TSTP Solution File: SWW332+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW332+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:07:40 EDT 2024
% Result : Theorem 191.16s 191.43s
% Output : CNFRefutation 191.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWW332+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 05:35:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.52/0.58 start to proof:theBenchmark
% 190.69/191.26 %-------------------------------------------
% 190.69/191.26 % File :CSE---1.7
% 190.69/191.26 % Problem :theBenchmark
% 190.69/191.26 % Transform :cnf
% 190.69/191.26 % Format :tptp:raw
% 190.69/191.26 % Command :java -jar mcs_scs.jar %d %s
% 190.69/191.26
% 190.69/191.26 % Result :Theorem 176.630000s
% 190.69/191.26 % Output :CNFRefutation 176.630000s
% 190.69/191.26 %-------------------------------------------
% 190.69/191.27 %------------------------------------------------------------------------------
% 190.69/191.27 % File : SWW332+1 : TPTP v8.2.0. Released v5.2.0.
% 190.69/191.27 % Domain : Software Verification
% 190.69/191.27 % Problem : Hoare's Logic with Procedures 435144, 5000 axioms selected
% 190.69/191.27 % Version : Especial.
% 190.69/191.27 % English :
% 190.69/191.27
% 190.69/191.27 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 190.69/191.27 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 190.69/191.27 % Source : [Bla11]
% 190.69/191.27 % Names : hoare_435144.5000.p [Bla11]
% 190.69/191.27
% 190.69/191.27 % Status : ContradictoryAxioms
% 190.69/191.27 % Rating : 0.83 v8.2.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.86 v7.1.0, 0.83 v7.0.0, 0.87 v6.4.0, 0.85 v6.3.0, 0.83 v6.2.0, 0.92 v6.1.0, 0.93 v6.0.0, 0.91 v5.5.0, 0.96 v5.4.0, 1.00 v5.3.0, 0.96 v5.2.0
% 190.69/191.27 % Syntax : Number of formulae : 5228 (1681 unt; 0 def)
% 190.69/191.27 % Number of atoms : 12741 (4421 equ)
% 190.69/191.27 % Maximal formula atoms : 13 ( 2 avg)
% 190.69/191.27 % Number of connectives : 8517 (1004 ~; 151 |; 720 &)
% 190.69/191.27 % ( 884 <=>;5758 =>; 0 <=; 0 <~>)
% 190.69/191.27 % Maximal formula depth : 22 ( 6 avg)
% 190.69/191.27 % Maximal term depth : 19 ( 2 avg)
% 190.69/191.27 % Number of predicates : 149 ( 148 usr; 0 prp; 1-6 aty)
% 190.69/191.27 % Number of functors : 392 ( 392 usr; 56 con; 0-7 aty)
% 190.69/191.27 % Number of variables : 16656 (16507 !; 149 ?)
% 190.69/191.27 % SPC : FOF_CAX_RFO_SEQ
% 190.69/191.27
% 190.69/191.27 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 190.69/191.27 % 2011-03-01 12:04:23
% 190.69/191.27 %------------------------------------------------------------------------------
% 190.69/191.27 %----Relevant facts (4985)
% 190.69/191.27 fof(fact_ext,axiom,
% 190.69/191.27 ! [V_g_2,V_f_2] :
% 190.69/191.27 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 190.69/191.27 => V_f_2 = V_g_2 ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_Body__triple__valid__Suc,axiom,
% 190.69/191.27 ! [V_Qa_2,V_pn_2,V_Pa_2,V_n_2,T_b] :
% 190.69/191.27 ( 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_pn_2))),V_Qa_2))
% 190.69/191.27 <=> 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_pn_2)),V_Qa_2)) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_triple_Oinject,axiom,
% 190.69/191.27 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 190.69/191.27 ( 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)
% 190.69/191.27 <=> ( V_fun1_2 = V_fun1_H_2
% 190.69/191.27 & V_com_2 = V_com_H_2
% 190.69/191.27 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_triples__valid__Suc,axiom,
% 190.69/191.27 ! [V_n_2,V_ts_2,T_b] :
% 190.69/191.27 ( ! [B_x] :
% 190.69/191.27 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 190.69/191.27 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 190.69/191.27 => ! [B_x] :
% 190.69/191.27 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 190.69/191.27 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_triple__valid__Suc,axiom,
% 190.69/191.27 ! [V_t,V_n,T_a] :
% 190.69/191.27 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 190.69/191.27 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_UnE,axiom,
% 190.69/191.27 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.27 ( 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)))
% 190.69/191.27 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_UnCI,axiom,
% 190.69/191.27 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 190.69/191.27 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.69/191.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 190.69/191.27 => 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))) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_image__eqI,axiom,
% 190.69/191.27 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 190.69/191.27 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 190.69/191.27 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.69/191.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_hoare__valids__def,axiom,
% 190.69/191.27 ! [V_ts_2,V_Ga_2,T_b] :
% 190.69/191.27 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2)
% 190.69/191.27 <=> ! [B_n] :
% 190.69/191.27 ( ! [B_x] :
% 190.69/191.27 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2))
% 190.69/191.27 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 190.69/191.27 => ! [B_x] :
% 190.69/191.27 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 190.69/191.27 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_hoare__derivs_OBody,axiom,
% 190.69/191.27 ! [V_Procsa_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.27 ( 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_Procsa_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_Procsa_2))
% 190.69/191.27 => 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_Procsa_2)) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_sup1E,axiom,
% 190.69/191.27 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.69/191.27 ( 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))
% 190.69/191.27 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 190.69/191.27 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_sup1CI,axiom,
% 190.69/191.27 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 190.69/191.27 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 190.69/191.27 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 190.69/191.27 => 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)) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_sup__fun__def,axiom,
% 190.69/191.27 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.69/191.27 ( class_Lattices_Olattice(T_b)
% 190.69/191.27 => 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)) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_equalityCE,axiom,
% 190.69/191.27 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 190.69/191.27 ( V_A_2 = V_B_2
% 190.69/191.27 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.27 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 190.69/191.27 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_sup__Un__eq,axiom,
% 190.69/191.27 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 190.69/191.27 ( 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))
% 190.69/191.27 <=> 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))) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_triple_Orecs,axiom,
% 190.69/191.27 ! [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) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_cut,axiom,
% 190.69/191.27 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 190.69/191.27 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 190.69/191.27 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 190.69/191.27 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_eq__mem__trans,axiom,
% 190.69/191.27 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 190.69/191.27 ( V_a_2 = V_b_2
% 190.69/191.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 190.69/191.27 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_eqelem__imp__iff,axiom,
% 190.69/191.27 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 190.69/191.27 ( V_x_2 = V_y_2
% 190.69/191.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.27 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 190.69/191.27
% 190.69/191.27 fof(fact_eqset__imp__iff,axiom,
% 190.69/191.27 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 190.69/191.27 ( V_A_2 = V_B_2
% 190.69/191.27 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.27 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_eq__mem,axiom,
% 190.69/191.28 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 190.69/191.28 <=> V_x_2 = V_y_2 ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_mem__def,axiom,
% 190.69/191.28 ! [V_A_2,V_x_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.28 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup__assoc,axiom,
% 190.69/191.28 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_inf__sup__aci_I6_J,axiom,
% 190.69/191.28 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Olattice(T_a)
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup_Oassoc,axiom,
% 190.69/191.28 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup__left__commute,axiom,
% 190.69/191.28 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_inf__sup__aci_I7_J,axiom,
% 190.69/191.28 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Olattice(T_a)
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup_Oleft__commute,axiom,
% 190.69/191.28 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup__left__idem,axiom,
% 190.69/191.28 ! [V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_inf__sup__aci_I8_J,axiom,
% 190.69/191.28 ! [V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Olattice(T_a)
% 190.69/191.28 => 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) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup_Oleft__idem,axiom,
% 190.69/191.28 ! [V_b,V_a,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup__commute,axiom,
% 190.69/191.28 ! [V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_inf__sup__aci_I5_J,axiom,
% 190.69/191.28 ! [V_y,V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Olattice(T_a)
% 190.69/191.28 => 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) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup_Ocommute,axiom,
% 190.69/191.28 ! [V_b,V_a,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => 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) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup__idem,axiom,
% 190.69/191.28 ! [V_x,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup_Oidem,axiom,
% 190.69/191.28 ! [V_a,T_a] :
% 190.69/191.28 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.28 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup1I2,axiom,
% 190.69/191.28 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 190.69/191.28 ( hBOOL(hAPP(V_B_2,V_x_2))
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup1I1,axiom,
% 190.69/191.28 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 190.69/191.28 ( hBOOL(hAPP(V_A_2,V_x_2))
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_ball__Un,axiom,
% 190.69/191.28 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 190.69/191.28 ( ! [B_x] :
% 190.69/191.28 ( 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)))
% 190.69/191.28 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.69/191.28 <=> ( ! [B_x] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.28 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.69/191.28 & ! [B_x] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 190.69/191.28 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_bex__Un,axiom,
% 190.69/191.28 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 190.69/191.28 ( ? [B_x] :
% 190.69/191.28 ( 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)))
% 190.69/191.28 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.69/191.28 <=> ( ? [B_x] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.28 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 190.69/191.28 | ? [B_x] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 190.69/191.28 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Un__assoc,axiom,
% 190.69/191.28 ! [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)) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Un__left__commute,axiom,
% 190.69/191.28 ! [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)) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Un__left__absorb,axiom,
% 190.69/191.28 ! [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) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Un__commute,axiom,
% 190.69/191.28 ! [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) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Un__absorb,axiom,
% 190.69/191.28 ! [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 ).
% 190.69/191.28
% 190.69/191.28 fof(fact_pred__equals__eq,axiom,
% 190.69/191.28 ! [V_S_2,V_R_2,T_b] :
% 190.69/191.28 ( 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)
% 190.69/191.28 <=> V_R_2 = V_S_2 ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_image__image,axiom,
% 190.69/191.28 ! [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) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_rev__image__eqI,axiom,
% 190.69/191.28 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.28 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 190.69/191.28 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_imageI,axiom,
% 190.69/191.28 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.28 => 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))) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_image__iff,axiom,
% 190.69/191.28 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 190.69/191.28 <=> ? [B_x] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 190.69/191.28 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_UnI2,axiom,
% 190.69/191.28 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.69/191.28 => 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))) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_UnI1,axiom,
% 190.69/191.28 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.28 => 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))) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Un__iff,axiom,
% 190.69/191.28 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.28 ( 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)))
% 190.69/191.28 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.28 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_sup__apply,axiom,
% 190.69/191.28 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.69/191.28 ( class_Lattices_Olattice(T_b)
% 190.69/191.28 => 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)) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_image__Un,axiom,
% 190.69/191.28 ! [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)) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_triple_Osimps_I2_J,axiom,
% 190.69/191.28 ! [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) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Body1,axiom,
% 190.69/191.28 ! [V_pn_2,V_Procsa_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.28 ( 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_Procsa_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_Procsa_2))
% 190.69/191.28 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procsa_2))
% 190.69/191.28 => 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_pn_2)),hAPP(c_Com_Ocom_OBODY,V_pn_2)),hAPP(V_Qa_2,V_pn_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_image__ident,axiom,
% 190.69/191.28 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Powp__def,axiom,
% 190.69/191.28 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 190.69/191.28 <=> ! [B_x] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 190.69/191.28 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Body__triple__valid__0,axiom,
% 190.69/191.28 ! [V_Qa_2,V_pn_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_pn_2)),V_Qa_2)) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_evaln_OBody,axiom,
% 190.69/191.28 ! [V_s1,V_n,V_s0,V_pn] :
% 190.69/191.28 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1)
% 190.69/191.28 => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_com_Osimps_I6_J,axiom,
% 190.69/191.28 ! [V_pname_H_2,V_pname_2] :
% 190.69/191.28 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2)
% 190.69/191.28 <=> V_pname_2 = V_pname_H_2 ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_imageE,axiom,
% 190.69/191.28 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 190.69/191.28 => ~ ! [B_x] :
% 190.69/191.28 ( V_b_2 = hAPP(V_f_2,B_x)
% 190.69/191.28 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_evaln_Oequations_I9_J,axiom,
% 190.69/191.28 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] :
% 190.69/191.28 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2)
% 190.69/191.28 <=> 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) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Suc__inject,axiom,
% 190.69/191.28 ! [V_y,V_x] :
% 190.69/191.28 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 190.69/191.28 => V_x = V_y ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_nat_Oinject,axiom,
% 190.69/191.28 ! [V_nat_H_2,V_nat_2] :
% 190.69/191.28 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 190.69/191.28 <=> V_nat_2 = V_nat_H_2 ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_Suc__n__not__n,axiom,
% 190.69/191.28 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 190.69/191.28
% 190.69/191.28 fof(fact_emptyE,axiom,
% 190.69/191.28 ! [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)))) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_insertE,axiom,
% 190.69/191.28 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 190.69/191.28 => ( V_a_2 != V_b_2
% 190.69/191.28 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_insertCI,axiom,
% 190.69/191.28 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 190.69/191.28 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 190.69/191.28 => V_a_2 = V_b_2 )
% 190.69/191.28 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_empty__not__insert,axiom,
% 190.69/191.28 ! [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) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_insert__not__empty,axiom,
% 190.69/191.28 ! [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)) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_insert__absorb2,axiom,
% 190.69/191.28 ! [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) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_insert__commute,axiom,
% 190.69/191.28 ! [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)) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_doubleton__eq__iff,axiom,
% 190.69/191.28 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.28 ( 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))))
% 190.69/191.28 <=> ( ( V_a_2 = V_c_2
% 190.69/191.28 & V_b_2 = V_d_2 )
% 190.69/191.28 | ( V_a_2 = V_d_2
% 190.69/191.28 & V_b_2 = V_c_2 ) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_insert__code,axiom,
% 190.69/191.28 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 190.69/191.28 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 190.69/191.28 <=> ( V_y_2 = V_x_2
% 190.69/191.28 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_singleton__inject,axiom,
% 190.69/191.28 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.28 ( 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)))
% 190.69/191.28 => V_a_2 = V_b_2 ) ).
% 190.69/191.28
% 190.69/191.28 fof(fact_singletonE,axiom,
% 190.69/191.28 ! [V_a_2,V_b_2,T_b] :
% 190.69/191.29 ( 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)))))
% 190.69/191.29 => V_b_2 = V_a_2 ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_singleton__iff,axiom,
% 190.69/191.29 ! [V_a_2,V_b_2,T_b] :
% 190.69/191.29 ( 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)))))
% 190.69/191.29 <=> V_b_2 = V_a_2 ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_insert__is__Un,axiom,
% 190.69/191.29 ! [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_derivs__insertD,axiom,
% 190.69/191.29 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 190.69/191.29 ( 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))
% 190.69/191.29 => ( 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))))
% 190.69/191.29 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_hoare__derivs_Oinsert,axiom,
% 190.69/191.29 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 190.69/191.29 ( 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))))
% 190.69/191.29 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 190.69/191.29 => 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)) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln__Suc,axiom,
% 190.69/191.29 ! [V_s_H,V_n,V_s,V_c] :
% 190.69/191.29 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 190.69/191.29 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Zero__not__Suc,axiom,
% 190.69/191.29 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_nat_Osimps_I2_J,axiom,
% 190.69/191.29 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Suc__not__Zero,axiom,
% 190.69/191.29 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_nat_Osimps_I3_J,axiom,
% 190.69/191.29 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Zero__neq__Suc,axiom,
% 190.69/191.29 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Suc__neq__Zero,axiom,
% 190.69/191.29 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_image__constant__conv,axiom,
% 190.69/191.29 ! [V_c_2,T_c,T_b,V_A_2] :
% 190.69/191.29 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.29 => 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)) )
% 190.69/191.29 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.29 => 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))) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_insertI1,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_insert__iff,axiom,
% 190.69/191.29 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 190.69/191.29 <=> ( V_a_2 = V_b_2
% 190.69/191.29 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_insert__ident,axiom,
% 190.69/191.29 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.69/191.29 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.29 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.69/191.29 => ( 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)
% 190.69/191.29 <=> V_A_2 = V_B_2 ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_insertI2,axiom,
% 190.69/191.29 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_insert__absorb,axiom,
% 190.69/191.29 ! [V_A_2,V_a_2,T_b] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.29 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_image__insert,axiom,
% 190.69/191.29 ! [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)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Un__insert__right,axiom,
% 190.69/191.29 ! [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)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Un__insert__left,axiom,
% 190.69/191.29 ! [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)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_image__constant,axiom,
% 190.69/191.29 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.29 => 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))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_all__not__in__conv,axiom,
% 190.69/191.29 ! [V_A_2,T_b] :
% 190.69/191.29 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.29 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_ex__in__conv,axiom,
% 190.69/191.29 ! [V_A_2,T_b] :
% 190.69/191.29 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.29 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_empty__iff,axiom,
% 190.69/191.29 ! [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)))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_equals0D,axiom,
% 190.69/191.29 ! [V_a_2,T_b,V_A_2] :
% 190.69/191.29 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.29 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_empty__is__image,axiom,
% 190.69/191.29 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.29 ( 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)
% 190.69/191.29 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_image__empty,axiom,
% 190.69/191.29 ! [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)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_image__is__empty,axiom,
% 190.69/191.29 ! [V_A_2,V_f_2,T_b,T_c] :
% 190.69/191.29 ( 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))
% 190.69/191.29 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_ball__empty,axiom,
% 190.69/191.29 ! [V_Pa_2,T_b,B_x] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 190.69/191.29 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Un__empty__left,axiom,
% 190.69/191.29 ! [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 ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Un__empty__right,axiom,
% 190.69/191.29 ! [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 ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Un__empty,axiom,
% 190.69/191.29 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.29 ( 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))
% 190.69/191.29 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.29 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_empty,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_bot__empty__eq,axiom,
% 190.69/191.29 ! [V_x_2,T_b] :
% 190.69/191.29 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 190.69/191.29 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_sup__bot__left,axiom,
% 190.69/191.29 ! [V_x,T_a] :
% 190.69/191.29 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.69/191.29 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_sup__bot__right,axiom,
% 190.69/191.29 ! [V_x,T_a] :
% 190.69/191.29 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.69/191.29 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_sup__eq__bot__iff,axiom,
% 190.69/191.29 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.29 ( class_Lattices_Obounded__lattice__bot(T_b)
% 190.69/191.29 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 190.69/191.29 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 190.69/191.29 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_insert__image,axiom,
% 190.69/191.29 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.29 => 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) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_triple__valid__def2,axiom,
% 190.69/191.29 ! [V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b] :
% 190.69/191.29 ( 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))
% 190.69/191.29 <=> ! [B_Z,B_s] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 190.69/191.29 => ! [B_s_H] :
% 190.69/191.29 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)
% 190.69/191.29 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_weak__Body,axiom,
% 190.69/191.29 ! [V_Qa_2,V_pn_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.29 ( 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_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn_2))),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 190.69/191.29 => 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_pn_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_BodyN,axiom,
% 190.69/191.29 ! [V_Ga_2,V_Qa_2,V_pn_2,V_Pa_2,T_b] :
% 190.69/191.29 ( 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_pn_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_pn_2))),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 190.69/191.29 => 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_pn_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_n__not__Suc__n,axiom,
% 190.69/191.29 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_triple_Osize_I1_J,axiom,
% 190.69/191.29 ! [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_triple_Osize_I2_J,axiom,
% 190.69/191.29 ! [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln__elim__cases_I6_J,axiom,
% 190.69/191.29 ! [V_s1,V_n,V_s,V_P] :
% 190.69/191.29 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
% 190.69/191.29 => ~ ! [B_n] :
% 190.69/191.29 ( V_n = hAPP(c_Nat_OSuc,B_n)
% 190.69/191.29 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_the__elem__eq,axiom,
% 190.69/191.29 ! [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 ).
% 190.69/191.29
% 190.69/191.29 fof(fact_bot__fun__def,axiom,
% 190.69/191.29 ! [V_x_2,T_c,T_b] :
% 190.69/191.29 ( class_Orderings_Obot(T_b)
% 190.69/191.29 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_bot__apply,axiom,
% 190.69/191.29 ! [V_x_2,T_c,T_b] :
% 190.69/191.29 ( class_Orderings_Obot(T_b)
% 190.69/191.29 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_escape,axiom,
% 190.69/191.29 ! [V_Qa_2,V_c_2,V_Ga_2,T_b,V_Pa_2] :
% 190.69/191.29 ( ! [B_Z,B_s] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 190.69/191.29 => 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)))) )
% 190.69/191.29 => 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)))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 190.69/191.29 ! [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)))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_hoare__derivs_OSkip,axiom,
% 190.69/191.29 ! [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)))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_conseq1,axiom,
% 190.69/191.29 ! [V_Pa_2,V_Qa_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 190.69/191.29 ( 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))))
% 190.69/191.29 => ( ! [B_Z,B_s] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 190.69/191.29 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 190.69/191.29 => 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)))) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_conseq2,axiom,
% 190.69/191.29 ! [V_Qa_2,V_Q_H_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.29 ( 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))))
% 190.69/191.29 => ( ! [B_Z,B_s] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 190.69/191.29 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 190.69/191.29 => 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)))) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Comp,axiom,
% 190.69/191.29 ! [V_R_2,V_d_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.29 ( 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))))
% 190.69/191.29 => ( 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))))
% 190.69/191.29 => 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)))) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_OSemi,axiom,
% 190.69/191.29 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 190.69/191.29 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1)
% 190.69/191.29 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 190.69/191.29 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_OSkip,axiom,
% 190.69/191.29 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln__elim__cases_I1_J,axiom,
% 190.69/191.29 ! [V_t,V_n,V_s] :
% 190.69/191.29 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
% 190.69/191.29 => V_t = V_s ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I3_J,axiom,
% 190.69/191.29 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 190.69/191.29 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 190.69/191.29 <=> ( V_com1_2 = V_com1_H_2
% 190.69/191.29 & V_com2_2 = V_com2_H_2 ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I13_J,axiom,
% 190.69/191.29 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I12_J,axiom,
% 190.69/191.29 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_Oequations_I4_J,axiom,
% 190.69/191.29 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 190.69/191.29 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2)
% 190.69/191.29 <=> ? [B_s1] :
% 190.69/191.29 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1)
% 190.69/191.29 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I48_J,axiom,
% 190.69/191.29 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I49_J,axiom,
% 190.69/191.29 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_bot__nat__def,axiom,
% 190.69/191.29 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_Oequations_I1_J,axiom,
% 190.69/191.29 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I19_J,axiom,
% 190.69/191.29 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I18_J,axiom,
% 190.69/191.29 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_the__elem__def,axiom,
% 190.69/191.29 ! [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))))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_LoopF,axiom,
% 190.69/191.29 ! [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)))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_OBody,axiom,
% 190.69/191.29 ! [V_s1,V_s0,V_pn] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1))
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc__elim__cases_I6_J,axiom,
% 190.69/191.29 ! [V_s1,V_s,V_P] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1))
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_override__on__def,axiom,
% 190.69/191.29 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 190.69/191.29 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.29 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) )
% 190.69/191.29 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.29 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_Oequations_I9_J,axiom,
% 190.69/191.29 ! [V_a3_2,V_a2_2,V_a1_2] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2))
% 190.69/191.29 <=> 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)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln__elim__cases_I4_J,axiom,
% 190.69/191.29 ! [V_t,V_n,V_s,V_c2,V_c1] :
% 190.69/191.29 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
% 190.69/191.29 => ~ ! [B_s1] :
% 190.69/191.29 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1)
% 190.69/191.29 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Least__Suc,axiom,
% 190.69/191.29 ! [V_n_2,V_Pa_2] :
% 190.69/191.29 ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 190.69/191.29 => ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 190.69/191.29 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Pa_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_OSuc))) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osize_I1_J,axiom,
% 190.69/191.29 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Nats__0,axiom,
% 190.69/191.29 ! [T_b] :
% 190.69/191.29 ( class_Rings_Osemiring__1(T_b)
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Powp__Pow__eq,axiom,
% 190.69/191.29 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.29 ( 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))
% 190.69/191.29 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_OWhileTrue,axiom,
% 190.69/191.29 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] :
% 190.69/191.29 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 190.69/191.29 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2)
% 190.69/191.29 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2)
% 190.69/191.29 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_OWhileFalse,axiom,
% 190.69/191.29 ! [V_n_2,V_c_2,V_s_2,V_b_2] :
% 190.69/191.29 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.29 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_OWhileFalse,axiom,
% 190.69/191.29 ! [V_c_2,V_s_2,V_b_2] :
% 190.69/191.29 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_s_2)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_OWhileTrue,axiom,
% 190.69/191.29 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] :
% 190.69/191.29 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 190.69/191.29 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s0_2),V_s1_2))
% 190.69/191.29 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_s2_2))
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_OSemi,axiom,
% 190.69/191.29 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 190.69/191.29 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_OSkip,axiom,
% 190.69/191.29 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc__elim__cases_I1_J,axiom,
% 190.69/191.29 ! [V_t,V_s] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 190.69/191.29 => V_t = V_s ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Pow__not__empty,axiom,
% 190.69/191.29 ! [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)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Pow__top,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I5_J,axiom,
% 190.69/191.29 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 190.69/191.29 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 190.69/191.29 <=> ( V_fun_2 = V_fun_H_2
% 190.69/191.29 & V_com_2 = V_com_H_2 ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_Oequations_I7_J,axiom,
% 190.69/191.29 ! [V_a2_2,V_a3_2,V_a1_2] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 190.69/191.29 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.29 => ? [B_s1] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 190.69/191.29 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_Oequations_I8_J,axiom,
% 190.69/191.29 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 190.69/191.29 <=> ( ( V_a5_2 = V_a2_2
% 190.69/191.29 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 190.69/191.29 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.29 & ? [B_s1] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 190.69/191.29 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com__det,axiom,
% 190.69/191.29 ! [V_u,V_t,V_s,V_c] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 190.69/191.29 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 190.69/191.29 => V_u = V_t ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Cantors__paradox,axiom,
% 190.69/191.29 ! [V_A_2,T_b] :
% 190.69/191.29 ~ ? [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_LeastI__ex,axiom,
% 190.69/191.29 ! [V_Pa_2,T_b] :
% 190.69/191.29 ( class_Orderings_Owellorder(T_b)
% 190.69/191.29 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 190.69/191.29 => hBOOL(hAPP(V_Pa_2,c_Orderings_Oord__class_OLeast(T_b,V_Pa_2))) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_LeastI,axiom,
% 190.69/191.29 ! [V_k_2,V_Pa_2,T_b] :
% 190.69/191.29 ( class_Orderings_Owellorder(T_b)
% 190.69/191.29 => ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 190.69/191.29 => hBOOL(hAPP(V_Pa_2,c_Orderings_Oord__class_OLeast(T_b,V_Pa_2))) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln__evalc,axiom,
% 190.69/191.29 ! [V_t,V_n,V_s,V_c] :
% 190.69/191.29 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 190.69/191.29 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_eval__eq,axiom,
% 190.69/191.29 ! [V_t_2,V_s_2,V_c_2] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),V_t_2))
% 190.69/191.29 <=> ? [B_n] : c_Natural_Oevaln(V_c_2,V_s_2,B_n,V_t_2) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_Oequations_I4_J,axiom,
% 190.69/191.29 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 190.69/191.29 <=> ? [B_s1] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 190.69/191.29 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Pow__bottom,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Pow__empty,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc_Oequations_I1_J,axiom,
% 190.69/191.29 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Pow__insert,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_image__Pow__surj,axiom,
% 190.69/191.29 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 190.69/191.29 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 190.69/191.29 => 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) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_Oequations_I8_J,axiom,
% 190.69/191.29 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 190.69/191.29 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2)
% 190.69/191.29 <=> ( ( V_a6_2 = V_a2_2
% 190.69/191.29 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 190.69/191.29 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.29 & ? [B_s1] :
% 190.69/191.29 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 190.69/191.29 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evaln_Oequations_I7_J,axiom,
% 190.69/191.29 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 190.69/191.29 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2)
% 190.69/191.29 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.29 => ? [B_s1] :
% 190.69/191.29 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 190.69/191.29 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I59_J,axiom,
% 190.69/191.29 ! [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I58_J,axiom,
% 190.69/191.29 ! [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I46_J,axiom,
% 190.69/191.29 ! [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I47_J,axiom,
% 190.69/191.29 ! [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) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I16_J,axiom,
% 190.69/191.29 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osimps_I17_J,axiom,
% 190.69/191.29 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 190.69/191.29
% 190.69/191.29 fof(fact_override__on__apply__notin,axiom,
% 190.69/191.29 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 190.69/191.29 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.29 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_f_2,V_a_2) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_override__on__apply__in,axiom,
% 190.69/191.29 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.29 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_a_2) = hAPP(V_g_2,V_a_2) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_override__on__emptyset,axiom,
% 190.69/191.29 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osize_I7_J,axiom,
% 190.69/191.29 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_MGT__def,axiom,
% 190.69/191.29 ! [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)) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_the__eq__trivial,axiom,
% 190.69/191.29 ! [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 ).
% 190.69/191.29
% 190.69/191.29 fof(fact_the__sym__eq__trivial,axiom,
% 190.69/191.29 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osize_I4_J,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osize_I6_J,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Least__Suc2,axiom,
% 190.69/191.29 ! [V_m_2,V_Qa_2,V_n_2,V_Pa_2] :
% 190.69/191.29 ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 190.69/191.29 => ( hBOOL(hAPP(V_Qa_2,V_m_2))
% 190.69/191.29 => ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 190.69/191.29 => ( ! [B_k] :
% 190.69/191.29 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_OSuc,B_k)))
% 190.69/191.29 <=> hBOOL(hAPP(V_Qa_2,B_k)) )
% 190.69/191.29 => c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Pa_2) = hAPP(c_Nat_OSuc,c_Orderings_Oord__class_OLeast(tc_Nat_Onat,V_Qa_2)) ) ) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_the__inv__into__def,axiom,
% 190.69/191.29 ! [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))) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Loop__sound__lemma,axiom,
% 190.69/191.29 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.29 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_c_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 190.69/191.29 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_c_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_evalc__elim__cases_I4_J,axiom,
% 190.69/191.29 ! [V_t,V_s,V_c2,V_c1] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 190.69/191.29 => ~ ! [B_s1] :
% 190.69/191.29 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 190.69/191.29 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_com_Osize_I9_J,axiom,
% 190.69/191.29 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_Loop,axiom,
% 190.69/191.29 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.29 ( 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))))
% 190.69/191.29 => 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)))) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_o__eq__elim,axiom,
% 190.69/191.29 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 190.69/191.29 ( 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)
% 190.69/191.29 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 190.69/191.29
% 190.69/191.29 fof(fact_o__eq__dest,axiom,
% 190.69/191.29 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 190.69/191.29 ( 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)
% 190.69/191.30 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_o__apply,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat__add__right__cancel,axiom,
% 190.69/191.30 ! [V_n_2,V_k_2,V_m_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 <=> V_m_2 = V_n_2 ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat__add__left__cancel,axiom,
% 190.69/191.30 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 <=> V_m_2 = V_n_2 ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat__add__assoc,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_o__assoc,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat__add__left__commute,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat__add__commute,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_o__def,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_image__compose,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_plus__nat_Oadd__0,axiom,
% 190.69/191.30 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Nat_Oadd__0__right,axiom,
% 190.69/191.30 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__is__0,axiom,
% 190.69/191.30 ! [V_n_2,V_m_2] :
% 190.69/191.30 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.30 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.30 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__eq__self__zero,axiom,
% 190.69/191.30 ! [V_n,V_m] :
% 190.69/191.30 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 190.69/191.30 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__Suc__shift,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__Suc,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__Suc__right,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_peek__and__def,axiom,
% 190.69/191.30 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 190.69/191.30 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 190.69/191.30 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osize_I14_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osize_I12_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_one__is__add,axiom,
% 190.69/191.30 ! [V_n_2,V_m_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.69/191.30 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.69/191.30 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.30 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__is__1,axiom,
% 190.69/191.30 ! [V_n_2,V_m_2] :
% 190.69/191.30 ( 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))
% 190.69/191.30 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.69/191.30 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.69/191.30 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.30 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Nats__add,axiom,
% 190.69/191.30 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.30 ( class_Rings_Osemiring__1(T_b)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.69/191.30 => 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))) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osize_I15_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_hoare__derivs_OIf,axiom,
% 190.69/191.30 ! [V_d_2,V_Qa_2,V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 190.69/191.30 ( 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))))
% 190.69/191.30 => ( 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))))
% 190.69/191.30 => 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)))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__0__left,axiom,
% 190.69/191.30 ! [V_a,T_a] :
% 190.69/191.30 ( class_Groups_Omonoid__add(T_a)
% 190.69/191.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 190.69/191.30 ! [V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__0,axiom,
% 190.69/191.30 ! [V_a,T_a] :
% 190.69/191.30 ( class_Groups_Ocomm__monoid__add(T_a)
% 190.69/191.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_double__zero__sym,axiom,
% 190.69/191.30 ! [V_a_2,T_b] :
% 190.69/191.30 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.69/191.30 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 190.69/191.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__0__right,axiom,
% 190.69/191.30 ! [V_a,T_a] :
% 190.69/191.30 ( class_Groups_Omonoid__add(T_a)
% 190.69/191.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 190.69/191.30 ! [V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add_Ocomm__neutral,axiom,
% 190.69/191.30 ! [V_a,T_a] :
% 190.69/191.30 ( class_Groups_Ocomm__monoid__add(T_a)
% 190.69/191.30 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__0__iff,axiom,
% 190.69/191.30 ! [V_a_2,V_b_2,T_b] :
% 190.69/191.30 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 190.69/191.30 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 190.69/191.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_double__eq__0__iff,axiom,
% 190.69/191.30 ! [V_a_2,T_b] :
% 190.69/191.30 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.69/191.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osize_I13_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evaln__elim__cases_I5_J,axiom,
% 190.69/191.30 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) )
% 190.69/191.30 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evaln_OIfTrue,axiom,
% 190.69/191.30 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] :
% 190.69/191.30 ( hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2)
% 190.69/191.30 => 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) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evaln_OIfFalse,axiom,
% 190.69/191.30 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] :
% 190.69/191.30 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2)
% 190.69/191.30 => 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) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evalc_OIfFalse,axiom,
% 190.69/191.30 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] :
% 190.69/191.30 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 190.69/191.30 => 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)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evalc_OIfTrue,axiom,
% 190.69/191.30 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] :
% 190.69/191.30 ( hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 190.69/191.30 => 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)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evalc__elim__cases_I5_J,axiom,
% 190.69/191.30 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 190.69/191.30 ( 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))
% 190.69/191.30 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 190.69/191.30 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 190.69/191.30 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I4_J,axiom,
% 190.69/191.30 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 <=> ( V_fun_2 = V_fun_H_2
% 190.69/191.30 & V_com1_2 = V_com1_H_2
% 190.69/191.30 & V_com2_2 = V_com2_H_2 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evaln_Oequations_I6_J,axiom,
% 190.69/191.30 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) )
% 190.69/191.30 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evaln_Oequations_I5_J,axiom,
% 190.69/191.30 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) )
% 190.69/191.30 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evalc_Oequations_I5_J,axiom,
% 190.69/191.30 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 190.69/191.30 ( 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))
% 190.69/191.30 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 190.69/191.30 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_evalc_Oequations_I6_J,axiom,
% 190.69/191.30 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 190.69/191.30 ( 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))
% 190.69/191.30 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 190.69/191.30 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I55_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I54_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I53_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I52_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I44_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I45_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I14_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I15_J,axiom,
% 190.69/191.30 ! [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 ).
% 190.69/191.30
% 190.69/191.30 fof(fact_zero__reorient,axiom,
% 190.69/191.30 ! [V_x_2,T_b] :
% 190.69/191.30 ( class_Groups_Ozero(T_b)
% 190.69/191.30 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 190.69/191.30 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__right__imp__eq,axiom,
% 190.69/191.30 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.30 ( class_Groups_Ocancel__semigroup__add(T_a)
% 190.69/191.30 => ( 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)
% 190.69/191.30 => V_b = V_c ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__imp__eq,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 190.69/191.30 => ( 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)
% 190.69/191.30 => V_b = V_c ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__left__imp__eq,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Ocancel__semigroup__add(T_a)
% 190.69/191.30 => ( 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)
% 190.69/191.30 => V_b = V_c ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 190.69/191.30 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => 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)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__right__cancel,axiom,
% 190.69/191.30 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 190.69/191.30 ( class_Groups_Ocancel__semigroup__add(T_b)
% 190.69/191.30 => ( 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)
% 190.69/191.30 <=> V_b_2 = V_c_2 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__left__cancel,axiom,
% 190.69/191.30 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.30 ( class_Groups_Ocancel__semigroup__add(T_b)
% 190.69/191.30 => ( 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)
% 190.69/191.30 <=> V_b_2 = V_c_2 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => 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) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oab__semigroup__add(T_a)
% 190.69/191.30 => 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)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => 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)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 190.69/191.30 ! [V_d,V_c,V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => 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) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 190.69/191.30 ! [V_d,V_c,V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => 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)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 190.69/191.30 ! [V_c,V_a,T_a] :
% 190.69/191.30 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.30 => 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) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osize_I5_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osize_I3_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osize_I11_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_K__record__comp,axiom,
% 190.69/191.30 ! [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 ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat_Osize_I2_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Ints__double__eq__0__iff,axiom,
% 190.69/191.30 ! [V_a_2,T_b] :
% 190.69/191.30 ( class_Int_Oring__char__0(T_b)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.30 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat_Osize_I4_J,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Un__Pow__subset,axiom,
% 190.69/191.30 ! [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)))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_the__inv__into__comp,axiom,
% 190.69/191.30 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.69/191.30 ( 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))
% 190.69/191.30 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 190.69/191.30 => ( 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))))
% 190.69/191.30 => 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) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_finite__pointwise,axiom,
% 190.69/191.30 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2))
% 190.69/191.30 => ( ! [B_p] :
% 190.69/191.30 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 190.69/191.30 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_Pa_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Qa_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) )
% 190.69/191.30 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 190.69/191.30 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_Pa_2)),V_c0_2)),V_Qa_2)),V_U_2)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_o__eq__dest__lhs,axiom,
% 190.69/191.30 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 190.69/191.30 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 190.69/191.30 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comp__cong,axiom,
% 190.69/191.30 ! [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] :
% 190.69/191.30 ( 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))
% 190.69/191.30 => 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) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_order__refl,axiom,
% 190.69/191.30 ! [V_x,T_a] :
% 190.69/191.30 ( class_Orderings_Opreorder(T_a)
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_equalityI,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.30 => V_A_2 = V_B_2 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subsetD,axiom,
% 190.69/191.30 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_empty__subsetI,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__empty,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_PowI,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__inj__on,axiom,
% 190.69/191.30 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I2_J,axiom,
% 190.69/191.30 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 190.69/191.30 ( 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)
% 190.69/191.30 <=> ( V_loc_2 = V_loc_H_2
% 190.69/191.30 & V_fun_2 = V_fun_H_2
% 190.69/191.30 & V_com_2 = V_com_H_2 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__def,axiom,
% 190.69/191.30 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 <=> ! [B_x] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.30 => ! [B_xa] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 190.69/191.30 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 190.69/191.30 => B_x = B_xa ) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_equalityE,axiom,
% 190.69/191.30 ! [T_b,V_B_2,V_A_2] :
% 190.69/191.30 ( V_A_2 = V_B_2
% 190.69/191.30 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__trans,axiom,
% 190.69/191.30 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_predicate1D,axiom,
% 190.69/191.30 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 190.69/191.30 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.69/191.30 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_equalityD2,axiom,
% 190.69/191.30 ! [T_b,V_B_2,V_A_2] :
% 190.69/191.30 ( V_A_2 = V_B_2
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_equalityD1,axiom,
% 190.69/191.30 ! [T_b,V_B_2,V_A_2] :
% 190.69/191.30 ( V_A_2 = V_B_2
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_rev__predicate1D,axiom,
% 190.69/191.30 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] :
% 190.69/191.30 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 190.69/191.30 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_set__eq__subset,axiom,
% 190.69/191.30 ! [T_b,V_B_2,V_A_2] :
% 190.69/191.30 ( V_A_2 = V_B_2
% 190.69/191.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__refl,axiom,
% 190.69/191.30 ! [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)) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_linorder__le__cases,axiom,
% 190.69/191.30 ! [V_y,V_x,T_a] :
% 190.69/191.30 ( class_Orderings_Olinorder(T_a)
% 190.69/191.30 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__funE,axiom,
% 190.69/191.30 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 190.69/191.30 ( class_Orderings_Oord(T_c)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.69/191.30 => 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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_xt1_I6_J,axiom,
% 190.69/191.30 ! [V_z,V_x,V_y,T_a] :
% 190.69/191.30 ( class_Orderings_Oorder(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_xt1_I5_J,axiom,
% 190.69/191.30 ! [V_x,V_y,T_a] :
% 190.69/191.30 ( class_Orderings_Oorder(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.30 => V_x = V_y ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_order__trans,axiom,
% 190.69/191.30 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.30 ( class_Orderings_Opreorder(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_order__antisym,axiom,
% 190.69/191.30 ! [V_y,V_x,T_a] :
% 190.69/191.30 ( class_Orderings_Oorder(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.30 => V_x = V_y ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_xt1_I4_J,axiom,
% 190.69/191.30 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.30 ( class_Orderings_Oorder(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.69/191.30 => ( V_b = V_c
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_ord__le__eq__trans,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Orderings_Oord(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.30 => ( V_b = V_c
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_xt1_I3_J,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Orderings_Oorder(T_a)
% 190.69/191.30 => ( V_a = V_b
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_ord__eq__le__trans,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Orderings_Oord(T_a)
% 190.69/191.30 => ( V_a = V_b
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_order__antisym__conv,axiom,
% 190.69/191.30 ! [V_x_2,V_y_2,T_b] :
% 190.69/191.30 ( class_Orderings_Oorder(T_b)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.30 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__funD,axiom,
% 190.69/191.30 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 190.69/191.30 ( class_Orderings_Oord(T_c)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.69/191.30 => 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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_order__eq__refl,axiom,
% 190.69/191.30 ! [V_y,V_x,T_a] :
% 190.69/191.30 ( class_Orderings_Opreorder(T_a)
% 190.69/191.30 => ( V_x = V_y
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_order__eq__iff,axiom,
% 190.69/191.30 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.30 ( class_Orderings_Oorder(T_b)
% 190.69/191.30 => ( V_x_2 = V_y_2
% 190.69/191.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_linorder__linear,axiom,
% 190.69/191.30 ! [V_y,V_x,T_a] :
% 190.69/191.30 ( class_Orderings_Olinorder(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.30 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__fun__def,axiom,
% 190.69/191.30 ! [V_g_2,V_f_2,T_b,T_c] :
% 190.69/191.30 ( class_Orderings_Oord(T_c)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.69/191.30 <=> ! [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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat__size,axiom,
% 190.69/191.30 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__id2,axiom,
% 190.69/191.30 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Pow__mono,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Powp__mono,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__onD,axiom,
% 190.69/191.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.69/191.30 => V_x_2 = V_y_2 ) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__iff,axiom,
% 190.69/191.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.69/191.30 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 190.69/191.30 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__contraD,axiom,
% 190.69/191.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( V_x_2 != V_y_2
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.69/191.30 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__Suc,axiom,
% 190.69/191.30 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__imageI2,axiom,
% 190.69/191.30 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 190.69/191.30 ( 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)
% 190.69/191.30 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_set__mp,axiom,
% 190.69/191.30 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_set__rev__mp,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_in__mono,axiom,
% 190.69/191.30 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__le__cancel__right,axiom,
% 190.69/191.30 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 190.69/191.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.69/191.30 => ( 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)))
% 190.69/191.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__le__cancel__left,axiom,
% 190.69/191.30 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.69/191.30 => ( 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)))
% 190.69/191.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__right__mono,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.30 => 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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__left__mono,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.30 => 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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__mono,axiom,
% 190.69/191.30 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.69/191.30 => 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))) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__le__imp__le__right,axiom,
% 190.69/191.30 ! [V_b,V_c,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.69/191.30 => ( 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)))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__le__imp__le__left,axiom,
% 190.69/191.30 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.69/191.30 => ( 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)))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_bot__least,axiom,
% 190.69/191.30 ! [V_x,T_a] :
% 190.69/191.30 ( class_Orderings_Obot(T_a)
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__empty,axiom,
% 190.69/191.30 ! [V_A_2,T_b] :
% 190.69/191.30 ( 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))))
% 190.69/191.30 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__supE,axiom,
% 190.69/191.30 ! [V_x,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( 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))
% 190.69/191.30 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.69/191.30 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_sup__mono,axiom,
% 190.69/191.30 ! [V_d,V_b,V_c,V_a,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 190.69/191.30 => 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))) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_sup__least,axiom,
% 190.69/191.30 ! [V_z,V_x,V_y,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 190.69/191.30 => 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)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__supI,axiom,
% 190.69/191.30 ! [V_b,V_x,V_a,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 190.69/191.30 => 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)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_sup__absorb1,axiom,
% 190.69/191.30 ! [V_x,V_y,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.30 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_sup__absorb2,axiom,
% 190.69/191.30 ! [V_y,V_x,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.30 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__supI2,axiom,
% 190.69/191.30 ! [V_a,V_b,V_x,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 190.69/191.30 => 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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__supI1,axiom,
% 190.69/191.30 ! [V_b,V_a,V_x,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.69/191.30 => 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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__sup__iff,axiom,
% 190.69/191.30 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_b)
% 190.69/191.30 => ( 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))
% 190.69/191.30 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_le__iff__sup,axiom,
% 190.69/191.30 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_b)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.30 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_sup__ge2,axiom,
% 190.69/191.30 ! [V_x,V_y,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inf__sup__ord_I4_J,axiom,
% 190.69/191.30 ! [V_x,V_y,T_a] :
% 190.69/191.30 ( class_Lattices_Olattice(T_a)
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_sup__ge1,axiom,
% 190.69/191.30 ! [V_y,V_x,T_a] :
% 190.69/191.30 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inf__sup__ord_I3_J,axiom,
% 190.69/191.30 ! [V_y,V_x,T_a] :
% 190.69/191.30 ( class_Lattices_Olattice(T_a)
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_insert__mono,axiom,
% 190.69/191.30 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__insertI2,axiom,
% 190.69/191.30 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__insertI,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_image__mono,axiom,
% 190.69/191.30 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__image__iff,axiom,
% 190.69/191.30 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 190.69/191.30 ( 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)))
% 190.69/191.30 <=> ? [B_AA] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 190.69/191.30 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat_Osize_I3_J,axiom,
% 190.69/191.30 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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Un__mono,axiom,
% 190.69/191.30 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 190.69/191.30 => 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))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Un__least,axiom,
% 190.69/191.30 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.30 => 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)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Un__absorb2,axiom,
% 190.69/191.30 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.30 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Un__absorb1,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__Un__eq,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.30 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Un__upper2,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Un__upper1,axiom,
% 190.69/191.30 ! [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))) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__add__nat,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_nat_Osize_I1_J,axiom,
% 190.69/191.30 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I40_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I41_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_pred__subset__eq,axiom,
% 190.69/191.30 ! [V_S_2,V_R_2,T_b] :
% 190.69/191.30 ( 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)))
% 190.69/191.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I38_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I39_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_the__inv__into__into,axiom,
% 190.69/191.30 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.30 => 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)) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I36_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I37_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I34_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I35_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I11_J,axiom,
% 190.69/191.30 ! [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 ).
% 190.69/191.30
% 190.69/191.30 fof(fact_com_Osimps_I10_J,axiom,
% 190.69/191.30 ! [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) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_Least__le,axiom,
% 190.69/191.30 ! [V_k_2,V_Pa_2,T_b] :
% 190.69/191.30 ( class_Orderings_Owellorder(T_b)
% 190.69/191.30 => ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 190.69/191.30 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_Pa_2)),V_k_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_image__Pow__mono,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( 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))
% 190.69/191.30 => 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))) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( 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))
% 190.69/191.30 => ( 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)
% 190.69/191.30 <=> V_A_2 = V_B_2 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__imageI,axiom,
% 190.69/191.30 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 190.69/191.30 ( 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)
% 190.69/191.30 => 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)) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comp__inj__on,axiom,
% 190.69/191.30 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( 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))
% 190.69/191.30 => 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) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_comp__inj__on__iff,axiom,
% 190.69/191.30 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( 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))
% 190.69/191.30 <=> 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) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 190.69/191.30 ! [V_a_2,T_b] :
% 190.69/191.30 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.69/191.30 => ( 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)))
% 190.69/191.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 190.69/191.30 ! [V_a_2,T_b] :
% 190.69/191.30 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.69/191.30 => ( 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)))
% 190.69/191.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__nonneg__nonneg,axiom,
% 190.69/191.30 ! [V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.30 => 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))) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__nonneg__eq__0__iff,axiom,
% 190.69/191.30 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.30 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 190.69/191.30 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.30 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.30 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__increasing,axiom,
% 190.69/191.30 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 190.69/191.30 => 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))) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__increasing2,axiom,
% 190.69/191.30 ! [V_a,V_b,V_c,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.69/191.30 => 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))) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_add__nonpos__nonpos,axiom,
% 190.69/191.30 ! [V_b,V_a,T_a] :
% 190.69/191.30 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.30 => 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))) ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_insert__subset,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.69/191.30 ( 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))
% 190.69/191.30 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.69/191.30 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__insert,axiom,
% 190.69/191.30 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 190.69/191.30 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => ( 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)))
% 190.69/191.30 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_the__inv__into__f__eq,axiom,
% 190.69/191.30 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_the__inv__into__f__f,axiom,
% 190.69/191.30 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.30 => 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 ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_subset__singletonD,axiom,
% 190.69/191.30 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.30 ( 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)))))
% 190.69/191.30 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.30 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_the__inv__into__onto,axiom,
% 190.69/191.30 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.30 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.30 => 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 ) ).
% 190.69/191.30
% 190.69/191.30 fof(fact_inj__on__the__inv__into,axiom,
% 190.69/191.31 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_PowD,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Pow__iff,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 190.69/191.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Ints__0,axiom,
% 190.69/191.31 ! [T_b] :
% 190.69/191.31 ( class_Rings_Oring__1(T_b)
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Ints__add,axiom,
% 190.69/191.31 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.31 ( class_Rings_Oring__1(T_b)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.31 => 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))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_f__the__inv__into__f,axiom,
% 190.69/191.31 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.69/191.31 => 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 ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__imageI,axiom,
% 190.69/191.31 ! [V_h_2,T_c,V_F_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite_OinsertI,axiom,
% 190.69/191.31 ! [V_a_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite_OemptyI,axiom,
% 190.69/191.31 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__surj__inj,axiom,
% 190.69/191.31 ! [V_f_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( 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)))
% 190.69/191.31 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_endo__inj__surj,axiom,
% 190.69/191.31 ! [V_f_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( 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))
% 190.69/191.31 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 190.69/191.31 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inj__on__iff__surj,axiom,
% 190.69/191.31 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 190.69/191.31 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => ( ? [B_f] :
% 190.69/191.31 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 190.69/191.31 & 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)) )
% 190.69/191.31 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__imageD,axiom,
% 190.69/191.31 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 190.69/191.31 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__surj,axiom,
% 190.69/191.31 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( 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)))
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__Pow__iff,axiom,
% 190.69/191.31 ! [V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 190.69/191.31 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__UnI,axiom,
% 190.69/191.31 ! [V_Ga_2,V_F_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 190.69/191.31 => 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))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le0,axiom,
% 190.69/191.31 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__0__eq,axiom,
% 190.69/191.31 ! [V_n_2] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 190.69/191.31 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 190.69/191.31 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Suc__n__not__le__n,axiom,
% 190.69/191.31 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_not__less__eq__eq,axiom,
% 190.69/191.31 ! [V_n_2,V_m_2] :
% 190.69/191.31 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__Suc__eq,axiom,
% 190.69/191.31 ! [V_n_2,V_m_2] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 190.69/191.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.31 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Suc__le__mono,axiom,
% 190.69/191.31 ! [V_m_2,V_n_2] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__SucI,axiom,
% 190.69/191.31 ! [V_n,V_m] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__SucE,axiom,
% 190.69/191.31 ! [V_n,V_m] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.31 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Suc__leD,axiom,
% 190.69/191.31 ! [V_n,V_m] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__add2,axiom,
% 190.69/191.31 ! [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))) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__add1,axiom,
% 190.69/191.31 ! [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))) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__iff__add,axiom,
% 190.69/191.31 ! [V_n_2,V_m_2] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.31 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_nat__add__left__cancel__le,axiom,
% 190.69/191.31 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_trans__le__add1,axiom,
% 190.69/191.31 ! [V_m,V_j,V_i] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_trans__le__add2,axiom,
% 190.69/191.31 ! [V_m,V_j,V_i] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_add__le__mono1,axiom,
% 190.69/191.31 ! [V_k,V_j,V_i] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_add__le__mono,axiom,
% 190.69/191.31 ! [V_l,V_k,V_j,V_i] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 190.69/191.31 => 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))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_add__leD2,axiom,
% 190.69/191.31 ! [V_n,V_k,V_m] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_add__leD1,axiom,
% 190.69/191.31 ! [V_n,V_k,V_m] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_add__leE,axiom,
% 190.69/191.31 ! [V_n,V_k,V_m] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_termination__basic__simps_I4_J,axiom,
% 190.69/191.31 ! [V_y,V_z,V_x] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_termination__basic__simps_I3_J,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_evaln__nonstrict,axiom,
% 190.69/191.31 ! [V_m,V_t,V_n,V_s,V_c] :
% 190.69/191.31 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.69/191.31 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_thin,axiom,
% 190.69/191.31 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 190.69/191.31 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 190.69/191.31 => ( 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))
% 190.69/191.31 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_weaken,axiom,
% 190.69/191.31 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 190.69/191.31 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 190.69/191.31 => ( 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))
% 190.69/191.31 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_asm,axiom,
% 190.69/191.31 ! [V_Ga_2,V_ts_2,T_b] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__code,axiom,
% 190.69/191.31 ! [V_A_2,T_b] :
% 190.69/191.31 ( class_Finite__Set_Ofinite(T_b)
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite,axiom,
% 190.69/191.31 ! [V_A_2,T_b] :
% 190.69/191.31 ( class_Finite__Set_Ofinite(T_b)
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite_Oequations_I1_J,axiom,
% 190.69/191.31 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__insert,axiom,
% 190.69/191.31 ! [V_A_2,V_a_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 190.69/191.31 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__subset,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_rev__finite__subset,axiom,
% 190.69/191.31 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.31 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__Un,axiom,
% 190.69/191.31 ! [V_Ga_2,V_F_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.69/191.31 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image_Oreindex,axiom,
% 190.69/191.31 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 190.69/191.31 => 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) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one_Oinsert,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => 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)) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__idem_Ounion__idem,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.31 => 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) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__idem_Oinsert__idem,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => 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)) ) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Least__mono,axiom,
% 190.69/191.31 ! [V_S_2,V_f_2,T_b,T_c] :
% 190.69/191.31 ( ( class_Orderings_Oorder(T_c)
% 190.69/191.31 & class_Orderings_Oorder(T_b) )
% 190.69/191.31 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 190.69/191.31 => ( ? [B_x] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.69/191.31 & ! [B_xa] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) )
% 190.69/191.31 => c_Orderings_Oord__class_OLeast(T_c,hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2))) = hAPP(V_f_2,c_Orderings_Oord__class_OLeast(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__subset__induct,axiom,
% 190.69/191.31 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 190.69/191.31 => ( ! [B_a,B_F] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 190.69/191.31 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 190.69/191.31 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 190.69/191.31 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.31 => 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) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__antisym,axiom,
% 190.69/191.31 ! [V_n,V_m] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.69/191.31 => V_m = V_n ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__trans,axiom,
% 190.69/191.31 ! [V_k,V_j,V_i] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_eq__imp__le,axiom,
% 190.69/191.31 ! [V_n,V_m] :
% 190.69/191.31 ( V_m = V_n
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_nat__le__linear,axiom,
% 190.69/191.31 ! [V_n,V_m] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__refl,axiom,
% 190.69/191.31 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one__idem_Oidem,axiom,
% 190.69/191.31 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.69/191.31 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_monoD,axiom,
% 190.69/191.31 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 190.69/191.31 ( ( class_Orderings_Oorder(T_c)
% 190.69/191.31 & class_Orderings_Oorder(T_b) )
% 190.69/191.31 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_mono__Suc,axiom,
% 190.69/191.31 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_mono__Un,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_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)))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__idem_Oidem__comp,axiom,
% 190.69/191.31 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 190.69/191.31 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_mono__iff__le__Suc,axiom,
% 190.69/191.31 ! [V_f_2,T_b] :
% 190.69/191.31 ( class_Orderings_Oorder(T_b)
% 190.69/191.31 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2)
% 190.69/191.31 <=> ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n)))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_mono__sup,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 190.69/191.31 ( ( class_Lattices_Osemilattice__sup(T_c)
% 190.69/191.31 & class_Lattices_Osemilattice__sup(T_b) )
% 190.69/191.31 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_A_2),V_B_2)))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image_Odistrib,axiom,
% 190.69/191.31 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one_Osingleton,axiom,
% 190.69/191.31 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one__idem_Oin__idem,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one_Oclosed,axiom,
% 190.69/191.31 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => ( ! [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))))))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Oinsert,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 190.69/191.31 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( ! [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))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.69/191.31 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.31 => 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)) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple_Oinsert,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 190.69/191.31 ! [V_n_2,V_m_2] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 190.69/191.31 <=> 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one_Oremove,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.31 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 190.69/191.31 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.31 => 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)))))) ) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.31 => 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) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_bool_Osize_I1_J,axiom,
% 190.69/191.31 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_DiffI,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.69/191.31 => 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))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_DiffE,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__Diff,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__diff__def,axiom,
% 190.69/191.31 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.69/191.31 ( class_Groups_Ominus(T_b)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__idemp,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_minus__apply,axiom,
% 190.69/191.31 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 190.69/191.31 ( class_Groups_Ominus(T_b)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__eq__diff__eq,axiom,
% 190.69/191.31 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.31 ( class_Groups_Oab__group__add(T_b)
% 190.69/191.31 => ( 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)
% 190.69/191.31 => ( V_a_2 = V_b_2
% 190.69/191.31 <=> V_c_2 = V_d_2 ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 190.69/191.31 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__eq__diff__less__eq,axiom,
% 190.69/191.31 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.31 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.69/191.31 => ( 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)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 190.69/191.31 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_right__minus__eq,axiom,
% 190.69/191.31 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.31 ( class_Groups_Ogroup__add(T_b)
% 190.69/191.31 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.31 <=> V_a_2 = V_b_2 ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_eq__iff__diff__eq__0,axiom,
% 190.69/191.31 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.31 ( class_Groups_Oab__group__add(T_b)
% 190.69/191.31 => ( V_a_2 = V_b_2
% 190.69/191.31 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__self,axiom,
% 190.69/191.31 ! [V_a,T_a] :
% 190.69/191.31 ( class_Groups_Ogroup__add(T_a)
% 190.69/191.31 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__0__right,axiom,
% 190.69/191.31 ! [V_a,T_a] :
% 190.69/191.31 ( class_Groups_Ogroup__add(T_a)
% 190.69/191.31 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_add__diff__cancel,axiom,
% 190.69/191.31 ! [V_b,V_a,T_a] :
% 190.69/191.31 ( class_Groups_Ogroup__add(T_a)
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__add__cancel,axiom,
% 190.69/191.31 ! [V_b,V_a,T_a] :
% 190.69/191.31 ( class_Groups_Ogroup__add(T_a)
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__iff,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.31 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_DiffD1,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_DiffD2,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_empty__Diff,axiom,
% 190.69/191.31 ! [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)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__empty,axiom,
% 190.69/191.31 ! [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 ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__cancel,axiom,
% 190.69/191.31 ! [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)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__Diff2,axiom,
% 190.69/191.31 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => ( 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)))
% 190.69/191.31 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__subset,axiom,
% 190.69/191.31 ! [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)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__mono,axiom,
% 190.69/191.31 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 190.69/191.31 => 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))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_double__diff,axiom,
% 190.69/191.31 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.31 => 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 ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Un__Diff__cancel,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Un__Diff__cancel2,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Un__Diff,axiom,
% 190.69/191.31 ! [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)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inj__on__diff,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ocommute__left__comp,axiom,
% 190.69/191.31 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ocommute__comp,axiom,
% 190.69/191.31 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 190.69/191.31 ! [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] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => 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)))))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__iff__diff__le__0,axiom,
% 190.69/191.31 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.31 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 190.69/191.31 <=> 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))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_insert__Diff1,axiom,
% 190.69/191.31 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_insert__Diff__if,axiom,
% 190.69/191.31 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 190.69/191.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.69/191.31 => 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) )
% 190.69/191.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__insert,axiom,
% 190.69/191.31 ! [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)))) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__insert2,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_insert__Diff__single,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__Diff__insert,axiom,
% 190.69/191.31 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 190.69/191.31 ( 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))))
% 190.69/191.31 <=> 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_image__diff__subset,axiom,
% 190.69/191.31 ! [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)))) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__partition,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__subset__conv,axiom,
% 190.69/191.31 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( 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))
% 190.69/191.31 <=> 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Ints__diff,axiom,
% 190.69/191.31 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.31 ( class_Rings_Oring__1(T_b)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.31 => 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))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple_Oempty,axiom,
% 190.69/191.31 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Oinsert__remove,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple_Oremove,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.69/191.31 => 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)))))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_nat__case__0,axiom,
% 190.69/191.31 ! [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 ).
% 190.69/191.31
% 190.69/191.31 fof(fact_nat__case__Suc,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Oremove,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Diff__insert__absorb,axiom,
% 190.69/191.31 ! [V_A_2,V_x_2,T_b] :
% 190.69/191.31 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_insert__Diff,axiom,
% 190.69/191.31 ! [V_A_2,V_a_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inj__on__image__set__diff,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 190.69/191.31 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => 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)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 190.69/191.31 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ocommute__comp_H,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_subset__insert__iff,axiom,
% 190.69/191.31 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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)) )
% 190.69/191.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__single__insert,axiom,
% 190.69/191.31 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__one_Oinsert__remove,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.31 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 190.69/191.31 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.31 => 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)))))) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 190.69/191.31 => 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) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inj__on__insert,axiom,
% 190.69/191.31 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 190.69/191.31 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.31 & ~ 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))))))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_bool_Osize_I2_J,axiom,
% 190.69/191.31 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_coinduct3__mono__lemma,axiom,
% 190.69/191.31 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( class_Orderings_Oorder(T_b)
% 190.69/191.31 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 190.69/191.31 => c_Orderings_Oorder__class_Omono(T_b,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(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))),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_f_2)),V_X_2))),V_B_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_flat__lub__def,axiom,
% 190.69/191.31 ! [V_b_2,V_A_2,T_b] :
% 190.69/191.31 ( ( 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)))))
% 190.69/191.31 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 190.69/191.31 & ( ~ 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)))))
% 190.69/191.31 => 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)))))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__image,axiom,
% 190.69/191.31 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.69/191.31 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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)))))) )
% 190.69/191.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__empty__induct,axiom,
% 190.69/191.31 ! [V_Pa_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 190.69/191.31 => ( ! [B_a,B_A] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 190.69/191.31 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 190.69/191.31 => 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)))))) ) ) )
% 190.69/191.31 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_card__Suc__Diff1,axiom,
% 190.69/191.31 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__left__comm__idem__remove,axiom,
% 190.69/191.31 ! [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))))) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_folding_Ounion,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.31 => ( 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))
% 190.69/191.31 => 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)) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inj__on__Un,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( 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))
% 190.69/191.31 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.31 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.69/191.31 & 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_psubset__insert__iff,axiom,
% 190.69/191.31 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 190.69/191.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 190.69/191.31 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => 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)) )
% 190.69/191.31 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__induct,axiom,
% 190.69/191.31 ! [V_Pa_2,V_F_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.69/191.31 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 190.69/191.31 => ( ! [B_x,B_F] :
% 190.69/191.31 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 190.69/191.31 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 190.69/191.31 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 190.69/191.31 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf1E,axiom,
% 190.69/191.31 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 190.69/191.31 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf1I,axiom,
% 190.69/191.31 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 190.69/191.31 ( hBOOL(hAPP(V_A_2,V_x_2))
% 190.69/191.31 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__triv,axiom,
% 190.69/191.31 ! [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 ).
% 190.69/191.31
% 190.69/191.31 fof(fact_IntE,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_IntI,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 190.69/191.31 => 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))) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_finite__Int,axiom,
% 190.69/191.31 ! [V_Ga_2,V_F_2,T_b] :
% 190.69/191.31 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.69/191.31 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 190.69/191.31 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__left__comm__idem__inf,axiom,
% 190.69/191.31 ! [T_b] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_b)
% 190.69/191.31 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__idem,axiom,
% 190.69/191.31 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 190.69/191.31 ( hAPP(V_f_2,V_x_2) = V_y_2
% 190.69/191.31 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__other,axiom,
% 190.69/191.31 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 190.69/191.31 ( V_z_2 != V_x_2
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__twist,axiom,
% 190.69/191.31 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 190.69/191.31 ( V_a_2 != V_c_2
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__apply,axiom,
% 190.69/191.31 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 190.69/191.31 ( ( V_z_2 = V_x_2
% 190.69/191.31 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 190.69/191.31 & ( V_z_2 != V_x_2
% 190.69/191.31 => 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) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__same,axiom,
% 190.69/191.31 ! [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 ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__upd,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__idem__iff,axiom,
% 190.69/191.31 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 190.69/191.31 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf1D2,axiom,
% 190.69/191.31 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf1D1,axiom,
% 190.69/191.31 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( 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))
% 190.69/191.31 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_psubset__trans,axiom,
% 190.69/191.31 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_less__infI2,axiom,
% 190.69/191.31 ! [V_a,V_x,V_b,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_less__infI1,axiom,
% 190.69/191.31 ! [V_b,V_x,V_a,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__apply,axiom,
% 190.69/191.31 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( class_Lattices_Olattice(T_b)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__assoc,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__aci_I2_J,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf_Oassoc,axiom,
% 190.69/191.31 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Int__assoc,axiom,
% 190.69/191.31 ! [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)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__left__commute,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__aci_I3_J,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf_Oleft__commute,axiom,
% 190.69/191.31 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Int__left__commute,axiom,
% 190.69/191.31 ! [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)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__left__idem,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__aci_I4_J,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf_Oleft__idem,axiom,
% 190.69/191.31 ! [V_b,V_a,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Int__left__absorb,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__commute,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__aci_I1_J,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf_Ocommute,axiom,
% 190.69/191.31 ! [V_b,V_a,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Int__commute,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__fun__def,axiom,
% 190.69/191.31 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 190.69/191.31 ( class_Lattices_Olattice(T_b)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__idem,axiom,
% 190.69/191.31 ! [V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf_Oidem,axiom,
% 190.69/191.31 ! [V_a,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Int__absorb,axiom,
% 190.69/191.31 ! [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 ).
% 190.69/191.31
% 190.69/191.31 fof(fact_linorder__cases,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Olinorder(T_a)
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => ( V_x != V_y
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__asym,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_xt1_I10_J,axiom,
% 190.69/191.31 ! [V_z,V_x,V_y,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__trans,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_xt1_I2_J,axiom,
% 190.69/191.31 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.69/191.31 => ( V_b = V_c
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_ord__less__eq__trans,axiom,
% 190.69/191.31 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.31 ( class_Orderings_Oord(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.31 => ( V_b = V_c
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_xt1_I1_J,axiom,
% 190.69/191.31 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( V_a = V_b
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_ord__eq__less__trans,axiom,
% 190.69/191.31 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.31 ( class_Orderings_Oord(T_a)
% 190.69/191.31 => ( V_a = V_b
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_xt1_I9_J,axiom,
% 190.69/191.31 ! [V_a,V_b,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__asym_H,axiom,
% 190.69/191.31 ! [V_b,V_a,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__imp__not__eq2,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => V_y != V_x ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__imp__not__eq,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => V_x != V_y ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__imp__not__less,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__not__sym,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_less__imp__neq,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => V_x != V_y ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_linorder__neqE,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Olinorder(T_a)
% 190.69/191.31 => ( V_x != V_y
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_linorder__antisym__conv3,axiom,
% 190.69/191.31 ! [V_x_2,V_y_2,T_b] :
% 190.69/191.31 ( class_Orderings_Olinorder(T_b)
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.31 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_linorder__less__linear,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Olinorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 | V_x = V_y
% 190.69/191.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_not__less__iff__gr__or__eq,axiom,
% 190.69/191.31 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.31 ( class_Orderings_Olinorder(T_b)
% 190.69/191.31 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 190.69/191.31 | V_x_2 = V_y_2 ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_linorder__neq__iff,axiom,
% 190.69/191.31 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.31 ( class_Orderings_Olinorder(T_b)
% 190.69/191.31 => ( V_x_2 != V_y_2
% 190.69/191.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.31 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__irrefl,axiom,
% 190.69/191.31 ! [V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Pow__Int__eq,axiom,
% 190.69/191.31 ! [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)) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_card__Diff__subset__Int,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 => 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))) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__upd__def,axiom,
% 190.69/191.31 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 190.69/191.31 ( ( V_x_2 = V_a_2
% 190.69/191.31 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 190.69/191.31 & ( V_x_2 != V_a_2
% 190.69/191.31 => 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) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 190.69/191.31 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 190.69/191.31 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__infE,axiom,
% 190.69/191.31 ! [V_b,V_a,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( 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)))
% 190.69/191.31 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.69/191.31 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__mono,axiom,
% 190.69/191.31 ! [V_d,V_b,V_c,V_a,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 190.69/191.31 => 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))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__greatest,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 190.69/191.31 => 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))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__infI,axiom,
% 190.69/191.31 ! [V_b,V_a,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 190.69/191.31 => 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))) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__absorb2,axiom,
% 190.69/191.31 ! [V_x,V_y,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__absorb1,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.31 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__infI2,axiom,
% 190.69/191.31 ! [V_a,V_x,V_b,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__infI1,axiom,
% 190.69/191.31 ! [V_b,V_x,V_a,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 190.69/191.31 => 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)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__inf__iff,axiom,
% 190.69/191.31 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_b)
% 190.69/191.31 => ( 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)))
% 190.69/191.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.31 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_le__iff__inf,axiom,
% 190.69/191.31 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_b)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.31 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__le2,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__ord_I2_J,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__le1,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Osemilattice__inf(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__ord_I1_J,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__bot__right,axiom,
% 190.69/191.31 ! [V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__bot__left,axiom,
% 190.69/191.31 ! [V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Obounded__lattice__bot(T_a)
% 190.69/191.31 => 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) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_sup__inf__distrib2,axiom,
% 190.69/191.31 ! [V_x,V_z,V_y,T_a] :
% 190.69/191.31 ( class_Lattices_Odistrib__lattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__distrib2,axiom,
% 190.69/191.31 ! [V_x,V_z,V_y,T_a] :
% 190.69/191.31 ( class_Lattices_Odistrib__lattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_sup__inf__distrib1,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Odistrib__lattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__distrib1,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Odistrib__lattice(T_a)
% 190.69/191.31 => 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)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_sup__inf__absorb,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_inf__sup__absorb,axiom,
% 190.69/191.31 ! [V_y,V_x,T_a] :
% 190.69/191.31 ( class_Lattices_Olattice(T_a)
% 190.69/191.31 => 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 ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_IntD2,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_IntD1,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_Int__iff,axiom,
% 190.69/191.31 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 190.69/191.31 ( 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)))
% 190.69/191.31 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.31 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_less__fun__def,axiom,
% 190.69/191.31 ! [V_g_2,V_f_2,T_b,T_c] :
% 190.69/191.31 ( class_Orderings_Oord(T_c)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.69/191.31 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 190.69/191.31 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__0__eq__0,axiom,
% 190.69/191.31 ! [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) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_minus__nat_Odiff__0,axiom,
% 190.69/191.31 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diff__self__eq__0,axiom,
% 190.69/191.31 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_diffs0__imp__equal,axiom,
% 190.69/191.31 ! [V_n,V_m] :
% 190.69/191.31 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.31 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.31 => V_m = V_n ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_xt1_I8_J,axiom,
% 190.69/191.31 ! [V_z,V_x,V_y,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__le__less__trans,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_xt1_I7_J,axiom,
% 190.69/191.31 ! [V_z,V_x,V_y,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_order__less__le__trans,axiom,
% 190.69/191.31 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.31 ( class_Orderings_Opreorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 190.69/191.31 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 190.69/191.31
% 190.69/191.31 fof(fact_xt1_I11_J,axiom,
% 190.69/191.31 ! [V_a,V_b,T_a] :
% 190.69/191.31 ( class_Orderings_Oorder(T_a)
% 190.69/191.31 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.69/191.32 => ( V_a != V_b
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_order__le__neq__trans,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Orderings_Oorder(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.32 => ( V_a != V_b
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_order__le__imp__less__or__eq,axiom,
% 190.69/191.32 ! [V_y,V_x,T_a] :
% 190.69/191.32 ( class_Orderings_Oorder(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.32 | V_x = V_y ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_linorder__antisym__conv2,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.32 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_order__less__imp__le,axiom,
% 190.69/191.32 ! [V_y,V_x,T_a] :
% 190.69/191.32 ( class_Orderings_Opreorder(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_leD,axiom,
% 190.69/191.32 ! [V_x,V_y,T_a] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.32 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_xt1_I12_J,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Orderings_Oorder(T_a)
% 190.69/191.32 => ( V_a != V_b
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_order__neq__le__trans,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Orderings_Oorder(T_a)
% 190.69/191.32 => ( V_a != V_b
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_linorder__antisym__conv1,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_b)
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.32 <=> V_x_2 = V_y_2 ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__leE,axiom,
% 190.69/191.32 ! [V_x,V_y,T_a] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_a)
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_leI,axiom,
% 190.69/191.32 ! [V_y,V_x,T_a] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_a)
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_order__le__less,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.32 ( class_Orderings_Oorder(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.32 | V_x_2 = V_y_2 ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__le__not__le,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.32 ( class_Orderings_Opreorder(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.32 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_order__less__le,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.32 ( class_Orderings_Oorder(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.32 & V_x_2 != V_y_2 ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_linorder__le__less__linear,axiom,
% 190.69/191.32 ! [V_y,V_x,T_a] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_linorder__not__le,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_b)
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_linorder__not__less,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.32 ( class_Orderings_Olinorder(T_b)
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_psubsetD,axiom,
% 190.69/191.32 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__diff__diff,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__Suc__Suc,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_disjoint__iff__not__equal,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( 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))
% 190.69/191.32 <=> ! [B_x] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.32 => ! [B_xa] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 190.69/191.32 => B_x != B_xa ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__empty__right,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__empty__left,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__cancel2,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__cancel,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__diff__left,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__add__inverse,axiom,
% 190.69/191.32 ! [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 ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__add__inverse2,axiom,
% 190.69/191.32 ! [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 ).
% 190.69/191.32
% 190.69/191.32 fof(fact_insert__inter__insert,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__less__cancel__right,axiom,
% 190.69/191.32 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 190.69/191.32 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__less__cancel__left,axiom,
% 190.69/191.32 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.32 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__strict__right__mono,axiom,
% 190.69/191.32 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__strict__left__mono,axiom,
% 190.69/191.32 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__strict__mono,axiom,
% 190.69/191.32 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__less__imp__less__right,axiom,
% 190.69/191.32 ! [V_b,V_c,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.69/191.32 => ( 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)))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__less__imp__less__left,axiom,
% 190.69/191.32 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 190.69/191.32 => ( 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)))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__diff__iff,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Nat_Odiff__diff__eq,axiom,
% 190.69/191.32 ! [V_n,V_m,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 190.69/191.32 => 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) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_eq__diff__iff,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 190.69/191.32 => ( 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)
% 190.69/191.32 <=> V_m_2 = V_n_2 ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__diff__cancel,axiom,
% 190.69/191.32 ! [V_n,V_i] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 190.69/191.32 => 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 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__le__mono,axiom,
% 190.69/191.32 ! [V_l,V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__le__mono2,axiom,
% 190.69/191.32 ! [V_l,V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__le__self,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__mono,axiom,
% 190.69/191.32 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__greatest,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__absorb1,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__absorb2,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__lower2,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__lower1,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__psubset__empty,axiom,
% 190.69/191.32 ! [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)))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__eq__diff__less,axiom,
% 190.69/191.32 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.32 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.69/191.32 => ( 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)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Un__Int__crazy,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Un__Int__distrib2,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__Un__distrib2,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Un__Int__distrib,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__Un__distrib,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__supI2,axiom,
% 190.69/191.32 ! [V_a,V_b,V_x,T_a] :
% 190.69/191.32 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__supI1,axiom,
% 190.69/191.32 ! [V_b,V_a,V_x,T_a] :
% 190.69/191.32 ( class_Lattices_Osemilattice__sup(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_subset__psubset__trans,axiom,
% 190.69/191.32 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_psubset__subset__trans,axiom,
% 190.69/191.32 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_psubset__imp__subset,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_subset__iff__psubset__eq,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 | V_A_2 = V_B_2 ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_psubset__eq,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 & V_A_2 != V_B_2 ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Diff__Int2,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Diff__Int__distrib2,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__Diff,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Diff__Int__distrib,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_inj__on__Int,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.32 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Diff__subset,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card_Ounion__inter,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Un__Int,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__card__le__card__Diff,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => 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)))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__Suc,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_inf__Int__eq,axiom,
% 190.69/191.32 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 190.69/191.32 ( 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))
% 190.69/191.32 <=> 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_fun__upd__comp,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__less__Least,axiom,
% 190.69/191.32 ! [V_Pa_2,V_k_2,T_b] :
% 190.69/191.32 ( class_Orderings_Owellorder(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_Pa_2)))
% 190.69/191.32 => ~ hBOOL(hAPP(V_Pa_2,V_k_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Un__disjoint,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( 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))
% 190.69/191.32 => 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)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_fun__left__comm__idem__insert,axiom,
% 190.69/191.32 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_distrib__sup__le,axiom,
% 190.69/191.32 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.32 ( class_Lattices_Olattice(T_a)
% 190.69/191.32 => 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)))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_distrib__inf__le,axiom,
% 190.69/191.32 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.32 ( class_Lattices_Olattice(T_a)
% 190.69/191.32 => 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)))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card_Oempty,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__infinite,axiom,
% 190.69/191.32 ! [V_A_2,T_b] :
% 190.69/191.32 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_fun__left__comm__idem__sup,axiom,
% 190.69/191.32 ! [T_b] :
% 190.69/191.32 ( class_Lattices_Osemilattice__sup(T_b)
% 190.69/191.32 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__image,axiom,
% 190.69/191.32 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 190.69/191.32 ! [V_x_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__insert__right,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 190.69/191.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.32 => 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)) )
% 190.69/191.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.32 => 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) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__insert__left,axiom,
% 190.69/191.32 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 190.69/191.32 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.69/191.32 => 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)) )
% 190.69/191.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.69/191.32 => 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) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__insert__right__if0,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 190.69/191.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__insert__left__if0,axiom,
% 190.69/191.32 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 190.69/191.32 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__insert__right__if1,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Int__insert__left__if1,axiom,
% 190.69/191.32 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__le__less__mono,axiom,
% 190.69/191.32 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__less__le__mono,axiom,
% 190.69/191.32 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 190.69/191.32 ! [V_a_2,T_b] :
% 190.69/191.32 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_even__less__0__iff,axiom,
% 190.69/191.32 ! [V_a_2,T_b] :
% 190.69/191.32 ( class_Rings_Olinordered__idom(T_b)
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 190.69/191.32 ! [V_a_2,T_b] :
% 190.69/191.32 ( class_Groups_Olinordered__ab__group__add(T_b)
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__pos__pos,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__neg__neg,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__add__0,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__iff__diff__less__0,axiom,
% 190.69/191.32 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.32 ( class_Groups_Oordered__ab__group__add(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 190.69/191.32 <=> 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__is__0__eq,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__is__0__eq_H,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_mono__inf,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 190.69/191.32 ( ( class_Lattices_Osemilattice__inf(T_c)
% 190.69/191.32 & class_Lattices_Osemilattice__inf(T_b) )
% 190.69/191.32 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__diff__le,axiom,
% 190.69/191.32 ! [V_m,V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__add__assoc2,axiom,
% 190.69/191.32 ! [V_i,V_j,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__diff__assoc2,axiom,
% 190.69/191.32 ! [V_i,V_j,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__add__assoc,axiom,
% 190.69/191.32 ! [V_i,V_j,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__imp__diff__is__add,axiom,
% 190.69/191.32 ! [V_k_2,V_j_2,V_i_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.69/191.32 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 190.69/191.32 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__add__diff__inverse2,axiom,
% 190.69/191.32 ! [V_m,V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.69/191.32 => 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 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__diff__conv2,axiom,
% 190.69/191.32 ! [V_i_2,V_j_2,V_k_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__diff__assoc,axiom,
% 190.69/191.32 ! [V_i,V_j,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__add__diff__inverse,axiom,
% 190.69/191.32 ! [V_m,V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.69/191.32 => 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 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__add__diff,axiom,
% 190.69/191.32 ! [V_m,V_n,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__diff__conv,axiom,
% 190.69/191.32 ! [V_i_2,V_k_2,V_j_2] :
% 190.69/191.32 ( 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))
% 190.69/191.32 <=> 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__diff__right,axiom,
% 190.69/191.32 ! [V_i,V_j,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.69/191.32 => 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) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_image__Int__subset,axiom,
% 190.69/191.32 ! [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)))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Diff__disjoint,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Diff__triv,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( 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))
% 190.69/191.32 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Un__Int__assoc__eq,axiom,
% 190.69/191.32 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( 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))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Un__Diff__Int,axiom,
% 190.69/191.32 ! [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 ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Diff__Un,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Diff__Int,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_inj__on__strict__subset,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_mono__Int,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),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(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__eq__0__iff,axiom,
% 190.69/191.32 ! [V_A_2,T_b] :
% 190.69/191.32 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.32 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__insert__le,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => 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)))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__mono,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__seteq,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => ( 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)))
% 190.69/191.32 => V_A_2 = V_B_2 ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__image__le,axiom,
% 190.69/191.32 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_inj__on__iff__eq__card,axiom,
% 190.69/191.32 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.32 <=> 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) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_eq__card__imp__inj__on,axiom,
% 190.69/191.32 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( 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)
% 190.69/191.32 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__pos__nonneg,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__nonneg__pos,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__strict__increasing,axiom,
% 190.69/191.32 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__strict__increasing2,axiom,
% 190.69/191.32 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__neg__nonpos,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__nonpos__neg,axiom,
% 190.69/191.32 ! [V_b,V_a,T_a] :
% 190.69/191.32 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__Suc__diff__eq2,axiom,
% 190.69/191.32 ! [V_m,V_j,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__Suc__diff__eq1,axiom,
% 190.69/191.32 ! [V_m,V_j,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_inj__on__image__Int,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 190.69/191.32 => 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)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.32 => 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)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__insert__disjoint,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__insert__if,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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) )
% 190.69/191.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__bij__eq,axiom,
% 190.69/191.32 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.32 => ( 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))
% 190.69/191.32 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 190.69/191.32 => ( 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))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.32 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_inj__on__fun__updI,axiom,
% 190.69/191.32 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 190.69/191.32 => 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) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_folding_Ounion__inter,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => 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)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_folding__one_Ounion__disjoint,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.32 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.32 => ( 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))
% 190.69/191.32 => 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)) ) ) ) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_folding__one_Ounion__inter,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 190.69/191.32 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( 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))
% 190.69/191.32 => 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)) ) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.32 => ( 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))
% 190.69/191.32 => 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)) ) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__insert,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => 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)))))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Diff1__le,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__inj__on__le,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.32 => ( 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))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_inj__on__iff__card__le,axiom,
% 190.69/191.32 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.32 => ( ? [B_f] :
% 190.69/191.32 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 190.69/191.32 & 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)) )
% 190.69/191.32 <=> 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_pos__add__strict,axiom,
% 190.69/191.32 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Suc__eq,axiom,
% 190.69/191.32 ! [V_k_2,V_A_2,T_b] :
% 190.69/191.32 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 190.69/191.32 <=> ? [B_b,B_B] :
% 190.69/191.32 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 190.69/191.32 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 190.69/191.32 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 190.69/191.32 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card_Oremove,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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)))))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Plus__conv__if,axiom,
% 190.69/191.32 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.69/191.32 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 190.69/191.32 => 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)) )
% 190.69/191.32 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 190.69/191.32 => 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) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card_Oinsert__remove,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => 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)))))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Diff__singleton,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Diff__singleton__if,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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)) )
% 190.69/191.32 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Diff2__less,axiom,
% 190.69/191.32 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 190.69/191.32 => 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))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__zeroE,axiom,
% 190.69/191.32 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_lessI,axiom,
% 190.69/191.32 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__mono,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_zero__less__Suc,axiom,
% 190.69/191.32 ! [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))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__commute,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__imp__diff__less,axiom,
% 190.69/191.32 ! [V_n,V_k,V_j] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__less__mono2,axiom,
% 190.69/191.32 ! [V_l,V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_finite__nat__set__iff__bounded,axiom,
% 190.69/191.32 ! [V_N_2] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 190.69/191.32 <=> ? [B_m] :
% 190.69/191.32 ! [B_x] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_nat__less__cases,axiom,
% 190.69/191.32 ! [V_Pa_2,V_n_2,V_m_2] :
% 190.69/191.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 190.69/191.32 => ( ( V_m_2 = V_n_2
% 190.69/191.32 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 190.69/191.32 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 190.69/191.32 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__not__refl3,axiom,
% 190.69/191.32 ! [V_t,V_s] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 190.69/191.32 => V_s != V_t ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__not__refl2,axiom,
% 190.69/191.32 ! [V_m,V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 190.69/191.32 => V_m != V_n ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__irrefl__nat,axiom,
% 190.69/191.32 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_linorder__neqE__nat,axiom,
% 190.69/191.32 ! [V_y,V_x] :
% 190.69/191.32 ( V_x != V_y
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_nat__neq__iff,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( V_m_2 != V_n_2
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__not__refl,axiom,
% 190.69/191.32 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_one__neq__zero,axiom,
% 190.69/191.32 ! [T_a] :
% 190.69/191.32 ( class_Rings_Ozero__neq__one(T_a)
% 190.69/191.32 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_zero__neq__one,axiom,
% 190.69/191.32 ! [T_a] :
% 190.69/191.32 ( class_Rings_Ozero__neq__one(T_a)
% 190.69/191.32 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_one__reorient,axiom,
% 190.69/191.32 ! [V_x_2,T_b] :
% 190.69/191.32 ( class_Groups_Oone(T_b)
% 190.69/191.32 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 190.69/191.32 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__pred_H,axiom,
% 190.69/191.32 ! [V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__diff__1,axiom,
% 190.69/191.32 ! [V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.32 => 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 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_gr0I,axiom,
% 190.69/191.32 ! [V_n] :
% 190.69/191.32 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_gr__implies__not0,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__nat__zero__code,axiom,
% 190.69/191.32 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_neq0__conv,axiom,
% 190.69/191.32 ! [V_n_2] :
% 190.69/191.32 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__less0,axiom,
% 190.69/191.32 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__less,axiom,
% 190.69/191.32 ! [V_m,V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_zero__less__diff,axiom,
% 190.69/191.32 ! [V_m_2,V_n_2] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__less__eq,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__Suc__eq,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 | V_m_2 = V_n_2 ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__less__eq,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__less__less__Suc__eq,axiom,
% 190.69/191.32 ! [V_m_2,V_n_2] :
% 190.69/191.32 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 190.69/191.32 <=> V_n_2 = V_m_2 ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__antisym,axiom,
% 190.69/191.32 ! [V_m,V_n] :
% 190.69/191.32 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 190.69/191.32 => V_m = V_n ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__SucI,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__lessI,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__trans__Suc,axiom,
% 190.69/191.32 ! [V_k,V_j,V_i] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__SucE,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => V_m = V_n ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__lessD,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__less__SucD,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__less__Suc,axiom,
% 190.69/191.32 ! [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))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__Suc__1,axiom,
% 190.69/191.32 ! [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 ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__add__less1,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__add__less2,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_nat__add__left__cancel__less,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_trans__less__add1,axiom,
% 190.69/191.32 ! [V_m,V_j,V_i] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_trans__less__add2,axiom,
% 190.69/191.32 ! [V_m,V_j,V_i] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__less__mono1,axiom,
% 190.69/191.32 ! [V_k,V_j,V_i] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__less__mono,axiom,
% 190.69/191.32 ! [V_l,V_k,V_j,V_i] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__add__eq__less,axiom,
% 190.69/191.32 ! [V_n,V_m,V_l,V_k] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 190.69/191.32 => ( 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)
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__lessD1,axiom,
% 190.69/191.32 ! [V_k,V_j,V_i] :
% 190.69/191.32 ( 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))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_termination__basic__simps_I2_J,axiom,
% 190.69/191.32 ! [V_y,V_z,V_x] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_termination__basic__simps_I1_J,axiom,
% 190.69/191.32 ! [V_z,V_y,V_x] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__diff__conv,axiom,
% 190.69/191.32 ! [V_k_2,V_j_2,V_i_2] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 <=> 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__diff__inverse,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => 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 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_termination__basic__simps_I5_J,axiom,
% 190.69/191.32 ! [V_y,V_x] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_nat__less__le,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 & V_m_2 != V_n_2 ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__eq__less__or__eq,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 | V_m_2 = V_n_2 ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__imp__le__nat,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__neq__implies__less,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => ( V_m != V_n
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__or__eq__imp__le,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 | V_m = V_n )
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__less__mono,axiom,
% 190.69/191.32 ! [V_c,V_b,V_a] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__diff__iff,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_zero__le__one,axiom,
% 190.69/191.32 ! [T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.32 => 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__one__le__zero,axiom,
% 190.69/191.32 ! [T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.32 => ~ 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))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_zero__less__one,axiom,
% 190.69/191.32 ! [T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_not__one__less__zero,axiom,
% 190.69/191.32 ! [T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.32 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__add__one,axiom,
% 190.69/191.32 ! [V_a,T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.32 => 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)))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_finite__PlusD_I2_J,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_finite__PlusD_I1_J,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_finite__Plus,axiom,
% 190.69/191.32 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_finite__Plus__iff,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_zero__less__two,axiom,
% 190.69/191.32 ! [T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.32 => 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)))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__Suc__eq__0__disj,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 190.69/191.32 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 | ? [B_j] :
% 190.69/191.32 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 190.69/191.32 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__Suc0,axiom,
% 190.69/191.32 ! [V_n_2] :
% 190.69/191.32 ( 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))))
% 190.69/191.32 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_gr0__conv__Suc,axiom,
% 190.69/191.32 ! [V_n_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 190.69/191.32 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_diff__Suc__less,axiom,
% 190.69/191.32 ! [V_i,V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.32 => 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)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__pred,axiom,
% 190.69/191.32 ! [V_n] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.32 => 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 ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_One__nat__def,axiom,
% 190.69/191.32 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__gr__0,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 190.69/191.32 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_nat__diff__split,axiom,
% 190.69/191.32 ! [V_b_2,V_a_2,V_Pa_2] :
% 190.69/191.32 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 190.69/191.32 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 190.69/191.32 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.69/191.32 & ! [B_d] :
% 190.69/191.32 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 190.69/191.32 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_nat__diff__split__asm,axiom,
% 190.69/191.32 ! [V_b_2,V_a_2,V_Pa_2] :
% 190.69/191.32 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 190.69/191.32 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 190.69/191.32 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.69/191.32 | ? [B_d] :
% 190.69/191.32 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 190.69/191.32 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__iff__Suc__add,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__add__Suc2,axiom,
% 190.69/191.32 ! [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)))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__add__Suc1,axiom,
% 190.69/191.32 ! [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)))) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__eq__plus1,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__eq__plus1__left,axiom,
% 190.69/191.32 ! [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) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__le__lessD,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__less__Suc__eq,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 190.69/191.32 <=> V_n_2 = V_m_2 ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__leI,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_le__imp__less__Suc,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Suc__le__eq,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__Suc__eq__le,axiom,
% 190.69/191.32 ! [V_n_2,V_m_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__eq__Suc__le,axiom,
% 190.69/191.32 ! [V_m_2,V_n_2] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Ints__1,axiom,
% 190.69/191.32 ! [T_b] :
% 190.69/191.32 ( class_Rings_Oring__1(T_b)
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Nats__1,axiom,
% 190.69/191.32 ! [T_b] :
% 190.69/191.32 ( class_Rings_Osemiring__1(T_b)
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_less__eq__Suc__le__raw,axiom,
% 190.69/191.32 ! [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)) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_add__eq__if,axiom,
% 190.69/191.32 ! [V_n,V_m] :
% 190.69/191.32 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 190.69/191.32 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__ge__0__finite,axiom,
% 190.69/191.32 ! [V_A_2,T_b] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_linorder__neqE__linordered__idom,axiom,
% 190.69/191.32 ! [V_y,V_x,T_a] :
% 190.69/191.32 ( class_Rings_Olinordered__idom(T_a)
% 190.69/191.32 => ( V_x != V_y
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_pigeonhole,axiom,
% 190.69/191.32 ! [V_A_2,V_f_2,T_c,T_b] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_psubset__card__mono,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 190.69/191.32 ! [V_N_2] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 190.69/191.32 <=> ? [B_m] :
% 190.69/191.32 ! [B_x] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__gt__0__iff,axiom,
% 190.69/191.32 ! [V_A_2,T_b] :
% 190.69/191.32 ( 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)))
% 190.69/191.32 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.32 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Ints__odd__nonzero,axiom,
% 190.69/191.32 ! [V_a_2,T_b] :
% 190.69/191.32 ( class_Int_Oring__char__0(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.32 => 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) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__psubset,axiom,
% 190.69/191.32 ! [V_A_2,V_B_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 190.69/191.32 => ( 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)))
% 190.69/191.32 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Plus,axiom,
% 190.69/191.32 ! [V_B_2,T_c,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Ints__odd__less__0,axiom,
% 190.69/191.32 ! [V_a_2,T_b] :
% 190.69/191.32 ( class_Rings_Olinordered__idom(T_b)
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.32 => ( 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)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card_Oinsert,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Diff__insert,axiom,
% 190.69/191.32 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.32 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 190.69/191.32 => 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)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card__Diff1__less,axiom,
% 190.69/191.32 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.32 => 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))) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_card_Ounion__inter__neutral,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.32 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.32 => ( ( ? [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)))
% 190.69/191.32 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.69/191.32 => 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)) ) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_Plus__eq__empty__conv,axiom,
% 190.69/191.32 ! [V_B_2,V_A_2,T_c,T_b] :
% 190.69/191.32 ( 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))
% 190.69/191.32 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.32 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_ord_OatMost__iff,axiom,
% 190.69/191.32 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_ord_OatLeast__iff,axiom,
% 190.69/191.32 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 190.69/191.32 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 190.69/191.32 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 190.69/191.32
% 190.69/191.32 fof(fact_ord_OlessThan__iff,axiom,
% 190.69/191.33 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_ord_OgreaterThan__iff,axiom,
% 190.69/191.33 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 190.69/191.33 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 190.69/191.33 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 190.69/191.33 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 190.69/191.33 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_ex__least__nat__less,axiom,
% 190.69/191.33 ! [V_n_2,V_Pa_2] :
% 190.69/191.33 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 190.69/191.33 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 190.69/191.33 => ? [B_k] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 190.69/191.33 & ! [B_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 190.69/191.33 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 190.69/191.33 & 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)))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_card__def,axiom,
% 190.69/191.33 ! [V_A_2,T_b] :
% 190.69/191.33 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => 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) )
% 190.69/191.33 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_card_Oeq__fold__g,axiom,
% 190.69/191.33 ! [V_A_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 190.69/191.33 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.33 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 190.69/191.33 => ( ! [B_x] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 => hAPP(V_g_2,B_x) = V_z_2 )
% 190.69/191.33 => 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)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_inj__on__diff__nat,axiom,
% 190.69/191.33 ! [V_k_2,V_N_2] :
% 190.69/191.33 ( ! [B_x] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_card_Oneutral,axiom,
% 190.69/191.33 ! [V_A_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.33 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.69/191.33 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__image__empty,axiom,
% 190.69/191.33 ! [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 ).
% 190.69/191.33
% 190.69/191.33 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 190.69/191.33 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.33 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.33 => 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) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_folding__image_Oeq__fold,axiom,
% 190.69/191.33 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.33 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.33 => 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) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__Un__disjoint,axiom,
% 190.69/191.33 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.69/191.33 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.33 => ( 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))
% 190.69/191.33 => 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)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__image__reindex,axiom,
% 190.69/191.33 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 190.69/191.33 ( class_Groups_Oab__semigroup__mult(T_d)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 190.69/191.33 => 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) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__image__Un__Int,axiom,
% 190.69/191.33 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.69/191.33 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_coinduct__set,axiom,
% 190.69/191.33 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 190.69/191.33 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_def__coinduct__set,axiom,
% 190.69/191.33 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 190.69/191.33 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2))))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_expand__Suc,axiom,
% 190.69/191.33 ! [V_v] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_card__Pow,axiom,
% 190.69/191.33 ! [V_A_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 190.69/191.33 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.33 => ( 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)
% 190.69/191.33 => 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)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_right__diff__distrib__number__of,axiom,
% 190.69/191.33 ! [V_c,V_b,V_v,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber(T_b)
% 190.69/191.33 & class_Rings_Oring(T_b) )
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_left__diff__distrib__number__of,axiom,
% 190.69/191.33 ! [V_v,V_b,V_a,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber(T_b)
% 190.69/191.33 & class_Rings_Oring(T_b) )
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 190.69/191.33 ! [V_q,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 190.69/191.33 ! [V_q,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 190.69/191.33 ! [V_q,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 190.69/191.33 ! [V_q,V_p,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 190.69/191.33 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 190.69/191.33 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 190.69/191.33 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 190.69/191.33 ! [V_q,V_y,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 190.69/191.33 ! [V_rx,V_ly,V_lx,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 190.69/191.33 ! [V_rx,V_ly,V_lx,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Groups_Oab__semigroup__mult(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 190.69/191.33 ! [V_q,V_p,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__number__of__left,axiom,
% 190.69/191.33 ! [V_z,V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_eq__number__of,axiom,
% 190.69/191.33 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber__ring(T_b)
% 190.69/191.33 & class_Int_Oring__char__0(T_b) )
% 190.69/191.33 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 190.69/191.33 <=> V_x_2 = V_y_2 ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_arith__simps_I32_J,axiom,
% 190.69/191.33 ! [V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_number__of__reorient,axiom,
% 190.69/191.33 ! [V_x_2,V_w_2,T_b] :
% 190.69/191.33 ( class_Int_Onumber(T_b)
% 190.69/191.33 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 190.69/191.33 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 190.69/191.33 ! [V_ry,V_rx,V_lx,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 190.69/191.33 ! [V_ry,V_rx,V_lx,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_number__of__mult,axiom,
% 190.69/191.33 ! [V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__left__idem,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__idem,axiom,
% 190.69/191.33 ! [V_x,T_a] :
% 190.69/191.33 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_times_Oidem,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_right__distrib__number__of,axiom,
% 190.69/191.33 ! [V_c,V_b,V_v,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber(T_b)
% 190.69/191.33 & class_Rings_Osemiring(T_b) )
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_left__distrib__number__of,axiom,
% 190.69/191.33 ! [V_v,V_b,V_a,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber(T_b)
% 190.69/191.33 & class_Rings_Osemiring(T_b) )
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_le__number__of,axiom,
% 190.69/191.33 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber__ring(T_b)
% 190.69/191.33 & class_Rings_Olinordered__idom(T_b) )
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_less__number__of,axiom,
% 190.69/191.33 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber__ring(T_b)
% 190.69/191.33 & class_Rings_Olinordered__idom(T_b) )
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_number__of__add,axiom,
% 190.69/191.33 ! [V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_add__number__of__eq,axiom,
% 190.69/191.33 ! [V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_add__number__of__left,axiom,
% 190.69/191.33 ! [V_z,V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_number__of__diff,axiom,
% 190.69/191.33 ! [V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_divisors__zero,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ono__zero__divisors(T_a)
% 190.69/191.33 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.33 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.33 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_no__zero__divisors,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ono__zero__divisors(T_a)
% 190.69/191.33 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.33 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__eq__0__iff,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oring__no__zero__divisors(T_b)
% 190.69/191.33 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.33 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.33 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__zero__right,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Omult__zero(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__zero__left,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Omult__zero(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 190.69/191.33 ! [V_z,V_y,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_crossproduct__noteq,axiom,
% 190.69/191.33 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 190.69/191.33 => ( ( V_a_2 != V_b_2
% 190.69/191.33 & V_c_2 != V_d_2 )
% 190.69/191.33 <=> 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)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 190.69/191.33 ! [V_b,V_m,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_crossproduct__eq,axiom,
% 190.69/191.33 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 190.69/191.33 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 190.69/191.33 => ( 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))
% 190.69/191.33 <=> ( V_w_2 = V_x_2
% 190.69/191.33 | V_y_2 = V_z_2 ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__class_Odistrib,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring(T_a)
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_combine__common__factor,axiom,
% 190.69/191.33 ! [V_c,V_b,V_e,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Osemiring(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult_Ocomm__neutral,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Groups_Ocomm__monoid__mult(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__1__right,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__1,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Groups_Ocomm__monoid__mult(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__1__left,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 190.69/191.33 ! [V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__0,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__0__right,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__is__0,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2] :
% 190.69/191.33 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.33 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.33 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__cancel1,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.33 ( 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)
% 190.69/191.33 <=> ( V_m_2 = V_n_2
% 190.69/191.33 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__cancel2,axiom,
% 190.69/191.33 ! [V_n_2,V_k_2,V_m_2] :
% 190.69/191.33 ( 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)
% 190.69/191.33 <=> ( V_m_2 = V_n_2
% 190.69/191.33 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_Suc__mult__cancel1,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.33 ( 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)
% 190.69/191.33 <=> V_m_2 = V_n_2 ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_add__mult__distrib,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_add__mult__distrib2,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__mono,axiom,
% 190.69/191.33 ! [V_l,V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__mono2,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__mono1,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_le__cube,axiom,
% 190.69/191.33 ! [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)))) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_le__square,axiom,
% 190.69/191.33 ! [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))) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_diff__mult__distrib,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_diff__mult__distrib2,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_nat__mult__eq__1__iff,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2] :
% 190.69/191.33 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.69/191.33 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.69/191.33 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_nat__mult__1__right,axiom,
% 190.69/191.33 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 190.69/191.33
% 190.69/191.33 fof(fact_nat__1__eq__mult__iff,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2] :
% 190.69/191.33 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 190.69/191.33 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.69/191.33 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_nat__mult__1,axiom,
% 190.69/191.33 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fun__left__comm__idem,axiom,
% 190.69/191.33 ! [T_b] :
% 190.69/191.33 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 190.69/191.33 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_power__eq__if,axiom,
% 190.69/191.33 ! [V_p,V_m] :
% 190.69/191.33 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.33 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 190.69/191.33 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.33 => 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)))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_gfp__upperbound,axiom,
% 190.69/191.33 ! [V_f_2,V_X_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2)))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_gfp__unfold,axiom,
% 190.69/191.33 ! [V_f_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.33 => c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_def__gfp__unfold,axiom,
% 190.69/191.33 ! [V_f_2,V_A_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.33 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_le__number__of__eq__not__less,axiom,
% 190.69/191.33 ! [V_w_2,V_v_2,T_b] :
% 190.69/191.33 ( ( class_Int_Onumber(T_b)
% 190.69/191.33 & class_Orderings_Olinorder(T_b) )
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> ~ 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_add__number__of__diff1,axiom,
% 190.69/191.33 ! [V_c,V_w,V_v,T_a] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 190.69/191.33 ! [V_x,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zero__le__square,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__ring(T_a)
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zero__le__mult__iff,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 190.69/191.33 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__0__iff,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 190.69/191.33 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__nonneg__nonneg,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__nonneg__nonpos,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__nonneg__nonpos2,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__nonpos__nonneg,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__nonpos__nonpos,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__right__mono,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__left__mono,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__mult__left__mono,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__comm__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__right__mono__neg,axiom,
% 190.69/191.33 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__left__mono__neg,axiom,
% 190.69/191.33 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__mono_H,axiom,
% 190.69/191.33 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__mono,axiom,
% 190.69/191.33 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__semiring(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_split__mult__pos__le,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_a)
% 190.69/191.33 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 190.69/191.33 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_split__mult__neg__le,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Oordered__cancel__semiring(T_a)
% 190.69/191.33 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 190.69/191.33 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_not__square__less__zero,axiom,
% 190.69/191.33 ! [V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__ring(T_a)
% 190.69/191.33 => ~ 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__cancel__right__disj,axiom,
% 190.69/191.33 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 190.69/191.33 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__cancel__left__disj,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 190.69/191.33 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__cancel__left__pos,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__pos__pos,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__pos__neg,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__pos__neg2,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zero__less__mult__pos,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zero__less__mult__pos2,axiom,
% 190.69/191.33 ! [V_a,V_b,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__cancel__left__neg,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__neg__pos,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__neg__neg,axiom,
% 190.69/191.33 ! [V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__strict__right__mono,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__strict__left__mono,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__mult__strict__left__mono,axiom,
% 190.69/191.33 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__strict__right__mono__neg,axiom,
% 190.69/191.33 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__strict__left__mono__neg,axiom,
% 190.69/191.33 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_sum__squares__eq__zero__iff,axiom,
% 190.69/191.33 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( 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)
% 190.69/191.33 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.33 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_add__scale__eq__noteq,axiom,
% 190.69/191.33 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 190.69/191.33 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 190.69/191.33 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.33 => ( ( V_a = V_b
% 190.69/191.33 & V_c != V_d )
% 190.69/191.33 => 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)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_less__1__mult,axiom,
% 190.69/191.33 ! [V_n,V_m,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_eq__add__iff2,axiom,
% 190.69/191.33 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oring(T_b)
% 190.69/191.33 => ( 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)
% 190.69/191.33 <=> 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) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_eq__add__iff1,axiom,
% 190.69/191.33 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oring(T_b)
% 190.69/191.33 => ( 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)
% 190.69/191.33 <=> 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 ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 190.69/191.33 ! [V_m,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 190.69/191.33 ! [V_a,V_m,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 190.69/191.33 ! [V_m,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Ocomm__semiring__1(T_a)
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__eq__1__iff,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2] :
% 190.69/191.33 ( 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))
% 190.69/191.33 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 190.69/191.33 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_nat__0__less__mult__iff,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__cancel1,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__cancel2,axiom,
% 190.69/191.33 ! [V_n_2,V_k_2,V_m_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.69/191.33 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__mono1,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__mono2,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_Suc__mult__less__cancel1,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__Suc__right,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__Suc,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_Suc__mult__le__cancel1,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_Ints__power,axiom,
% 190.69/191.33 ! [V_n_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oring__1(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_Ints__number__of,axiom,
% 190.69/191.33 ! [V_w_2,T_b] :
% 190.69/191.33 ( class_Int_Onumber__ring(T_b)
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__eq__self__implies__10,axiom,
% 190.69/191.33 ! [V_n,V_m] :
% 190.69/191.33 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 190.69/191.33 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 190.69/191.33 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_Ints__mult,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oring__1(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_Nats__mult,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Osemiring__1(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_weak__coinduct,axiom,
% 190.69/191.33 ! [V_f_2,V_X_2,V_a_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,V_X_2)))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__cancel__left__pos,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__cancel__left__neg,axiom,
% 190.69/191.33 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__strict__mono,axiom,
% 190.69/191.33 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__strict__mono_H,axiom,
% 190.69/191.33 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__le__imp__less,axiom,
% 190.69/191.33 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__less__imp__less,axiom,
% 190.69/191.33 ! [V_d,V_c,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => 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))) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__right__less__imp__less,axiom,
% 190.69/191.33 ! [V_b,V_c,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__imp__less__right,axiom,
% 190.69/191.33 ! [V_b,V_c,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__left__less__imp__less,axiom,
% 190.69/191.33 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__less__imp__less__left,axiom,
% 190.69/191.33 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__right__le__imp__le,axiom,
% 190.69/191.33 ! [V_b,V_c,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__left__le__imp__le,axiom,
% 190.69/191.33 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__strict(T_a)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_sum__squares__le__zero__iff,axiom,
% 190.69/191.33 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.33 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_sum__squares__ge__zero,axiom,
% 190.69/191.33 ! [V_y,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__ring(T_a)
% 190.69/191.33 => 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)))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_sum__squares__gt__zero__iff,axiom,
% 190.69/191.33 ! [V_y_2,V_x_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__ring__strict(T_b)
% 190.69/191.33 => ( 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))))
% 190.69/191.33 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.33 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_not__sum__squares__lt__zero,axiom,
% 190.69/191.33 ! [V_y,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__ring(T_a)
% 190.69/191.33 => ~ 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__right__le__one__le,axiom,
% 190.69/191.33 ! [V_y,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__idom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 190.69/191.33 => 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)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__left__le__one__le,axiom,
% 190.69/191.33 ! [V_y,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__idom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 190.69/191.33 => 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)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_le__add__iff2,axiom,
% 190.69/191.33 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_le__add__iff1,axiom,
% 190.69/191.33 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> 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)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_less__add__iff2,axiom,
% 190.69/191.33 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_less__add__iff1,axiom,
% 190.69/191.33 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 190.69/191.33 ( class_Rings_Oordered__ring(T_b)
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> 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)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_n__less__m__mult__n,axiom,
% 190.69/191.33 ! [V_m,V_n] :
% 190.69/191.33 ( 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))
% 190.69/191.33 => ( 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))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_n__less__n__mult__m,axiom,
% 190.69/191.33 ! [V_m,V_n] :
% 190.69/191.33 ( 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))
% 190.69/191.33 => ( 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))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_one__less__mult,axiom,
% 190.69/191.33 ! [V_m,V_n] :
% 190.69/191.33 ( 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))
% 190.69/191.33 => ( 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))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_one__le__mult__iff,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( 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))
% 190.69/191.33 & 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)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__cancel1,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__le__cancel2,axiom,
% 190.69/191.33 ! [V_n_2,V_k_2,V_m_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_gfp__lemma2,axiom,
% 190.69/191.33 ! [V_f_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_gfp__lemma3,axiom,
% 190.69/191.33 ! [V_f_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__image__distrib,axiom,
% 190.69/191.33 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 190.69/191.33 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => 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)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_weak__coinduct__image,axiom,
% 190.69/191.33 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 190.69/191.33 => ( 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_g_2),V_X_2)),hAPP(V_f_2,hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2))))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_g_2,V_a_2)),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_c,tc_HOL_Obool),V_f_2))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_convex__bound__le,axiom,
% 190.69/191.33 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__1(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 190.69/191.33 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 190.69/191.33 => 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)) ) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_gfp__fun__UnI2,axiom,
% 190.69/191.33 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 190.69/191.33 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_fold__image__insert,axiom,
% 190.69/191.33 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 190.69/191.33 ( class_Groups_Oab__semigroup__mult(T_c)
% 190.69/191.33 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.33 => 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)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_mult__eq__if,axiom,
% 190.69/191.33 ! [V_n,V_m] :
% 190.69/191.33 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.33 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.69/191.33 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.33 => 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)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_coinduct,axiom,
% 190.69/191.33 ! [V_X_2,V_f_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_coinduct__lemma,axiom,
% 190.69/191.33 ! [V_f_2,V_X_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)))))
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2))))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_def__coinduct,axiom,
% 190.69/191.33 ! [V_X_2,V_f_2,V_A_2,T_b] :
% 190.69/191.33 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.33 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 190.69/191.33 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_X_2),V_A_2))))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_convex__bound__lt,axiom,
% 190.69/191.33 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 190.69/191.33 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 190.69/191.33 => 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)) ) ) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_power__strict__mono,axiom,
% 190.69/191.33 ! [V_n,V_b,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.33 => 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))) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_image__eq__fold__image,axiom,
% 190.69/191.33 ! [V_f_2,T_c,V_A_2,T_b] :
% 190.69/191.33 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.33 => 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) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_one__less__power,axiom,
% 190.69/191.33 ! [V_n,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_power__le__imp__le__exp,axiom,
% 190.69/191.33 ! [V_n,V_m,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.33 => ( 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)))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_power__increasing__iff,axiom,
% 190.69/191.33 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_b)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 190.69/191.33 => ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_power__decreasing,axiom,
% 190.69/191.33 ! [V_a,V_N,V_n,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.69/191.33 => 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))) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_power__strict__decreasing,axiom,
% 190.69/191.33 ! [V_a,V_N,V_n,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.69/191.33 => 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))) ) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_power__Suc__less__one,axiom,
% 190.69/191.33 ! [V_n,V_a,T_a] :
% 190.69/191.33 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.69/191.33 => 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))) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zdiff__zmult__distrib2,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zdiff__zmult__distrib,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_less__number__of__int__code,axiom,
% 190.69/191.33 ! [V_l_2,V_k_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zmult__zless__mono2,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__zmult__distrib2,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_plus__numeral__code_I9_J,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__zmult__distrib,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zmult__assoc,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zpower__zpower,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_times__numeral__code_I5_J,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zmult__commute,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_nat__mult__assoc,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_nat__mult__commute,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_less__eq__number__of__int__code,axiom,
% 190.69/191.33 ! [V_l_2,V_k_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zmult__1__right,axiom,
% 190.69/191.33 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zmult__1,axiom,
% 190.69/191.33 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 190.69/191.33
% 190.69/191.33 fof(fact_pos__zmult__eq__1__iff,axiom,
% 190.69/191.33 ! [V_n_2,V_m_2] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 190.69/191.33 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.69/191.33 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 190.69/191.33 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zle__diff1__eq,axiom,
% 190.69/191.33 ! [V_z_2,V_w_2] :
% 190.69/191.33 ( 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))))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_odd__less__0,axiom,
% 190.69/191.33 ! [V_z_2] :
% 190.69/191.33 ( 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)))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zless__add1__eq,axiom,
% 190.69/191.33 ! [V_z_2,V_w_2] :
% 190.69/191.33 ( 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))))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 190.69/191.33 | V_w_2 = V_z_2 ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_int__0__less__1,axiom,
% 190.69/191.33 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))) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_int__one__le__iff__zero__less,axiom,
% 190.69/191.33 ! [V_z_2] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zless__imp__add1__zle,axiom,
% 190.69/191.33 ! [V_z,V_w] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 190.69/191.33 => 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)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_add1__zle__eq,axiom,
% 190.69/191.33 ! [V_z_2,V_w_2] :
% 190.69/191.33 ( 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))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zle__add1__eq__le,axiom,
% 190.69/191.33 ! [V_z_2,V_w_2] :
% 190.69/191.33 ( 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))))
% 190.69/191.33 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_le__imp__0__less,axiom,
% 190.69/191.33 ! [V_z] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_odd__nonzero,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__left__mono,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zle__antisym,axiom,
% 190.69/191.33 ! [V_w,V_z] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 190.69/191.33 => V_z = V_w ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zle__trans,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 190.69/191.33 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zle__linear,axiom,
% 190.69/191.33 ! [V_w,V_z] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 190.69/191.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zle__refl,axiom,
% 190.69/191.33 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__assoc,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__left__commute,axiom,
% 190.69/191.33 ! [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)) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__commute,axiom,
% 190.69/191.33 ! [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) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__0__right,axiom,
% 190.69/191.33 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__0,axiom,
% 190.69/191.33 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__zless__mono,axiom,
% 190.69/191.33 ! [V_z,V_z_H,V_w,V_w_H] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 190.69/191.33 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 190.69/191.33 => 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))) ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zless__le,axiom,
% 190.69/191.33 ! [V_w_2,V_z_2] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 190.69/191.33 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 190.69/191.33 & V_z_2 != V_w_2 ) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zless__linear,axiom,
% 190.69/191.33 ! [V_y,V_x] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 190.69/191.33 | V_x = V_y
% 190.69/191.33 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zadd__strict__right__mono,axiom,
% 190.69/191.33 ! [V_k,V_j,V_i] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 190.69/191.33 => 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_less__bin__lemma,axiom,
% 190.69/191.33 ! [V_l_2,V_k_2] :
% 190.69/191.33 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 190.69/191.33 <=> 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))) ) ).
% 190.69/191.33
% 190.69/191.33 fof(fact_zpower__zadd__distrib,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Oidem,axiom,
% 190.69/191.34 ! [V_x,T_a] :
% 190.69/191.34 ( class_Lattices_Olattice(T_a)
% 190.69/191.34 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Oidem,axiom,
% 190.69/191.34 ! [V_x,T_a] :
% 190.69/191.34 ( class_Lattices_Olattice(T_a)
% 190.69/191.34 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__mult,axiom,
% 190.69/191.34 ! [V_n,V_m,V_a,T_a] :
% 190.69/191.34 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_field__power__not__zero,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 190.69/191.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__mult__distrib,axiom,
% 190.69/191.34 ! [V_n,V_b,V_a,T_a] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__commutes,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__one,axiom,
% 190.69/191.34 ! [V_n,T_a] :
% 190.69/191.34 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__one__right,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.34 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__mono,axiom,
% 190.69/191.34 ! [V_n,V_b,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zero__le__power,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zero__less__power,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__eq__0__iff,axiom,
% 190.69/191.34 ! [V_n_2,V_a_2,T_b] :
% 190.69/191.34 ( ( class_Power_Opower(T_b)
% 190.69/191.34 & class_Rings_Omult__zero(T_b)
% 190.69/191.34 & class_Rings_Ono__zero__divisors(T_b)
% 190.69/191.34 & class_Rings_Ozero__neq__one(T_b) )
% 190.69/191.34 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.34 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.34 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_one__le__power,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__0__Suc,axiom,
% 190.69/191.34 ! [V_n,T_a] :
% 190.69/191.34 ( ( class_Power_Opower(T_a)
% 190.69/191.34 & class_Rings_Osemiring__0(T_a) )
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__inject__exp,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 190.69/191.34 => ( 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)
% 190.69/191.34 <=> V_m_2 = V_n_2 ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__Suc2,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__Suc,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Power_Opower(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__0,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Power_Opower(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__add,axiom,
% 190.69/191.34 ! [V_n,V_m,V_a,T_a] :
% 190.69/191.34 ( class_Groups_Omonoid__mult(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 190.69/191.34 ! [V_m_2,V_x_2] :
% 190.69/191.34 ( 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))
% 190.69/191.34 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.34 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__Suc__0,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__zero__less__power__iff,axiom,
% 190.69/191.34 ! [V_n_2,V_x_2] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 190.69/191.34 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__power__less__imp__less,axiom,
% 190.69/191.34 ! [V_n,V_m,V_i] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__less__imp__less__base,axiom,
% 190.69/191.34 ! [V_b,V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( 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)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__inject__base,axiom,
% 190.69/191.34 ! [V_b,V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( 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))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.34 => V_a = V_b ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__le__imp__le__base,axiom,
% 190.69/191.34 ! [V_b,V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( 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))))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__gt1__lemma,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.34 => 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)))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__less__power__Suc,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.34 => 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)))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__0__left,axiom,
% 190.69/191.34 ! [V_n,T_a] :
% 190.69/191.34 ( ( class_Power_Opower(T_a)
% 190.69/191.34 & class_Rings_Osemiring__0(T_a) )
% 190.69/191.34 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__gt1,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.34 => 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)))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__strict__increasing__iff,axiom,
% 190.69/191.34 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__less__imp__less__exp,axiom,
% 190.69/191.34 ! [V_n,V_m,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__strict__increasing,axiom,
% 190.69/191.34 ! [V_a,V_N,V_n,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__increasing,axiom,
% 190.69/191.34 ! [V_a,V_N,V_n,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__one__le__power,axiom,
% 190.69/191.34 ! [V_n,V_i] :
% 190.69/191.34 ( 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))
% 190.69/191.34 => 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))) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__Suc__less,axiom,
% 190.69/191.34 ! [V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__eq__imp__eq__base,axiom,
% 190.69/191.34 ! [V_b,V_n,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Olinordered__semidom(T_a)
% 190.69/191.34 => ( 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)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.34 => V_a = V_b ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__less__add__iff1,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__less__add__iff2,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__le__add__iff1,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__diff__add__eq1,axiom,
% 190.69/191.34 ! [V_n,V_m,V_u,V_i,V_j] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__eq__add__iff1,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 190.69/191.34 => ( 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)
% 190.69/191.34 <=> 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 ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__le__add__iff2,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__diff__add__eq2,axiom,
% 190.69/191.34 ! [V_n,V_m,V_u,V_j,V_i] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_number__of__is__id,axiom,
% 190.69/191.34 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 190.69/191.34
% 190.69/191.34 fof(fact_int__0__neq__1,axiom,
% 190.69/191.34 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.34 ( 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)
% 190.69/191.34 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.34 | V_m_2 = V_n_2 ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_left__add__mult__distrib,axiom,
% 190.69/191.34 ! [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) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__mult__less__cancel1,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__mult__eq__cancel1,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.69/191.34 => ( 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)
% 190.69/191.34 <=> V_m_2 = V_n_2 ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__mult__le__cancel1,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__eq__add__iff2,axiom,
% 190.69/191.34 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 190.69/191.34 => ( 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)
% 190.69/191.34 <=> 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_self__quotient__aux1,axiom,
% 190.69/191.34 ! [V_q,V_r,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_self__quotient__aux2,axiom,
% 190.69/191.34 ! [V_q,V_r,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_q__pos__lemma,axiom,
% 190.69/191.34 ! [V_r_H,V_q_H,V_b_H] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_q__neg__lemma,axiom,
% 190.69/191.34 ! [V_r_H,V_q_H,V_b_H] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_unique__quotient__lemma,axiom,
% 190.69/191.34 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__mono2__lemma,axiom,
% 190.69/191.34 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 190.69/191.34 ( 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)
% 190.69/191.34 => ( 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)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_unique__quotient__lemma__neg,axiom,
% 190.69/191.34 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 190.69/191.34 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 190.69/191.34 ( 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)
% 190.69/191.34 => ( 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)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 190.69/191.34 ! [V_n,V_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.69/191.34 => 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))) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 190.69/191.34 ! [V_y,V_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 190.69/191.34 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))) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 190.69/191.34 ! [V_y,V_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_comm__monoid__big_OF__eq,axiom,
% 190.69/191.34 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.34 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.69/191.34 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.34 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__number__of__odd__number__of,axiom,
% 190.69/191.34 ! [V_v_2,V_w_2,T_b] :
% 190.69/191.34 ( class_Int_Onumber__ring(T_b)
% 190.69/191.34 => ( ( 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)))
% 190.69/191.34 => 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))) )
% 190.69/191.34 & ( ~ 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)))
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__power__power,axiom,
% 190.69/191.34 ! [T_b] :
% 190.69/191.34 ( class_Power_Opower(T_b)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I51_J,axiom,
% 190.69/191.34 ! [V_l_2,V_k_2] :
% 190.69/191.34 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 190.69/191.34 <=> V_k_2 = V_l_2 ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I34_J,axiom,
% 190.69/191.34 ! [V_l_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_less__eq__int__code_I16_J,axiom,
% 190.69/191.34 ! [V_k2_2,V_k1_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_less__int__code_I16_J,axiom,
% 190.69/191.34 ! [V_k2_2,V_k1_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I17_J,axiom,
% 190.69/191.34 ! [V_l_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_bin__less__0__simps_I4_J,axiom,
% 190.69/191.34 ! [V_w_2] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Bit1__def,axiom,
% 190.69/191.34 ! [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) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_number__of__Bit1,axiom,
% 190.69/191.34 ! [V_w,T_a] :
% 190.69/191.34 ( class_Int_Onumber__ring(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power_Opower_Opower__0,axiom,
% 190.69/191.34 ! [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 ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power_Opower_Opower__Suc,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 190.69/191.34 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 190.69/191.34 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 190.69/191.34 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 190.69/191.34 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 190.69/191.34 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))) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__number__of__odd,axiom,
% 190.69/191.34 ! [V_z_2,V_w_2,T_b] :
% 190.69/191.34 ( class_Int_Onumber__ring(T_b)
% 190.69/191.34 => ( ( 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)))
% 190.69/191.34 => 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))) )
% 190.69/191.34 & ( ~ 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)))
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zpower__number__of__odd,axiom,
% 190.69/191.34 ! [V_z_2,V_w_2] :
% 190.69/191.34 ( ( 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)))
% 190.69/191.34 => 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))) )
% 190.69/191.34 & ( ~ 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)))
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_fold__image__Un__one,axiom,
% 190.69/191.34 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.69/191.34 => ( ! [B_x] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_def__coinduct3,axiom,
% 190.69/191.34 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 190.69/191.34 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),V_A_2)))))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_coinduct3,axiom,
% 190.69/191.34 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 190.69/191.34 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__number__of__Bit1,axiom,
% 190.69/191.34 ! [V_w_2] :
% 190.69/191.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 190.69/191.34 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 190.69/191.34 => 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)))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_tsub__def,axiom,
% 190.69/191.34 ! [V_x,V_y] :
% 190.69/191.34 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 190.69/191.34 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 190.69/191.34 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Oremove,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 190.69/191.34 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => 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)))))) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Oremove,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 190.69/191.34 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => 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)))))) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_lfp__const,axiom,
% 190.69/191.34 ! [V_t_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_not__neg__0,axiom,
% 190.69/191.34 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_not__neg__1,axiom,
% 190.69/191.34 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__le__Sup,axiom,
% 190.69/191.34 ! [V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_lfp__lowerbound,axiom,
% 190.69/191.34 ! [V_A_2,V_f_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_A_2)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_def__lfp__unfold,axiom,
% 190.69/191.34 ! [V_f_2,V_h_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.34 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_lfp__unfold,axiom,
% 190.69/191.34 ! [V_f_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.34 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2) = hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Osingleton,axiom,
% 190.69/191.34 ! [V_x_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => 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 ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Osingleton,axiom,
% 190.69/191.34 ! [V_x_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => 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 ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_not__neg__eq__ge__0,axiom,
% 190.69/191.34 ! [V_x_2] :
% 190.69/191.34 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_neg__def,axiom,
% 190.69/191.34 ! [V_Z_2] :
% 190.69/191.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_neg__number__of__Bit1,axiom,
% 190.69/191.34 ! [V_w_2] :
% 190.69/191.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 190.69/191.34 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_lfp__lemma2,axiom,
% 190.69/191.34 ! [V_f_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_lfp__lemma3,axiom,
% 190.69/191.34 ! [V_f_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_sup__Inf__absorb,axiom,
% 190.69/191.34 ! [V_a_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.34 => 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 ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Oin__idem,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Oin__idem,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_inf__Sup__absorb,axiom,
% 190.69/191.34 ! [V_a_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.34 => 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 ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_neg__imp__number__of__eq__0,axiom,
% 190.69/191.34 ! [V_v] :
% 190.69/191.34 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.69/191.34 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_def__lfp__induct,axiom,
% 190.69/191.34 ! [V_Pa_2,V_f_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_A_2),V_Pa_2))),V_Pa_2))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_Pa_2)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_lfp__induct,axiom,
% 190.69/191.34 ! [V_Pa_2,V_f_2,T_b] :
% 190.69/191.34 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_Pa_2))),V_Pa_2))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)),V_Pa_2)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Osubset__idem,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.34 => 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) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Osubset__idem,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 190.69/191.34 => 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) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Ounion__idem,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Ounion__idem,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_eq__nat__number__of,axiom,
% 190.69/191.34 ! [V_v_H_2,V_v_2] :
% 190.69/191.34 ( 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)
% 190.69/191.34 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 190.69/191.34 => 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))) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 190.69/191.34 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 190.69/191.34 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 190.69/191.34 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nat__number__of__add__left,axiom,
% 190.69/191.34 ! [V_k,V_v_H,V_v] :
% 190.69/191.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.69/191.34 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 190.69/191.34 => 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) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 190.69/191.34 ! [V_y,V_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_tsub__eq,axiom,
% 190.69/191.34 ! [V_x,V_y] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 190.69/191.34 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Oinsert,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Oinsert,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => 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 )
% 190.69/191.34 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => 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)))))) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 190.69/191.34 ! [V_x_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => 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 )
% 190.69/191.34 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 190.69/191.34 => 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)))))) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Ounion__inter,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => 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)) ) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Ounion__inter,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 190.69/191.34 ! [V_B_2,V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => 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)) ) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_coinduct3__lemma,axiom,
% 190.69/191.34 ! [V_f_2,V_X_2,T_b] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2))))))
% 190.69/191.34 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))),hAPP(V_f_2,c_Inductive_Ocomplete__lattice__class_Olfp(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(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_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)),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_f_2)),V_X_2))),c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Suc__nat__number__of__add,axiom,
% 190.69/191.34 ! [V_n,V_v] :
% 190.69/191.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Suc__nat__number__of,axiom,
% 190.69/191.34 ! [V_v] :
% 190.69/191.34 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.69/191.34 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Oclosed,axiom,
% 190.69/191.34 ! [V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( ! [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))))))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Oclosed,axiom,
% 190.69/191.34 ! [V_A_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => ( ! [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))))))
% 190.69/191.34 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 190.69/191.34 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 190.69/191.34 ( 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))
% 190.69/191.34 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 190.69/191.34 | ? [B_x,B_y] :
% 190.69/191.34 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 190.69/191.34 & 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_int__power__div__base,axiom,
% 190.69/191.34 ! [V_k,V_m] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 190.69/191.34 => 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)))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__gen__delta,axiom,
% 190.69/191.34 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.69/191.34 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.69/191.34 => 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)))) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__zero,axiom,
% 190.69/191.34 ! [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) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__0,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__by__0,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__by__1,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__timesf,axiom,
% 190.69/191.34 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__1,axiom,
% 190.69/191.34 ! [V_A_2,T_c,T_b] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__zero__iff,axiom,
% 190.69/191.34 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 190.69/191.34 & class_Rings_Ono__zero__divisors(T_c) )
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( 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)
% 190.69/191.34 <=> ? [B_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.34 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__zero,axiom,
% 190.69/191.34 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Rings_Ocomm__semiring__1(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( ? [B_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 190.69/191.34 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__empty,axiom,
% 190.69/191.34 ! [V_f_2,T_c,T_b] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Oempty,axiom,
% 190.69/191.34 ! [V_g_2,T_c,T_b] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_b)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__infinite,axiom,
% 190.69/191.34 ! [V_f_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Oinfinite,axiom,
% 190.69/191.34 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__eq__1__iff,axiom,
% 190.69/191.34 ! [V_f_2,V_F_2,T_b] :
% 190.69/191.34 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 190.69/191.34 => ( 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)
% 190.69/191.34 <=> ! [B_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 190.69/191.34 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 190.69/191.34 ! [V_y,V_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__neg__pos__less0,axiom,
% 190.69/191.34 ! [V_b,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 190.69/191.34 ! [V_a_2,V_b_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 190.69/191.34 ! [V_a_2,V_b_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__self,axiom,
% 190.69/191.34 ! [V_a] :
% 190.69/191.34 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.69/191.34 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Odistrib,axiom,
% 190.69/191.34 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult__mult1__if,axiom,
% 190.69/191.34 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult__self2__is__id,axiom,
% 190.69/191.34 ! [V_a,V_b,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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 ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult__self1__is__id,axiom,
% 190.69/191.34 ! [V_a,V_b,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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 ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult__mult2,axiom,
% 190.69/191.34 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult__mult1,axiom,
% 190.69/191.34 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__self,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__pos__nat__iff,axiom,
% 190.69/191.34 ! [V_f_2,V_S_2,T_b] :
% 190.69/191.34 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> ! [B_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__reindex__cong,axiom,
% 190.69/191.34 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.69/191.34 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 190.69/191.34 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 190.69/191.34 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 190.69/191.34 => 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) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__reindex,axiom,
% 190.69/191.34 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_d)
% 190.69/191.34 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__mono1__neg,axiom,
% 190.69/191.34 ! [V_b,V_a_H,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__mono1,axiom,
% 190.69/191.34 ! [V_b,V_a_H,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__neg__neg__trivial,axiom,
% 190.69/191.34 ! [V_b,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 190.69/191.34 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__mono2__neg,axiom,
% 190.69/191.34 ! [V_b,V_b_H,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__nonpos__pos__le0,axiom,
% 190.69/191.34 ! [V_b,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 190.69/191.34 ! [V_a_2,V_b_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__pos__pos__trivial,axiom,
% 190.69/191.34 ! [V_b,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 190.69/191.34 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__nonneg__neg__le0,axiom,
% 190.69/191.34 ! [V_b,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => 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))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__mono2,axiom,
% 190.69/191.34 ! [V_b,V_b_H,V_a] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 190.69/191.34 => 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))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 190.69/191.34 ! [V_b_2,V_a_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 190.69/191.34 ! [V_i_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 190.69/191.34 ! [V_a_2,V_b_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 190.69/191.34 => ( 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)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__eq__0__iff,axiom,
% 190.69/191.34 ! [V_k_2,V_i_2] :
% 190.69/191.34 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.69/191.34 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.69/191.34 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 190.69/191.34 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_int__div__less__self,axiom,
% 190.69/191.34 ! [V_k,V_x] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__zmult2__eq,axiom,
% 190.69/191.34 ! [V_b,V_a,V_c] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__delta_H,axiom,
% 190.69/191.34 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.69/191.34 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.69/191.34 => 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) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__delta,axiom,
% 190.69/191.34 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.69/191.34 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 190.69/191.34 => 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) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__constant,axiom,
% 190.69/191.34 ! [V_y_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult__self1,axiom,
% 190.69/191.34 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult__self2,axiom,
% 190.69/191.34 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__add__self2,axiom,
% 190.69/191.34 ! [V_a,V_b,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__add__self1,axiom,
% 190.69/191.34 ! [V_a,V_b,T_a] :
% 190.69/191.34 ( class_Divides_Osemiring__div(T_a)
% 190.69/191.34 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Oinsert,axiom,
% 190.69/191.34 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => 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)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__insert,axiom,
% 190.69/191.34 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.34 => 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)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_succ__def,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__Un__Int,axiom,
% 190.69/191.34 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => 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)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Ounion__inter,axiom,
% 190.69/191.34 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => 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)) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Oreindex,axiom,
% 190.69/191.34 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_OF__eq,axiom,
% 190.69/191.34 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Oeq__fold,axiom,
% 190.69/191.34 ! [V_g_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Oinsert__remove,axiom,
% 190.69/191.34 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => 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)))))) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Ounion__disjoint,axiom,
% 190.69/191.34 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__Un__disjoint,axiom,
% 190.69/191.34 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( 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))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_split__zdiv,axiom,
% 190.69/191.34 ! [V_k_2,V_n_2,V_Pa_2] :
% 190.69/191.34 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 190.69/191.34 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.69/191.34 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 190.69/191.34 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 190.69/191.34 => ! [B_i] :
% 190.69/191.34 ( ? [B_j] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 190.69/191.34 & 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) )
% 190.69/191.34 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 190.69/191.34 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 => ! [B_i] :
% 190.69/191.34 ( ? [B_j] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 190.69/191.34 & 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) )
% 190.69/191.34 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_divmod__int__rel__div__eq,axiom,
% 190.69/191.34 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 190.69/191.34 ( 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)
% 190.69/191.34 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 190.69/191.34 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 190.69/191.34 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 190.69/191.34 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_number__of__succ,axiom,
% 190.69/191.34 ! [V_k,T_a] :
% 190.69/191.34 ( class_Int_Onumber__ring(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Oremove,axiom,
% 190.69/191.34 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 190.69/191.34 => 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)))))) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__Un__one,axiom,
% 190.69/191.34 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 190.69/191.34 => ( ! [B_x] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 190.69/191.34 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Groups_Ocomm__monoid__mult(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 190.69/191.34 => ( ! [B_x] :
% 190.69/191.34 ( 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)))
% 190.69/191.34 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_zdiv__number__of__Bit1,axiom,
% 190.69/191.34 ! [V_v,V_w] :
% 190.69/191.34 ( ( 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)))
% 190.69/191.34 => 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)) )
% 190.69/191.34 & ( ~ 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)))
% 190.69/191.34 => 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)) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_setprod__diff1,axiom,
% 190.69/191.34 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 190.69/191.34 ( class_Fields_Ofield(T_c)
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.34 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 190.69/191.34 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.34 => 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)) )
% 190.69/191.34 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 190.69/191.34 => 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) ) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Inf__fin_Ohom__commute,axiom,
% 190.69/191.34 ! [V_N_2,V_h_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( ! [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))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.69/191.34 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Sup__fin_Ohom__commute,axiom,
% 190.69/191.34 ! [V_N_2,V_h_2,T_b] :
% 190.69/191.34 ( class_Lattices_Olattice(T_b)
% 190.69/191.34 => ( ! [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))
% 190.69/191.34 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 190.69/191.34 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 190.69/191.34 => 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)) ) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I48_J,axiom,
% 190.69/191.34 ! [V_l_2,V_k_2] :
% 190.69/191.34 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 190.69/191.34 <=> V_k_2 = V_l_2 ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_divide__zero__left,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_divide__zero,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_add__divide__distrib,axiom,
% 190.69/191.34 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_times__divide__eq__right,axiom,
% 190.69/191.34 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.34 => 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) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_diff__divide__distrib,axiom,
% 190.69/191.34 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__le__mono,axiom,
% 190.69/191.34 ! [V_k,V_n,V_m] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.34 => 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))) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__le__dividend,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_divide__1,axiom,
% 190.69/191.34 ! [V_a,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.34 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__mult2__eq,axiom,
% 190.69/191.34 ! [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) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_power__divide,axiom,
% 190.69/191.34 ! [V_n,V_b,V_a,T_a] :
% 190.69/191.34 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.69/191.34 => 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)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_less__eq__int__code_I13_J,axiom,
% 190.69/191.34 ! [V_k2_2,V_k1_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I31_J,axiom,
% 190.69/191.34 ! [V_l_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I14_J,axiom,
% 190.69/191.34 ! [V_l_2,V_k_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_less__int__code_I13_J,axiom,
% 190.69/191.34 ! [V_k2_2,V_k1_2] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.69/191.34 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I49_J,axiom,
% 190.69/191.34 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_rel__simps_I50_J,axiom,
% 190.69/191.34 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_add__Bit0__Bit0,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_Bit0__def,axiom,
% 190.69/191.34 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_mult__Bit0,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_diff__bin__simps_I7_J,axiom,
% 190.69/191.34 ! [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)) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nonzero__eq__divide__eq,axiom,
% 190.69/191.34 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_b)
% 190.69/191.34 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.34 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 190.69/191.34 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_nonzero__divide__eq__eq,axiom,
% 190.69/191.34 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_b)
% 190.69/191.34 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.34 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 190.69/191.34 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_divide__eq__imp,axiom,
% 190.69/191.34 ! [V_a,V_b,V_c,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 190.69/191.34 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_eq__divide__imp,axiom,
% 190.69/191.34 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.34 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.34 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 190.69/191.34 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__1,axiom,
% 190.69/191.34 ! [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 ).
% 190.69/191.34
% 190.69/191.34 fof(fact_div__less,axiom,
% 190.69/191.34 ! [V_n,V_m] :
% 190.69/191.34 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.34 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 190.69/191.34
% 190.69/191.34 fof(fact_right__inverse__eq,axiom,
% 190.69/191.34 ! [V_a_2,V_b_2,T_b] :
% 190.69/191.34 ( class_Rings_Odivision__ring(T_b)
% 190.69/191.34 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.34 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 190.69/191.35 <=> V_a_2 = V_b_2 ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__self,axiom,
% 190.69/191.35 ! [V_a,T_a] :
% 190.69/191.35 ( class_Rings_Odivision__ring(T_a)
% 190.69/191.35 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.35 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__self__if,axiom,
% 190.69/191.35 ! [V_a,T_a] :
% 190.69/191.35 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 190.69/191.35 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.35 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 190.69/191.35 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.35 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_nat__mult__div__cancel__disj,axiom,
% 190.69/191.35 ! [V_n,V_m,V_k] :
% 190.69/191.35 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.35 => 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) )
% 190.69/191.35 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.35 => 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) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_nonzero__power__divide,axiom,
% 190.69/191.35 ! [V_n,V_a,V_b,T_a] :
% 190.69/191.35 ( class_Fields_Ofield(T_a)
% 190.69/191.35 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.35 => 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)) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_power__one__over,axiom,
% 190.69/191.35 ! [V_n,V_a,T_a] :
% 190.69/191.35 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.69/191.35 => 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) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_bin__less__0__simps_I3_J,axiom,
% 190.69/191.35 ! [V_w_2] :
% 190.69/191.35 ( 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)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_rel__simps_I32_J,axiom,
% 190.69/191.35 ! [V_l_2,V_k_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_less__eq__int__code_I14_J,axiom,
% 190.69/191.35 ! [V_k2_2,V_k1_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_less__int__code_I15_J,axiom,
% 190.69/191.35 ! [V_k2_2,V_k1_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_rel__simps_I16_J,axiom,
% 190.69/191.35 ! [V_l_2,V_k_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_add__Bit0__Bit1,axiom,
% 190.69/191.35 ! [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)) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_add__Bit1__Bit0,axiom,
% 190.69/191.35 ! [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)) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_diff__bin__simps_I9_J,axiom,
% 190.69/191.35 ! [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)) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_diff__bin__simps_I10_J,axiom,
% 190.69/191.35 ! [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)) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_zdiv__number__of__Bit0,axiom,
% 190.69/191.35 ! [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)) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_neg__number__of__Bit0,axiom,
% 190.69/191.35 ! [V_w_2] :
% 190.69/191.35 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 190.69/191.35 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_succ__Bit1,axiom,
% 190.69/191.35 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_succ__Bit0,axiom,
% 190.69/191.35 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_setprod__dividef,axiom,
% 190.69/191.35 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 190.69/191.35 ( class_Fields_Ofield__inverse__zero(T_c)
% 190.69/191.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 190.69/191.35 => 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)) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_nat__number__of__Bit0,axiom,
% 190.69/191.35 ! [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))) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_eq__divide__eq__number__of1,axiom,
% 190.69/191.35 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => 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 )
% 190.69/191.35 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_eq__divide__eq__number__of,axiom,
% 190.69/191.35 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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)
% 190.69/191.35 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => 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 )
% 190.69/191.35 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__eq__eq__number__of,axiom,
% 190.69/191.35 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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)
% 190.69/191.35 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => 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) )
% 190.69/191.35 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__eq__eq__number__of1,axiom,
% 190.69/191.35 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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
% 190.69/191.35 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_div__le__mono2,axiom,
% 190.69/191.35 ! [V_k,V_n,V_m] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 190.69/191.35 => 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))) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_number__of__Bit0,axiom,
% 190.69/191.35 ! [V_w,T_a] :
% 190.69/191.35 ( class_Int_Onumber__ring(T_a)
% 190.69/191.35 => 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)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_div__mult__self1__is__m,axiom,
% 190.69/191.35 ! [V_m,V_n] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.35 => 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 ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_div__mult__self__is__m,axiom,
% 190.69/191.35 ! [V_m,V_n] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.35 => 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 ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_nat__mult__div__cancel1,axiom,
% 190.69/191.35 ! [V_n,V_m,V_k] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 190.69/191.35 => 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) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_div__less__dividend,axiom,
% 190.69/191.35 ! [V_m,V_n] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 190.69/191.35 => 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)) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_less__eq__int__code_I15_J,axiom,
% 190.69/191.35 ! [V_k2_2,V_k1_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_rel__simps_I33_J,axiom,
% 190.69/191.35 ! [V_l_2,V_k_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_less__int__code_I14_J,axiom,
% 190.69/191.35 ! [V_k2_2,V_k1_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_rel__simps_I15_J,axiom,
% 190.69/191.35 ! [V_l_2,V_k_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 190.69/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_mult__Bit1,axiom,
% 190.69/191.35 ! [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) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_add__Bit1__Bit1,axiom,
% 190.69/191.35 ! [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))) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_power__number__of__even,axiom,
% 190.69/191.35 ! [V_w_2,V_z_2,T_b] :
% 190.69/191.35 ( class_Int_Onumber__ring(T_b)
% 190.69/191.35 => 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))) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_zpower__number__of__even,axiom,
% 190.69/191.35 ! [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))) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_less__divide__eq__number__of1,axiom,
% 190.69/191.35 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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))))
% 190.69/191.35 <=> ( ( 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)))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => ( ( 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)))
% 190.69/191.35 => 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)))) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_less__divide__eq__number__of,axiom,
% 190.69/191.35 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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))) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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))) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__less__eq__number__of,axiom,
% 190.69/191.35 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => 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))) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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))) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__less__eq__number__of1,axiom,
% 190.69/191.35 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> ( ( 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)))
% 190.69/191.35 => 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)))) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => ( ( 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)))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_div__if,axiom,
% 190.69/191.35 ! [V_m,V_n] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.35 => 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)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_div__geq,axiom,
% 190.69/191.35 ! [V_m,V_n] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.35 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 190.69/191.35 => 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)) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_split__div,axiom,
% 190.69/191.35 ! [V_k_2,V_n_2,V_Pa_2] :
% 190.69/191.35 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 190.69/191.35 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.35 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.69/191.35 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.35 => ! [B_i,B_j] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 190.69/191.35 => ( 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)
% 190.69/191.35 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_double__number__of__Bit0,axiom,
% 190.69/191.35 ! [V_w,T_a] :
% 190.69/191.35 ( class_Int_Onumber__ring(T_a)
% 190.69/191.35 => 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)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_power__diff,axiom,
% 190.69/191.35 ! [V_m,V_n,V_a,T_a] :
% 190.69/191.35 ( class_Fields_Ofield(T_a)
% 190.69/191.35 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.69/191.35 => 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)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_power__number__of__even__number__of,axiom,
% 190.69/191.35 ! [V_w_2,V_v_2,T_b] :
% 190.69/191.35 ( class_Int_Onumber__ring(T_b)
% 190.69/191.35 => 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))) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__le__eq__number__of1,axiom,
% 190.69/191.35 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> ( ( 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)))
% 190.69/191.35 => 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)))) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => ( ( 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)))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__le__eq__number__of,axiom,
% 190.69/191.35 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => 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))) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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))) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_le__divide__eq__number__of,axiom,
% 190.69/191.35 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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))) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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))) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_le__divide__eq__number__of1,axiom,
% 190.69/191.35 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 & class_Int_Onumber(T_b) )
% 190.69/191.35 => ( 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))))
% 190.69/191.35 <=> ( ( 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)))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => ( ( 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)))
% 190.69/191.35 => 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)))) )
% 190.69/191.35 & ( ~ 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)))
% 190.69/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_le__div__geq,axiom,
% 190.69/191.35 ! [V_m,V_n] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 190.69/191.35 => 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)) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_split__div__lemma,axiom,
% 190.69/191.35 ! [V_m_2,V_q_2,V_n_2] :
% 190.69/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 190.69/191.35 => ( ( 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))
% 190.69/191.35 & 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)))) )
% 190.69/191.35 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_split__div_H,axiom,
% 190.69/191.35 ! [V_n_2,V_m_2,V_Pa_2] :
% 190.69/191.35 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 190.69/191.35 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 190.69/191.35 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 190.69/191.35 | ? [B_q] :
% 190.69/191.35 ( 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))
% 190.69/191.35 & 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))))
% 190.69/191.35 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_number__of1,axiom,
% 190.69/191.35 ! [V_n] :
% 190.69/191.35 ( 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)))
% 190.69/191.35 => ( 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))))
% 190.69/191.35 & 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)))) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_le__divide__eq,axiom,
% 190.69/191.35 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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))) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__le__eq,axiom,
% 190.69/191.35 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => 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))) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => 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)) )
% 190.69/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_pos__le__divide__eq,axiom,
% 190.69/191.35 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_b)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> 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)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_pos__divide__le__eq,axiom,
% 190.69/191.35 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_b)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_mult__imp__div__pos__le,axiom,
% 190.69/191.35 ! [V_z,V_x,V_y,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.35 => ( 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)))
% 190.69/191.35 => 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)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_times__divide__times__eq,axiom,
% 190.69/191.35 ! [V_w,V_z,V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.69/191.35 => 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)) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_zero__le__divide__iff,axiom,
% 190.69/191.35 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 190.69/191.35 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__le__0__iff,axiom,
% 190.69/191.35 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 190.69/191.35 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__right__mono,axiom,
% 190.69/191.35 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__right__mono__neg,axiom,
% 190.69/191.35 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_zero__less__divide__iff,axiom,
% 190.69/191.35 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 190.69/191.35 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__less__0__iff,axiom,
% 190.69/191.35 ! [V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 190.69/191.35 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__pos__pos,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__pos__neg,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__neg__pos,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__neg__neg,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__strict__right__mono,axiom,
% 190.69/191.35 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__strict__right__mono__neg,axiom,
% 190.69/191.35 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_eq__divide__eq,axiom,
% 190.69/191.35 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 190.69/191.35 ( class_Fields_Ofield__inverse__zero(T_b)
% 190.69/191.35 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 190.69/191.35 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 190.69/191.35 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__eq__eq,axiom,
% 190.69/191.35 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 190.69/191.35 ( class_Fields_Ofield__inverse__zero(T_b)
% 190.69/191.35 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 190.69/191.35 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 190.69/191.35 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_mult__divide__mult__cancel__right,axiom,
% 190.69/191.35 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.35 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.69/191.35 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.35 => 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) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_mult__divide__mult__cancel__left,axiom,
% 190.69/191.35 ! [V_b,V_a,V_c,T_a] :
% 190.69/191.35 ( class_Fields_Ofield__inverse__zero(T_a)
% 190.69/191.35 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 190.69/191.35 => 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) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_frac__eq__eq,axiom,
% 190.69/191.35 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 190.69/191.35 ( class_Fields_Ofield(T_b)
% 190.69/191.35 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 190.69/191.35 => ( 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)
% 190.69/191.35 <=> 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) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__nonneg__pos,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__nonneg__neg,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_frac__less2,axiom,
% 190.69/191.35 ! [V_z,V_w,V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 190.69/191.35 => 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))) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_frac__less,axiom,
% 190.69/191.35 ! [V_z,V_w,V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 190.69/191.35 => 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))) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_frac__le,axiom,
% 190.69/191.35 ! [V_z,V_w,V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 190.69/191.35 => 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))) ) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__nonpos__pos,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__nonpos__neg,axiom,
% 190.69/191.35 ! [V_y,V_x,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__strict__left__mono__neg,axiom,
% 190.69/191.35 ! [V_c,V_b,V_a,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 190.69/191.35 => ( 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)))
% 190.69/191.35 => 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))) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__strict__left__mono,axiom,
% 190.69/191.35 ! [V_c,V_a,V_b,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 190.69/191.35 => ( 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)))
% 190.69/191.35 => 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))) ) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_neg__divide__less__eq,axiom,
% 190.69/191.35 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_b)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> 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)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_neg__less__divide__eq,axiom,
% 190.69/191.35 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_b)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_mult__imp__less__div__pos,axiom,
% 190.69/191.35 ! [V_x,V_z,V_y,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.35 => ( 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))
% 190.69/191.35 => 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_mult__imp__div__pos__less,axiom,
% 190.69/191.35 ! [V_z,V_x,V_y,T_a] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_a)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 190.69/191.35 => ( 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)))
% 190.69/191.35 => 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)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_pos__divide__less__eq,axiom,
% 190.69/191.35 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_b)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> 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))) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_pos__less__divide__eq,axiom,
% 190.69/191.35 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field(T_b)
% 190.69/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 190.69/191.35 => ( 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)))
% 190.69/191.35 <=> 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)) ) ) ) ).
% 190.69/191.35
% 190.69/191.35 fof(fact_divide__less__eq,axiom,
% 190.69/191.35 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 190.69/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 190.69/191.35 => ( 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))
% 190.69/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.00/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__divide__eq,axiom,
% 191.00/191.35 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 191.00/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.00/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__frac__eq,axiom,
% 191.00/191.35 ! [V_w,V_x,V_z,V_y,T_a] :
% 191.00/191.35 ( class_Fields_Ofield(T_a)
% 191.00/191.35 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_divide__add__eq__iff,axiom,
% 191.00/191.35 ! [V_y,V_x,V_z,T_a] :
% 191.00/191.35 ( class_Fields_Ofield(T_a)
% 191.00/191.35 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__frac__num,axiom,
% 191.00/191.35 ! [V_z,V_x,V_y,T_a] :
% 191.00/191.35 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.00/191.35 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__divide__eq__iff,axiom,
% 191.00/191.35 ! [V_y,V_x,V_z,T_a] :
% 191.00/191.35 ( class_Fields_Ofield(T_a)
% 191.00/191.35 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__num__frac,axiom,
% 191.00/191.35 ! [V_x,V_z,V_y,T_a] :
% 191.00/191.35 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.00/191.35 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_y) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_diff__frac__eq,axiom,
% 191.00/191.35 ! [V_w,V_x,V_z,V_y,T_a] :
% 191.00/191.35 ( class_Fields_Ofield(T_a)
% 191.00/191.35 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_w),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_w),V_y))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_z)) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_divide__diff__eq__iff,axiom,
% 191.00/191.35 ! [V_y,V_x,V_z,T_a] :
% 191.00/191.35 ( class_Fields_Ofield(T_a)
% 191.00/191.35 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),V_y) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y))),V_z) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_diff__divide__eq__iff,axiom,
% 191.00/191.35 ! [V_y,V_x,V_z,T_a] :
% 191.00/191.35 ( class_Fields_Ofield(T_a)
% 191.00/191.35 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_z)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_x)),V_y)),V_z) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__half__sum,axiom,
% 191.00/191.35 ! [V_b,V_a,T_a] :
% 191.00/191.35 ( class_Fields_Olinordered__field(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))))) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_gt__half__sum,axiom,
% 191.00/191.35 ! [V_b,V_a,T_a] :
% 191.00/191.35 ( class_Fields_Olinordered__field(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))),V_b)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_divide__left__mono__neg,axiom,
% 191.00/191.35 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.35 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_divide__left__mono,axiom,
% 191.00/191.35 ! [V_c,V_a,V_b,T_a] :
% 191.00/191.35 ( class_Fields_Olinordered__field(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_neg__divide__le__eq,axiom,
% 191.00/191.35 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.00/191.35 ( class_Fields_Olinordered__field(T_b)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),V_b_2)) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_neg__le__divide__eq,axiom,
% 191.00/191.35 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.00/191.35 ( class_Fields_Olinordered__field(T_b)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2))) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_mult__imp__le__div__pos,axiom,
% 191.00/191.35 ! [V_x,V_z,V_y,T_a] :
% 191.00/191.35 ( class_Fields_Olinordered__field(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_neg__zdiv__mult__2,axiom,
% 191.00/191.35 ! [V_b,V_a] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_pos__zdiv__mult__2,axiom,
% 191.00/191.35 ! [V_b,V_a] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.35 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_setprod__Un,axiom,
% 191.00/191.35 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.00/191.35 ( class_Fields_Ofield(T_c)
% 191.00/191.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.35 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.35 => ( ! [B_x] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.00/191.35 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 191.00/191.35 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 191.00/191.35 ! [V_n] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_odd__power__less__zero,axiom,
% 191.00/191.35 ! [V_n,V_a,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 191.00/191.35 ! [V_n,V_a,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Pls__def,axiom,
% 191.00/191.35 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I19_J,axiom,
% 191.00/191.35 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I2_J,axiom,
% 191.00/191.35 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I39_J,axiom,
% 191.00/191.35 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I46_J,axiom,
% 191.00/191.35 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__Pls__right,axiom,
% 191.00/191.35 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__Pls,axiom,
% 191.00/191.35 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Bit0__Pls,axiom,
% 191.00/191.35 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I38_J,axiom,
% 191.00/191.35 ! [V_l_2] :
% 191.00/191.35 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 191.00/191.35 <=> c_Int_OPls = V_l_2 ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I44_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 191.00/191.35 <=> V_k_2 = c_Int_OPls ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_mult__Pls,axiom,
% 191.00/191.35 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 191.00/191.35
% 191.00/191.35 fof(fact_diff__bin__simps_I1_J,axiom,
% 191.00/191.35 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 191.00/191.35
% 191.00/191.35 fof(fact_semiring__norm_I112_J,axiom,
% 191.00/191.35 ! [T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_number__of__Pls,axiom,
% 191.00/191.35 ! [T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__numeral__0,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)),V_a) = V_a ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__numeral__0__right,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = V_a ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_bin__less__0__simps_I1_J,axiom,
% 191.00/191.35 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__number__of__Pls,axiom,
% 191.00/191.35 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_semiring__norm_I113_J,axiom,
% 191.00/191.35 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_zero__is__num__zero,axiom,
% 191.00/191.35 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I22_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I12_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I21_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I27_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I10_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I4_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_diff__bin__simps_I3_J,axiom,
% 191.00/191.35 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),V_l)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_not__neg__number__of__Pls,axiom,
% 191.00/191.35 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_succ__Pls,axiom,
% 191.00/191.35 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_mult__numeral__1__right,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_mult__numeral__1,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))),V_a) = V_a ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_divide__Numeral0,axiom,
% 191.00/191.35 ! [V_x,T_a] :
% 191.00/191.35 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.00/191.35 & class_Int_Onumber__ring(T_a) )
% 191.00/191.35 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_semiring__norm_I110_J,axiom,
% 191.00/191.35 ! [T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_numeral__1__eq__1,axiom,
% 191.00/191.35 ! [T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_eq__number__of__0,axiom,
% 191.00/191.35 ! [V_v_2] :
% 191.00/191.35 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_eq__0__number__of,axiom,
% 191.00/191.35 ! [V_v_2] :
% 191.00/191.35 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_number__of2,axiom,
% 191.00/191.35 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I29_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_rel__simps_I5_J,axiom,
% 191.00/191.35 ! [V_k_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__nat__number__of,axiom,
% 191.00/191.35 ! [V_v_H_2,V_v_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 191.00/191.35 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 191.00/191.35 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_divide__Numeral1,axiom,
% 191.00/191.35 ! [V_x,T_a] :
% 191.00/191.35 ( ( class_Fields_Ofield(T_a)
% 191.00/191.35 & class_Int_Onumber__ring(T_a) )
% 191.00/191.35 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_x ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_divide__numeral__1,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( ( class_Fields_Ofield(T_a)
% 191.00/191.35 & class_Int_Onumber__ring(T_a) )
% 191.00/191.35 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) = V_a ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_le__nat__number__of,axiom,
% 191.00/191.35 ! [V_v_H_2,V_v_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 191.00/191.35 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_one__is__num__one,axiom,
% 191.00/191.35 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Numeral1__eq1__nat,axiom,
% 191.00/191.35 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__numeral__1__eq__1,axiom,
% 191.00/191.35 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_le__special_I1_J,axiom,
% 191.00/191.35 ! [V_y_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_le__special_I3_J,axiom,
% 191.00/191.35 ! [V_x_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__special_I1_J,axiom,
% 191.00/191.35 ! [V_y_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__special_I3_J,axiom,
% 191.00/191.35 ! [V_x_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__0__number__of,axiom,
% 191.00/191.35 ! [V_v_2] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_numeral__3__eq__3,axiom,
% 191.00/191.35 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_numeral__1__eq__Suc__0,axiom,
% 191.00/191.35 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power3__eq__cube,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Groups_Omonoid__mult(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 191.00/191.35 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Suc3__eq__add__3,axiom,
% 191.00/191.35 ! [V_n] : hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__nat__number__of,axiom,
% 191.00/191.35 ! [V_v_H,V_v] :
% 191.00/191.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H)) ) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Nats__number__of,axiom,
% 191.00/191.35 ! [V_w_2,T_b] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_le__special_I4_J,axiom,
% 191.00/191.35 ! [V_x_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_le__special_I2_J,axiom,
% 191.00/191.35 ! [V_y_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__special_I4_J,axiom,
% 191.00/191.35 ! [V_x_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),c_Groups_Oone__class_Oone(T_b)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__special_I2_J,axiom,
% 191.00/191.35 ! [V_y_2,T_b] :
% 191.00/191.35 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.35 & class_Rings_Olinordered__idom(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_mult__2,axiom,
% 191.00/191.35 ! [V_z,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_mult__2__right,axiom,
% 191.00/191.35 ! [V_z,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_z),V_z) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__special_I3_J,axiom,
% 191.00/191.35 ! [V_v,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),c_Int_OBit1(c_Int_OPls))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__special_I2_J,axiom,
% 191.00/191.35 ! [V_w,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_w)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_one__add__one__is__two,axiom,
% 191.00/191.35 ! [T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_zero__power2,axiom,
% 191.00/191.35 ! [T_a] :
% 191.00/191.35 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_zero__eq__power2,axiom,
% 191.00/191.35 ! [V_a_2,T_b] :
% 191.00/191.35 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.00/191.35 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.35 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_semiring__norm_I115_J,axiom,
% 191.00/191.35 hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_numeral__2__eq__2,axiom,
% 191.00/191.35 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 191.00/191.35 ! [V_m,V_n] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls)),V_n))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__eq__square,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Groups_Omonoid__mult(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 191.00/191.35 ! [V_x,T_a] :
% 191.00/191.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 191.00/191.35 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__2__eq__Suc_H,axiom,
% 191.00/191.35 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__2__eq__Suc,axiom,
% 191.00/191.35 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_one__power2,axiom,
% 191.00/191.35 ! [T_a] :
% 191.00/191.35 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_mult__nat__number__of,axiom,
% 191.00/191.35 ! [V_v_H,V_v] :
% 191.00/191.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__number__of__mult__left,axiom,
% 191.00/191.35 ! [V_k,V_v_H,V_v] :
% 191.00/191.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__mult__2,axiom,
% 191.00/191.35 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_z) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__mult__2__right,axiom,
% 191.00/191.35 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_z),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_z),V_z) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power__even__eq,axiom,
% 191.00/191.35 ! [V_n,V_a,T_a] :
% 191.00/191.35 ( class_Groups_Omonoid__mult(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__1__add__1,axiom,
% 191.00/191.35 hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_div__Suc__eq__div__add3,axiom,
% 191.00/191.35 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Suc__div__eq__add3__div,axiom,
% 191.00/191.35 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 191.00/191.35 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_div2__Suc__Suc,axiom,
% 191.00/191.35 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_add__self__div__2,axiom,
% 191.00/191.35 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__number__of__add__1,axiom,
% 191.00/191.35 ! [V_v] :
% 191.00/191.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_nat__1__add__number__of,axiom,
% 191.00/191.35 ! [V_v] :
% 191.00/191.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.35 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_half__gt__zero,axiom,
% 191.00/191.35 ! [V_r,T_a] :
% 191.00/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.00/191.35 & class_Int_Onumber__ring(T_a) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_half__gt__zero__iff,axiom,
% 191.00/191.35 ! [V_r_2,T_b] :
% 191.00/191.35 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.00/191.35 & class_Int_Onumber__ring(T_b) )
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.00/191.35 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__eq__imp__eq,axiom,
% 191.00/191.35 ! [V_y,V_x,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.35 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.00/191.35 => V_x = V_y ) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__le__imp__le,axiom,
% 191.00/191.35 ! [V_y,V_x,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_zero__le__power2,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__less__0,axiom,
% 191.00/191.35 ! [V_a,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.35 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_zero__less__power2,axiom,
% 191.00/191.35 ! [V_a_2,T_b] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.00/191.35 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_sum__power2__eq__zero__iff,axiom,
% 191.00/191.35 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.35 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.35 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.35 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__eq__square__number__of,axiom,
% 191.00/191.35 ! [V_w,T_b] :
% 191.00/191.35 ( ( class_Groups_Omonoid__mult(T_b)
% 191.00/191.35 & class_Int_Onumber(T_b) )
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_less__2__cases,axiom,
% 191.00/191.35 ! [V_n] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))
% 191.00/191.35 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.35 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 191.00/191.35 ! [V_n,V_x,T_a] :
% 191.00/191.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__less__imp__less,axiom,
% 191.00/191.35 ! [V_y,V_x,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_sum__power2__le__zero__iff,axiom,
% 191.00/191.35 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.35 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.35 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_sum__power2__ge__zero,axiom,
% 191.00/191.35 ! [V_y,V_x,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_not__sum__power2__lt__zero,axiom,
% 191.00/191.35 ! [V_y,V_x,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.35 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_sum__power2__gt__zero__iff,axiom,
% 191.00/191.35 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.35 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 191.00/191.35 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.35 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__sum,axiom,
% 191.00/191.35 ! [V_y,V_x,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_zero__le__even__power_H,axiom,
% 191.00/191.35 ! [V_n,V_a,T_a] :
% 191.00/191.35 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power__odd__eq,axiom,
% 191.00/191.35 ! [V_n,V_a,T_a] :
% 191.00/191.35 ( class_Groups_Omonoid__mult(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 191.00/191.35 ! [V_n,V_x,T_a] :
% 191.00/191.35 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_div__2__gt__zero,axiom,
% 191.00/191.35 ! [V_n] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power2__diff,axiom,
% 191.00/191.35 ! [V_y,V_x,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_zmod__number__of__Bit1,axiom,
% 191.00/191.35 ! [V_v,V_w] :
% 191.00/191.35 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.35 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 191.00/191.35 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.35 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_neg__zmod__mult__2,axiom,
% 191.00/191.35 ! [V_b,V_a] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.35 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_a))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_pos__zmod__mult__2,axiom,
% 191.00/191.35 ! [V_b,V_a] :
% 191.00/191.35 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.35 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_a)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_a))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power__m1__odd,axiom,
% 191.00/191.35 ! [V_n,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power__m1__even,axiom,
% 191.00/191.35 ! [V_n,T_a] :
% 191.00/191.35 ( class_Int_Onumber__ring(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_power__minus1__odd,axiom,
% 191.00/191.35 ! [V_n,T_a] :
% 191.00/191.35 ( class_Rings_Oring__1(T_a)
% 191.00/191.35 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_ComplI,axiom,
% 191.00/191.35 ! [V_A_2,V_c_2,T_b] :
% 191.00/191.35 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.00/191.35 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 191.00/191.35
% 191.00/191.35 fof(fact_inj__uminus,axiom,
% 191.00/191.35 ! [V_A_2,T_b] :
% 191.00/191.35 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__Min,axiom,
% 191.00/191.36 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_divide__minus1,axiom,
% 191.00/191.36 ! [V_x,T_a] :
% 191.00/191.36 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.00/191.36 & class_Int_Onumber__ring(T_a) )
% 191.00/191.36 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__minus1__right,axiom,
% 191.00/191.36 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zminus2__eq__if,axiom,
% 191.00/191.36 ! [V_b,V_a] :
% 191.00/191.36 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.36 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zminus1__eq__if,axiom,
% 191.00/191.36 ! [V_b,V_a] :
% 191.00/191.36 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.36 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zminus2__not__zero,axiom,
% 191.00/191.36 ! [V_l,V_k] :
% 191.00/191.36 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zminus1__not__zero,axiom,
% 191.00/191.36 ! [V_l,V_k] :
% 191.00/191.36 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k),V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__minus__cong,axiom,
% 191.00/191.36 ! [V_a_H,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Oring__div(T_a)
% 191.00/191.36 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a_H),V_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mod__trivial,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,c_Divides_Odiv__class_Omod(T_a,V_a,V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zminus__zmod,axiom,
% 191.00/191.36 ! [V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_x),V_m) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zminus__zminus,axiom,
% 191.00/191.36 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__minus__eq,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Oring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zminus2,axiom,
% 191.00/191.36 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),V_b)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mult__Min,axiom,
% 191.00/191.36 ! [V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OMin),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__equal__iff__equal,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_b)
% 191.00/191.36 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.00/191.36 <=> V_a_2 = V_b_2 ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__equation__iff,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_b)
% 191.00/191.36 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 191.00/191.36 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_equation__minus__iff,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_b)
% 191.00/191.36 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.00/191.36 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__minus,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_compl__eq__compl__iff,axiom,
% 191.00/191.36 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_b)
% 191.00/191.36 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 191.00/191.36 <=> V_x_2 = V_y_2 ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_uminus__apply,axiom,
% 191.00/191.36 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.00/191.36 ( class_Groups_Ouminus(T_b)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_double__compl,axiom,
% 191.00/191.36 ! [V_x,T_a] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_fun__Compl__def,axiom,
% 191.00/191.36 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.00/191.36 ( class_Groups_Ouminus(T_b)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Int_OMin__def,axiom,
% 191.00/191.36 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_arith__simps_I30_J,axiom,
% 191.00/191.36 ! [V_w,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_number__of__minus,axiom,
% 191.00/191.36 ! [V_w,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_arith__simps_I31_J,axiom,
% 191.00/191.36 ! [T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_number__of__Min,axiom,
% 191.00/191.36 ! [T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__number__of__mult,axiom,
% 191.00/191.36 ! [V_z,V_w,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),V_z) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))),V_z) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mult__minus1__right,axiom,
% 191.00/191.36 ! [V_z,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mult__minus1,axiom,
% 191.00/191.36 ! [V_z,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_z) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_z) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__minus1__right,axiom,
% 191.00/191.36 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__0,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__by__0,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__self,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__add__self2,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__add__self1,axiom,
% 191.00/191.36 ! [V_a,V_b,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__add__right__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__add__left__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__add__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__simps_I2_J,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__simps_I1_J,axiom,
% 191.00/191.36 ! [V_b,V_c,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__add__cong,axiom,
% 191.00/191.36 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.00/191.36 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__right__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__left__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__mult1,axiom,
% 191.00/191.36 ! [V_b,V_a,V_c,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__mult2,axiom,
% 191.00/191.36 ! [V_b,V_c,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__simps_I4_J,axiom,
% 191.00/191.36 ! [V_b,V_c,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__cong,axiom,
% 191.00/191.36 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.00/191.36 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__diff__right__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Oring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__diff__left__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Oring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),V_b),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__diff__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Oring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_c)),c_Divides_Odiv__class_Omod(T_a,V_b,V_c)),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__diff__cong,axiom,
% 191.00/191.36 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Oring__div(T_a)
% 191.00/191.36 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.00/191.36 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a_H),V_b_H),V_c) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_le__imp__neg__le,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__le__iff__le,axiom,
% 191.00/191.36 ! [V_a_2,V_b_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__le__iff,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_le__minus__iff,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_compl__mono,axiom,
% 191.00/191.36 ! [V_y,V_x,T_a] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_a)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_compl__le__compl__iff,axiom,
% 191.00/191.36 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__zero,axiom,
% 191.00/191.36 ! [T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__0__equal__iff__equal,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_b)
% 191.00/191.36 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 191.00/191.36 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_equal__neg__zero,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.00/191.36 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 191.00/191.36 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__equal__0__iff__equal,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_b)
% 191.00/191.36 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.36 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__equal__zero,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.00/191.36 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 191.00/191.36 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__less__iff__less,axiom,
% 191.00/191.36 ! [V_a_2,V_b_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__less__iff,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_less__minus__iff,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__add__distrib,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Oab__group__add(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__add,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_add__minus__cancel,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) = V_b ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__add__cancel,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)) = V_b ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_square__eq__iff,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Rings_Oidom(T_b)
% 191.00/191.36 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_a_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 191.00/191.36 <=> ( V_a_2 = V_b_2
% 191.00/191.36 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__mult__minus,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Rings_Oring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__mult__commute,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Rings_Oring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__mult__left,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Rings_Oring(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__mult__right,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Rings_Oring(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_ComplE,axiom,
% 191.00/191.36 ! [V_A_2,V_c_2,T_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 191.00/191.36 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_ComplD,axiom,
% 191.00/191.36 ! [V_A_2,V_c_2,T_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 191.00/191.36 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__iff,axiom,
% 191.00/191.36 ! [V_A_2,V_c_2,T_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 191.00/191.36 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__diff__eq,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Oab__group__add(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__self,axiom,
% 191.00/191.36 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zero,axiom,
% 191.00/191.36 ! [V_b] : c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__anti__mono,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__subset__Compl__iff,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zminus__0,axiom,
% 191.00/191.36 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I24_J,axiom,
% 191.00/191.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I7_J,axiom,
% 191.00/191.36 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__divide__divide,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__divide__right,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__divide__left,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Rings_Odivision__ring(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zmult1__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__simps_I3_J,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c)),V_c) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I37_J,axiom,
% 191.00/191.36 c_Int_OPls != c_Int_OMin ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I40_J,axiom,
% 191.00/191.36 c_Int_OMin != c_Int_OPls ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I47_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 191.00/191.36 <=> V_k_2 = c_Int_OMin ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I43_J,axiom,
% 191.00/191.36 ! [V_l_2] :
% 191.00/191.36 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 191.00/191.36 <=> c_Int_OMin = V_l_2 ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Bit1__Min,axiom,
% 191.00/191.36 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__Pls,axiom,
% 191.00/191.36 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zminus__zadd__distrib,axiom,
% 191.00/191.36 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__numeral__code_I5_J,axiom,
% 191.00/191.36 ! [V_w] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I45_J,axiom,
% 191.00/191.36 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I42_J,axiom,
% 191.00/191.36 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__Bit0,axiom,
% 191.00/191.36 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit0(V_k)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiff__zmod__right,axiom,
% 191.00/191.36 ! [V_m,V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_y,V_m)),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiff__zmod__left,axiom,
% 191.00/191.36 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y),V_m) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmult__zminus,axiom,
% 191.00/191.36 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zminus__zminus,axiom,
% 191.00/191.36 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zminus2,axiom,
% 191.00/191.36 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zpower__zmod,axiom,
% 191.00/191.36 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus1__divide,axiom,
% 191.00/191.36 ! [V_x,T_a] :
% 191.00/191.36 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.00/191.36 & class_Int_Onumber__ring(T_a) )
% 191.00/191.36 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_x)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__self2__is__0,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__self1__is__0,axiom,
% 191.00/191.36 ! [V_a,V_b,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__self2,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__self1,axiom,
% 191.00/191.36 ! [V_b,V_c,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)),V_b) = c_Divides_Odiv__class_Omod(T_a,V_a,V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__by__1,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__div__trivial,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__0__le__iff__le,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_le__minus__self__iff,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__le__0__iff__le,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__le__self__iff,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__less__nonneg,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__less__0__iff__less,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__0__less__iff__less,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_less__minus__self__iff,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_right__minus,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 191.00/191.36 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_b)
% 191.00/191.36 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.00/191.36 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_left__minus,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_ab__left__minus,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Groups_Oab__group__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__unique,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__0,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zminus2__eq__if,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 191.00/191.36 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zminus1__eq__if,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 191.00/191.36 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__def,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_ab__diff__minus,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Oab__group__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 191.00/191.36 ! [V_y,V_x,T_a] :
% 191.00/191.36 ( class_Rings_Ocomm__ring__1(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__minus__eq__add,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Groups_Ogroup__add(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 191.00/191.36 ! [V_x,T_a] :
% 191.00/191.36 ( class_Rings_Ocomm__ring__1(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_x) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_square__eq__1__iff,axiom,
% 191.00/191.36 ! [V_x_2,T_b] :
% 191.00/191.36 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.00/191.36 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 191.00/191.36 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 191.00/191.36 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_inf__compl__bot,axiom,
% 191.00/191.36 ! [V_x,T_a] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_compl__inf__bot,axiom,
% 191.00/191.36 ! [V_x,T_a] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__eq,axiom,
% 191.00/191.36 ! [V_y,V_x,T_a] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_compl__sup,axiom,
% 191.00/191.36 ! [V_y,V_x,T_a] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_compl__inf,axiom,
% 191.00/191.36 ! [V_y,V_x,T_a] :
% 191.00/191.36 ( class_Lattices_Oboolean__algebra(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nonzero__minus__divide__right,axiom,
% 191.00/191.36 ! [V_a,V_b,T_a] :
% 191.00/191.36 ( class_Rings_Odivision__ring(T_a)
% 191.00/191.36 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.36 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nonzero__minus__divide__divide,axiom,
% 191.00/191.36 ! [V_a,V_b,T_a] :
% 191.00/191.36 ( class_Rings_Odivision__ring(T_a)
% 191.00/191.36 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_subset__Compl__self__eq,axiom,
% 191.00/191.36 ! [V_A_2,T_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 191.00/191.36 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__le__nonneg__dividend,axiom,
% 191.00/191.36 ! [V_k,V_m] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_k)),V_m)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 191.00/191.36 ! [V_y,V_x] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__mod__bound,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pos__mod__bound,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__disjoint,axiom,
% 191.00/191.36 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__disjoint2,axiom,
% 191.00/191.36 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__eq__0__iff,axiom,
% 191.00/191.36 ! [V_d_2,V_m_2] :
% 191.00/191.36 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__Un,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__Int,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_bin__less__0__simps_I2_J,axiom,
% 191.00/191.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zadd__zminus__inverse2,axiom,
% 191.00/191.36 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__Diff__eq,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Diff__eq,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Diff__Compl,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_DIVISION__BY__ZERO,axiom,
% 191.00/191.36 ! [V_a] :
% 191.00/191.36 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zdiv__trivial,axiom,
% 191.00/191.36 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I20_J,axiom,
% 191.00/191.36 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I23_J,axiom,
% 191.00/191.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I30_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I26_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I6_J,axiom,
% 191.00/191.36 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I3_J,axiom,
% 191.00/191.36 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I9_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I13_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I28_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I8_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_eq__number__of__Pls__Min,axiom,
% 191.00/191.36 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zadd1__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__int__def__symmetric,axiom,
% 191.00/191.36 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__int__def,axiom,
% 191.00/191.36 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Ints__minus,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Rings_Oring__1(T_b)
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__number__of__Min,axiom,
% 191.00/191.36 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_succ__Min,axiom,
% 191.00/191.36 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__minus1,axiom,
% 191.00/191.36 ! [V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__bin__simps_I2_J,axiom,
% 191.00/191.36 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__div__equality2,axiom,
% 191.00/191.36 ! [V_a,V_b,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__div__equality,axiom,
% 191.00/191.36 ! [V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_div__mod__equality2,axiom,
% 191.00/191.36 ! [V_c,V_a,V_b,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_div__mod__equality,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.36 ( class_Divides_Osemiring__div(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_power__minus,axiom,
% 191.00/191.36 ! [V_n,V_a,T_a] :
% 191.00/191.36 ( class_Rings_Oring__1(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__neg__neg__trivial,axiom,
% 191.00/191.36 ! [V_b,V_a] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__mod__conj,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__mod__sign,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__pos__pos__trivial,axiom,
% 191.00/191.36 ! [V_b,V_a] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pos__mod__conj,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)),V_b)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pos__mod__sign,axiom,
% 191.00/191.36 ! [V_a,V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_disjoint__eq__subset__Compl,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.36 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__number__of__eq,axiom,
% 191.00/191.36 ! [V_w,V_v,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I25_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_rel__simps_I11_J,axiom,
% 191.00/191.36 ! [V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zdiv__equality,axiom,
% 191.00/191.36 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zmult1__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zmod__equality,axiom,
% 191.00/191.36 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zdiv__zmod__equality2,axiom,
% 191.00/191.36 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__bin__simps_I4_J,axiom,
% 191.00/191.36 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmult__eq__1__iff,axiom,
% 191.00/191.36 ! [V_n_2,V_m_2] :
% 191.00/191.36 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.00/191.36 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.00/191.36 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 191.00/191.36 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 191.00/191.36 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 191.00/191.36 ! [V_n,V_m] :
% 191.00/191.36 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.00/191.36 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.00/191.36 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__bin__simps_I6_J,axiom,
% 191.00/191.36 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__bin__simps_I5_J,axiom,
% 191.00/191.36 ! [V_l] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OMin),V_l)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__numeral__code_I6_J,axiom,
% 191.00/191.36 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmult__div__cancel,axiom,
% 191.00/191.36 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zdiv__equality_H,axiom,
% 191.00/191.36 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_add__number__of__diff2,axiom,
% 191.00/191.36 ! [V_w,V_c,V_v,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_c),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)))),V_c) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__pos__neg__trivial,axiom,
% 191.00/191.36 ! [V_b,V_a] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_div__eq__minus1,axiom,
% 191.00/191.36 ! [V_b] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.36 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_split__zmod,axiom,
% 191.00/191.36 ! [V_k_2,V_n_2,V_Pa_2] :
% 191.00/191.36 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 191.00/191.36 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 191.00/191.36 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.00/191.36 => ! [B_i,B_j] :
% 191.00/191.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.00/191.36 & 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) )
% 191.00/191.36 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 191.00/191.36 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => ! [B_i,B_j] :
% 191.00/191.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 & 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) )
% 191.00/191.36 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmult2__lemma__aux3,axiom,
% 191.00/191.36 ! [V_q,V_b,V_r,V_c] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmult2__lemma__aux4,axiom,
% 191.00/191.36 ! [V_q,V_b,V_r,V_c] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c))) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmult2__lemma__aux1,axiom,
% 191.00/191.36 ! [V_q,V_r,V_b,V_c] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r))) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmult2__lemma__aux2,axiom,
% 191.00/191.36 ! [V_q,V_r,V_b,V_c] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_divmod__int__rel__mod__eq,axiom,
% 191.00/191.36 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 191.00/191.36 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_q_1)),V_y)
% 191.00/191.36 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 191.00/191.36 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.00/191.36 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_power2__minus,axiom,
% 191.00/191.36 ! [V_a,T_a] :
% 191.00/191.36 ( class_Rings_Oring__1(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__number__of__Bit0,axiom,
% 191.00/191.36 ! [V_w,V_v] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zmod__zmult2__eq,axiom,
% 191.00/191.36 ! [V_b,V_a,V_c] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_power2__eq__1__iff,axiom,
% 191.00/191.36 ! [V_a_2,T_b] :
% 191.00/191.36 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.00/191.36 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 191.00/191.36 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 191.00/191.36 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_power__minus__even,axiom,
% 191.00/191.36 ! [V_n,V_a,T_a] :
% 191.00/191.36 ( class_Rings_Oring__1(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__special_I1_J,axiom,
% 191.00/191.36 ! [V_w,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__special_I2_J,axiom,
% 191.00/191.36 ! [V_v,T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),c_Groups_Oone__class_Oone(T_a)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_split__pos__lemma,axiom,
% 191.00/191.36 ! [V_n_2,V_Pa_2,V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.00/191.36 => ( 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)))
% 191.00/191.36 <=> ! [B_i,B_j] :
% 191.00/191.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.00/191.36 & 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) )
% 191.00/191.36 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_split__neg__lemma,axiom,
% 191.00/191.36 ! [V_n_2,V_Pa_2,V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => ( 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)))
% 191.00/191.36 <=> ! [B_i,B_j] :
% 191.00/191.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 & 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) )
% 191.00/191.36 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_div__pos__neg__trivial,axiom,
% 191.00/191.36 ! [V_b,V_a] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_power__minus1__even,axiom,
% 191.00/191.36 ! [V_n,T_a] :
% 191.00/191.36 ( class_Rings_Oring__1(T_a)
% 191.00/191.36 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_eq__special_I4_J,axiom,
% 191.00/191.36 ! [V_x_2,T_b] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_b)
% 191.00/191.36 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 191.00/191.36 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls))))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_eq__special_I2_J,axiom,
% 191.00/191.36 ! [V_y_2,T_b] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_b)
% 191.00/191.36 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.00/191.36 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_diff__nat__number__of,axiom,
% 191.00/191.36 ! [V_v_2,V_v_H_2] :
% 191.00/191.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) )
% 191.00/191.36 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__number__of__diff__1,axiom,
% 191.00/191.36 ! [V_v] :
% 191.00/191.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.00/191.36 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 191.00/191.36 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_one__code__numeral__code,axiom,
% 191.00/191.36 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OPls)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_one__div__nat__number__of,axiom,
% 191.00/191.36 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zminus__zminus,axiom,
% 191.00/191.36 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Compl__eq__Compl__iff,axiom,
% 191.00/191.36 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.36 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 191.00/191.36 <=> V_A_2 = V_B_2 ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_double__complement,axiom,
% 191.00/191.36 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 191.00/191.36 c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_code__numeral__zero__minus__one,axiom,
% 191.00/191.36 hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 191.00/191.36 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__less,axiom,
% 191.00/191.36 ! [V_n,V_m] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__less__eq__dividend,axiom,
% 191.00/191.36 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__distrib,axiom,
% 191.00/191.36 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__distrib2,axiom,
% 191.00/191.36 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 191.00/191.36 ! [V_y,V_x] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__mod__distrib,axiom,
% 191.00/191.36 ! [V_y,V_x] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.36 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_minus__Bit1,axiom,
% 191.00/191.36 ! [V_k] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OBit1(V_k)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_succ__pred,axiom,
% 191.00/191.36 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 191.00/191.36
% 191.00/191.36 fof(fact_iszero__def,axiom,
% 191.00/191.36 ! [V_z_2,T_b] :
% 191.00/191.36 ( class_Rings_Osemiring__1(T_b)
% 191.00/191.36 => ( c_Int_Oiszero(T_b,V_z_2)
% 191.00/191.36 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_iszero__0,axiom,
% 191.00/191.36 ! [T_a] :
% 191.00/191.36 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.36 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__0,axiom,
% 191.00/191.36 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 191.00/191.36 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__Suc,axiom,
% 191.00/191.36 ! [V_n,V_m] :
% 191.00/191.36 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.00/191.36 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__1,axiom,
% 191.00/191.36 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_not__iszero__1,axiom,
% 191.00/191.36 ! [T_a] :
% 191.00/191.36 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.36 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__less__divisor,axiom,
% 191.00/191.36 ! [V_m,V_n] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_eq__nat__nat__iff,axiom,
% 191.00/191.36 ! [V_z_H_2,V_z_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 191.00/191.36 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 191.00/191.36 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 191.00/191.36 ! [V_y_2,V_x_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.00/191.36 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 191.00/191.36 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_all__nat,axiom,
% 191.00/191.36 ! [V_Pa_2] :
% 191.00/191.36 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.00/191.36 <=> ! [B_x] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.00/191.36 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_ex__nat,axiom,
% 191.00/191.36 ! [V_Pa_2] :
% 191.00/191.36 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.00/191.36 <=> ? [B_x] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.00/191.36 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__eq__0__iff,axiom,
% 191.00/191.36 ! [V_d_2,V_m_2] :
% 191.00/191.36 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.36 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__geq,axiom,
% 191.00/191.36 ! [V_n,V_m] :
% 191.00/191.36 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__if,axiom,
% 191.00/191.36 ! [V_n,V_m] :
% 191.00/191.36 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 191.00/191.36 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__self3,axiom,
% 191.00/191.36 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_le__mod__geq,axiom,
% 191.00/191.36 ! [V_m,V_n] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__number__of,axiom,
% 191.00/191.36 ! [V_w] : hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__number__of__def,axiom,
% 191.00/191.36 ! [V_v] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 191.00/191.36 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_neg__nat,axiom,
% 191.00/191.36 ! [V_z] :
% 191.00/191.36 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 191.00/191.36 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_div__add1__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_eq__number__of__Suc,axiom,
% 191.00/191.36 ! [V_n_2,V_v_2] :
% 191.00/191.36 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 191.00/191.36 <=> 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))))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Suc__eq__number__of,axiom,
% 191.00/191.36 ! [V_v_2,V_n_2] :
% 191.00/191.36 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 191.00/191.36 <=> 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))))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__nat__number__of,axiom,
% 191.00/191.36 ! [V_v_H,V_v] :
% 191.00/191.36 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.00/191.36 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.36 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 191.00/191.36 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__case__number__of,axiom,
% 191.00/191.36 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_le__iff__pred__less,axiom,
% 191.00/191.36 ! [V_l_2,V_k_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pred__Bit0,axiom,
% 191.00/191.36 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pred__Bit1,axiom,
% 191.00/191.36 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pred__Pls,axiom,
% 191.00/191.36 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pred__def,axiom,
% 191.00/191.36 ! [V_k] : c_Int_Opred(V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_add__Min,axiom,
% 191.00/191.36 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_add__Min__right,axiom,
% 191.00/191.36 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_pred__Min,axiom,
% 191.00/191.36 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_less__Suc__number__of,axiom,
% 191.00/191.36 ! [V_v_2,V_n_2] :
% 191.00/191.36 ( 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)))
% 191.00/191.36 <=> 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))))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_less__number__of__Suc,axiom,
% 191.00/191.36 ! [V_n_2,V_v_2] :
% 191.00/191.36 ( 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)))
% 191.00/191.36 <=> 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)))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__le__0,axiom,
% 191.00/191.36 ! [V_z] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.36 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__0__iff,axiom,
% 191.00/191.36 ! [V_i_2] :
% 191.00/191.36 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_le__number__of__Suc,axiom,
% 191.00/191.36 ! [V_n_2,V_v_2] :
% 191.00/191.36 ( 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)))
% 191.00/191.36 <=> 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)))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_le__Suc__number__of,axiom,
% 191.00/191.36 ! [V_v_2,V_n_2] :
% 191.00/191.36 ( 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)))
% 191.00/191.36 <=> 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))))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__mono__iff,axiom,
% 191.00/191.36 ! [V_w_2,V_z_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zless__nat__conj,axiom,
% 191.00/191.36 ! [V_z_2,V_w_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.00/191.36 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.00/191.36 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__le__divisor,axiom,
% 191.00/191.36 ! [V_m,V_n] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.00/191.36 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 191.00/191.36 ! [V_y_2,V_x_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__1,axiom,
% 191.00/191.36 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult__self4,axiom,
% 191.00/191.36 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__case__add__eq__if,axiom,
% 191.00/191.36 ! [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)))) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_div__mult1__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mod__mult2__eq,axiom,
% 191.00/191.36 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_Divides_Omod__div__equality_H,axiom,
% 191.00/191.36 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_mult__div__cancel,axiom,
% 191.00/191.36 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_div__mod__equality_H,axiom,
% 191.00/191.36 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_one__mod__nat__number__of,axiom,
% 191.00/191.36 ! [V_v_H] :
% 191.00/191.36 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
% 191.00/191.36 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.00/191.36 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zero__code__numeral__code,axiom,
% 191.00/191.36 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OPls) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_iszero__Numeral0,axiom,
% 191.00/191.36 ! [T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_iszero__number__of__Bit1,axiom,
% 191.00/191.36 ! [V_w,T_a] :
% 191.00/191.36 ( ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 & class_Int_Oring__char__0(T_a) )
% 191.00/191.36 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_eq__number__of__eq,axiom,
% 191.00/191.36 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_b)
% 191.00/191.36 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.00/191.36 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_iszero__number__of__Bit0,axiom,
% 191.00/191.36 ! [V_w_2,T_b] :
% 191.00/191.36 ( ( class_Int_Onumber__ring(T_b)
% 191.00/191.36 & class_Int_Oring__char__0(T_b) )
% 191.00/191.36 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 191.00/191.36 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nonzero__number__of__Min,axiom,
% 191.00/191.36 ! [T_a] :
% 191.00/191.36 ( class_Int_Onumber__ring(T_a)
% 191.00/191.36 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_zero__less__nat__eq,axiom,
% 191.00/191.36 ! [V_z_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_nat__less__eq__zless,axiom,
% 191.00/191.36 ! [V_z_2,V_w_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.00/191.36 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.00/191.36
% 191.00/191.36 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 191.00/191.36 ! [V_y_2,V_x_2] :
% 191.00/191.36 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.00/191.36 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__le__eq__zle,axiom,
% 191.00/191.37 ! [V_z_2,V_w_2] :
% 191.00/191.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.00/191.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_split__mod,axiom,
% 191.00/191.37 ! [V_k_2,V_n_2,V_Pa_2] :
% 191.00/191.37 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 191.00/191.37 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.37 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 191.00/191.37 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.37 => ! [B_i,B_j] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 191.00/191.37 => ( 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)
% 191.00/191.37 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_mod__lemma,axiom,
% 191.00/191.37 ! [V_q,V_b,V_r,V_c] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__add__distrib,axiom,
% 191.00/191.37 ! [V_z_H,V_z] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 191.00/191.37 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__mult__distrib,axiom,
% 191.00/191.37 ! [V_z_H,V_z] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.37 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__mult__distrib__neg,axiom,
% 191.00/191.37 ! [V_z_H,V_z] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.37 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__diff__distrib,axiom,
% 191.00/191.37 ! [V_z,V_z_H] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 191.00/191.37 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Suc__times__mod__eq,axiom,
% 191.00/191.37 ! [V_m,V_k] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 191.00/191.37 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 191.00/191.37 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_diff__bin__simps_I8_J,axiom,
% 191.00/191.37 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_Opred(V_k)),V_l)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.37 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__div__distrib,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.37 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 191.00/191.37 ! [V_n,V_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.37 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__power__eq,axiom,
% 191.00/191.37 ! [V_n,V_z] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.00/191.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_diff__nat__eq__if,axiom,
% 191.00/191.37 ! [V_z_2,V_z_H_2] :
% 191.00/191.37 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 191.00/191.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 191.00/191.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_one__less__nat__eq,axiom,
% 191.00/191.37 ! [V_z_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 191.00/191.37 ! [V_z] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 191.00/191.37 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 191.00/191.37 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),V_n) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 191.00/191.37 ! [V_v,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_mod2__Suc__Suc,axiom,
% 191.00/191.37 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 191.00/191.37 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_number__of__pred,axiom,
% 191.00/191.37 ! [V_w,T_a] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_a)
% 191.00/191.37 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Opred(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_not__iszero__Numeral1,axiom,
% 191.00/191.37 ! [T_a] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_a)
% 191.00/191.37 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_neg__number__of__pred__iff__0,axiom,
% 191.00/191.37 ! [V_v_2] :
% 191.00/191.37 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 191.00/191.37 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__2,axiom,
% 191.00/191.37 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_div__nat__number__of,axiom,
% 191.00/191.37 ! [V_v_H,V_v] :
% 191.00/191.37 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_power__nat__number__of__number__of,axiom,
% 191.00/191.37 ! [V_w,V_v] :
% 191.00/191.37 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_power__nat__number__of,axiom,
% 191.00/191.37 ! [V_n,V_v] :
% 191.00/191.37 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Suc__diff__number__of,axiom,
% 191.00/191.37 ! [V_m,V_v] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 191.00/191.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Opred(V_v))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_eq__special_I1_J,axiom,
% 191.00/191.37 ! [V_y_2,T_b] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_b)
% 191.00/191.37 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.00/191.37 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_eq__special_I3_J,axiom,
% 191.00/191.37 ! [V_x_2,T_b] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_b)
% 191.00/191.37 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.37 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls)))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_mod2__gr__0,axiom,
% 191.00/191.37 ! [V_m_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.00/191.37 <=> c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__of__code,axiom,
% 191.00/191.37 ! [V_k] :
% 191.00/191.37 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.00/191.37 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.37 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.00/191.37 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.00/191.37 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )
% 191.00/191.37 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.00/191.37 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__aux__def,axiom,
% 191.00/191.37 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__rec__add__eq__if,axiom,
% 191.00/191.37 ! [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))))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__rec__number__of,axiom,
% 191.00/191.37 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__morphism__nat__int,axiom,
% 191.00/191.37 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__rec__0,axiom,
% 191.00/191.37 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__rec__Suc,axiom,
% 191.00/191.37 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__of__aux__code,axiom,
% 191.00/191.37 ! [V_n,V_i] :
% 191.00/191.37 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.00/191.37 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 191.00/191.37 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.00/191.37 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__double,axiom,
% 191.00/191.37 ! [V_x,T_a] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_x))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_z3div__def,axiom,
% 191.00/191.37 ! [V_k,V_l] :
% 191.00/191.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.00/191.37 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.00/191.37 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_z3mod__def,axiom,
% 191.00/191.37 ! [V_k,V_l] :
% 191.00/191.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.00/191.37 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.00/191.37 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__Suc__number__of,axiom,
% 191.00/191.37 ! [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)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_negative__zle,axiom,
% 191.00/191.37 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_negative__zless,axiom,
% 191.00/191.37 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__diff__distrib__left,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__0R,axiom,
% 191.00/191.37 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__0L,axiom,
% 191.00/191.37 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__diff,axiom,
% 191.00/191.37 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf_Oidem,axiom,
% 191.00/191.37 ! [V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf_Ocommute,axiom,
% 191.00/191.37 ! [V_b,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__commute,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 191.00/191.37 ! [V_b,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__left__idem,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 191.00/191.37 ! [V_c,V_a,V_b,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__left__commute,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf_Oassoc,axiom,
% 191.00/191.37 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__assoc,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__eq__iff,axiom,
% 191.00/191.37 ! [V_n_2,V_m_2,T_b] :
% 191.00/191.37 ( class_Nat_Osemiring__char__0(T_b)
% 191.00/191.37 => ( 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)
% 191.00/191.37 <=> V_m_2 = V_n_2 ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_inf__nat__def,axiom,
% 191.00/191.37 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Oidem,axiom,
% 191.00/191.37 ! [V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__Suc__Suc,axiom,
% 191.00/191.37 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_inf__min,axiom,
% 191.00/191.37 ! [T_b] :
% 191.00/191.37 ( ( class_Lattices_Osemilattice__inf(T_b)
% 191.00/191.37 & class_Orderings_Olinorder(T_b) )
% 191.00/191.37 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__add__distrib__left,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oless__infI2,axiom,
% 191.00/191.37 ! [V_a,V_x,V_b,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oless__infI1,axiom,
% 191.00/191.37 ! [V_b,V_x,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__less__iff__disj,axiom,
% 191.00/191.37 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 191.00/191.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__less__iff__conj,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 191.00/191.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__infE,axiom,
% 191.00/191.37 ! [V_b,V_a,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)))
% 191.00/191.37 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.00/191.37 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__mono,axiom,
% 191.00/191.37 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__greatest,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__infI,axiom,
% 191.00/191.37 ! [V_b,V_a,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__absorb2,axiom,
% 191.00/191.37 ! [V_x,V_y,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__absorb1,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__infI2,axiom,
% 191.00/191.37 ! [V_a,V_x,V_b,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__infI1,axiom,
% 191.00/191.37 ! [V_b,V_x,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__inf__iff,axiom,
% 191.00/191.37 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.00/191.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__iff__inf,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.00/191.37 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__le2,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oinf__le1,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__le__iff__disj,axiom,
% 191.00/191.37 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.00/191.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__int,axiom,
% 191.00/191.37 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__of__mono,axiom,
% 191.00/191.37 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] :
% 191.00/191.37 ( ( class_Orderings_Olinorder(T_c)
% 191.00/191.37 & class_Orderings_Olinorder(T_b) )
% 191.00/191.37 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_m_2),V_n_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_not__neg__int,axiom,
% 191.00/191.37 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 191.00/191.37 ! [V_A_2] :
% 191.00/191.37 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 191.00/191.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 191.00/191.37 ! [T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 191.00/191.37 ! [V_A_2,V_f_2,T_b] :
% 191.00/191.37 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.37 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.00/191.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__setprod,axiom,
% 191.00/191.37 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__number__of,axiom,
% 191.00/191.37 ! [V_v,V_u,T_b] :
% 191.00/191.37 ( ( class_Int_Onumber(T_b)
% 191.00/191.37 & class_Orderings_Oord(T_b) )
% 191.00/191.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__0,axiom,
% 191.00/191.37 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__eq__0__conv,axiom,
% 191.00/191.37 ! [V_n_2] :
% 191.00/191.37 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.37 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 191.00/191.37 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zero__zle__int,axiom,
% 191.00/191.37 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 191.00/191.37 ! [V_Pa_2] :
% 191.00/191.37 ( ! [B_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.00/191.37 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.00/191.37 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 191.00/191.37 ! [V_Pa_2] :
% 191.00/191.37 ( ? [B_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.00/191.37 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.00/191.37 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 191.00/191.37 ! [V_z] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__less__0__conv,axiom,
% 191.00/191.37 ! [V_k] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zless__int,axiom,
% 191.00/191.37 ! [V_n_2,V_m_2] :
% 191.00/191.37 ( 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)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zle__int,axiom,
% 191.00/191.37 ! [V_n_2,V_m_2] :
% 191.00/191.37 ( 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)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zadd__int,axiom,
% 191.00/191.37 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zadd__int__left,axiom,
% 191.00/191.37 ! [V_z,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))),V_z) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 191.00/191.37 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_y)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zle__iff__zadd,axiom,
% 191.00/191.37 ! [V_z_2,V_w_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 191.00/191.37 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__0__le__iff,axiom,
% 191.00/191.37 ! [V_n,T_a] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zero__le__imp__of__nat,axiom,
% 191.00/191.37 ! [V_m,T_a] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_negative__eq__positive,axiom,
% 191.00/191.37 ! [V_m_2,V_n_2] :
% 191.00/191.37 ( 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)
% 191.00/191.37 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.37 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__less__0__iff,axiom,
% 191.00/191.37 ! [V_m,T_a] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.37 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_not__int__zless__negative,axiom,
% 191.00/191.37 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zmult__int,axiom,
% 191.00/191.37 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__mult,axiom,
% 191.00/191.37 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 191.00/191.37 ! [V_y,V_x] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__0,axiom,
% 191.00/191.37 ! [T_a] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__less__iff,axiom,
% 191.00/191.37 ! [V_n_2,V_m_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_b)
% 191.00/191.37 => ( 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)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_less__imp__of__nat__less,axiom,
% 191.00/191.37 ! [V_n,V_m,T_a] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__less__imp__less,axiom,
% 191.00/191.37 ! [V_n,V_m,T_a] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__1,axiom,
% 191.00/191.37 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 191.00/191.37 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__le__iff,axiom,
% 191.00/191.37 ! [V_n_2,V_m_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_b)
% 191.00/191.37 => ( 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)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__add,axiom,
% 191.00/191.37 ! [V_n,V_m,T_a] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__mult,axiom,
% 191.00/191.37 ! [V_n,V_m,T_a] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 191.00/191.37 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zmod__int,axiom,
% 191.00/191.37 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_not__neg__nat,axiom,
% 191.00/191.37 ! [V_z] :
% 191.00/191.37 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 191.00/191.37 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zdiv__int,axiom,
% 191.00/191.37 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__1,axiom,
% 191.00/191.37 ! [T_a] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 191.00/191.37 ! [V_A_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) = V_A_2 ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Ints__of__nat,axiom,
% 191.00/191.37 ! [V_n_2,T_b] :
% 191.00/191.37 ( class_Rings_Oring__1(T_b)
% 191.00/191.37 => 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))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__power,axiom,
% 191.00/191.37 ! [V_n,V_m,T_a] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zpower__int,axiom,
% 191.00/191.37 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__power,axiom,
% 191.00/191.37 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 191.00/191.37 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__in__Nats,axiom,
% 191.00/191.37 ! [V_n_2,T_b] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_b)
% 191.00/191.37 => 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))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 191.00/191.37 ! [V_y,V_x] : c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x),V_y)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 191.00/191.37 c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 191.00/191.37 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__le__0__conv,axiom,
% 191.00/191.37 ! [V_n_2] :
% 191.00/191.37 ( 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)))
% 191.00/191.37 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__Suc0__eq__1,axiom,
% 191.00/191.37 hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zless__iff__Suc__zadd,axiom,
% 191.00/191.37 ! [V_z_2,V_w_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 191.00/191.37 <=> ? [B_n] : V_z_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__0__le,axiom,
% 191.00/191.37 ! [V_z] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__eq__iff,axiom,
% 191.00/191.37 ! [V_z_2,V_m_2] :
% 191.00/191.37 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 191.00/191.37 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 191.00/191.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__nat__eq,axiom,
% 191.00/191.37 ! [V_z] :
% 191.00/191.37 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zless__nat__eq__int__zless,axiom,
% 191.00/191.37 ! [V_z_2,V_m_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)),V_z_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Omono__inf,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.00/191.37 ( ( class_Lattices_Osemilattice__inf(T_c)
% 191.00/191.37 & class_Orderings_Olinorder(T_b) )
% 191.00/191.37 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2)))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__zle__neg,axiom,
% 191.00/191.37 ! [V_m_2,V_n_2] :
% 191.00/191.37 ( 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))))
% 191.00/191.37 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.37 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__Suc,axiom,
% 191.00/191.37 ! [V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_negative__zle__0,axiom,
% 191.00/191.37 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__zminus__int,axiom,
% 191.00/191.37 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__setprod,axiom,
% 191.00/191.37 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.37 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.00/191.37 & class_Rings_Osemiring__1(T_b) )
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zdiff__int,axiom,
% 191.00/191.37 ! [V_m,V_n] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.00/191.37 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__Suc,axiom,
% 191.00/191.37 ! [V_m,T_a] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_a)
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Nat_OSuc,V_m)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_neg__zminus__int,axiom,
% 191.00/191.37 ! [V_n] : hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__diff,axiom,
% 191.00/191.37 ! [V_m,V_n,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__Suc1,axiom,
% 191.00/191.37 ! [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) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__Suc2,axiom,
% 191.00/191.37 ! [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) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zero__less__int__conv,axiom,
% 191.00/191.37 ! [V_n_2] :
% 191.00/191.37 ( 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)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__eq__iff,axiom,
% 191.00/191.37 ! [V_m_2,V_w_2] :
% 191.00/191.37 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 191.00/191.37 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.00/191.37 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.00/191.37 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__eq__iff2,axiom,
% 191.00/191.37 ! [V_w_2,V_m_2] :
% 191.00/191.37 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 191.00/191.37 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.00/191.37 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.00/191.37 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_split__nat,axiom,
% 191.00/191.37 ! [V_i_2,V_Pa_2] :
% 191.00/191.37 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 191.00/191.37 <=> ( ! [B_n] :
% 191.00/191.37 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 191.00/191.37 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 191.00/191.37 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.37 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zmult__zless__mono2__lemma,axiom,
% 191.00/191.37 ! [V_k,V_j,V_i] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_k)),V_j))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_not__zle__0__negative,axiom,
% 191.00/191.37 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_negative__zless__0,axiom,
% 191.00/191.37 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__eq__iff__number__of,axiom,
% 191.00/191.37 ! [V_v_2,V_m_2] :
% 191.00/191.37 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)
% 191.00/191.37 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 191.00/191.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 191.00/191.37 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__0__less__iff,axiom,
% 191.00/191.37 ! [V_n_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__semidom(T_b)
% 191.00/191.37 => ( 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)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__nat__number__of,axiom,
% 191.00/191.37 ! [V_v] :
% 191.00/191.37 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__less__iff,axiom,
% 191.00/191.37 ! [V_m_2,V_w_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_zdiff__int__split,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,V_Pa_2] :
% 191.00/191.37 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2))))
% 191.00/191.37 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 191.00/191.37 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)))) )
% 191.00/191.37 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.00/191.37 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 191.00/191.37 hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__number__of__eq,axiom,
% 191.00/191.37 ! [V_v,T_a] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_a)
% 191.00/191.37 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__number__of__lemma,axiom,
% 191.00/191.37 ! [V_v,T_a] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_a)
% 191.00/191.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__number__of__Suc,axiom,
% 191.00/191.37 ! [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)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 191.00/191.37 ! [V_n_2,T_b] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_b)
% 191.00/191.37 => 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)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_dual__max,axiom,
% 191.00/191.37 ! [T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__ord__min,axiom,
% 191.00/191.37 ! [T_b] :
% 191.00/191.37 ( class_Orderings_Oord(T_b)
% 191.00/191.37 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_code__numeral_Osize_I1_J,axiom,
% 191.00/191.37 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Oremove,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.37 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 191.00/191.37 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 191.00/191.37 ! [V_A_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( V_A_2 = V_B_2
% 191.00/191.37 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 191.00/191.37 ! [V_A_2,V_x_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2] :
% 191.00/191.37 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y_2)
% 191.00/191.37 <=> V_x_2 = V_y_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__int__eq,axiom,
% 191.00/191.37 ! [V_n_2,V_m_2] :
% 191.00/191.37 ( 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)
% 191.00/191.37 <=> V_m_2 = V_n_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Osingleton,axiom,
% 191.00/191.37 ! [V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 191.00/191.37 ! [V_i_2,V_inc_2,T_b] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_b)
% 191.00/191.37 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 191.00/191.37 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 191.00/191.37 ( class_Rings_Osemiring__1(T_b)
% 191.00/191.37 => 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)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min__le,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min__in,axiom,
% 191.00/191.37 ! [V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Oin__idem,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min__antimono,axiom,
% 191.00/191.37 ! [V_N_2,V_M_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 191.00/191.37 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min__insert,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Osubset__idem,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min__Un,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.37 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Oinsert,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Oinsert__remove,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.00/191.37 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Ounion__disjoint,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.37 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Ounion__inter,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.37 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.37 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 191.00/191.37 ! [V_f_2,V_A_2,T_b] :
% 191.00/191.37 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.37 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_code__numeral_Osize_I2_J,axiom,
% 191.00/191.37 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_code__numeral_Oinject,axiom,
% 191.00/191.37 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 191.00/191.37 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 191.00/191.37 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 191.00/191.37 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 191.00/191.37 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 191.00/191.37 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.37 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.37 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_nat__set__def,axiom,
% 191.00/191.37 ! [V_S_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_S_2)
% 191.00/191.37 <=> ! [B_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 191.00/191.37 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.37 => ( V_A_2 = V_B_2
% 191.00/191.37 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 191.00/191.37 ! [V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Suc__code__numeral__minus__one,axiom,
% 191.00/191.37 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 191.00/191.37 ! [V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 191.00/191.37 ! [V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 191.00/191.37 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_code__numeral_Osize_I4_J,axiom,
% 191.00/191.37 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 191.00/191.37 ! [V_A_2,V_x_2] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.00/191.37 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Min_Oclosed,axiom,
% 191.00/191.37 ! [V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_card__greaterThanLessThan__int,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_finite__greaterThanLessThan__int,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 191.00/191.37 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.00/191.37 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 191.00/191.37 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 191.00/191.37 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.00/191.37 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.00/191.37 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.00/191.37 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 191.00/191.37 ! [V_n,V_x] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 191.00/191.37 ! [V_y,V_x] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.00/191.37 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_is__nat__def,axiom,
% 191.00/191.37 ! [V_x_2] :
% 191.00/191.37 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_greaterThanLessThan__empty,axiom,
% 191.00/191.37 ! [V_k_2,V_l_2,T_b] :
% 191.00/191.37 ( class_Orderings_Oorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 191.00/191.37 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.37 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2] :
% 191.00/191.37 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 191.00/191.37 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 191.00/191.37 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_code__numeral_Osize_I3_J,axiom,
% 191.00/191.37 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 191.00/191.37 ! [V_f_2,V_A_2,T_b] :
% 191.00/191.37 ( ! [B_x] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.37 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 191.00/191.37 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_ivl__disj__un_I4_J,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.00/191.37 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__of__nat,axiom,
% 191.00/191.37 ! [V_k,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.37 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 191.00/191.37 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_finite__greaterThanAtMost,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_finite__greaterThanLessThan,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_finite__greaterThanAtMost__int,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__int__eq,axiom,
% 191.00/191.37 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_number__of__eq,axiom,
% 191.00/191.37 ! [V_k,T_a] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_a)
% 191.00/191.37 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__eq__iff,axiom,
% 191.00/191.37 ! [V_z_2,V_w_2,T_b] :
% 191.00/191.37 ( class_Int_Oring__char__0(T_b)
% 191.00/191.37 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 191.00/191.37 <=> V_w_2 = V_z_2 ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_int__number__of__def,axiom,
% 191.00/191.37 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__eq__0__iff,axiom,
% 191.00/191.37 ! [V_z_2,T_b] :
% 191.00/191.37 ( class_Int_Oring__char__0(T_b)
% 191.00/191.37 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.37 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__0__eq__iff,axiom,
% 191.00/191.37 ! [V_z_2,T_b] :
% 191.00/191.37 ( class_Int_Oring__char__0(T_b)
% 191.00/191.37 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 191.00/191.37 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__0,axiom,
% 191.00/191.37 ! [T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__le__iff,axiom,
% 191.00/191.37 ! [V_z_2,V_w_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__less__iff,axiom,
% 191.00/191.37 ! [V_z_2,V_w_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__add,axiom,
% 191.00/191.37 ! [V_z,V_w,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__number__of__eq,axiom,
% 191.00/191.37 ! [V_v,T_a] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__mult,axiom,
% 191.00/191.37 ! [V_z,V_w,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__1,axiom,
% 191.00/191.37 ! [T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__diff,axiom,
% 191.00/191.37 ! [V_z,V_w,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__of__nat__eq,axiom,
% 191.00/191.37 ! [V_n,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__minus,axiom,
% 191.00/191.37 ! [V_z,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Ints__of__int,axiom,
% 191.00/191.37 ! [V_z_2,T_b] :
% 191.00/191.37 ( class_Rings_Oring__1(T_b)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__power,axiom,
% 191.00/191.37 ! [V_n,V_z,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_greaterThanAtMost__empty,axiom,
% 191.00/191.37 ! [V_k_2,V_l_2,T_b] :
% 191.00/191.37 ( class_Orderings_Oorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 191.00/191.37 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 191.00/191.37 ! [V_l_2,V_k_2,T_b] :
% 191.00/191.37 ( class_Orderings_Oorder(T_b)
% 191.00/191.37 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 191.00/191.37 ! [V_l_2,V_k_2,T_b] :
% 191.00/191.37 ( class_Orderings_Oorder(T_b)
% 191.00/191.37 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 191.00/191.37 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_ivl__disj__un_I20_J,axiom,
% 191.00/191.37 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.00/191.37 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_ivl__disj__int_I14_J,axiom,
% 191.00/191.37 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.37 ( class_Orderings_Oorder(T_b)
% 191.00/191.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_card__greaterThanAtMost,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 191.00/191.37 ! [V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__setprod,axiom,
% 191.00/191.37 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.37 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.00/191.37 & class_Rings_Oring__1(T_b) )
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__m1,axiom,
% 191.00/191.37 ! [T_a] :
% 191.00/191.37 ( class_Int_Onumber__ring(T_a)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_ivl__disj__int_I10_J,axiom,
% 191.00/191.37 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.37 ( class_Orderings_Oorder(T_b)
% 191.00/191.37 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__0__le__iff,axiom,
% 191.00/191.37 ! [V_z_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__le__0__iff,axiom,
% 191.00/191.37 ! [V_z_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_card__greaterThanLessThan,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__0__less__iff,axiom,
% 191.00/191.37 ! [V_z_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__less__0__iff,axiom,
% 191.00/191.37 ! [V_z_2,T_b] :
% 191.00/191.37 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.37 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__nat__nat,axiom,
% 191.00/191.37 ! [V_z,T_a] :
% 191.00/191.37 ( class_Rings_Oring__1(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.00/191.37 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_card__greaterThanAtMost__int,axiom,
% 191.00/191.37 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_ivl__disj__un_I16_J,axiom,
% 191.00/191.37 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 191.00/191.37 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 191.00/191.37 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.00/191.37 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.37 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 191.00/191.37 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.37 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_of__int__num,axiom,
% 191.00/191.37 ! [V_k_2,T_b] :
% 191.00/191.37 ( class_Rings_Oring__1(T_b)
% 191.00/191.37 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 191.00/191.37 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.37 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 191.00/191.37 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.37 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 191.00/191.37 ! [V_A_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.37 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.37 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_adjust__eq,axiom,
% 191.00/191.37 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_max__Suc__number__of,axiom,
% 191.00/191.37 ! [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)))) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_inf__Int__eq2,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_sup__Un__eq2,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_bot__empty__eq2,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,T_c,T_b] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_pred__equals__eq2,axiom,
% 191.00/191.37 ! [V_S_2,V_R_2,T_c,T_b] :
% 191.00/191.37 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 191.00/191.37 <=> V_R_2 = V_S_2 ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_pred__subset__eq2,axiom,
% 191.00/191.37 ! [V_S_2,V_R_2,T_c,T_b] :
% 191.00/191.37 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 191.00/191.37 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oless__supI2,axiom,
% 191.00/191.37 ! [V_a,V_b,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Oless__supI1,axiom,
% 191.00/191.37 ! [V_b,V_a,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_max__less__iff__conj,axiom,
% 191.00/191.37 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 191.00/191.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_less__max__iff__disj,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 191.00/191.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__supE,axiom,
% 191.00/191.37 ! [V_x,V_b,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x))
% 191.00/191.37 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.00/191.37 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup__mono,axiom,
% 191.00/191.37 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup__least,axiom,
% 191.00/191.37 ! [V_z,V_x,V_y,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__supI,axiom,
% 191.00/191.37 ! [V_b,V_x,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup__absorb1,axiom,
% 191.00/191.37 ! [V_x,V_y,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup__absorb2,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__supI2,axiom,
% 191.00/191.37 ! [V_a,V_b,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__supI1,axiom,
% 191.00/191.37 ! [V_b,V_a,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__sup__iff,axiom,
% 191.00/191.37 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.00/191.37 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Ole__iff__sup,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.00/191.37 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_le__maxI2,axiom,
% 191.00/191.37 ! [V_x,V_y,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_le__maxI1,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_le__max__iff__disj,axiom,
% 191.00/191.37 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_b)
% 191.00/191.37 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 191.00/191.37 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 191.00/191.37 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_max__add__distrib__left,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_max__Suc__Suc,axiom,
% 191.00/191.37 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_Max_Oidem,axiom,
% 191.00/191.37 ! [V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup__assoc,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup_Oassoc,axiom,
% 191.00/191.37 ! [V_c,V_b,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup__left__commute,axiom,
% 191.00/191.37 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 191.00/191.37 ! [V_c,V_a,V_b,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup__left__idem,axiom,
% 191.00/191.37 ! [V_y,V_x,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ).
% 191.00/191.37
% 191.00/191.37 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 191.00/191.37 ! [V_b,V_a,T_a] :
% 191.00/191.37 ( class_Orderings_Olinorder(T_a)
% 191.00/191.37 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Osup__commute,axiom,
% 191.00/191.38 ! [V_y,V_x,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Osup_Ocommute,axiom,
% 191.00/191.38 ! [V_b,V_a,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Osup_Oidem,axiom,
% 191.00/191.38 ! [V_a,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__0L,axiom,
% 191.00/191.38 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__0R,axiom,
% 191.00/191.38 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__diff__distrib__left,axiom,
% 191.00/191.38 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.38 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__of__mono,axiom,
% 191.00/191.38 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] :
% 191.00/191.38 ( ( class_Orderings_Olinorder(T_c)
% 191.00/191.38 & class_Orderings_Olinorder(T_b) )
% 191.00/191.38 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_c),hAPP(V_f_2,V_m_2)),hAPP(V_f_2,V_n_2)) = hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_m_2),V_n_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_sup__nat__def,axiom,
% 191.00/191.38 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_sup__max,axiom,
% 191.00/191.38 ! [T_b] :
% 191.00/191.38 ( ( class_Lattices_Osemilattice__sup(T_b)
% 191.00/191.38 & class_Orderings_Olinorder(T_b) )
% 191.00/191.38 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 191.00/191.38 ! [V_x,V_z,V_y,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 191.00/191.38 ! [V_x,V_z,V_y,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 191.00/191.38 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 191.00/191.38 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 191.00/191.38 ! [V_y,V_x,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Osup__inf__absorb,axiom,
% 191.00/191.38 ! [V_y,V_x,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 191.00/191.38 ! [T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__mod__div,axiom,
% 191.00/191.38 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__number__of,axiom,
% 191.00/191.38 ! [V_v,V_u,T_b] :
% 191.00/191.38 ( ( class_Int_Onumber(T_b)
% 191.00/191.38 & class_Orderings_Oord(T_b) )
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Odistrib__inf__le,axiom,
% 191.00/191.38 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Odistrib__sup__le,axiom,
% 191.00/191.38 ! [V_z,V_y,V_x,T_a] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_a)
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_minus__min__eq__max,axiom,
% 191.00/191.38 ! [V_y,V_x,T_a] :
% 191.00/191.38 ( class_Groups_Olinordered__ab__group__add(T_a)
% 191.00/191.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_minus__max__eq__min,axiom,
% 191.00/191.38 ! [V_y,V_x,T_a] :
% 191.00/191.38 ( class_Groups_Olinordered__ab__group__add(T_a)
% 191.00/191.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_nat__minus__add__max,axiom,
% 191.00/191.38 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__Suc1,axiom,
% 191.00/191.38 ! [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) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__Suc2,axiom,
% 191.00/191.38 ! [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) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__ord__max,axiom,
% 191.00/191.38 ! [T_b] :
% 191.00/191.38 ( class_Orderings_Oord(T_b)
% 191.00/191.38 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Omono__sup,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.00/191.38 ( ( class_Lattices_Osemilattice__sup(T_c)
% 191.00/191.38 & class_Orderings_Olinorder(T_b) )
% 191.00/191.38 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),hAPP(V_f_2,V_A_2)),hAPP(V_f_2,V_B_2))),hAPP(V_f_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_A_2),V_B_2)))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Int__greaterThanAtMost,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Int__greaterThanLessThan,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_dual__min,axiom,
% 191.00/191.38 ! [T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 191.00/191.38 ! [V_a_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_adjust__def,axiom,
% 191.00/191.38 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__number__of__Suc,axiom,
% 191.00/191.38 ! [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)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_pair__imageI,axiom,
% 191.00/191.38 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 191.00/191.38 ! [V_w] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 191.00/191.38 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 191.00/191.38 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg__eqn__number__of,axiom,
% 191.00/191.38 ! [V_w,V_v] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 191.00/191.38 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 191.00/191.38 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg__eqn,axiom,
% 191.00/191.38 ! [V_a,V_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.00/191.38 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.00/191.38 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_splitI,axiom,
% 191.00/191.38 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_prod__caseI,axiom,
% 191.00/191.38 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_sup2E,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.00/191.38 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_sup2CI,axiom,
% 191.00/191.38 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 191.00/191.38 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_inf2E,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.00/191.38 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.00/191.38 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_inf2I,axiom,
% 191.00/191.38 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mem__splitI,axiom,
% 191.00/191.38 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_bot2E,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_swap__inj__on,axiom,
% 191.00/191.38 ! [V_A_2,T_c,T_b] : c_Fun_Oinj__on(tc_prod(T_b,T_c),tc_prod(T_c,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_c,T_b)),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))),V_A_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_The__split__eq,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__paired__The,axiom,
% 191.00/191.38 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_splitD,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_splitD_H,axiom,
% 191.00/191.38 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_inf2D2,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_inf2D1,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_sup2I1,axiom,
% 191.00/191.38 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_sup2I2,axiom,
% 191.00/191.38 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_rev__predicate2D,axiom,
% 191.00/191.38 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.00/191.38 => ( 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))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_predicate2D,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] :
% 191.00/191.38 ( 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))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_less__by__empty,axiom,
% 191.00/191.38 ! [V_B_2,T_b,V_A_2] :
% 191.00/191.38 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Pair__inject,axiom,
% 191.00/191.38 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 191.00/191.38 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)
% 191.00/191.38 => ~ ( V_a = V_a_H
% 191.00/191.38 => V_b != V_b_H ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Pair__eq,axiom,
% 191.00/191.38 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.00/191.38 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 191.00/191.38 <=> ( V_a_2 = V_a_H_2
% 191.00/191.38 & V_b_2 = V_b_H_2 ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__paired__All,axiom,
% 191.00/191.38 ! [T_c,T_b,V_Pa_2] :
% 191.00/191.38 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.00/191.38 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__weak__cong,axiom,
% 191.00/191.38 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 191.00/191.38 ( V_p_2 = V_q_2
% 191.00/191.38 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__twice,axiom,
% 191.00/191.38 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_prod_Osimps_I2_J,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__conv,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg__div__mod,axiom,
% 191.00/191.38 ! [V_l,V_k] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.00/191.38 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg__minus1,axiom,
% 191.00/191.38 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__eta,axiom,
% 191.00/191.38 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg_Osimps,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 191.00/191.38 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_in__rel__def,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__mod__code__numeral__def,axiom,
% 191.00/191.38 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Nitpick_Orefl_H__def,axiom,
% 191.00/191.38 ! [V_r_2,T_b] :
% 191.00/191.38 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 191.00/191.38 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 191.00/191.38 ! [V_w] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.38 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.38 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg__0,axiom,
% 191.00/191.38 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg__div__mod,axiom,
% 191.00/191.38 ! [V_l,V_k] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.00/191.38 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg__eqn,axiom,
% 191.00/191.38 ! [V_a,V_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.00/191.38 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.00/191.38 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg__eqn__number__of,axiom,
% 191.00/191.38 ! [V_w,V_v] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.38 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.00/191.38 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg_Osimps,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 191.00/191.38 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__def,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 191.00/191.38 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__step,axiom,
% 191.00/191.38 ! [V_m,V_n] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.00/191.38 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg_Opsimps,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 191.00/191.38 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) )
% 191.00/191.38 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_zmult2__lemma,axiom,
% 191.00/191.38 ! [V_c,V_r,V_q,V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_accp_Osimps,axiom,
% 191.00/191.38 ! [V_a_2,V_r_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 191.00/191.38 <=> ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 191.00/191.38 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_accp_Oequations,axiom,
% 191.00/191.38 ! [V_a_2,V_r_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 191.00/191.38 <=> ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 191.00/191.38 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_accp__downward,axiom,
% 191.00/191.38 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.00/191.38 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__rel__neg,axiom,
% 191.00/191.38 ! [V_qr,V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__zero,axiom,
% 191.00/191.38 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__rel__0,axiom,
% 191.00/191.38 ! [V_b] :
% 191.00/191.38 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_self__remainder,axiom,
% 191.00/191.38 ! [V_r,V_q,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_unique__quotient,axiom,
% 191.00/191.38 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 191.00/191.38 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => V_q = V_q_H ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_unique__remainder,axiom,
% 191.00/191.38 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 191.00/191.38 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => V_r = V_r_H ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_accp__subset,axiom,
% 191.00/191.38 ! [V_R2_2,V_R1_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__correct,axiom,
% 191.00/191.38 ! [V_a,V_b] :
% 191.00/191.38 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__base,axiom,
% 191.00/191.38 ! [V_n,V_m] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.00/191.38 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negateSnd__eq,axiom,
% 191.00/191.38 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__div__mod,axiom,
% 191.00/191.38 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_self__quotient,axiom,
% 191.00/191.38 ! [V_r,V_q,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__rel__mod,axiom,
% 191.00/191.38 ! [V_r,V_q,V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__rel__div,axiom,
% 191.00/191.38 ! [V_r,V_q,V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg__correct,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__rel__div__mod,axiom,
% 191.00/191.38 ! [V_a,V_b] :
% 191.00/191.38 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg__correct,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_zadd1__lemma,axiom,
% 191.00/191.38 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar)))
% 191.00/191.38 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br)))
% 191.00/191.38 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_zminus1__lemma,axiom,
% 191.00/191.38 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__rel__def,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__if,axiom,
% 191.00/191.38 ! [V_m_2,V_n_2] :
% 191.00/191.38 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 191.00/191.38 => 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) )
% 191.00/191.38 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 191.00/191.38 => 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)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__int__relI,axiom,
% 191.00/191.38 ! [V_r,V_q,V_b,V_a] :
% 191.00/191.38 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)
% 191.00/191.38 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_zmult1__lemma,axiom,
% 191.00/191.38 ! [V_a,V_r,V_q,V_c,V_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.00/191.38 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg_Opsimps,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 191.00/191.38 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) )
% 191.00/191.38 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negDivAlg_Opinduct,axiom,
% 191.00/191.38 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.00/191.38 => ( ! [B_a,B_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 191.00/191.38 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b)))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 191.00/191.38 ! [V_a,V_r,V_q,V_c,V_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 191.00/191.38 ! [V_c,V_r,V_q,V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__rel__unique,axiom,
% 191.00/191.38 ! [V_qr_H,V_qr,V_n,V_m] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 191.00/191.38 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 191.00/191.38 => V_qr = V_qr_H ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__eq,axiom,
% 191.00/191.38 ! [V_qr,V_n,V_m] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 191.00/191.38 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 191.00/191.38 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__def,axiom,
% 191.00/191.38 ! [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)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__eq,axiom,
% 191.00/191.38 ! [V_r,V_q,V_n,V_m] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__eq,axiom,
% 191.00/191.38 ! [V_r,V_q,V_n,V_m] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__rel,axiom,
% 191.00/191.38 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 191.00/191.38 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar)))
% 191.00/191.38 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.00/191.38 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_posDivAlg_Opinduct,axiom,
% 191.00/191.38 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.00/191.38 => ( ! [B_a,B_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 191.00/191.38 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Nitpick_OFrac__def,axiom,
% 191.00/191.38 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__pos__neg__1__number__of,axiom,
% 191.00/191.38 ! [V_w] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_in__measure,axiom,
% 191.00/191.38 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_snd__eqD,axiom,
% 191.00/191.38 ! [V_a,V_y,V_x,T_a,T_b] :
% 191.00/191.38 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a
% 191.00/191.38 => V_y = V_a ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_snd__conv,axiom,
% 191.00/191.38 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ).
% 191.00/191.38
% 191.00/191.38 fof(fact_snd__def,axiom,
% 191.00/191.38 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__int__def,axiom,
% 191.00/191.38 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__neg__pos,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__pos__pos,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__pos__pos__1__number__of,axiom,
% 191.00/191.38 ! [V_w] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__pos__neg,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__neg__neg,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_norm__frac_Osimps,axiom,
% 191.00/191.38 ! [V_a_2,V_b_2] :
% 191.00/191.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.38 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 191.00/191.38 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.38 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_norm__frac_Opsimps,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.38 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 191.00/191.38 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.38 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.38 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__pos__neg__1__number__of,axiom,
% 191.00/191.38 ! [V_w] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mlex__leq,axiom,
% 191.00/191.38 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Pair__fst__snd__eq,axiom,
% 191.00/191.38 ! [T_c,T_b,V_t_2,V_s_2] :
% 191.00/191.38 ( V_s_2 = V_t_2
% 191.00/191.38 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 191.00/191.38 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_prod__eqI,axiom,
% 191.00/191.38 ! [V_q,V_p,T_b,T_a] :
% 191.00/191.38 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 191.00/191.38 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 191.00/191.38 => V_p = V_q ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_fst__conv,axiom,
% 191.00/191.38 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ).
% 191.00/191.38
% 191.00/191.38 fof(fact_fst__eqD,axiom,
% 191.00/191.38 ! [V_a,V_y,V_x,T_b,T_a] :
% 191.00/191.38 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a
% 191.00/191.38 => V_x = V_a ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_fst__def,axiom,
% 191.00/191.38 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_surjective__pairing,axiom,
% 191.00/191.38 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_pair__collapse,axiom,
% 191.00/191.38 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__comp,axiom,
% 191.00/191.38 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_prod__case__beta,axiom,
% 191.00/191.38 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__int__def,axiom,
% 191.00/191.38 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mod__nat__def,axiom,
% 191.00/191.38 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__comp__eq,axiom,
% 191.00/191.38 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__beta,axiom,
% 191.00/191.38 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_split__def,axiom,
% 191.00/191.38 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_The__split,axiom,
% 191.00/191.38 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__neg__pos,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__pos__pos,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__pos__pos__1__number__of,axiom,
% 191.00/191.38 ! [V_w] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__pos__neg,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__neg__neg,axiom,
% 191.00/191.38 ! [V_b,V_a] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mlex__less,axiom,
% 191.00/191.38 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_prod__size__simp,axiom,
% 191.00/191.38 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_exI__realizer,axiom,
% 191.00/191.38 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_conjI__realizer,axiom,
% 191.00/191.38 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 191.00/191.38 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 191.00/191.38 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 191.00/191.38 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 191.00/191.38 & 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)))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_norm__frac_Opinduct,axiom,
% 191.00/191.38 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.00/191.38 => ( ! [B_a,B_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.00/191.38 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_div__nat__def,axiom,
% 191.00/191.38 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_divmod__nat__rel__def,axiom,
% 191.00/191.38 ! [V_qr_2,V_n_2,V_m_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 191.00/191.38 <=> ( 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))
% 191.00/191.38 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.38 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.00/191.38 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 191.00/191.38 & 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)) ) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 191.00/191.38 => ( 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)))
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_prod_Orecs,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Oremove,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 191.00/191.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OInf__le__Sup,axiom,
% 191.00/191.38 ! [V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_in__lex__prod,axiom,
% 191.00/191.38 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 191.00/191.38 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 191.00/191.38 | ( V_a_2 = V_a_H_2
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Osingleton,axiom,
% 191.00/191.38 ! [V_x_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max__ge,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 191.00/191.38 ! [V_x_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max__in,axiom,
% 191.00/191.38 ! [V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Oin__idem,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 191.00/191.38 ! [V_a_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max__mono,axiom,
% 191.00/191.38 ! [V_N_2,V_M_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 191.00/191.38 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max__insert,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Osubset__idem,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max__Un,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.00/191.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Oinsert,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Oinsert__remove,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.00/191.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Ounion__disjoint,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.38 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Ounion__inter,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.38 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_minus__Min__eq__Max,axiom,
% 191.00/191.38 ! [V_S_2,T_b] :
% 191.00/191.38 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.00/191.38 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_minus__Max__eq__Min,axiom,
% 191.00/191.38 ! [V_S_2,T_b] :
% 191.00/191.38 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.00/191.38 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 191.00/191.38 ! [V_x_2,V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.38 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 191.00/191.38 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_same__fstI,axiom,
% 191.00/191.38 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 191.00/191.38 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 191.00/191.38 ! [V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Oclosed,axiom,
% 191.00/191.38 ! [V_A_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.38 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_in__finite__psubset,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 191.00/191.38 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.38 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_pair__lessI2,axiom,
% 191.00/191.38 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 191.00/191.38 ! [V_N_2,V_h_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.00/191.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 191.00/191.38 ! [V_N_2,V_h_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.00/191.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Max_Ohom__commute,axiom,
% 191.00/191.38 ! [V_N_2,V_h_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.00/191.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_pair__lessI1,axiom,
% 191.00/191.38 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_pair__leqI2,axiom,
% 191.00/191.38 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_smax__insertI,axiom,
% 191.00/191.38 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_smin__insertI,axiom,
% 191.00/191.38 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_pair__leqI1,axiom,
% 191.00/191.38 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_smax__emptyI,axiom,
% 191.00/191.38 ! [V_Y_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 191.00/191.38 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_smin__emptyI,axiom,
% 191.00/191.38 ! [V_X_2] :
% 191.00/191.38 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_wmin__insertI,axiom,
% 191.00/191.38 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_wmax__insertI,axiom,
% 191.00/191.38 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_wmax__emptyI,axiom,
% 191.00/191.38 ! [V_X_2] :
% 191.00/191.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_wmin__emptyI,axiom,
% 191.00/191.38 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__weak__def,axiom,
% 191.00/191.38 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__weak__def,axiom,
% 191.00/191.38 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__rpair__set,axiom,
% 191.00/191.38 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__rpair__set,axiom,
% 191.00/191.38 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__strict__def,axiom,
% 191.00/191.38 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__ext__additive,axiom,
% 191.00/191.38 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_min__strict__def,axiom,
% 191.00/191.38 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_max__extp__max__ext__eq,axiom,
% 191.00/191.38 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 191.00/191.38 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_less__than__iff,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_intrel__iff,axiom,
% 191.00/191.38 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel))
% 191.00/191.38 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_rp__inv__image__rp,axiom,
% 191.00/191.38 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 191.00/191.38 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 191.00/191.38 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_pair__less__def,axiom,
% 191.00/191.38 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mlex__prod__def,axiom,
% 191.00/191.38 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_rp__inv__image__def,axiom,
% 191.00/191.38 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Min_Ohom__commute,axiom,
% 191.00/191.38 ! [V_N_2,V_h_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.00/191.38 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_decr__mult__lemma,axiom,
% 191.00/191.38 ! [V_k_2,V_Pa_2,V_d_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.00/191.38 => ( ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_measure__def,axiom,
% 191.00/191.38 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_in__inv__image,axiom,
% 191.00/191.38 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_negD,axiom,
% 191.00/191.38 ! [V_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.00/191.38 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_incr__mult__lemma,axiom,
% 191.00/191.38 ! [V_k_2,V_Pa_2,V_d_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.00/191.38 => ( ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k_2),V_d_2)))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_strong__setprod__reindex__cong,axiom,
% 191.00/191.38 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 191.00/191.38 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.00/191.38 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.00/191.38 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 191.00/191.38 => ( ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.38 => hAPP(V_g_2,B_x) = hAPP(hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2),B_x) )
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_irrefl__def,axiom,
% 191.00/191.38 ! [V_r_2,T_b] :
% 191.00/191.38 ( c_Relation_Oirrefl(T_b,V_r_2)
% 191.00/191.38 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Field__insert,axiom,
% 191.00/191.38 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setprod__mono__one__right,axiom,
% 191.00/191.38 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.00/191.38 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.00/191.38 => ( ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.00/191.38 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setprod__mono__one__left,axiom,
% 191.00/191.38 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.00/191.38 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.00/191.38 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.00/191.38 => ( ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.00/191.38 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Field__empty,axiom,
% 191.00/191.38 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mono__Field,axiom,
% 191.00/191.38 ! [V_s_2,V_r_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Field__Un,axiom,
% 191.00/191.38 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__Field,axiom,
% 191.00/191.38 ! [V_r_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.00/191.38 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_zero__less__imp__eq__int,axiom,
% 191.00/191.38 ! [V_k] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.00/191.38 => ? [B_n] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 191.00/191.38 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I19_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_equiv__intrel__iff,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2] :
% 191.00/191.38 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I3_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__atLeastLessThan,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__atLeastAtMost,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__atLeastAtMost__int,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__atLeastLessThan__int,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I15_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I21_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__add__atLeastAtMost,axiom,
% 191.00/191.38 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__add__atLeastLessThan,axiom,
% 191.00/191.38 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__Suc__atLeastAtMost,axiom,
% 191.00/191.38 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__Suc__atLeastLessThan,axiom,
% 191.00/191.38 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.00/191.38 => V_b_2 = V_d_2 ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.00/191.38 => V_a_2 = V_c_2 ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__eq__iff,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.00/191.38 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 191.00/191.38 <=> ( V_a_2 = V_c_2
% 191.00/191.38 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Image__Un,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Image__empty,axiom,
% 191.00/191.38 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 191.00/191.38 ! [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))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 191.00/191.38 ! [V_n_2,V_m_2] :
% 191.00/191.38 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 191.00/191.38 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 191.00/191.38 => 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))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastAtMostSuc__conv,axiom,
% 191.00/191.38 ! [V_n_2,V_m_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 191.00/191.38 => 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)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan0,axiom,
% 191.00/191.38 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__singleton,axiom,
% 191.00/191.38 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Image__Int__subset,axiom,
% 191.00/191.38 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I6_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_card__atLeastLessThan,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Image__mono,axiom,
% 191.00/191.38 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Un__Image,axiom,
% 191.00/191.38 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2] :
% 191.00/191.38 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.00/191.38 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I18_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastatMost__empty__iff2,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 191.00/191.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastatMost__empty__iff,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastatMost__empty,axiom,
% 191.00/191.38 ! [V_a_2,V_b_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 191.00/191.38 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastatMost__subset__iff,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 191.00/191.38 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.00/191.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__empty,axiom,
% 191.00/191.38 ! [V_a_2,V_b_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 191.00/191.38 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 191.00/191.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__empty__iff,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.38 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastAtMost__singleton,axiom,
% 191.00/191.38 ! [V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 191.00/191.38 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 191.00/191.38 <=> ( V_a_2 = V_b_2
% 191.00/191.38 & V_b_2 = V_c_2 ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastAtMost__singleton_H,axiom,
% 191.00/191.38 ! [V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( V_a_2 = V_b_2
% 191.00/191.38 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__subset__iff,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 191.00/191.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I17_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__uminus__atLeastAtMost,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.38 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__diff,axiom,
% 191.00/191.38 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 191.00/191.38 => 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) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I11_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 191.00/191.38 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.00/191.38 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Image__iff,axiom,
% 191.00/191.38 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 191.00/191.38 <=> ? [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_rev__ImageI,axiom,
% 191.00/191.38 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThanSuc,axiom,
% 191.00/191.38 ! [V_n_2,V_m_2] :
% 191.00/191.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.38 => 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)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.38 => 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)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_card__atLeastAtMost,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Int__atLeastAtMost,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastatMost__psubset__iff,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 191.00/191.38 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.00/191.38 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 191.00/191.38 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 191.00/191.38 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 191.00/191.38 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastLessThan__add__Un,axiom,
% 191.00/191.38 ! [V_k_2,V_j_2,V_i_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.00/191.38 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Int__atLeastLessThan,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I22_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I16_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I13_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I12_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_subset__card__intvl__is__intvl,axiom,
% 191.00/191.38 ! [V_k_2,V_A_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2)))))
% 191.00/191.38 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I9_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.38 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__uminus__atLeastLessThan,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.38 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__add__int__atLeastLessThan,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 191.00/191.38 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_card__atLeastLessThan__int,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 191.00/191.38 ! [V_x_2,V_y_2,V_c_2] :
% 191.00/191.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 191.00/191.38 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 191.00/191.38 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.00/191.38 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.00/191.38 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_simp__from__to,axiom,
% 191.00/191.38 ! [V_i_2,V_j_2] :
% 191.00/191.38 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 191.00/191.38 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) )
% 191.00/191.38 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 191.00/191.38 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I15_J,axiom,
% 191.00/191.38 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Image__singleton__iff,axiom,
% 191.00/191.38 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_card__atLeastAtMost__int,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I5_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_of__int,axiom,
% 191.00/191.38 ! [V_j_2,V_i_2,T_b] :
% 191.00/191.38 ( class_Rings_Oring__1(T_b)
% 191.00/191.38 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_One__int__def,axiom,
% 191.00/191.38 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_mult,axiom,
% 191.00/191.38 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_le,axiom,
% 191.00/191.38 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_minus,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Zero__int__def,axiom,
% 191.00/191.38 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_int__def,axiom,
% 191.00/191.38 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_add,axiom,
% 191.00/191.38 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_nat,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_less,axiom,
% 191.00/191.38 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ex__nat__less,axiom,
% 191.00/191.38 ! [V_Pa_2,V_n_2] :
% 191.00/191.38 ( ? [B_m] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 191.00/191.38 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.00/191.38 <=> ? [B_x] :
% 191.00/191.38 ( 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)))
% 191.00/191.38 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_all__nat__less,axiom,
% 191.00/191.38 ! [V_Pa_2,V_n_2] :
% 191.00/191.38 ( ! [B_m] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.00/191.38 <=> ! [B_x] :
% 191.00/191.38 ( 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)))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ex__nat__less__eq,axiom,
% 191.00/191.38 ! [V_Pa_2,V_n_2] :
% 191.00/191.38 ( ? [B_m] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 191.00/191.38 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.00/191.38 <=> ? [B_x] :
% 191.00/191.38 ( 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)))
% 191.00/191.38 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_all__nat__less__eq,axiom,
% 191.00/191.38 ! [V_Pa_2,V_n_2] :
% 191.00/191.38 ( ! [B_m] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.00/191.38 <=> ! [B_x] :
% 191.00/191.38 ( 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)))
% 191.00/191.38 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_bset_I8_J,axiom,
% 191.00/191.38 ! [V_B_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_aset_I6_J,axiom,
% 191.00/191.38 ! [V_A_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_bset_I3_J,axiom,
% 191.00/191.38 ! [V_B_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 191.00/191.38 => ( ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 191.00/191.38 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 191.00/191.38 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_aset_I3_J,axiom,
% 191.00/191.38 ! [V_A_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 191.00/191.38 => ( ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 191.00/191.38 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 191.00/191.38 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_aset_I4_J,axiom,
% 191.00/191.38 ! [V_A_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( B_x != V_t_2
% 191.00/191.38 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_bset_I4_J,axiom,
% 191.00/191.38 ! [V_B_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( B_x != V_t_2
% 191.00/191.38 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_bset_I7_J,axiom,
% 191.00/191.38 ! [V_B_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_aset_I5_J,axiom,
% 191.00/191.38 ! [V_A_2,V_t_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_bset_I6_J,axiom,
% 191.00/191.38 ! [V_t_2,V_B_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_aset_I8_J,axiom,
% 191.00/191.38 ! [V_t_2,V_A_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_eq__Abs__Integ,axiom,
% 191.00/191.38 ! [V_z_2] :
% 191.00/191.38 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_periodic__finite__ex,axiom,
% 191.00/191.38 ! [V_Pa_2,V_d_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.00/191.38 => ( ! [B_x,B_k] :
% 191.00/191.38 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.00/191.38 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 191.00/191.38 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.00/191.38 <=> ? [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2)))
% 191.00/191.38 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_bset_I5_J,axiom,
% 191.00/191.38 ! [V_t_2,V_B_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_aset_I7_J,axiom,
% 191.00/191.38 ! [V_t_2,V_A_2,V_D_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.00/191.38 => ! [B_x] :
% 191.00/191.38 ( ! [B_xa] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.00/191.38 => ! [B_xb] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.00/191.38 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 191.00/191.38 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 191.00/191.38 ! [V_u_2] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 191.00/191.38 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 191.00/191.38 ! [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))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__lessThan,axiom,
% 191.00/191.38 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_finite__atMost,axiom,
% 191.00/191.38 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__eq__iff,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 191.00/191.38 <=> V_x_2 = V_y_2 ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atMost__eq__iff,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 191.00/191.38 <=> V_x_2 = V_y_2 ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__Suc__atMost,axiom,
% 191.00/191.38 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_card__lessThan,axiom,
% 191.00/191.38 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I2_J,axiom,
% 191.00/191.38 ! [V_u_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I10_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I7_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeast0LessThan,axiom,
% 191.00/191.38 ! [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) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__0,axiom,
% 191.00/191.38 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atLeast0AtMost,axiom,
% 191.00/191.38 ! [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) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__Suc,axiom,
% 191.00/191.38 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_card__atMost,axiom,
% 191.00/191.38 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atMost__Suc,axiom,
% 191.00/191.38 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atMost__iff,axiom,
% 191.00/191.38 ! [V_k_2,V_i_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oord(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__iff,axiom,
% 191.00/191.38 ! [V_k_2,V_i_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oord(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atMost__subset__iff,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__subset__iff,axiom,
% 191.00/191.38 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__strict__subset__iff,axiom,
% 191.00/191.38 ! [V_n_2,V_m_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( 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)))
% 191.00/191.38 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_atMost__0,axiom,
% 191.00/191.38 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_single__Diff__lessThan,axiom,
% 191.00/191.38 ! [V_k_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I8_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I4_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I2_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Int__atLeastAtMostR1,axiom,
% 191.00/191.38 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_Int__atLeastAtMostL1,axiom,
% 191.00/191.38 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__un_I9_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Olinorder(T_b)
% 191.00/191.38 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I3_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ivl__disj__int_I1_J,axiom,
% 191.00/191.38 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.38 ( class_Orderings_Oorder(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 191.00/191.38 ! [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))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_arith__series__int,axiom,
% 191.00/191.38 ! [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)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_arith__series__nat,axiom,
% 191.00/191.38 ! [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)))) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_arith__series__general,axiom,
% 191.00/191.38 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 191.00/191.38 ( class_Rings_Ocomm__semiring__1(T_b)
% 191.00/191.38 => 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)))) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_ImageE,axiom,
% 191.00/191.38 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 191.00/191.38 => ~ ! [B_x] :
% 191.00/191.38 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2))
% 191.00/191.38 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__negf,axiom,
% 191.00/191.38 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( class_Groups_Oab__group__add(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__divide__distrib,axiom,
% 191.00/191.38 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( class_Fields_Ofield(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__addf,axiom,
% 191.00/191.38 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__product,axiom,
% 191.00/191.38 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( class_Rings_Osemiring__0(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__left__distrib,axiom,
% 191.00/191.38 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( class_Rings_Osemiring__0(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__right__distrib,axiom,
% 191.00/191.38 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 191.00/191.38 ( class_Rings_Osemiring__0(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__commute,axiom,
% 191.00/191.38 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 191.00/191.38 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_b),T_d),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))),V_A_2)),V_B_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 191.00/191.38 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_int__setsum,axiom,
% 191.00/191.38 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_of__nat__setsum,axiom,
% 191.00/191.38 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( class_Rings_Osemiring__1(T_b)
% 191.00/191.38 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__0,axiom,
% 191.00/191.38 ! [V_A_2,T_c,T_b] :
% 191.00/191.38 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_setsum__subtractf,axiom,
% 191.00/191.38 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.00/191.38 ( class_Groups_Oab__group__add(T_b)
% 191.00/191.38 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 191.00/191.38
% 191.00/191.38 fof(fact_of__int__setsum,axiom,
% 191.00/191.38 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.00/191.39 ( class_Rings_Oring__1(T_b)
% 191.00/191.39 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Oempty,axiom,
% 191.00/191.39 ! [V_g_2,T_c,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__empty,axiom,
% 191.00/191.39 ! [V_f_2,T_c,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Oinfinite,axiom,
% 191.00/191.39 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__infinite,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__eq__0__iff,axiom,
% 191.00/191.39 ! [V_f_2,V_F_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.00/191.39 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.39 <=> ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 191.00/191.39 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Odistrib,axiom,
% 191.00/191.39 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_card__eq__setsum,axiom,
% 191.00/191.39 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 191.00/191.39 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => 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)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 191.00/191.39 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => 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)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 191.00/191.39 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => 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)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 191.00/191.39 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => 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)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__eq__Suc0__iff,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.00/191.39 <=> ? [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.39 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.00/191.39 & ! [B_xa] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.00/191.39 => ( B_x != B_xa
% 191.00/191.39 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__reindex,axiom,
% 191.00/191.39 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.00/191.39 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_B_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__eq__1__iff,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.00/191.39 <=> ? [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.39 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.00/191.39 & ! [B_xa] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.00/191.39 => ( B_x != B_xa
% 191.00/191.39 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__add__nat__ivl,axiom,
% 191.00/191.39 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 191.00/191.39 => 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)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__diff__nat__ivl,axiom,
% 191.00/191.39 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 191.00/191.39 ( class_Groups_Oab__group__add(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 191.00/191.39 => 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)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 191.00/191.39 ! [V_k_2,V_f_2] :
% 191.00/191.39 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__delta_H,axiom,
% 191.00/191.39 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__delta,axiom,
% 191.00/191.39 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__constant,axiom,
% 191.00/191.39 ! [V_A_2,V_y_2,T_c,T_b] :
% 191.00/191.39 ( class_Rings_Osemiring__1(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__lessThan__Suc,axiom,
% 191.00/191.39 ! [V_n_2,V_f_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => 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)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__atMost__Suc,axiom,
% 191.00/191.39 ! [V_n_2,V_f_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => 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))) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__insert,axiom,
% 191.00/191.39 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.00/191.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Oinsert,axiom,
% 191.00/191.39 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__Un__Int,axiom,
% 191.00/191.39 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__diff,axiom,
% 191.00/191.39 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Oab__group__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Oreindex,axiom,
% 191.00/191.39 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_g_2),V_h_2)),V_A_2) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Oeq__fold,axiom,
% 191.00/191.39 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_OF__eq,axiom,
% 191.00/191.39 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__diff__nat,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 191.00/191.39 ! [V_k_2,V_f_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__head__upt__Suc,axiom,
% 191.00/191.39 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.39 => 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))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__head__Suc,axiom,
% 191.00/191.39 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.39 => 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))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__restrict__set,axiom,
% 191.00/191.39 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Oinsert__remove,axiom,
% 191.00/191.39 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__Un__disjoint,axiom,
% 191.00/191.39 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__Un,axiom,
% 191.00/191.39 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Oab__group__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__diff1__nat,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 191.00/191.39 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__Un__nat,axiom,
% 191.00/191.39 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__op__ivl__Suc,axiom,
% 191.00/191.39 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 191.00/191.39 => 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) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 191.00/191.39 => 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)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__cl__ivl__Suc,axiom,
% 191.00/191.39 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 191.00/191.39 => 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) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 191.00/191.39 => 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))) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__head,axiom,
% 191.00/191.39 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.39 => 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))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__ub__add__nat,axiom,
% 191.00/191.39 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 => ( 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))))
% 191.00/191.39 => 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)))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__diff1_H,axiom,
% 191.00/191.39 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Oremove,axiom,
% 191.00/191.39 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__diff1,axiom,
% 191.00/191.39 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Oab__group__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__diff1__ring,axiom,
% 191.00/191.39 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Rings_Oring(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_geometric__sum,axiom,
% 191.00/191.39 ! [V_n_2,V_x_2,T_b] :
% 191.00/191.39 ( class_Fields_Ofield(T_b)
% 191.00/191.39 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 191.00/191.39 => 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))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_gauss__sum,axiom,
% 191.00/191.39 ! [V_n_2,T_b] :
% 191.00/191.39 ( class_Rings_Ocomm__semiring__1(T_b)
% 191.00/191.39 => 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))) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__natinterval__difff,axiom,
% 191.00/191.39 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 191.00/191.39 ( class_Groups_Oab__group__add(T_b)
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.39 => 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)))) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.00/191.39 => 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) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,T_b] :
% 191.00/191.39 ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.39 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__mono2,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.39 => ( ! [B_b] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__bounded,axiom,
% 191.00/191.39 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 191.00/191.39 & class_Rings_Osemiring__1(T_c) )
% 191.00/191.39 => ( ! [B_i] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 191.00/191.39 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.00/191.39 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 191.00/191.39 ! [V_A_2,V_f_2,T_b] :
% 191.00/191.39 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,T_b] :
% 191.00/191.39 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.00/191.39 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__Un__zero,axiom,
% 191.00/191.39 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 191.00/191.39 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__mono3,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 191.00/191.39 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__reindex__nonzero,axiom,
% 191.00/191.39 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.00/191.39 => ! [B_y] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 191.00/191.39 => ( B_x != B_y
% 191.00/191.39 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 191.00/191.39 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__nonneg__0,axiom,
% 191.00/191.39 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Oordered__ab__group__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.00/191.39 => ( ! [B_i] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 191.00/191.39 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 191.00/191.39 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__nonneg__leq__bound,axiom,
% 191.00/191.39 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Oordered__ab__group__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.00/191.39 => ( ! [B_i] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 191.00/191.39 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sum__diff__distrib,axiom,
% 191.00/191.39 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 191.00/191.39 ( ! [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)))
% 191.00/191.39 => 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)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__mono__zero__left,axiom,
% 191.00/191.39 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.00/191.39 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__mono__zero__right,axiom,
% 191.00/191.39 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.00/191.39 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.00/191.39 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_setsum__strict__mono,axiom,
% 191.00/191.39 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 191.00/191.39 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.00/191.39 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_atMost__Int__atLeast,axiom,
% 191.00/191.39 ! [V_n_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oorder(T_b)
% 191.00/191.39 => 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))) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_field__le__mult__one__interval,axiom,
% 191.00/191.39 ! [V_y,V_x,T_a] :
% 191.00/191.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.00/191.39 => ( ! [B_z] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),B_z),V_x)),V_y)) ) )
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 191.00/191.39 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 191.00/191.39 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.00/191.39 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.00/191.39 => ( V_A_2 = V_B_2
% 191.00/191.39 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.00/191.39 => ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.00/191.39 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 191.00/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_atLeast__eq__iff,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 191.00/191.39 <=> V_x_2 = V_y_2 ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_atLeast__iff,axiom,
% 191.00/191.39 ! [V_k_2,V_i_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oord(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_atLeast__subset__iff,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oorder(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Compl__lessThan,axiom,
% 191.00/191.39 ! [V_k_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Compl__atLeast,axiom,
% 191.00/191.39 ! [V_k_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__un_I14_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__int_I8_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oorder(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Int__atLeastAtMostL2,axiom,
% 191.00/191.39 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Int__atLeastAtMostR2,axiom,
% 191.00/191.39 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__int_I6_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oorder(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_image__uminus__atMost,axiom,
% 191.00/191.39 ! [V_x_2,T_b] :
% 191.00/191.39 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.39 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_image__uminus__atLeast,axiom,
% 191.00/191.39 ! [V_x_2,T_b] :
% 191.00/191.39 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.39 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_atLeast__Suc,axiom,
% 191.00/191.39 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__un_I12_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__un_I13_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__un_I1_J,axiom,
% 191.00/191.39 ! [V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_atLeast__Suc__greaterThan,axiom,
% 191.00/191.39 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_greaterThan__eq__iff,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 191.00/191.39 <=> V_x_2 = V_y_2 ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_greaterThan__iff,axiom,
% 191.00/191.39 ! [V_k_2,V_i_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oord(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_greaterThan__subset__iff,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Compl__atMost,axiom,
% 191.00/191.39 ! [V_k_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Compl__greaterThan,axiom,
% 191.00/191.39 ! [V_k_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__int_I7_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oorder(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__un_I11_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Olinorder(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_image__uminus__greaterThan,axiom,
% 191.00/191.39 ! [V_x_2,T_b] :
% 191.00/191.39 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.39 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_image__uminus__lessThan,axiom,
% 191.00/191.39 ! [V_x_2,T_b] :
% 191.00/191.39 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.00/191.39 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ivl__disj__int_I5_J,axiom,
% 191.00/191.39 ! [V_u_2,V_l_2,T_b] :
% 191.00/191.39 ( class_Orderings_Oorder(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_greaterThan__Suc,axiom,
% 191.00/191.39 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__1__neg,axiom,
% 191.00/191.39 ! [V_a_2,T_b] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.39 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__neg,axiom,
% 191.00/191.39 ! [V_a,T_a] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__if,axiom,
% 191.00/191.39 ! [V_x,T_a] :
% 191.00/191.39 ( class_Groups_Osgn__if(T_a)
% 191.00/191.39 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 191.00/191.39 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__sgn,axiom,
% 191.00/191.39 ! [V_a,T_a] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn0,axiom,
% 191.00/191.39 ! [T_a] :
% 191.00/191.39 ( class_Groups_Osgn__if(T_a)
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__0__0,axiom,
% 191.00/191.39 ! [V_a_2,T_b] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.39 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.00/191.39 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__times,axiom,
% 191.00/191.39 ! [V_b,V_a,T_a] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__greater,axiom,
% 191.00/191.39 ! [V_a_2,T_b] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__less,axiom,
% 191.00/191.39 ! [V_a_2,T_b] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__1__pos,axiom,
% 191.00/191.39 ! [V_a_2,T_b] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_b)
% 191.00/191.39 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_sgn__pos,axiom,
% 191.00/191.39 ! [V_a,T_a] :
% 191.00/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_zsgn__def,axiom,
% 191.00/191.39 ! [V_i] :
% 191.00/191.39 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.00/191.39 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.00/191.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 191.00/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 191.00/191.39 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_equiv__class__nondisjoint,axiom,
% 191.00/191.39 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_subset__equiv__class,axiom,
% 191.00/191.39 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 191.00/191.39 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(V_f2_2,V_code__numeral_2) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_equiv__class__self,axiom,
% 191.00/191.39 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_equiv__class__eq,axiom,
% 191.00/191.39 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.00/191.39 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_equiv__class__eq__iff,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.00/191.39 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.00/191.39 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_eq__equiv__class,axiom,
% 191.00/191.39 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 191.00/191.39 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.00/191.39 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_eq__equiv__class__iff,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.00/191.39 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_equiv__class__subset,axiom,
% 191.00/191.39 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 191.00/191.39 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 191.00/191.39
% 191.00/191.39 fof(fact_card__quotient__disjoint,axiom,
% 191.00/191.39 ! [V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 191.00/191.39 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_eq__equiv__class__iff2,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.00/191.39 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_singleton__quotient,axiom,
% 191.00/191.39 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__empty,axiom,
% 191.00/191.39 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__is__empty2,axiom,
% 191.00/191.39 ! [V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 191.00/191.39 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__is__empty,axiom,
% 191.00/191.39 ! [V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 191.00/191.39 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__disj,axiom,
% 191.00/191.39 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.00/191.39 => ( V_X_2 = V_Y_2
% 191.00/191.39 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__diff1,axiom,
% 191.00/191.39 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 191.00/191.39 ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotientI,axiom,
% 191.00/191.39 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__eq__iff,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 191.00/191.39 => ( V_X_2 = V_Y_2
% 191.00/191.39 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__eqI,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.00/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.00/191.39 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotientE,axiom,
% 191.00/191.39 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.00/191.39 => ~ ! [B_x] :
% 191.00/191.39 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.00/191.39 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_quotient__def,axiom,
% 191.00/191.39 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_fold__graph__permute__diff,axiom,
% 191.00/191.39 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 191.00/191.39 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_x_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_a_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_SUP1__I,axiom,
% 191.00/191.39 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_finite__UN,axiom,
% 191.00/191.39 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.00/191.39 <=> ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_fold__graph__imp__finite,axiom,
% 191.00/191.39 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 191.00/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_SUP1__iff,axiom,
% 191.00/191.39 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 191.00/191.39 <=> ? [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.00/191.39 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 191.00/191.39 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_fold__graph_OemptyI,axiom,
% 191.00/191.39 ! [V_z_2,V_f_2,T_c,T_b] : hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_z_2)) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_empty__fold__graphE,axiom,
% 191.00/191.39 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2))
% 191.00/191.39 => V_x_2 = V_z_2 ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__o,axiom,
% 191.00/191.39 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Image__UN,axiom,
% 191.00/191.39 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_fold__graph_OinsertI,axiom,
% 191.00/191.39 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.00/191.39 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.00/191.39 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Image__eq__UN,axiom,
% 191.00/191.39 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_fold__graph__insert__swap,axiom,
% 191.00/191.39 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 191.00/191.39 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_b_2,V_A_2),V_y_2))
% 191.00/191.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2),V_y_2))) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_Diff1__fold__graph,axiom,
% 191.00/191.39 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__I,axiom,
% 191.00/191.39 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__Pow__subset,axiom,
% 191.00/191.39 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_image__eq__UN,axiom,
% 191.00/191.39 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_ball__UN,axiom,
% 191.00/191.39 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 191.00/191.39 ( ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.00/191.39 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.00/191.39 <=> ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.00/191.39 => ! [B_xa] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 191.00/191.39 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__le__add__shift,axiom,
% 191.00/191.39 ! [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) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_SUP__commute,axiom,
% 191.00/191.39 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 191.00/191.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.00/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__UN__flatten,axiom,
% 191.00/191.39 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__simps_I9_J,axiom,
% 191.00/191.39 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__extend__simps_I9_J,axiom,
% 191.00/191.39 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__le__eq__Un0,axiom,
% 191.00/191.39 ! [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))) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_SUP__le__iff,axiom,
% 191.00/191.39 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 191.00/191.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 191.00/191.39 <=> ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.00/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_less__SUP__iff,axiom,
% 191.00/191.39 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 191.00/191.39 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.00/191.39 & class_Orderings_Olinorder(T_b) )
% 191.00/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 191.00/191.39 <=> ? [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.00/191.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__iff,axiom,
% 191.00/191.39 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.00/191.39 <=> ? [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.00/191.39 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_SUP__const,axiom,
% 191.00/191.39 ! [V_M_2,T_b,V_A_2,T_c] :
% 191.00/191.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.00/191.39 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.00/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UNION__empty__conv_I1_J,axiom,
% 191.00/191.39 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.00/191.39 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 191.00/191.39 <=> ! [B_x] :
% 191.00/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.00/191.39 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__empty2,axiom,
% 191.00/191.39 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.00/191.39
% 191.00/191.39 fof(fact_UN__constant,axiom,
% 191.00/191.39 ! [V_c_2,T_c,T_b,V_A_2] :
% 191.16/191.39 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.39 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UNION__empty__conv_I2_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_b,T_c] :
% 191.16/191.39 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 <=> ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.16/191.39 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__subset__iff,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 191.16/191.39 <=> ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__simps_I10_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_image__UN,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__extend__simps_I10_J,axiom,
% 191.16/191.39 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__Un__distrib,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__Un,axiom,
% 191.16/191.39 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__simps_I5_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__simps_I4_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__extend__simps_I5_J,axiom,
% 191.16/191.39 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Int__UN__distrib,axiom,
% 191.16/191.39 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__extend__simps_I4_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Int__UN__distrib2,axiom,
% 191.16/191.39 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_SUPR__apply,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 191.16/191.39 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.39 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__simps_I6_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__extend__simps_I6_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_SUP__subset,axiom,
% 191.16/191.39 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.16/191.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_le__SUPI,axiom,
% 191.16/191.39 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 191.16/191.39 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__insert__distrib,axiom,
% 191.16/191.39 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__upper,axiom,
% 191.16/191.39 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__absorb,axiom,
% 191.16/191.39 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__simps_I1_J,axiom,
% 191.16/191.39 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 191.16/191.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__singleton,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__extend__simps_I1_J,axiom,
% 191.16/191.39 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 191.16/191.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 191.16/191.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__simps_I3_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__simps_I2_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__extend__simps_I3_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 191.16/191.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__extend__simps_I2_J,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.39 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 191.16/191.39 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__insert,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_minus__int__def,axiom,
% 191.16/191.39 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__equiv__class2,axiom,
% 191.16/191.39 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.16/191.39 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.16/191.39 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__equiv__class,axiom,
% 191.16/191.39 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_SUP2__I,axiom,
% 191.16/191.39 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Rep__Integ__inject,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2] :
% 191.16/191.39 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 191.16/191.39 <=> V_x_2 = V_y_2 ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Rep__Integ__inverse,axiom,
% 191.16/191.39 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 191.16/191.39
% 191.16/191.39 fof(fact_congruent2__implies__congruent,axiom,
% 191.16/191.39 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 191.16/191.39 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.39 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_congruent__def,axiom,
% 191.16/191.39 ! [V_f_2,V_r_2,T_c,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 191.16/191.39 <=> ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2))),V_f_2)),B_x)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_congruent2D,axiom,
% 191.16/191.39 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 191.16/191.39 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_congruentD,axiom,
% 191.16/191.39 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 191.16/191.39 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_congruent2__implies__congruent__UN,axiom,
% 191.16/191.39 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.16/191.39 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.16/191.39 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 191.16/191.39 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_nat__def,axiom,
% 191.16/191.39 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__equiv__class__inject,axiom,
% 191.16/191.39 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.16/191.39 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.16/191.39 => ( ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.39 => ! [B_y] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.16/191.39 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 191.16/191.39 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__equiv__class__type2,axiom,
% 191.16/191.39 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.16/191.39 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.16/191.39 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 191.16/191.39 => ( ! [B_x1] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 191.16/191.39 => ! [B_x2] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__equiv__class__type,axiom,
% 191.16/191.39 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.16/191.39 => ( ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_SUP2__iff,axiom,
% 191.16/191.39 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 191.16/191.39 <=> ? [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.39 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_fold1Set_Ointros,axiom,
% 191.16/191.39 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 191.16/191.39 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Id__on__def,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__on__def_H,axiom,
% 191.16/191.39 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.39 <=> ( ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),B_x)) )
% 191.16/191.39 & ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__on__Id__on,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_fold1Set__nonempty,axiom,
% 191.16/191.39 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 191.16/191.39 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_empty__fold1SetE,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Id__on__def_H,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__on__empty,axiom,
% 191.16/191.39 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__on__Un,axiom,
% 191.16/191.39 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 191.16/191.39 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__on__Int,axiom,
% 191.16/191.39 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 191.16/191.39 => c_Relation_Orefl__on(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Id__on__empty,axiom,
% 191.16/191.39 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Image__Id__on,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__onD,axiom,
% 191.16/191.39 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__onD1,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_refl__onD2,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.16/191.39 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_fold1Set__sing,axiom,
% 191.16/191.39 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 191.16/191.39 <=> V_a_2 = V_b_2 ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Id__on__eqI,axiom,
% 191.16/191.39 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 191.16/191.39 ( V_a_2 = V_b_2
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Id__on__iff,axiom,
% 191.16/191.39 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 191.16/191.39 <=> ( V_x_2 = V_y_2
% 191.16/191.39 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Id__onE,axiom,
% 191.16/191.39 ! [V_A_2,V_c_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 191.16/191.39 => ~ ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.39 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_divmod__int__pdivmod,axiom,
% 191.16/191.39 ! [V_l_2,V_k_2] :
% 191.16/191.39 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 191.16/191.39 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 191.16/191.39 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_incr__lemma,axiom,
% 191.16/191.39 ! [V_x,V_z,V_d] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_setsum__abs,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_setsum__abs__ge__zero,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__minus__commute,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__setsum__abs,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__setprod,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( class_Fields_Olinordered__field(T_b)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__ge__self,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__le__D1,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__one,axiom,
% 191.16/191.39 ! [T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__minus__cancel,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_power__abs,axiom,
% 191.16/191.39 ! [V_n,V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__divide,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__idempotent,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__mult,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__mult__self,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__add__abs,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__zero,axiom,
% 191.16/191.39 ! [T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__eq__0,axiom,
% 191.16/191.39 ! [V_a_2,T_b] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.39 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.16/191.39 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__int__eq,axiom,
% 191.16/191.39 ! [V_m] : hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__of__nat,axiom,
% 191.16/191.39 ! [V_n,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apsnd__conv,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apsnd__compose,axiom,
% 191.16/191.39 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__of__nonneg,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__le__zero__iff,axiom,
% 191.16/191.39 ! [V_a_2,T_b] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.16/191.39 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__ge__zero,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__of__pos,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_zero__less__abs__iff,axiom,
% 191.16/191.39 ! [V_a_2,T_b] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)))
% 191.16/191.39 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__not__less__zero,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__triangle__ineq,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__mult__less,axiom,
% 191.16/191.39 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_d))) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_fst__apsnd,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__triangle__ineq3,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__triangle__ineq2,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__triangle__ineq2__sym,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_a)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__le__D2,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__leI,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__le__iff,axiom,
% 191.16/191.39 ! [V_b_2,V_a_2,T_b] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 191.16/191.39 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.16/191.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__ge__minus__self,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apsnd__eq__conv,axiom,
% 191.16/191.39 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 191.16/191.39 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 191.16/191.39 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_snd__apsnd,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__less__iff,axiom,
% 191.16/191.39 ! [V_b_2,V_a_2,T_b] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_b)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 191.16/191.39 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.16/191.39 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_nonzero__abs__divide,axiom,
% 191.16/191.39 ! [V_a,V_b,T_a] :
% 191.16/191.39 ( class_Fields_Olinordered__field(T_a)
% 191.16/191.39 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__power__minus,axiom,
% 191.16/191.39 ! [V_n,V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__zmult__eq__1,axiom,
% 191.16/191.39 ! [V_n,V_m] :
% 191.16/191.39 ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n)) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_pdivmod__def,axiom,
% 191.16/191.39 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_mult__sgn__abs,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__sgn,axiom,
% 191.16/191.39 ! [V_k,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_pdivmod__posDivAlg,axiom,
% 191.16/191.39 ! [V_k,V_l] :
% 191.16/191.39 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) )
% 191.16/191.39 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__mult__pos,axiom,
% 191.16/191.39 ! [V_y,V_x,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.16/191.39 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_y)),V_x) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__eq__mult,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Rings_Oordered__ring__abs(T_a)
% 191.16/191.39 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.16/191.39 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 191.16/191.39 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.16/191.39 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__triangle__ineq4,axiom,
% 191.16/191.39 ! [V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__diff__triangle__ineq,axiom,
% 191.16/191.39 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_c))),hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_b),V_d))))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__minus__le__zero,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__of__nonpos,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__if,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oabs__if(T_a)
% 191.16/191.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 191.16/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__of__neg,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_zero__le__power__abs,axiom,
% 191.16/191.39 ! [V_n,V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__div__pos,axiom,
% 191.16/191.39 ! [V_x,V_y,T_a] :
% 191.16/191.39 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.16/191.39 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)),V_y) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__minus__one,axiom,
% 191.16/191.39 ! [T_a] :
% 191.16/191.39 ( ( class_Int_Onumber__ring(T_a)
% 191.16/191.39 & class_Rings_Olinordered__idom(T_a) )
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_zabs__less__one__iff,axiom,
% 191.16/191.39 ! [V_z_2] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))
% 191.16/191.39 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_zabs__def,axiom,
% 191.16/191.39 ! [V_i] :
% 191.16/191.39 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 191.16/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_nat__abs__mult__distrib,axiom,
% 191.16/191.39 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_zero__le__zpower__abs,axiom,
% 191.16/191.39 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_negateSnd__def,axiom,
% 191.16/191.39 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__number__of,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( ( class_Int_Onumber__ring(T_a)
% 191.16/191.39 & class_Rings_Olinordered__idom(T_a) )
% 191.16/191.39 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) )
% 191.16/191.39 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)),c_Groups_Ozero__class_Ozero(T_a)))
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_x) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__power__minus__one,axiom,
% 191.16/191.39 ! [V_n,T_a] :
% 191.16/191.39 ( ( class_Int_Onumber__ring(T_a)
% 191.16/191.39 & class_Rings_Olinordered__idom(T_a) )
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_zero__less__zpower__abs__iff,axiom,
% 191.16/191.39 ! [V_n_2,V_x_2] :
% 191.16/191.39 ( 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)))
% 191.16/191.39 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_abs__power2,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_power2__abs,axiom,
% 191.16/191.39 ! [V_a,T_a] :
% 191.16/191.39 ( class_Rings_Olinordered__idom(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_divmod__int__code,axiom,
% 191.16/191.39 ! [V_l_2,V_k_2] :
% 191.16/191.39 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 191.16/191.39 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 191.16/191.39 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.16/191.39 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_decr__lemma,axiom,
% 191.16/191.39 ! [V_z,V_x,V_d] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_z))),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_d))),V_z)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 191.16/191.39 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 191.16/191.39 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apsnd__apfst,axiom,
% 191.16/191.39 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apfst__conv,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apfst__compose,axiom,
% 191.16/191.39 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_fst__apfst,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apfst__eq__conv,axiom,
% 191.16/191.39 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 191.16/191.39 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 191.16/191.39 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_snd__apfst,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apsnd__apfst__commute,axiom,
% 191.16/191.39 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 191.16/191.39 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_nat__gcd_Osimps,axiom,
% 191.16/191.39 ! [V_x,V_y] :
% 191.16/191.39 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.39 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 191.16/191.39 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.39 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_apfst__apsnd,axiom,
% 191.16/191.39 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_nat__gcd_Opsimps,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2] :
% 191.16/191.39 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)))
% 191.16/191.39 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.39 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 191.16/191.39 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.39 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_compl__unique,axiom,
% 191.16/191.39 ! [V_y,V_x,T_a] :
% 191.16/191.39 ( class_Lattices_Oboolean__algebra(T_a)
% 191.16/191.39 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 191.16/191.39 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 191.16/191.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 191.16/191.39 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 191.16/191.39 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.39 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.16/191.39 => ( V_A_2 = V_B_2
% 191.16/191.39 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.16/191.39 => ( ! [B_x] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.16/191.39 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 191.16/191.39 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UNIV__I,axiom,
% 191.16/191.39 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__lessThan__UNIV,axiom,
% 191.16/191.39 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_equiv__intrel,axiom,
% 191.16/191.39 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UNIV__not__empty,axiom,
% 191.16/191.39 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Un__UNIV__right,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Un__UNIV__left,axiom,
% 191.16/191.39 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_iso__tuple__UNIV__I,axiom,
% 191.16/191.39 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Int__UNIV__left,axiom,
% 191.16/191.39 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Int__UNIV__right,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 191.16/191.39
% 191.16/191.39 fof(fact_subset__UNIV,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_card__UNIV__unit,axiom,
% 191.16/191.39 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Pow__UNIV,axiom,
% 191.16/191.39 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_top__apply,axiom,
% 191.16/191.39 ! [V_x_2,T_c,T_b] :
% 191.16/191.39 ( class_Orderings_Otop(T_b)
% 191.16/191.39 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UNIV__Plus__UNIV,axiom,
% 191.16/191.39 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_infinite__UNIV__nat,axiom,
% 191.16/191.39 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__Plus__UNIV__iff,axiom,
% 191.16/191.39 ! [T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 191.16/191.39 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.39 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__fun__UNIVD2,axiom,
% 191.16/191.39 ! [T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 191.16/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__UNIV,axiom,
% 191.16/191.39 ! [T_b] :
% 191.16/191.39 ( class_Finite__Set_Ofinite(T_b)
% 191.16/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__option__UNIV,axiom,
% 191.16/191.39 ! [T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 191.16/191.39 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__Prod__UNIV,axiom,
% 191.16/191.39 ! [T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 191.16/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_range__composition,axiom,
% 191.16/191.39 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_top__greatest,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Orderings_Otop(T_a)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_infinite__UNIV__int,axiom,
% 191.16/191.39 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__eq,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.16/191.39 <=> V_x_2 = V_y_2 ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_injD,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.16/191.39 => V_x_2 = V_y_2 ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__int,axiom,
% 191.16/191.39 c_Fun_Oinj__on(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inf__top__left,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inf__top__right,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inf__eq__top__iff,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,T_b] :
% 191.16/191.39 ( class_Lattices_Obounded__lattice__top(T_b)
% 191.16/191.39 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 191.16/191.39 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 191.16/191.39 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_sup__top__left,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_sup__top__right,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__atMost__UNIV,axiom,
% 191.16/191.39 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_range__eqI,axiom,
% 191.16/191.39 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 191.16/191.39 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_rangeI,axiom,
% 191.16/191.39 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__atLeast__UNIV,axiom,
% 191.16/191.39 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Diff__UNIV,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_comp__surj,axiom,
% 191.16/191.39 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 191.16/191.39 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 191.16/191.39 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 191.16/191.39 ! [V_A_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.39 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__image__eq__iff,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 191.16/191.39 <=> V_A_2 = V_B_2 ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__comp,axiom,
% 191.16/191.39 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 191.16/191.39 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Compl__UNIV__eq,axiom,
% 191.16/191.39 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Compl__empty__eq,axiom,
% 191.16/191.39 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__compl,axiom,
% 191.16/191.39 ! [V_A_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.39 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 191.16/191.39 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Compl__partition2,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Compl__partition,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_SUP__UN__eq,axiom,
% 191.16/191.39 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 191.16/191.39 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__range__imageI,axiom,
% 191.16/191.39 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 191.16/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_the__inv__f__f,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__fun__UNIVD1,axiom,
% 191.16/191.39 ! [T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 191.16/191.39 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.16/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__of__nat,axiom,
% 191.16/191.39 ! [T_b] :
% 191.16/191.39 ( class_Nat_Osemiring__char__0(T_b)
% 191.16/191.39 => c_Fun_Oinj__on(tc_Nat_Onat,T_b,c_Nat_Osemiring__1__class_Oof__nat(T_b),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_atLeast__0,axiom,
% 191.16/191.39 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__fun,axiom,
% 191.16/191.39 ! [T_d,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_compl__top__eq,axiom,
% 191.16/191.39 ! [T_a] :
% 191.16/191.39 ( class_Lattices_Oboolean__algebra(T_a)
% 191.16/191.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_compl__bot__eq,axiom,
% 191.16/191.39 ! [T_a] :
% 191.16/191.39 ( class_Lattices_Oboolean__algebra(T_a)
% 191.16/191.39 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_compl__sup__top,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Lattices_Oboolean__algebra(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_sup__compl__top,axiom,
% 191.16/191.39 ! [V_x,T_a] :
% 191.16/191.39 ( class_Lattices_Oboolean__algebra(T_a)
% 191.16/191.39 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__image__mem__iff,axiom,
% 191.16/191.39 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.16/191.39 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_range__ex1__eq,axiom,
% 191.16/191.39 ! [V_b_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 191.16/191.39 <=> ? [B_x] :
% 191.16/191.39 ( V_b_2 = hAPP(V_f_2,B_x)
% 191.16/191.39 & ! [B_y] :
% 191.16/191.39 ( V_b_2 = hAPP(V_f_2,B_y)
% 191.16/191.39 => B_y = B_x ) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__UNIV__inj__surj,axiom,
% 191.16/191.39 ! [V_f_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.39 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__UNIV__surj__inj,axiom,
% 191.16/191.39 ! [V_f_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.39 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__image__subset__iff,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 191.16/191.39 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_image__Int,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_image__set__diff,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_surj__Compl__image__subset,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.16/191.39 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__UN__finite__eq,axiom,
% 191.16/191.39 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__singleton,axiom,
% 191.16/191.39 ! [T_b] : c_Fun_Oinj__on(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__UNIV__card__ge__0,axiom,
% 191.16/191.39 ! [T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_card__UNIV__bool,axiom,
% 191.16/191.39 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__image__Compl__subset,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_greaterThan__0,axiom,
% 191.16/191.39 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_SUP__UN__eq2,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 191.16/191.39 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_nat__gcd_Opinduct,axiom,
% 191.16/191.39 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.16/191.39 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2)))
% 191.16/191.39 => ( ! [B_x,B_y] :
% 191.16/191.39 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)))
% 191.16/191.39 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.39 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 191.16/191.39 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 191.16/191.39 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__finite2__subset,axiom,
% 191.16/191.39 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 191.16/191.39 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__finite2__eq,axiom,
% 191.16/191.39 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 191.16/191.39 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 191.16/191.39 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_top1I,axiom,
% 191.16/191.39 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Integ__def,axiom,
% 191.16/191.39 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_UN__finite__subset,axiom,
% 191.16/191.39 ! [V_C_2,V_A_2,T_b] :
% 191.16/191.39 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_equivp__equiv,axiom,
% 191.16/191.39 ! [V_A_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 191.16/191.39 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_equivp__transp,axiom,
% 191.16/191.39 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_equivp__symp,axiom,
% 191.16/191.39 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_equivp__reflp,axiom,
% 191.16/191.39 ! [V_x_2,V_R_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.16/191.39 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_equivp__def,axiom,
% 191.16/191.39 ! [V_R_2,T_b] :
% 191.16/191.39 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.16/191.39 <=> ! [B_x,B_y] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 191.16/191.39 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_identity__equivp,axiom,
% 191.16/191.39 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_Rep__Integ,axiom,
% 191.16/191.39 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_x_2)),c_Int_OInteg)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_type__definition__Integ,axiom,
% 191.16/191.39 c_Typedef_Otype__definition(tc_Int_Oint,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),c_Int_ORep__Integ,c_Int_OAbs__Integ,c_Int_OInteg) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_inj__vimage__singleton,axiom,
% 191.16/191.39 ! [V_a_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_a_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_accp__acc__eq,axiom,
% 191.16/191.39 ! [V_x_2,V_r_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 191.16/191.39 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimageI,axiom,
% 191.16/191.39 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 191.16/191.39 ( hAPP(V_f_2,V_a_2) = V_b_2
% 191.16/191.39 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__compose,axiom,
% 191.16/191.39 ! [V_x_2,V_f_2,V_g_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2)),V_x_2) = hAPP(c_Set_Ovimage(T_b,T_d,V_f_2),hAPP(c_Set_Ovimage(T_d,T_c,V_g_2),V_x_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__Compl,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__code,axiom,
% 191.16/191.39 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 191.16/191.39 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__mono,axiom,
% 191.16/191.39 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__Int,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__ident,axiom,
% 191.16/191.39 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimageI2,axiom,
% 191.16/191.39 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimageD,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__eq,axiom,
% 191.16/191.39 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 191.16/191.39 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__Un,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__empty,axiom,
% 191.16/191.39 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__Diff,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__UN,axiom,
% 191.16/191.39 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__UNIV,axiom,
% 191.16/191.39 ! [V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_image__vimage__subset,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))),V_A_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_surj__image__vimage__eq,axiom,
% 191.16/191.39 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.16/191.39 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.39 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = V_A_2 ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_acc__subset,axiom,
% 191.16/191.39 ! [V_R2_2,V_R1_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 191.16/191.39 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__singleton__eq,axiom,
% 191.16/191.39 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 191.16/191.39 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_vimage__insert,axiom,
% 191.16/191.39 ! [V_B_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)) ).
% 191.16/191.39
% 191.16/191.39 fof(fact_finite__vimageD,axiom,
% 191.16/191.39 ! [V_F_2,V_h_2,T_c,T_b] :
% 191.16/191.39 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 191.16/191.39 => ( hAPP(c_Set_Oimage(T_b,T_c,V_h_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))
% 191.16/191.39 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 191.16/191.39
% 191.16/191.40 fof(fact_vimage__subsetD,axiom,
% 191.16/191.40 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 191.16/191.40 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2)),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_image__vimage__eq,axiom,
% 191.16/191.40 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__vimageI,axiom,
% 191.16/191.40 ! [V_h_2,T_c,V_F_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.16/191.40 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_inj__vimage__image__eq,axiom,
% 191.16/191.40 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.40 => hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__const,axiom,
% 191.16/191.40 ! [T_c,V_A_2,V_c_2,T_b] :
% 191.16/191.40 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.16/191.40 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.16/191.40 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__eq__UN,axiom,
% 191.16/191.40 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_Ovimage(T_b,T_c,V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_acc__downward,axiom,
% 191.16/191.40 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_acc_Osimps,axiom,
% 191.16/191.40 ! [V_r_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.16/191.40 <=> ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__subsetI,axiom,
% 191.16/191.40 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 191.16/191.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)),V_A_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__if,axiom,
% 191.16/191.40 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 191.16/191.40 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.16/191.40 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.16/191.40 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.16/191.40 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 191.16/191.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.16/191.40 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.16/191.40 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 191.16/191.40 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 191.16/191.40 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))),V_c_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_type__definition_OAbs__image,axiom,
% 191.16/191.40 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.16/191.40 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.16/191.40 => hAPP(c_Set_Oimage(T_c,T_b,V_Abs_2),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_type__definition_ORep__range,axiom,
% 191.16/191.40 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.16/191.40 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.16/191.40 => hAPP(c_Set_Oimage(T_b,T_c,V_Rep_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_type__definition_OAbs__inject,axiom,
% 191.16/191.40 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.16/191.40 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 191.16/191.40 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 191.16/191.40 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_type__definition_ORep__inverse,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.16/191.40 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.16/191.40 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_type__definition_ORep__inject,axiom,
% 191.16/191.40 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.16/191.40 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.16/191.40 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 191.16/191.40 <=> V_x_2 = V_y_2 ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_type__definition_ORep,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.16/191.40 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_type__definition_OAbs__inverse,axiom,
% 191.16/191.40 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 191.16/191.40 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 191.16/191.40 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_max__extp_Oequations,axiom,
% 191.16/191.40 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 191.16/191.40 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 191.16/191.40 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 191.16/191.40 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 & ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 191.16/191.40 => ? [B_xa] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_max__ext_Ointros,axiom,
% 191.16/191.40 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 191.16/191.40 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 191.16/191.40 => ? [B_xa] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 191.16/191.40 ! [T_a] : c_Nitpick_Ozero__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nitpick_Oone__frac__def,axiom,
% 191.16/191.40 ! [T_a] : c_Nitpick_Oone__frac(T_a) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 191.16/191.40 ! [V_n,T_a] : c_Nitpick_Onumber__of__frac(T_a,V_n) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_n),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nitpick_Ofrac__def,axiom,
% 191.16/191.40 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_insert__fold1SetE,axiom,
% 191.16/191.40 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2)),V_x_2))
% 191.16/191.40 => ~ ! [B_a,B_A] :
% 191.16/191.40 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1Set_Oequations,axiom,
% 191.16/191.40 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2)),V_a3_2))
% 191.16/191.40 <=> ? [B_a,B_A] :
% 191.16/191.40 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 191.16/191.40 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 191.16/191.40 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_image__split__eq__Sigma,axiom,
% 191.16/191.40 ! [V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Set_Oimage(T_d,tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_Oimage(T_d,T_c,V_g_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_b),c_Set_Ovimage(T_d,T_b,V_f_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_A_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_SigmaI,axiom,
% 191.16/191.40 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__empty1,axiom,
% 191.16/191.40 ! [V_B_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__Diff__distrib1,axiom,
% 191.16/191.40 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Times__Diff__distrib1,axiom,
% 191.16/191.40 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__Diff__distrib2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Times__eq__cancel2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 191.16/191.40 => ( hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))
% 191.16/191.40 <=> V_A_2 = V_B_2 ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_card__cartesian__product,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__cartesian__product,axiom,
% 191.16/191.40 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Times__empty,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.16/191.40 ( hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))
% 191.16/191.40 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__empty2,axiom,
% 191.16/191.40 ! [V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Compl__Times__UNIV1,axiom,
% 191.16/191.40 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Compl__Times__UNIV2,axiom,
% 191.16/191.40 ! [V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setprod__cartesian__product,axiom,
% 191.16/191.40 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_d,T_b)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_c,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__Un__distrib2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Times__Un__distrib1,axiom,
% 191.16/191.40 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__Un__distrib1,axiom,
% 191.16/191.40 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_swap__product,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_prod(T_b,T_c)),hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__cartesian__product,axiom,
% 191.16/191.40 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_equiv__type,axiom,
% 191.16/191.40 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.40 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__Int__distrib1,axiom,
% 191.16/191.40 ! [V_C_2,V_J_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_J_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_C_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_J_2),V_C_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Times__Int__distrib1,axiom,
% 191.16/191.40 ! [V_C_2,V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_B_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_C_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__Int__distrib2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_I_2),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Id__on__subset__Times,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId__on(T_b,V_A_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_UNIV__Times__UNIV,axiom,
% 191.16/191.40 ! [T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_SigmaE2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 191.16/191.40 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_SigmaD2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_SigmaD1,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_mem__Sigma__iff,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 191.16/191.40 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_card__cartesian__product__singleton,axiom,
% 191.16/191.40 ! [V_A_2,V_x_2,T_c,T_b] : hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_A_2))) = hAPP(c_Finite__Set_Ocard(T_c),V_A_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Times__subset__cancel2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_B_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_C_2))))
% 191.16/191.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Image__subset,axiom,
% 191.16/191.40 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_C_2)),V_B_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__cartesian__productD1,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 191.16/191.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__cartesian__productD2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fst__image__times,axiom,
% 191.16/191.40 ! [V_A_2,T_c,T_b,V_B_2] :
% 191.16/191.40 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.40 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_c,c_Product__Type_Ofst(T_c,T_b)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2))) = V_A_2 ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_snd__image__times,axiom,
% 191.16/191.40 ! [V_B_2,T_c,T_b,V_A_2] :
% 191.16/191.40 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.40 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_c,c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))) = V_B_2 ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_refl__on__def,axiom,
% 191.16/191.40 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.40 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.40 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 191.16/191.40 & ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_insert__times__insert,axiom,
% 191.16/191.40 ! [V_B_2,V_b_2,V_A_2,V_a_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Set_Oinsert(T_c),V_b_2),V_B_2)))),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__equiv__class,axiom,
% 191.16/191.40 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__Times,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,tc_prod(T_c,T_d),V_f_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Ovimage(T_b,T_c,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_c,T_b,c_Product__Type_Ofst(T_c,T_d)),V_f_2)),V_A_2)),hAPP(c_Set_Ovimage(T_b,T_d,hAPP(c_Fun_Ocomp(tc_prod(T_c,T_d),T_d,T_b,c_Product__Type_Osnd(T_c,T_d)),V_f_2)),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_UN__Times__distrib,axiom,
% 191.16/191.40 ! [V_F_2,V_E_2,V_B_2,V_A_2,T_c,T_b,T_e,T_d] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(T_d,T_e),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_d,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_d),V_B_2))),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_e,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),tc_fun(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_d),c_Product__Type_OSigma(T_b,T_c)),V_E_2))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),T_e),c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b)),V_F_2)))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_E_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_F_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__def,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_b),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),V_B_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_c),c_Set_Oinsert(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__quotient,axiom,
% 191.16/191.40 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 191.16/191.40 ! [V_A_2,V_I_2,T_c,T_b] :
% 191.16/191.40 ? [B_f] :
% 191.16/191.40 ( c_Fun_Oinj__on(T_b,tc_prod(T_c,T_b),B_f,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,tc_prod(T_c,T_b),B_f),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2))),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_b),V_I_2),V_A_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_refl__onI,axiom,
% 191.16/191.40 ! [V_A_2,V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 191.16/191.40 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold__image__Sigma,axiom,
% 191.16/191.40 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.16/191.40 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBC(T_b,T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(T_d,tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d)),T_b),c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d))),V_g_2)),c_Groups_Oone__class_Oone(T_d))),V_B_2)),c_Groups_Oone__class_Oone(T_d)),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,tc_prod(T_b,T_c),c_Groups_Otimes__class_Otimes(T_d)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_g_2)),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setprod__Sigma,axiom,
% 191.16/191.40 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__Sigma,axiom,
% 191.16/191.40 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_card__SigmaI,axiom,
% 191.16/191.40 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 191.16/191.40 => hAPP(c_Finite__Set_Ocard(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),V_B_2)),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__SigmaI,axiom,
% 191.16/191.40 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_a] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_SigmaE,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 191.16/191.40 => ~ ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => ! [B_y] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 191.16/191.40 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__surj,axiom,
% 191.16/191.40 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 191.16/191.40 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_e,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 191.16/191.40 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_c,T_e),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__imageI,axiom,
% 191.16/191.40 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2))),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),tc_prod(T_d,T_e),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)),V_R_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fst__map__pair,axiom,
% 191.16/191.40 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__simp,axiom,
% 191.16/191.40 ! [V_b_2,V_a_2,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),V_a_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_a_2)),hAPP(V_g_2,V_b_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__ident,axiom,
% 191.16/191.40 ! [V_z_2,T_c,T_b] : hAPP(c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)),V_z_2) = V_z_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_snd__prod__fun,axiom,
% 191.16/191.40 ! [V_x_2,V_g_2,V_f_2,T_e,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Omap__pair(T_d,T_c,T_e,T_b,V_f_2,V_g_2),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fst__comp__map__pair,axiom,
% 191.16/191.40 ! [V_g_2,V_f_2,T_c,T_b,T_e,T_d] : hAPP(c_Fun_Ocomp(tc_prod(T_d,T_e),T_d,tc_prod(T_b,T_c),c_Product__Type_Ofst(T_d,T_e)),c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,tc_prod(T_b,T_c),V_f_2),c_Product__Type_Ofst(T_b,T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair_Ocomp,axiom,
% 191.16/191.40 ! [V_i_2,V_h_2,V_g_2,V_f_2,T_c,T_b,T_e,T_d,T_g,T_f] : hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f_2,V_g_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_h_2,V_i_2)) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g_2),V_i_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__compose,axiom,
% 191.16/191.40 ! [V_g2_2,V_g1_2,T_g,V_f2_2,V_f1_2,T_f,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,hAPP(c_Fun_Ocomp(T_f,T_d,T_b,V_f1_2),V_f2_2),hAPP(c_Fun_Ocomp(T_g,T_e,T_c,V_g1_2),V_g2_2)) = hAPP(c_Fun_Ocomp(tc_prod(T_f,T_g),tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_f1_2,V_g1_2)),c_Product__Type_Omap__pair(T_b,T_f,T_c,T_g,V_f2_2,V_g2_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair_Ocompositionality,axiom,
% 191.16/191.40 ! [V_prod_2,V_i_2,V_h_2,T_g,T_f,V_g_2,V_f_2,T_c,T_e,T_b,T_d] : hAPP(c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2),hAPP(c_Product__Type_Omap__pair(T_f,T_d,T_g,T_e,V_h_2,V_i_2),V_prod_2)) = hAPP(c_Product__Type_Omap__pair(T_f,T_b,T_g,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_f,V_f_2),V_h_2),hAPP(c_Fun_Ocomp(T_e,T_c,T_g,V_g_2),V_i_2)),V_prod_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_snd__comp__map__pair,axiom,
% 191.16/191.40 ! [V_g_2,V_f_2,T_c,T_b,T_d,T_e] : hAPP(c_Fun_Ocomp(tc_prod(T_e,T_d),T_d,tc_prod(T_b,T_c),c_Product__Type_Osnd(T_e,T_d)),c_Product__Type_Omap__pair(T_b,T_e,T_c,T_d,V_f_2,V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_d,tc_prod(T_b,T_c),V_g_2),c_Product__Type_Osnd(T_b,T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__def,axiom,
% 191.16/191.40 ! [V_g_2,V_f_2,T_e,T_c,T_d,T_b] : c_Product__Type_Omap__pair(T_b,T_d,T_c,T_e,V_f_2,V_g_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_d,T_e)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_c,T_e),tc_fun(T_c,tc_prod(T_d,T_e))),T_b),c_COMBB(T_e,tc_prod(T_d,T_e),T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_e,tc_prod(T_d,T_e)),T_b),c_Product__Type_OPair(T_d,T_e)),V_f_2))),V_g_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__surj__on,axiom,
% 191.16/191.40 ! [V_B_H_2,V_B_2,V_g_2,T_d,T_e,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 191.16/191.40 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 191.16/191.40 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 191.16/191.40 => hAPP(c_Set_Oimage(tc_prod(T_c,T_e),tc_prod(T_b,T_d),c_Product__Type_Omap__pair(T_c,T_b,T_e,T_d,V_f_2,V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_e),V_A_2),hAPP(c_COMBK(tc_fun(T_e,tc_HOL_Obool),T_c),V_B_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_H_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_H_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair__inj__on,axiom,
% 191.16/191.40 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.40 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.16/191.40 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 191.16/191.40 => c_Fun_Oinj__on(tc_prod(T_b,T_d),tc_prod(T_c,T_e),c_Product__Type_Omap__pair(T_b,T_c,T_d,T_e,V_f_2,V_g_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_B_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_prod__fun__imageE,axiom,
% 191.16/191.40 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_c_2),hAPP(c_Set_Oimage(tc_prod(T_d,T_e),tc_prod(T_b,T_c),c_Product__Type_Omap__pair(T_d,T_b,T_e,T_c,V_f_2,V_g_2)),V_R_2)))
% 191.16/191.40 => ~ ! [B_x,B_y] :
% 191.16/191.40 ( V_c_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_e)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_e),B_x),B_y)),V_R_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_nat0__intermed__int__val,axiom,
% 191.16/191.40 ! [V_k_2,V_f_2,V_n_2] :
% 191.16/191.40 ( ! [B_i] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 191.16/191.40 => ? [B_i] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 191.16/191.40 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_int__val__lemma,axiom,
% 191.16/191.40 ! [V_k_2,V_f_2,V_n_2] :
% 191.16/191.40 ( ! [B_i] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 191.16/191.40 => ? [B_i] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 191.16/191.40 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__Un,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.16/191.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__antimono,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setprod__pos__nat,axiom,
% 191.16/191.40 ! [V_f_2,V_S_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__singleton,axiom,
% 191.16/191.40 ! [V_a_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__singleton__def,axiom,
% 191.16/191.40 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 191.16/191.40 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 191.16/191.40 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_folding__one_Oeq__fold,axiom,
% 191.16/191.40 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.16/191.40 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__def,axiom,
% 191.16/191.40 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sup__fin_OF__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Olattice(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Inf__fin_OF__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Olattice(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Min_OF__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Max_OF__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__belowI,axiom,
% 191.16/191.40 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Osemilattice__inf(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_below__fold1__iff,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Osemilattice__inf(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 191.16/191.40 <=> ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_Ofold1__belowI,axiom,
% 191.16/191.40 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__insert__idem,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 191.16/191.40 <=> ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__below__iff,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 191.16/191.40 <=> ? [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__Un2,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.16/191.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_strict__below__fold1__iff,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 191.16/191.40 <=> ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__strict__below__iff,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 191.16/191.40 <=> ? [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__insert,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.40 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_semilattice__big_OF__eq,axiom,
% 191.16/191.40 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.16/191.40 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold1__in,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_hom__fold1__commute,axiom,
% 191.16/191.40 ! [V_N_2,V_h_2,T_b] :
% 191.16/191.40 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.16/191.40 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.16/191.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(V_h_2,hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_N_2)) = hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Rep__Integ__cases,axiom,
% 191.16/191.40 ! [V_y_2] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 191.16/191.40 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Rep__Integ__induct,axiom,
% 191.16/191.40 ! [V_Pa_2,V_y_2] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 191.16/191.40 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_card__less__Suc,axiom,
% 191.16/191.40 ! [V_i_2,V_M_2] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.16/191.40 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_CollectI,axiom,
% 191.16/191.40 ! [T_b,V_a_2,V_Pa_2] :
% 191.16/191.40 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Collect__conjI,axiom,
% 191.16/191.40 ! [V_Qa_2,V_Pa_2,T_b] :
% 191.16/191.40 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) )
% 191.16/191.40 => 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)))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Collect__less__nat,axiom,
% 191.16/191.40 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Collect__le__nat,axiom,
% 191.16/191.40 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__mem__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_mem__Collect__eq,axiom,
% 191.16/191.40 ! [V_Pa_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_CollectD,axiom,
% 191.16/191.40 ! [V_Pa_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_CollectE,axiom,
% 191.16/191.40 ! [V_Pa_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_UNIV__def,axiom,
% 191.16/191.40 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Collect__disjI,axiom,
% 191.16/191.40 ! [V_Qa_2,V_Pa_2,T_b] :
% 191.16/191.40 ( 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))))
% 191.16/191.40 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_insert__Collect,axiom,
% 191.16/191.40 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_empty__def,axiom,
% 191.16/191.40 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_empty__Collect__eq,axiom,
% 191.16/191.40 ! [V_Pa_2,T_b] :
% 191.16/191.40 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 191.16/191.40 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__empty__eq,axiom,
% 191.16/191.40 ! [V_Pa_2,T_b] :
% 191.16/191.40 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__disj__eq,axiom,
% 191.16/191.40 ! [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)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__conj__eq,axiom,
% 191.16/191.40 ! [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)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__def,axiom,
% 191.16/191.40 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__neg__eq,axiom,
% 191.16/191.40 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__Collect__eq,axiom,
% 191.16/191.40 ! [V_Pa_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__split,axiom,
% 191.16/191.40 ! [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))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_SetCompr__Sigma__eq,axiom,
% 191.16/191.40 ! [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)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_insert__compr,axiom,
% 191.16/191.40 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_insert__compr__raw,axiom,
% 191.16/191.40 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Un__def,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Int__def,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Int__Collect,axiom,
% 191.16/191.40 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))))
% 191.16/191.40 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.40 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__conv__if,axiom,
% 191.16/191.40 ! [T_b,V_a_2,V_Pa_2] :
% 191.16/191.40 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.16/191.40 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 191.16/191.40 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.16/191.40 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__conv__if2,axiom,
% 191.16/191.40 ! [T_b,V_a_2,V_Pa_2] :
% 191.16/191.40 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.16/191.40 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 191.16/191.40 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.16/191.40 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_singleton__conv,axiom,
% 191.16/191.40 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_singleton__conv2,axiom,
% 191.16/191.40 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_set__diff__eq,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Collect__not,axiom,
% 191.16/191.40 ! [V_Pa_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))
% 191.16/191.40 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_insert__def,axiom,
% 191.16/191.40 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Compl__eq,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__def,axiom,
% 191.16/191.40 ! [V_B_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(T_c)),V_f_2)),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Collect__imp__eq,axiom,
% 191.16/191.40 ! [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)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__M__bounded__by__nat,axiom,
% 191.16/191.40 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__setsum__restrict,axiom,
% 191.16/191.40 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_if__image__distrib,axiom,
% 191.16/191.40 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_nat__seg__image__imp__finite,axiom,
% 191.16/191.40 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 191.16/191.40 ( 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)))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__restrict__set_H,axiom,
% 191.16/191.40 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__image__gen,axiom,
% 191.16/191.40 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Image__singleton,axiom,
% 191.16/191.40 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__cases,axiom,
% 191.16/191.40 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_card__less__Suc2,axiom,
% 191.16/191.40 ! [V_i_2,V_M_2] :
% 191.16/191.40 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.16/191.40 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_card__less,axiom,
% 191.16/191.40 ! [V_i_2,V_M_2] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.16/191.40 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__multicount,axiom,
% 191.16/191.40 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 191.16/191.40 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.16/191.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Collect__subsets,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Pow__Compl,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Pow__def,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Collect__bounded__ex,axiom,
% 191.16/191.40 ! [V_Qa_2,T_c,V_Pa_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 => ( 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)))))
% 191.16/191.40 <=> ! [B_y] :
% 191.16/191.40 ( hBOOL(hAPP(V_Pa_2,B_y))
% 191.16/191.40 => 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)))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__image__set,axiom,
% 191.16/191.40 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_inj__graph,axiom,
% 191.16/191.40 ! [T_c,T_b] : c_Fun_Oinj__on(tc_fun(T_b,T_c),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Set_OCollect(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,T_c)),c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool)),hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,T_c,tc_HOL_Obool),c_fequal)))),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 191.16/191.40 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__psubset__def,axiom,
% 191.16/191.40 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_inv__image__def,axiom,
% 191.16/191.40 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 191.16/191.40 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 191.16/191.40 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_add__Min__commute,axiom,
% 191.16/191.40 ! [V_k_2,V_N_2,T_b] :
% 191.16/191.40 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.16/191.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_add__Max__commute,axiom,
% 191.16/191.40 ! [V_k_2,V_N_2,T_b] :
% 191.16/191.40 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.16/191.40 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_sup__Inf1__distrib,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Odistrib__lattice(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_sup__Inf2__distrib,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Odistrib__lattice(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.16/191.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_inf__Sup1__distrib,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Odistrib__lattice(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_inf__Sup2__distrib,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Lattices_Odistrib__lattice(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.16/191.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.16/191.40 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nitpick_Oprod__def,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_int__ge__less__than2__def,axiom,
% 191.16/191.40 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_int__ge__less__than__def,axiom,
% 191.16/191.40 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_reflp__def,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Predicate_Oreflp(T_b,V_r_2)
% 191.16/191.40 <=> c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 191.16/191.40 ( class_Rings_Osemiring__0(T_d)
% 191.16/191.40 => ( c_Fun_Oinj__on(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))
% 191.16/191.40 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_d),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_d),c_Fun_Oid(T_d)),hAPP(c_Set_OCollect(T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_d),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_d),hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj))),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_c,T_d)),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),T_d),c_COMBB(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,tc_HOL_Obool)),T_d),c_COMBB(T_d,tc_HOL_Obool,T_c)),c_fequal))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,T_d),tc_fun(T_c,T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_d),tc_fun(tc_fun(T_c,T_d),tc_fun(T_c,T_d)),T_b),c_COMBB(T_d,T_d,T_c)),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,T_d),T_b),c_Groups_Otimes__class_Otimes(T_d)),V_f_2))),V_g_2)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2))))))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_lfp__induct__set,axiom,
% 191.16/191.40 ! [V_Pa_2,V_f_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)))
% 191.16/191.40 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)),hAPP(c_Set_OCollect(T_b),V_Pa_2)))))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_inj__on__id,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair_Oidentity,axiom,
% 191.16/191.40 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_COMBI(T_b),c_COMBI(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_map__pair_Oid,axiom,
% 191.16/191.40 ! [T_c,T_b] : c_Product__Type_Omap__pair(T_b,T_b,T_c,T_c,c_Fun_Oid(T_b),c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_vimage__id,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_id__apply,axiom,
% 191.16/191.40 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 191.16/191.40
% 191.16/191.40 fof(fact_reflpE,axiom,
% 191.16/191.40 ! [V_x_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Predicate_Oreflp(T_b,V_r_2)
% 191.16/191.40 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_id__def,axiom,
% 191.16/191.40 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_apfst__id,axiom,
% 191.16/191.40 ! [T_c,T_b] : c_Product__Type_Oapfst(T_b,T_b,T_c,c_Fun_Oid(T_b)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_apsnd__id,axiom,
% 191.16/191.40 ! [T_b,T_c] : c_Product__Type_Oapsnd(T_c,T_c,T_b,c_Fun_Oid(T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_o__eq__id__dest,axiom,
% 191.16/191.40 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.16/191.40 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_c_2)
% 191.16/191.40 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_o__id,axiom,
% 191.16/191.40 ! [V_f_2,T_c,T_b] : hAPP(c_Fun_Ocomp(T_b,T_c,T_b,V_f_2),c_Fun_Oid(T_b)) = V_f_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_id__o,axiom,
% 191.16/191.40 ! [V_g_2,T_b,T_c] : hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_g_2) = V_g_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_image__id,axiom,
% 191.16/191.40 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_of__int__eq__id,axiom,
% 191.16/191.40 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_surj__id,axiom,
% 191.16/191.40 ! [T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_folding_Oempty,axiom,
% 191.16/191.40 ! [V_F_2,V_f_2,T_c,T_b] :
% 191.16/191.40 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.16/191.40 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_apfst__def,axiom,
% 191.16/191.40 ! [V_f_2,T_c,T_d,T_b] : c_Product__Type_Oapfst(T_b,T_d,T_c,V_f_2) = c_Product__Type_Omap__pair(T_b,T_d,T_c,T_c,V_f_2,c_Fun_Oid(T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_apsnd__def,axiom,
% 191.16/191.40 ! [V_f_2,T_b,T_d,T_c] : c_Product__Type_Oapsnd(T_c,T_d,T_b,V_f_2) = c_Product__Type_Omap__pair(T_b,T_b,T_c,T_d,c_Fun_Oid(T_b),V_f_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_split__Pair,axiom,
% 191.16/191.40 ! [T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)) = c_Fun_Oid(tc_prod(T_b,T_c)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__reindex__id,axiom,
% 191.16/191.40 ! [V_B_2,V_f_2,T_b,T_c] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setprod__reindex__id,axiom,
% 191.16/191.40 ! [V_B_2,V_f_2,T_b,T_c] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.16/191.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_c),c_Fun_Oid(T_c)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_def__lfp__induct__set,axiom,
% 191.16/191.40 ! [V_Pa_2,V_a_2,V_f_2,T_b,V_A_2] :
% 191.16/191.40 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.16/191.40 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(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)))))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_def__Collect__coinduct,axiom,
% 191.16/191.40 ! [V_X_2,V_a_2,V_Pa_2,T_b,V_A_2] :
% 191.16/191.40 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(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),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_Pa_2))
% 191.16/191.40 => ( c_Orderings_Oorder__class_Omono(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(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_OCollect(T_b)),V_Pa_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.16/191.40 => ( ! [B_z] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_A_2)),B_z)) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_lfp__induct2,axiom,
% 191.16/191.40 ! [V_Pa_2,V_f_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( 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)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)))
% 191.16/191.40 => ( c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)
% 191.16/191.40 => ( ! [B_a,B_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)),hAPP(V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_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),V_Pa_2))))))
% 191.16/191.40 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(V_Pa_2,V_a_2),V_b_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__multicount__gen,axiom,
% 191.16/191.40 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 191.16/191.40 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__conv__nat__seg__image,axiom,
% 191.16/191.40 ! [V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__def,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_d))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),tc_fun(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool),T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBS(T_d,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(T_d,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_d),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBC(T_d,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_b,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_d),tc_fun(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_b,T_d)))),c_Product__Type_OPair(T_b,T_d)))),V_r_2))))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_d,T_c)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_d,T_c),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_d,T_c)))),hAPP(c_COMBC(T_d,T_c,tc_prod(T_d,T_c)),c_Product__Type_OPair(T_d,T_c))))),V_s_2))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__compI,axiom,
% 191.16/191.40 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_b_2),V_c_2)),V_s_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_a_2),V_c_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__UNION__distrib,axiom,
% 191.16/191.40 ! [V_r_2,V_I_2,T_e,V_s_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_I_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_e),hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_s_2)),V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__UNION__distrib2,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,V_I_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_I_2),V_r_2)),V_s_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_e,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBC(T_e,tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),T_e),c_Relation_Orel__comp(T_b,T_d,T_c)),V_r_2)),V_s_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__empty2,axiom,
% 191.16/191.40 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__empty1,axiom,
% 191.16/191.40 ! [V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool))),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__distrib2,axiom,
% 191.16/191.40 ! [V_R_2,V_T_2,V_S_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),V_S_2),V_T_2)),V_R_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_S_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_T_2),V_R_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__distrib,axiom,
% 191.16/191.40 ! [V_T_2,V_S_2,V_R_2,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_d,T_c),tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_S_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_R_2),V_T_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__mono,axiom,
% 191.16/191.40 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_H_2),V_s_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_H_2),V_s_H_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_O__assoc,axiom,
% 191.16/191.40 ! [V_T_2,V_S_2,V_R_2,T_e,T_c,T_d,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_d),V_R_2),V_S_2)),V_T_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_e,T_c),V_R_2),hAPP(hAPP(c_Relation_Orel__comp(T_e,T_d,T_c),V_S_2),V_T_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_union__comp__emptyR,axiom,
% 191.16/191.40 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.16/191.40 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.16/191.40 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_B_2),V_C_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_union__comp__emptyL,axiom,
% 191.16/191.40 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 191.16/191.40 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_A_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.16/191.40 => ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_B_2),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.16/191.40 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rel__comp__subset__Sigma,axiom,
% 191.16/191.40 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2))))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),V_s_2),hAPP(hAPP(c_Product__Type_OSigma(T_c,T_d),V_B_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_c),V_C_2))))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_d),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_d),V_A_2),hAPP(c_COMBK(tc_fun(T_d,tc_HOL_Obool),T_b),V_C_2)))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_max__ext__compat,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__ext__compat,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_R_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(T_b,V_S_2)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_HOL_Obool)))))),c_Wellfounded_Omin__ext(T_b,V_R_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_pred__comp__rel__comp__eq,axiom,
% 191.16/191.40 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d)))),V_s_2)),V_x_2),V_y_2))
% 191.16/191.40 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_reduction__pairI,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 191.16/191.40 => c_FunDef_Oreduction__pair(T_b,hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__Collect__split,axiom,
% 191.16/191.40 ! [V_Pa_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__less__than,axiom,
% 191.16/191.40 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_pred__comp_Ointros,axiom,
% 191.16/191.40 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a_2),V_c_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__empty,axiom,
% 191.16/191.40 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__inv__image,axiom,
% 191.16/191.40 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__lex__prod,axiom,
% 191.16/191.40 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 191.16/191.40 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 191.16/191.40 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__measure,axiom,
% 191.16/191.40 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_RangeI,axiom,
% 191.16/191.40 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__comp__self,axiom,
% 191.16/191.40 ! [V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.16/191.40 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__finite__psubset,axiom,
% 191.16/191.40 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__mlex,axiom,
% 191.16/191.40 ! [V_f_2,V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.16/191.40 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__Id__on,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__pair__less,axiom,
% 191.16/191.40 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_min__ext__wf,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__Int2,axiom,
% 191.16/191.40 ! [V_r_H_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_H_2),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__Int1,axiom,
% 191.16/191.40 ! [V_r_H_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__subset,axiom,
% 191.16/191.40 ! [V_p_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_p_2),V_r_2))
% 191.16/191.40 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_pred__comp_Oequations,axiom,
% 191.16/191.40 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_a1_2),V_a3_2))
% 191.16/191.40 <=> ? [B_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 191.16/191.40 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_max__ext__wf,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__less,axiom,
% 191.16/191.40 c_Wellfounded_Owf(tc_Nat_Onat,hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__irrefl,axiom,
% 191.16/191.40 ! [V_a_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__asym,axiom,
% 191.16/191.40 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__not__sym,axiom,
% 191.16/191.40 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__not__refl,axiom,
% 191.16/191.40 ! [V_a_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__int__ge__less__than2,axiom,
% 191.16/191.40 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__int__ge__less__than,axiom,
% 191.16/191.40 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_acc__wfD,axiom,
% 191.16/191.40 ! [V_x_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__acc__iff,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__no__loop,axiom,
% 191.16/191.40 ! [V_R_2,T_b] :
% 191.16/191.40 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.16/191.40 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__union__merge,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 191.16/191.40 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_S_2),V_R_2))),V_S_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__empty,axiom,
% 191.16/191.40 ! [T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__empty__iff,axiom,
% 191.16/191.40 ! [V_r_2,T_b,T_c] :
% 191.16/191.40 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__Un__eq,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Range,axiom,
% 191.16/191.40 ! [V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_snd__eq__Range,axiom,
% 191.16/191.40 ! [V_R_2,T_b,T_c] : hAPP(c_Set_Oimage(tc_prod(T_c,T_b),T_b,c_Product__Type_Osnd(T_c,T_b)),V_R_2) = hAPP(c_Relation_ORange(T_c,T_b),V_R_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 <=> ~ ? [B_f] :
% 191.16/191.40 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfE__pf,axiom,
% 191.16/191.40 ! [V_A_2,V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),V_A_2)))
% 191.16/191.40 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__union__compatible,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.16/191.40 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 191.16/191.40 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__iff,axiom,
% 191.16/191.40 ! [V_r_2,T_c,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 191.16/191.40 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_y),V_a_2)),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf,axiom,
% 191.16/191.40 ! [T_b] :
% 191.16/191.40 ( class_Orderings_Owellorder(T_b)
% 191.16/191.40 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless(T_b)))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_reduction__pair__def,axiom,
% 191.16/191.40 ! [V_Pa_2,T_b] :
% 191.16/191.40 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 191.16/191.40 <=> ( c_Wellfounded_Owf(T_b,hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_reduction__pair__lemma,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 191.16/191.40 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_Pa_2)))
% 191.16/191.40 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 191.16/191.40 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__insert,axiom,
% 191.16/191.40 ! [V_r_2,V_b_2,V_a_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__Int__subset,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__Diff__subset,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ORange(T_c,T_b),V_A_2)),hAPP(c_Relation_ORange(T_c,T_b),V_B_2))),hAPP(c_Relation_ORange(T_c,T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__map__pair__image,axiom,
% 191.16/191.40 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.40 => c_Wellfounded_Owf(T_c,hAPP(c_Set_Oimage(tc_prod(T_b,T_b),tc_prod(T_c,T_c),c_Product__Type_Omap__pair(T_b,T_c,T_b,T_c,V_f_2,V_f_2)),V_r_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_RangeP__Range__eq,axiom,
% 191.16/191.40 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 191.16/191.40 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__lenlex,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_RangeE,axiom,
% 191.16/191.40 ! [V_r_2,T_c,V_b_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 191.16/191.40 => ~ ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_RangeP_Ointros,axiom,
% 191.16/191.40 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.16/191.40 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_RangeP_Oequations,axiom,
% 191.16/191.40 ! [V_a2_2,V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 191.16/191.40 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_pred__nat__def,axiom,
% 191.16/191.40 c_Wellfounded_Opred__nat = hAPP(c_Set_OCollect(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_fequal)),c_Nat_OSuc))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__lex,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__lexn,axiom,
% 191.16/191.40 ! [V_n_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_lex__def,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_List_Olex(T_b,V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_List_Olexn(T_b,V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_lexn_Osimps_I1_J,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__pred__nat,axiom,
% 191.16/191.40 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__Un,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 191.16/191.40 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_s_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 => c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__same__fst,axiom,
% 191.16/191.40 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 191.16/191.40 ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.40 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 191.16/191.40 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__if__measure,axiom,
% 191.16/191.40 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 191.16/191.40 ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,hAPP(V_g_2,B_x))),hAPP(V_f_2,B_x))) )
% 191.16/191.40 => c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_Pa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),V_g_2))))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_DomainI,axiom,
% 191.16/191.40 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__Id__on,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = V_A_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__empty,axiom,
% 191.16/191.40 ! [T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__empty__iff,axiom,
% 191.16/191.40 ! [V_r_2,T_c,T_b] :
% 191.16/191.40 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__mono,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_s_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__Un__eq,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__Domain,axiom,
% 191.16/191.40 ! [V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fst__eq__Domain,axiom,
% 191.16/191.40 ! [V_R_2,T_c,T_b] : hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_b,c_Product__Type_Ofst(T_b,T_c)),V_R_2) = hAPP(c_Relation_ODomain(T_b,T_c),V_R_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__iff,axiom,
% 191.16/191.40 ! [V_r_2,T_c,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 191.16/191.40 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__insert,axiom,
% 191.16/191.40 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__Int__subset,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__Diff__subset,axiom,
% 191.16/191.40 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_c),V_A_2)),hAPP(c_Relation_ODomain(T_b,T_c),V_B_2))),hAPP(c_Relation_ODomain(T_b,T_c),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Field__def,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_ODomain(T_b,T_b),V_r_2)),hAPP(c_Relation_ORange(T_b,T_b),V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__Collect__split,axiom,
% 191.16/191.40 ! [V_Pa_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),V_Pa_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_DomainP__Domain__eq,axiom,
% 191.16/191.40 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2))
% 191.16/191.40 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_DomainE,axiom,
% 191.16/191.40 ! [V_r_2,T_c,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 191.16/191.40 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),B_y)),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfP__def,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.16/191.40 <=> c_Wellfounded_Owf(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_DomainP_Ointros,axiom,
% 191.16/191.40 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.16/191.40 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfP__empty,axiom,
% 191.16/191.40 ! [T_b] : c_Wellfounded_OwfP(T_b,hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfP__accp__iff,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.16/191.40 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_accp__wfPD,axiom,
% 191.16/191.40 ! [V_x_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.16/191.40 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfP__subset,axiom,
% 191.16/191.40 ! [V_p_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_p_2),V_r_2))
% 191.16/191.40 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_DomainP_Oequations,axiom,
% 191.16/191.40 ! [V_a1_2,V_r_2,T_c,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 191.16/191.40 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__in__rel,axiom,
% 191.16/191.40 ! [V_R_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_R_2)
% 191.16/191.40 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfP__wf__eq,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_OwfP(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2))
% 191.16/191.40 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfP__acyclicP,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_pigeonhole__infinite,axiom,
% 191.16/191.40 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.16/191.40 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.16/191.40 => ? [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Abs__Integ__cases,axiom,
% 191.16/191.40 ! [V_x_2] :
% 191.16/191.40 ~ ! [B_y] :
% 191.16/191.40 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_acyclic__subset,axiom,
% 191.16/191.40 ! [V_r_2,V_s_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.40 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__acyclic,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.16/191.40 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__acyclic__wf,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.16/191.40 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Nitpick_Owf_H__def,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 191.16/191.40 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.16/191.40 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.16/191.40 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Abs__Integ__induct,axiom,
% 191.16/191.40 ! [V_x_2,V_Pa_2] :
% 191.16/191.40 ( ! [B_y] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__UN__I,axiom,
% 191.16/191.40 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_a] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 191.16/191.40 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfP__SUP,axiom,
% 191.16/191.40 ! [T_b,V_r_2,T_c] :
% 191.16/191.40 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 191.16/191.40 => ( ! [B_i,B_j] :
% 191.16/191.40 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 191.16/191.40 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.40 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_mem__splitI2,axiom,
% 191.16/191.40 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 191.16/191.40 ( ! [B_a,B_b] :
% 191.16/191.40 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_mem__splitE,axiom,
% 191.16/191.40 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 191.16/191.40 => ~ ! [B_x,B_y] :
% 191.16/191.40 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 191.16/191.40 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__SucD,axiom,
% 191.16/191.40 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 191.16/191.40 ( 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)
% 191.16/191.40 => ? [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Eps__split,axiom,
% 191.16/191.40 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_nat__mod__eq__lemma,axiom,
% 191.16/191.40 ! [V_y,V_n,V_x] :
% 191.16/191.40 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 191.16/191.40 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_some__sym__eq__trivial,axiom,
% 191.16/191.40 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_some__eq__trivial,axiom,
% 191.16/191.40 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)) = V_x_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_some__eq__ex,axiom,
% 191.16/191.40 ! [T_b,V_Pa_2] :
% 191.16/191.40 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 191.16/191.40 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_someI__ex,axiom,
% 191.16/191.40 ! [T_b,V_Pa_2] :
% 191.16/191.40 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_someI,axiom,
% 191.16/191.40 ! [T_b,V_x_2,V_Pa_2] :
% 191.16/191.40 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_tfl__some,axiom,
% 191.16/191.40 ! [T_b,B_P] :
% 191.16/191.40 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 191.16/191.40 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_exE__some,axiom,
% 191.16/191.40 ! [T_b,V_c_2,V_Pa_2] :
% 191.16/191.40 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.16/191.40 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_split__paired__Eps,axiom,
% 191.16/191.40 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_2) = c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Eps__split__eq,axiom,
% 191.16/191.40 ! [V_y_2,V_x_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wfI__pf,axiom,
% 191.16/191.40 ! [V_R_2,T_b] :
% 191.16/191.40 ( ! [B_A] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 191.16/191.40 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 191.16/191.40 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Sigma__mono,axiom,
% 191.16/191.40 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_acc_OaccI,axiom,
% 191.16/191.40 ! [V_r_2,V_x_2,T_b] :
% 191.16/191.40 ( ! [B_y] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_not__acc__down,axiom,
% 191.16/191.40 ! [V_R_2,V_x_2,T_b] :
% 191.16/191.40 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 191.16/191.40 => ~ ! [B_z] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold__image__1,axiom,
% 191.16/191.40 ! [V_f_2,V_S_2,T_b,T_c] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.16/191.40 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.16/191.40 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_max__ext_Osimps,axiom,
% 191.16/191.40 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 191.16/191.40 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 191.16/191.40 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 191.16/191.40 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.40 & ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 191.16/191.40 => ? [B_xa] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_mod__induct__0,axiom,
% 191.16/191.40 ! [V_i_2,V_Pa_2,V_p_2] :
% 191.16/191.40 ( ! [B_i] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 191.16/191.40 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 191.16/191.40 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 191.16/191.40 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_fold__image__cong,axiom,
% 191.16/191.40 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.16/191.40 ( class_Groups_Oab__semigroup__mult(T_c)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.40 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 191.16/191.40 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),V_z_2),V_A_2) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Max__eqI,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_y] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Min__eqI,axiom,
% 191.16/191.40 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.40 ( class_Orderings_Olinorder(T_b)
% 191.16/191.40 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.40 => ( ! [B_y] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.40 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__no__infinite__down__chainE,axiom,
% 191.16/191.40 ! [V_f_2,V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__reindex__cong,axiom,
% 191.16/191.40 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 191.16/191.40 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.16/191.40 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.16/191.40 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 191.16/191.40 => ( ! [B_a] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.16/191.40 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_scomp__unfold,axiom,
% 191.16/191.40 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_setsum__ivl__cong,axiom,
% 191.16/191.40 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 191.16/191.40 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.40 & class_Orderings_Oord(T_b) )
% 191.16/191.40 => ( V_a_2 = V_c_2
% 191.16/191.40 => ( V_b_2 = V_d_2
% 191.16/191.40 => ( ! [B_x] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 191.16/191.40 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 191.16/191.40 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_less__eq,axiom,
% 191.16/191.40 ! [V_n_2,V_m_2] :
% 191.16/191.40 ( 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)))
% 191.16/191.40 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Pair__scomp,axiom,
% 191.16/191.40 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_scomp__Pair,axiom,
% 191.16/191.40 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_scomp__scomp,axiom,
% 191.16/191.40 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_scomp__apply,axiom,
% 191.16/191.40 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_wf__trancl,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.40 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_scomp__def,axiom,
% 191.16/191.40 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_less__than__def,axiom,
% 191.16/191.40 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_acyclic__def,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.16/191.40 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl_Or__into__trancl,axiom,
% 191.16/191.40 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__subset__Field2,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__Int__subset,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_r__into__trancl_H,axiom,
% 191.16/191.40 ! [V_r_2,V_p_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__empty,axiom,
% 191.16/191.40 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__domain,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__range,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_finite__trancl,axiom,
% 191.16/191.40 ! [V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_r__r__into__trancl,axiom,
% 191.16/191.40 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__into__trancl2,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__trans,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__mono,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__unfold,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__subset__Sigma,axiom,
% 191.16/191.40 ! [V_A_2,V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_iterate_Osimps,axiom,
% 191.16/191.40 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 191.16/191.40 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.40 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 191.16/191.40 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.40 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__insert,axiom,
% 191.16/191.40 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_reflcl__set__eq,axiom,
% 191.16/191.40 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),c_fequal),V_x_2),V_y_2))
% 191.16/191.40 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_r__into__rtrancl,axiom,
% 191.16/191.40 ! [V_r_2,V_p_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 191.16/191.40 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_IdI,axiom,
% 191.16/191.40 ! [V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Relation_OId(T_b))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__into__rtrancl,axiom,
% 191.16/191.40 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__unfold__right,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__unfold__left,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_reflcl__trancl,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__reflcl,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__rtrancl__absorb,axiom,
% 191.16/191.40 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__trancl__absorb,axiom,
% 191.16/191.40 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__empty,axiom,
% 191.16/191.40 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__rtrancl,axiom,
% 191.16/191.40 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__trans,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_refl__rtrancl,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__idemp,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__r__diff__Id,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__subset__rtrancl,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__subset,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.40 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__mono,axiom,
% 191.16/191.40 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__reflcl,axiom,
% 191.16/191.40 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__Un__rtrancl,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__reflcl__absorb,axiom,
% 191.16/191.40 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__Un__subset,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Image__closed__trancl,axiom,
% 191.16/191.40 ! [V_X_2,V_r_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 191.16/191.40 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__rtrancl,axiom,
% 191.16/191.40 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_in__rtrancl__UnI,axiom,
% 191.16/191.40 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 191.16/191.40 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.40 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__unfold,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__Int__subset,axiom,
% 191.16/191.40 ! [V_r_2,V_s_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_r__comp__rtrancl__eq,axiom,
% 191.16/191.40 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__idemp__self__comp,axiom,
% 191.16/191.40 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Id__O__R,axiom,
% 191.16/191.40 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_c),c_Relation_OId(T_b)),V_R_2) = V_R_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_R__O__Id,axiom,
% 191.16/191.40 ! [V_R_2,T_c,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_c),V_R_2),c_Relation_OId(T_c)) = V_R_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Image__Id,axiom,
% 191.16/191.40 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 191.16/191.40
% 191.16/191.40 fof(fact_pair__in__Id__conv,axiom,
% 191.16/191.40 ! [V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 191.16/191.40 <=> V_a_2 = V_b_2 ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__eq__or__trancl,axiom,
% 191.16/191.40 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.40 <=> ( V_x_2 = V_y_2
% 191.16/191.40 | ( V_x_2 != V_y_2
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__into__trancl2,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtranclD,axiom,
% 191.16/191.40 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.40 => ( V_a_2 = V_b_2
% 191.16/191.40 | ( V_a_2 != V_b_2
% 191.16/191.40 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__into__trancl1,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_trancl__rtrancl__trancl,axiom,
% 191.16/191.40 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_rtrancl__trancl__trancl,axiom,
% 191.16/191.40 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.40 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.40 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.40 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Domain__Id,axiom,
% 191.16/191.40 ! [T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Range__Id,axiom,
% 191.16/191.40 ! [T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Relation_OId(T_b)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_refl__Id,axiom,
% 191.16/191.40 ! [T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Relation_OId(T_b)) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_pair__leq__def,axiom,
% 191.16/191.40 c_FunDef_Opair__leq = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_HOL_Obool)),c_FunDef_Opair__less),c_Relation_OId(tc_prod(tc_Nat_Onat,tc_Nat_Onat))) ).
% 191.16/191.40
% 191.16/191.40 fof(fact_Not__Domain__rtrancl,axiom,
% 191.16/191.40 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 191.16/191.41 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.41 <=> V_x_2 = V_y_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_acc__downwards__aux,axiom,
% 191.16/191.41 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_acc__downwards,axiom,
% 191.16/191.41 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_wf__insert,axiom,
% 191.16/191.41 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 191.16/191.41 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 191.16/191.41 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.41 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_acyclic__insert,axiom,
% 191.16/191.41 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 191.16/191.41 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 191.16/191.41 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.16/191.41 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_refl__reflcl,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Id__def,axiom,
% 191.16/191.41 ! [T_b] : c_Relation_OId(T_b) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_b),tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_HOL_Obool)),tc_prod(T_b,T_b)),c_COMBB(tc_prod(T_b,T_b),tc_HOL_Obool,T_b)),c_fequal)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_irrefl__diff__Id,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_Relation_Oirrefl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_pred__nat__trancl__eq__le,axiom,
% 191.16/191.41 ! [V_n_2,V_m_2] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_trancl__subset__Sigma__aux,axiom,
% 191.16/191.41 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 191.16/191.41 => ( V_a_2 = V_b_2
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_log_Osimps,axiom,
% 191.16/191.41 ! [V_i,V_b] :
% 191.16/191.41 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 191.16/191.41 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 191.16/191.41 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 191.16/191.41 => c_Random_Olog(V_b,V_i) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),c_Random_Olog(V_b,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_i),V_b))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_minus__shift__def,axiom,
% 191.16/191.41 ! [V_r,V_l,V_k] :
% 191.16/191.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.16/191.41 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_r),V_k)),V_l) )
% 191.16/191.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.16/191.41 => c_Random_Ominus__shift(V_r,V_k,V_l) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k),V_l) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_inc__shift__def,axiom,
% 191.16/191.41 ! [V_k,V_v] :
% 191.16/191.41 ( ( V_v = V_k
% 191.16/191.41 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 191.16/191.41 & ( V_v != V_k
% 191.16/191.41 => c_Random_Oinc__shift(V_v,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_k),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_range,axiom,
% 191.16/191.41 ! [V_s,V_k] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_k))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Orange(V_k),V_s))),V_k)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_irrefl__tranclI,axiom,
% 191.16/191.41 ! [V_x_2,V_r_2,T_b] :
% 191.16/191.41 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__Id,axiom,
% 191.16/191.41 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__Un,axiom,
% 191.16/191.41 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_trancl__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converseD,axiom,
% 191.16/191.41 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converseI,axiom,
% 191.16/191.41 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__iff,axiom,
% 191.16/191.41 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__rel__comp,axiom,
% 191.16/191.41 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__inv__image,axiom,
% 191.16/191.41 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__Int,axiom,
% 191.16/191.41 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Field__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_refl__on__converse,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.16/191.41 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__Id__on,axiom,
% 191.16/191.41 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 191.16/191.41 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__UNION,axiom,
% 191.16/191.41 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_acyclic__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b] :
% 191.16/191.41 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.16/191.41 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_wf__converse__trancl,axiom,
% 191.16/191.41 ! [V_r_2,T_b] :
% 191.16/191.41 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.16/191.41 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_equiv__comp__eq,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.41 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Range__def,axiom,
% 191.16/191.41 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Domain__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Range__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__converseI,axiom,
% 191.16/191.41 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__converseD,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_trancl__converseD,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_trancl__converseI,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Image__subset__eq,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_refl__on__comp__subset,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_comp__equivI,axiom,
% 191.16/191.41 ! [V_A_2,V_r_2,T_b] :
% 191.16/191.41 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 191.16/191.41 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 191.16/191.41 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__acyclic__wf__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.16/191.41 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.16/191.41 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__def,axiom,
% 191.16/191.41 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_sequence__trans,axiom,
% 191.16/191.41 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 191.16/191.41 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_total__on__diff__Id,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 191.16/191.41 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_total__on__empty,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_Relation_Ototal__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_r_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_total__on__converse,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.16/191.41 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_total__on__def,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => ! [B_xa] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.16/191.41 => ( B_x != B_xa
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_xa),B_x)),V_r_2)) ) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 191.16/191.41 ! [V_R_2,V_p_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_acyclicI,axiom,
% 191.16/191.41 ! [V_r_2,T_b] :
% 191.16/191.41 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 191.16/191.41 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__1,axiom,
% 191.16/191.41 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__commute,axiom,
% 191.16/191.41 ! [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) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_funpow__mult,axiom,
% 191.16/191.41 ! [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) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_funpow__swap1,axiom,
% 191.16/191.41 ! [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)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_comp__funpow,axiom,
% 191.16/191.41 ! [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)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_wf__exp,axiom,
% 191.16/191.41 ! [V_R_2,V_n_2,T_b] :
% 191.16/191.41 ( 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))
% 191.16/191.41 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__imp__rtrancl,axiom,
% 191.16/191.41 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__power,axiom,
% 191.16/191.41 ! [V_R_2,V_p_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.41 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_relpow_Osimps_I2_J,axiom,
% 191.16/191.41 ! [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) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__add,axiom,
% 191.16/191.41 ! [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)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_relpow_Osimps_I1_J,axiom,
% 191.16/191.41 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__0__E,axiom,
% 191.16/191.41 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 191.16/191.41 => V_x_2 = V_y_2 ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__0__I,axiom,
% 191.16/191.41 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__Suc__I2,axiom,
% 191.16/191.41 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 191.16/191.41 => ( 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)))
% 191.16/191.41 => 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))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__Suc__I,axiom,
% 191.16/191.41 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 191.16/191.41 => 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))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_funpow_Osimps_I2_J,axiom,
% 191.16/191.41 ! [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)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_funpow__add,axiom,
% 191.16/191.41 ! [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)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_funpow_Osimps_I1_J,axiom,
% 191.16/191.41 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_trancl__power,axiom,
% 191.16/191.41 ! [V_R_2,V_p_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 191.16/191.41 <=> ? [B_n] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 191.16/191.41 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_funpow__code__def,axiom,
% 191.16/191.41 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__E2,axiom,
% 191.16/191.41 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.41 => V_x_2 != V_z_2 )
% 191.16/191.41 => ~ ! [B_y,B_m] :
% 191.16/191.41 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__E,axiom,
% 191.16/191.41 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.41 => V_x_2 != V_z_2 )
% 191.16/191.41 => ~ ! [B_y,B_m] :
% 191.16/191.41 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Image__Int__eq,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 191.16/191.41 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 191.16/191.41 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valued__rel__pow,axiom,
% 191.16/191.41 ! [V_n_2,V_R_2,T_b] :
% 191.16/191.41 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 191.16/191.41 => 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)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valued__subset,axiom,
% 191.16/191.41 ! [V_s_2,V_r_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.41 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 191.16/191.41 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valued__Id,axiom,
% 191.16/191.41 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valued__rel__comp,axiom,
% 191.16/191.41 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 191.16/191.41 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 191.16/191.41 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 191.16/191.41 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valued__Id__on,axiom,
% 191.16/191.41 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valuedD,axiom,
% 191.16/191.41 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 191.16/191.41 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 191.16/191.41 => V_y_2 = V_z_2 ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valued__def,axiom,
% 191.16/191.41 ! [V_r_2,T_c,T_b] :
% 191.16/191.41 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 191.16/191.41 <=> ! [B_x,B_y] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 191.16/191.41 => ! [B_z] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 191.16/191.41 => B_y = B_z ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_single__valued__confluent,axiom,
% 191.16/191.41 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 191.16/191.41 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 191.16/191.41 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 191.16/191.41 ( 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))))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 191.16/191.41 => ! [B_y] :
% 191.16/191.41 ( 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))
% 191.16/191.41 => B_y = B_x ) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__Un__separatorE,axiom,
% 191.16/191.41 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 191.16/191.41 ( 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))))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 191.16/191.41 => ! [B_y] :
% 191.16/191.41 ( 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))
% 191.16/191.41 => B_x = B_y ) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__Suc__E,axiom,
% 191.16/191.41 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => ~ ! [B_y] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__Suc__E2,axiom,
% 191.16/191.41 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => ~ ! [B_y] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 191.16/191.41 => ~ 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))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__pow__Suc__D2,axiom,
% 191.16/191.41 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => ? [B_y] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 191.16/191.41 & 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))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_tranclD2,axiom,
% 191.16/191.41 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 191.16/191.41 => ? [B_z] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_tranclD,axiom,
% 191.16/191.41 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 191.16/191.41 => ? [B_z] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_IdE,axiom,
% 191.16/191.41 ! [V_p_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 191.16/191.41 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nat__intermed__int__val,axiom,
% 191.16/191.41 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 191.16/191.41 ( ! [B_i] :
% 191.16/191.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 191.16/191.41 => ? [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 191.16/191.41 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 191.16/191.41 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold__empty,axiom,
% 191.16/191.41 ! [V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold__image__def,axiom,
% 191.16/191.41 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_folding_Oeq__fold,axiom,
% 191.16/191.41 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold__def,axiom,
% 191.16/191.41 ! [V_A_2,V_z_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_Finite__Set_Ofold(T_c,T_b,V_f_2),V_z_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold__graph(T_c,T_b,V_f_2,V_z_2,V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_union__fold__insert,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)),V_B_2),V_A_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold__sup__insert,axiom,
% 191.16/191.41 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Osemilattice__sup(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold__inf__insert,axiom,
% 191.16/191.41 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Osemilattice__inf(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_Ofold__inf__insert,axiom,
% 191.16/191.41 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_Ofold__sup__insert,axiom,
% 191.16/191.41 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 191.16/191.41 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 191.16/191.41 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_sup__SUPR__fold__sup,axiom,
% 191.16/191.41 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_sup__le__fold__sup,axiom,
% 191.16/191.41 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Osemilattice__sup(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold__inf__le__inf,axiom,
% 191.16/191.41 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Osemilattice__inf(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 191.16/191.41 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),V_b_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 191.16/191.41 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_b_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold1__eq__fold__idem,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Olattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Olattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_a_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_minus__fold__remove,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_folding__one_Oeq__fold_H,axiom,
% 191.16/191.41 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_x_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_SUPR__fold__sup,axiom,
% 191.16/191.41 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__sup__class_Osup(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(T_c)),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold1__eq__fold,axiom,
% 191.16/191.41 ! [V_a_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_a_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 191.16/191.41 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Olattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_x_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 191.16/191.41 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Olattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_x_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Min_Oeq__fold_H,axiom,
% 191.16/191.41 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Max_Oeq__fold_H,axiom,
% 191.16/191.41 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_x_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 191.16/191.41 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_x_2),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 191.16/191.41 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 191.16/191.41 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 191.16/191.41 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_y_2),V_z_2)) = hAPP(hAPP(V_f_2,V_y_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 191.16/191.41 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm,axiom,
% 191.16/191.41 ! [T_b] :
% 191.16/191.41 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.16/191.41 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 191.16/191.41 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 191.16/191.41 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.16/191.41 => V_y_2 = V_x_2 ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 191.16/191.41 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 191.16/191.41 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 191.16/191.41 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 191.16/191.41 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 191.16/191.41 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)),V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 191.16/191.41 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => ? [B_y_H] :
% 191.16/191.41 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 191.16/191.41 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INFI__fold__inf,axiom,
% 191.16/191.41 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),c_Orderings_Otop__class_Otop(T_c)),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__E,axiom,
% 191.16/191.41 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__D,axiom,
% 191.16/191.41 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF1__E,axiom,
% 191.16/191.41 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF1__D,axiom,
% 191.16/191.41 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF2__E,axiom,
% 191.16/191.41 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF2__D,axiom,
% 191.16/191.41 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__INT,axiom,
% 191.16/191.41 ! [V_A_2,T_c,V_I_2,T_b] :
% 191.16/191.41 ( ? [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 191.16/191.41 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 191.16/191.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Compl__UN,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Compl__INT,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_UN__simps_I7_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_UN__extend__simps_I7_J,axiom,
% 191.16/191.41 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I9_J,axiom,
% 191.16/191.41 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I9_J,axiom,
% 191.16/191.41 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converse__INTER,axiom,
% 191.16/191.41 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__insert,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__constant,axiom,
% 191.16/191.41 ! [V_c_2,T_c,T_b,V_A_2] :
% 191.16/191.41 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.41 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__empty,axiom,
% 191.16/191.41 ! [V_B_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__absorb,axiom,
% 191.16/191.41 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF__const,axiom,
% 191.16/191.41 ! [V_M_2,T_b,V_A_2,T_c] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__insert__distrib,axiom,
% 191.16/191.41 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I10_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I10_J,axiom,
% 191.16/191.41 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__iff,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF__INT__eq2,axiom,
% 191.16/191.41 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.16/191.41 ( c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.16/191.41 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.16/191.41 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INFI__bool__eq,axiom,
% 191.16/191.41 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__Int__distrib,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Pow__INT__eq,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF__commute,axiom,
% 191.16/191.41 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INFI__apply,axiom,
% 191.16/191.41 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_vimage__INT,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Ovimage(T_b,T_c,V_f_2)),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I5_J,axiom,
% 191.16/191.41 ! [V_B_2,V_a_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I5_J,axiom,
% 191.16/191.41 ! [V_B_2,V_C_2,T_c,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Set_Oinsert(T_b),V_a_2)),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF__INT__eq,axiom,
% 191.16/191.41 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I2_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I1_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__Un,axiom,
% 191.16/191.41 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Collect__ball__eq,axiom,
% 191.16/191.41 ! [V_Pa_2,V_A_2,T_c,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),V_Pa_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_Pa_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__lower,axiom,
% 191.16/191.41 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(V_B_2,V_a_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF__less__iff,axiom,
% 191.16/191.41 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 191.16/191.41 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 & class_Orderings_Olinorder(T_b) )
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_f_2)),V_a_2))
% 191.16/191.41 <=> ? [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__subset__iff,axiom,
% 191.16/191.41 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(V_A_2,B_x))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Un__INT__distrib2,axiom,
% 191.16/191.41 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I6_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Un__INT__distrib,axiom,
% 191.16/191.41 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I7_J,axiom,
% 191.16/191.41 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I6_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I7_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_le__INF__iff,axiom,
% 191.16/191.41 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),V_A_2),V_M_2)))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Image__INT__subset,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_d,V_r_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF__subset,axiom,
% 191.16/191.41 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_B_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INTER__def,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I2_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I1_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I3_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),V_B_2) )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I3_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I4_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF__leI,axiom,
% 191.16/191.41 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_M_2)),hAPP(V_M_2,V_i_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__greaterThan__UNIV,axiom,
% 191.16/191.41 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I4_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.16/191.41 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 191.16/191.41 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Image__INT__eq,axiom,
% 191.16/191.41 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 191.16/191.41 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 191.16/191.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 191.16/191.41 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_inf__INFI__fold__inf,axiom,
% 191.16/191.41 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_c),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,T_c),V_A_2),V_f_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Lattices_Osemilattice__inf__class_Oinf(T_c)),V_f_2)),V_B_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__fold__inf,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__fold__sup,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),c_Orderings_Obot__class_Obot(T_b)),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__Inter,axiom,
% 191.16/191.41 ! [V_M_2,T_b] :
% 191.16/191.41 ( ? [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 191.16/191.41 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 191.16/191.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_UnionI,axiom,
% 191.16/191.41 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_InterE,axiom,
% 191.16/191.41 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_InterD,axiom,
% 191.16/191.41 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INTER__eq__Inter__image,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__image__eq,axiom,
% 191.16/191.41 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF1__iff,axiom,
% 191.16/191.41 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INF2__iff,axiom,
% 191.16/191.41 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__extend__simps_I8_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_INT__simps_I8_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Un__Inter,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__Inf,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b)))))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__Sup,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),c_Orderings_Oord__class_Oless__eq(T_b))))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__upper,axiom,
% 191.16/191.41 ! [V_A_2,V_B_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_less__Sup__iff,axiom,
% 191.16/191.41 ! [V_S_2,V_a_2,T_b] :
% 191.16/191.41 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 & class_Orderings_Olinorder(T_b) )
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 191.16/191.41 <=> ? [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__less__iff,axiom,
% 191.16/191.41 ! [V_a_2,V_S_2,T_b] :
% 191.16/191.41 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 & class_Orderings_Olinorder(T_b) )
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 191.16/191.41 <=> ? [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__le__iff,axiom,
% 191.16/191.41 ! [V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)),V_b_2))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_le__Inf__iff,axiom,
% 191.16/191.41 ! [V_A_2,V_b_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__Pow__eq,axiom,
% 191.16/191.41 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Field__Union,axiom,
% 191.16/191.41 ! [V_R_2,T_b] : hAPP(c_Relation_OField(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),V_R_2)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Relation_OField(T_b)),V_R_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__disjoint,axiom,
% 191.16/191.41 ! [V_A_2,V_C_2,T_b] :
% 191.16/191.41 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Range__Union,axiom,
% 191.16/191.41 ! [V_S_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ORange(T_c,T_b)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sigma__Union,axiom,
% 191.16/191.41 ! [V_B_2,V_X_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_X_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool)),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),c_Product__Type_OSigma(T_b,T_c)),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_vimage__Union,axiom,
% 191.16/191.41 ! [V_A_2,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Set_Ovimage(T_b,T_c,V_f_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_UN__simps_I8_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_UN__extend__simps_I8_J,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_A_2)),V_B_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Int__Union2,axiom,
% 191.16/191.41 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Int__Union,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Domain__Union,axiom,
% 191.16/191.41 ! [V_S_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Relation_ODomain(T_b,T_c)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_image__Union,axiom,
% 191.16/191.41 ! [V_S_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_Set_Oimage(T_c,T_b,V_f_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__lower,axiom,
% 191.16/191.41 ! [V_A_2,V_B_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__empty,axiom,
% 191.16/191.41 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__mono,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__quotient,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = V_A_2 ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__insert,axiom,
% 191.16/191.41 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__UnionD,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 191.16/191.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_subset__Pow__Union,axiom,
% 191.16/191.41 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__anti__mono,axiom,
% 191.16/191.41 ! [V_A_2,V_B_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__empty,axiom,
% 191.16/191.41 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__eq,axiom,
% 191.16/191.41 ! [V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fimplies),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__UNIV,axiom,
% 191.16/191.41 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__Un__distrib,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__insert,axiom,
% 191.16/191.41 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__image__eq,axiom,
% 191.16/191.41 ! [V_A_2,V_B_2,T_c,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_UNION__eq__Union__image,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__upper,axiom,
% 191.16/191.41 ! [V_A_2,V_x_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__UNIV,axiom,
% 191.16/191.41 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__lower,axiom,
% 191.16/191.41 ! [V_A_2,V_x_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__Un__distrib,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__empty,axiom,
% 191.16/191.41 ! [T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__singleton,axiom,
% 191.16/191.41 ! [V_a_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__insert,axiom,
% 191.16/191.41 ! [V_A_2,V_a_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Int__Inter__image,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__singleton,axiom,
% 191.16/191.41 ! [V_a_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__UNIV,axiom,
% 191.16/191.41 ! [T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__empty,axiom,
% 191.16/191.41 ! [T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__UNIV,axiom,
% 191.16/191.41 ! [T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__insert,axiom,
% 191.16/191.41 ! [V_A_2,V_a_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Un__eq__Union,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Un__Union__image,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_A_2),V_C_2))),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(T_c,tc_fun(T_b,tc_HOL_Obool),V_B_2),V_C_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__Int__subset,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Int__eq__Inter,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__Un__subset,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__binary,axiom,
% 191.16/191.41 ! [V_b_2,V_a_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),V_b_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__binary,axiom,
% 191.16/191.41 ! [V_b_2,V_a_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_sup__Sup__fold__sup,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_B_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_B_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Sup__fin__Sup,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_inf__Inf__fold__inf,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inf__fin__Inf,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_image__INT,axiom,
% 191.16/191.41 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,B_x)),V_C_2)) )
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 191.16/191.41 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_d),c_Set_Oimage(T_b,T_c,V_f_2)),V_B_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_card__partition,axiom,
% 191.16/191.41 ! [V_k_2,V_C_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 191.16/191.41 => ( ! [B_c] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 191.16/191.41 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 191.16/191.41 => ( ! [B_c1] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 191.16/191.41 => ! [B_c2] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 191.16/191.41 => ( B_c1 != B_c2
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_c1),B_c2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 191.16/191.41 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),V_C_2)) = hAPP(c_Finite__Set_Ocard(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__def,axiom,
% 191.16/191.41 ! [V_S_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Union__def,axiom,
% 191.16/191.41 ! [V_S_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_S_2),c_COMBI(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__Union,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 191.16/191.41 => ( ! [B_M] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 191.16/191.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_insert__partition,axiom,
% 191.16/191.41 ! [V_F_2,V_x_2,T_b] :
% 191.16/191.41 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 191.16/191.41 => ! [B_xa] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_xa),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2)))
% 191.16/191.41 => ( B_x != B_xa
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),B_x),B_xa) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 191.16/191.41 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_x_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_F_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_inj__on__Inter,axiom,
% 191.16/191.41 ! [V_f_2,T_c,T_b,V_S_2] :
% 191.16/191.41 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 191.16/191.41 => ( ! [B_A] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 191.16/191.41 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 191.16/191.41 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_S_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Inter__subset,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( ! [B_X] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 191.16/191.41 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_inj__on__INTER,axiom,
% 191.16/191.41 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 191.16/191.41 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.41 => ( ! [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 191.16/191.41 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 191.16/191.41 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 191.16/191.41 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 191.16/191.41 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_v_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => ~ ! [B_y] :
% 191.16/191.41 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 191.16/191.41 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 191.16/191.41 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_c_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 191.16/191.41 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Orderings_Olinorder(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_InterI,axiom,
% 191.16/191.41 ! [V_A_2,V_C_2,T_b] :
% 191.16/191.41 ( ! [B_X] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_inf__le__fold__inf,axiom,
% 191.16/191.41 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Osemilattice__inf(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_b_2),V_c_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_c_2),V_A_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_fold__sup__le__sup,axiom,
% 191.16/191.41 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 191.16/191.41 ( class_Lattices_Osemilattice__sup(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_c_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_c_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_mod__div__decomp,axiom,
% 191.16/191.41 ! [V_b,V_a,T_a] :
% 191.16/191.41 ( class_Divides_Osemiring__div(T_a)
% 191.16/191.41 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_wf__eq__minimal,axiom,
% 191.16/191.41 ! [V_r_2,T_b] :
% 191.16/191.41 ( c_Wellfounded_Owf(T_b,V_r_2)
% 191.16/191.41 <=> ! [B_Q] :
% 191.16/191.41 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 191.16/191.41 => ? [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 191.16/191.41 & ! [B_y] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_transfer__nat__int__set__cong,axiom,
% 191.16/191.41 ! [V_P_H_2,V_Pa_2] :
% 191.16/191.41 ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.16/191.41 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.41 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 191.16/191.41 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_P_H_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Int__Collect__mono,axiom,
% 191.16/191.41 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.41 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 191.16/191.41 => 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)))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_UnionE,axiom,
% 191.16/191.41 ! [V_C_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 191.16/191.41 => ~ ! [B_X] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rel__compE,axiom,
% 191.16/191.41 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 191.16/191.41 => ~ ! [B_x,B_y,B_z] :
% 191.16/191.41 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_converseE,axiom,
% 191.16/191.41 ! [V_r_2,V_yx_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 191.16/191.41 => ~ ! [B_x,B_y] :
% 191.16/191.41 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 191.16/191.41 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_setprod__pos,axiom,
% 191.16/191.41 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( class_Rings_Olinordered__semidom(T_c)
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 191.16/191.41 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Oof__frac__def,axiom,
% 191.16/191.41 ! [V_q,T_a,T_b] :
% 191.16/191.41 ( ( class_Rings_Oinverse(T_b)
% 191.16/191.41 & class_Rings_Oring__1(T_b) )
% 191.16/191.41 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 191.16/191.41 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 191.16/191.41 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Oless__frac__def,axiom,
% 191.16/191.41 ! [V_r_2,V_q_2,T_b] :
% 191.16/191.41 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 191.16/191.41 ! [V_r_2,V_q_2,T_b] :
% 191.16/191.41 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Odenom__def,axiom,
% 191.16/191.41 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Onum__def,axiom,
% 191.16/191.41 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_internal__split__def,axiom,
% 191.16/191.41 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_setprod__nonneg,axiom,
% 191.16/191.41 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.16/191.41 ( class_Rings_Olinordered__semidom(T_c)
% 191.16/191.41 => ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_internal__split__conv,axiom,
% 191.16/191.41 ! [V_b_2,V_a_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_c_2,V_a_2),V_b_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__less__ub,axiom,
% 191.16/191.41 ! [V_u_2,V_f_2] :
% 191.16/191.41 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 191.16/191.41 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_f_2)),V_u_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lenlex__def,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_neq__if__length__neq,axiom,
% 191.16/191.41 ! [V_ys,V_xs,T_a] :
% 191.16/191.41 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)
% 191.16/191.41 => V_xs != V_ys ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lexn__length,axiom,
% 191.16/191.41 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 191.16/191.41 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 191.16/191.41 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lenlex__conv,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_length__sublist,axiom,
% 191.16/191.41 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lexn_Osimps_I2_J,axiom,
% 191.16/191.41 ! [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)))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_impossible__Cons,axiom,
% 191.16/191.41 ! [V_x,V_ys,V_xs,T_a] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 191.16/191.41 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_not__Cons__self,axiom,
% 191.16/191.41 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_not__Cons__self2,axiom,
% 191.16/191.41 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list_Oinject,axiom,
% 191.16/191.41 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 191.16/191.41 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 191.16/191.41 <=> ( V_a_2 = V_a_H_2
% 191.16/191.41 & V_list_2 = V_list_H_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list_Osize_I4_J,axiom,
% 191.16/191.41 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Cons__in__lex,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 191.16/191.41 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.16/191.41 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 191.16/191.41 | ( V_x_2 = V_y_2
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__Cons__def,axiom,
% 191.16/191.41 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_pick_Osimps,axiom,
% 191.16/191.41 ! [V_xs,V_x,T_a,V_i] :
% 191.16/191.41 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 191.16/191.41 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) )
% 191.16/191.41 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 191.16/191.41 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_select__weight__cons__zero,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lexord__cons__cons,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2))),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.41 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.41 | ( V_a_2 = V_b_2
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lexord__lex,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 191.16/191.41 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.41 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 191.16/191.41 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list_Osize_I2_J,axiom,
% 191.16/191.41 ! [V_list_2,V_a_2,V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_list_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),c_List_Olist_Olist__size(T_b,V_fa_2,V_list_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Cons__acc__listrel1I,axiom,
% 191.16/191.41 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1__converse,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1__mono,axiom,
% 191.16/191.41 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 191.16/191.41 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1I2,axiom,
% 191.16/191.41 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 191.16/191.41 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1__eq__len,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.41 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_in__listrel1__converse,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Cons__listrel1__Cons,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.41 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.16/191.41 & V_xs_2 = V_ys_2 )
% 191.16/191.41 | ( V_x_2 = V_y_2
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1I1,axiom,
% 191.16/191.41 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__Cons,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lexord__linear,axiom,
% 191.16/191.41 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 191.16/191.41 ( ! [B_a,B_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 191.16/191.41 | B_a = B_b
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.41 | V_x_2 = V_y_2
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__rtrancl__refl,axiom,
% 191.16/191.41 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__mono,axiom,
% 191.16/191.41 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__eq__len,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.41 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__rtrancl__trans,axiom,
% 191.16/191.41 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 191.16/191.41 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1__subset__listrel,axiom,
% 191.16/191.41 ! [V_r_H_2,V_r_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 191.16/191.41 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel_OCons,axiom,
% 191.16/191.41 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrelp__listrel__eq,axiom,
% 191.16/191.41 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 191.16/191.41 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 191.16/191.41 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__Cons1,axiom,
% 191.16/191.41 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.41 => ~ ! [B_y,B_ys] :
% 191.16/191.41 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrelp_OCons,axiom,
% 191.16/191.41 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 191.16/191.41 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 191.16/191.41 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrelp_Oequations_I2_J,axiom,
% 191.16/191.41 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 191.16/191.41 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 191.16/191.41 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 191.16/191.41 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__Cons2,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.41 => ~ ! [B_x,B_xs] :
% 191.16/191.41 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__subset,axiom,
% 191.16/191.41 ! [V_A_2,V_r_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lists__UNIV,axiom,
% 191.16/191.41 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lists__mono,axiom,
% 191.16/191.41 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_equiv__listrel,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.41 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__refl__on,axiom,
% 191.16/191.41 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.41 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.41 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Cons__in__lists__iff,axiom,
% 191.16/191.41 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 191.16/191.41 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lists__accI,axiom,
% 191.16/191.41 ! [V_r_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lists__accD,axiom,
% 191.16/191.41 ! [V_r_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__iff__nth,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.41 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 191.16/191.41 & ! [B_n] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lexord__irreflexive,axiom,
% 191.16/191.41 ! [V_y_2,V_r_2,T_b] :
% 191.16/191.41 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_infinite__UNIV__listI,axiom,
% 191.16/191.41 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__eq__iff__nth__eq,axiom,
% 191.16/191.41 ! [T_b,V_ys_2,V_xs_2] :
% 191.16/191.41 ( V_xs_2 = V_ys_2
% 191.16/191.41 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 191.16/191.41 & ! [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__Cons__0,axiom,
% 191.16/191.41 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__Cons__Suc,axiom,
% 191.16/191.41 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth_Osimps,axiom,
% 191.16/191.41 ! [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) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__Cons_H,axiom,
% 191.16/191.41 ! [V_xs,V_x,T_a,V_n] :
% 191.16/191.41 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 191.16/191.41 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__Cons__number__of,axiom,
% 191.16/191.41 ! [V_xs,V_x,T_a,V_v] :
% 191.16/191.41 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x )
% 191.16/191.41 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lexord__take__index__conv,axiom,
% 191.16/191.41 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.41 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 191.16/191.41 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 191.16/191.41 | ? [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 191.16/191.41 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__sublist,axiom,
% 191.16/191.41 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__set,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__subset__Cons,axiom,
% 191.16/191.41 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_take__all,axiom,
% 191.16/191.41 ! [V_n,V_xs,T_a] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 191.16/191.41 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__take__subset,axiom,
% 191.16/191.41 ! [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))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__take__subset__set__take,axiom,
% 191.16/191.41 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.16/191.41 => 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)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__sublist__subset,axiom,
% 191.16/191.41 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__take,axiom,
% 191.16/191.41 ! [V_xs,T_a,V_n,V_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_take__Suc__Cons,axiom,
% 191.16/191.41 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__ConsD,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 191.16/191.41 => ( V_y_2 = V_x_2
% 191.16/191.41 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_in__set__sublistD,axiom,
% 191.16/191.41 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_in__set__takeD,axiom,
% 191.16/191.41 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 191.16/191.41 ( 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))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_notin__set__sublistI,axiom,
% 191.16/191.41 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_sublist__upt__eq__take,axiom,
% 191.16/191.41 ! [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) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_length__take,axiom,
% 191.16/191.41 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_take__take,axiom,
% 191.16/191.41 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_card__length,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_all__set__conv__all__nth,axiom,
% 191.16/191.41 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.41 ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.41 <=> ! [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__size__estimation,axiom,
% 191.16/191.41 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__size__estimation_H,axiom,
% 191.16/191.41 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_in__lists__conv__set,axiom,
% 191.16/191.41 ! [V_A_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_length__pos__if__in__set,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_in__set__conv__nth,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 <=> ? [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__mem,axiom,
% 191.16/191.41 ! [V_xs_2,T_b,V_n_2] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => 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))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_lists__eq__set,axiom,
% 191.16/191.41 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__conv__nth,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__lists__length__eq,axiom,
% 191.16/191.41 ! [V_n_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => 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))))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_finite__lists__length__le,axiom,
% 191.16/191.41 ! [V_n_2,V_A_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => 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))))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel__iff__zip,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.41 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 191.16/191.41 & ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__zip,axiom,
% 191.16/191.41 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_take__zip,axiom,
% 191.16/191.41 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_length__zip,axiom,
% 191.16/191.41 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_zip__Cons__Cons,axiom,
% 191.16/191.41 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__eq__iff__zip__eq,axiom,
% 191.16/191.41 ! [T_b,V_ys_2,V_xs_2] :
% 191.16/191.41 ( V_xs_2 = V_ys_2
% 191.16/191.41 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 191.16/191.41 & ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_in__set__zipE,axiom,
% 191.16/191.41 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 191.16/191.41 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__zip__rightD,axiom,
% 191.16/191.41 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__zip__leftD,axiom,
% 191.16/191.41 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_zip__same,axiom,
% 191.16/191.41 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2))))
% 191.16/191.41 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 & V_a_2 = V_b_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__zip,axiom,
% 191.16/191.41 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)))
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_greaterThanLessThan__upto,axiom,
% 191.16/191.41 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listsum__setsum__nth,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] :
% 191.16/191.41 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.41 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__upto,axiom,
% 191.16/191.41 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_atLeastAtMost__upto,axiom,
% 191.16/191.41 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 191.16/191.41 ! [V_ns_2] :
% 191.16/191.41 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.41 <=> ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 191.16/191.41 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_elem__le__listsum__nat,axiom,
% 191.16/191.41 ! [V_ns,V_k] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listsum__simps_I2_J,axiom,
% 191.16/191.41 ! [V_xs,V_x,T_a] :
% 191.16/191.41 ( class_Groups_Omonoid__add(T_a)
% 191.16/191.41 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_atLeastLessThan__upto,axiom,
% 191.16/191.41 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_greaterThanAtMost__upto,axiom,
% 191.16/191.41 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nat__list__def,axiom,
% 191.16/191.41 ! [V_l_2] :
% 191.16/191.41 ( c_List_Onat__list(V_l_2)
% 191.16/191.41 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__size__pointwise,axiom,
% 191.16/191.41 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 191.16/191.41 ( ! [B_x] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listsum__update__nat,axiom,
% 191.16/191.41 ! [V_n,V_ns,V_k] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 191.16/191.41 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_butlast__take,axiom,
% 191.16/191.41 ! [V_xs,T_a,V_n] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.41 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update__beyond,axiom,
% 191.16/191.41 ! [V_x,V_i,V_xs,T_a] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i))
% 191.16/191.41 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__list__update__neq,axiom,
% 191.16/191.41 ! [V_x,V_xs,T_a,V_j,V_i] :
% 191.16/191.41 ( V_i != V_j
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update__id,axiom,
% 191.16/191.41 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ).
% 191.16/191.41
% 191.16/191.41 fof(fact_length__list__update,axiom,
% 191.16/191.41 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_butlast__list__update,axiom,
% 191.16/191.41 ! [V_x,V_xs,T_a,V_k] :
% 191.16/191.41 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 191.16/191.41 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) )
% 191.16/191.41 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 191.16/191.41 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_zip__update,axiom,
% 191.16/191.41 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_update__zip,axiom,
% 191.16/191.41 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update__overwrite,axiom,
% 191.16/191.41 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update__swap,axiom,
% 191.16/191.41 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 191.16/191.41 ( V_i != V_i_H
% 191.16/191.41 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update__code_I2_J,axiom,
% 191.16/191.41 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update__code_I3_J,axiom,
% 191.16/191.41 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update_Osimps_I2_J,axiom,
% 191.16/191.41 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_in__set__butlastD,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__update__subsetI,axiom,
% 191.16/191.41 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.41 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__update__subset__insert,axiom,
% 191.16/191.41 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__list__update__eq,axiom,
% 191.16/191.41 ! [V_x,V_xs,T_a,V_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_list__update__same__conv,axiom,
% 191.16/191.41 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 191.16/191.41 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__list__update,axiom,
% 191.16/191.41 ! [V_x,V_j,V_xs,T_a,V_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.41 => ( ( V_i = V_j
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x )
% 191.16/191.41 & ( V_i != V_j
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_take__butlast,axiom,
% 191.16/191.41 ! [V_xs,T_a,V_n] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.41 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_length__butlast,axiom,
% 191.16/191.41 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__update__memI,axiom,
% 191.16/191.41 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 191.16/191.41 ( 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)))
% 191.16/191.41 => 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)))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_butlast__conv__take,axiom,
% 191.16/191.41 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_listrel1__iff__update,axiom,
% 191.16/191.41 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.41 <=> ? [B_y,B_n] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 191.16/191.41 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__list__update,axiom,
% 191.16/191.41 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.41 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.16/191.41 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__upto,axiom,
% 191.16/191.41 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__take,axiom,
% 191.16/191.41 ! [V_i,V_xs,T_a] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.41 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__sublistI,axiom,
% 191.16/191.41 ! [V_I_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.41 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__zipI1,axiom,
% 191.16/191.41 ! [V_ys,T_b,V_xs,T_a] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.41 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__zipI2,axiom,
% 191.16/191.41 ! [V_xs,T_b,V_ys,T_a] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 191.16/191.41 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct_Osimps_I2_J,axiom,
% 191.16/191.41 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 191.16/191.41 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.41 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__card,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.41 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_card__distinct,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] :
% 191.16/191.41 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 191.16/191.41 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__eq__iff__index__eq,axiom,
% 191.16/191.41 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 191.16/191.41 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__conv__nth,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.41 <=> ! [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => ! [B_j] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.41 => ( B_i != B_j
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 191.16/191.41 ! [V_xs_2,T_b] :
% 191.16/191.41 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.41 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.41 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_Nitpick_Ocard_H__def,axiom,
% 191.16/191.41 ! [V_A_2,T_b] :
% 191.16/191.41 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 191.16/191.41 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.41 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_nth__take__lemma,axiom,
% 191.16/191.41 ! [V_ys,V_xs,T_a,V_k] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.41 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 191.16/191.41 => ( ! [B_i] :
% 191.16/191.41 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 191.16/191.41 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 191.16/191.41 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 191.16/191.41
% 191.16/191.41 fof(fact_set__remove1__eq,axiom,
% 191.16/191.41 ! [V_x_2,V_xs_2,T_b] :
% 191.16/191.41 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.41 => hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__Cons__number__of,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a,V_v] :
% 191.16/191.42 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 191.16/191.42 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lists_ONil,axiom,
% 191.16/191.42 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olists(T_b,V_A_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrel__Nil2,axiom,
% 191.16/191.42 ! [V_r_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.42 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrel__Nil1,axiom,
% 191.16/191.42 ! [V_r_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 191.16/191.42 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__butlast,axiom,
% 191.16/191.42 ! [T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__remove1,axiom,
% 191.16/191.42 ! [V_x,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_butlast_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_butlast_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_x,T_a,V_xs] :
% 191.16/191.42 ( ( V_xs = c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 191.16/191.42 & ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Obutlast(T_a,V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_list_H,V_a_H,T_a] : c_List_Olist_ONil(T_a) != hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list_Osimps_I3_J,axiom,
% 191.16/191.42 ! [V_list_H,V_a_H,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_a_H),V_list_H) != c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_y,V_x] :
% 191.16/191.42 ( ( V_x = V_y
% 191.16/191.42 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 191.16/191.42 & ( V_x != V_y
% 191.16/191.42 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Oremove1(T_a,V_x,V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upto__empty,axiom,
% 191.16/191.42 ! [V_i,V_j] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 191.16/191.42 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__eq__Nil,axiom,
% 191.16/191.42 ! [V_xs_2,V_n_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__0,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__Nil,axiom,
% 191.16/191.42 ! [V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__nil,axiom,
% 191.16/191.42 ! [V_A_2,T_b] : c_List_Osublist(T_b,c_List_Olist_ONil(T_b),V_A_2) = c_List_Olist_ONil(T_b) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1__commute,axiom,
% 191.16/191.42 ! [V_zs,V_y,V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Oremove1(T_a,V_y,V_zs)) = c_List_Oremove1(T_a,V_y,c_List_Oremove1(T_a,V_x,V_zs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list_Osize_I1_J,axiom,
% 191.16/191.42 ! [V_fa_2,T_b] : c_List_Olist_Olist__size(T_b,V_fa_2,c_List_Olist_ONil(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrelp_Oequations_I1_J,axiom,
% 191.16/191.42 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrelp_ONil,axiom,
% 191.16/191.42 ! [V_r_2,T_b] : c_List_Olistrelp(T_b,V_r_2,c_List_Olist_ONil(T_b),c_List_Olist_ONil(T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__Nil,axiom,
% 191.16/191.42 ! [V_ys,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Olist_ONil(T_a)),V_ys) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__simps_I1_J,axiom,
% 191.16/191.42 ! [T_a] :
% 191.16/191.42 ( class_Groups_Omonoid__add(T_a)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list_Osize_I3_J,axiom,
% 191.16/191.42 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__0__conv,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__empty,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__empty2,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_b] : hAPP(c_List_Oset(T_b),c_List_Olist_ONil(T_b)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1__idem,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_notin__set__remove1,axiom,
% 191.16/191.42 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_y_2,V_xs_2)))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_in__set__remove1,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 191.16/191.42 ( V_a_2 != V_b_2
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 191.16/191.42 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__update__code_I1_J,axiom,
% 191.16/191.42 ! [V_y,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_y) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__update_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_v,V_i,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,c_List_Olist_ONil(T_a)),V_i),V_v) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__update__nonempty,axiom,
% 191.16/191.42 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__empty,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__remove1__subset,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__greater__0__conv,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__1__Cons,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Otake(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_not__listrel1__Nil,axiom,
% 191.16/191.42 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_not__Nil__listrel1,axiom,
% 191.16/191.42 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrel_ONil,axiom,
% 191.16/191.42 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lexord__Nil__right,axiom,
% 191.16/191.42 ! [V_r_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olexord(T_b,V_r_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Nil2__notin__lex,axiom,
% 191.16/191.42 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Nil__notin__lex,axiom,
% 191.16/191.42 ! [V_r_2,V_ys_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_ys_2)),c_List_Olex(T_b,V_r_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__Cons,axiom,
% 191.16/191.42 ! [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) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upto_Osimps,axiom,
% 191.16/191.42 ! [V_j,V_i] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.16/191.42 => c_List_Oupto(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j)) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.16/191.42 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__singleton,axiom,
% 191.16/191.42 ! [V_x_2,T_b,V_A_2] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 191.16/191.42 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 191.16/191.42 => c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)),V_A_2) = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lists__empty,axiom,
% 191.16/191.42 ! [T_b] : c_List_Olists(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__Cons_H,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a,V_n] :
% 191.16/191.42 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 191.16/191.42 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upto__rec__number__of,axiom,
% 191.16/191.42 ! [V_n,V_m] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 191.16/191.42 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n))) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 191.16/191.42 => c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrel__Nil,axiom,
% 191.16/191.42 ! [V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__Cons__sing__Nil,axiom,
% 191.16/191.42 ! [V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = hAPP(c_Set_Oimage(T_b,tc_List_Olist(T_b),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))),V_A_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__remove1,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremove1(T_b,V_x_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upto_Opsimps,axiom,
% 191.16/191.42 ! [V_j_2,V_i_2] :
% 191.16/191.42 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_i_2),V_j_2)))
% 191.16/191.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 191.16/191.42 => c_List_Oupto(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint),V_i_2),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 191.16/191.42 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_select,axiom,
% 191.16/191.42 ! [V_s_2,T_b,V_xs_2] :
% 191.16/191.42 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listset_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_b] : c_List_Olistset(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__Cons1,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_ys_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_c,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c)))),T_c),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_c))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_c),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)))),hAPP(c_List_Ozip(T_b,T_c),V_xs_2))),V_ys_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list_Osimps_I5_J,axiom,
% 191.16/191.42 ! [V_list_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_a_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_list_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list_Osimps_I4_J,axiom,
% 191.16/191.42 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listset_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__Cons,axiom,
% 191.16/191.42 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__list__of__set__remove,axiom,
% 191.16/191.42 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.42 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upto_Opinduct,axiom,
% 191.16/191.42 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.16/191.42 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.16/191.42 => ( ! [B_i,B_j] :
% 191.16/191.42 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j)))
% 191.16/191.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 191.16/191.42 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 191.16/191.42 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 191.16/191.42 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__list__of__set__empty,axiom,
% 191.16/191.42 ! [T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_anamorph_Osimps,axiom,
% 191.16/191.42 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 191.16/191.42 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.42 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 191.16/191.42 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.42 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__Cons,axiom,
% 191.16/191.42 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__eq__Cons__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 191.16/191.42 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 191.16/191.42 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 191.16/191.42 | ? [B_ys_H] :
% 191.16/191.42 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 191.16/191.42 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Cons__eq__append__conv,axiom,
% 191.16/191.42 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 191.16/191.42 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 191.16/191.42 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 191.16/191.42 | ? [B_ys_H] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 191.16/191.42 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append1__eq__conv,axiom,
% 191.16/191.42 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 191.16/191.42 <=> ( V_xs_2 = V_ys_2
% 191.16/191.42 & V_x_2 = V_y_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__Cons,axiom,
% 191.16/191.42 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Cons__eq__appendI,axiom,
% 191.16/191.42 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 191.16/191.42 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 191.16/191.42 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__in__lists__conv,axiom,
% 191.16/191.42 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 191.16/191.42 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 191.16/191.42 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__eq__appendI,axiom,
% 191.16/191.42 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 191.16/191.42 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 191.16/191.42 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__same__eq,axiom,
% 191.16/191.42 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 191.16/191.42 <=> V_ys_2 = V_zs_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_same__append__eq,axiom,
% 191.16/191.42 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 191.16/191.42 <=> V_ys_2 = V_zs_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__eq__append__conv2,axiom,
% 191.16/191.42 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 191.16/191.42 <=> ? [B_us] :
% 191.16/191.42 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 191.16/191.42 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 191.16/191.42 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 191.16/191.42 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__assoc,axiom,
% 191.16/191.42 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,T_a] :
% 191.16/191.42 ( class_Groups_Omonoid__add(T_a)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__append,axiom,
% 191.16/191.42 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us)
% 191.16/191.42 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs)
% 191.16/191.42 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__Nil,axiom,
% 191.16/191.42 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Nil__is__append__conv,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 191.16/191.42 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 191.16/191.42 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__Nil2,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 191.16/191.42
% 191.16/191.42 fof(fact_self__append__conv,axiom,
% 191.16/191.42 ! [V_ys_2,T_b,V_xs_2] :
% 191.16/191.42 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 191.16/191.42 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_self__append__conv2,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_ys_2] :
% 191.16/191.42 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__is__Nil__conv,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 191.16/191.42 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__self__conv,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 191.16/191.42 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__self__conv2,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_eq__Nil__appendI,axiom,
% 191.16/191.42 ! [T_a,V_ys,V_xs] :
% 191.16/191.42 ( V_xs = V_ys
% 191.16/191.42 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_butlast__append,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_ys] :
% 191.16/191.42 ( ( V_ys = c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 191.16/191.42 & ( V_ys != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__append__length,axiom,
% 191.16/191.42 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__append__length__plus,axiom,
% 191.16/191.42 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__update__append1,axiom,
% 191.16/191.42 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__update__length,axiom,
% 191.16/191.42 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_in__set__butlast__appendI,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 191.16/191.42 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_butlast__snoc,axiom,
% 191.16/191.42 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__listrel1I,axiom,
% 191.16/191.42 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.42 & V_us_2 = V_vs_2 )
% 191.16/191.42 | ( V_xs_2 = V_ys_2
% 191.16/191.42 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lexord__append__leftI,axiom,
% 191.16/191.42 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 191.16/191.42 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.42 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 191.16/191.42 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,T_a,V_n] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__update__append,axiom,
% 191.16/191.42 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__append,axiom,
% 191.16/191.42 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrel1I,axiom,
% 191.16/191.42 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.16/191.42 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 191.16/191.42 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lexord__append__left__rightI,axiom,
% 191.16/191.42 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_x_2))),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_b_2),V_y_2)))),c_List_Olexord(T_b,V_r_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__Suc__conv__app__nth,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 191.16/191.42 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.42 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.42 & V_x_2 = V_y_2 )
% 191.16/191.42 | ( V_xs_2 = V_ys_2
% 191.16/191.42 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listrel1E,axiom,
% 191.16/191.42 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 191.16/191.42 => ~ ! [B_x,B_y] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 191.16/191.42 => ! [B_us,B_vs] :
% 191.16/191.42 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 191.16/191.42 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lexord__append__leftD,axiom,
% 191.16/191.42 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.42 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate1__def,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upd__conv__take__nth__drop,axiom,
% 191.16/191.42 ! [V_a,V_xs,T_a,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__take__drop__id,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__1__Cons,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__Suc__Cons,axiom,
% 191.16/191.42 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__via__drop,axiom,
% 191.16/191.42 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__drop,axiom,
% 191.16/191.42 ! [V_i,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct1__rotate,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 191.16/191.42 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_butlast__drop,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__butlast,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__take,axiom,
% 191.16/191.42 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__drop,axiom,
% 191.16/191.42 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__0,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__drop,axiom,
% 191.16/191.42 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__zip,axiom,
% 191.16/191.42 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__drop,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__rotate1,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__rotate1,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_in__set__dropD,axiom,
% 191.16/191.42 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 191.16/191.42 ( 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))))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__drop__subset,axiom,
% 191.16/191.42 ! [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))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__Nil,axiom,
% 191.16/191.42 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate1__is__Nil__conv,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__drop__subset__set__drop,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 191.16/191.42 => 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)))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__all,axiom,
% 191.16/191.42 ! [V_n,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 191.16/191.42 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__eq__Nil,axiom,
% 191.16/191.42 ! [V_xs_2,V_n_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> 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)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__eq__conv__conj,axiom,
% 191.16/191.42 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 191.16/191.42 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 191.16/191.42 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__Cons,axiom,
% 191.16/191.42 ! [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) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__Cons_H,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a,V_n] :
% 191.16/191.42 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 191.16/191.42 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__drop,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_i,V_n] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__eq__append__conv__if,axiom,
% 191.16/191.42 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 191.16/191.42 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 191.16/191.42 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 191.16/191.42 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 191.16/191.42 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 191.16/191.42 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__drop_H,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__simps,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_b,T_a] :
% 191.16/191.42 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 191.16/191.42 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__Cons__number__of,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a,V_v] :
% 191.16/191.42 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 191.16/191.42 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__add,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_j,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate1__length01,axiom,
% 191.16/191.42 ! [V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 191.16/191.42 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__append2,axiom,
% 191.16/191.42 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__append1,axiom,
% 191.16/191.42 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_id__take__nth__drop,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__hd__drop,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_n] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__drop__conv__nth,axiom,
% 191.16/191.42 ! [V_n,T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd_Osimps,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__append2,axiom,
% 191.16/191.42 ! [V_ys,T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__append,axiom,
% 191.16/191.42 ! [V_ys,T_a,V_xs] :
% 191.16/191.42 ( ( V_xs = c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) )
% 191.16/191.42 & ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__in__set,axiom,
% 191.16/191.42 ! [T_b,V_xs_2] :
% 191.16/191.42 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__conv__nth,axiom,
% 191.16/191.42 ! [T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate1__hd__tl,axiom,
% 191.16/191.42 ! [T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__rotate__conv__nth,axiom,
% 191.16/191.42 ! [V_n,T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__tl,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_tl__drop,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_tl_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__tl,axiom,
% 191.16/191.42 ! [V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__rotate,axiom,
% 191.16/191.42 ! [V_xs_2,V_n_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 191.16/191.42 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate0,axiom,
% 191.16/191.42 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__rotate,axiom,
% 191.16/191.42 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__add,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__rotate,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__rotate,axiom,
% 191.16/191.42 ! [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) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_tl_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__is__Nil__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_n_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__def,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate1__rotate__swap,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_tl__append2,axiom,
% 191.16/191.42 ! [V_ys,T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__tl,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__conv__mod,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__Suc,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__Suc,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_tl__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__id,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_n] :
% 191.16/191.42 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__length01,axiom,
% 191.16/191.42 ! [V_n,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 191.16/191.42 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__tl,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_tl__take,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__Suc,axiom,
% 191.16/191.42 ! [V_n,T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__drop__take,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_fold1__set,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.16/191.42 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lexord__append__rightI,axiom,
% 191.16/191.42 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 191.16/191.42 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__Nil,axiom,
% 191.16/191.42 ! [V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),c_List_Olist_ONil(T_c)) = V_a_2 ).
% 191.16/191.42
% 191.16/191.42 fof(fact_start__le__sum,axiom,
% 191.16/191.42 ! [V_ns_2,V_n_2,V_m_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.16/191.42 => 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))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__assoc,axiom,
% 191.16/191.42 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Groups_Osemigroup__add(T_b)
% 191.16/191.42 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__absorb0,axiom,
% 191.16/191.42 ! [V_zs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Groups_Omonoid__add(T_b)
% 191.16/191.42 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__Cons,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(hAPP(V_f_2,V_a_2),V_x_2)),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2)),V_ys_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__foldl,axiom,
% 191.16/191.42 ! [T_b] :
% 191.16/191.42 ( class_Groups_Omonoid__add(T_b)
% 191.16/191.42 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sum__eq__0__conv,axiom,
% 191.16/191.42 ! [V_ns_2,V_m_2] :
% 191.16/191.42 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 & ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 191.16/191.42 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 191.16/191.42 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.16/191.42 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Sup__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.42 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Inf__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.42 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Sup__fin__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Lattices_Olattice(T_b)
% 191.16/191.42 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Inf__fin__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Lattices_Olattice(T_b)
% 191.16/191.42 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Min__fin__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Max__fin__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_SUPR__set__fold,axiom,
% 191.16/191.42 ! [V_f_2,V_xs_2,T_c,T_b] :
% 191.16/191.42 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.42 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_INFI__set__fold,axiom,
% 191.16/191.42 ! [V_f_2,V_xs_2,T_c,T_b] :
% 191.16/191.42 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.42 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_elem__le__sum,axiom,
% 191.16/191.42 ! [V_ns_2,V_n_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 191.16/191.42 => 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))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__list__of__set__insert,axiom,
% 191.16/191.42 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.42 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lexord__Nil__left,axiom,
% 191.16/191.42 ! [V_r_2,V_y_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.42 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__key_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_x_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__key_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_fun__left__comm__insort,axiom,
% 191.16/191.42 ! [T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__key__left__comm,axiom,
% 191.16/191.42 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__left__comm,axiom,
% 191.16/191.42 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__insort,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__insort,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1__insort,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__not__Nil,axiom,
% 191.16/191.42 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__insort,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 191.16/191.42 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__insert__insort__key,axiom,
% 191.16/191.42 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 191.16/191.42 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__insert__insort,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__insort__insert,axiom,
% 191.16/191.42 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__insert__triv,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__insort__insert,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__insert__key__triv,axiom,
% 191.16/191.42 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 191.16/191.42 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__list__update,axiom,
% 191.16/191.42 ! [V_x,V_k,T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 191.16/191.42 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__conv__nth,axiom,
% 191.16/191.42 ! [T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__appendL,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_ys] :
% 191.16/191.42 ( V_ys = c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__appendR,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_ys] :
% 191.16/191.42 ( V_ys != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__append,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_ys] :
% 191.16/191.42 ( ( V_ys = c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 191.16/191.42 & ( V_ys != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__ConsL,axiom,
% 191.16/191.42 ! [V_x,T_a,V_xs] :
% 191.16/191.42 ( V_xs = c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__ConsR,axiom,
% 191.16/191.42 ! [V_x,T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last_Osimps,axiom,
% 191.16/191.42 ! [V_x,T_a,V_xs] :
% 191.16/191.42 ( ( V_xs = c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 191.16/191.42 & ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__in__set,axiom,
% 191.16/191.42 ! [T_b,V_as_2] :
% 191.16/191.42 ( V_as_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__snoc,axiom,
% 191.16/191.42 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__drop,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_n] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__butlast__last__id,axiom,
% 191.16/191.42 ! [T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_snoc__eq__iff__butlast,axiom,
% 191.16/191.42 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 191.16/191.42 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 191.16/191.42 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lists_Osimps,axiom,
% 191.16/191.42 ! [V_A_2,V_a_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 191.16/191.42 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 191.16/191.42 | ? [B_a,B_l] :
% 191.16/191.42 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 191.16/191.42 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.16/191.42 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_select__weigth__select,axiom,
% 191.16/191.42 ! [T_b,V_xs_2] :
% 191.16/191.42 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_inj__mapI,axiom,
% 191.16/191.42 ! [V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.42 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__map,axiom,
% 191.16/191.42 ! [V_f_2,T_c,T_b,V_xs_2] :
% 191.16/191.42 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_d,V_a_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_a_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,T_b)),T_b),c_COMBB(T_c,T_b,T_d)),V_g_2)),V_f_2),V_a_2),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__inj__on,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 191.16/191.42 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 191.16/191.42 => V_xs_2 = V_ys_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_inj__on__map__eq__map,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 191.16/191.42 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 191.16/191.42 <=> V_xs_2 = V_ys_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__map,axiom,
% 191.16/191.42 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 191.16/191.42 ( 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)))
% 191.16/191.42 => 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)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__fun__upd,axiom,
% 191.16/191.42 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 191.16/191.42 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__map,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__tl,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__map2,axiom,
% 191.16/191.42 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__zip__map2,axiom,
% 191.16/191.42 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__zip__map,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__map1,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__map__map,axiom,
% 191.16/191.42 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__same__conv__map,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__is__Nil__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Nil__is__map__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__update,axiom,
% 191.16/191.42 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__eq__conv,axiom,
% 191.16/191.42 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 191.16/191.42 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__eq__imp__length__eq,axiom,
% 191.16/191.42 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__addf,axiom,
% 191.16/191.42 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__subtractf,axiom,
% 191.16/191.42 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Groups_Oab__group__add(T_b)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__0,axiom,
% 191.16/191.42 ! [V_xs_2,T_c,T_b] :
% 191.16/191.42 ( class_Groups_Omonoid__add(T_b)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__mult__const,axiom,
% 191.16/191.42 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Rings_Osemiring__0(T_b)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_c_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),V_c_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__const__mult,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 191.16/191.42 ( class_Rings_Osemiring__0(T_b)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__injective,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 191.16/191.42 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.16/191.42 => V_xs_2 = V_ys_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_inj__map__eq__map,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.42 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 191.16/191.42 <=> V_xs_2 = V_ys_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__ident,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__map,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__butlast,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__map,axiom,
% 191.16/191.42 ! [V_f_2,T_c,T_b,V_xs_2] :
% 191.16/191.42 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__map,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_List_Omap_Oid,axiom,
% 191.16/191.42 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_List_Omap_Oidentity,axiom,
% 191.16/191.42 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_List_Omap_Ocomp,axiom,
% 191.16/191.42 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__comp__map,axiom,
% 191.16/191.42 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_List_Omap_Ocompositionality,axiom,
% 191.16/191.42 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__size__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 191.16/191.42 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 191.16/191.42 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__abs,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_uminus__listsum__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Groups_Oab__group__add(T_b)
% 191.16/191.42 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_inj__on__mapI,axiom,
% 191.16/191.42 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 191.16/191.42 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_inj__map,axiom,
% 191.16/191.42 ! [V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 191.16/191.42 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_inj__mapD,axiom,
% 191.16/191.42 ! [V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 191.16/191.42 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 191.16/191.42 ! [V_f_2,V_xs_2,T_b,T_c] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__triv,axiom,
% 191.16/191.42 ! [V_xs_2,V_r_2,T_c,T_b] :
% 191.16/191.42 ( class_Rings_Osemiring__1(T_b)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__map__remove1,axiom,
% 191.16/191.42 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 191.16/191.42 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.42 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.42 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.42 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_pick__same,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_l_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 191.16/191.42 ! [V_y_2,V_x_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.16/191.42 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 191.16/191.42 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_one__code__numeral__def,axiom,
% 191.16/191.42 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_less__code__numeral__code,axiom,
% 191.16/191.42 ! [V_m_2,V_n_2] :
% 191.16/191.42 ( 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)))
% 191.16/191.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zero__code__numeral__def,axiom,
% 191.16/191.42 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_times__code__numeral__code,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 191.16/191.42 ! [V_m_2,V_n_2] :
% 191.16/191.42 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 191.16/191.42 <=> V_n_2 = V_m_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 191.16/191.42 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__fst__zip,axiom,
% 191.16/191.42 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 191.16/191.42 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__snd__zip,axiom,
% 191.16/191.42 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 191.16/191.42 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_number__of__code__numeral__def,axiom,
% 191.16/191.42 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__map__fst__snd,axiom,
% 191.16/191.42 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 191.16/191.42
% 191.16/191.42 fof(fact_plus__code__numeral__code,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_less__eq__code__numeral__code,axiom,
% 191.16/191.42 ! [V_m_2,V_n_2] :
% 191.16/191.42 ( 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)))
% 191.16/191.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_pick__member,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_i_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__eq__conv,axiom,
% 191.16/191.42 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 191.16/191.42 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 191.16/191.42 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 191.16/191.42 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__size__conv__listsum,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_code__numeral__not__eq__zero,axiom,
% 191.16/191.42 ! [V_i_2] :
% 191.16/191.42 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.16/191.42 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 191.16/191.42 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.42 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 191.16/191.42 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_select__weight__member,axiom,
% 191.16/191.42 ! [V_s_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_select__weight__def,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_select__def,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_subtract__code__numeral__code,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nat__of__inverse,axiom,
% 191.16/191.42 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 191.16/191.42
% 191.16/191.42 fof(fact_of__nat__nat__of,axiom,
% 191.16/191.42 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nat__of__of__nat,axiom,
% 191.16/191.42 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 191.16/191.42
% 191.16/191.42 fof(fact_times__code__numeral__def,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 191.16/191.42 ! [V_l_2,V_k_2] :
% 191.16/191.42 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 191.16/191.42 <=> V_k_2 = V_l_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_code__numeral_Onat__of__inject,axiom,
% 191.16/191.42 ! [V_y_2,V_x_2] :
% 191.16/191.42 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 191.16/191.42 <=> V_x_2 = V_y_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_type__definition__code__numeral,axiom,
% 191.16/191.42 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_less__code__numeral__def,axiom,
% 191.16/191.42 ! [V_m_2,V_n_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 191.16/191.42 <=> 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))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nat__of,axiom,
% 191.16/191.42 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nat__of__number,axiom,
% 191.16/191.42 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_int__of__def,axiom,
% 191.16/191.42 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_less__eq__code__numeral__def,axiom,
% 191.16/191.42 ! [V_m_2,V_n_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 191.16/191.42 <=> 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))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nat__of__code,axiom,
% 191.16/191.42 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nat__of__aux__def,axiom,
% 191.16/191.42 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Suc__code__numeral__def,axiom,
% 191.16/191.42 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_minus__code__numeral__def,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_of__nat__inverse,axiom,
% 191.16/191.42 ! [V_y_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.16/191.42 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_plus__code__numeral__def,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_div__code__numeral__def,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_subtract__code__numeral__def,axiom,
% 191.16/191.42 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_minus__code__numeral__code,axiom,
% 191.16/191.42 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,V_n),V_m) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_mod__code__numeral__def,axiom,
% 191.16/191.42 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_code__numeral__decr,axiom,
% 191.16/191.42 ! [V_k] :
% 191.16/191.42 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__mono,axiom,
% 191.16/191.42 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 191.16/191.42 ( ( class_Groups_Omonoid__add(T_c)
% 191.16/191.42 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 191.16/191.42 => ( ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 191.16/191.42 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_partition__set,axiom,
% 191.16/191.42 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 191.16/191.42 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 191.16/191.42 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lists__IntI,axiom,
% 191.16/191.42 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 191.16/191.42 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp_ONil,axiom,
% 191.16/191.42 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp_Oequations_I1_J,axiom,
% 191.16/191.42 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_in__listsp__conv__set,axiom,
% 191.16/191.42 ! [V_xs_2,V_A_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp__conj__eq,axiom,
% 191.16/191.42 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 191.16/191.42 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 191.16/191.42 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp__inf__eq,axiom,
% 191.16/191.42 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp__infI,axiom,
% 191.16/191.42 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 191.16/191.42 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp_Oequations_I2_J,axiom,
% 191.16/191.42 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 191.16/191.42 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 191.16/191.42 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_append__in__listsp__conv,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 191.16/191.42 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 191.16/191.42 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp__mono,axiom,
% 191.16/191.42 ! [V_B_2,V_A_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_partition__P,axiom,
% 191.16/191.42 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 191.16/191.42 ( c_List_Opartition(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_yes_2),V_no_2)
% 191.16/191.42 => ( ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 191.16/191.42 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.42 & ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 191.16/191.42 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_partition_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),c_List_Olist_ONil(T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsp__lists__eq,axiom,
% 191.16/191.42 ! [V_x_2,V_A_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 191.16/191.42 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_partition_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),hAPP(c_If(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(V_Pa_2,V_x_2)))),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_List_Olist_OCons(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)))),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_List_Olist(T_b))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)))),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_lists__Int__eq,axiom,
% 191.16/191.42 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_product_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__def,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 191.16/191.42 & ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__map1,axiom,
% 191.16/191.42 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 191.16/191.42 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__map2,axiom,
% 191.16/191.42 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 191.16/191.42 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__dropI,axiom,
% 191.16/191.42 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 191.16/191.42 => 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)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__appendI,axiom,
% 191.16/191.42 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 191.16/191.42 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 191.16/191.42 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_a_2),V_c_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__append,axiom,
% 191.16/191.42 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 191.16/191.42 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2),hAPP(hAPP(c_List_Oappend(T_c),V_ys_2),V_vs_2))
% 191.16/191.42 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__Cons,axiom,
% 191.16/191.42 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2))
% 191.16/191.42 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.16/191.42 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__takeI,axiom,
% 191.16/191.42 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 => 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)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__eq,axiom,
% 191.16/191.42 ! [T_b,V_ys_2,V_xs_2] :
% 191.16/191.42 ( V_xs_2 = V_ys_2
% 191.16/191.42 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__lengthD,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__Nil,axiom,
% 191.16/191.42 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 191.16/191.42 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__Nil2,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_product_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_uu,T_b,T_a] : c_Enum_Oproduct(T_a,T_b,c_List_Olist_ONil(T_a),V_uu) = c_List_Olist_ONil(tc_prod(T_a,T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__nthD2,axiom,
% 191.16/191.42 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__nthD,axiom,
% 191.16/191.42 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_p_2)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),V_p_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__conv__all__nth,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 191.16/191.42 & ! [B_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_c),V_ys_2),B_i))) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__update__cong2,axiom,
% 191.16/191.42 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 191.16/191.42 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__update__cong,axiom,
% 191.16/191.42 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.16/191.42 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2),hAPP(hAPP(c_List_Olist__update(T_c,V_ys_2),V_i_2),V_y_2)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__product,axiom,
% 191.16/191.42 ! [V_ys,T_b,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_product__list__set,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_List_Oset(T_c),V_ys_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublists__powset,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),hAPP(c_List_Oset(tc_List_Olist(T_b)),c_Enum_Osublists(T_b,V_xs_2))) = hAPP(c_Set_OPow(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__sublists,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_Osublists(T_a,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublists_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : c_Enum_Osublists(T_a,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublists_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__set__sublists,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__n__lists,axiom,
% 191.16/191.42 ! [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)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_enum__the__def,axiom,
% 191.16/191.42 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__n__lists,axiom,
% 191.16/191.42 ! [V_n,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_n__lists__Nil,axiom,
% 191.16/191.42 ! [T_a,V_n] :
% 191.16/191.42 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) )
% 191.16/191.42 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_n__lists_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_xs,T_a] : c_Enum_On__lists(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_xs) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),c_List_Olist_ONil(tc_List_Olist(T_a))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__n__lists,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_a))),c_Enum_On__lists(T_a,V_n,V_xs)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__n__lists__elem,axiom,
% 191.16/191.42 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 191.16/191.42 ( 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))))
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2I,axiom,
% 191.16/191.42 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.42 ( ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_a_2),V_b_2))))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 191.16/191.42 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 191.16/191.42 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_all__nth__imp__all__set,axiom,
% 191.16/191.42 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 191.16/191.42 ( ! [B_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 191.16/191.42 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 191.16/191.42 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__removeAll__inj__on,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__remdups,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__remdups__leq,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1__remdups,axiom,
% 191.16/191.42 ! [V_x,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__remdups__id,axiom,
% 191.16/191.42 ! [V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__removeAll,axiom,
% 191.16/191.42 ! [V_x,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups__id__iff__distinct,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 191.16/191.42 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__remdups,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__remdups__eq,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 191.16/191.42 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups__remdups,axiom,
% 191.16/191.42 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups__eq__nil__iff,axiom,
% 191.16/191.42 ! [V_x_2,T_b] :
% 191.16/191.42 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_removeAll_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups__eq__nil__right__iff,axiom,
% 191.16/191.42 ! [V_x_2,T_b] :
% 191.16/191.42 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 191.16/191.42 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_removeAll_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_y,V_x] :
% 191.16/191.42 ( ( V_x = V_y
% 191.16/191.42 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) )
% 191.16/191.42 & ( V_x != V_y
% 191.16/191.42 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_removeAll__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)),hAPP(c_List_OremoveAll(T_a,V_x),V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups__map__remdups,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_removeAll__id,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__remove1__removeAll,axiom,
% 191.16/191.42 ! [V_x,V_xs,T_a] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.42 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__remdups__card__conv,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__removeAll__inj,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.42 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__removeAll,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__remdups__concat,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sort__key__simps_I1_J,axiom,
% 191.16/191.42 ! [V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__conv__concat,axiom,
% 191.16/191.42 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat__conv__foldl,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__sort,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__sort,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__sort,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 191.16/191.42 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat__eq__Nil__conv,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] :
% 191.16/191.42 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 191.16/191.42 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Nil__eq__concat__conv,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] :
% 191.16/191.42 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 191.16/191.42 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__concat,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__concat,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__concat,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sort__key__simps_I2_J,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sort__foldl__insort,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat__eq__concat__iff,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 191.16/191.42 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 191.16/191.42 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 191.16/191.42 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat__injective,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 191.16/191.42 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 191.16/191.42 => ( ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 191.16/191.42 => V_xs_2 = V_ys_2 ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_concat__map__singleton,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_n__lists_Osimps_I2_J,axiom,
% 191.16/191.42 ! [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))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose_Osimps_I3_J,axiom,
% 191.16/191.42 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__aux__filter__head,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__concat,axiom,
% 191.16/191.42 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__sort,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__filter,axiom,
% 191.16/191.42 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.42 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__is__subset,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__id__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__filter__le,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sum__length__filter__compl,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_partition__filter2,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_Pa_2)),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_partition__filter1,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__filter,axiom,
% 191.16/191.42 ! [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) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__remove1,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remove1__filter__not,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.16/191.42 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.42 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__insort__triv,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.42 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.16/191.42 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.42 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.42 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__empty__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_removeAll__filter__not__eq,axiom,
% 191.16/191.42 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_remdups__filter,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_removeAll__filter__not,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.16/191.42 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.42 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__transpose,axiom,
% 191.16/191.42 ! [V_xs_2,T_b,V_i_2] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__map__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__filter,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)))),V_Pa_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__filter__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(c_List_Ofilter(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2)),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__filter__less,axiom,
% 191.16/191.42 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_partition__filter__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__minus__filter__out,axiom,
% 191.16/191.42 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__in__sublist,axiom,
% 191.16/191.42 ! [V_s_2,V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.42 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__empty,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__filter__conv__card,axiom,
% 191.16/191.42 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__aux__filter__tail,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose_Opsimps_I3_J,axiom,
% 191.16/191.42 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 191.16/191.42 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose_Opsimps_I2_J,axiom,
% 191.16/191.42 ! [V_xss_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 191.16/191.42 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__shift__lemma__Suc,axiom,
% 191.16/191.42 ! [V_is_2,V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_prod(T_b,tc_Nat_Onat)),c_Nat_OSuc),c_Product__Type_Osnd(T_b,tc_Nat_Onat)))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),V_is_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_prod(T_b,tc_Nat_Onat)),V_Pa_2),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),V_is_2)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_select__weigth__drop__zero,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_pick__drop__zero,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose_Opsimps_I1_J,axiom,
% 191.16/191.42 ! [T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 191.16/191.42 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__max__length,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__aux__max,axiom,
% 191.16/191.42 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldr_Osimps_I1_J,axiom,
% 191.16/191.42 ! [V_a_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c),V_a_2) = V_a_2 ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldr_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_a_2,V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2),V_a_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldr__append,axiom,
% 191.16/191.42 ! [V_a_2,V_ys_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2),V_a_2) = c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,c_List_Ofoldr(T_c,T_b,V_f_2,V_ys_2,V_a_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldr__conv__foldl,axiom,
% 191.16/191.42 ! [V_a_2,V_xs_2,T_b] :
% 191.16/191.42 ( class_Groups_Oab__semigroup__add(T_b)
% 191.16/191.42 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldr__map,axiom,
% 191.16/191.42 ! [V_a_2,V_xs_2,V_f_2,T_d,V_g_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_g_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_xs_2),V_a_2) = c_List_Ofoldr(T_d,T_b,hAPP(c_Fun_Ocomp(T_c,tc_fun(T_b,T_b),T_d,V_g_2),V_f_2),V_xs_2,V_a_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__foldr1__lemma,axiom,
% 191.16/191.42 ! [V_xs_2,V_a_2,T_b] :
% 191.16/191.42 ( class_Groups_Omonoid__add(T_b)
% 191.16/191.42 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__foldr1,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Groups_Omonoid__add(T_b)
% 191.16/191.42 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__transpose,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__def,axiom,
% 191.16/191.42 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sublist__shift__lemma,axiom,
% 191.16/191.42 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__upt,axiom,
% 191.16/191.42 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_atLeastLessThan__upt,axiom,
% 191.16/191.42 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__Suc,axiom,
% 191.16/191.42 ! [V_j,V_i] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__Suc__append,axiom,
% 191.16/191.42 ! [V_j,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__add__eq__append,axiom,
% 191.16/191.42 ! [V_k,V_j,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__rec,axiom,
% 191.16/191.42 ! [V_j,V_i] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__conv__Cons,axiom,
% 191.16/191.42 ! [V_j,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__conv__Nil,axiom,
% 191.16/191.42 ! [V_i,V_j] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 191.16/191.42 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__eq__Nil__conv,axiom,
% 191.16/191.42 ! [V_j_2,V_i_2] :
% 191.16/191.42 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 191.16/191.42 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.42 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__0,axiom,
% 191.16/191.42 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_take__upt,axiom,
% 191.16/191.42 ! [V_n,V_m,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n))
% 191.16/191.42 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__list__of__set__range,axiom,
% 191.16/191.42 ! [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) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__upt,axiom,
% 191.16/191.42 ! [V_j,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_drop__upt,axiom,
% 191.16/191.42 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__upt,axiom,
% 191.16/191.42 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__upt,axiom,
% 191.16/191.42 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__rec__number__of,axiom,
% 191.16/191.42 ! [V_n,V_m] :
% 191.16/191.42 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 191.16/191.42 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) )
% 191.16/191.42 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 191.16/191.42 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_upt__eq__Cons__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 191.16/191.42 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 191.16/191.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 191.16/191.42 & V_i_2 = V_x_2
% 191.16/191.42 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__upt,axiom,
% 191.16/191.42 ! [V_j,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__Suc__upt,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_atLeastAtMost__upt,axiom,
% 191.16/191.42 ! [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))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_atLeast__upt,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__upt,axiom,
% 191.16/191.42 ! [V_j,V_k,V_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j))
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_greaterThanAtMost__upt,axiom,
% 191.16/191.42 ! [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))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_greaterThanLessThan__upt,axiom,
% 191.16/191.42 ! [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)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_atMost__upto,axiom,
% 191.16/191.42 ! [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))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__nth,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 191.16/191.42
% 191.16/191.42 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 191.16/191.42 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.42 => 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))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 191.16/191.42 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.16/191.42 => 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))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__map__upt,axiom,
% 191.16/191.42 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 191.16/191.42 ( 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)))
% 191.16/191.42 => 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)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__rectangle,axiom,
% 191.16/191.42 ! [V_n_2,T_b,V_xs_2] :
% 191.16/191.42 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.16/191.42 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.16/191.42 => ( ! [B_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => 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 )
% 191.16/191.42 => 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)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__key__remove1,axiom,
% 191.16/191.42 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 191.16/191.42 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_a_2))),V_f_2)),V_xs_2)) = V_a_2
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted_ONil,axiom,
% 191.16/191.42 ! [T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__single,axiom,
% 191.16/191.42 ! [V_x,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__upt,axiom,
% 191.16/191.42 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__sort,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__insort__insert,axiom,
% 191.16/191.42 ! [V_x_2,V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__drop,axiom,
% 191.16/191.42 ! [V_n,V_xs,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__upto,axiom,
% 191.16/191.42 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__take,axiom,
% 191.16/191.42 ! [V_n,V_xs,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__remove1,axiom,
% 191.16/191.42 ! [V_a,V_xs,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__tl,axiom,
% 191.16/191.42 ! [V_xs,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__insort,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 191.16/191.42 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__butlast,axiom,
% 191.16/191.42 ! [V_xs,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted_Oequations_I1_J,axiom,
% 191.16/191.42 ! [T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__many,axiom,
% 191.16/191.42 ! [V_zs,V_y,V_x,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__many__eq,axiom,
% 191.16/191.42 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 191.16/191.42 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.16/191.42 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__remdups,axiom,
% 191.16/191.42 ! [V_l,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__distinct__set__unique,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 191.16/191.42 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 191.16/191.42 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__sort__key,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__insort__insert__key,axiom,
% 191.16/191.42 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__map__remove1,axiom,
% 191.16/191.42 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__insort__key,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 191.16/191.42 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__map__same,axiom,
% 191.16/191.42 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__filter,axiom,
% 191.16/191.42 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__same,axiom,
% 191.16/191.42 ! [V_xs_2,V_g_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__Cons,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.16/191.42 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.42 & ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__append,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 191.16/191.42 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.42 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 191.16/191.42 & ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => ! [B_xa] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_filter__insort,axiom,
% 191.16/191.42 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 191.16/191.42 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.42 => hAPP(c_List_Ofilter(T_c,V_Pa_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2)) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted_Oequations_I2_J,axiom,
% 191.16/191.42 ! [V_a1_2,V_a2_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 191.16/191.42 <=> ( ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 191.16/191.42 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__list__of__set,axiom,
% 191.16/191.42 ! [V_A_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.42 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 191.16/191.42 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 191.16/191.42 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_insort__remove1,axiom,
% 191.16/191.42 ! [V_xs_2,V_a_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.42 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_a_2),c_List_Oremove1(T_b,V_a_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__equals__nth__mono,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.42 <=> ! [B_j] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.42 => ! [B_i] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__nth__mono,axiom,
% 191.16/191.42 ! [V_j,V_i,V_xs,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_map__sorted__distinct__set__unique,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_c)
% 191.16/191.42 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 191.16/191.42 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 191.16/191.42 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 191.16/191.42 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__column,axiom,
% 191.16/191.42 ! [V_i_2,V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_nth__nth__transpose__sorted,axiom,
% 191.16/191.42 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_inj__on__rev,axiom,
% 191.16/191.42 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_distinct__rev,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 191.16/191.42 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__is__Nil__conv,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_Nil__is__rev__conv,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 191.16/191.42 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev_Osimps_I1_J,axiom,
% 191.16/191.42 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_singleton__rev__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.42 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 191.16/191.42 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__singleton__conv,axiom,
% 191.16/191.42 ! [V_x_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 191.16/191.42 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__append,axiom,
% 191.16/191.42 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__concat,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__map,axiom,
% 191.16/191.42 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__filter,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__rev,axiom,
% 191.16/191.42 ! [V_ys,T_b,V_xs,T_a] :
% 191.16/191.42 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)
% 191.16/191.42 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__rev,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__rev,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 191.16/191.42 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_list__all2__rev1,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 191.16/191.42 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 191.16/191.42 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__rev__ident,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__swap,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 191.16/191.42 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__is__rev__conv,axiom,
% 191.16/191.42 ! [V_ys_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 191.16/191.42 <=> V_xs_2 = V_ys_2 ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_listsum__rev,axiom,
% 191.16/191.42 ! [V_xs,T_a] :
% 191.16/191.42 ( class_Groups_Ocomm__monoid__add(T_a)
% 191.16/191.42 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__rev,axiom,
% 191.16/191.42 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldr__foldl,axiom,
% 191.16/191.42 ! [V_a_2,V_xs_2,V_f_2,T_b,T_c] : c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_a_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_a_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldl__foldr,axiom,
% 191.16/191.42 ! [V_xs_2,V_a_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_a_2),V_xs_2) = c_List_Ofoldr(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2),V_a_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__eq__Cons__iff,axiom,
% 191.16/191.42 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 191.16/191.42 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 191.16/191.42 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev_Osimps_I2_J,axiom,
% 191.16/191.42 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_hd__rev,axiom,
% 191.16/191.42 ! [T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_last__rev,axiom,
% 191.16/191.42 ! [T_a,V_xs] :
% 191.16/191.42 ( V_xs != c_List_Olist_ONil(T_a)
% 191.16/191.42 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__transpose,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__foldl__cons,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__drop,axiom,
% 191.16/191.42 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__take,axiom,
% 191.16/191.42 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rotate__rev,axiom,
% 191.16/191.42 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__nth,axiom,
% 191.16/191.42 ! [V_xs,T_a,V_n] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_rev__update,axiom,
% 191.16/191.42 ! [V_y,V_xs,T_a,V_k] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__rev__nth__mono,axiom,
% 191.16/191.42 ! [V_j,V_i,V_xs,T_a] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_a)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.42 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_foldr__max__sorted,axiom,
% 191.16/191.42 ! [V_y_2,V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 191.16/191.42 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 191.16/191.42 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 191.16/191.42 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.42 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__transpose__sorted,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.16/191.42 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__column__length,axiom,
% 191.16/191.42 ! [V_i_2,V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transpose__transpose,axiom,
% 191.16/191.42 ! [V_xs_2,T_b] :
% 191.16/191.42 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 191.16/191.42 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 191.16/191.42 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_sorted__takeWhile,axiom,
% 191.16/191.42 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.42 ( class_Orderings_Olinorder(T_b)
% 191.16/191.42 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.42 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_length__takeWhile__le,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_takeWhile__eq__all__conv,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.42 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 191.16/191.42 <=> ! [B_x] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_set__takeWhileD,axiom,
% 191.16/191.42 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 191.16/191.42 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 191.16/191.42 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.42 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.16/191.42
% 191.16/191.42 fof(fact_zip__takeWhile__snd,axiom,
% 191.16/191.42 ! [V_ys_2,V_Pa_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),c_List_OtakeWhile(T_c,V_Pa_2,V_ys_2)) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_c,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_zip__takeWhile__fst,axiom,
% 191.16/191.43 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) = c_List_OtakeWhile(tc_prod(T_b,T_c),hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,tc_prod(T_b,T_c),V_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__map,axiom,
% 191.16/191.43 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OtakeWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__tail,axiom,
% 191.16/191.43 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2))) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 191.16/191.43 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.16/191.43 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) )
% 191.16/191.43 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__eq__take,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_distinct__takeWhile,axiom,
% 191.16/191.43 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.43 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_return__list__def,axiom,
% 191.16/191.43 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__append1,axiom,
% 191.16/191.43 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_nth__length__takeWhile,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__nth,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 191.16/191.43 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__not__last,axiom,
% 191.16/191.43 ! [T_b,V_xs_2] :
% 191.16/191.43 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 191.16/191.43 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.43 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 191.16/191.43 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( class_Orderings_Olinorder(T_b)
% 191.16/191.43 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 191.16/191.43 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 191.16/191.43 ! [V_l] :
% 191.16/191.43 ( c_List_Onat__list(V_l)
% 191.16/191.43 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 191.16/191.43 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_embed__list__def,axiom,
% 191.16/191.43 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__neq__rev,axiom,
% 191.16/191.43 ! [V_x_2,V_xs_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__neq__rev,axiom,
% 191.16/191.43 ! [V_x_2,V_xs_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__dropWhile__id,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sorted__dropWhile,axiom,
% 191.16/191.43 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.43 ( class_Orderings_Olinorder(T_b)
% 191.16/191.43 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.43 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_length__dropWhile__le,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 191.16/191.43 <=> ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 191.16/191.43 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 191.16/191.43 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) )
% 191.16/191.43 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_distinct__dropWhile,axiom,
% 191.16/191.43 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 191.16/191.43 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_hd__dropWhile,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 191.16/191.43 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__map,axiom,
% 191.16/191.43 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_OdropWhile(T_c,hAPP(c_Fun_Ocomp(T_b,tc_HOL_Obool,T_c,V_Pa_2),V_f_2),V_xs_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__append1,axiom,
% 191.16/191.43 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 191.16/191.43 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 191.16/191.43 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 191.16/191.43 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__eq__drop,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),V_xs_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__nth,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 191.16/191.43 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_listsum__map__filter,axiom,
% 191.16/191.43 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 191.16/191.43 ( class_Groups_Omonoid__add(T_c)
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.43 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 191.16/191.43 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sorted__nth__monoI,axiom,
% 191.16/191.43 ! [V_xs,T_a] :
% 191.16/191.43 ( class_Orderings_Olinorder(T_a)
% 191.16/191.43 => ( ! [B_i,B_j] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) )
% 191.16/191.43 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__eq__filter,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 191.16/191.43 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 191.16/191.43 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 191.16/191.43 ( ! [B_i] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 191.16/191.43 => ( ( 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)))
% 191.16/191.43 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 191.16/191.43 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_length__takeWhile__less__P__nth,axiom,
% 191.16/191.43 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 191.16/191.43 ( ! [B_i] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sorted_Osimps,axiom,
% 191.16/191.43 ! [V_a_2,T_b] :
% 191.16/191.43 ( class_Orderings_Olinorder(T_b)
% 191.16/191.43 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 191.16/191.43 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 191.16/191.43 | ? [B_xs,B_x] :
% 191.16/191.43 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 191.16/191.43 & ! [B_xa] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 191.16/191.43 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_not__in__set__insert,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_List_Oinsert__def,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 191.16/191.43 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_insert__remdups,axiom,
% 191.16/191.43 ! [V_xs,V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oinsert(T_a,V_x,V_xs)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_distinct__insert,axiom,
% 191.16/191.43 ! [V_x,V_xs,T_a] :
% 191.16/191.43 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 191.16/191.43 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__set__insert,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_List_Oset__insert,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_insert__Nil,axiom,
% 191.16/191.43 ! [V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_maps__def,axiom,
% 191.16/191.43 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_concat__map__maps,axiom,
% 191.16/191.43 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_maps__simps_I2_J,axiom,
% 191.16/191.43 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_maps__simps_I1_J,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_distinct__concat,axiom,
% 191.16/191.43 ! [V_xs_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 191.16/191.43 => ( ! [B_ys] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 191.16/191.43 => ( ! [B_ys] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 => ! [B_zs] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 => ( B_ys != B_zs
% 191.16/191.43 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 191.16/191.43 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_measures__lesseq,axiom,
% 191.16/191.43 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_wf__measures,axiom,
% 191.16/191.43 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__measures_I1_J,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_measures__def,axiom,
% 191.16/191.43 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__measures_I2_J,axiom,
% 191.16/191.43 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 191.16/191.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.16/191.43 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.16/191.43 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_measures__less,axiom,
% 191.16/191.43 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_foldl__apply,axiom,
% 191.16/191.43 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 191.16/191.43 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_order__fun_I2_J,axiom,
% 191.16/191.43 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.16/191.43 ( ( class_Orderings_Oorder(T_c)
% 191.16/191.43 & class_Enum_Oenum(T_b) )
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.16/191.43 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.16/191.43 & hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_g_2)))) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_enum__ex__prod__def,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b,T_c] :
% 191.16/191.43 ( ( class_Enum_Oenum(T_c)
% 191.16/191.43 & class_Enum_Oenum(T_b) )
% 191.16/191.43 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 191.16/191.43 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__ex(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_enum__ex,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] :
% 191.16/191.43 ( class_Enum_Oenum(T_b)
% 191.16/191.43 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 191.16/191.43 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_exists__code,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] :
% 191.16/191.43 ( class_Enum_Oenum(T_b)
% 191.16/191.43 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.16/191.43 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_zip__obtain__same__length,axiom,
% 191.16/191.43 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 191.16/191.43 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2)))) )
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pos__not__random__dseq__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_dropWhile__append2,axiom,
% 191.16/191.43 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all2__all__nthI,axiom,
% 191.16/191.43 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 191.16/191.43 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 191.16/191.43 => ( ! [B_n] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_a_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_a_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 191.16/191.43 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_finite__sorted__distinct__unique,axiom,
% 191.16/191.43 ! [V_A_2,T_b] :
% 191.16/191.43 ( class_Orderings_Olinorder(T_b)
% 191.16/191.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.43 => ? [B_x] :
% 191.16/191.43 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 191.16/191.43 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 191.16/191.43 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 191.16/191.43 & ! [B_y] :
% 191.16/191.43 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 191.16/191.43 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 191.16/191.43 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 191.16/191.43 => B_y = B_x ) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_takeWhile__append2,axiom,
% 191.16/191.43 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_OtakeWhile(T_b,V_Pa_2,V_ys_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_insort__is__Cons,axiom,
% 191.16/191.43 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 191.16/191.43 ( class_Orderings_Olinorder(T_c)
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 191.16/191.43 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_a_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_2),V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Cons__eq__filter__iff,axiom,
% 191.16/191.43 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)
% 191.16/191.43 <=> ? [B_us,B_vs] :
% 191.16/191.43 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 191.16/191.43 & ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 191.16/191.43 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_filter__eq__Cons__iff,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 191.16/191.43 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 191.16/191.43 <=> ? [B_us,B_vs] :
% 191.16/191.43 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_vs))
% 191.16/191.43 & ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 191.16/191.43 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_order__fun_I1_J,axiom,
% 191.16/191.43 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.16/191.43 ( ( class_Orderings_Oorder(T_c)
% 191.16/191.43 & class_Enum_Oenum(T_b) )
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.16/191.43 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBS(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_Orderings_Oord__class_Oless__eq(T_c)),V_f_2)),V_g_2))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_all__code,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] :
% 191.16/191.43 ( class_Enum_Oenum(T_b)
% 191.16/191.43 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.16/191.43 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_enum__all,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] :
% 191.16/191.43 ( class_Enum_Oenum(T_b)
% 191.16/191.43 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 191.16/191.43 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_enum__all__prod__def,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b,T_c] :
% 191.16/191.43 ( ( class_Enum_Oenum(T_c)
% 191.16/191.43 & class_Enum_Oenum(T_b) )
% 191.16/191.43 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 191.16/191.43 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_Enum_Oenum__class_Oenum__all(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ball__nth,axiom,
% 191.16/191.43 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 191.16/191.43 ( 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)))
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sorted_OCons,axiom,
% 191.16/191.43 ! [V_x_2,V_xs_2,T_b] :
% 191.16/191.43 ( class_Orderings_Olinorder(T_b)
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 191.16/191.43 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 191.16/191.43 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__length,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ? [B_n] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__set__conv__decomp__first,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 <=> ? [B_ys] :
% 191.16/191.43 ( ? [B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 191.16/191.43 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__simps_I2_J,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__append,axiom,
% 191.16/191.43 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 191.16/191.43 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__iff,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__rev,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 191.16/191.43 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__simps_I1_J,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.16/191.43 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__set__conv__decomp,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 <=> ? [B_ys,B_zs] : V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__set__conv__decomp__last,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 <=> ? [B_ys,B_zs] :
% 191.16/191.43 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_zs))
% 191.16/191.43 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__length,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ! [B_n] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_measure__function__int,axiom,
% 191.16/191.43 c_FunDef_Ois__measure(tc_Int_Oint,hAPP(c_Fun_Ocomp(tc_Int_Oint,tc_Nat_Onat,tc_Int_Oint,c_Int_Onat),c_Groups_Oabs__class_Oabs(tc_Int_Oint))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__simps_I2_J,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__append,axiom,
% 191.16/191.43 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 191.16/191.43 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_measure__size,axiom,
% 191.16/191.43 ! [T_b] :
% 191.16/191.43 ( class_Nat_Osize(T_b)
% 191.16/191.43 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_is__measure_Osimps,axiom,
% 191.16/191.43 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_is__measure_Oequations,axiom,
% 191.16/191.43 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_is__measure_Ointros,axiom,
% 191.16/191.43 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__iff,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_measure__fst,axiom,
% 191.16/191.43 ! [T_c,V_f_2,T_b] :
% 191.16/191.43 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 191.16/191.43 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_measure__snd,axiom,
% 191.16/191.43 ! [T_c,V_f_2,T_b] :
% 191.16/191.43 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 191.16/191.43 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__rev,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 191.16/191.43 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__simps_I1_J,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.16/191.43 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Ball__set__list__all,axiom,
% 191.16/191.43 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__iff__raw,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex1__simps_I2_J,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 191.16/191.43 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 191.16/191.43 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_transfer__morphism__int__nat,axiom,
% 191.16/191.43 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex1__simps_I1_J,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bool_Osize_I4_J,axiom,
% 191.16/191.43 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bool_Osize_I3_J,axiom,
% 191.16/191.43 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex1__iff,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.43 & ! [B_y] :
% 191.16/191.43 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 191.16/191.43 => B_y = B_x ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 191.16/191.43 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 191.16/191.43 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.43 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 191.16/191.43 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.43 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 191.16/191.43 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 191.16/191.43 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.43 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 191.16/191.43 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.16/191.43 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 191.16/191.43 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 191.16/191.43 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pos__empty__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_neg__bind__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 191.16/191.43 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_neg__map__def,axiom,
% 191.16/191.43 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),T_c,c_New__Random__Sequence_Oneg__single(T_b)),V_f_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_neg__single__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pos__bind__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 191.16/191.43 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pos__map__def,axiom,
% 191.16/191.43 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),T_c,c_New__Random__Sequence_Opos__single(T_b)),V_f_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pos__single__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_length__splice,axiom,
% 191.16/191.43 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_splice_Osimps_I3_J,axiom,
% 191.16/191.43 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_splice_Osimps_I1_J,axiom,
% 191.16/191.43 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 191.16/191.43
% 191.16/191.43 fof(fact_splice__Nil2,axiom,
% 191.16/191.43 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 191.16/191.43
% 191.16/191.43 fof(fact_splice_Osimps_I2_J,axiom,
% 191.16/191.43 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Opos__single__def,axiom,
% 191.16/191.43 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_acyclicP__converse,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 191.16/191.43 <=> c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversep__noteq,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 191.16/191.43 <=> V_x_2 != V_y_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversepD,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversep_Ointros,axiom,
% 191.16/191.43 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversep_Oequations,axiom,
% 191.16/191.43 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 191.16/191.43 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversep__iff,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 191.16/191.43 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversep__conversep,axiom,
% 191.16/191.43 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversep__eq,axiom,
% 191.16/191.43 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 191.16/191.43
% 191.16/191.43 fof(fact_converse__pred__comp,axiom,
% 191.16/191.43 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_converse__join,axiom,
% 191.16/191.43 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_converse__meet,axiom,
% 191.16/191.43 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_conversep__converse__eq,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 191.16/191.43 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_,axiom,
% 191.16/191.43 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_tl__replicate,axiom,
% 191.16/191.43 ! [V_x,T_a,V_n] :
% 191.16/191.43 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.43 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__length__filter,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_length__replicate,axiom,
% 191.16/191.43 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ).
% 191.16/191.43
% 191.16/191.43 fof(fact_map__replicate__const,axiom,
% 191.16/191.43 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__app__Cons__same,axiom,
% 191.16/191.43 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__Suc,axiom,
% 191.16/191.43 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_rev__replicate,axiom,
% 191.16/191.43 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_drop__replicate,axiom,
% 191.16/191.43 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_hd__replicate,axiom,
% 191.16/191.43 ! [V_x,T_a,V_n] :
% 191.16/191.43 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.43 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_take__replicate,axiom,
% 191.16/191.43 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_last__replicate,axiom,
% 191.16/191.43 ! [V_x,T_a,V_n] :
% 191.16/191.43 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.43 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_zip__replicate,axiom,
% 191.16/191.43 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Bex__set__replicate,axiom,
% 191.16/191.43 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 191.16/191.43 ( ? [B_x] :
% 191.16/191.43 ( 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))))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.16/191.43 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Ball__set__replicate,axiom,
% 191.16/191.43 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( 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))))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.16/191.43 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__eq__replicate,axiom,
% 191.16/191.43 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 191.16/191.43 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 191.16/191.43 <=> ( V_m_2 = V_n_2
% 191.16/191.43 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.43 => V_x_2 = V_y_2 ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_nth__replicate,axiom,
% 191.16/191.43 ! [V_x,T_a,V_n,V_i] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 191.16/191.43 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_append__replicate__commute,axiom,
% 191.16/191.43 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__add,axiom,
% 191.16/191.43 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_filter__replicate,axiom,
% 191.16/191.43 ! [V_n_2,T_b,V_x_2,V_Pa_2] :
% 191.16/191.43 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => 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) )
% 191.16/191.43 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.16/191.43 => 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) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_concat__replicate__trivial,axiom,
% 191.16/191.43 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__0,axiom,
% 191.16/191.43 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_empty__replicate,axiom,
% 191.16/191.43 ! [V_x_2,V_n_2,T_b] :
% 191.16/191.43 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 191.16/191.43 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__empty,axiom,
% 191.16/191.43 ! [V_x_2,V_n_2,T_b] :
% 191.16/191.43 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 191.16/191.43 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_map__replicate,axiom,
% 191.16/191.43 ! [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)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__set__replicate,axiom,
% 191.16/191.43 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 191.16/191.43 ( 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))))
% 191.16/191.43 <=> ( V_x_2 = V_y_2
% 191.16/191.43 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_replicate__append__same,axiom,
% 191.16/191.43 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_map__replicate__trivial,axiom,
% 191.16/191.43 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_set__replicate,axiom,
% 191.16/191.43 ! [V_x_2,T_b,V_n_2] :
% 191.16/191.43 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.43 => 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))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_set__replicate__conv__if,axiom,
% 191.16/191.43 ! [V_x_2,T_b,V_n_2] :
% 191.16/191.43 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.43 => 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)) )
% 191.16/191.43 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.16/191.43 => 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))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_set__replicate__Suc,axiom,
% 191.16/191.43 ! [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))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_small__lazy__list_Osimps,axiom,
% 191.16/191.43 ! [V_d_2,T_b] :
% 191.16/191.43 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 191.16/191.43 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_eq__comp__r,axiom,
% 191.16/191.43 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 191.16/191.43
% 191.16/191.43 fof(fact_small__lazy__prod__def,axiom,
% 191.16/191.43 ! [V_d,T_b,T_a] :
% 191.16/191.43 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 191.16/191.43 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 191.16/191.43 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_New__DSequence_Opos__union__def,axiom,
% 191.16/191.43 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_field__le__epsilon,axiom,
% 191.16/191.43 ! [V_y,V_x,T_a] :
% 191.16/191.43 ( class_Fields_Olinordered__field(T_a)
% 191.16/191.43 => ( ! [B_e] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),B_e))) )
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pos__union__def,axiom,
% 191.16/191.43 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_small__lazy_H_Osimps,axiom,
% 191.16/191.43 ! [V_i,V_d] :
% 191.16/191.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 191.16/191.43 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 191.16/191.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 191.16/191.43 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_small__lazy__int__def,axiom,
% 191.16/191.43 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_small__lazy_H_Opsimps,axiom,
% 191.16/191.43 ! [V_i_2,V_d_2] :
% 191.16/191.43 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))
% 191.16/191.43 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 191.16/191.43 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 191.16/191.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 191.16/191.43 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 191.16/191.43 ! [V_lazy__sequence,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a,V_lazy__sequence)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_lazy__sequence)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact__01,axiom,
% 191.16/191.43 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Oinject,axiom,
% 191.16/191.43 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 191.16/191.43 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 191.16/191.43 <=> ( V_a_2 = V_a_H_2
% 191.16/191.43 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 191.16/191.43 ! [V_lazy__sequence_2,V_a_2,V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),V_lazy__sequence_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_small__lazy_H_Opinduct,axiom,
% 191.16/191.43 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.16/191.43 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.16/191.43 => ( ! [B_d,B_i] :
% 191.16/191.43 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))
% 191.16/191.43 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_size__code,axiom,
% 191.16/191.43 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence__size__code,axiom,
% 191.16/191.43 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_seq__case,axiom,
% 191.16/191.43 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_yieldn__def,axiom,
% 191.16/191.43 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 191.16/191.43 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_refl__on__INTER,axiom,
% 191.16/191.43 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.16/191.43 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 191.16/191.43 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_List_Omember__def,axiom,
% 191.16/191.43 ! [V_x_2,V_xs_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 191.16/191.43 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_member__rec_I1_J,axiom,
% 191.16/191.43 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 191.16/191.43 <=> ( V_x_2 = V_y_2
% 191.16/191.43 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_member__set,axiom,
% 191.16/191.43 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_member__rec_I2_J,axiom,
% 191.16/191.43 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_in__set__member,axiom,
% 191.16/191.43 ! [V_xs_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pair__box_Osize_I1_J,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_fb_2,V_fa_2,T_c,T_b] : c_Nitpick_Opair__box_Opair__box__size(T_b,T_c,V_fa_2,V_fb_2,c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_fa_2,V_a_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex1__iff__raw,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.43 & ! [B_y] :
% 191.16/191.43 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 191.16/191.43 => B_y = B_x ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pair__box_Osize_I2_J,axiom,
% 191.16/191.43 ! [V_b,V_a,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(T_a,T_b)),c_Nitpick_Opair__box_OPairBox(T_a,T_b,V_a,V_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pair__box_Oinject,axiom,
% 191.16/191.43 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.16/191.43 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 191.16/191.43 <=> ( V_a_2 = V_a_H_2
% 191.16/191.43 & V_b_2 = V_b_H_2 ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pair__box_Osimps_I2_J,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__case(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_pair__box_Orecs,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Nitpick_Opair__box_Opair__box__rec(T_c,T_d,T_b,V_f1_2,c_Nitpick_Opair__box_OPairBox(T_c,T_d,V_a_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_THE__default__def,axiom,
% 191.16/191.43 ! [V_d_2,T_b,V_Pa_2] :
% 191.16/191.43 ( ( ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.43 & ! [B_y] :
% 191.16/191.43 ( hBOOL(hAPP(V_Pa_2,B_y))
% 191.16/191.43 => B_y = B_x ) )
% 191.16/191.43 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 191.16/191.43 & ( ~ ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.16/191.43 & ! [B_y] :
% 191.16/191.43 ( hBOOL(hAPP(V_Pa_2,B_y))
% 191.16/191.43 => B_y = B_x ) )
% 191.16/191.43 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_setsum__UNION__zero,axiom,
% 191.16/191.43 ! [V_f_2,V_S_2,T_b,T_c] :
% 191.16/191.43 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.16/191.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 191.16/191.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 191.16/191.43 => ( ! [B_T1] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 191.16/191.43 => ! [B_T2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 191.16/191.43 => ( B_T1 != B_T2
% 191.16/191.43 => ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 191.16/191.43 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 191.16/191.43 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_SUP2__E,axiom,
% 191.16/191.43 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 191.16/191.43 => ~ ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.43 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_INF2__I,axiom,
% 191.16/191.43 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 191.16/191.43 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_finite__maxlen,axiom,
% 191.16/191.43 ! [V_M_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 191.16/191.43 => ? [B_n] :
% 191.16/191.43 ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 191.16/191.43 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 191.16/191.43 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 191.16/191.43 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 191.16/191.43
% 191.16/191.43 fof(fact__02,axiom,
% 191.16/191.43 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 191.16/191.43 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 191.16/191.43 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__all__iff__all__interval__int,axiom,
% 191.16/191.43 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.16/191.43 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 191.16/191.43 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 191.16/191.43 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.16/191.43 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 191.16/191.43 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_all__interval__int__def,axiom,
% 191.16/191.43 ! [V_j_2,V_i_2,V_Pa_2] :
% 191.16/191.43 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 191.16/191.43 <=> ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 191.16/191.43 ! [V_code__numeral_2,V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2)) = hAPP(hAPP(V_f2_2,V_code__numeral_2),c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,V_code__numeral_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Random_Osimps,axiom,
% 191.16/191.43 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 191.16/191.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 191.16/191.43 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 191.16/191.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 191.16/191.43 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 191.16/191.43 ! [V_f2_2,V_f1_2,T_b] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = V_f1_2 ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Random__Sequence_Oempty__def,axiom,
% 191.16/191.43 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Random__Sequence_Osingle__def,axiom,
% 191.16/191.43 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Random__Sequence_Omap__def,axiom,
% 191.16/191.43 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_2,hAPP(c_Fun_Ocomp(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))))),T_c,c_Random__Sequence_Osingle(T_b)),V_f_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_exE__realizer,axiom,
% 191.16/191.43 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2)),hAPP(c_Product__Type_Ofst(T_c,T_b),V_p_2)))
% 191.16/191.43 => ( ! [B_x,B_y] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 191.16/191.43 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 191.16/191.43 => 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))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Image__Collect__split,axiom,
% 191.16/191.43 ! [V_A_2,V_Pa_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(c_Set_OCollect(tc_prod(T_c,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,tc_HOL_Obool),V_Pa_2))),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),V_Pa_2)))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lexord__trans,axiom,
% 191.16/191.43 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 191.16/191.43 => ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__less__than,axiom,
% 191.16/191.43 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__lex__prod,axiom,
% 191.16/191.43 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_R1_2)
% 191.16/191.43 => ( c_Relation_Otrans(T_c,V_R2_2)
% 191.16/191.43 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__def,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 <=> ! [B_x,B_y] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 191.16/191.43 => ! [B_z] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_transD,axiom,
% 191.16/191.43 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_UN__eq,axiom,
% 191.16/191.43 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__reflclI,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__O__subset,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__Int,axiom,
% 191.16/191.43 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => ( c_Relation_Otrans(T_b,V_s_2)
% 191.16/191.43 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__rtrancl,axiom,
% 191.16/191.43 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__finite__psubset,axiom,
% 191.16/191.43 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__Id,axiom,
% 191.16/191.43 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trancl__id,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__trancl,axiom,
% 191.16/191.43 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__Id__on,axiom,
% 191.16/191.43 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lexord__transI,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__converse,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.16/191.43 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bex__empty,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] :
% 191.16/191.43 ~ ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_listrel__trans,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_finite__Collect__bex,axiom,
% 191.16/191.43 ! [V_Qa_2,T_c,V_A_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.16/191.43 => ( 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)))))
% 191.16/191.43 <=> ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.16/191.43 => 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)))) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bex__UNIV,axiom,
% 191.16/191.43 ! [V_Pa_2,T_b] :
% 191.16/191.43 ( ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_SUPR__bool__eq,axiom,
% 191.16/191.43 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Union__eq,axiom,
% 191.16/191.43 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__inv__image,axiom,
% 191.16/191.43 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_list__ex__iff__raw,axiom,
% 191.16/191.43 ! [V_xs_2,V_Pa_2,T_b] :
% 191.16/191.43 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 191.16/191.43 <=> ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Bex__set__list__ex,axiom,
% 191.16/191.43 ! [V_Pa_2,V_xs_2,T_b] :
% 191.16/191.43 ( ? [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 191.16/191.43 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.16/191.43 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_INT__eq,axiom,
% 191.16/191.43 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Sup__apply,axiom,
% 191.16/191.43 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.16/191.43 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.43 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Sup__fun__def,axiom,
% 191.16/191.43 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.16/191.43 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.43 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Inf__apply,axiom,
% 191.16/191.43 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.16/191.43 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.43 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_Inf__fun__def,axiom,
% 191.16/191.43 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.16/191.43 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.16/191.43 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_max__extp_Ointros,axiom,
% 191.16/191.43 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 191.16/191.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 191.16/191.43 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 191.16/191.43 => ? [B_xa] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 191.16/191.43 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 191.16/191.43 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_transp__def,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Predicate_Otransp(T_b,V_r_2)
% 191.16/191.43 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_transpE,axiom,
% 191.16/191.43 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Predicate_Otransp(T_b,V_r_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_equivpE,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.16/191.43 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 191.16/191.43 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.16/191.43 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_equivpI,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Predicate_Oreflp(T_b,V_R_2)
% 191.16/191.43 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.16/191.43 => ( c_Predicate_Otransp(T_b,V_R_2)
% 191.16/191.43 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sympE,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Predicate_Osymp(T_b,V_r_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_equivp__reflp__symp__transp,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.16/191.43 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 191.16/191.43 & c_Predicate_Osymp(T_b,V_R_2)
% 191.16/191.43 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_max__extp_Osimps,axiom,
% 191.16/191.43 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 191.16/191.43 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 191.16/191.43 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 191.16/191.43 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 191.16/191.43 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.43 & ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 191.16/191.43 => ? [B_xa] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 191.16/191.43 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_trans__diff__Id,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => ( c_Relation_Oantisym(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisym__empty,axiom,
% 191.16/191.43 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisym__converse,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.16/191.43 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisym__Id,axiom,
% 191.16/191.43 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisym__Id__on,axiom,
% 191.16/191.43 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisym__subset,axiom,
% 191.16/191.43 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.16/191.43 => ( c_Relation_Oantisym(T_b,V_s_2)
% 191.16/191.43 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisym__def,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Oantisym(T_b,V_r_2)
% 191.16/191.43 <=> ! [B_x,B_y] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2))
% 191.16/191.43 => B_x = B_y ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisymD,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Oantisym(T_b,V_r_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2))
% 191.16/191.43 => V_a_2 = V_b_2 ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_antisym__reflcl,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Oantisym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b)))
% 191.16/191.43 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_fun__lub__def,axiom,
% 191.16/191.43 ! [V_x_2,V_A_2,V_L_2,T_d,T_b,T_c] : c_Partial__Function_Ofun__lub(T_c,T_b,T_d,V_L_2,V_A_2,V_x_2) = hAPP(V_L_2,hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(tc_fun(T_d,T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),T_c),hAPP(c_COMBS(tc_fun(T_d,T_c),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_d,T_c)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_d,T_c))),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_d,T_c),T_c),tc_fun(tc_fun(T_d,T_c),tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,tc_fun(T_d,T_c))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_d,T_c),T_d,T_c),c_COMBI(tc_fun(T_d,T_c))),V_x_2)))))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__trans__comp__subset,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2)),V_r_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__def,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 <=> ! [B_x,B_y] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_r_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_symD,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),V_r_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__Int__converse,axiom,
% 191.16/191.43 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__Un__converse,axiom,
% 191.16/191.43 ! [V_r_2,T_b] : c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__Int,axiom,
% 191.16/191.43 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => ( c_Relation_Osym(T_b,V_s_2)
% 191.16/191.43 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__rtrancl,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__Id,axiom,
% 191.16/191.43 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__Un,axiom,
% 191.16/191.43 ! [V_s_2,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => ( c_Relation_Osym(T_b,V_s_2)
% 191.16/191.43 => c_Relation_Osym(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__trancl,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__Id__on,axiom,
% 191.16/191.43 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__conv__converse__eq,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__converse,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 191.16/191.43 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_listrel__sym,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_sym__inv__image,axiom,
% 191.16/191.43 ! [V_f_2,T_c,V_r_2,T_b] :
% 191.16/191.43 ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_equivE,axiom,
% 191.16/191.43 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.43 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.43 => ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_equivI,axiom,
% 191.16/191.43 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.43 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.43 => ( c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 => ( c_Relation_Otrans(T_b,V_r_2)
% 191.16/191.43 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_equiv__def,axiom,
% 191.16/191.43 ! [V_r_2,V_A_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.16/191.43 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 191.16/191.43 & c_Relation_Osym(T_b,V_r_2)
% 191.16/191.43 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_symp__def,axiom,
% 191.16/191.43 ! [V_r_2,T_b] :
% 191.16/191.43 ( c_Predicate_Osymp(T_b,V_r_2)
% 191.16/191.43 <=> c_Relation_Osym(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_part__equivpI,axiom,
% 191.16/191.43 ! [T_b,V_R_2] :
% 191.16/191.43 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.16/191.43 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.16/191.43 => ( c_Predicate_Otransp(T_b,V_R_2)
% 191.16/191.43 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_part__equivp__refl__symp__transp,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.16/191.43 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.16/191.43 & c_Predicate_Osymp(T_b,V_R_2)
% 191.16/191.43 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_equivp__implies__part__equivp,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.16/191.43 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_part__equivp__transp,axiom,
% 191.16/191.43 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_part__equivp__symp,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.16/191.43 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_part__equivp__def,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.16/191.43 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.16/191.43 & ! [B_x,B_y] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 191.16/191.43 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.16/191.43 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 191.16/191.43 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_part__equivpE,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.16/191.43 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 191.16/191.43 => ( c_Predicate_Osymp(T_b,V_R_2)
% 191.16/191.43 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_part__equivp__typedef,axiom,
% 191.16/191.43 ! [V_R_2,T_b] :
% 191.16/191.43 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 191.16/191.43 => ? [B_d] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBS(T_b,T_b,tc_HOL_Obool),V_R_2),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b)),c_fequal)),V_R_2))))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inj__iff,axiom,
% 191.16/191.43 ! [V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__o__cancel,axiom,
% 191.16/191.43 ! [V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => hAPP(c_Fun_Ocomp(T_c,T_b,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),V_f_2) = c_Fun_Oid(T_b) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inj__imp__surj__inv,axiom,
% 191.16/191.43 ! [V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_image__inv__f__f,axiom,
% 191.16/191.43 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__image__comp,axiom,
% 191.16/191.43 ! [V_X_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_X_2)) = V_X_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_surj__imp__inj__inv,axiom,
% 191.16/191.43 ! [V_f_2,T_b,T_c] :
% 191.16/191.43 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.43 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__id,axiom,
% 191.16/191.43 ! [T_b] : c_Hilbert__Choice_Oinv__into(T_b,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Fun_Oid(T_b)) = c_Fun_Oid(T_b) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__def,axiom,
% 191.16/191.43 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__def,axiom,
% 191.16/191.43 ! [V_y_2,V_f_2,T_c,T_b] : hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = c_Hilbert__Choice_OEps(T_b,hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_y_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__f__f,axiom,
% 191.16/191.43 ! [V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__f__eq,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.16/191.43 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),V_y_2) = V_x_2 ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__f__f,axiom,
% 191.16/191.43 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.43 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__f__eq,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.16/191.43 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.16/191.43 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__injective,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 191.16/191.43 ( hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.16/191.43 => V_x_2 = V_y_2 ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__into,axiom,
% 191.16/191.43 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_x_2)),V_A_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_f__inv__into__f,axiom,
% 191.16/191.43 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.16/191.43 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_y_2)) = V_y_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_image__surj__f__inv__f,axiom,
% 191.16/191.43 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.16/191.43 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.43 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)),V_A_2)) = V_A_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_surj__f__inv__f,axiom,
% 191.16/191.43 ! [V_y_2,V_f_2,T_b,T_c] :
% 191.16/191.43 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.43 => hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),V_y_2)) = V_y_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_surj__iff__all,axiom,
% 191.16/191.43 ! [V_f_2,T_b,T_c] :
% 191.16/191.43 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.43 <=> ! [B_x] : hAPP(V_f_2,hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2),B_x)) = B_x ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_image__inv__into__cancel,axiom,
% 191.16/191.43 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 191.16/191.43 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 191.16/191.43 => hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2)),V_B_H_2)) = V_B_H_2 ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inj__on__inv__into,axiom,
% 191.16/191.43 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.16/191.43 => c_Fun_Oinj__on(T_b,T_c,c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_2,V_f_2),V_B_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__image__cancel,axiom,
% 191.16/191.43 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 191.16/191.43 => hAPP(c_Set_Oimage(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = V_S_2 ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_o__inv__o__cancel,axiom,
% 191.16/191.43 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => hAPP(c_Fun_Ocomp(T_c,T_d,T_b,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))),V_f_2) = V_g_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__comp,axiom,
% 191.16/191.43 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))
% 191.16/191.43 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2))))
% 191.16/191.43 => hAPP(c_Hilbert__Choice_Oinv__into(T_d,T_c,V_A_2,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,V_A_2,V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,hAPP(c_Set_Oimage(T_d,T_b,V_g_2),V_A_2),V_f_2)),V_x_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_surj__iff,axiom,
% 191.16/191.43 ! [V_f_2,T_b,T_c] :
% 191.16/191.43 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.16/191.43 <=> hAPP(c_Fun_Ocomp(T_c,T_b,T_b,V_f_2),c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),V_f_2)) = c_Fun_Oid(T_b) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inj__transfer,axiom,
% 191.16/191.43 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => ( ! [B_y] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),B_y))) )
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_fold__image__UN__disjoint,axiom,
% 191.16/191.43 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 191.16/191.43 ( class_Groups_Ocomm__monoid__mult(T_d)
% 191.16/191.43 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 191.16/191.43 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 191.16/191.43 => ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 191.16/191.43 => ! [B_xa] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 191.16/191.43 => ( B_x != B_xa
% 191.16/191.43 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,B_x)),hAPP(V_A_2,B_xa)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) )
% 191.16/191.43 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_b,c_Groups_Otimes__class_Otimes(T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),T_d,T_b),hAPP(hAPP(c_Finite__Set_Ofold__image(T_d,T_c,c_Groups_Otimes__class_Otimes(T_d)),V_g_2),c_Groups_Oone__class_Oone(T_d))),V_A_2)),c_Groups_Oone__class_Oone(T_d)),V_I_2) ) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_nat__of__induct,axiom,
% 191.16/191.43 ! [V_Pa_2,V_y_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.16/191.43 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_nat__of__cases,axiom,
% 191.16/191.43 ! [V_y_2] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.16/191.43 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_of__nat__induct,axiom,
% 191.16/191.43 ! [V_x_2,V_Pa_2] :
% 191.16/191.43 ( ! [B_y] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 191.16/191.43 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_of__nat__cases,axiom,
% 191.16/191.43 ! [V_x_2] :
% 191.16/191.43 ~ ! [B_y] :
% 191.16/191.43 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 191.16/191.43 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 191.16/191.43 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 191.16/191.43
% 191.16/191.43 fof(fact_beyond__def,axiom,
% 191.16/191.43 ! [V_l,V_k] :
% 191.16/191.43 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.16/191.43 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 191.16/191.43 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 191.16/191.43 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_beyond__zero,axiom,
% 191.16/191.43 ! [V_k] : c_Quickcheck_Obeyond(V_k,c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 191.16/191.43 ! [V_lazy__sequence_2,V_a_2,V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OInsert(T_c,V_a_2,V_lazy__sequence_2)) = hAPP(hAPP(hAPP(V_f2_2,V_a_2),V_lazy__sequence_2),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(T_b,T_c,V_f1_2,V_f2_2,V_lazy__sequence_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__image__Collect__eq,axiom,
% 191.16/191.43 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.16/191.43 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_2),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_curry__def,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_c_2),V_x_2),V_y_2) = hAPP(V_c_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_curryI,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 191.16/191.43 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 191.16/191.43 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__betw__id,axiom,
% 191.16/191.43 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__betw__inv__into,axiom,
% 191.16/191.43 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.16/191.43 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_B_2,V_A_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__into__inv__into__eq,axiom,
% 191.16/191.43 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.16/191.43 => hAPP(c_Hilbert__Choice_Oinv__into(T_c,T_b,V_A_H_2,c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2)),V_a_2) = hAPP(V_f_2,V_a_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_inv__inv__eq,axiom,
% 191.16/191.43 ! [V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.16/191.43 => c_Hilbert__Choice_Oinv__into(T_c,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) = V_f_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__imp__bij__inv,axiom,
% 191.16/191.43 ! [V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.16/191.43 => c_Fun_Obij__betw(T_c,T_b,c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_o__inv__distrib,axiom,
% 191.16/191.43 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.16/191.43 => ( c_Fun_Obij__betw(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.16/191.43 => c_Hilbert__Choice_Oinv__into(T_d,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2)) = hAPP(c_Fun_Ocomp(T_b,T_d,T_c,c_Hilbert__Choice_Oinv__into(T_d,T_b,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)),V_g_2)),c_Hilbert__Choice_Oinv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2)) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__betw__comp__iff2,axiom,
% 191.16/191.43 ! [V_A_2,V_f_2,T_d,V_A_H_H_2,V_A_H_2,V_f_H_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 191.16/191.43 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_b,V_f_2),V_A_2)),V_A_H_2))
% 191.16/191.43 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 191.16/191.43 <=> c_Fun_Obij__betw(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__betw__trans,axiom,
% 191.16/191.43 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 191.16/191.43 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 191.16/191.43 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2,V_C_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__betw__comp__iff,axiom,
% 191.16/191.43 ! [V_A_H_H_2,V_f_H_2,T_d,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 191.16/191.43 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 191.16/191.43 <=> c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2,V_A_H_H_2) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_bij__comp,axiom,
% 191.16/191.43 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.16/191.43 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 191.16/191.43 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 191.16/191.43 => c_Fun_Obij__betw(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_curryE,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 191.16/191.43 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_curryD,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 191.16/191.43 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_curry__conv,axiom,
% 191.16/191.43 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ocurry(T_c,T_d,T_b,V_f_2),V_a_2),V_b_2) = hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) ).
% 191.16/191.43
% 191.16/191.43 fof(fact_curry__split,axiom,
% 191.16/191.43 ! [V_f_2,T_d,T_c,T_b] : c_Product__Type_Ocurry(T_b,T_c,T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)) = V_f_2 ).
% 191.16/191.43
% 191.16/191.43 %----Arity declarations (218)
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 191.16/191.43 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Obounded__lattice(T_1)
% 191.16/191.43 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 191.16/191.43 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Obounded__lattice(T_1)
% 191.16/191.43 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Obounded__lattice(T_1)
% 191.16/191.43 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Olattice(T_1)
% 191.16/191.43 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Olattice(T_1)
% 191.16/191.43 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Odistrib__lattice(T_1)
% 191.16/191.43 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Oboolean__algebra(T_1)
% 191.16/191.43 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Orderings_Opreorder,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Orderings_Opreorder(T_1)
% 191.16/191.43 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 191.16/191.43 ! [T_1,T_2] :
% 191.16/191.43 ( ( class_Finite__Set_Ofinite(T_2)
% 191.16/191.43 & class_Finite__Set_Ofinite(T_1) )
% 191.16/191.43 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Lattices_Olattice,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Lattices_Olattice(T_1)
% 191.16/191.43 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Orderings_Oorder,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Orderings_Oorder(T_1)
% 191.16/191.43 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Orderings_Otop,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Orderings_Otop(T_1)
% 191.16/191.43 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Orderings_Oord,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Orderings_Oord(T_1)
% 191.16/191.43 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Orderings_Obot,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Orderings_Obot(T_1)
% 191.16/191.43 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Groups_Ouminus,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Groups_Ouminus(T_1)
% 191.16/191.43 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Groups_Ominus,axiom,
% 191.16/191.43 ! [T_2,T_1] :
% 191.16/191.43 ( class_Groups_Ominus(T_1)
% 191.16/191.43 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_fun__Enum_Oenum,axiom,
% 191.16/191.43 ! [T_1,T_2] :
% 191.16/191.43 ( ( class_Enum_Oenum(T_2)
% 191.16/191.43 & class_Enum_Oenum(T_1) )
% 191.16/191.43 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 191.16/191.43 class_Nat_Osize(tc_Com_Ocom) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 191.16/191.43 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 191.16/191.43 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 191.16/191.43 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 191.16/191.43 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 191.16/191.43 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 191.16/191.43 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 191.16/191.43 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 191.16/191.43 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 191.16/191.43 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 191.16/191.43 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 191.16/191.43 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 191.16/191.43 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 191.16/191.43 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 191.16/191.43 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 191.16/191.43 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 191.16/191.43 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 191.16/191.43 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 191.16/191.43 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 191.16/191.43 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 191.16/191.43 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 191.16/191.43 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 191.16/191.43 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 191.16/191.43 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 191.16/191.43 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 191.16/191.43 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 191.16/191.43 class_Orderings_Opreorder(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 191.16/191.43 class_Orderings_Olinorder(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 191.16/191.43 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 191.16/191.43 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 191.16/191.43 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 191.16/191.43 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 191.16/191.43 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 191.16/191.43 class_Lattices_Olattice(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 191.16/191.43 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 191.16/191.43 class_Divides_Oring__div(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 191.16/191.43 class_Rings_Omult__zero(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 191.16/191.43 class_Orderings_Oorder(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 191.16/191.43 class_Int_Oring__char__0(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 191.16/191.43 class_Int_Onumber__ring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 191.16/191.43 class_Rings_Osemiring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 191.16/191.43 class_Orderings_Oord(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 191.16/191.43 class_Groups_Ouminus(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 191.16/191.43 class_Groups_Osgn__if(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 191.16/191.43 class_Groups_Oabs__if(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 191.16/191.43 class_Rings_Oring__1(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 191.16/191.43 class_Groups_Ominus(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Power_Opower,axiom,
% 191.16/191.43 class_Power_Opower(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 191.16/191.43 class_Groups_Ozero(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oring,axiom,
% 191.16/191.43 class_Rings_Oring(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 191.16/191.43 class_Rings_Oidom(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Int_Onumber,axiom,
% 191.16/191.43 class_Int_Onumber(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Int__Oint__Groups_Oone,axiom,
% 191.16/191.43 class_Groups_Oone(tc_Int_Oint) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 191.16/191.43 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 191.16/191.43 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 191.16/191.43 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 191.16/191.43 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 191.16/191.43 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 191.16/191.43 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 191.16/191.43 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 191.16/191.43 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 191.16/191.43 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 191.16/191.43 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 191.16/191.43 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 191.16/191.43 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 191.16/191.43 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 191.16/191.43 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 191.16/191.43 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 191.16/191.43 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 191.16/191.43 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 191.16/191.43 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 191.16/191.43 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 191.16/191.43 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 191.16/191.43 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 191.16/191.43 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 191.16/191.43 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 191.16/191.43 class_Lattices_Olattice(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 191.16/191.43 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 191.16/191.43 class_Orderings_Oorder(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 191.16/191.43 class_Rings_Osemiring(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 191.16/191.43 class_Orderings_Oord(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 191.16/191.43 class_Orderings_Obot(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 191.16/191.43 class_Groups_Ominus(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Power_Opower,axiom,
% 191.16/191.43 class_Power_Opower(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 191.16/191.43 class_Groups_Ozero(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 191.16/191.43 class_Int_Onumber(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 191.16/191.43 class_Groups_Oone(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 191.16/191.43 class_Nat_Osize(tc_Nat_Onat) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 191.16/191.43 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 191.16/191.43 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 191.16/191.43 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 191.16/191.43 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 191.16/191.43 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 191.16/191.43 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 191.16/191.43 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 191.16/191.43 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 191.16/191.43 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 191.16/191.43 class_Lattices_Olattice(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 191.16/191.43 class_Orderings_Oorder(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 191.16/191.43 class_Orderings_Otop(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 191.16/191.43 class_Orderings_Oord(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 191.16/191.43 class_Orderings_Obot(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 191.16/191.43 class_Groups_Ouminus(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 191.16/191.43 class_Groups_Ominus(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 191.16/191.43 class_Enum_Oenum(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 191.16/191.43 class_Nat_Osize(tc_HOL_Obool) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 191.16/191.43 class_Nat_Osize(tc_Com_Ostate) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 191.16/191.43 ! [T_1] :
% 191.16/191.43 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 191.16/191.43 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_List__Olist__Nat_Osize,axiom,
% 191.16/191.43 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 191.16/191.43 ! [T_1,T_2] :
% 191.16/191.43 ( ( class_Finite__Set_Ofinite(T_2)
% 191.16/191.43 & class_Finite__Set_Ofinite(T_1) )
% 191.16/191.43 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_sum__Enum_Oenum,axiom,
% 191.16/191.43 ! [T_1,T_2] :
% 191.16/191.43 ( ( class_Enum_Oenum(T_2)
% 191.16/191.43 & class_Enum_Oenum(T_1) )
% 191.16/191.43 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_sum__Nat_Osize,axiom,
% 191.16/191.43 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 191.16/191.43 ! [T_1] :
% 191.16/191.43 ( class_Finite__Set_Ofinite(T_1)
% 191.16/191.43 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 191.16/191.43 ! [T_1] :
% 191.16/191.43 ( class_Enum_Oenum(T_1)
% 191.16/191.43 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 191.16/191.43 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 191.16/191.43 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 191.16/191.43 ! [T_1,T_2] :
% 191.16/191.43 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 191.16/191.43 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 191.16/191.43 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 191.16/191.43 ! [T_1,T_2] :
% 191.16/191.43 ( ( class_Finite__Set_Ofinite(T_2)
% 191.16/191.43 & class_Finite__Set_Ofinite(T_1) )
% 191.16/191.43 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_prod__Enum_Oenum,axiom,
% 191.16/191.43 ! [T_1,T_2] :
% 191.16/191.43 ( ( class_Enum_Oenum(T_2)
% 191.16/191.43 & class_Enum_Oenum(T_1) )
% 191.16/191.43 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_prod__Nat_Osize,axiom,
% 191.16/191.43 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 191.16/191.43 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 191.16/191.43 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 191.16/191.43 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 191.16/191.43 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 191.16/191.43 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 191.16/191.43 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 191.16/191.43 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 191.16/191.43 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 191.16/191.43 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 191.16/191.43 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 191.16/191.43 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 191.16/191.43 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 191.16/191.43 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 191.16/191.43 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 191.16/191.43 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 191.16/191.43 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 191.16/191.43 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 191.16/191.43 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 191.16/191.43 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 191.16/191.43 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 191.16/191.43 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 191.16/191.43 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 191.16/191.43 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 191.16/191.43 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 191.16/191.43 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 191.16/191.43 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 191.16/191.43 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 191.16/191.43 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 191.16/191.43 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 191.16/191.43 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 191.16/191.43 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 191.16/191.43 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 191.16/191.43 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 191.16/191.43 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 191.16/191.43 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 191.16/191.43 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 191.16/191.43 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 191.16/191.43
% 191.16/191.43 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 191.16/191.43 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 191.16/191.43
% 191.16/191.43 %----Helper facts (20)
% 191.16/191.43 fof(help_c__COMBI__1,axiom,
% 191.16/191.43 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__COMBK__1,axiom,
% 191.16/191.43 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__COMBB__1,axiom,
% 191.16/191.43 ! [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)) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__COMBC__1,axiom,
% 191.16/191.43 ! [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) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__COMBS__1,axiom,
% 191.16/191.43 ! [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)) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fequal__1,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2] :
% 191.16/191.43 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 191.16/191.43 | V_x_2 = V_y_2 ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fequal__2,axiom,
% 191.16/191.43 ! [V_y_2,V_x_2] :
% 191.16/191.43 ( V_x_2 != V_y_2
% 191.16/191.43 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fFalse__1,axiom,
% 191.16/191.43 ~ hBOOL(c_fFalse) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fTrue__1,axiom,
% 191.16/191.43 hBOOL(c_fTrue) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fNot__1,axiom,
% 191.16/191.43 ! [V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 191.16/191.43 | ~ hBOOL(V_Pa_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fNot__2,axiom,
% 191.16/191.43 ! [V_Pa_2] :
% 191.16/191.43 ( ~ ~ hBOOL(V_Pa_2)
% 191.16/191.43 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fconj__1,axiom,
% 191.16/191.43 ! [V_Qa_2,V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(V_Pa_2)
% 191.16/191.43 | ~ hBOOL(V_Qa_2)
% 191.16/191.43 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fconj__2,axiom,
% 191.16/191.43 ! [V_Qa_2,V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 191.16/191.43 | hBOOL(V_Pa_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fconj__3,axiom,
% 191.16/191.43 ! [V_Qa_2,V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 191.16/191.43 | hBOOL(V_Qa_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fdisj__1,axiom,
% 191.16/191.43 ! [V_Qa_2,V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(V_Pa_2)
% 191.16/191.43 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fdisj__2,axiom,
% 191.16/191.43 ! [V_Pa_2,V_Qa_2] :
% 191.16/191.43 ( ~ hBOOL(V_Qa_2)
% 191.16/191.43 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fdisj__3,axiom,
% 191.16/191.43 ! [V_Qa_2,V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 191.16/191.43 | hBOOL(V_Pa_2)
% 191.16/191.43 | hBOOL(V_Qa_2) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fimplies__1,axiom,
% 191.16/191.43 ! [V_Qa_2,V_Pa_2] :
% 191.16/191.43 ( hBOOL(V_Pa_2)
% 191.16/191.43 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fimplies__2,axiom,
% 191.16/191.43 ! [V_Pa_2,V_Qa_2] :
% 191.16/191.43 ( ~ hBOOL(V_Qa_2)
% 191.16/191.43 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 191.16/191.43
% 191.16/191.43 fof(help_c__fimplies__3,axiom,
% 191.16/191.43 ! [V_Qa_2,V_Pa_2] :
% 191.16/191.43 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 191.16/191.43 | ~ hBOOL(V_Pa_2)
% 191.16/191.43 | hBOOL(V_Qa_2) ) ).
% 191.16/191.43
% 191.16/191.43 %----Conjectures (5)
% 191.16/191.43 fof(conj_0,hypothesis,
% 191.16/191.43 ! [B_n] :
% 191.16/191.43 ( ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBS(tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),c_Hoare__Mirabelle_Otriple_Otriple(t_a)),v_P)),c_Com_Ocom_OBODY)),v_Q)),v_Procs))))
% 191.16/191.43 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
% 191.16/191.43 => ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_Procs))
% 191.16/191.43 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,B_x)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,B_x))),hAPP(v_Q,B_x))) ) ) ).
% 191.16/191.43
% 191.16/191.43 fof(conj_1,hypothesis,
% 191.16/191.43 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)) ).
% 191.16/191.43
% 191.16/191.43 fof(conj_2,hypothesis,
% 191.16/191.43 ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 191.16/191.43 => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,B_x) ) ).
% 191.16/191.43
% 191.16/191.43 fof(conj_3,hypothesis,
% 191.16/191.43 ! [B_x] :
% 191.16/191.43 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_Procs))
% 191.16/191.43 => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,B_x)),hAPP(c_Com_Ocom_OBODY,B_x)),hAPP(v_Q,B_x))) ) ).
% 191.16/191.43
% 191.16/191.43 fof(conj_4,conjecture,
% 191.16/191.43 c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),hAPP(v_Q,v_x))) ).
% 191.16/191.43
% 191.16/191.43 %------------------------------------------------------------------------------
% 191.16/191.43 %-------------------------------------------
% 191.16/191.43 % Proof found
% 191.16/191.43 % SZS status Theorem for theBenchmark
% 191.16/191.43 % SZS output start Proof
% 191.25/191.44 %ClaNum:10379(EqnAxiom:3026)
% 191.25/191.44 %VarNum:70889(SingletonVarNum:20537)
% 191.25/191.44 %MaxLitNum:8
% 191.25/191.44 %MaxfuncDepth:13
% 191.25/191.44 %SharedTerms:1034
% 191.25/191.44 %goalClause: 4665
% 191.25/191.44 %singleGoalClaCount:1
% 191.25/191.44 [3030]P1(a190)
% 191.25/191.44 [3031]P2(a903)
% 191.25/191.44 [3032]P2(a908)
% 191.25/191.44 [3033]P2(a1)
% 191.25/191.44 [3034]P103(a903)
% 191.25/191.44 [3035]P103(a908)
% 191.25/191.44 [3036]P103(a1)
% 191.25/191.44 [3037]P3(a903)
% 191.25/191.44 [3038]P105(a903)
% 191.25/191.44 [3039]P105(a908)
% 191.25/191.44 [3040]P109(a908)
% 191.25/191.44 [3041]P109(a1)
% 191.25/191.44 [3042]P109(a104)
% 191.25/191.44 [3043]P110(a908)
% 191.25/191.44 [3044]P4(a908)
% 191.25/191.44 [3045]P4(a1)
% 191.25/191.44 [3046]P4(a104)
% 191.25/191.44 [3047]P116(a908)
% 191.25/191.44 [3048]P116(a1)
% 191.25/191.44 [3049]P116(a104)
% 191.25/191.44 [3050]P5(a908)
% 191.25/191.44 [3051]P5(a1)
% 191.25/191.44 [3052]P5(a104)
% 191.25/191.44 [3053]P78(a1)
% 191.25/191.44 [3054]P146(a908)
% 191.25/191.44 [3055]P146(a1)
% 191.25/191.44 [3056]P83(a908)
% 191.25/191.44 [3057]P83(a1)
% 191.25/191.44 [3058]P83(a104)
% 191.25/191.44 [3059]P6(a908)
% 191.25/191.44 [3060]P6(a1)
% 191.25/191.44 [3061]P6(a104)
% 191.25/191.44 [3062]P7(a908)
% 191.25/191.44 [3063]P7(a1)
% 191.25/191.44 [3064]P7(a104)
% 191.25/191.44 [3065]P8(a908)
% 191.25/191.44 [3066]P8(a1)
% 191.25/191.44 [3067]P8(a104)
% 191.25/191.44 [3068]P95(a1)
% 191.25/191.44 [3069]P111(a903)
% 191.25/191.44 [3070]P111(a908)
% 191.25/191.44 [3071]P111(a1)
% 191.25/191.44 [3072]P111(a104)
% 191.25/191.44 [3073]P112(a908)
% 191.25/191.44 [3074]P112(a1)
% 191.25/191.44 [3075]P112(a104)
% 191.25/191.44 [3076]P113(a903)
% 191.25/191.44 [3077]P113(a908)
% 191.25/191.44 [3078]P113(a1)
% 191.25/191.44 [3079]P113(a104)
% 191.25/191.44 [3080]P114(a903)
% 191.25/191.44 [3081]P114(a908)
% 191.25/191.44 [3082]P114(a1)
% 191.25/191.44 [3083]P114(a104)
% 191.25/191.44 [3084]P84(a908)
% 191.25/191.44 [3085]P84(a1)
% 191.25/191.44 [3086]P84(a104)
% 191.25/191.44 [3087]P85(a908)
% 191.25/191.44 [3088]P85(a1)
% 191.25/191.44 [3089]P85(a104)
% 191.25/191.44 [3090]P90(a908)
% 191.25/191.44 [3091]P90(a1)
% 191.25/191.44 [3092]P90(a104)
% 191.25/191.44 [3093]P120(a1)
% 191.25/191.44 [3094]P9(a903)
% 191.25/191.44 [3095]P9(a911)
% 191.25/191.44 [3096]P81(a903)
% 191.25/191.44 [3097]P81(a908)
% 191.25/191.44 [3098]P81(a1)
% 191.25/191.44 [3099]P81(a104)
% 191.25/191.44 [3100]P75(a1)
% 191.25/191.44 [3101]P86(a1)
% 191.25/191.44 [3102]P79(a1)
% 191.25/191.44 [3103]P104(a903)
% 191.25/191.44 [3104]P104(a908)
% 191.25/191.44 [3105]P104(a1)
% 191.25/191.44 [3106]P101(a903)
% 191.25/191.44 [3107]P101(a908)
% 191.25/191.44 [3108]P101(a1)
% 191.25/191.44 [3109]P91(a908)
% 191.25/191.44 [3110]P91(a1)
% 191.25/191.44 [3111]P91(a104)
% 191.25/191.44 [3112]P121(a1)
% 191.25/191.44 [3113]P127(a908)
% 191.25/191.44 [3114]P127(a1)
% 191.25/191.44 [3115]P127(a104)
% 191.25/191.44 [3116]P147(a908)
% 191.25/191.44 [3117]P147(a1)
% 191.25/191.44 [3118]P147(a104)
% 191.25/191.44 [3119]P87(a908)
% 191.25/191.44 [3120]P87(a1)
% 191.25/191.44 [3121]P87(a104)
% 191.25/191.44 [3122]P80(a908)
% 191.25/191.44 [3123]P80(a1)
% 191.25/191.44 [3124]P80(a104)
% 191.25/191.44 [3125]P76(a908)
% 191.25/191.44 [3126]P76(a1)
% 191.25/191.44 [3127]P76(a104)
% 191.25/191.44 [3128]P96(a908)
% 191.25/191.44 [3129]P96(a1)
% 191.25/191.44 [3130]P96(a104)
% 191.25/191.44 [3131]P130(a1)
% 191.25/191.44 [3132]P97(a1)
% 191.25/191.44 [3133]P142(a908)
% 191.25/191.44 [3134]P142(a1)
% 191.25/191.44 [3135]P142(a104)
% 191.25/191.44 [3136]P131(a908)
% 191.25/191.44 [3137]P131(a1)
% 191.25/191.44 [3138]P131(a104)
% 191.25/191.44 [3139]P143(a1)
% 191.25/191.44 [3140]P132(a908)
% 191.25/191.44 [3141]P132(a1)
% 191.25/191.44 [3142]P132(a104)
% 191.25/191.44 [3143]P117(a908)
% 191.25/191.44 [3144]P117(a1)
% 191.25/191.44 [3145]P117(a104)
% 191.25/191.44 [3146]P88(a908)
% 191.25/191.44 [3147]P88(a1)
% 191.25/191.44 [3148]P88(a104)
% 191.25/191.44 [3149]P10(a903)
% 191.25/191.44 [3150]P128(a1)
% 191.25/191.44 [3151]P129(a1)
% 191.25/191.44 [3152]P137(a908)
% 191.25/191.44 [3153]P137(a1)
% 191.25/191.44 [3154]P137(a104)
% 191.25/191.44 [3155]P138(a1)
% 191.25/191.44 [3156]P140(a908)
% 191.25/191.44 [3157]P140(a1)
% 191.25/191.44 [3158]P140(a104)
% 191.25/191.44 [3159]P139(a908)
% 191.25/191.44 [3160]P139(a1)
% 191.25/191.44 [3161]P139(a104)
% 191.25/191.44 [3162]P133(a908)
% 191.25/191.44 [3163]P133(a1)
% 191.25/191.44 [3164]P133(a104)
% 191.25/191.44 [3165]P122(a908)
% 191.25/191.44 [3166]P122(a1)
% 191.25/191.44 [3167]P122(a104)
% 191.25/191.44 [3168]P134(a908)
% 191.25/191.44 [3169]P134(a1)
% 191.25/191.44 [3170]P134(a104)
% 191.25/191.44 [3171]P135(a1)
% 191.25/191.44 [3172]P136(a1)
% 191.25/191.44 [3173]P144(a1)
% 191.25/191.44 [3174]P118(a908)
% 191.25/191.44 [3175]P118(a1)
% 191.25/191.44 [3176]P118(a104)
% 191.25/191.44 [3177]P145(a908)
% 191.25/191.44 [3178]P145(a1)
% 191.25/191.44 [3179]P145(a104)
% 191.25/191.44 [3180]P68(a908)
% 191.25/191.44 [3181]P68(a1)
% 191.25/191.44 [3182]P68(a104)
% 191.25/191.44 [3183]P69(a1)
% 191.25/191.44 [3184]P98(a903)
% 191.25/191.44 [3185]P92(a903)
% 191.25/191.44 [3186]P92(a1)
% 191.25/191.44 [3187]P123(a1)
% 191.25/191.44 [3188]P119(a1)
% 191.25/191.44 [3189]P106(a908)
% 191.25/191.44 [3190]P106(a1)
% 191.25/191.44 [3191]P106(a104)
% 191.25/191.44 [3192]P93(a1)
% 191.25/191.44 [3193]P89(a1)
% 191.25/191.44 [3194]P141(a1)
% 191.25/191.44 [3195]P77(a1)
% 191.25/191.44 [3196]P115(a903)
% 191.25/191.44 [3197]P102(a903)
% 191.25/191.44 [3198]P82(a908)
% 191.25/191.44 [3199]P82(a1)
% 191.25/191.44 [3200]P82(a104)
% 191.25/191.44 [3201]P94(a908)
% 191.25/191.44 [3202]P94(a1)
% 191.25/191.44 [3203]P94(a104)
% 191.25/191.44 [3204]P70(a903)
% 191.25/191.44 [3205]P70(a911)
% 191.25/191.44 [3206]P108(a904)
% 191.25/191.44 [3207]P108(a903)
% 191.25/191.44 [3208]P108(a905)
% 191.25/191.44 [3209]P108(a908)
% 191.25/191.44 [3210]P108(a104)
% 191.25/191.44 [3211]P108(a911)
% 191.25/191.44 [3212]P108(a325)
% 191.25/191.44 [3213]P107(a1)
% 191.25/191.44 [3214]P107(a911)
% 191.25/191.44 [3215]P100(a903)
% 191.25/191.44 [3231]P43(a908,a245)
% 191.25/191.44 [3232]P43(a908,a319)
% 191.25/191.44 [3233]P44(a908,a245)
% 191.25/191.44 [3315]P46(a908,a908,a117)
% 191.25/191.44 [4573]~E(a102,a85)
% 191.25/191.44 [4574]~P1(a237)
% 191.25/191.44 [3027]E(f2(a1),a85)
% 191.25/191.44 [3028]E(f105(a104),a3)
% 191.25/191.44 [3029]E(f23(a104),a24)
% 191.25/191.44 [3216]E(f191(a908),f2(a908))
% 191.25/191.44 [3217]E(f30(a25),f2(a908))
% 191.25/191.44 [3218]E(f86(a237),f2(a908))
% 191.25/191.44 [3219]E(f86(a190),f2(a908))
% 191.25/191.44 [3220]E(f106(a908),f238(a908))
% 191.25/191.44 [3221]E(f115(a908),f239(a908))
% 191.25/191.44 [3222]E(f107(a1),f33(a1))
% 191.25/191.44 [3223]P11(f2(a1))
% 191.25/191.44 [3224]P11(f80(a1))
% 191.25/191.44 [3281]P43(f915(a908,a908),a34)
% 191.25/191.44 [3627]E(f321(a908,a908,a245,a245),a34)
% 191.25/191.44 [4575]~E(f80(a1),f2(a1))
% 191.25/191.44 [3225]E(f116(f2(a908)),f2(a908))
% 191.25/191.44 [3226]E(f4(f2(a104)),f2(a908))
% 191.25/191.44 [3235]E(f329(f81(a1),a85),a85)
% 191.25/191.44 [3239]E(f329(a3,f2(a908)),f2(a104))
% 191.25/191.44 [3240]E(f329(a117,f2(a908)),f80(a908))
% 191.25/191.44 [3241]E(f329(a109,f80(a1)),f80(a908))
% 191.25/191.44 [3242]E(f329(a3,f80(a908)),f80(a104))
% 191.25/191.44 [3244]E(f329(f108(a1),a85),f2(a1))
% 191.25/191.44 [3245]E(f329(f108(a104),a85),f2(a104))
% 191.25/191.44 [3246]E(f329(a109,f2(a1)),f2(a908))
% 191.25/191.44 [3247]E(f329(f192(a904),a25),f2(a908))
% 191.25/191.44 [3248]E(f329(f192(a903),a237),f2(a908))
% 191.25/191.44 [3249]E(f329(f192(a903),a190),f2(a908))
% 191.25/191.44 [3250]E(f329(f108(a908),a85),f2(a908))
% 191.25/191.44 [3256]E(f329(f81(a1),f80(a1)),a102)
% 191.25/191.44 [3264]E(f329(f192(a104),f2(a104)),f2(a908))
% 191.25/191.44 [3265]E(f329(f81(a1),f2(a1)),f2(a1))
% 191.25/191.44 [3266]E(f329(f105(a1),f2(a908)),f2(a1))
% 191.25/191.44 [3267]E(f329(f105(a1),f80(a908)),f80(a1))
% 191.25/191.44 [3278]E(f329(a109,f80(a1)),f329(a117,f2(a908)))
% 191.25/191.44 [3279]E(f320(f915(a908,a908),a34),a35)
% 191.25/191.44 [3280]E(f322(f915(a908,a908),a34),a70)
% 191.25/191.44 [3307]E(f329(f285(a908),f2(a908)),f191(f916(a908,a903)))
% 191.25/191.44 [3308]E(f329(f286(a908),f2(a908)),f247(f916(a908,a903)))
% 191.25/191.44 [3317]P47(f191(f916(a1,a903)))
% 191.25/191.44 [3351]E(f329(f329(f23(a104),f2(a104)),f80(a104)),f2(a104))
% 191.25/191.44 [3428]P1(f329(f329(f241(a1),a102),f2(a1)))
% 191.25/191.44 [3453]P1(f329(f329(f240(a1),f2(a1)),f80(a1)))
% 191.25/191.44 [3454]P1(f329(f329(f241(a1),f2(a1)),f80(a1)))
% 191.25/191.44 [3660]E(f329(f329(f291(a908,a908,a908),a319),f309(a908,a319)),a245)
% 191.25/191.44 [3698]P49(a1,a908,a109,f329(f240(a1),f2(a1)))
% 191.25/191.44 [3702]E(f329(f329(f40(a908,f916(a908,a903)),f247(f916(a908,a903))),f285(a908)),f247(f916(a908,a903)))
% 191.25/191.44 [3703]E(f329(f329(f40(a908,f916(a908,a903)),f247(f916(a908,a903))),f303(a908)),f247(f916(a908,a903)))
% 191.25/191.44 [3704]E(f329(f329(f40(a908,f916(a908,a903)),f247(f916(a908,a903))),f286(a908)),f247(f916(a908,a903)))
% 191.25/191.44 [3705]E(f329(f329(f41(a908,f916(a908,a903)),f247(f916(a908,a903))),f306(a908)),f191(f916(a908,a903)))
% 191.25/191.44 [3721]P30(a908,a1,f105(a1),f247(f916(a908,a903)))
% 191.25/191.44 [3735]P49(a908,a1,f105(a1),f329(f16(a903,a908),a190))
% 191.25/191.44 [3872]E(f329(f74(a908,a104,a1,a3),a109),f108(a104))
% 191.25/191.44 [4092]P64(a104,a908,a20,a3,f247(f916(a908,a903)))
% 191.25/191.44 [4099]P64(a1,f916(f915(a908,a908),a903),a112,a91,a103)
% 191.25/191.44 [4352]E(f263(a1,a1,a1,a1,f33(a1),f81(a1)),a52)
% 191.25/191.44 [4596]~E(f329(f108(a1),a102),f329(f108(a1),a85))
% 191.25/191.44 [4597]~P1(f329(a196,f2(a1)))
% 191.25/191.44 [4598]~P1(f329(a196,f80(a1)))
% 191.25/191.44 [4639]~P1(f329(f329(f241(a1),a85),f2(a1)))
% 191.25/191.44 [4665]~P33(a902,f329(a117,a921),f329(f329(f329(f93(a902),f329(a919,a917)),f329(a26,a917)),f329(a922,a917)))
% 191.25/191.44 [3300]E(f329(f329(f23(a1),a102),a102),a85)
% 191.25/191.44 [3314]E(f329(f105(a1),f329(a117,f2(a908))),f80(a1))
% 191.25/191.44 [3380]E(f329(f36(a911),f247(f916(a911,a903))),f80(a908))
% 191.25/191.44 [3400]P1(f329(a196,f329(f108(a1),a102)))
% 191.25/191.44 [3401]P1(f329(f329(f331(a906),a917),a918))
% 191.25/191.44 [3403]P1(f329(f329(f240(a1),a102),a85))
% 191.25/191.44 [3405]P1(f329(f329(f241(a1),a102),a85))
% 191.25/191.44 [3463]E(f329(f329(f311(a908),f2(a908)),f191(f916(a908,a903))),f329(f303(a908),f2(a908)))
% 191.25/191.44 [3518]P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),a85)))
% 191.25/191.44 [3530]E(f329(f312(a908,a908,a117),f247(f916(a908,a903))),f329(f306(a908),f2(a908)))
% 191.25/191.44 [3567]P13(f915(a908,a908),f247(f916(f915(a908,a908),a903)),a113)
% 191.25/191.44 [3879]E(f329(f74(a908,a1,a104,f105(a1)),a20),a22)
% 191.25/191.44 [3940]P43(a908,f329(f267(f915(a908,a908)),f329(f262(a908,a908,a903),f241(a908))))
% 191.25/191.44 [4630]~P1(f329(a196,f329(f108(a1),a85)))
% 191.25/191.44 [4631]~P1(f329(f329(f240(a1),a85),a102))
% 191.25/191.44 [4632]~P1(f329(f329(f241(a1),a85),a85))
% 191.25/191.44 [4633]~P1(f329(f329(f241(a1),a85),a102))
% 191.25/191.44 [4634]~P1(f329(f329(f241(a1),a102),a102))
% 191.25/191.44 [4645]~P1(f329(f62(a908),f247(f916(a908,a903))))
% 191.25/191.44 [4646]~P1(f329(f62(a1),f247(f916(a1,a903))))
% 191.25/191.44 [4518]E(f329(f262(a1,a1,a903),f329(f329(f8(f916(a1,a903),f916(a1,a903),a1),f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f241(a1),f2(a1))))),f329(f329(f7(a1,a1,f916(a1,a903)),f329(f329(f8(f916(a1,f916(a1,a903)),f916(a1,f916(a1,a903)),a1),f7(a1,a1,a903)),f329(f329(f8(f916(a1,a1),f916(a1,f916(a1,a903)),a1),f329(f8(a1,f916(a1,a903),a1),a326)),a221))),f80(a1)))),a217)
% 191.25/191.44 [3602]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f81(a1),a102))
% 191.25/191.44 [3642]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f329(f23(a1),a85),a102))
% 191.25/191.44 [3805]E(f329(f329(f61(f915(a908,a908)),f247(f916(f915(a908,a908),a903))),a113),a103)
% 191.25/191.44 [3834]E(f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a1))
% 191.25/191.44 [3835]E(f329(f108(a104),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a104))
% 191.25/191.44 [3836]E(f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a908))
% 191.25/191.44 [3840]E(f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(a117,f2(a908)))
% 191.25/191.44 [4220]E(f329(f329(f115(f916(f915(f915(a908,a908),f915(a908,a908)),a903)),a34),f309(f915(a908,a908),f191(f916(f915(f915(a908,a908),f915(a908,a908)),a903)))),a72)
% 191.25/191.44 [4286]E(f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),f2(a908)),f2(a908))),f191(f916(f915(a908,a908),a903))))),f2(a1))
% 191.25/191.44 [4287]E(f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),f80(a908)),f2(a908))),f191(f916(f915(a908,a908),a903))))),f80(a1))
% 191.25/191.44 [4300]E(f329(f267(f915(a908,a908)),f329(f262(a908,a908,a903),f329(f329(f8(a908,f916(a908,a903),a908),f329(f7(a908,a908,a903),a326)),a117))),a319)
% 191.25/191.44 [4272]E(f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),f329(a117,f329(a117,f2(a908))))
% 191.25/191.44 [4275]E(f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),f329(f329(f82(a908),f80(a908)),f80(a908)))
% 191.25/191.44 [4276]E(f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),f329(f36(a903),f247(f916(a903,a903))))
% 191.25/191.44 [4339]P11(f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))
% 191.25/191.44 [4408]P32(f916(f915(a908,a908),a903),f329(f329(f257(f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903),f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903)),a35),a71))
% 191.25/191.44 [4409]P32(f916(f915(a908,a908),a903),f329(f329(f257(f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903),f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903)),a70),a73))
% 191.25/191.44 [4449]E(f329(f329(f115(f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903)),f322(f915(a908,a908),a72)),f329(f329(f311(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),f191(f916(f915(a908,a908),a903))),f191(f916(f915(a908,a908),a903)))),f191(f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903)))),a73)
% 191.25/191.44 [4450]E(f329(f329(f115(f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903)),f320(f915(a908,a908),a72)),f329(f329(f311(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),f191(f916(f915(a908,a908),a903))),f191(f916(f915(a908,a908),a903)))),f191(f916(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a903)))),a71)
% 191.25/191.44 [4341]E(f329(a109,f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a117,f329(a117,f2(a908))))
% 191.25/191.44 [4386]E(f329(f105(a1),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))
% 191.25/191.44 [4419]P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.25/191.44 [4420]E(f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102)),f329(a117,f329(a117,f329(a117,f2(a908)))))
% 191.25/191.44 [4464]P11(f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102)))
% 191.25/191.44 [4490]E(f329(f105(a1),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102)))
% 191.25/191.44 [4503]P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))))
% 191.25/191.44 [3234]P12(x32341,a326)
% 191.25/191.44 [3628]P30(a908,a908,a117,x36281)
% 191.25/191.44 [3227]P108(f907(x32271))
% 191.25/191.44 [3228]P108(f912(x32281))
% 191.25/191.44 [3229]P108(f909(x32291))
% 191.25/191.44 [3230]P108(f910(x32301))
% 191.25/191.44 [3251]P43(a1,f110(x32511))
% 191.25/191.44 [3252]P43(a1,f111(x32521))
% 191.25/191.44 [3303]P43(f916(x33031,a903),f316(x33031))
% 191.25/191.44 [3304]P44(f916(x33041,a903),f316(x33041))
% 191.25/191.44 [3329]E(f248(x33291,x33291,a326),a326)
% 191.25/191.44 [3344]E(f46(a1,x33441,x33441),f2(a1))
% 191.25/191.44 [3397]P19(x33971,f916(x33971,a903),f311(x33971))
% 191.25/191.44 [4577]~E(f329(a26,x45771),a25)
% 191.25/191.44 [4579]~E(f329(a117,x45791),x45791)
% 191.25/191.44 [4589]~E(f329(a117,x45891),f2(a908))
% 191.25/191.44 [3236]E(f329(f192(a908),x32361),x32361)
% 191.25/191.44 [3237]E(f329(f108(a1),x32371),x32371)
% 191.25/191.44 [3253]E(f329(a91,f330(x32531)),x32531)
% 191.25/191.44 [3254]E(f329(a3,f563(x32541)),x32541)
% 191.25/191.44 [3255]E(f246(x32551,f2(a104)),f2(a104))
% 191.25/191.44 [3268]E(f119(x32681,f118(x32681)),f118(x32681))
% 191.25/191.44 [3269]E(f155(x32691,f118(x32691)),f118(x32691))
% 191.25/191.44 [3271]E(f30(f329(a26,x32711)),f2(a908))
% 191.25/191.44 [3275]E(f329(f170(x32751),f118(x32751)),f118(x32751))
% 191.25/191.44 [3276]E(f329(f174(x32761),f118(x32761)),f118(x32761))
% 191.25/191.44 [3277]E(f329(f171(x32771),f118(x32771)),f118(x32771))
% 191.25/191.44 [3282]E(f329(f108(a1),x32821),f329(f107(a1),x32821))
% 191.25/191.44 [3283]E(f329(a91,f329(a112,x32831)),x32831)
% 191.25/191.44 [3285]E(f329(a3,f329(a20,x32851)),x32851)
% 191.25/191.44 [3286]E(f329(a20,f329(a3,x32861)),x32861)
% 191.25/191.44 [3287]P11(f329(f105(a1),x32871))
% 191.25/191.44 [3296]E(f329(f192(f909(x32961)),f118(x32961)),f2(a908))
% 191.25/191.44 [3297]E(f329(f192(f910(x32971)),f124(x32971)),f2(a908))
% 191.25/191.44 [3302]E(f329(f192(a904),f329(a26,x33021)),f2(a908))
% 191.25/191.44 [3320]E(f329(f329(f82(a908),x33201),f2(a908)),x33201)
% 191.25/191.44 [3321]E(f329(f329(f82(a1),x33211),f2(a1)),x33211)
% 191.25/191.44 [3322]E(f329(f329(f23(a908),x33221),f2(a908)),x33221)
% 191.25/191.44 [3323]E(f329(f329(f83(a908),x33231),f80(a908)),x33231)
% 191.25/191.44 [3324]E(f329(f329(f83(a1),x33241),f80(a1)),x33241)
% 191.25/191.44 [3325]E(f329(f329(f239(a908),x33251),f2(a908)),x33251)
% 191.25/191.44 [3326]E(f329(f329(f83(a908),x33261),f2(a908)),f2(a908))
% 191.25/191.44 [3327]E(f329(f329(f37(a1),x33271),f2(a1)),f2(a1))
% 191.25/191.44 [3328]E(f329(f329(f238(a908),x33281),f2(a908)),f2(a908))
% 191.25/191.44 [3335]E(f329(f175(x33351),f118(x33351)),f191(f916(x33351,a903)))
% 191.25/191.44 [3339]P1(f329(f140(x33391),f118(x33391)))
% 191.25/191.44 [3345]E(f329(f157(x33451,x33451),f5(x33451)),f33(f909(x33451)))
% 191.25/191.44 [3346]E(f329(f157(x33461,x33461),f33(x33461)),f33(f909(x33461)))
% 191.25/191.44 [3347]E(f46(a1,x33471,f2(a1)),x33471)
% 191.25/191.44 [3348]E(f329(f240(a908),f329(a117,x33481)),f329(f241(a908),x33481))
% 191.25/191.44 [3349]E(f329(f285(a908),f329(a117,x33491)),f329(f303(a908),x33491))
% 191.25/191.44 [3350]E(f329(f286(a908),f329(a117,x33501)),f329(f306(a908),x33501))
% 191.25/191.44 [3352]E(f46(a1,f2(a1),x33521),f2(a1))
% 191.25/191.44 [3365]E(f329(f329(f82(a908),x33651),f80(a908)),f329(a117,x33651))
% 191.25/191.44 [3374]E(f329(f304(a908,x33741),f2(a908)),f191(f916(a908,a903)))
% 191.25/191.44 [3386]E(f305(a908,f2(a908),x33861),f329(f303(a908),x33861))
% 191.25/191.44 [3431]E(f329(f329(f23(a908),f329(a117,x34311)),f80(a908)),x34311)
% 191.25/191.44 [3443]E(f48(f2(a1),x34431),f329(f329(f257(a1,a1),f2(a1)),f2(a1)))
% 191.25/191.44 [3493]P1(f329(f329(f241(a908),x34931),f329(a117,x34931)))
% 191.25/191.44 [3505]P1(f329(f329(f241(a908),f2(a908)),f329(a117,x35051)))
% 191.25/191.44 [3734]E(f94(x37341,x37341,f247(f916(x37341,a903)),f33(x37341)),f33(x37341))
% 191.25/191.44 [3791]E(f329(f329(f23(a104),f329(a3,f329(a117,f329(a20,x37911)))),f80(a104)),x37911)
% 191.25/191.44 [3863]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),x38631))),f2(a1)))
% 191.25/191.44 [4008]P1(f329(f329(f241(a1),f329(f81(a1),f329(f105(a1),f329(a117,x40081)))),f2(a1)))
% 191.25/191.44 [4603]~E(f247(f916(x46031,a903)),f191(f916(x46031,a903)))
% 191.25/191.44 [4642]~P1(f329(f329(f241(a908),x46421),f2(a908)))
% 191.25/191.44 [4655]~P1(f329(f329(f241(a1),f329(f105(a1),x46551)),f2(a1)))
% 191.25/191.44 [3301]E(f182(x33011,f118(f909(x33011))),f118(f909(x33011)))
% 191.25/191.44 [3305]E(f329(f329(f83(a1),a85),x33051),a85)
% 191.25/191.44 [3306]E(f329(f329(f82(a1),a85),x33061),x33061)
% 191.25/191.44 [3309]E(f329(a109,f329(f105(a1),x33091)),x33091)
% 191.25/191.44 [3310]E(f329(f329(f82(a1),x33101),a85),x33101)
% 191.25/191.44 [3311]E(f329(f329(f23(a1),x33111),a85),x33111)
% 191.25/191.44 [3313]E(f329(f329(f23(a908),x33131),x33131),f2(a908))
% 191.25/191.44 [3318]E(f329(f36(a908),f329(f285(a908),x33181)),x33181)
% 191.25/191.44 [3319]E(f329(f81(a1),f329(f81(a1),x33191)),x33191)
% 191.25/191.44 [3330]E(f329(f329(f82(a908),f2(a908)),x33301),x33301)
% 191.25/191.44 [3331]E(f329(f329(f82(a1),f2(a1)),x33311),x33311)
% 191.25/191.44 [3332]E(f329(f329(f83(a908),f80(a908)),x33321),x33321)
% 191.25/191.44 [3333]E(f329(f329(f83(a1),f80(a1)),x33331),x33331)
% 191.25/191.44 [3334]E(f329(f329(f239(a908),f2(a908)),x33341),x33341)
% 191.25/191.44 [3340]E(f329(f329(f23(a908),f2(a908)),x33401),f2(a908))
% 191.25/191.44 [3341]E(f329(f329(f83(a908),f2(a908)),x33411),f2(a908))
% 191.25/191.44 [3342]E(f329(f329(f37(a1),f2(a1)),x33421),f2(a1))
% 191.25/191.44 [3343]E(f329(f329(f238(a908),f2(a908)),x33431),f2(a908))
% 191.25/191.44 [3353]E(f132(x33531,f329(f81(a1),x33531)),f135(a1,x33531))
% 191.25/191.44 [3358]E(f329(f304(a908,f2(a908)),x33581),f329(f285(a908),x33581))
% 191.25/191.44 [3359]E(f329(f329(f83(a1),a102),x33591),f329(f81(a1),x33591))
% 191.25/191.44 [3367]E(f329(a109,f329(f108(a1),x33671)),f329(f108(a908),x33671))
% 191.25/191.44 [3368]E(f329(a20,f329(f108(a104),x33681)),f329(f108(a908),x33681))
% 191.25/191.44 [3369]E(f329(f36(a908),f329(f303(a908),x33691)),f329(a117,x33691))
% 191.25/191.44 [3378]E(f329(f329(f82(a908),f80(a908)),x33781),f329(a117,x33781))
% 191.25/191.44 [3382]E(f329(f107(a1),f329(f105(a1),x33821)),f329(f105(a1),x33821))
% 191.25/191.44 [3383]E(f329(f77(a1),f329(f105(a1),x33831)),f329(f105(a1),x33831))
% 191.25/191.44 [3387]E(f329(f36(x33871),f191(f916(x33871,a903))),f2(a908))
% 191.25/191.44 [3389]E(f329(f329(f37(a908),x33891),f329(a117,f2(a908))),x33891)
% 191.25/191.44 [3398]E(f46(a908,x33981,f329(a117,f2(a908))),f2(a908))
% 191.25/191.44 [3399]E(f46(a1,x33991,f329(f108(a1),a102)),f2(a1))
% 191.25/191.44 [3414]E(f329(f329(f37(a1),x34141),f329(f108(a1),a102)),f329(f81(a1),x34141))
% 191.25/191.44 [3418]E(f142(a908,f329(f304(a908,x34181),f2(a908))),f118(a908))
% 191.25/191.44 [3419]E(f329(f329(f23(a1),x34191),f80(a1)),f329(f329(f82(a1),x34191),a102))
% 191.25/191.44 [3420]E(f329(f329(f82(a1),x34201),f80(a1)),f329(f329(f23(a1),x34201),a102))
% 191.25/191.44 [3425]P1(f329(f329(f197(a25),x34251),x34251))
% 191.25/191.44 [3426]P1(f329(f329(f240(a908),x34261),x34261))
% 191.25/191.44 [3427]P1(f329(f329(f240(a1),x34271),x34271))
% 191.25/191.44 [3432]E(f329(f81(a1),f329(f108(a1),x34321)),f329(f108(a1),f329(f81(a1),x34321)))
% 191.25/191.44 [3433]P1(f329(f62(a908),f329(f285(a908),x34331)))
% 191.25/191.44 [3434]P1(f329(f62(a908),f329(f303(a908),x34341)))
% 191.25/191.44 [3441]E(f164(x34411,f247(f916(x34411,a903))),f247(f916(f909(x34411),a903)))
% 191.25/191.44 [3446]P1(f329(f329(f240(a908),f2(a908)),x34461))
% 191.25/191.44 [3456]E(f329(f329(f82(a908),f116(x34561)),f329(a117,f2(a908))),f116(f329(a117,x34561)))
% 191.25/191.44 [3457]E(f329(f267(x34571),f329(f16(a903,x34571),a237)),f191(f916(x34571,a903)))
% 191.25/191.44 [3458]E(f329(f267(x34581),f329(f16(a903,x34581),a190)),f247(f916(x34581,a903)))
% 191.25/191.44 [3462]E(f329(f329(f311(a908),x34621),f329(f285(a908),x34621)),f329(f285(a908),f329(a117,x34621)))
% 191.25/191.44 [3474]E(f329(f329(f82(a1),f80(a1)),f329(f105(a1),x34741)),f329(f105(a1),f329(a117,x34741)))
% 191.25/191.44 [3476]E(f329(f329(f154(f909(x34761)),f118(x34761)),f118(f909(x34761))),f55(x34761,f118(x34761)))
% 191.25/191.44 [3496]E(f191(f916(f915(x34961,x34961),a903)),f268(x34961,f191(f916(x34961,a903))))
% 191.25/191.44 [3497]E(f329(f310(x34971),f247(f916(x34971,a903))),f247(f916(f916(x34971,a903),a903)))
% 191.25/191.44 [3498]E(f329(f81(f916(x34981,a903)),f191(f916(x34981,a903))),f247(f916(x34981,a903)))
% 191.25/191.44 [3499]E(f329(f81(f916(x34991,a903)),f247(f916(x34991,a903))),f191(f916(x34991,a903)))
% 191.25/191.44 [3501]P1(f329(f62(x35011),f191(f916(x35011,a903))))
% 191.25/191.44 [3503]E(f329(f304(a908,x35031),f329(a117,x35031)),f329(f329(f311(a908),x35031),f191(f916(a908,a903))))
% 191.25/191.44 [3504]E(f87(f915(a908,a908),f49(x35041,f2(a908))),f329(f329(f257(a908,a908),f2(a908)),x35041))
% 191.25/191.44 [3517]E(f329(f329(f311(a908),f329(a117,x35171)),f329(f303(a908),x35171)),f329(f303(a908),f329(a117,x35171)))
% 191.25/191.44 [3521]P43(x35211,f191(f916(f915(x35211,x35211),a903)))
% 191.25/191.44 [3522]P45(x35221,f191(f916(f915(x35221,x35221),a903)))
% 191.25/191.44 [3525]P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x35251)))
% 191.25/191.44 [3532]E(f329(f329(f82(a908),f329(f192(a908),x35321)),f329(a117,f2(a908))),f329(f192(a908),f329(a117,x35321)))
% 191.25/191.44 [3635]P47(f329(f312(a908,a1,f105(a1)),x36351))
% 191.25/191.44 [3674]P60(x36741,f191(f916(x36741,a903)),f191(f916(f915(x36741,x36741),a903)))
% 191.25/191.44 [3694]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f23(a1),x36941),f80(a1))),f51(f329(f108(a1),a102),x36941))
% 191.25/191.44 [3747]P67(x37471,f329(f16(f916(x37471,a903),x37471),f329(f16(a903,x37471),a237)))
% 191.25/191.44 [3951]P1(f329(f329(f331(f916(f915(a908,a908),a903)),f330(x39511)),a103))
% 191.25/191.44 [3976]P1(f329(f329(f331(f916(f915(a908,a908),a903)),f329(a112,x39761)),a103))
% 191.25/191.44 [4107]P30(x41071,f916(x41071,a903),f329(f329(f7(x41071,f916(x41071,a903),f916(x41071,a903)),f311(x41071)),f191(f916(x41071,a903))),f247(f916(x41071,a903)))
% 191.25/191.44 [4600]~E(f329(f329(f82(a1),x46001),x46001),a102)
% 191.25/191.44 [4629]~E(f329(a3,f329(a117,f329(a20,x46291))),f2(a104))
% 191.25/191.44 [4635]~P1(f329(a196,f329(f105(a1),x46351)))
% 191.25/191.44 [4638]~P1(f329(f329(f241(a908),x46381),x46381))
% 191.25/191.44 [4648]~P1(f329(f329(f240(a908),f329(a117,x46481)),x46481))
% 191.25/191.44 [3448]E(f329(a109,f329(f81(a1),f329(f105(a1),x34481))),f2(a908))
% 191.25/191.44 [3451]E(f329(f329(f82(a1),f329(f81(a1),x34511)),x34511),f2(a1))
% 191.25/191.44 [3455]E(f329(f36(a1),f329(f304(a1,f2(a1)),x34551)),f329(a109,x34551))
% 191.25/191.44 [3467]E(f329(f329(f249(a908),f329(a117,f2(a908))),x34671),f329(a117,f2(a908)))
% 191.25/191.44 [3564]E(f329(f284(x35641),f191(f916(f915(x35641,x35641),a903))),f191(f916(x35641,a903)))
% 191.25/191.44 [3572]E(f39(f916(x35721,a903),f191(f916(f916(x35721,a903),a903))),f247(f916(x35721,a903)))
% 191.25/191.44 [3573]E(f39(f916(x35731,a903),f247(f916(f916(x35731,a903),a903))),f191(f916(x35731,a903)))
% 191.25/191.44 [3574]E(f38(f916(x35741,a903),f191(f916(f916(x35741,a903),a903))),f191(f916(x35741,a903)))
% 191.25/191.44 [3575]E(f38(f916(x35751,a903),f247(f916(f916(x35751,a903),a903))),f247(f916(x35751,a903)))
% 191.25/191.44 [3618]E(f329(f329(f311(f909(x36181)),f118(x36181)),f191(f916(f909(x36181),a903))),f164(x36181,f191(f916(x36181,a903))))
% 191.25/191.44 [3619]E(f329(f329(f311(f909(x36191)),f118(x36191)),f191(f916(f909(x36191),a903))),f165(x36191,f118(f916(x36191,a903))))
% 191.25/191.44 [3659]E(f329(f329(f82(a908),f4(x36591)),f329(a117,f2(a908))),f4(f329(a3,f329(a117,f329(a20,x36591)))))
% 191.25/191.44 [3685]E(f329(f36(a1),f329(f312(a908,a1,f105(a1)),x36851)),f329(f36(a908),x36851))
% 191.25/191.44 [3688]P1(f329(f329(f240(a908),x36881),f329(f329(f83(a908),x36881),x36881)))
% 191.25/191.44 [3725]E(f329(f312(a1,a908,a109),f305(a1,f2(a1),f329(f105(a1),x37251))),f329(f303(a908),x37251))
% 191.25/191.44 [3742]E(f329(f329(f37(a908),f329(a117,f2(a908))),f329(f108(a908),x37421)),f329(a109,f329(f329(f37(a1),f80(a1)),f329(f108(a1),x37421))))
% 191.25/191.44 [3744]E(f329(f175(a908),f142(a908,f329(f304(a908,f2(a908)),f329(a117,x37441)))),f329(f303(a908),x37441))
% 191.25/191.44 [3745]E(f329(f329(f82(a908),f329(f192(a104),x37451)),f329(a117,f2(a908))),f329(f192(a104),f329(a3,f329(a117,f329(a20,x37451)))))
% 191.25/191.44 [3764]P45(x37641,f309(x37641,f191(f916(f915(x37641,x37641),a903))))
% 191.25/191.44 [3765]P59(x37651,f309(x37651,f191(f916(f915(x37651,x37651),a903))))
% 191.25/191.44 [3766]E(f329(f312(a1,a908,a109),f329(f312(a908,a1,f105(a1)),x37661)),x37661)
% 191.25/191.44 [3797]E(f329(f329(f311(a908),f2(a908)),f329(f312(a908,a908,a117),f329(f285(a908),x37971))),f329(f285(a908),f329(a117,x37971)))
% 191.25/191.44 [3804]P62(x38041,x38041,f309(x38041,f191(f916(f915(x38041,x38041),a903))))
% 191.25/191.44 [3810]P1(f329(a196,f329(f81(a1),f329(f105(a1),f329(a117,x38101)))))
% 191.25/191.44 [3820]E(f329(f329(f23(f916(a908,a903)),f329(f286(a908),x38201)),f329(f329(f311(a908),x38201),f191(f916(a908,a903)))),f329(f286(a908),f329(a117,x38201)))
% 191.25/191.44 [3837]E(f329(f329(f82(a1),f329(f329(f23(a1),a85),x38371)),f329(f329(f23(a1),a85),x38371)),f329(f329(f23(a1),a85),f329(f329(f82(a1),x38371),x38371)))
% 191.25/191.44 [3852]E(f329(f329(f311(f916(x38521,a903)),f191(f916(x38521,a903))),f191(f916(f916(x38521,a903),a903))),f329(f310(x38521),f191(f916(x38521,a903))))
% 191.25/191.44 [3880]E(f329(f329(f23(f916(a908,a903)),f329(f306(a908),x38801)),f329(f329(f311(a908),f329(a117,x38801)),f191(f916(a908,a903)))),f329(f306(a908),f329(a117,x38801)))
% 191.25/191.44 [3988]E(f329(f108(a908),f329(f329(f82(a1),x39881),x39881)),f329(f329(f88(a908,a908),f329(f108(a908),x39881)),f329(f329(f18(a908,a908,a908),f82(a908)),f5(a908))))
% 191.25/191.44 [4361]P19(x43611,f916(x43611,a903),f329(f329(f8(f916(x43611,a903),f916(f916(x43611,a903),f916(x43611,a903)),x43611),f329(f7(f916(x43611,a903),f916(x43611,a903),f916(x43611,a903)),f23(f916(x43611,a903)))),f329(f329(f7(x43611,f916(x43611,a903),f916(x43611,a903)),f311(x43611)),f191(f916(x43611,a903)))))
% 191.25/191.44 [4448]E(f329(f267(f915(a1,a1)),f329(f262(a1,a1,a903),f329(f329(f8(f916(a1,a903),f916(a1,a903),a1),f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),x44481)))),f241(a1)))),f110(x44481))
% 191.25/191.44 [4481]E(f329(f267(f915(a1,a1)),f329(f262(a1,a1,a903),f329(f329(f18(a1,f916(a1,a903),f916(a1,a903)),f329(f329(f8(f916(a903,a903),f916(f916(a1,a903),f916(a1,a903)),a1),f8(a903,a903,a1)),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),x44811)))),f241(a1)))),f111(x44811))
% 191.25/191.44 [4534]E(f329(f267(f915(f916(x45341,a903),f916(x45341,a903))),f329(f262(f916(x45341,a903),f916(x45341,a903),a903),f329(f329(f7(f916(x45341,a903),f916(f916(x45341,a903),a903),f916(f916(x45341,a903),a903)),f329(f329(f8(f916(f916(x45341,a903),f916(a903,a903)),f916(f916(f916(x45341,a903),a903),f916(f916(x45341,a903),a903)),f916(x45341,a903)),f18(f916(x45341,a903),a903,a903)),f329(f329(f8(f916(f916(x45341,a903),a903),f916(f916(x45341,a903),f916(a903,a903)),f916(x45341,a903)),f329(f8(a903,f916(a903,a903),f916(x45341,a903)),a327)),f241(f916(x45341,a903))))),f62(x45341)))),f316(x45341))
% 191.25/191.44 [4652]~P1(f329(f62(f909(x46521)),f247(f916(f909(x46521),a903))))
% 191.25/191.44 [4664]~P1(f329(f329(f240(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x46641)))))
% 191.25/191.44 [3597]E(f329(f329(f23(a1),f329(f329(f82(a1),x35971),a102)),a102),x35971)
% 191.25/191.44 [3611]E(f329(f175(a908),f142(a908,f329(f304(a908,f2(a908)),x36111))),f329(f285(a908),x36111))
% 191.25/191.44 [3859]E(f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x38591)),x38591),f329(f329(f23(a1),f329(f329(f82(a1),x38591),x38591)),a102))
% 191.25/191.44 [3907]E(f329(f289(x39071,x39071),f309(x39071,f191(f916(f915(x39071,x39071),a903)))),f309(x39071,f191(f916(f915(x39071,x39071),a903))))
% 191.25/191.44 [3954]P1(f329(f329(f240(a908),x39541),f329(f329(f83(a908),x39541),f329(f329(f83(a908),x39541),x39541))))
% 191.25/191.44 [4224]P1(f329(f62(a908),f329(f267(a908),f329(f329(f7(a908,a908,a903),f240(a908)),x42241))))
% 191.25/191.44 [4225]P1(f329(f62(a908),f329(f267(a908),f329(f329(f7(a908,a908,a903),f241(a908)),x42251))))
% 191.25/191.44 [4497]E(f329(f267(f915(x44971,x44971)),f329(f329(f8(f916(x44971,a903),a903,f915(x44971,x44971)),f89(x44971)),f329(f329(f7(f915(x44971,x44971),f916(x44971,f915(x44971,x44971)),f916(x44971,a903)),f329(f329(f8(f916(f915(x44971,x44971),a903),f916(f916(x44971,f915(x44971,x44971)),f916(x44971,a903)),f915(x44971,x44971)),f8(f915(x44971,x44971),a903,x44971)),a326)),f329(f329(f18(x44971,x44971,f915(x44971,x44971)),f257(x44971,x44971)),f5(x44971))))),f309(x44971,f191(f916(f915(x44971,x44971),a903))))
% 191.25/191.44 [4654]~E(f329(f329(f23(a1),f329(f329(f82(a1),x46541),x46541)),a102),a85)
% 191.25/191.44 [4656]~E(f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x46561)),x46561),f2(a1))
% 191.25/191.44 [3999]E(f329(f329(f82(a1),f329(f329(f23(a1),a102),x39991)),f329(f329(f23(a1),a102),x39991)),f329(f329(f23(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x39991),x39991)),a102)))
% 191.25/191.44 [4115]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),a102),x41151)),f329(f329(f23(a1),a102),x41151))),a102),f329(f329(f23(a1),a102),f329(f329(f82(a1),x41151),x41151)))
% 191.25/191.44 [4147]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x41471),a102)),f329(f329(f82(a1),x41471),a102))),a102),f329(f329(f82(a1),f329(f329(f82(a1),x41471),x41471)),a102))
% 191.25/191.44 [4185]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),a102),x41851)),f329(f329(f23(a1),a102),x41851))),a102),f329(f329(f23(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x41851),x41851)),a102)))
% 191.25/191.44 [4282]E(f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x42821),f2(a908))),f191(f916(f915(a908,a908),a903))))),f329(f105(a1),x42821))
% 191.25/191.44 [4292]E(f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),f334(x42921)),f425(x42921))),f191(f916(f915(a908,a908),a903))))),x42921)
% 191.25/191.44 [4325]E(f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x43251)),f329(f312(a908,a1,f105(a1)),f329(f267(a908),f329(f329(f8(a1,a903,a908),x43251),f105(a1)))))
% 191.25/191.44 [4369]P47(f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x43691)))
% 191.25/191.44 [4389]P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x43891),f191(f916(f915(a908,a908),a903)))),a73))
% 191.25/191.44 [4394]E(f329(f312(a1,a908,a109),f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),f329(f329(f8(a908,a903,a1),x43941),a109)))),f329(f267(a908),x43941))
% 191.25/191.44 [4549]E(f314(a908,f329(f329(f40(f915(a908,a908),f916(a908,a903)),f329(a112,x45491)),f329(f262(a908,a908,f916(a908,a903)),f329(f329(f7(a908,f916(a908,a903),f916(a908,f916(a908,a903))),f329(f329(f8(f916(a908,f916(f916(a908,a903),f916(a908,a903))),f916(f916(a908,a903),f916(a908,f916(a908,a903))),a908),f7(a908,f916(a908,a903),f916(a908,a903))),f329(f329(f8(f916(a908,a908),f916(a908,f916(f916(a908,a903),f916(a908,a903))),a908),f329(f8(a908,f916(f916(a908,a903),f916(a908,a903)),a908),f311(a908))),f23(a908)))),f191(f916(a908,a903)))))),f329(a109,x45491))
% 191.25/191.44 [4043]E(f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x40431),x40431)),a102)),a102),f329(f329(f82(a1),x40431),x40431))
% 191.25/191.44 [4093]E(f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x40931),x40931)),a102)),a102),f329(f329(f82(a1),f329(f329(f23(a1),x40931),a102)),f329(f329(f23(a1),x40931),a102)))
% 191.25/191.44 [4298]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),f329(f81(a1),x42981)),a102)),f329(f329(f82(a1),f329(f81(a1),x42981)),a102))),a102),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42981),x42981)),a102)))
% 191.25/191.44 [4342]E(f329(f329(f82(a908),x43421),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a117,f329(a117,x43421)))
% 191.25/191.44 [4343]E(f329(f329(f83(a908),x43431),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f82(a908),x43431),x43431))
% 191.25/191.44 [4344]E(f329(f329(f37(a908),f329(f329(f82(a908),x43441),x43441)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x43441)
% 191.25/191.44 [4422]E(f46(a908,f329(a117,f329(a117,x44221)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f46(a908,x44221,f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.25/191.44 [4564]E(f329(a91,f329(f329(f40(f915(a908,a908),f916(f915(a908,a908),a903)),f329(a112,x45641)),f329(f262(a908,a908,f916(f915(a908,a908),a903)),f329(f329(f8(f916(a908,f916(f915(a908,a908),a903)),f916(a908,f916(f915(a908,a908),a903)),a908),f329(f8(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903),a908),f288(f915(a908,a908),f915(a908,a908),a113))),f329(f329(f7(a908,f916(f915(a908,a908),a903),f916(a908,f916(f915(a908,a908),a903))),f329(f329(f8(f916(a908,f916(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f916(f916(f915(a908,a908),a903),f916(a908,f916(f915(a908,a908),a903))),a908),f7(a908,f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f8(f916(a908,f915(a908,a908)),f916(a908,f916(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),a908),f329(f8(f915(a908,a908),f916(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),a908),f311(f915(a908,a908)))),f329(f7(a908,a908,f915(a908,a908)),f257(a908,a908))))),f191(f916(f915(a908,a908),a903))))))),f329(f81(a1),x45641))
% 191.25/191.44 [4417]E(f329(f329(f82(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x44171),f329(a117,f329(a117,x44171)))
% 191.25/191.44 [4418]E(f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x44181),f329(f329(f82(a908),x44181),x44181))
% 191.25/191.44 [4454]E(f329(f329(f37(a908),f329(a117,f329(a117,x44541))),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a117,f329(f329(f37(a908),x44541),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.25/191.44 [4504]E(f329(f329(f82(a908),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45041),f329(a117,f329(a117,f329(a117,x45041))))
% 191.25/191.44 [4571]E(f329(f262(a1,a1,f915(a1,a1)),f329(f329(f18(a1,f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),f329(f329(f8(f916(a1,f916(f915(a1,a1),f915(a1,a1))),f916(f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),a1),f18(a1,f915(a1,a1),f915(a1,a1))),f329(f329(f8(f916(a1,f915(a1,a1)),f916(a1,f916(f915(a1,a1),f915(a1,a1))),a1),f329(f18(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f329(f329(f8(a903,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f99(f915(a1,a1))),f329(f329(f8(a1,a903,a1),f329(f240(a1),f2(a1))),f329(f329(f7(a1,a1,a1),f23(a1)),x45711))))),f329(f329(f7(a1,f916(a1,a1),f916(a1,f915(a1,a1))),f329(f329(f8(f916(a1,f915(a1,a1)),f916(f916(a1,a1),f916(a1,f915(a1,a1))),a1),f8(a1,f915(a1,a1),a1)),f329(f329(f8(a1,f916(a1,f915(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f916(a1,a1),a1),f82(a1)),f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f80(a1))))),f329(f329(f7(a1,a1,a1),f23(a1)),x45711))))),f329(f329(f8(a1,f916(a1,f915(a1,a1)),a1),f257(a1,a1)),f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))),f44(x45711))
% 191.25/191.44 [3638]P48(a25,x36381,x36382,x36381)
% 191.25/191.44 [3272]P108(f914(x32721,x32722))
% 191.25/191.44 [3273]P108(f915(x32731,x32732))
% 191.25/191.44 [3274]P108(f913(x32741,x32742))
% 191.25/191.44 [3290]P18(a1,f181(x32901,x32902))
% 191.25/191.44 [3291]P43(x32911,f156(x32911,x32912))
% 191.25/191.44 [3292]P44(x32921,f268(x32921,x32922))
% 191.25/191.44 [3293]P44(x32931,f309(x32931,x32932))
% 191.25/191.44 [3294]P45(x32941,f268(x32941,x32942))
% 191.25/191.44 [3295]P59(x32951,f268(x32951,x32952))
% 191.25/191.44 [3360]P37(x33601,x33602,f118(x33601))
% 191.25/191.44 [3393]P60(x33931,x33932,f268(x33931,x33932))
% 191.25/191.44 [3394]P62(x33941,x33941,f268(x33941,x33942))
% 191.25/191.44 [3662]P30(x36621,x36621,f5(x36621),x36622)
% 191.25/191.44 [3663]P30(x36631,x36631,f33(x36631),x36632)
% 191.25/191.44 [3670]P38(x36701,x36702,f118(x36701),f118(x36701))
% 191.25/191.44 [3679]P30(f909(x36791),f909(x36791),f171(x36791),x36792)
% 191.25/191.44 [4083]P31(x40831,x40831,f33(x40831),x40832,x40832)
% 191.25/191.44 [4582]~E(f32(x45821,x45822),a25)
% 191.25/191.44 [4583]~E(f31(x45831,x45832),a25)
% 191.25/191.44 [4612]~P39(x46121,x46122,f118(x46121))
% 191.25/191.44 [4613]~P41(x46131,x46132,f118(x46131))
% 191.25/191.44 [3257]E(f329(f5(x32571),x32572),x32572)
% 191.25/191.44 [3258]E(f329(f267(x32581),x32582),x32582)
% 191.25/191.44 [3260]E(f329(f33(x32601),x32602),x32602)
% 191.25/191.44 [3270]E(f329(f194(x32701),x32702),f120(x32701))
% 191.25/191.44 [3288]E(f87(x32881,f329(a326,x32882)),x32882)
% 191.25/191.44 [3289]E(f92(x32891,f329(a326,x32892)),x32892)
% 191.25/191.44 [3312]E(f329(f129(x33121,x33122),f124(x33121)),f2(a908))
% 191.25/191.44 [3316]E(f329(f139(x33161,x33162),f118(x33161)),f118(x33161))
% 191.25/191.44 [3336]E(f309(x33361,f309(x33361,x33362)),f309(x33361,x33362))
% 191.25/191.44 [3337]E(f155(x33371,f155(x33371,x33372)),f155(x33371,x33372))
% 191.25/191.44 [3355]E(f329(f329(f137(x33551),x33552),f118(x33551)),x33552)
% 191.25/191.44 [3361]E(f176(x33611,x33612,f118(x33611)),x33612)
% 191.25/191.44 [3362]E(f176(x33621,f118(x33621),x33622),x33622)
% 191.25/191.44 [3363]E(f121(x33631,f124(x33631),x33632),x33632)
% 191.25/191.44 [3364]E(f172(x33641,f2(a908),x33642),f118(x33641))
% 191.25/191.44 [3370]E(f329(f329(f178(x33701),x33702),f118(x33701)),f118(x33701))
% 191.25/191.44 [3371]E(f329(f329(f141(x33711),x33712),f118(x33711)),f118(x33711))
% 191.25/191.44 [3373]E(f158(x33731,x33732,f118(x33731)),f2(a908))
% 191.25/191.44 [3375]E(f173(x33751,x33752,f118(x33751)),f118(x33751))
% 191.25/191.44 [3376]E(f180(x33761,x33762,f118(x33761)),f118(x33761))
% 191.25/191.44 [3377]E(f179(x33771,f118(x33771),x33772),f118(x33771))
% 191.25/191.44 [3381]E(f329(f175(x33811),f155(x33811,x33812)),f329(f175(x33811),x33812))
% 191.25/191.44 [3384]E(f329(f287(x33841,x33841),f268(x33841,x33842)),x33842)
% 191.25/191.44 [3385]E(f329(f269(x33851,x33851),f268(x33851,x33852)),x33852)
% 191.25/191.44 [3392]E(f329(f289(x33921,x33921),f268(x33921,x33922)),f268(x33921,x33922))
% 191.25/191.44 [3406]E(f309(f909(x34061),f160(x34061,x34062)),f161(x34061,f309(x34061,x34062)))
% 191.25/191.44 [3408]P1(f329(f140(a1),f181(x34081,x34082)))
% 191.25/191.44 [3416]E(f329(f287(x34161,x34161),f309(x34161,x34162)),f247(f916(x34161,a903)))
% 191.25/191.44 [3417]E(f329(f269(x34171,x34171),f309(x34171,x34172)),f247(f916(x34171,a903)))
% 191.25/191.44 [3421]P1(f329(f140(x34211),f155(x34211,x34212)))
% 191.25/191.44 [3423]P1(f329(f163(x34231,x34232),f118(x34231)))
% 191.25/191.44 [3430]E(f329(f175(a1),f181(x34301,x34302)),f305(a1,x34301,x34302))
% 191.25/191.44 [3444]P63(x34441,f191(f916(x34441,a903)),x34442)
% 191.25/191.44 [3449]E(f329(f261(a1,a1),f47(x34491,x34492)),f46(a1,x34491,x34492))
% 191.25/191.44 [3450]E(f329(f304(a908,x34501),f329(a117,x34502)),f305(a908,x34501,x34502))
% 191.25/191.44 [3466]E(f329(f329(f154(x34661),x34662),f118(x34661)),f143(x34661,x34662,f118(x34661)))
% 191.25/191.44 [3478]E(f305(a908,f329(a117,x34781),x34782),f307(a908,x34781,x34782))
% 191.25/191.44 [3481]P60(x34811,f247(f916(x34811,a903)),f309(x34811,x34812))
% 191.25/191.44 [3544]E(f329(f329(f23(a908),x35441),f329(a117,x35442)),f329(f36(a908),f308(a908,x35442,x35441)))
% 191.25/191.44 [3598]E(f169(x35981,x35982,f118(x35981)),f329(f329(f257(f909(x35981),f909(x35981)),f118(x35981)),f118(x35981)))
% 191.25/191.44 [3616]E(f329(f262(x36161,x36162,f915(x36161,x36162)),f257(x36161,x36162)),f33(f915(x36161,x36162)))
% 191.25/191.44 [3620]P1(f329(f329(f331(f909(x36201)),f118(x36201)),f164(x36201,x36202)))
% 191.25/191.44 [3621]E(f329(f192(f909(x36211)),f119(x36211,x36212)),f329(f329(f23(a908),f329(f192(f909(x36211)),x36212)),f80(a908)))
% 191.25/191.44 [3629]P1(f329(f62(a908),f308(a908,x36291,x36292)))
% 191.25/191.44 [3630]P1(f329(f62(a908),f307(a908,x36301,x36302)))
% 191.25/191.44 [3631]P1(f329(f62(a908),f305(a908,x36311,x36312)))
% 191.25/191.44 [3632]P1(f329(f62(a1),f308(a1,x36321,x36322)))
% 191.25/191.44 [3633]P1(f329(f62(a1),f307(a1,x36331,x36332)))
% 191.25/191.44 [3634]P1(f329(f62(a1),f305(a1,x36341,x36342)))
% 191.25/191.44 [3741]E(f329(f312(a908,a908,a117),f305(a908,x37411,x37412)),f305(a908,f329(a117,x37411),f329(a117,x37412)))
% 191.25/191.44 [3760]E(f329(f329(f291(x37601,x37601,x37601),f309(x37601,x37602)),f309(x37601,x37602)),f309(x37601,x37602))
% 191.25/191.44 [3795]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x37951),x37952)),f46(a1,x37951,x37952)),f47(x37951,x37952))
% 191.25/191.44 [3796]E(f329(f329(f257(a104,a104),f329(f329(f37(a104),x37961),x37962)),f46(a104,x37961,x37962)),f21(x37961,x37962))
% 191.25/191.44 [3824]E(f329(f329(f257(a908,a908),f329(f329(f37(a908),x38241),x38242)),f46(a908,x38241,x38242)),f87(f915(a908,a908),f49(x38241,x38242)))
% 191.25/191.44 [3876]P1(f329(f329(f241(a908),f329(f329(f23(a908),x38761),x38762)),f329(a117,x38761)))
% 191.25/191.44 [3926]P44(x39261,f329(f329(f291(x39261,x39261,x39261),x39262),f309(x39261,x39262)))
% 191.25/191.44 [3975]E(f329(f329(f82(a1),f329(f329(f83(a1),x39751),f329(f329(f37(a1),x39752),x39751))),f46(a1,x39752,x39751)),x39752)
% 191.25/191.44 [3979]E(f329(f329(f40(a908,f916(f915(f909(x39791),f909(x39791)),a903)),f247(f916(a908,a903))),f146(x39791,x39792)),f148(x39791,x39792))
% 191.25/191.44 [4201]P1(f329(f329(f331(f915(f909(x42011),f909(x42011))),f329(f329(f257(f909(x42011),f909(x42011)),f118(x42011)),f118(x42011))),f161(x42011,x42012)))
% 191.25/191.44 [4310]E(f258(x43101,x43101,x43101,a326,f258(x43101,x43101,x43101,x43102,a326)),x43102)
% 191.25/191.44 [4354]E(f263(x43541,x43541,x43542,x43542,f5(x43541),f5(x43542)),f33(f915(x43541,x43542)))
% 191.25/191.44 [4356]E(f263(x43561,x43561,x43562,x43562,f33(x43561),f33(x43562)),f33(f915(x43561,x43562)))
% 191.25/191.44 [3354]E(f329(f171(x33541),f329(f171(x33541),x33542)),x33542)
% 191.25/191.44 [3356]E(f329(f329(f141(x33561),f2(a908)),x33562),x33562)
% 191.25/191.44 [3372]E(f329(f329(f178(x33721),f2(a908)),x33722),f118(x33721))
% 191.25/191.44 [3379]E(f329(f329(f137(x33791),f118(x33791)),x33792),x33792)
% 191.25/191.44 [3388]E(f38(f916(x33881,a903),f329(f310(x33881),x33882)),x33882)
% 191.25/191.44 [3390]E(f329(f175(x33901),f329(f170(x33901),x33902)),f329(f175(x33901),x33902))
% 191.25/191.44 [3391]E(f329(f175(x33911),f329(f171(x33911),x33912)),f329(f175(x33911),x33912))
% 191.25/191.44 [3396]E(f329(f329(f23(a104),x33961),x33962),f329(f329(a24,x33961),x33962))
% 191.25/191.44 [3410]E(f329(f329(f82(a908),x34101),x34102),f329(f329(f82(a908),x34102),x34101))
% 191.25/191.44 [3411]E(f329(f329(f82(a1),x34111),x34112),f329(f329(f82(a1),x34112),x34111))
% 191.25/191.44 [3412]E(f329(f329(f83(a908),x34121),x34122),f329(f329(f83(a908),x34122),x34121))
% 191.25/191.44 [3413]E(f329(f329(f83(a1),x34131),x34132),f329(f329(f83(a1),x34132),x34131))
% 191.25/191.44 [3436]E(f329(f329(f186(x34361,x34361),f2(a908)),x34362),f33(x34361))
% 191.25/191.44 [3437]E(f329(f192(f909(x34371)),f329(f170(x34371),x34372)),f329(f192(f909(x34371)),x34372))
% 191.25/191.44 [3438]E(f329(f192(f909(x34381)),f329(f171(x34381),x34382)),f329(f192(f909(x34381)),x34382))
% 191.25/191.44 [3439]E(f179(x34391,x34392,f191(f916(a908,a903))),f118(x34391))
% 191.25/191.44 [3440]E(f329(f329(f157(x34401,x34401),f5(x34401)),x34402),x34402)
% 191.25/191.44 [3442]E(f329(f256(a1,a1),f47(x34421,x34422)),f329(f329(f37(a1),x34421),x34422))
% 191.25/191.44 [3459]E(f329(f192(f909(x34591)),f155(x34591,x34592)),f329(f36(x34591),f329(f175(x34591),x34592)))
% 191.25/191.44 [3460]E(f30(f31(x34601,x34602)),f329(f329(f82(a908),f30(x34602)),f329(a117,f2(a908))))
% 191.25/191.44 [3461]E(f329(f284(x34611),f329(f289(x34611,x34611),x34612)),f329(f284(x34611),x34612))
% 191.25/191.44 [3465]P1(f329(f62(x34651),f329(f175(x34651),x34652)))
% 191.25/191.44 [3473]E(f329(f329(f82(a1),x34731),f329(f81(a1),x34732)),f329(f329(f23(a1),x34731),x34732))
% 191.25/191.44 [3480]P29(x34801,x34802,f191(f916(f907(x34801),a903)))
% 191.25/191.44 [3482]E(f329(f312(x34821,x34821,f5(x34821)),x34822),x34822)
% 191.25/191.44 [3483]E(f329(f312(x34831,x34831,f33(x34831)),x34832),x34832)
% 191.25/191.44 [3484]E(f329(f313(x34841,x34841,f5(x34841)),x34842),x34842)
% 191.25/191.44 [3485]E(f329(f313(x34851,x34851,f33(x34851)),x34852),x34852)
% 191.25/191.44 [3486]P1(f329(f247(f916(x34861,a903)),x34862))
% 191.25/191.44 [3488]E(f329(f36(a908),f329(f304(a908,x34881),x34882)),f329(f329(f23(a908),x34882),x34881))
% 191.25/191.44 [3489]E(f329(f304(a908,f329(a117,x34891)),x34892),f308(a908,x34891,x34892))
% 191.25/191.44 [3502]E(f329(f329(f311(x35021),x35022),f191(f916(x35021,a903))),f329(f267(x35021),f329(a326,x35022)))
% 191.25/191.44 [3507]E(f309(x35071,f329(f289(x35071,x35071),x35072)),f329(f289(x35071,x35071),f309(x35071,x35072)))
% 191.25/191.44 [3512]E(f329(f329(f82(a908),f329(a117,x35121)),x35122),f329(f329(f82(a908),x35121),f329(a117,x35122)))
% 191.25/191.44 [3513]E(f329(f329(f23(a908),f329(a117,x35131)),f329(a117,x35132)),f329(f329(f23(a908),x35131),x35132))
% 191.25/191.44 [3519]E(f56(x35191,f2(a908),x35192),f329(f329(f154(f909(x35191)),f118(x35191)),f118(f909(x35191))))
% 191.25/191.44 [3520]E(f329(f36(a908),f307(a908,x35201,x35202)),f329(f329(f23(a908),x35202),x35201))
% 191.25/191.44 [3529]P43(x35291,f329(f329(f290(a908,x35291),a245),x35292))
% 191.25/191.44 [3531]P18(a908,f142(a908,f329(f304(a908,x35311),x35312)))
% 191.25/191.44 [3533]P1(f329(f62(a908),f329(f304(a908,x35331),x35332)))
% 191.25/191.44 [3534]P1(f329(f62(a1),f329(f304(a1,x35341),x35342)))
% 191.25/191.44 [3537]E(f329(f289(f909(x35371),f909(x35371)),f160(x35371,x35372)),f160(x35371,f329(f289(x35371,x35371),x35372)))
% 191.25/191.44 [3538]E(f329(f192(a904),f31(x35381,x35382)),f329(f329(f82(a908),f329(f192(a904),x35382)),f329(a117,f2(a908))))
% 191.25/191.44 [3540]E(f329(f304(a1,x35401),f329(f329(f82(a1),x35402),f80(a1))),f305(a1,x35401,x35402))
% 191.25/191.44 [3543]E(f329(f329(f37(a1),f329(f81(a1),x35431)),f329(f81(a1),x35432)),f329(f329(f37(a1),x35431),x35432))
% 191.25/191.44 [3551]E(f329(f329(f186(f915(x35511,x35511),a903),f80(a908)),x35512),x35512)
% 191.25/191.44 [3553]E(f329(f329(f115(f916(x35531,a903)),x35532),f191(f916(x35531,a903))),x35532)
% 191.25/191.44 [3554]E(f329(f329(f23(f916(x35541,a903)),x35542),f191(f916(x35541,a903))),x35542)
% 191.25/191.44 [3555]E(f329(f329(f106(f916(x35551,a903)),x35552),f247(f916(x35551,a903))),x35552)
% 191.25/191.44 [3556]E(f329(f256(a908,a908),f87(f915(a908,a908),f49(x35561,x35562))),f329(f329(f37(a908),x35561),x35562))
% 191.25/191.44 [3563]E(f305(a1,f329(f329(f82(a1),x35631),f80(a1)),x35632),f307(a1,x35631,x35632))
% 191.25/191.44 [3568]E(f329(f261(a908,a908),f87(f915(a908,a908),f49(x35681,x35682))),f46(a908,x35681,x35682))
% 191.25/191.44 [3578]P1(f329(f329(f331(x35781),x35782),f247(f916(x35781,a903))))
% 191.25/191.44 [3582]E(f329(f329(f23(a908),f329(a117,x35821)),x35822),f329(f36(a908),f305(a908,x35822,x35821)))
% 191.25/191.44 [3607]E(f329(f329(f115(f916(x36071,a903)),x36072),f247(f916(x36071,a903))),f247(f916(x36071,a903)))
% 191.25/191.44 [3608]E(f329(f329(f23(f916(x36081,a903)),x36082),f247(f916(x36081,a903))),f191(f916(x36081,a903)))
% 191.25/191.44 [3609]E(f329(f329(f106(f916(x36091,a903)),x36092),f191(f916(x36091,a903))),f191(f916(x36091,a903)))
% 191.25/191.44 [3624]E(f46(a1,f329(f81(a1),x36241),f329(f81(a1),x36242)),f329(f81(a1),f46(a1,x36241,x36242)))
% 191.25/191.44 [3625]E(f46(a1,f329(f105(a1),x36251),f329(f105(a1),x36252)),f329(f105(a1),f46(a908,x36251,x36252)))
% 191.25/191.44 [3636]E(f329(f192(f909(x36361)),f329(f174(x36361),x36362)),f329(f329(f23(a908),f329(f192(f909(x36361)),x36362)),f80(a908)))
% 191.25/191.44 [3664]E(f329(f329(f37(a1),f46(a1,x36641,x36642)),x36642),f2(a1))
% 191.25/191.44 [3672]E(f329(a3,f46(a908,f329(a20,x36721),f329(a20,x36722))),f46(a104,x36721,x36722))
% 191.25/191.44 [3707]E(f329(a3,f329(f329(f82(a908),f329(a20,x37071)),f329(a20,x37072))),f329(f329(f82(a104),x37071),x37072))
% 191.25/191.44 [3708]E(f329(a3,f329(f329(f23(a908),f329(a20,x37081)),f329(a20,x37082))),f329(f329(f23(a104),x37081),x37082))
% 191.25/191.44 [3709]E(f329(a3,f329(f329(f83(a908),f329(a20,x37091)),f329(a20,x37092))),f329(f329(f83(a104),x37091),x37092))
% 191.25/191.44 [3710]E(f329(a3,f329(f329(f37(a908),f329(a20,x37101)),f329(a20,x37102))),f329(f329(f37(a104),x37101),x37102))
% 191.25/191.44 [3719]E(f329(f312(a908,a908,a117),f329(f304(a908,x37191),x37192)),f329(f304(a908,f329(a117,x37191)),f329(a117,x37192)))
% 191.25/191.44 [3746]P1(f329(f49(x37461,x37462),f87(f915(a908,a908),f49(x37461,x37462))))
% 191.25/191.44 [3769]E(f329(f329(f82(a908),f329(f329(f82(a908),f30(x37691)),f30(x37692))),f329(a117,f2(a908))),f30(f32(x37691,x37692)))
% 191.25/191.44 [3770]E(f46(a908,f329(a117,f46(a908,x37701,x37702)),x37702),f46(a908,f329(a117,x37701),x37702))
% 191.25/191.44 [3782]E(f329(f329(f41(f916(x37821,a903),f916(x37821,a903)),x37822),f5(f916(x37821,a903))),f39(f916(x37821,a903),x37822))
% 191.25/191.44 [3783]E(f329(f329(f40(f916(x37831,a903),f916(x37831,a903)),x37832),f5(f916(x37831,a903))),f38(f916(x37831,a903),x37832))
% 191.25/191.44 [3784]E(f329(f312(f909(x37841),f916(x37841,a903),f175(x37841)),f329(f175(f909(x37841)),f55(x37841,x37842))),f329(f310(x37841),f329(f175(x37841),x37842)))
% 191.25/191.44 [3788]P1(f329(f329(f331(f916(x37881,a903)),x37882),f329(f310(x37881),x37882)))
% 191.25/191.44 [3794]E(f46(a1,f329(f81(a1),f46(a1,x37941,x37942)),x37942),f46(a1,f329(f81(a1),x37941),x37942))
% 191.25/191.44 [3806]P1(f329(f329(f240(f916(x38061,a903)),x38062),f247(f916(x38061,a903))))
% 191.25/191.44 [3808]E(f329(f329(f291(x38081,x38081,x38081),f309(x38081,x38082)),f309(x38081,f309(x38081,x38082))),f309(x38081,x38082))
% 191.25/191.44 [3809]E(f329(f329(f115(f916(x38091,a903)),f329(f269(x38091,x38091),x38092)),f329(f287(x38091,x38091),x38092)),f329(f284(x38091),x38092))
% 191.25/191.44 [3830]E(f315(x38301,x38302,f247(f916(x38301,a903)),f247(f916(x38302,a903))),f247(f916(f914(x38301,x38302),a903)))
% 191.25/191.44 [3881]P1(f329(f329(f240(a908),f46(a908,x38811,x38812)),x38811))
% 191.25/191.44 [3905]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),x39051))),f329(f105(a1),x39052)))
% 191.25/191.44 [3931]P1(f329(f329(f331(f916(x39311,a903)),f191(f916(x39311,a903))),f329(f310(x39311),x39312)))
% 191.25/191.44 [3936]E(f309(x39361,f329(f329(f291(x39361,x39361,x39361),x39362),f309(x39361,x39362))),f309(x39361,x39362))
% 191.25/191.44 [3939]E(f329(f329(f291(x39391,x39391,x39391),f309(x39391,x39392)),x39392),f329(f329(f291(x39391,x39391,x39391),x39392),f309(x39391,x39392)))
% 191.25/191.44 [3941]E(f329(a109,f329(f329(f82(a1),f329(f329(f23(a1),x39411),x39412)),f80(a1))),f329(f36(a1),f305(a1,x39412,x39411)))
% 191.25/191.44 [3955]E(f329(f287(x39551,x39551),f329(f329(f291(x39551,x39551,x39551),x39552),f309(x39551,x39552))),f329(f287(x39551,x39551),x39552))
% 191.25/191.44 [3956]E(f329(f269(x39561,x39561),f329(f329(f291(x39561,x39561,x39561),x39562),f309(x39561,x39562))),f329(f269(x39561,x39561),x39562))
% 191.25/191.44 [3971]E(f329(f329(f82(a908),f329(f329(f82(a908),f329(f192(a904),x39711)),f329(f192(a904),x39712))),f329(a117,f2(a908))),f329(f192(a904),f32(x39711,x39712)))
% 191.25/191.44 [3974]E(f329(f145(f909(x39741),f909(x39741),f137(x39741),f118(x39741)),f172(f909(x39741),x39742,f118(x39741))),f118(x39741))
% 191.25/191.44 [3983]P30(a908,a908,f329(f329(f7(a908,a908,a908),f82(a908)),x39831),x39832)
% 191.25/191.44 [3985]P18(a908,f329(f171(a908),f329(f329(f157(f909(x39851),a908),f192(f909(x39851))),f182(x39851,x39852))))
% 191.25/191.44 [4016]P59(x40161,f329(f329(f115(f916(f915(x40161,x40161),a903)),x40162),f329(f289(x40161,x40161),x40162)))
% 191.25/191.44 [4017]P59(x40171,f329(f329(f106(f916(f915(x40171,x40171),a903)),x40172),f329(f289(x40171,x40171),x40172)))
% 191.25/191.44 [4028]P1(f329(f329(f241(a1),f329(f81(a1),f329(f105(a1),f329(a117,x40281)))),f329(f105(a1),x40282)))
% 191.25/191.44 [4072]E(f329(f145(f909(x40721),x40721,f329(f7(x40721,f909(x40721),f909(x40721)),f154(x40721)),f118(x40721)),x40722),f329(f171(x40721),x40722))
% 191.25/191.44 [4122]P1(f329(f329(f240(f916(f915(f909(x41221),f909(x41221)),a903)),f161(x41221,x41222)),f309(f909(x41221),f160(x41221,x41222))))
% 191.25/191.44 [4151]P1(f329(f49(x41511,x41512),f329(f329(f257(a908,a908),f329(f329(f37(a908),x41511),x41512)),f46(a908,x41511,x41512))))
% 191.25/191.44 [4163]P1(f329(f329(f240(f916(f915(f909(x41631),f909(x41631)),a903)),f160(x41631,f309(x41631,x41632))),f309(f909(x41631),f160(x41631,x41632))))
% 191.25/191.44 [4379]E(f329(f329(f264(f915(a104,a104),a104,f915(a104,a104),f915(x43791,f915(a104,a104))),f272(f329(f168(a104),f329(f329(f157(f915(a104,x43791),a104),f256(a104,x43791)),x43792)))),f329(f329(f8(x43791,f916(f915(a104,a104),f915(x43791,f915(a104,a104))),a104),f257(x43791,f915(a104,a104))),f273(x43791,x43792))),f271(x43791,x43792))
% 191.25/191.44 [4456]E(f227(a908,f915(x44561,f910(x44561)),f2(a908),f329(f262(x44561,f910(x44561),a908),f329(f16(f916(f910(x44561),a908),x44561),f329(f329(f7(f910(x44561),a908,a908),f329(f329(f8(a908,f916(a908,a908),f910(x44561)),f82(a908)),f192(f910(x44561)))),f80(a908)))),f329(f138(x44561),x44562)),f329(f192(f910(x44561)),x44562))
% 191.25/191.44 [4563]E(f329(f262(f916(f915(x45631,x45631),a903),f916(f915(x45631,x45631),a903),f916(f916(x45632,x45631),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903)))),f329(f329(f7(f916(f915(x45631,x45631),a903),f916(f916(f915(x45631,x45631),a903),f916(f916(x45632,x45631),f916(f915(x45632,x45632),a903))),f916(f916(f915(x45631,x45631),a903),f916(f916(x45632,x45631),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903))))),f329(f329(f8(f916(f916(f916(x45632,x45631),f916(f915(x45632,x45632),a903)),f916(f916(x45632,x45631),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903)))),f916(f916(f916(f915(x45631,x45631),a903),f916(f916(x45632,x45631),f916(f915(x45632,x45632),a903))),f916(f916(f915(x45631,x45631),a903),f916(f916(x45632,x45631),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903))))),f916(f915(x45631,x45631),a903)),f8(f916(f916(x45632,x45631),f916(f915(x45632,x45632),a903)),f916(f916(x45632,x45631),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903))),f916(f915(x45631,x45631),a903))),f329(f329(f8(f916(f916(x45632,x45631),f916(f916(f915(x45632,x45632),a903),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903)))),f916(f916(f916(x45632,x45631),f916(f915(x45632,x45632),a903)),f916(f916(x45632,x45631),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903)))),f916(f915(x45631,x45631),a903)),f18(f916(x45632,x45631),f916(f915(x45632,x45632),a903),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903)))),f329(f329(f8(f916(f916(x45632,x45631),f916(f915(x45632,x45632),a903)),f916(f916(x45632,x45631),f916(f916(f915(x45632,x45632),a903),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903)))),f916(f915(x45631,x45631),a903)),f329(f8(f916(f915(x45632,x45632),a903),f916(f916(f915(x45632,x45632),a903),f915(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903))),f916(x45632,x45631)),f257(f916(f915(x45632,x45632),a903),f916(f915(x45632,x45632),a903)))),f290(x45631,x45632))))),f290(x45631,x45632))),f75(x45631,x45632))
% 191.25/191.44 [4636]~E(f329(f310(x46361),x46362),f191(f916(f916(x46361,a903),a903)))
% 191.25/191.44 [4647]~P1(f329(f329(f175(x46471),f118(x46471)),x46472))
% 191.25/191.44 [4651]~P1(f329(f329(f331(x46511),x46512),f191(f916(x46511,a903))))
% 191.25/191.44 [4659]~P1(f329(f329(f241(f916(x46591,a903)),x46592),f191(f916(x46591,a903))))
% 191.25/191.44 [3491]E(f329(f329(f23(a908),x34911),f329(f329(f82(a908),x34911),x34912)),f2(a908))
% 191.25/191.44 [3494]E(f329(f329(f115(f916(x34941,a903)),x34942),x34942),x34942)
% 191.25/191.44 [3495]E(f329(f329(f106(f916(x34951,a903)),x34952),x34952),x34952)
% 191.25/191.44 [3523]E(f329(f329(f23(f916(x35231,a903)),x35232),x35232),f191(f916(x35231,a903)))
% 191.25/191.44 [3526]E(f329(f146(x35261,x35262),f2(a908)),f191(f916(f915(f909(x35261),f909(x35261)),a903)))
% 191.25/191.44 [3527]E(f329(f329(f82(a908),x35271),f329(a117,x35272)),f329(a117,f329(f329(f82(a908),x35271),x35272)))
% 191.25/191.44 [3539]E(f198(f329(f105(a1),x35391),f329(f105(a1),x35392)),f329(f105(a1),f329(f329(f23(a908),x35391),x35392)))
% 191.25/191.44 [3542]E(f329(f329(f37(a1),f329(f81(a1),x35421)),x35422),f329(f329(f37(a1),x35421),f329(f81(a1),x35422)))
% 191.25/191.44 [3546]E(f329(f36(a1),f329(f304(a1,x35461),x35462)),f329(a109,f329(f329(f23(a1),x35462),x35461)))
% 191.25/191.44 [3549]E(f329(f329(f82(a908),f329(a117,x35491)),x35492),f329(a117,f329(f329(f82(a908),x35491),x35492)))
% 191.25/191.44 [3552]E(f329(f81(f916(x35521,a903)),f329(f81(f916(x35521,a903)),x35522)),x35522)
% 191.25/191.44 [3565]E(f182(x35651,f329(f329(f154(f909(x35651)),f118(x35651)),x35652)),f182(x35651,x35652))
% 191.25/191.44 [3569]E(f329(f329(f82(a908),x35691),f329(f329(f83(a908),x35691),x35692)),f329(f329(f83(a908),x35691),f329(a117,x35692)))
% 191.25/191.44 [3576]E(f329(f329(a24,f329(a3,x35761)),f329(a3,x35762)),f329(a3,f329(f329(f23(a908),x35761),x35762)))
% 191.25/191.44 [3589]E(f329(f329(f83(a1),f329(f81(a1),x35891)),x35892),f329(f81(a1),f329(f329(f83(a1),x35891),x35892)))
% 191.25/191.44 [3591]E(f329(f329(f249(a1),f329(f105(a1),x35911)),x35912),f329(f105(a1),f329(f329(f249(a908),x35911),x35912)))
% 191.25/191.44 [3592]E(f329(f329(f82(a104),f329(a3,x35921)),f329(a3,x35922)),f329(a3,f329(f329(f82(a908),x35921),x35922)))
% 191.25/191.44 [3593]E(f329(f329(f83(a104),f329(a3,x35931)),f329(a3,x35932)),f329(a3,f329(f329(f83(a908),x35931),x35932)))
% 191.25/191.44 [3594]E(f329(f329(f238(a908),f329(a117,x35941)),f329(a117,x35942)),f329(a117,f329(f329(f238(a908),x35941),x35942)))
% 191.25/191.44 [3595]E(f329(f329(f239(a908),f329(a117,x35951)),f329(a117,x35952)),f329(a117,f329(f329(f239(a908),x35951),x35952)))
% 191.25/191.44 [3600]E(f329(f175(a908),f142(a908,f329(f304(a908,x36001),x36002))),f329(f304(a908,x36001),x36002))
% 191.25/191.44 [3601]E(f314(x36011,f329(f329(f311(x36011),x36012),f191(f916(x36011,a903)))),x36012)
% 191.25/191.44 [3605]E(f329(f287(x36051,x36052),f191(f916(f915(x36051,x36052),a903))),f191(f916(x36052,a903)))
% 191.25/191.44 [3606]E(f329(f269(x36061,x36062),f191(f916(f915(x36061,x36062),a903))),f191(f916(x36061,a903)))
% 191.25/191.44 [3610]E(f329(a109,f329(f329(f23(a1),x36101),x36102)),f329(f36(a1),f307(a1,x36102,x36101)))
% 191.25/191.44 [3615]E(f329(f329(f82(a908),x36151),f329(f329(f83(a908),x36152),x36151)),f329(f329(f83(a908),f329(a117,x36152)),x36151))
% 191.25/191.44 [3617]E(f329(f329(f61(x36171),f191(f916(x36171,a903))),x36172),f191(f916(f916(x36171,a903),a903)))
% 191.25/191.44 [3626]E(f329(f192(f909(a908)),f142(a908,f329(f304(a908,x36261),x36262))),f329(f329(f23(a908),x36262),x36261))
% 191.25/191.44 [3643]E(f329(f329(f115(f916(x36431,a903)),f191(f916(x36431,a903))),x36432),x36432)
% 191.25/191.44 [3644]E(f329(f329(f106(f916(x36441,a903)),f247(f916(x36441,a903))),x36442),x36442)
% 191.25/191.44 [3645]E(f329(f329(f82(a1),f329(f81(a1),x36451)),f329(f81(a1),x36452)),f329(f81(a1),f329(f329(f82(a1),x36451),x36452)))
% 191.25/191.44 [3649]E(f329(f329(f82(a1),f329(f108(a1),x36491)),f329(f108(a1),x36492)),f329(f108(a1),f329(f329(f82(a1),x36491),x36492)))
% 191.25/191.44 [3651]E(f329(f329(f82(a1),f329(f105(a1),x36511)),f329(f105(a1),x36512)),f329(f105(a1),f329(f329(f82(a908),x36511),x36512)))
% 191.25/191.44 [3652]E(f329(f329(f83(a1),f329(f108(a1),x36521)),f329(f108(a1),x36522)),f329(f108(a1),f329(f329(f83(a1),x36521),x36522)))
% 191.25/191.44 [3654]E(f329(f329(f83(a1),f329(f105(a1),x36541)),f329(f105(a1),x36542)),f329(f105(a1),f329(f329(f83(a908),x36541),x36542)))
% 191.25/191.44 [3655]E(f329(f329(f37(a1),f329(f105(a1),x36551)),f329(f105(a1),x36552)),f329(f105(a1),f329(f329(f37(a908),x36551),x36552)))
% 191.25/191.44 [3673]E(f329(f329(f6(x36731,a908),f329(f16(a908,x36731),f80(a908))),x36732),f329(f36(x36731),x36732))
% 191.25/191.44 [3680]E(f329(f81(a1),f46(a1,f329(f81(a1),x36801),x36802)),f46(a1,x36801,f329(f81(a1),x36802)))
% 191.25/191.44 [3682]E(f329(f175(a1),f181(x36821,f329(f329(f23(a1),x36822),f80(a1)))),f329(f304(a1,x36821),x36822))
% 191.25/191.44 [3686]P1(f329(f329(f240(a908),x36861),f329(f329(f82(a908),x36862),x36861)))
% 191.25/191.44 [3687]P1(f329(f329(f240(a908),x36871),f329(f329(f82(a908),x36871),x36872)))
% 191.25/191.44 [3690]E(f329(f329(f115(f916(x36901,a903)),f247(f916(x36901,a903))),x36902),f247(f916(x36901,a903)))
% 191.25/191.44 [3691]E(f329(f329(f23(f916(x36911,a903)),f191(f916(x36911,a903))),x36912),f191(f916(x36911,a903)))
% 191.25/191.44 [3692]E(f329(f329(f106(f916(x36921,a903)),f191(f916(x36921,a903))),x36922),f191(f916(x36921,a903)))
% 191.25/191.44 [3699]E(f329(f329(f257(a1,a1),x36991),f329(f81(a1),x36992)),f329(a52,f329(f329(f257(a1,a1),x36991),x36992)))
% 191.25/191.44 [3700]E(f329(f304(a1,f329(f329(f82(a1),x37001),f80(a1))),x37002),f308(a1,x37001,x37002))
% 191.25/191.44 [3711]E(f329(f329(f83(a908),x37111),f329(f329(f37(a908),x37112),x37111)),f329(f329(f23(a908),x37112),f46(a908,x37112,x37111)))
% 191.25/191.44 [3712]E(f329(f329(f83(a1),x37121),f329(f329(f37(a1),x37122),x37121)),f329(f329(f23(a1),x37122),f46(a1,x37122,x37121)))
% 191.25/191.44 [3716]E(f329(f175(a1),f181(f329(f329(f82(a1),x37161),f80(a1)),x37162)),f307(a1,x37161,x37162))
% 191.25/191.44 [3720]P1(f329(f329(f240(f916(x37201,a903)),x37202),x37202))
% 191.25/191.44 [3723]E(f329(f329(f115(f916(x37231,a903)),x37232),f329(f81(f916(x37231,a903)),x37232)),f247(f916(x37231,a903)))
% 191.25/191.44 [3724]E(f329(f329(f106(f916(x37241,a903)),x37242),f329(f81(f916(x37241,a903)),x37242)),f191(f916(x37241,a903)))
% 191.25/191.44 [3732]E(f329(f329(f23(a908),f329(f329(f23(a908),x37321),f80(a908))),x37322),f329(f329(f23(a908),x37321),f329(a117,x37322)))
% 191.25/191.44 [3738]E(f329(f329(f23(f916(x37381,a903)),f247(f916(x37381,a903))),x37382),f329(f81(f916(x37381,a903)),x37382))
% 191.25/191.44 [3739]E(f329(f329(f23(a1),f329(f108(a1),x37391)),f329(f108(a1),x37392)),f329(f108(a1),f329(f329(f82(a1),x37391),f329(f81(a1),x37392))))
% 191.25/191.44 [3752]E(f329(f175(a908),f142(a908,f329(f304(a908,x37521),f329(a117,x37522)))),f305(a908,x37521,x37522))
% 191.25/191.44 [3767]E(f329(f192(f909(f909(x37671))),f55(x37671,x37672)),f329(f329(f249(a908),f329(a117,f329(a117,f2(a908)))),f329(f192(f909(x37671)),x37672)))
% 191.25/191.44 [3786]E(f329(f329(f186(f915(x37861,x37861),a903),f2(a908)),x37862),f309(x37861,f191(f916(f915(x37861,x37861),a903))))
% 191.25/191.44 [3790]P1(f329(f140(a908),f142(a908,f329(f304(a908,x37901),x37902))))
% 191.25/191.44 [3807]E(f329(f312(a1,a908,a109),f305(a1,f329(f105(a1),x38071),f329(f105(a1),x38072))),f305(a908,x38071,x38072))
% 191.25/191.44 [3816]E(f188(a908,f2(a908),f5(a908),f329(f329(f23(a908),x38161),x38162)),f329(f329(f23(a908),x38161),f329(a117,x38162)))
% 191.25/191.44 [3817]E(f329(a109,f329(f329(f23(a1),x38171),f329(f329(f82(a1),x38172),f80(a1)))),f329(f36(a1),f308(a1,x38172,x38171)))
% 191.25/191.44 [3853]E(f329(f329(f157(a908,a908),a117),f142(a908,f329(f304(a908,x38531),x38532))),f142(a908,f329(f304(a908,f329(a117,x38531)),f329(a117,x38532))))
% 191.25/191.44 [3861]E(f329(f175(a1),f181(f329(f329(f82(a1),x38611),f80(a1)),f329(f329(f23(a1),x38612),f80(a1)))),f308(a1,x38611,x38612))
% 191.25/191.44 [3873]P1(f329(f329(f240(f916(x38731,a903)),f191(f916(x38731,a903))),x38732))
% 191.25/191.44 [3877]E(f87(x38771,f329(f329(f7(x38771,x38771,a903),a326),x38772)),x38772)
% 191.25/191.44 [3878]E(f92(x38781,f329(f329(f7(x38781,x38781,a903),a326),x38782)),x38782)
% 191.25/191.44 [3882]E(f329(f175(a908),f142(a908,f329(f304(a908,f329(a117,x38821)),f329(a117,x38822)))),f307(a908,x38821,x38822))
% 191.25/191.44 [3908]E(f329(f329(f259(x39081,x39082),f247(f916(x39081,a903))),f329(f16(f916(x39082,a903),x39081),f247(f916(x39082,a903)))),f247(f916(f915(x39081,x39082),a903)))
% 191.25/191.44 [3943]E(f329(f267(x39431),f329(f329(f8(a903,a903,x39431),a324),x39432)),f329(f81(f916(x39431,a903)),f329(f267(x39431),x39432)))
% 191.25/191.44 [3946]E(f329(f267(x39461),f329(f329(f7(x39461,x39461,a903),a326),x39462)),f329(f329(f311(x39461),x39462),f191(f916(x39461,a903))))
% 191.25/191.44 [3952]E(f329(f329(f82(a1),f329(f329(f82(a1),x39521),x39521)),f329(f329(f82(a1),x39522),x39522)),f329(f329(f82(a1),f329(f329(f82(a1),x39521),x39522)),f329(f329(f82(a1),x39521),x39522)))
% 191.25/191.44 [3953]E(f329(f329(f23(a1),f329(f329(f82(a1),x39531),x39531)),f329(f329(f82(a1),x39532),x39532)),f329(f329(f82(a1),f329(f329(f23(a1),x39531),x39532)),f329(f329(f23(a1),x39531),x39532)))
% 191.25/191.44 [3968]P1(f329(f329(f240(a908),f329(f36(x39681),f329(f175(x39681),x39682))),f329(f192(f909(x39681)),x39682)))
% 191.25/191.44 [3969]P1(f329(f329(f240(a908),f329(f192(f909(x39691)),f155(x39691,x39692))),f329(f192(f909(x39691)),x39692)))
% 191.25/191.44 [3980]E(f329(f267(x39801),f329(f329(f7(x39801,f916(x39801,a903),a903),f331(x39801)),x39802)),x39802)
% 191.25/191.44 [3994]E(f329(f329(f178(x39941),f329(f329(f23(a908),f329(f192(f909(x39941)),x39942)),f80(a908))),x39942),f119(x39941,x39942))
% 191.25/191.44 [4015]E(f188(a908,f2(a908),f329(f329(f8(a908,a908,a908),a117),f329(f238(a908),x40151)),x40152),f329(f329(f238(a908),f329(a117,x40151)),x40152))
% 191.25/191.44 [4020]E(f38(f916(x40201,a903),f329(f312(f916(f915(x40201,x40201),a903),f916(x40201,a903),f284(x40201)),x40202)),f329(f284(x40201),f38(f916(f915(x40201,x40201),a903),x40202)))
% 191.25/191.44 [4021]E(f188(a908,f329(a117,x40211),f329(f329(f8(a908,a908,a908),a117),f329(f239(a908),x40211)),x40212),f329(f329(f239(a908),f329(a117,x40211)),x40212))
% 191.25/191.44 [4023]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),f329(f77(a1),x40231)),f329(f77(a1),x40232))),f46(a1,f329(f77(a1),x40231),f329(f77(a1),x40232))),f54(x40231,x40232))
% 191.25/191.44 [4045]P1(f329(f329(f240(f916(f916(x40451,a903),a903)),x40452),f329(f310(x40451),f38(f916(x40451,a903),x40452))))
% 191.25/191.44 [4077]E(f329(f329(f40(x40771,f916(x40771,a903)),x40772),f329(f329(f7(x40771,f916(x40771,a903),f916(x40771,a903)),f311(x40771)),f191(f916(x40771,a903)))),x40772)
% 191.25/191.44 [4078]E(f329(f329(f291(x40781,x40781,x40781),f329(f289(x40781,x40781),x40782)),f309(x40781,f329(f289(x40781,x40781),x40782))),f329(f289(x40781,x40781),f329(f329(f291(x40781,x40781,x40781),x40782),f309(x40781,x40782))))
% 191.25/191.44 [4143]E(f329(f175(x41431),f329(f145(f909(x41431),f909(x41431),f137(x41431),f118(x41431)),x41432)),f329(f329(f40(f909(x41431),f916(x41431,a903)),f329(f175(f909(x41431)),x41432)),f175(x41431)))
% 191.25/191.44 [4174]E(f329(f329(f115(f916(f915(x41741,x41741),a903)),f309(x41741,f191(f916(f915(x41741,x41741),a903)))),f329(f329(f291(x41741,x41741,x41741),f309(x41741,x41742)),x41742)),f309(x41741,x41742))
% 191.25/191.44 [4210]E(f329(f329(f184(x42101,x42101),x42102),x42102),f329(f329(f157(x42101,f915(x42101,x42101)),f329(f329(f18(x42101,x42101,f915(x42101,x42101)),f257(x42101,x42101)),f5(x42101))),x42102))
% 191.25/191.44 [4321]E(f329(f145(a908,f909(x43211),f329(f7(f909(x43211),a908,a908),f329(f329(f8(a908,f916(a908,a908),f909(x43211)),f239(a908)),f192(f909(x43211)))),f2(a908)),f329(f171(f909(x43211)),x43212)),f329(f192(f909(f909(x43211))),f182(x43211,x43212)))
% 191.25/191.44 [4393]E(f329(f329(f290(f915(a908,f909(x43931)),f909(x43931)),f321(a908,f909(x43931),a245,f148(x43931,x43932))),f329(f329(f18(f909(x43931),f909(x43931),f915(a908,f909(x43931))),f329(f329(f8(a908,f916(f909(x43931),f915(a908,f909(x43931))),f909(x43931)),f257(a908,f909(x43931))),f192(f909(x43931)))),f5(f909(x43931)))),f149(x43931,x43932))
% 191.25/191.44 [4520]E(f329(f267(x45201),f329(f329(f8(f916(f916(x45201,a903),a903),a903,x45201),f90(f916(x45201,a903))),f329(f329(f8(f916(f916(x45201,a903),a903),f916(f916(x45201,a903),a903),x45201),f329(f18(f916(x45201,a903),a903,a903),f329(f329(f8(a903,f916(a903,a903),f916(x45201,a903)),a332),f329(f329(f7(f916(x45201,a903),f916(f916(x45201,a903),a903),a903),f331(f916(x45201,a903))),x45202)))),f331(x45201)))),f39(f916(x45201,a903),x45202))
% 191.25/191.44 [4521]E(f329(f267(x45211),f329(f329(f8(f916(f916(x45211,a903),a903),a903,x45211),f89(f916(x45211,a903))),f329(f329(f8(f916(f916(x45211,a903),a903),f916(f916(x45211,a903),a903),x45211),f329(f18(f916(x45211,a903),a903,a903),f329(f329(f8(a903,f916(a903,a903),f916(x45211,a903)),a327),f329(f329(f7(f916(x45211,a903),f916(f916(x45211,a903),a903),a903),f331(f916(x45211,a903))),x45212)))),f331(x45211)))),f38(f916(x45211,a903),x45212))
% 191.25/191.44 [4660]~P1(f329(f329(f241(a1),f329(f105(a1),x46601)),f329(f81(a1),f329(f105(a1),x46602))))
% 191.25/191.44 [3613]E(f329(f329(f23(a908),f329(f329(f82(a908),x36131),x36132)),x36132),x36131)
% 191.25/191.44 [3614]E(f329(f329(f23(a908),f329(f329(f82(a908),x36141),x36142)),x36141),x36142)
% 191.25/191.44 [3681]E(f329(f329(f82(a908),f329(f329(f23(a908),x36811),x36812)),x36812),f329(f329(f239(a908),x36811),x36812))
% 191.25/191.44 [3793]E(f329(f329(f83(a908),f329(f329(f37(a908),x37931),x37932)),x37932),f329(f329(f23(a908),x37931),f46(a908,x37931,x37932)))
% 191.25/191.44 [3821]E(f329(f175(a908),f142(a908,f329(f304(a908,f329(a117,x38211)),x38212))),f308(a908,x38211,x38212))
% 191.25/191.44 [3829]E(f329(f105(a1),f220(f329(a109,f329(f77(a1),x38291)),f329(a109,f329(f77(a1),x38292)))),f329(f329(a221,x38291),x38292))
% 191.25/191.44 [3831]E(f329(f329(f115(f916(x38311,a903)),f329(f81(f916(x38311,a903)),x38312)),x38312),f247(f916(x38311,a903)))
% 191.25/191.44 [3832]E(f329(f329(f106(f916(x38321,a903)),f329(f81(f916(x38321,a903)),x38322)),x38322),f191(f916(x38321,a903)))
% 191.25/191.44 [3849]P1(f329(f329(f240(a908),f329(f329(f23(a908),x38491),x38492)),x38491))
% 191.25/191.44 [3850]P1(f329(f329(f240(a908),f329(f329(f37(a908),x38501),x38502)),x38501))
% 191.25/191.44 [3874]P1(f329(f329(f241(a908),x38741),f329(a117,f329(f329(f82(a908),x38742),x38741))))
% 191.25/191.44 [3875]P1(f329(f329(f241(a908),x38751),f329(a117,f329(f329(f82(a908),x38751),x38752))))
% 191.25/191.44 [3892]E(f329(f329(f83(a908),f329(a109,f329(f77(a1),x38921))),f329(a109,f329(f77(a1),x38922))),f329(a109,f329(f77(a1),f329(f329(f83(a1),x38921),x38922))))
% 191.25/191.44 [3904]P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x39041)),x39042)))
% 191.25/191.44 [3973]E(f329(f288(f909(x39731),f909(x39731),f161(x39731,x39732)),f329(f329(f311(f909(x39731)),f118(x39731)),f191(f916(f909(x39731),a903)))),f329(f329(f311(f909(x39731)),f118(x39731)),f191(f916(f909(x39731),a903))))
% 191.25/191.44 [3992]E(f329(f329(f115(f916(f915(x39921,x39921),a903)),f309(x39921,x39922)),f309(x39921,f191(f916(f915(x39921,x39921),a903)))),f309(x39921,x39922))
% 191.25/191.44 [4005]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f82(a1),x40051),x40051))),f329(f108(a1),f329(f329(f82(a1),x40052),x40052))),f329(f329(f37(a1),f329(f108(a1),x40051)),f329(f108(a1),x40052)))
% 191.25/191.44 [4067]E(f329(f329(f249(a1),x40671),f329(f108(a908),f329(f329(f82(a1),x40672),x40672))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x40671),f329(f108(a908),x40672))),f329(f329(f18(a1,a1,a1),f83(a1)),f5(a1))))
% 191.25/191.44 [4073]E(f329(f267(f916(x40731,a903)),f329(f329(f7(f916(x40731,a903),f916(x40731,a903),a903),f240(f916(x40731,a903))),x40732)),f329(f310(x40731),x40732))
% 191.25/191.44 [4089]E(f329(f329(f157(a1,a908),a109),f329(f329(f137(a1),f329(f329(f157(a908,a1),f105(a1)),x40891)),f329(f329(f157(a908,a1),f105(a1)),x40892))),f329(f329(f137(a908),x40891),x40892))
% 191.25/191.44 [4121]E(f329(f312(a1,a1,f329(f329(f7(a1,a1,a1),f82(a1)),x41211)),f329(f304(a1,f2(a1)),f329(f329(f23(a1),x41212),x41211))),f329(f304(a1,x41211),x41212))
% 191.25/191.44 [4123]P61(x41231,f329(f329(f23(f916(f915(x41231,x41231),a903)),x41232),f309(x41231,f191(f916(f915(x41231,x41231),a903)))))
% 191.25/191.44 [4141]E(f329(f192(f909(x41411)),f329(f145(f909(x41411),f909(x41411),f137(x41411),f118(x41411)),x41412)),f329(f168(a908),f329(f329(f157(f909(x41411),a908),f192(f909(x41411))),x41412)))
% 191.25/191.44 [4145]P60(x41451,f247(f916(x41451,a903)),f329(f329(f115(f916(f915(x41451,x41451),a903)),x41452),f309(x41451,f191(f916(f915(x41451,x41451),a903)))))
% 191.25/191.44 [4190]E(f188(a908,f2(a908),f329(f329(f8(a908,a908,a908),a117),f329(f329(f7(a908,a908,a908),f238(a908)),x41901)),x41902),f329(f329(f238(a908),x41902),f329(a117,x41901)))
% 191.25/191.44 [4193]E(f188(a908,f329(a117,x41931),f329(f329(f8(a908,a908,a908),a117),f329(f329(f7(a908,a908,a908),f239(a908)),x41931)),x41932),f329(f329(f239(a908),x41932),f329(a117,x41931)))
% 191.25/191.44 [4196]E(f329(f312(x41961,f909(x41961),f329(f329(f7(x41961,f909(x41961),f909(x41961)),f154(x41961)),f118(x41961))),x41962),f177(x41961,x41962,f329(f329(f311(f909(x41961)),f118(x41961)),f191(f916(f909(x41961),a903)))))
% 191.25/191.44 [4198]E(f329(f329(f115(f916(f915(x41981,x41981),a903)),f329(f329(f291(x41981,x41981,x41981),x41982),f309(x41981,x41982))),f309(x41981,f191(f916(f915(x41981,x41981),a903)))),f309(x41981,x41982))
% 191.25/191.44 [4205]P1(f329(f329(f240(f916(f915(x42051,x42051),a903)),f268(x42051,x42052)),f329(f329(f259(x42051,x42051),x42052),f329(f16(f916(x42051,a903),x42051),x42052))))
% 191.25/191.44 [4208]E(f329(f312(a1,a908,a109),f329(f329(f115(f916(a1,a903)),f329(f312(a908,a1,f105(a1)),x42081)),f329(f312(a908,a1,f105(a1)),x42082))),f329(f329(f115(f916(a908,a903)),x42081),x42082))
% 191.25/191.44 [4209]E(f329(f312(a1,a908,a109),f329(f329(f106(f916(a1,a903)),f329(f312(a908,a1,f105(a1)),x42091)),f329(f312(a908,a1,f105(a1)),x42092))),f329(f329(f106(f916(a908,a903)),x42091),x42092))
% 191.25/191.44 [4212]E(f329(f267(x42121),f329(f329(f8(a903,a903,x42121),a324),f329(f329(f7(x42121,f916(x42121,a903),a903),f331(x42121)),x42122))),f329(f81(f916(x42121,a903)),x42122))
% 191.25/191.44 [4239]E(f329(f145(f909(x42391),f909(x42391),f137(x42391),f118(x42391)),f329(f329(f157(f909(x42391),f909(x42391)),f171(x42391)),f329(f171(f909(x42391)),x42392))),f329(f171(x42391),f329(f145(f909(x42391),f909(x42391),f137(x42391),f118(x42391)),x42392)))
% 191.25/191.44 [4265]E(f329(f329(f40(a908,f916(f915(x42651,x42651),a903)),f247(f916(a908,a903))),f329(f329(f7(a908,f916(f915(x42651,x42651),a903),f916(f915(x42651,x42651),a903)),f186(f915(x42651,x42651),a903)),x42652)),f309(x42651,x42652))
% 191.25/191.44 [4283]E(f87(x42831,f329(f329(f8(f916(x42831,a903),a903,x42831),f329(a326,x42832)),f329(f329(f7(x42831,f916(x42831,a903),f916(x42831,a903)),f311(x42831)),f191(f916(x42831,a903))))),f314(x42831,x42832))
% 191.25/191.44 [4291]E(f329(f192(f909(x42911)),f155(x42911,f329(f145(f909(x42911),f909(x42911),f137(x42911),f118(x42911)),x42912))),f329(f36(x42911),f329(f329(f40(f909(x42911),f916(x42911,a903)),f329(f175(f909(x42911)),x42912)),f175(x42911))))
% 191.25/191.44 [4305]E(f329(f329(f115(f916(f915(x43051,x43051),a903)),x43052),f329(f329(f291(x43051,x43051,x43051),f329(f329(f291(x43051,x43051,x43051),x43052),f309(x43051,x43052))),x43052)),f329(f329(f291(x43051,x43051,x43051),x43052),f309(x43051,x43052)))
% 191.25/191.44 [4329]P1(f329(f329(f240(f916(f915(x43291,x43291),a903)),f329(f329(f291(x43291,x43291,x43291),x43292),f309(x43291,x43292))),f329(f329(f259(x43291,x43291),f329(f284(x43291),x43292)),f329(f16(f916(x43291,a903),x43291),f329(f284(x43291),x43292)))))
% 191.25/191.44 [4370]E(f329(f267(f909(x43701)),f329(f329(f7(f909(x43701),f916(x43701,a903),a903),f329(f329(f8(f916(x43701,a903),f916(f916(x43701,a903),a903),f909(x43701)),f240(f916(x43701,a903))),f175(x43701))),x43702)),f164(x43701,x43702))
% 191.25/191.44 [4381]E(f329(f159(f909(x43811),x43811,f118(x43811),f329(f329(f8(f909(x43811),f916(f909(x43811),f909(x43811)),x43811),f329(f7(f909(x43811),f909(x43811),f909(x43811)),f137(x43811))),f329(f329(f7(x43811,f909(x43811),f909(x43811)),f154(x43811)),f118(x43811)))),x43812),f329(f170(x43811),x43812))
% 191.25/191.44 [4421]P30(f916(x44211,x44212),f916(f915(x44211,x44212),a903),f329(f329(f8(f916(f915(x44211,x44212),a903),f916(f915(x44211,x44212),a903),f916(x44211,x44212)),f267(f915(x44211,x44212))),f329(f329(f8(f916(x44211,f916(x44212,a903)),f916(f915(x44211,x44212),a903),f916(x44211,x44212)),f262(x44211,x44212,a903)),f329(f8(x44212,f916(x44212,a903),x44211),f329(f7(x44212,x44212,a903),a326)))),f247(f916(f916(x44211,x44212),a903)))
% 191.25/191.44 [4426]E(f46(a1,f329(f108(a1),f329(f329(f82(a1),x44261),x44261)),f329(f108(a1),f329(f329(f82(a1),x44262),x44262))),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f46(a1,f329(f108(a1),x44261),f329(f108(a1),x44262))))
% 191.25/191.44 [4470]E(f329(f329(f40(x44701,f916(f915(x44701,x44701),a903)),x44702),f329(f329(f7(x44701,f916(f915(x44701,x44701),a903),f916(f915(x44701,x44701),a903)),f329(f329(f8(f915(x44701,x44701),f916(f916(f915(x44701,x44701),a903),f916(f915(x44701,x44701),a903)),x44701),f311(f915(x44701,x44701))),f329(f329(f18(x44701,x44701,f915(x44701,x44701)),f257(x44701,x44701)),f5(x44701)))),f191(f916(f915(x44701,x44701),a903)))),f268(x44701,x44702))
% 191.25/191.44 [4478]E(f206(x44781,f329(f329(f257(a1,a1),f329(f81(a1),f329(f329(f74(f915(a1,a1),a1,x44781,f256(a1,a1)),f216(x44781)),x44782))),f329(f329(f74(f915(a1,a1),a1,x44781,f261(a1,a1)),f216(x44781)),x44782))),f231(x44781,x44782))
% 191.25/191.44 [4559]E(f329(f267(f916(x45591,a903)),f329(f329(f8(f916(f916(x45591,a903),a903),a903,f916(x45591,a903)),f89(f916(x45591,a903))),f329(f329(f7(f916(x45591,a903),f916(f916(x45591,a903),a903),f916(f916(x45591,a903),a903)),f329(f329(f8(f916(f916(x45591,a903),f916(a903,a903)),f916(f916(f916(x45591,a903),a903),f916(f916(x45591,a903),a903)),f916(x45591,a903)),f18(f916(x45591,a903),a903,a903)),f329(f329(f8(f916(f916(x45591,a903),a903),f916(f916(x45591,a903),f916(a903,a903)),f916(x45591,a903)),f329(f8(a903,f916(a903,a903),f916(x45591,a903)),a327)),f329(f329(f7(f916(x45591,a903),f916(f916(x45591,a903),f916(x45591,a903)),f916(f916(x45591,a903),a903)),f329(f329(f8(f916(f916(x45591,a903),a903),f916(f916(f916(x45591,a903),f916(x45591,a903)),f916(f916(x45591,a903),a903)),f916(x45591,a903)),f8(f916(x45591,a903),a903,f916(x45591,a903))),a326)),f81(f916(x45591,a903)))))),f329(f329(f8(f916(f916(x45591,a903),a903),a903,f916(x45591,a903)),f329(f331(f916(x45591,a903)),x45592)),f310(x45591))))),f329(f310(x45591),f329(f81(f916(x45591,a903)),x45592)))
% 191.25/191.44 [4658]~E(f329(f329(f82(a1),x46581),x46581),f329(f329(f23(a1),f329(f329(f82(a1),x46582),x46582)),a102))
% 191.25/191.44 [4662]~P1(f329(f329(f241(a908),f329(f329(f82(a908),x46621),x46622)),x46622))
% 191.25/191.44 [4663]~P1(f329(f329(f241(a908),f329(f329(f82(a908),x46631),x46632)),x46631))
% 191.25/191.44 [3909]E(f329(f329(f23(a908),x39091),f329(f329(f83(a908),f329(f329(f37(a908),x39091),x39092)),x39092)),f46(a908,x39091,x39092))
% 191.25/191.44 [3910]E(f329(f329(f23(a1),x39101),f329(f329(f83(a1),f329(f329(f37(a1),x39101),x39102)),x39102)),f46(a1,x39101,x39102))
% 191.25/191.44 [3944]E(f329(f329(f157(a908,x39441),f329(f167(x39441),x39442)),f142(a908,f329(f304(a908,f2(a908)),f329(f192(f909(x39441)),x39442)))),x39442)
% 191.25/191.44 [4001]E(f329(f288(x40011,x40011,f309(x40011,f191(f916(f915(x40011,x40011),a903)))),x40012),x40012)
% 191.25/191.44 [4126]E(f309(x41261,f329(f329(f115(f916(f915(x41261,x41261),a903)),x41262),f309(x41261,f191(f916(f915(x41261,x41261),a903))))),f309(x41261,x41262))
% 191.25/191.44 [4127]E(f309(x41271,f329(f329(f23(f916(f915(x41271,x41271),a903)),x41272),f309(x41271,f191(f916(f915(x41271,x41271),a903))))),f309(x41271,x41272))
% 191.25/191.44 [4177]E(f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x41771),x41771)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x41772),x41772)),a102)),f329(f329(f82(a1),f329(f329(f23(a1),x41771),x41772)),f329(f329(f23(a1),x41771),x41772)))
% 191.25/191.44 [4217]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x42171),x42172)),f329(f329(f82(a1),x42171),x42172))),a102),f329(f329(f82(a1),f329(f329(f82(a1),x42171),x42171)),f329(f329(f23(a1),f329(f329(f82(a1),x42172),x42172)),a102)))
% 191.25/191.44 [4242]E(f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42421),x42421)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x42422),x42422)),a102)),f329(f329(f82(a1),f329(f329(f82(a1),x42421),f329(f329(f23(a1),x42422),a102))),f329(f329(f82(a1),x42421),f329(f329(f23(a1),x42422),a102))))
% 191.25/191.44 [4253]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f82(a1),x42531),x42532)),f329(f329(f82(a1),x42531),x42532))),a102),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42531),x42531)),a102)),f329(f329(f82(a1),x42532),x42532)))
% 191.25/191.44 [4254]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),x42541),x42542)),f329(f329(f23(a1),x42541),x42542))),a102),f329(f329(f23(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42541),x42541)),a102)),f329(f329(f82(a1),x42542),x42542)))
% 191.25/191.44 [4302]E(f329(f105(a1),f329(f329(f37(a908),f329(f329(f83(a908),f329(a109,f329(f77(a1),x43021))),f329(a109,f329(f77(a1),x43022)))),f220(f329(a109,f329(f77(a1),x43021)),f329(a109,f329(f77(a1),x43022))))),f222(x43021,x43022))
% 191.25/191.44 [4347]E(f329(f329(f264(f915(a104,a104),a104,f915(a104,a104),f915(x43471,f915(a104,a104))),f272(f329(a3,f329(f192(f909(x43471)),x43472)))),f329(f329(f8(x43471,f916(f915(a104,a104),f915(x43471,f915(a104,a104))),a104),f257(x43471,f915(a104,a104))),f329(f329(f8(a908,x43471,a104),f329(f167(x43471),x43472)),a20))),f278(x43471,x43472))
% 191.25/191.44 [4427]E(f329(f145(a908,f909(x44271),f329(f7(f909(x44271),a908,a908),f329(f329(f8(a908,f916(a908,a908),f909(x44271)),f239(a908)),f192(f909(x44271)))),f2(a908)),f329(f171(f909(x44271)),f182(x44271,x44272))),f329(f192(f909(f909(x44271))),f329(f139(f909(x44271),f329(f329(f8(a903,a903,f909(x44271)),a324),f329(f329(f7(f909(x44271),f909(x44271),a903),a326),f118(x44271)))),x44272)))
% 191.25/191.44 [4433]E(f329(f329(f40(a908,f916(x44331,a903)),f247(f916(a908,a903))),f329(f329(f7(a908,f916(a908,f916(x44331,a903)),f916(x44331,a903)),f329(f329(f8(f916(a908,a903),f916(f916(a908,f916(x44331,a903)),f916(x44331,a903)),a908),f40(a908,f916(x44331,a903))),f304(a908,f2(a908)))),x44332)),f329(f329(f40(a908,f916(x44331,a903)),f247(f916(a908,a903))),x44332))
% 191.25/191.44 [4455]P1(f329(f62(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),x44551)),f329(f329(f7(a908,a908,a903),f241(a908)),x44552)))))
% 191.25/191.44 [4568]E(f329(f267(f915(f909(x45681),f909(x45681))),f329(f262(f909(x45681),f909(x45681),a903),f329(f329(f18(f909(x45681),f916(f909(x45681),a903),f916(f909(x45681),a903)),f329(f329(f8(f916(f909(x45681),f916(a903,a903)),f916(f916(f909(x45681),a903),f916(f909(x45681),a903)),f909(x45681)),f18(f909(x45681),a903,a903)),f329(f329(f8(f916(f909(x45681),a903),f916(f909(x45681),f916(a903,a903)),f909(x45681)),f329(f8(a903,f916(a903,a903),f909(x45681)),a328)),f329(f329(f7(f909(x45681),f916(f909(x45681),a908),f916(f909(x45681),a903)),f329(f329(f8(f916(a908,a903),f916(f916(f909(x45681),a908),f916(f909(x45681),a903)),f909(x45681)),f8(a908,a903,f909(x45681))),f329(f329(f8(a908,f916(a908,a903),f909(x45681)),f241(a908)),f192(f909(x45681))))),f192(f909(x45681)))))),f329(f329(f18(f909(x45681),f916(f909(x45681),a903),f916(f909(x45681),a903)),f329(f329(f8(f916(f909(x45681),f916(a903,a903)),f916(f916(f909(x45681),a903),f916(f909(x45681),a903)),f909(x45681)),f18(f909(x45681),a903,a903)),f329(f329(f8(f916(f909(x45681),a903),f916(f909(x45681),f916(a903,a903)),f909(x45681)),f329(f8(a903,f916(a903,a903),f909(x45681)),a327)),f329(f329(f7(f909(x45681),f916(f909(x45681),a908),f916(f909(x45681),a903)),f329(f329(f8(f916(a908,a903),f916(f916(f909(x45681),a908),f916(f909(x45681),a903)),f909(x45681)),f8(a908,a903,f909(x45681))),f329(f329(f8(a908,f916(a908,a903),f909(x45681)),a326),f192(f909(x45681))))),f192(f909(x45681)))))),f329(f329(f7(f909(x45681),f916(f915(f909(x45681),f909(x45681)),a903),f916(f909(x45681),a903)),f329(f329(f8(f916(f909(x45681),f916(f916(f915(f909(x45681),f909(x45681)),a903),a903)),f916(f916(f915(f909(x45681),f909(x45681)),a903),f916(f909(x45681),a903)),f909(x45681)),f7(f909(x45681),f916(f915(f909(x45681),f909(x45681)),a903),a903)),f329(f329(f8(f916(f909(x45681),f915(f909(x45681),f909(x45681))),f916(f909(x45681),f916(f916(f915(f909(x45681),f909(x45681)),a903),a903)),f909(x45681)),f329(f8(f915(f909(x45681),f909(x45681)),f916(f916(f915(f909(x45681),f909(x45681)),a903),a903),f909(x45681)),f331(f915(f909(x45681),f909(x45681))))),f257(f909(x45681),f909(x45681))))),f148(x45681,x45682)))))),f149(x45681,x45682))
% 191.25/191.44 [4245]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),x42451),x42452)),f329(f329(f83(a1),x42451),x42452))),x42452),f329(f329(f83(a1),f329(f329(f23(a1),f329(f329(f82(a1),x42451),x42451)),a102)),x42452))
% 191.25/191.44 [4346]E(f329(a109,f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x43461),x43462)),f191(f916(f915(a908,a908),a903)))))),f329(f329(f23(a908),x43461),x43462))
% 191.25/191.44 [4350]E(f329(f329(f291(x43501,x43501,x43501),f329(f329(f115(f916(f915(x43501,x43501),a903)),x43502),f309(x43501,f191(f916(f915(x43501,x43501),a903))))),f309(x43501,f329(f329(f115(f916(f915(x43501,x43501),a903)),x43502),f309(x43501,f191(f916(f915(x43501,x43501),a903)))))),f309(x43501,x43502))
% 191.25/191.44 [4387]E(f273(x43871,f329(f139(f915(a104,x43871),f329(f262(a104,x43871,a903),f329(f329(f8(a903,f916(x43871,a903),a104),f16(a903,x43871)),f329(f241(a104),f2(a104))))),x43872)),f273(x43871,x43872))
% 191.25/191.44 [4388]E(f271(x43881,f329(f139(f915(a104,x43881),f329(f262(a104,x43881,a903),f329(f329(f8(a903,f916(x43881,a903),a104),f16(a903,x43881)),f329(f241(a104),f2(a104))))),x43882)),f271(x43881,x43882))
% 191.25/191.44 [4390]E(f329(f81(a1),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x43901),x43902)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x43902),x43901)),f191(f916(f915(a908,a908),a903))))))
% 191.25/191.44 [4446]E(f329(f329(f290(f909(a908),x44461),f148(a908,a245)),f329(f329(f7(x44461,f909(f916(x44461,a908)),f909(a908)),f329(f329(f8(f916(f916(x44461,a908),a908),f916(f909(f916(x44461,a908)),f909(a908)),x44461),f157(f916(x44461,a908),a908)),f329(f7(f916(x44461,a908),x44461,a908),f5(f916(x44461,a908))))),x44462)),f156(x44461,x44462))
% 191.25/191.44 [4467]E(f329(f329(f88(a1,a908),f329(f108(a1),f329(f329(f82(a1),x44671),a102))),f329(f329(f18(a1,a908,a908),f329(f329(f7(a1,a908,f916(a908,a908)),f329(f329(f8(a903,f916(a908,f916(a908,a908)),a1),f99(a908)),a196)),f2(a908))),f329(f329(f8(a908,a908,a1),a117),f329(f329(f8(a908,a908,a1),f329(f238(a908),x44672)),a109)))),f329(f329(f238(a908),f329(a117,x44672)),f329(f108(a908),x44671)))
% 191.25/191.44 [4468]E(f329(f329(f88(a1,a908),f329(f108(a1),f329(f329(f82(a1),x44681),a102))),f329(f329(f18(a1,a908,a908),f329(f329(f7(a1,a908,f916(a908,a908)),f329(f329(f8(a903,f916(a908,f916(a908,a908)),a1),f99(a908)),a196)),f329(a117,x44682))),f329(f329(f8(a908,a908,a1),a117),f329(f329(f8(a908,a908,a1),f329(f239(a908),x44682)),a109)))),f329(f329(f239(a908),f329(a117,x44682)),f329(f108(a908),x44681)))
% 191.25/191.44 [4488]E(f329(f145(f909(x44881),f909(x44881),f137(x44881),f118(x44881)),f329(f329(f157(f909(x44881),f909(x44881)),f159(f909(x44881),x44881,f118(x44881),f329(f329(f8(f909(x44881),f916(f909(x44881),f909(x44881)),x44881),f16(f909(x44881),f909(x44881))),f329(f329(f7(x44881,f909(x44881),f909(x44881)),f154(x44881)),f118(x44881))))),x44882)),f329(f329(f157(f909(x44881),x44881),f144(x44881)),f329(f139(f909(x44881),f329(f329(f8(a903,a903,f909(x44881)),a324),f329(f329(f7(f909(x44881),f909(x44881),a903),a326),f118(x44881)))),x44882)))
% 191.25/191.44 [4550]E(f329(f262(a1,a1,a903),f329(f329(f7(a1,f916(a1,a903),f916(a1,a903)),f329(f329(f8(f916(a1,f916(a903,a903)),f916(f916(a1,a903),f916(a1,a903)),a1),f18(a1,a903,a903)),f329(f329(f8(f916(a1,a903),f916(a1,f916(a903,a903)),a1),f329(f8(a903,f916(a903,a903),a1),a327)),f329(f329(f8(f916(a1,a1),f916(a1,a903),a1),f329(f8(a1,a903,a1),f329(a326,x45501))),f329(f329(f8(a1,f916(a1,a1),a1),f82(a1)),f329(f83(a1),x45502)))))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),f329(a332,f329(f329(f241(a1),f2(a1)),x45502))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),f329(f329(f7(a1,a1,a903),f241(a1)),x45502))))),f329(f329(f8(a903,a903,a1),f329(a332,f329(a324,f329(f329(f241(a1),f2(a1)),x45502)))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f241(a1),x45502))),f329(f329(f7(a1,a1,a903),f240(a1)),f2(a1))))))),f50(x45501,x45502))
% 191.25/191.44 [4553]E(f329(f267(x45531),f329(f329(f8(f916(a908,a903),a903,x45531),f89(a908)),f329(f329(f7(x45531,f916(a908,a903),f916(a908,a903)),f329(f329(f8(f916(a908,f916(a903,a903)),f916(f916(a908,a903),f916(a908,a903)),x45531),f18(a908,a903,a903)),f329(f329(f8(f916(a908,a903),f916(a908,f916(a903,a903)),x45531),f329(f8(a903,f916(a903,a903),a908),a327)),f329(f329(f7(x45531,f916(a908,x45531),f916(a908,a903)),f329(f329(f8(f916(x45531,a903),f916(f916(a908,x45531),f916(a908,a903)),x45531),f8(x45531,a903,a908)),a326)),f329(f167(x45531),x45532))))),f329(f329(f7(a908,a908,a903),f241(a908)),f329(f192(f909(x45531)),x45532))))),f329(f175(x45531),x45532))
% 191.25/191.44 [4360]E(f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x43601),a102)),x43602)),f329(f329(f23(a1),f329(f329(f82(a1),x43601),a102)),x43602))),a102),f329(f329(f23(a1),f329(f329(f82(a1),x43601),x43601)),f329(f329(f23(a1),f329(f329(f82(a1),x43602),x43602)),a102)))
% 191.25/191.44 [4483]E(f329(f145(f909(f909(x44831)),f909(f909(x44831)),f137(f909(x44831)),f118(f909(x44831))),f329(f329(f157(f909(x44831),f909(f909(x44831))),f159(f909(f909(x44831)),x44831,f118(f909(x44831)),f329(f16(f916(f909(x44831),f909(f909(x44831))),x44831),f329(f329(f7(f909(x44831),f909(f909(x44831)),f909(f909(x44831))),f154(f909(x44831))),f118(f909(x44831)))))),x44832)),f329(f329(f157(f909(x44831),f909(x44831)),f174(x44831)),f329(f139(f909(x44831),f329(f329(f8(a903,a903,f909(x44831)),a324),f329(f329(f7(f909(x44831),f909(x44831),a903),a326),f118(x44831)))),x44832)))
% 191.25/191.44 [4493]E(f329(f329(f88(a1,a908),f329(f108(a1),f329(f329(f82(a1),x44931),a102))),f329(f329(f18(a1,a908,a908),f329(f329(f7(a1,a908,f916(a908,a908)),f329(f329(f8(a903,f916(a908,f916(a908,a908)),a1),f99(a908)),a196)),f2(a908))),f329(f329(f8(a908,a908,a1),a117),f329(f329(f7(a1,a908,a908),f329(f329(f8(a908,f916(a908,a908),a1),f238(a908)),a109)),x44932)))),f329(f329(f238(a908),f329(f108(a908),x44931)),f329(a117,x44932)))
% 191.25/191.44 [4494]E(f329(f329(f88(a1,a908),f329(f108(a1),f329(f329(f82(a1),x44941),a102))),f329(f329(f18(a1,a908,a908),f329(f329(f7(a1,a908,f916(a908,a908)),f329(f329(f8(a903,f916(a908,f916(a908,a908)),a1),f99(a908)),a196)),f329(a117,x44942))),f329(f329(f8(a908,a908,a1),a117),f329(f329(f7(a1,a908,a908),f329(f329(f8(a908,f916(a908,a908),a1),f239(a908)),a109)),x44942)))),f329(f329(f239(a908),f329(f108(a908),x44941)),f329(a117,x44942)))
% 191.25/191.44 [4482]E(f329(f262(x44821,x44821,a903),f329(f329(f18(x44821,a903,f916(x44821,a903)),f329(f329(f8(f916(x44821,f916(a903,a903)),f916(a903,f916(x44821,a903)),x44821),f7(x44821,a903,a903)),f329(f329(f8(f916(x44821,a903),f916(x44821,f916(a903,a903)),x44821),f329(f8(a903,f916(a903,a903),x44821),a327)),a326))),x44822)),f268(x44821,x44822))
% 191.25/191.44 [4527]E(f329(f329(f37(a908),x45271),f329(f329(f82(a908),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45272)),f329(f329(f37(a908),x45271),f329(a117,f329(a117,f329(a117,x45272)))))
% 191.25/191.44 [4528]E(f46(a908,x45281,f329(f329(f82(a908),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45282)),f46(a908,x45281,f329(a117,f329(a117,f329(a117,x45282)))))
% 191.25/191.44 [4529]E(f46(a908,f329(f329(f82(a908),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45291),x45292),f46(a908,f329(a117,f329(a117,f329(a117,x45291))),x45292))
% 191.25/191.44 [4541]E(f127(f329(x45411,f329(f329(f83(a104),f329(f108(a104),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45412))),f329(f204(x45411),x45412))
% 191.25/191.44 [4542]E(f329(f329(f37(a908),f329(f329(f82(a908),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),x45421)),x45422),f329(f329(f37(a908),f329(a117,f329(a117,f329(a117,x45421)))),x45422))
% 191.25/191.44 [4590]~E(f32(x45901,x45902),f329(a26,x45903))
% 191.25/191.44 [4591]~E(f31(x45911,x45912),f329(a26,x45913))
% 191.25/191.44 [4592]~E(f329(a26,x45921),f32(x45922,x45923))
% 191.25/191.44 [4593]~E(f329(a26,x45931),f31(x45932,x45933))
% 191.25/191.44 [4606]~E(f29(x46061,x46062,x46063),a25)
% 191.25/191.44 [4607]~E(f28(x46071,x46072,x46073),a25)
% 191.25/191.44 [4611]~E(f130(x46111,x46112,x46113),f124(x46111))
% 191.25/191.44 [3338]E(f329(f195(x33381,x33382),x33383),f125(x33381,x33382))
% 191.25/191.44 [3357]E(f329(f203(x33571,x33572),x33573),f329(f133(x33571),x33572))
% 191.25/191.44 [3435]E(f329(f329(f157(x34351,x34352),x34353),f118(x34351)),f118(x34352))
% 191.25/191.44 [3475]E(f329(f187(x34751,x34752,x34753),f2(a908)),x34752)
% 191.25/191.44 [3477]E(f329(f329(f184(x34771,x34772),x34773),f118(x34772)),f118(f915(x34771,x34772)))
% 191.25/191.44 [3492]E(f329(f192(f909(x34921)),f172(x34921,x34922,x34923)),x34922)
% 191.25/191.44 [3511]E(f87(x35111,f63(x35111,x35112,x35113)),f329(f64(x35111,x35112),x35113))
% 191.25/191.44 [3515]E(f248(x35151,x35152,f248(x35152,x35151,x35153)),x35153)
% 191.25/191.44 [3535]E(f329(f171(x35351),f172(x35351,x35352,x35353)),f172(x35351,x35352,x35353))
% 191.25/191.44 [3562]E(f143(x35621,x35622,f155(x35621,x35623)),f155(x35621,f143(x35621,x35622,x35623)))
% 191.25/191.44 [3580]E(f329(f256(f909(x35801),f909(x35801)),f169(x35801,x35802,x35803)),f329(f139(x35801,x35802),x35803))
% 191.25/191.44 [3622]E(f329(f329(f154(x36221),x36222),f172(x36221,x36223,x36222)),f172(x36221,f329(a117,x36223),x36222))
% 191.25/191.44 [3656]E(f188(x36561,x36562,x36563,f2(a908)),x36562)
% 191.25/191.44 [3657]E(f17(x36571,x36572,x36573,f2(a104)),x36572)
% 191.25/191.44 [3658]E(f19(x36581,x36582,x36583,f2(a104)),x36582)
% 191.25/191.44 [3665]E(f166(x36651,x36652,x36653,f118(x36651)),f118(x36652))
% 191.25/191.44 [3671]E(f329(f329(f167(x36711),f329(f329(f154(x36711),x36712),x36713)),f2(a908)),x36712)
% 191.25/191.44 [3701]E(f60(x37011,x37012,f118(x37011),x37013),f118(f915(x37011,x37012)))
% 191.25/191.44 [3722]P30(x37221,x37222,x37223,f191(f916(x37221,a903)))
% 191.25/191.44 [3825]E(f270(x38251,x38252,x38253),f329(f257(f916(a104,f916(a903,f912(f910(x38251)))),f915(a104,a104)),f42(x38251)))
% 191.25/191.44 [3883]E(f329(f74(x38831,x38832,x38831,x38833),f33(x38831)),x38833)
% 191.25/191.44 [4059]P1(f329(f329(f331(f915(x40591,x40591)),f329(f329(f257(x40591,x40591),x40592),x40592)),f309(x40591,x40593)))
% 191.25/191.44 [4668]~P1(f329(f329(f331(f915(f909(x46681),f909(x46681))),f329(f329(f257(f909(x46681),f909(x46681)),x46682),f118(x46681))),f148(x46681,x46683)))
% 191.25/191.44 [4669]~P1(f329(f329(f331(f915(f909(x46691),f909(x46691))),f329(f329(f257(f909(x46691),f909(x46691)),x46692),f118(x46691))),f150(x46691,x46693)))
% 191.25/191.44 [4670]~P1(f329(f329(f331(f915(f909(x46701),f909(x46701))),f329(f329(f257(f909(x46701),f909(x46701)),x46702),f118(x46701))),f160(x46701,x46703)))
% 191.25/191.44 [4671]~P1(f329(f329(f331(f915(f909(x46711),f909(x46711))),f329(f329(f257(f909(x46711),f909(x46711)),f118(x46711)),x46712)),f148(x46711,x46713)))
% 191.25/191.44 [4672]~P1(f329(f329(f331(f915(f909(x46721),f909(x46721))),f329(f329(f257(f909(x46721),f909(x46721)),f118(x46721)),x46722)),f160(x46721,x46723)))
% 191.25/191.44 [3409]E(f329(f329(f205(x34091),x34092),x34093),f206(x34091,f219(x34092,x34093)))
% 191.25/191.44 [3464]E(f329(f289(x34641,x34642),f329(f289(x34642,x34641),x34643)),x34643)
% 191.25/191.44 [3487]E(f329(f329(f184(x34871,x34872),f118(x34871)),x34873),f118(f915(x34871,x34872)))
% 191.25/191.44 [3490]E(f179(x34901,x34902,f329(f285(a908),x34903)),f329(f329(f178(x34901),x34903),x34902))
% 191.25/191.44 [3508]E(f155(x35081,f329(f139(x35081,x35082),x35083)),f329(f139(x35081,x35082),f155(x35081,x35083)))
% 191.25/191.44 [3509]E(f329(f287(x35091,x35092),f329(f289(x35092,x35091),x35093)),f329(f269(x35092,x35091),x35093))
% 191.25/191.44 [3510]E(f329(f269(x35101,x35102),f329(f289(x35102,x35101),x35103)),f329(f287(x35102,x35101),x35103))
% 191.25/191.44 [3528]E(f329(f139(x35281,x35282),f329(f171(x35281),x35283)),f329(f171(x35281),f329(f139(x35281,x35282),x35283)))
% 191.25/191.44 [3541]E(f329(f329(f141(x35411),x35412),f329(f174(x35411),x35413)),f329(f329(f141(x35411),f329(a117,x35412)),x35413))
% 191.25/191.44 [3557]E(f30(f28(x35571,x35572,x35573)),f329(f329(f82(a908),f30(x35573)),f329(a117,f2(a908))))
% 191.25/191.44 [3558]E(f329(f312(x35581,x35582,x35583),f191(f916(x35581,a903))),f191(f916(x35582,a903)))
% 191.25/191.44 [3559]E(f329(f288(x35591,x35592,x35593),f191(f916(x35591,a903))),f191(f916(x35592,a903)))
% 191.25/191.44 [3560]E(f329(f313(x35601,x35602,x35603),f191(f916(x35602,a903))),f191(f916(x35601,a903)))
% 191.25/191.44 [3561]E(f329(f313(x35611,x35612,x35613),f247(f916(x35612,a903))),f247(f916(x35611,a903)))
% 191.25/191.44 [3587]E(f329(f329(f311(x35871),x35872),f329(f175(x35871),x35873)),f329(f175(x35871),f143(x35871,x35872,x35873)))
% 191.25/191.44 [3675]E(f329(f192(a904),f28(x36751,x36752,x36753)),f329(f329(f82(a908),f329(f192(a904),x36753)),f329(a117,f2(a908))))
% 191.25/191.44 [3676]E(f329(f312(f915(x36761,x36762),x36762,f261(x36761,x36762)),x36763),f329(f287(x36761,x36762),x36763))
% 191.25/191.44 [3677]E(f329(f312(f915(x36771,x36772),x36771,f256(x36771,x36772)),x36773),f329(f269(x36771,x36772),x36773))
% 191.25/191.44 [3693]E(f329(f175(x36931),f172(x36931,f329(a117,x36932),x36933)),f329(f329(f311(x36931),x36933),f191(f916(x36931,a903))))
% 191.25/191.44 [3751]E(f329(f329(f257(x37511,x37512),f329(f256(x37511,x37512),x37513)),f329(f261(x37511,x37512),x37513)),x37513)
% 191.25/191.44 [3758]E(f329(f192(f910(x37581)),f130(x37581,x37582,x37583)),f329(f329(f82(a908),f329(f192(f910(x37581)),x37583)),f329(a117,f2(a908))))
% 191.25/191.44 [3759]E(f329(f329(f262(x37591,x37592,x37591),f16(x37591,x37592)),x37593),f329(f256(x37591,x37592),x37593))
% 191.25/191.44 [3838]E(f30(f29(x38381,x38382,x38383)),f329(f329(f82(a908),f329(f329(f82(a908),f30(x38382)),f30(x38383))),f329(a117,f2(a908))))
% 191.25/191.44 [3888]E(f329(f74(x38881,x38881,x38882,f33(x38881)),x38883),x38883)
% 191.25/191.44 [3895]E(f329(f329(f137(x38951),f172(x38951,x38952,x38953)),f329(f329(f154(x38951),x38953),f118(x38951))),f329(f329(f154(x38951),x38953),f172(x38951,x38952,x38953)))
% 191.25/191.44 [3995]E(f329(f192(a904),f29(x39951,x39952,x39953)),f329(f329(f82(a908),f329(f329(f82(a908),f329(f192(a904),x39952)),f329(f192(a904),x39953))),f329(a117,f2(a908))))
% 191.25/191.44 [4068]P1(f329(f329(f240(f916(x40681,a903)),f329(f175(x40681),f329(f139(x40681,x40682),x40683))),f329(f175(x40681),x40683)))
% 191.25/191.44 [4112]P1(f329(f329(f240(f916(x41121,a903)),f329(f175(x41121),f329(f329(f178(x41121),x41122),x41123))),f329(f175(x41121),x41123)))
% 191.25/191.44 [4113]P1(f329(f329(f240(f916(x41131,a903)),f329(f175(x41131),f329(f329(f141(x41131),x41132),x41133))),f329(f175(x41131),x41133)))
% 191.25/191.44 [4117]P1(f329(f329(f240(f916(x41171,a903)),f329(f175(x41171),f179(x41171,x41172,x41173))),f329(f175(x41171),x41172)))
% 191.25/191.44 [4118]P1(f329(f329(f240(f916(x41181,a903)),f329(f175(x41181),f173(x41181,x41182,x41183))),f329(f175(x41181),x41183)))
% 191.25/191.44 [4139]P30(f915(x41391,x41392),f915(x41392,x41391),f329(f262(x41391,x41392,f915(x41392,x41391)),f329(f7(x41392,x41391,f915(x41392,x41391)),f257(x41392,x41391))),x41393)
% 191.25/191.44 [4150]E(f329(f329(f329(f186(f909(x41501),f909(x41501)),f46(a908,x41502,f329(f192(f909(x41501)),x41503))),f170(x41501)),x41503),f329(f329(f329(f186(f909(x41501),f909(x41501)),x41502),f170(x41501)),x41503))
% 191.25/191.44 [4194]P1(f329(f329(f331(f915(f909(x41941),f909(x41941))),f329(f329(f257(f909(x41941),f909(x41941)),x41942),x41942)),f161(x41941,f309(x41941,x41943))))
% 191.25/191.44 [4333]E(f87(f915(x43331,x43332),f329(f329(f18(f915(x43331,x43332),x43332,a903),f329(f329(f8(x43331,f916(x43332,a903),f915(x43331,x43332)),x43333),f256(x43331,x43332))),f261(x43331,x43332))),f87(f915(x43331,x43332),f329(f262(x43331,x43332,a903),x43333)))
% 191.25/191.44 [4334]E(f92(f915(x43341,x43342),f329(f329(f18(f915(x43341,x43342),x43342,a903),f329(f329(f8(x43341,f916(x43342,a903),f915(x43341,x43342)),x43343),f256(x43341,x43342))),f261(x43341,x43342))),f92(f915(x43341,x43342),f329(f262(x43341,x43342,a903),x43343)))
% 191.25/191.44 [4367]E(f329(f329(f290(f915(a908,x43671),x43671),f321(a908,x43671,a245,x43672)),f329(f329(f18(x43671,x43671,f915(a908,x43671)),f329(f329(f8(a908,f916(x43671,f915(a908,x43671)),x43671),f257(a908,x43671)),x43673)),f5(x43671))),f323(x43671,x43673,x43672))
% 191.25/191.44 [4429]E(f329(f263(x44291,x44291,x44292,x44292,f5(x44291),f5(x44292)),x44293),x44293)
% 191.25/191.44 [4502]E(f329(f145(f909(f909(x45021)),f909(f909(x45021)),f137(f909(x45021)),f118(f909(x45021))),f329(f329(f157(f909(x45021),f909(f909(x45021))),f329(f329(f7(f909(x45021),f909(x45021),f909(f909(x45021))),f329(f329(f8(f916(x45021,f909(x45021)),f916(f909(x45021),f909(f909(x45021))),f909(x45021)),f157(x45021,f909(x45021))),f329(f7(x45021,f909(x45021),f909(x45021)),f154(x45021)))),x45022)),f56(x45021,x45023,x45022))),f56(x45021,f329(a117,x45023),x45022))
% 191.25/191.44 [4558]E(f227(a908,f915(x45581,f910(x45581)),f2(a908),f329(f262(x45581,f910(x45581),a908),f329(f329(f7(x45581,a908,f916(f910(x45581),a908)),f329(f329(f8(f916(f910(x45581),f916(a908,a908)),f916(a908,f916(f910(x45581),a908)),x45581),f7(f910(x45581),a908,a908)),f329(f329(f8(f916(f910(x45581),a908),f916(f910(x45581),f916(a908,a908)),x45581),f329(f8(a908,f916(a908,a908),f910(x45581)),f82(a908))),f329(f329(f7(x45581,f916(f910(x45581),a908),f916(f910(x45581),a908)),f329(f329(f8(f916(a908,a908),f916(f916(f910(x45581),a908),f916(f910(x45581),a908)),x45581),f8(a908,a908,f910(x45581))),f329(f329(f8(a908,f916(a908,a908),x45581),f82(a908)),x45582))),f129(x45581,x45582))))),f80(a908))),f329(f138(x45581),x45583)),f329(f129(x45581,x45582),x45583))
% 191.25/191.44 [4567]E(f329(f329(f88(a1,x45671),f222(f329(f329(f74(f915(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45672),f329(f329(f74(f915(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45673))),f329(f329(f18(a1,a1,x45671),f329(f329(f8(a1,f916(a1,x45671),a1),f205(x45671)),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f916(a1,a1),a1),f82(a1)),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f915(a1,a1),a1,x45671,f256(a1,a1)),f216(x45671)),x45672))),f329(f329(f7(a1,a1,a1),f37(a1)),f329(f329(f74(f915(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45672))))),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f915(a1,a1),a1,x45671,f256(a1,a1)),f216(x45671)),x45673))),f329(f329(f7(a1,a1,a1),f37(a1)),f329(f329(f74(f915(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45673)))))),f5(a1))),f234(x45671,x45672,x45673))
% 191.25/191.44 [4602]~E(f329(f329(f154(x46021),x46022),x46023),x46023)
% 191.25/191.44 [4609]~E(f329(f329(f154(x46091),x46092),x46093),f118(x46091))
% 191.25/191.44 [4627]~E(f329(f329(f311(x46271),x46272),x46273),f191(f916(x46271,a903)))
% 191.25/191.44 [4649]~E(f329(f312(x46491,f916(x46491,a903),x46492),x46493),f329(f310(x46491),x46493))
% 191.25/191.44 [3469]E(f329(f329(f162(x34691,f118(x34691)),x34692),x34693),f118(x34691))
% 191.25/191.44 [3470]E(f329(f144(x34701),f329(f329(f154(x34701),x34702),x34703)),x34702)
% 191.25/191.44 [3471]E(f329(f174(x34711),f329(f329(f154(x34711),x34712),x34713)),x34713)
% 191.25/191.44 [3514]E(f329(f329(f141(x35141),f80(a908)),f329(f329(f154(x35141),x35142),x35143)),x35143)
% 191.25/191.44 [3548]E(f119(x35481,f329(f329(f141(x35481),x35482),x35483)),f329(f329(f141(x35481),x35482),f119(x35481,x35483)))
% 191.25/191.44 [3550]E(f329(f329(f162(x35501,x35502),x35503),f329(f329(f167(x35501),x35502),x35503)),x35502)
% 191.25/191.44 [3571]E(f329(f329(f311(x35711),x35712),f329(f329(f311(x35711),x35712),x35713)),f329(f329(f311(x35711),x35712),x35713))
% 191.25/191.44 [3583]E(f329(f329(f311(x35831),x35832),f329(f175(x35831),x35833)),f329(f175(x35831),f329(f329(f154(x35831),x35832),x35833)))
% 191.25/191.44 [3585]E(f329(f329(f141(x35851),x35852),f329(f174(x35851),x35853)),f329(f174(x35851),f329(f329(f141(x35851),x35852),x35853)))
% 191.25/191.44 [3596]E(f329(f329(f178(x35961),f80(a908)),f329(f329(f154(x35961),x35962),x35963)),f329(f329(f154(x35961),x35962),f118(x35961)))
% 191.25/191.44 [3641]E(f329(f64(x36411,x36412),f329(f329(f311(x36411),x36413),f191(f916(x36411,a903)))),x36413)
% 191.26/191.44 [3683]E(f329(f329(f82(a908),x36831),f329(f329(f82(a908),x36832),x36833)),f329(f329(f82(a908),x36832),f329(f329(f82(a908),x36831),x36833)))
% 191.26/191.44 [3684]E(f329(f329(f82(a1),x36841),f329(f329(f82(a1),x36842),x36843)),f329(f329(f82(a1),x36842),f329(f329(f82(a1),x36841),x36843)))
% 191.26/191.44 [3689]E(f329(f329(f259(x36891,x36892),f191(f916(x36891,a903))),x36893),f191(f916(f915(x36891,x36892),a903)))
% 191.26/191.44 [3714]E(f329(f329(f115(f916(x37141,a903)),x37142),x37143),f329(f329(f115(f916(x37141,a903)),x37143),x37142))
% 191.26/191.44 [3715]E(f329(f329(f106(f916(x37151,a903)),x37152),x37153),f329(f329(f106(f916(x37151,a903)),x37153),x37152))
% 191.26/191.44 [3717]E(f329(f329(f137(x37171),x37172),f329(f329(f154(x37171),x37173),f118(x37171))),f329(f170(x37171),f329(f329(f154(x37171),x37173),x37172)))
% 191.26/191.44 [3718]E(f329(f329(f137(x37181),f329(f171(x37181),x37182)),f329(f171(x37181),x37183)),f329(f171(x37181),f329(f329(f137(x37181),x37183),x37182)))
% 191.26/191.44 [3728]E(f329(f174(x37281),f329(f329(f178(x37281),f329(a117,x37282)),x37283)),f329(f329(f178(x37281),x37282),f329(f174(x37281),x37283)))
% 191.26/191.44 [3736]P1(f329(f329(f331(x37361),x37362),f329(f329(f311(x37361),x37362),x37363)))
% 191.26/191.44 [3740]E(f329(f329(f41(x37401,f916(x37402,a903)),f191(f916(x37401,a903))),x37403),f247(f916(x37402,a903)))
% 191.26/191.44 [3743]E(f329(f288(x37431,x37431,f268(x37431,x37432)),x37433),f329(f329(f106(f916(x37431,a903)),x37432),x37433))
% 191.26/191.44 [3757]E(f329(f192(f909(x37571)),f329(f329(f154(x37571),x37572),x37573)),f329(f329(f82(a908),f329(f192(f909(x37571)),x37573)),f329(a117,f2(a908))))
% 191.26/191.44 [3761]E(f119(x37611,f329(f329(f137(x37611),x37612),f329(f329(f154(x37611),x37613),f118(x37611)))),x37612)
% 191.26/191.44 [3762]E(f147(x37621,f329(f329(f137(x37621),x37622),f329(f329(f154(x37621),x37623),f118(x37621)))),x37623)
% 191.26/191.44 [3771]E(f329(f329(f137(x37711),f329(f329(f178(x37711),x37712),x37713)),f329(f329(f141(x37711),x37712),x37713)),x37713)
% 191.26/191.44 [3780]E(f329(f329(f23(a908),f329(f329(f82(a908),x37801),x37802)),f329(f329(f82(a908),x37803),x37802)),f329(f329(f23(a908),x37801),x37803))
% 191.26/191.44 [3781]E(f329(f329(f23(a908),f329(f329(f82(a908),x37811),x37812)),f329(f329(f82(a908),x37811),x37813)),f329(f329(f23(a908),x37812),x37813))
% 191.26/191.44 [3787]E(f329(f329(f137(x37871),f329(f171(x37871),x37872)),f329(f329(f154(x37871),x37873),f118(x37871))),f329(f171(x37871),f329(f329(f154(x37871),x37873),x37872)))
% 191.26/191.44 [3789]E(f329(f329(f82(a908),f329(f192(f909(x37891)),x37892)),f329(f192(f909(x37891)),x37893)),f329(f192(f909(x37891)),f329(f329(f137(x37891),x37892),x37893)))
% 191.26/191.44 [3792]E(f329(f329(f82(a908),f329(f192(f909(x37921)),x37922)),f329(f192(f909(x37921)),x37923)),f329(f192(f909(x37921)),f176(x37921,x37922,x37923)))
% 191.26/191.44 [3800]E(f329(f329(f115(f916(x38001,a903)),f329(f175(x38001),x38002)),f329(f175(x38001),x38003)),f329(f175(x38001),f329(f329(f137(x38001),x38002),x38003)))
% 191.26/191.44 [3801]E(f46(a908,f329(f329(f83(a908),x38011),x38012),f329(f329(f83(a908),x38011),x38013)),f329(f329(f83(a908),x38011),f46(a908,x38012,x38013)))
% 191.26/191.44 [3813]E(f329(f329(f178(x38131),f329(f329(f23(a908),x38132),f80(a908))),f329(f174(x38131),x38133)),f329(f174(x38131),f329(f329(f178(x38131),x38132),x38133)))
% 191.26/191.44 [3818]E(f329(f329(f106(f916(x38181,a903)),x38182),f329(f81(f916(x38181,a903)),x38183)),f329(f329(f23(f916(x38181,a903)),x38182),x38183))
% 191.26/191.44 [3819]E(f329(f329(f23(f916(x38191,a903)),x38192),f329(f81(f916(x38191,a903)),x38193)),f329(f329(f106(f916(x38191,a903)),x38192),x38193))
% 191.26/191.44 [3842]E(f329(f329(f259(x38421,x38422),x38423),f329(f16(f916(x38422,a903),x38421),f191(f916(x38422,a903)))),f191(f916(f915(x38421,x38422),a903)))
% 191.26/191.44 [3844]E(f329(f329(f82(a908),f329(f329(f83(a908),x38441),x38442)),f329(f329(f83(a908),x38441),x38443)),f329(f329(f83(a908),x38441),f329(f329(f82(a908),x38442),x38443)))
% 191.26/191.44 [3845]E(f329(f329(f23(a908),f329(f329(f83(a908),x38451),x38452)),f329(f329(f83(a908),x38451),x38453)),f329(f329(f83(a908),x38451),f329(f329(f23(a908),x38452),x38453)))
% 191.26/191.44 [3846]E(f329(f329(f82(a1),f329(f329(f83(a1),x38461),x38462)),f329(f329(f83(a1),x38461),x38463)),f329(f329(f83(a1),x38461),f329(f329(f82(a1),x38462),x38463)))
% 191.26/191.44 [3847]E(f329(f329(f23(a1),f329(f329(f83(a1),x38471),x38472)),f329(f329(f83(a1),x38471),x38473)),f329(f329(f83(a1),x38471),f329(f329(f23(a1),x38472),x38473)))
% 191.26/191.44 [3848]E(f329(f329(f83(a1),f329(f329(f249(a1),x38481),x38482)),f329(f329(f249(a1),x38481),x38483)),f329(f329(f249(a1),x38481),f329(f329(f82(a908),x38482),x38483)))
% 191.26/191.44 [3862]E(f329(f329(f40(x38621,f916(x38622,a903)),x38623),f329(f16(f916(x38622,a903),x38621),f191(f916(x38622,a903)))),f191(f916(x38622,a903)))
% 191.26/191.44 [3864]E(f46(a908,f329(f329(f83(a908),x38641),x38642),f329(f329(f83(a908),x38643),x38642)),f329(f329(f83(a908),f46(a908,x38641,x38643)),x38642))
% 191.26/191.44 [3869]E(f46(a1,f329(f329(f23(a1),x38691),f46(a1,x38692,x38693)),x38693),f46(a1,f329(f329(f23(a1),x38691),x38692),x38693))
% 191.26/191.44 [3870]E(f46(a1,f329(f329(f83(a1),x38701),f46(a1,x38702,x38703)),x38703),f46(a1,f329(f329(f83(a1),x38701),x38702),x38703))
% 191.26/191.44 [3871]P1(f329(f329(f240(f916(x38711,a903)),x38712),f329(f329(f311(x38711),x38713),x38712)))
% 191.26/191.44 [3947]E(f329(f329(f41(f916(x39471,a903),f916(x39471,a903)),x39472),f329(f115(f916(x39471,a903)),x39473)),f329(f329(f115(f916(x39471,a903)),x39473),f39(f916(x39471,a903),x39472)))
% 191.26/191.44 [3948]E(f329(f329(f40(f916(x39481,a903),f916(x39481,a903)),x39482),f329(f106(f916(x39481,a903)),x39483)),f329(f329(f106(f916(x39481,a903)),x39483),f38(f916(x39481,a903),x39482)))
% 191.26/191.44 [3959]E(f329(f175(x39591),f329(f329(f329(f186(f909(x39591),f909(x39591)),x39592),f170(x39591)),x39593)),f329(f175(x39591),x39593))
% 191.26/191.44 [3963]E(f329(f329(f178(x39631),f329(f192(f909(x39631)),f180(x39631,x39632,x39633))),x39633),f180(x39631,x39632,x39633))
% 191.26/191.44 [3967]E(f329(f192(f909(x39671)),f329(f329(f329(f186(f909(x39671),f909(x39671)),x39672),f170(x39671)),x39673)),f329(f192(f909(x39671)),x39673))
% 191.26/191.44 [3970]E(f329(f329(f262(x39701,x39702,x39702),f329(f16(f916(x39702,x39702),x39701),f5(x39702))),x39703),f329(f261(x39701,x39702),x39703))
% 191.26/191.44 [3977]E(f46(a1,f329(f329(f23(a1),f46(a1,x39771,x39772)),x39773),x39772),f46(a1,f329(f329(f23(a1),x39771),x39773),x39772))
% 191.26/191.44 [3978]E(f46(a1,f329(f329(f249(a1),f46(a1,x39781,x39782)),x39783),x39782),f46(a1,f329(f329(f249(a1),x39781),x39783),x39782))
% 191.26/191.44 [3981]E(f329(f329(f40(f916(f915(x39811,x39812),a903),f916(x39812,a903)),x39813),f287(x39811,x39812)),f329(f287(x39811,x39812),f38(f916(f915(x39811,x39812),a903),x39813)))
% 191.26/191.44 [3982]E(f329(f329(f40(f916(f915(x39821,x39822),a903),f916(x39821,a903)),x39823),f269(x39821,x39822)),f329(f269(x39821,x39822),f38(f916(f915(x39821,x39822),a903),x39823)))
% 191.26/191.44 [4006]E(f329(f74(x40061,x40061,x40061,x40062),f329(f329(f186(x40061,x40061),x40063),x40062)),f329(f329(f186(x40061,x40061),f329(a117,x40063)),x40062))
% 191.26/191.44 [4024]E(f329(f329(f141(x40241),f329(f329(f23(a908),f329(f192(f909(x40241)),x40242)),x40243)),f329(f171(x40241),x40242)),f329(f171(x40241),f329(f329(f178(x40241),x40243),x40242)))
% 191.26/191.44 [4025]E(f329(f329(f178(x40251),f329(f329(f23(a908),f329(f192(f909(x40251)),x40252)),x40253)),f329(f171(x40251),x40252)),f329(f171(x40251),f329(f329(f141(x40251),x40253),x40252)))
% 191.26/191.44 [4027]E(f329(f329(f82(a908),f329(f168(a908),f329(f329(f157(x40271,a908),x40272),x40273))),f329(f192(f909(x40271)),x40273)),f158(x40271,x40272,x40273))
% 191.26/191.44 [4046]E(f329(f170(x40461),f329(f329(f329(f186(f909(x40461),f909(x40461)),x40462),f170(x40461)),x40463)),f329(f329(f329(f186(f909(x40461),f909(x40461)),f329(a117,x40462)),f170(x40461)),x40463))
% 191.26/191.44 [4060]P1(f329(f329(f240(a908),f329(f192(f909(x40601)),f329(f139(x40601,x40602),x40603))),f329(f192(f909(x40601)),x40603)))
% 191.26/191.44 [4076]E(f329(f329(f115(f916(f916(x40761,a903),a903)),f329(f310(x40761),x40762)),f329(f312(f916(x40761,a903),f916(x40761,a903),f329(f311(x40761),x40763)),f329(f310(x40761),x40762))),f329(f310(x40761),f329(f329(f311(x40761),x40763),x40762)))
% 191.26/191.44 [4095]P29(x40951,x40952,f329(f329(f311(f907(x40951)),f329(f329(f329(f93(x40951),x40953),a25),x40953)),f191(f916(f907(x40951),a903))))
% 191.26/191.44 [4109]P1(f329(f329(f240(a908),f329(f192(f909(x41091)),f180(x41091,x41092,x41093))),f329(f192(f909(x41091)),x41093)))
% 191.26/191.44 [4116]E(f329(f269(x41161,x41162),f329(f267(f915(x41161,x41162)),f329(f262(x41161,x41162,a903),x41163))),f329(f267(x41161),f329(f329(f8(f916(x41162,a903),a903,x41161),f89(x41162)),x41163)))
% 191.26/191.44 [4128]E(f329(f312(a908,a908,f329(f329(f7(a908,a908,a908),f82(a908)),x41281)),f305(a908,x41282,x41283)),f305(a908,f329(f329(f82(a908),x41282),x41281),f329(f329(f82(a908),x41283),x41281)))
% 191.26/191.44 [4142]E(f329(f312(a908,a908,f329(f329(f7(a908,a908,a908),f82(a908)),x41421)),f329(f304(a908,x41422),x41423)),f329(f304(a908,f329(f329(f82(a908),x41422),x41421)),f329(f329(f82(a908),x41423),x41421)))
% 191.26/191.44 [4160]E(f329(f329(f184(x41601,x41602),f329(f329(f157(f915(x41601,x41602),x41601),f256(x41601,x41602)),x41603)),f329(f329(f157(f915(x41601,x41602),x41602),f261(x41601,x41602)),x41603)),x41603)
% 191.26/191.44 [4165]E(f329(f329(f82(a908),f329(f329(f83(a908),x41651),f46(a908,f329(f329(f37(a908),x41652),x41651),x41653))),f46(a908,x41652,x41651)),f46(a908,x41652,f329(f329(f83(a908),x41651),x41653)))
% 191.26/191.44 [4178]E(f329(f329(f137(x41781),x41782),f329(f145(f909(x41781),f909(x41781),f137(x41781),f118(x41781)),x41783)),f329(f145(f909(x41781),f909(x41781),f137(x41781),x41782),x41783))
% 191.26/191.44 [4199]P1(f329(f329(f331(f915(x41991,x41991)),f329(f329(f257(x41991,x41991),x41992),x41992)),f329(f329(f186(f915(x41991,x41991),a903),f2(a908)),x41993)))
% 191.26/191.44 [4204]E(f329(f267(x42041),f329(f329(f8(f916(x42042,a903),a903,x42041),f89(x42042)),f329(f7(x42042,x42041,a903),x42043))),f329(f287(x42042,x42041),f329(f267(f915(x42042,x42041)),f329(f262(x42042,x42041,a903),x42043))))
% 191.26/191.44 [4221]E(f329(f329(f115(f916(x42211,a903)),f329(f329(f40(a908,f916(x42211,a903)),f305(a908,f80(a908),x42212)),x42213)),f329(x42213,f2(a908))),f329(f329(f40(a908,f916(x42211,a903)),f329(f303(a908),x42212)),x42213))
% 191.26/191.44 [4236]E(f329(f145(f909(x42361),f909(x42361),f137(x42361),f118(x42361)),f329(f329(f157(f909(x42361),f909(x42361)),f139(x42361,x42362)),x42363)),f329(f139(x42361,x42362),f329(f145(f909(x42361),f909(x42361),f137(x42361),f118(x42361)),x42363)))
% 191.26/191.44 [4240]E(f329(f261(f909(x42401),f909(x42401)),f169(x42401,x42402,x42403)),f329(f139(x42401,f329(f74(a903,a903,x42401,a324),x42402)),x42403))
% 191.26/191.44 [4285]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),x42851),f329(f329(f37(a1),x42852),x42851))),f46(a1,x42852,x42851))),x42853),f329(f329(f82(a1),x42852),x42853))
% 191.26/191.44 [4322]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f83(a1),f329(f329(f37(a1),x43221),x43222)),x43222)),f46(a1,x43221,x43222))),x43223),f329(f329(f82(a1),x43221),x43223))
% 191.26/191.44 [4348]E(f87(f915(x43481,x43482),f329(f262(x43481,x43482,a903),f329(f329(f8(f916(x43482,f915(x43481,x43482)),f916(x43482,a903),x43481),f329(f8(f915(x43481,x43482),a903,x43482),x43483)),f257(x43481,x43482)))),f87(f915(x43481,x43482),x43483))
% 191.26/191.44 [4349]E(f92(f915(x43491,x43492),f329(f262(x43491,x43492,a903),f329(f329(f8(f916(x43492,f915(x43491,x43492)),f916(x43492,a903),x43491),f329(f8(f915(x43491,x43492),a903,x43492),x43493)),f257(x43491,x43492)))),f92(f915(x43491,x43492),x43493))
% 191.26/191.44 [4376]P1(f329(f329(f240(f916(x43761,a903)),f38(f916(x43761,a903),f329(f329(f106(f916(f916(x43761,a903),a903)),x43762),x43763))),f329(f329(f106(f916(x43761,a903)),f38(f916(x43761,a903),x43762)),f38(f916(x43761,a903),x43763))))
% 191.26/191.44 [4377]E(f329(f171(x43771),f329(f329(f329(f186(f909(x43771),f909(x43771)),f329(f329(f23(a908),f329(f192(f909(x43771)),x43772)),f46(a908,x43773,f329(f192(f909(x43771)),x43772)))),f170(x43771)),x43772)),f329(f329(f329(f186(f909(x43771),f909(x43771)),x43773),f170(x43771)),f329(f171(x43771),x43772)))
% 191.26/191.44 [4414]P1(f329(f329(f240(a908),f329(f192(f909(x44141)),f329(f329(f141(x44141),f329(f192(f909(x44141)),f180(x44141,x44142,x44143))),x44143))),f329(f192(f909(x44141)),x44143)))
% 191.26/191.44 [4661]~P1(f329(f63(x46611,x46612,f191(f916(x46611,a903))),x46613))
% 191.26/191.44 [4667]~P1(f329(f329(f331(f915(x46671,x46671)),f329(f329(f257(x46671,x46671),x46672),x46673)),f156(x46671,f118(f916(x46671,a908)))))
% 191.26/191.44 [3729]E(f329(f192(f909(x37291)),f329(f329(f178(x37291),x37292),x37293)),f329(f329(f238(a908),f329(f192(f909(x37291)),x37293)),x37292))
% 191.26/191.44 [3730]E(f329(f192(f909(x37301)),f329(f329(f141(x37301),x37302),x37303)),f329(f329(f23(a908),f329(f192(f909(x37301)),x37303)),x37302))
% 191.26/191.44 [3756]E(f329(f192(f909(f909(x37561))),f56(x37561,x37562,x37563)),f329(f329(f249(a908),f329(f192(f909(x37561)),x37563)),x37562))
% 191.26/191.44 [3773]E(f329(f329(f37(a908),f329(f329(f37(a908),x37731),x37732)),x37733),f329(f329(f37(a908),x37731),f329(f329(f83(a908),x37732),x37733)))
% 191.26/191.44 [3774]E(f329(f329(f82(a908),f329(f329(f82(a908),x37741),x37742)),x37743),f329(f329(f82(a908),x37741),f329(f329(f82(a908),x37742),x37743)))
% 191.26/191.44 [3775]E(f329(f329(f82(a1),f329(f329(f82(a1),x37751),x37752)),x37753),f329(f329(f82(a1),x37751),f329(f329(f82(a1),x37752),x37753)))
% 191.26/191.44 [3776]E(f329(f329(f23(a908),f329(f329(f23(a908),x37761),x37762)),x37763),f329(f329(f23(a908),x37761),f329(f329(f82(a908),x37762),x37763)))
% 191.26/191.44 [3777]E(f329(f329(f83(a908),f329(f329(f83(a908),x37771),x37772)),x37773),f329(f329(f83(a908),x37771),f329(f329(f83(a908),x37772),x37773)))
% 191.26/191.44 [3778]E(f329(f329(f83(a1),f329(f329(f83(a1),x37781),x37782)),x37783),f329(f329(f83(a1),x37781),f329(f329(f83(a1),x37782),x37783)))
% 191.26/191.44 [3779]E(f329(f329(f249(a1),f329(f329(f249(a1),x37791),x37792)),x37793),f329(f329(f249(a1),x37791),f329(f329(f83(a908),x37792),x37793)))
% 191.26/191.44 [3798]E(f165(x37981,f329(f329(f154(f916(x37981,a903)),x37982),x37983)),f177(x37981,x37982,f165(x37981,x37983)))
% 191.26/191.44 [3843]E(f329(f329(f23(a908),f329(f329(f23(a908),x38431),x38432)),x38433),f329(f329(f23(a908),f329(f329(f23(a908),x38431),x38433)),x38432))
% 191.26/191.44 [3851]E(f329(f329(f106(f916(x38511,a903)),x38512),f329(f329(f23(f916(x38511,a903)),x38513),x38512)),f191(f916(x38511,a903)))
% 191.26/191.44 [3855]E(f329(f329(f157(a908,x38551),f329(f16(x38551,a908),x38552)),f142(a908,f329(f304(a908,f2(a908)),x38553))),f172(x38551,x38553,x38552))
% 191.26/191.44 [3893]E(f39(f916(x38931,a903),f329(f329(f311(f916(x38931,a903)),x38932),x38933)),f329(f329(f106(f916(x38931,a903)),x38932),f39(f916(x38931,a903),x38933)))
% 191.26/191.44 [3894]E(f38(f916(x38941,a903),f329(f329(f311(f916(x38941,a903)),x38942),x38943)),f329(f329(f115(f916(x38941,a903)),x38942),f38(f916(x38941,a903),x38943)))
% 191.26/191.44 [3896]E(f172(x38961,f329(f192(f909(x38961)),f329(f139(x38961,f329(a326,x38962)),x38963)),x38962),f329(f139(x38961,f329(a326,x38962)),x38963))
% 191.26/191.44 [3898]E(f329(f329(f82(a908),f329(f329(f83(a908),x38981),x38982)),f329(f329(f83(a908),x38983),x38982)),f329(f329(f83(a908),f329(f329(f82(a908),x38981),x38983)),x38982))
% 191.26/191.44 [3899]E(f329(f329(f23(a908),f329(f329(f83(a908),x38991),x38992)),f329(f329(f83(a908),x38993),x38992)),f329(f329(f83(a908),f329(f329(f23(a908),x38991),x38993)),x38992))
% 191.26/191.44 [3900]E(f329(f329(f82(a1),f329(f329(f83(a1),x39001),x39002)),f329(f329(f83(a1),x39003),x39002)),f329(f329(f83(a1),f329(f329(f82(a1),x39001),x39003)),x39002))
% 191.26/191.44 [3902]E(f329(f329(f23(a1),f329(f329(f83(a1),x39021),x39022)),f329(f329(f83(a1),x39023),x39022)),f329(f329(f83(a1),f329(f329(f23(a1),x39021),x39023)),x39022))
% 191.26/191.44 [3903]E(f329(f329(f238(a908),f329(f329(f23(a908),x39031),x39032)),f329(f329(f23(a908),x39033),x39032)),f329(f329(f23(a908),f329(f329(f238(a908),x39031),x39033)),x39032))
% 191.26/191.44 [3925]E(f329(f329(f106(f916(f909(x39251),a903)),f163(x39251,x39252)),f163(x39251,x39253)),f163(x39251,f329(f329(f106(f916(x39251,a903)),x39252),x39253)))
% 191.26/191.44 [3928]E(f329(f329(f115(f916(x39281,a903)),x39282),f329(f329(f115(f916(x39281,a903)),x39282),x39283)),f329(f329(f115(f916(x39281,a903)),x39282),x39283))
% 191.26/191.44 [3929]E(f329(f329(f115(f916(x39291,a903)),x39292),f329(f329(f23(f916(x39291,a903)),x39293),x39292)),f329(f329(f115(f916(x39291,a903)),x39292),x39293))
% 191.26/191.44 [3930]E(f329(f329(f106(f916(x39301,a903)),x39302),f329(f329(f106(f916(x39301,a903)),x39302),x39303)),f329(f329(f106(f916(x39301,a903)),x39302),x39303))
% 191.26/191.44 [3942]E(f329(f329(f291(x39421,x39422,x39422),x39423),f309(x39422,f191(f916(f915(x39422,x39422),a903)))),x39423)
% 191.26/191.44 [3945]E(f329(f329(f115(f916(x39451,a903)),f329(f329(f311(x39451),x39452),f191(f916(x39451,a903)))),x39453),f329(f329(f311(x39451),x39452),x39453))
% 191.26/191.44 [3962]E(f329(f329(f23(a908),f329(f329(f23(a908),f329(a117,x39621)),x39622)),f329(a117,x39623)),f329(f329(f23(a908),f329(f329(f23(a908),x39621),x39622)),x39623))
% 191.26/191.44 [3990]E(f329(f329(f106(f916(f916(x39901,a903),a903)),f329(f310(x39901),x39902)),f329(f310(x39901),x39903)),f329(f310(x39901),f329(f329(f106(f916(x39901,a903)),x39902),x39903)))
% 191.26/191.44 [3993]E(f329(f329(f115(f916(x39931,a903)),f329(f81(f916(x39931,a903)),x39932)),x39933),f329(f81(f916(x39931,a903)),f329(f329(f23(f916(x39931,a903)),x39932),x39933)))
% 191.26/191.44 [4003]E(f329(f329(f311(x40031),x40032),f329(f329(f23(f916(x40031,a903)),x40033),f329(f329(f311(x40031),x40032),f191(f916(x40031,a903))))),f329(f329(f311(x40031),x40032),x40033))
% 191.26/191.44 [4013]P1(f329(f329(f240(f916(x40131,a903)),x40132),f329(f329(f115(f916(x40131,a903)),x40133),x40132)))
% 191.26/191.44 [4014]P1(f329(f329(f240(f916(x40141,a903)),x40142),f329(f329(f115(f916(x40141,a903)),x40142),x40143)))
% 191.26/191.44 [4018]E(f329(f329(f106(f916(x40181,a903)),f329(f81(f916(x40181,a903)),x40182)),f329(f81(f916(x40181,a903)),x40183)),f329(f81(f916(x40181,a903)),f329(f329(f115(f916(x40181,a903)),x40182),x40183)))
% 191.26/191.44 [4019]E(f329(f329(f115(f916(x40191,a903)),f329(f81(f916(x40191,a903)),x40192)),f329(f81(f916(x40191,a903)),x40193)),f329(f81(f916(x40191,a903)),f329(f329(f106(f916(x40191,a903)),x40192),x40193)))
% 191.26/191.44 [4032]P1(f329(f329(f240(f916(x40321,a903)),f329(f175(x40321),x40322)),f329(f175(x40321),f329(f329(f154(x40321),x40323),x40322))))
% 191.26/191.44 [4044]E(f329(f329(f115(f916(x40441,a903)),f329(f329(f23(f916(x40441,a903)),x40442),x40443)),f329(f329(f106(f916(x40441,a903)),x40442),x40443)),x40442)
% 191.26/191.44 [4097]E(f329(f329(f9(x40971,a1),f329(f329(f8(a908,a1,x40971),f105(a1)),x40972)),x40973),f329(f105(a1),f329(f329(f9(x40971,a908),x40972),x40973)))
% 191.26/191.44 [4098]E(f329(f329(f6(x40981,a1),f329(f329(f8(a908,a1,x40981),f105(a1)),x40982)),x40983),f329(f105(a1),f329(f329(f6(x40981,a908),x40982),x40983)))
% 191.26/191.44 [4144]E(f329(f329(f137(x41441),f180(x41441,x41442,x41443)),f329(f329(f141(x41441),f329(f192(f909(x41441)),f180(x41441,x41442,x41443))),x41443)),x41443)
% 191.26/191.44 [4148]E(f329(f81(f916(f915(x41481,x41482),a903)),f329(f329(f259(x41481,x41482),x41483),f329(f16(f916(x41482,a903),x41481),f247(f916(x41482,a903))))),f329(f329(f259(x41481,x41482),f329(f81(f916(x41481,a903)),x41483)),f329(f16(f916(x41482,a903),x41481),f247(f916(x41482,a903)))))
% 191.26/191.44 [4149]E(f329(f81(f916(f915(x41491,x41492),a903)),f329(f329(f259(x41491,x41492),f247(f916(x41491,a903))),f329(f16(f916(x41492,a903),x41491),x41493))),f329(f329(f259(x41491,x41492),f247(f916(x41491,a903))),f329(f16(f916(x41492,a903),x41491),f329(f81(f916(x41492,a903)),x41493))))
% 191.26/191.45 [4200]E(f329(f329(f40(f916(x42001,a903),f916(x42001,a903)),x42002),f329(f329(f7(f916(x42001,a903),f916(x42001,a903),f916(x42001,a903)),f106(f916(x42001,a903))),x42003)),f329(f329(f106(f916(x42001,a903)),f38(f916(x42001,a903),x42002)),x42003))
% 191.26/191.45 [4206]E(f329(f145(f909(x42061),f909(x42061),f137(x42061),f118(x42061)),f329(f329(f154(f909(x42061)),x42062),x42063)),f329(f329(f137(x42061),x42062),f329(f145(f909(x42061),f909(x42061),f137(x42061),f118(x42061)),x42063)))
% 191.26/191.45 [4227]E(f329(f329(f311(f916(x42271,a903)),f329(f288(x42271,x42271,x42272),f329(f329(f311(x42271),x42273),f191(f916(x42271,a903))))),f191(f916(f916(x42271,a903),a903))),f329(f329(f61(x42271),f329(f329(f311(x42271),x42273),f191(f916(x42271,a903)))),x42272))
% 191.26/191.45 [4237]E(f329(f329(f82(a908),f329(f329(f83(a908),x42371),f329(f329(f37(a908),x42372),x42373))),f329(f329(f37(a908),f329(f329(f83(a908),x42371),f46(a908,x42372,x42373))),x42373)),f329(f329(f37(a908),f329(f329(f83(a908),x42371),x42372)),x42373))
% 191.26/191.45 [4238]E(f329(f329(f82(a1),f329(f329(f83(a1),x42381),f329(f329(f37(a1),x42382),x42383))),f329(f329(f37(a1),f329(f329(f83(a1),x42381),f46(a1,x42382,x42383))),x42383)),f329(f329(f37(a1),f329(f329(f83(a1),x42381),x42382)),x42383))
% 191.26/191.45 [4270]E(f329(f329(f23(f916(x42701,a903)),f329(f175(x42701),x42702)),f329(f329(f311(x42701),x42703),f191(f916(x42701,a903)))),f329(f175(x42701),f329(f139(x42701,f329(f329(f8(a903,a903,x42701),a324),f329(a326,x42703))),x42702)))
% 191.26/191.45 [4320]E(f329(f329(f137(x43201),f329(f145(f909(x43201),f909(x43201),f137(x43201),f118(x43201)),x43202)),f329(f145(f909(x43201),f909(x43201),f137(x43201),f118(x43201)),x43203)),f329(f145(f909(x43201),f909(x43201),f137(x43201),f118(x43201)),f329(f329(f137(f909(x43201)),x43202),x43203)))
% 191.26/191.45 [4323]E(f329(f329(f257(f909(x43231),f909(x43231)),f329(f139(x43231,x43232),x43233)),f329(f139(x43231,f329(f74(a903,a903,x43231,a324),x43232)),x43233)),f169(x43231,x43232,x43233))
% 191.26/191.45 [4326]E(f329(f329(f82(a908),f329(f329(f82(a908),f329(f329(f37(a908),x43261),x43262)),f329(f329(f37(a908),x43263),x43262))),f329(f329(f37(a908),f329(f329(f82(a908),f46(a908,x43261,x43262)),f46(a908,x43263,x43262))),x43262)),f329(f329(f37(a908),f329(f329(f82(a908),x43261),x43263)),x43262))
% 191.26/191.45 [4327]E(f329(f329(f82(a1),f329(f329(f82(a1),f329(f329(f37(a1),x43271),x43272)),f329(f329(f37(a1),x43273),x43272))),f329(f329(f37(a1),f329(f329(f82(a1),f46(a1,x43271,x43272)),f46(a1,x43273,x43272))),x43272)),f329(f329(f37(a1),f329(f329(f82(a1),x43271),x43273)),x43272))
% 191.26/191.45 [4380]E(f329(f329(f106(f916(f909(x43801),a903)),f329(f329(f7(f909(x43801),f916(f909(x43801),a903),a903),f331(f909(x43801))),f164(x43801,x43802))),f329(f329(f7(f909(x43801),f916(f909(x43801),a903),a903),f331(f909(x43801))),f164(x43801,x43803))),f163(x43801,f329(f329(f106(f916(x43801,a903)),f329(f329(f7(x43801,f916(x43801,a903),a903),f331(x43801)),x43802)),f329(f329(f7(x43801,f916(x43801,a903),a903),f331(x43801)),x43803))))
% 191.26/191.45 [4392]E(f329(f267(x43921),f329(f329(f18(x43921,a903,a903),f329(f329(f8(a903,f916(a903,a903),x43921),a328),f329(f329(f7(x43921,x43921,a903),a326),x43922))),f329(f329(f7(x43921,f916(x43921,a903),a903),f331(x43921)),x43923))),f329(f329(f311(x43921),x43922),x43923))
% 191.26/191.45 [4412]E(f329(f329(f88(f909(f909(x44121)),f909(f909(x44121))),f55(x44121,x44122)),f329(f329(f18(f909(f909(x44121)),f909(f909(x44121)),f909(f909(x44121))),f329(f329(f8(f909(f909(x44121)),f916(f909(f909(x44121)),f909(f909(x44121))),f909(f909(x44121))),f137(f909(x44121))),f329(f157(f909(x44121),f909(x44121)),f329(f154(x44121),x44123)))),f5(f909(f909(x44121))))),f55(x44121,f329(f329(f154(x44121),x44123),x44122)))
% 191.26/191.45 [4415]E(f329(f267(x44151),f329(f329(f18(x44151,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44151),a328),f329(f329(f7(x44151,f916(x44151,a903),a903),f331(x44151)),x44152))),f329(f329(f7(x44151,f916(x44151,a903),a903),f331(x44151)),x44153))),f329(f329(f115(f916(x44151,a903)),x44152),x44153))
% 191.26/191.45 [4416]E(f329(f267(x44161),f329(f329(f18(x44161,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44161),a327),f329(f329(f7(x44161,f916(x44161,a903),a903),f331(x44161)),x44162))),f329(f329(f7(x44161,f916(x44161,a903),a903),f331(x44161)),x44163))),f329(f329(f106(f916(x44161,a903)),x44162),x44163))
% 191.26/191.45 [4505]E(f329(f329(f40(x45051,f916(f916(x45051,a903),a903)),x45052),f329(f329(f7(x45051,f916(f916(x45051,a903),a903),f916(f916(x45051,a903),a903)),f329(f329(f8(f916(x45051,a903),f916(f916(f916(x45051,a903),a903),f916(f916(x45051,a903),a903)),x45051),f311(f916(x45051,a903))),f329(f329(f8(f916(x45051,a903),f916(x45051,a903),x45051),f288(x45051,x45051,x45053)),f329(f329(f7(x45051,f916(x45051,a903),f916(x45051,a903)),f311(x45051)),f191(f916(x45051,a903)))))),f191(f916(f916(x45051,a903),a903)))),f329(f329(f61(x45051),x45052),x45053))
% 191.26/191.45 [4507]E(f329(f329(f205(x45071),f329(f329(f83(a1),f329(f329(f74(f915(a1,a1),a1,x45071,f256(a1,a1)),f216(x45071)),x45072)),f329(f329(f74(f915(a1,a1),a1,x45071,f256(a1,a1)),f216(x45071)),x45073))),f329(f329(f83(a1),f329(f329(f74(f915(a1,a1),a1,x45071,f261(a1,a1)),f216(x45071)),x45072)),f329(f329(f74(f915(a1,a1),a1,x45071,f261(a1,a1)),f216(x45071)),x45073))),f232(x45071,x45072,x45073))
% 191.26/191.45 [4510]E(f329(f267(f909(x45101)),f329(f329(f18(f909(x45101),a903,a903),f329(f329(f8(a903,f916(a903,a903),f909(x45101)),a327),f329(f329(f7(f909(x45101),a908,a903),f329(f329(f8(a908,f916(a908,a903),f909(x45101)),a326),f192(f909(x45101)))),x45102))),f329(f329(f7(f909(x45101),f916(x45101,a903),a903),f329(f329(f8(f916(x45101,a903),f916(f916(x45101,a903),a903),f909(x45101)),f240(f916(x45101,a903))),f175(x45101))),f329(f175(x45101),x45103)))),f329(f175(f909(x45101)),f56(x45101,x45102,x45103)))
% 191.26/191.45 [3916]E(f46(a908,f329(f329(f82(a908),f329(f329(f83(a908),x39161),x39162)),x39163),x39162),f46(a908,x39163,x39162))
% 191.26/191.45 [3961]E(f142(a908,f329(f304(a908,f329(f329(f82(a908),x39611),x39612)),x39613)),f329(f329(f141(a908),x39612),f142(a908,f329(f304(a908,x39611),x39613))))
% 191.26/191.45 [4002]E(f329(f329(f82(a1),f329(f105(a1),x40021)),f329(f329(f82(a1),f329(f105(a1),x40022)),x40023)),f329(f329(f82(a1),f329(f105(a1),f329(f329(f82(a908),x40021),x40022))),x40023))
% 191.26/191.45 [4009]E(f329(f329(f115(f916(x40091,a903)),f329(f329(f23(f916(x40091,a903)),x40092),x40093)),x40093),f329(f329(f115(f916(x40091,a903)),x40092),x40093))
% 191.26/191.45 [4010]E(f329(f329(f23(f916(x40101,a903)),f329(f329(f23(f916(x40101,a903)),x40102),x40103)),x40103),f329(f329(f23(f916(x40101,a903)),x40102),x40103))
% 191.26/191.45 [4033]E(f329(f329(f291(x40331,x40331,x40332),f309(x40331,f191(f916(f915(x40331,x40331),a903)))),x40333),x40333)
% 191.26/191.45 [4041]E(f329(f329(f115(f916(x40411,a903)),f329(f284(x40411),x40412)),f329(f284(x40411),x40413)),f329(f284(x40411),f329(f329(f115(f916(f915(x40411,x40411),a903)),x40412),x40413)))
% 191.26/191.45 [4051]E(f271(x40511,f329(f329(f154(f915(a104,x40511)),f329(f329(f257(a104,x40511),f2(a104)),x40512)),x40513)),f271(x40511,x40513))
% 191.26/191.45 [4053]E(f329(f329(f106(f916(x40531,a903)),f39(f916(x40531,a903),x40532)),f39(f916(x40531,a903),x40533)),f39(f916(x40531,a903),f329(f329(f115(f916(f916(x40531,a903),a903)),x40532),x40533)))
% 191.26/191.45 [4054]E(f329(f329(f115(f916(x40541,a903)),f38(f916(x40541,a903),x40542)),f38(f916(x40541,a903),x40543)),f38(f916(x40541,a903),f329(f329(f115(f916(f916(x40541,a903),a903)),x40542),x40543)))
% 191.26/191.45 [4091]E(f329(f329(f291(x40911,x40911,x40911),f329(f329(f186(f915(x40911,x40911),a903),x40912),x40913)),x40913),f329(f329(f186(f915(x40911,x40911),a903),f329(a117,x40912)),x40913))
% 191.26/191.45 [4136]P1(f329(f329(f240(f916(x41361,a903)),f329(f329(f23(f916(x41361,a903)),x41362),x41363)),x41362))
% 191.26/191.45 [4137]P1(f329(f329(f240(f916(x41371,a903)),f329(f329(f106(f916(x41371,a903)),x41372),x41373)),x41373))
% 191.26/191.45 [4138]P1(f329(f329(f240(f916(x41381,a903)),f329(f329(f106(f916(x41381,a903)),x41382),x41383)),x41382))
% 191.26/191.45 [4162]E(f309(x41621,f329(f329(f115(f916(f915(x41621,x41621),a903)),f309(x41621,x41622)),f309(x41621,x41623))),f309(x41621,f329(f329(f115(f916(f915(x41621,x41621),a903)),x41622),x41623)))
% 191.26/191.45 [4166]E(f38(f916(x41661,a903),f329(f329(f311(f916(x41661,a903)),x41662),f329(f329(f311(f916(x41661,a903)),x41663),f191(f916(f916(x41661,a903),a903))))),f329(f329(f115(f916(x41661,a903)),x41662),x41663))
% 191.26/191.45 [4167]E(f39(f916(x41671,a903),f329(f329(f311(f916(x41671,a903)),x41672),f329(f329(f311(f916(x41671,a903)),x41673),f191(f916(f916(x41671,a903),a903))))),f329(f329(f106(f916(x41671,a903)),x41672),x41673))
% 191.26/191.45 [4172]E(f329(f329(f291(x41721,x41721,x41721),f329(f329(f186(f915(x41721,x41721),a903),x41722),x41723)),x41723),f329(f329(f291(x41721,x41721,x41721),x41723),f329(f329(f186(f915(x41721,x41721),a903),x41722),x41723)))
% 191.26/191.45 [4241]E(f329(f329(f115(f916(x42411,a903)),f329(f267(x42411),f329(f329(f7(x42411,x42411,a903),a326),x42412))),x42413),f329(f329(f311(x42411),x42412),x42413))
% 191.26/191.45 [4243]E(f329(a109,f329(f329(f9(x42431,a1),f329(f329(f8(a908,a1,x42431),f105(a1)),x42432)),x42433)),f329(f329(f9(x42431,a908),x42432),x42433))
% 191.26/191.45 [4244]E(f329(a109,f329(f329(f6(x42441,a1),f329(f329(f8(a908,a1,x42441),f105(a1)),x42442)),x42443)),f329(f329(f6(x42441,a908),x42442),x42443))
% 191.26/191.45 [4317]E(f329(f159(f909(x43171),x43171,f329(f174(x43171),x43172),f329(f16(f916(f909(x43171),f909(x43171)),x43171),f329(f329(f7(f909(x43171),f909(x43171),f909(x43171)),f137(x43171)),x43172))),x43173),f329(f174(x43171),f329(f329(f137(x43171),x43173),x43172)))
% 191.26/191.45 [4345]P1(f329(f329(f240(f916(f916(x43451,a903),a903)),f329(f329(f115(f916(f916(x43451,a903),a903)),f329(f310(x43451),x43452)),f329(f310(x43451),x43453))),f329(f310(x43451),f329(f329(f115(f916(x43451,a903)),x43452),x43453))))
% 191.26/191.45 [4434]E(f329(f267(x44341),f329(f329(f18(x44341,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44341),a327),f329(f329(f7(x44341,f916(x44341,a903),a903),f331(x44341)),x44342))),f329(f329(f8(a903,a903,x44341),a324),f329(f329(f7(x44341,f916(x44341,a903),a903),f331(x44341)),x44343)))),f329(f329(f23(f916(x44341,a903)),x44342),x44343))
% 191.26/191.45 [4458]E(f329(f36(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,a908,a903),f241(a908)),f329(f192(f909(x44581)),x44582)))),f329(f329(f8(x44581,a903,a908),x44583),f329(f167(x44581),x44582))))),f329(f192(f909(x44581)),f329(f139(x44581,x44583),x44582)))
% 191.26/191.45 [4460]E(f329(f192(f909(x44601)),f179(x44601,x44602,x44603)),f329(f36(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,a908,a903),f241(a908)),f329(f192(f909(x44601)),x44602)))),f329(f329(f7(a908,f916(a908,a903),a903),f331(a908)),x44603)))))
% 191.26/191.45 [4556]E(f329(f329(f106(f916(f915(f909(x45561),f909(x45561)),a903)),f329(f312(f915(f915(x45561,f909(x45561)),f915(x45561,f909(x45561))),f915(f909(x45561),f909(x45561)),f263(f915(x45561,f909(x45561)),f909(x45561),f915(x45561,f909(x45561)),f909(x45561),f329(f262(x45561,f909(x45561),f909(x45561)),f154(x45561)),f329(f262(x45561,f909(x45561),f909(x45561)),f154(x45561)))),f321(x45561,f909(x45561),x45562,f329(f146(x45561,x45562),x45563)))),f329(f267(f915(f909(x45561),f909(x45561))),f329(f262(f909(x45561),f909(x45561),a903),f329(f329(f7(f909(x45561),f916(f909(x45561),a903),f916(f909(x45561),a903)),f329(f329(f8(f916(a903,a903),f916(f916(f909(x45561),a903),f916(f909(x45561),a903)),f909(x45561)),f8(a903,a903,f909(x45561))),f329(f329(f8(a903,f916(a903,a903),f909(x45561)),a327),f329(f329(f7(f909(x45561),a908,a903),f329(f329(f8(a908,f916(a908,a903),f909(x45561)),a326),f192(f909(x45561)))),f329(a117,x45563))))),f329(f329(f7(f909(x45561),a908,a903),f329(f329(f8(a908,f916(a908,a903),f909(x45561)),a326),f192(f909(x45561)))),f329(a117,x45563)))))),f329(f146(x45561,x45562),f329(a117,x45563)))
% 191.26/191.45 [4055]E(f46(a908,f329(a117,f329(f329(f82(a908),f329(f329(f83(a908),x40551),x40552)),x40553)),x40552),f46(a908,f329(a117,x40553),x40552))
% 191.26/191.45 [4303]E(f329(f267(x43031),f329(f329(f18(x43031,a903,a903),f329(f329(f8(a903,f916(a903,a903),x43031),a327),x43032)),x43033)),f329(f329(f106(f916(x43031,a903)),f329(f267(x43031),x43032)),f329(f267(x43031),x43033)))
% 191.26/191.45 [4304]E(f329(f267(x43041),f329(f329(f18(x43041,a903,a903),f329(f329(f8(a903,f916(a903,a903),x43041),a328),x43042)),x43043)),f329(f329(f115(f916(x43041,a903)),f329(f267(x43041),x43042)),f329(f267(x43041),x43043)))
% 191.26/191.45 [4306]E(f329(f329(f137(x43061),f329(f329(f141(x43061),f46(a908,x43062,f329(f192(f909(x43061)),x43063))),x43063)),f329(f329(f178(x43061),f46(a908,x43062,f329(f192(f909(x43061)),x43063))),x43063)),f329(f329(f329(f186(f909(x43061),f909(x43061)),x43062),f170(x43061)),x43063))
% 191.26/191.45 [4312]E(f329(f267(x43121),f329(f329(f18(x43121,a903,a903),f329(f329(f8(a903,f916(a903,a903),x43121),a332),x43122)),x43123)),f329(f329(f115(f916(x43121,a903)),f329(f81(f916(x43121,a903)),f329(f267(x43121),x43122))),f329(f267(x43121),x43123)))
% 191.26/191.45 [4328]E(f329(f329(f82(a908),f329(f192(f909(x43281)),f329(f139(x43281,x43282),x43283))),f329(f192(f909(x43281)),f329(f139(x43281,f329(f329(f8(a903,a903,x43281),a324),x43282)),x43283))),f329(f192(f909(x43281)),x43283))
% 191.26/191.45 [4351]P1(f329(f329(f240(f916(x43511,a903)),f329(f329(f115(f916(x43511,a903)),f39(f916(x43511,a903),x43512)),f39(f916(x43511,a903),x43513))),f39(f916(x43511,a903),f329(f329(f106(f916(f916(x43511,a903),a903)),x43512),x43513))))
% 191.26/191.45 [4365]E(f329(f175(x43651),f329(f139(x43651,f329(f329(f8(a903,a903,x43651),a324),f329(f329(f7(x43651,x43651,a903),a326),x43652))),x43653)),f329(f329(f23(f916(x43651,a903)),f329(f175(x43651),x43653)),f329(f329(f311(x43651),x43652),f191(f916(x43651,a903)))))
% 191.26/191.45 [4374]P1(f329(f329(f240(f916(f915(x43741,x43741),a903)),f329(f329(f115(f916(f915(x43741,x43741),a903)),f309(x43741,x43742)),f309(x43741,x43743))),f309(x43741,f329(f329(f115(f916(f915(x43741,x43741),a903)),x43742),x43743))))
% 191.26/191.45 [4397]E(f329(f329(f83(a908),f329(a117,f329(a117,f2(a908)))),f329(f329(f6(a908,a908),f329(f329(f8(a908,a908,a908),f329(f82(a908),x43971)),f329(f329(f7(a908,a908,a908),f83(a908)),x43972))),f329(f285(a908),x43973))),f329(f329(f83(a908),x43973),f329(f329(f82(a908),x43971),f329(f329(f82(a908),x43971),f329(f329(f83(a908),f329(f329(f23(a908),x43973),f80(a908))),x43972)))))
% 191.26/191.45 [4407]E(f329(f267(x44071),f329(f329(f18(x44071,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44071),a327),f329(f329(f7(x44071,f916(x44071,a903),a903),f331(x44071)),f329(f175(x44071),x44072)))),x44073)),f329(f175(x44071),f329(f139(x44071,x44073),x44072)))
% 191.26/191.45 [4555]E(f329(f267(x45551),f329(f329(f8(f916(a908,a903),a903,x45551),f89(a908)),f329(f329(f7(x45551,f916(a908,a903),f916(a908,a903)),f329(f329(f8(f916(a908,f916(a903,a903)),f916(f916(a908,a903),f916(a908,a903)),x45551),f18(a908,a903,a903)),f329(f329(f8(f916(a908,a903),f916(a908,f916(a903,a903)),x45551),f329(f8(a903,f916(a903,a903),a908),a327)),f329(f329(f7(x45551,f916(a908,x45551),f916(a908,a903)),f329(f329(f8(f916(x45551,a903),f916(f916(a908,x45551),f916(a908,a903)),x45551),f8(x45551,a903,a908)),a326)),f329(f167(x45551),x45552))))),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,a908,a903),f241(a908)),f329(f192(f909(x45551)),x45552)))),f329(f329(f7(a908,f916(a908,a903),a903),f331(a908)),x45553))))),f329(f175(x45551),f179(x45551,x45552,x45553)))
% 191.26/191.45 [4447]E(f329(f267(x44471),f329(f329(f18(x44471,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44471),a332),f329(f329(f8(a903,a903,x44471),a324),f329(f329(f7(x44471,x44471,a903),a326),x44472)))),x44473)),f329(f329(f311(x44471),x44472),f329(f267(x44471),x44473)))
% 191.26/191.45 [4479]E(f329(f329(f157(f915(x44791,a908),x44791),f256(x44791,a908)),f329(f139(f915(x44791,a908),f329(f329(f7(f915(x44791,a908),f916(a908,a903),a903),f329(f329(f8(a908,f916(f916(a908,a903),a903),f915(x44791,a908)),f331(a908)),f261(x44791,a908))),x44792)),f329(f329(f184(x44791,a908),x44793),f142(a908,f329(f304(a908,f2(a908)),f329(f192(f909(x44791)),x44793)))))),f179(x44791,x44793,x44792))
% 191.26/191.45 [4506]E(f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f6(a908,a1),f329(f329(f8(a1,a1,a908),f329(f82(a1),x45061)),f329(f329(f7(a908,a1,a1),f329(f329(f8(a1,f916(a1,a1),a908),f83(a1)),f105(a1))),x45062))),f329(f285(a908),x45063))),f329(f329(f83(a1),f329(f105(a1),x45063)),f329(f329(f82(a1),x45061),f329(f329(f82(a1),x45061),f329(f329(f83(a1),f329(f105(a1),f329(f329(f23(a908),x45063),f80(a908)))),x45062)))))
% 191.26/191.45 [4548]E(f329(f267(f915(x45481,x45482)),f329(f262(x45481,x45482,a903),f329(f329(f7(x45481,f916(f915(x45482,x45481),a903),f916(x45482,a903)),f329(f329(f8(f916(x45482,f916(f916(f915(x45482,x45481),a903),a903)),f916(f916(f915(x45482,x45481),a903),f916(x45482,a903)),x45481),f7(x45482,f916(f915(x45482,x45481),a903),a903)),f329(f329(f8(f916(x45482,f915(x45482,x45481)),f916(x45482,f916(f916(f915(x45482,x45481),a903),a903)),x45481),f329(f8(f915(x45482,x45481),f916(f916(f915(x45482,x45481),a903),a903),x45482),f331(f915(x45482,x45481)))),f329(f7(x45482,x45481,f915(x45482,x45481)),f257(x45482,x45481))))),x45483))),f329(f289(x45482,x45481),x45483))
% 191.26/191.45 [4569]E(f329(f267(f909(x45691)),f329(f329(f8(f916(x45691,a903),a903,f909(x45691)),f89(x45691)),f329(f329(f8(f916(x45691,f916(f909(x45691),a903)),f916(x45691,a903),f909(x45691)),f329(f8(f916(f909(x45691),a903),a903,x45691),f89(f909(x45691)))),f329(f329(f7(f909(x45691),f916(x45691,f916(f909(x45691),a903)),f916(x45691,f916(f909(x45691),a903))),f329(f329(f8(f916(x45691,f916(f916(f909(x45691),a903),f916(f909(x45691),a903))),f916(f916(x45691,f916(f909(x45691),a903)),f916(x45691,f916(f909(x45691),a903))),f909(x45691)),f18(x45691,f916(f909(x45691),a903),f916(f909(x45691),a903))),f329(f329(f8(f916(x45691,f916(f909(x45691),f916(a903,a903))),f916(x45691,f916(f916(f909(x45691),a903),f916(f909(x45691),a903))),f909(x45691)),f329(f8(f916(f909(x45691),f916(a903,a903)),f916(f916(f909(x45691),a903),f916(f909(x45691),a903)),x45691),f18(f909(x45691),a903,a903))),f329(f329(f8(f916(x45691,f916(f909(x45691),a903)),f916(x45691,f916(f909(x45691),f916(a903,a903))),f909(x45691)),f329(f8(f916(f909(x45691),a903),f916(f909(x45691),f916(a903,a903)),x45691),f329(f8(a903,f916(a903,a903),f909(x45691)),a327))),f329(f329(f7(f909(x45691),f916(x45691,f916(f909(x45691),f909(x45691))),f916(x45691,f916(f909(x45691),a903))),f329(f329(f8(f916(f916(f909(x45691),f909(x45691)),f916(f909(x45691),a903)),f916(f916(x45691,f916(f909(x45691),f909(x45691))),f916(x45691,f916(f909(x45691),a903))),f909(x45691)),f8(f916(f909(x45691),f909(x45691)),f916(f909(x45691),a903),x45691)),f329(f329(f8(f916(f909(x45691),a903),f916(f916(f909(x45691),f909(x45691)),f916(f909(x45691),a903)),f909(x45691)),f8(f909(x45691),a903,f909(x45691))),a326))),f154(x45691)))))),f329(f329(f7(x45691,f916(f909(x45691),a903),f916(f909(x45691),a903)),f329(f329(f8(f916(a903,a903),f916(f916(f909(x45691),a903),f916(f909(x45691),a903)),x45691),f8(a903,a903,f909(x45691))),f329(f329(f8(a903,f916(a903,a903),x45691),a327),f329(f329(f7(x45691,f916(x45691,a903),a903),f331(x45691)),x45692)))),f329(f329(f7(f909(x45691),f916(f909(x45691),a903),a903),f331(f909(x45691))),x45693)))))),f177(x45691,x45692,x45693))
% 191.26/191.45 [4566]E(f329(f329(f88(a1,f915(a1,a1)),f329(f329(f23(a1),x45661),x45662)),f329(f329(f7(a1,f915(a1,a1),f915(a1,a1)),f329(f329(f18(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f329(f329(f8(a903,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f99(f915(a1,a1))),f329(f240(a1),f2(a1)))),f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x45663)),f80(a1))))),f329(f329(f257(a1,a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x45663)),x45661))),f329(f44(x45662),f329(f329(f257(a1,a1),x45663),x45661)))
% 191.26/191.45 [4595]~E(f31(x45951,x45952),f32(x45953,x45954))
% 191.26/191.45 [4614]~E(f329(a26,x46141),f29(x46142,x46143,x46144))
% 191.26/191.45 [4615]~E(f329(a26,x46151),f28(x46152,x46153,x46154))
% 191.26/191.45 [4616]~E(f29(x46161,x46162,x46163),f329(a26,x46164))
% 191.26/191.45 [4617]~E(f28(x46171,x46172,x46173),f329(a26,x46174))
% 191.26/191.45 [3612]E(f121(x36121,f329(x36122,x36123),f329(x36124,x36123)),f329(f207(x36121,x36122,x36124),x36123))
% 191.26/191.45 [3666]E(f329(f329(f250(x36661,x36662,x36663),x36664),f2(a908)),x36662)
% 191.26/191.45 [3706]E(f188(x37061,x37062,x37063,f329(a117,x37064)),f329(x37063,x37064))
% 191.26/191.45 [3748]E(f173(x37481,x37482,f173(x37481,x37483,x37484)),f173(x37481,x37483,f173(x37481,x37482,x37484)))
% 191.26/191.45 [3749]E(f130(x37491,x37492,f121(x37491,x37493,x37494)),f121(x37491,f130(x37491,x37492,x37493),x37494))
% 191.26/191.45 [3884]E(f329(f159(x38841,x38842,x38843,x38844),f118(x38842)),x38843)
% 191.26/191.45 [3885]E(f329(f145(x38851,x38852,x38853,x38854),f118(x38852)),x38854)
% 191.26/191.45 [3922]E(f329(f192(f913(x39221,x39222)),f224(x39221,x39222,x39223,x39224)),f2(a908))
% 191.26/191.45 [3989]E(f329(f329(f137(x39891),f172(x39891,x39892,x39893)),f172(x39891,x39894,x39893)),f329(f329(f137(x39891),f172(x39891,x39894,x39893)),f172(x39891,x39892,x39893)))
% 191.26/191.45 [4074]E(f329(f329(f264(x40741,x40742,x40743,f915(x40742,x40743)),x40744),f257(x40742,x40743)),x40744)
% 191.26/191.45 [4084]E(f131(x40841,x40842,x40843,x40844,f124(x40842)),x40843)
% 191.26/191.45 [4090]E(f76(x40901,x40902,x40903,x40904,f329(x40903,x40904)),x40903)
% 191.26/191.45 [4358]P50(x43581,x43582,x43583,x43584,f191(f916(x43581,a903)),x43584)
% 191.26/191.45 [3415]E(f329(f329(f16(x34151,x34152),x34153),x34154),x34153)
% 191.26/191.45 [3696]E(f173(x36961,x36962,f329(f139(x36961,x36963),x36964)),f329(f139(x36961,x36963),f173(x36961,x36962,x36964)))
% 191.26/191.45 [3731]E(f329(f329(f65(x37311,x37312,x37313),x37314),f191(f916(x37311,a903))),x37314)
% 191.26/191.45 [3755]E(f329(f329(f167(x37551),f329(f329(f154(x37551),x37552),x37553)),f329(a117,x37554)),f329(f329(f167(x37551),x37553),x37554))
% 191.26/191.45 [3799]P33(x37991,f2(a908),f329(f329(f329(f93(x37991),x37992),f329(a26,x37993)),x37994))
% 191.26/191.45 [3823]E(f329(f329(x38231,x38232),f329(f187(x38233,x38234,x38231),x38232)),f329(f187(x38233,x38234,x38231),f329(a117,x38232)))
% 191.26/191.45 [3865]E(f260(x38651,x38652,x38653,f329(f262(x38651,x38652,x38653),x38654)),x38654)
% 191.26/191.45 [3920]E(f329(f329(f162(x39201,f329(f329(f154(x39201),x39202),x39203)),f2(a908)),x39204),f329(f329(f154(x39201),x39204),x39203))
% 191.26/191.45 [3932]E(f329(f329(f40(f916(x39321,a903),f916(x39322,a903)),x39323),f312(x39321,x39322,x39324)),f329(f312(x39321,x39322,x39324),f38(f916(x39321,a903),x39323)))
% 191.26/191.45 [3933]E(f329(f329(f40(f916(x39331,a903),f916(x39332,a903)),x39333),f313(x39332,x39331,x39334)),f329(f313(x39332,x39331,x39334),f38(f916(x39331,a903),x39333)))
% 191.26/191.45 [4030]E(f329(f129(x40301,x40302),f130(x40301,x40303,x40304)),f329(f329(f82(a908),f329(f329(f82(a908),f329(x40302,x40303)),f329(f129(x40301,x40302),x40304))),f329(a117,f2(a908))))
% 191.26/191.45 [4050]E(f329(f145(x40501,x40502,f329(f7(x40502,x40501,x40501),x40503),x40504),f329(f171(x40502),f118(x40502))),x40504)
% 191.26/191.45 [4096]E(f78(x40961,x40962,x40963,x40964,f191(f916(x40961,a903))),x40963)
% 191.26/191.45 [4156]E(f227(x41561,f915(x41562,f910(x41562)),x41563,f329(f262(x41562,f910(x41562),x41561),x41564),f329(f138(x41562),f124(x41562))),x41563)
% 191.26/191.45 [4288]E(f329(f262(x42881,x42882,x42883),f329(f329(f8(f916(x42882,f915(x42881,x42882)),f916(x42882,x42883),x42881),f329(f8(f915(x42881,x42882),x42883,x42882),x42884)),f257(x42881,x42882))),x42884)
% 191.26/191.45 [3603]E(f329(f261(x36031,x36032),f329(f329(f257(x36031,x36032),x36033),x36034)),x36034)
% 191.26/191.45 [3604]E(f329(f256(x36041,x36042),f329(f329(f257(x36041,x36042),x36043),x36044)),x36043)
% 191.26/191.45 [3639]E(f329(f192(f909(x36391)),f329(f329(f162(x36391,x36392),x36393),x36394)),f329(f192(f909(x36391)),x36392))
% 191.26/191.45 [3640]E(f329(f192(f909(x36401)),f329(f329(f157(x36402,x36401),x36403),x36404)),f329(f192(f909(x36402)),x36404))
% 191.26/191.45 [3661]E(f329(f329(f141(x36611),f329(a117,x36612)),f329(f329(f154(x36611),x36613),x36614)),f329(f329(f141(x36611),x36612),x36614))
% 191.26/191.45 [3726]E(f329(f329(f178(x37261),x37262),f172(x37261,x37263,x37264)),f172(x37261,f329(f329(f238(a908),x37262),x37263),x37264))
% 191.26/191.45 [3727]E(f329(f329(f141(x37271),x37272),f172(x37271,x37273,x37274)),f172(x37271,f329(f329(f23(a908),x37273),x37272),x37274))
% 191.26/191.45 [3733]E(f329(f329(f311(x37331),x37332),f329(f329(f311(x37331),x37333),x37334)),f329(f329(f311(x37331),x37333),f329(f329(f311(x37331),x37332),x37334)))
% 191.26/191.45 [3737]E(f329(f329(f157(x37371,x37372),x37373),f119(x37371,x37374)),f119(x37372,f329(f329(f157(x37371,x37372),x37373),x37374)))
% 191.26/191.45 [3753]E(f329(f171(x37531),f329(f329(f157(x37532,x37531),x37533),x37534)),f329(f329(f157(x37532,x37531),x37533),f329(f171(x37532),x37534)))
% 191.26/191.45 [3754]E(f329(f329(f157(x37541,x37542),x37543),f329(f174(x37541),x37544)),f329(f174(x37542),f329(f329(f157(x37541,x37542),x37543),x37544)))
% 191.26/191.45 [3768]E(f329(f329(f178(x37681),f329(a117,x37682)),f329(f329(f154(x37681),x37683),x37684)),f329(f329(f154(x37681),x37683),f329(f329(f178(x37681),x37682),x37684)))
% 191.26/191.45 [3772]E(f329(f175(x37721),f329(f329(f157(x37722,x37721),x37723),x37724)),f329(f312(x37722,x37721,x37723),f329(f175(x37722),x37724)))
% 191.26/191.45 [3785]E(f329(f329(f157(x37851,x37852),f329(f16(x37852,x37851),x37853)),x37854),f172(x37852,f329(f192(f909(x37851)),x37854),x37853))
% 191.26/191.45 [3822]E(f17(x38221,x38222,x38223,f329(a3,f329(a117,f329(a20,x38224)))),f329(x38223,x38224))
% 191.26/191.45 [3826]E(f329(f329(f137(x38261),f329(f139(x38261,x38262),x38263)),f329(f139(x38261,x38262),x38264)),f329(f139(x38261,x38262),f329(f329(f137(x38261),x38263),x38264)))
% 191.26/191.45 [3839]E(f155(x38391,f329(f329(f157(x38392,x38391),x38393),f155(x38392,x38394))),f155(x38391,f329(f329(f157(x38392,x38391),x38393),x38394)))
% 191.26/191.45 [3854]E(f329(f289(x38541,x38541),f329(f329(f290(x38542,x38541),x38543),x38544)),f329(f329(f290(x38542,x38541),f329(f289(x38542,x38542),x38543)),x38544))
% 191.26/191.45 [3866]E(f329(f329(f291(x38661,x38662,x38663),x38664),f191(f916(f915(x38662,x38663),a903))),f191(f916(f915(x38661,x38663),a903)))
% 191.26/191.45 [3867]E(f329(f329(f178(x38671),f329(f329(f23(a908),x38672),x38673)),f329(f329(f141(x38671),x38673),x38674)),f329(f329(f141(x38671),x38673),f329(f329(f178(x38671),x38672),x38674)))
% 191.26/191.45 [3886]E(f329(f329(f137(x38861),f172(x38861,x38862,x38863)),f172(x38861,x38864,x38863)),f172(x38861,f329(f329(f82(a908),x38862),x38864),x38863))
% 191.26/191.45 [3887]E(f329(f329(f329(f281(x38871),x38872),x38873),x38874),f329(f257(f916(a104,f916(a903,f912(f910(x38871)))),f915(a104,a104)),f329(f43(x38871),x38872)))
% 191.26/191.45 [3913]E(f39(f916(x39131,a903),f329(f312(x39132,f916(x39131,a903),x39133),x39134)),f329(f329(f41(x39132,f916(x39131,a903)),x39134),x39133))
% 191.26/191.45 [3914]E(f38(f916(x39141,a903),f329(f312(x39142,f916(x39141,a903),x39143),x39144)),f329(f329(f40(x39142,f916(x39141,a903)),x39144),x39143))
% 191.26/191.45 [3915]E(f329(f192(f909(f915(x39151,x39152))),f329(f329(f184(x39151,x39152),x39153),x39154)),f329(f329(f238(a908),f329(f192(f909(x39151)),x39153)),f329(f192(f909(x39152)),x39154)))
% 191.26/191.45 [3917]E(f329(f313(x39171,x39172,x39173),f329(f81(f916(x39172,a903)),x39174)),f329(f81(f916(x39171,a903)),f329(f313(x39171,x39172,x39173),x39174)))
% 191.26/191.45 [3966]E(f329(f313(x39661,x39662,x39663),f329(f267(x39662),x39664)),f329(f267(x39661),f329(f329(f8(x39662,a903,x39661),x39664),x39663)))
% 191.26/191.45 [3984]E(f329(f329(f167(x39841),f329(f329(f137(x39841),x39842),f329(f329(f154(x39841),x39843),x39844))),f329(f192(f909(x39841)),x39842)),x39843)
% 191.26/191.45 [4007]E(f329(f312(x40071,x40072,x40073),f329(f313(x40071,x40072,x40073),x40074)),f329(f329(f106(f916(x40072,a903)),x40074),f329(f312(x40071,x40072,x40073),f247(f916(x40071,a903)))))
% 191.26/191.45 [4026]P1(f329(f329(f331(x40261),f329(x40262,x40263)),f329(f312(x40264,x40261,x40262),f247(f916(x40264,a903)))))
% 191.26/191.45 [4034]E(f19(x40341,x40342,x40343,f329(a3,f329(a117,f329(a20,x40344)))),f329(f329(x40343,x40344),f19(x40341,x40342,x40343,x40344)))
% 191.26/191.45 [4038]E(f329(f329(f137(x40381),f172(x40381,x40382,x40383)),f329(f329(f154(x40381),x40383),x40384)),f329(f329(f154(x40381),x40383),f329(f329(f137(x40381),f172(x40381,x40382,x40383)),x40384)))
% 191.26/191.45 [4040]E(f329(f329(f259(x40401,x40402),f329(f175(x40401),x40403)),f329(f16(f916(x40402,a903),x40401),f329(f175(x40402),x40404))),f329(f175(f915(x40401,x40402)),f60(x40401,x40402,x40403,x40404)))
% 191.26/191.45 [4052]E(f158(x40521,x40522,f329(f329(f154(x40521),x40523),x40524)),f329(f329(f82(a908),f329(f329(f82(a908),f329(x40522,x40523)),f158(x40521,x40522,x40524))),f329(a117,f2(a908))))
% 191.26/191.45 [4065]E(f188(f909(x40651),f329(f329(f154(x40651),x40652),x40653),f329(f329(f7(a908,f909(x40651),f909(x40651)),f141(x40651)),x40653),x40654),f329(f329(f141(x40651),x40654),f329(f329(f154(x40651),x40652),x40653)))
% 191.26/191.45 [4066]P30(x40661,f915(x40662,x40661),f333(x40663,x40664,x40662,x40661),f329(f329(f40(x40662,f916(x40661,a903)),x40664),x40663))
% 191.26/191.45 [4075]E(f329(f329(f23(f916(x40751,a903)),f329(f329(f23(f916(x40751,a903)),x40752),x40753)),f329(f329(f311(x40751),x40754),f191(f916(x40751,a903)))),f329(f329(f23(f916(x40751,a903)),x40752),f329(f329(f311(x40751),x40754),x40753)))
% 191.26/191.45 [4088]E(f329(f329(f186(f916(x40881,x40882),f916(x40881,x40882)),x40883),f74(x40882,x40882,x40881,x40884)),f74(x40882,x40882,x40881,f329(f329(f186(x40882,x40882),x40883),x40884)))
% 191.26/191.45 [4161]E(f329(f329(f329(f186(f909(x41611),f909(x41611)),x41612),f170(x41611)),f329(f329(f329(f186(f909(x41611),f909(x41611)),x41613),f170(x41611)),x41614)),f329(f329(f329(f186(f909(x41611),f909(x41611)),f329(f329(f82(a908),x41612),x41613)),f170(x41611)),x41614))
% 191.26/191.45 [4246]P1(f329(f329(f240(f916(x42461,a903)),f329(f175(x42461),f329(f329(f162(x42461,x42462),x42463),x42464))),f329(f329(f311(x42461),x42464),f329(f175(x42461),x42462))))
% 191.26/191.45 [4278]E(f329(f329(f40(f916(x42781,a903),f916(f915(x42781,x42782),a903)),x42783),f329(f329(f7(f916(x42781,a903),f916(x42781,f916(x42782,a903)),f916(f915(x42781,x42782),a903)),f259(x42781,x42782)),x42784)),f329(f329(f259(x42781,x42782),f38(f916(x42781,a903),x42783)),x42784))
% 191.26/191.45 [4316]E(f213(x43161,x43162,x43163,f329(f74(x43162,f916(a104,f916(a104,f916(f915(a104,a104),f916(a104,f910(x43162))))),x43161,f212(x43162)),x43164)),f214(x43161,x43162,x43164,x43163))
% 191.26/191.45 [4331]E(f209(x43311,x43312,x43313,f329(f74(x43312,f916(a104,f916(a104,f916(f915(a104,a104),f916(a104,f910(f912(x43312)))))),x43311,f208(x43312)),x43314)),f210(x43311,x43312,x43314,x43313))
% 191.26/191.45 [4336]P1(f329(f67(x43361,x43362,x43363,x43364,f191(f916(x43361,a903))),x43364))
% 191.26/191.45 [4375]E(f329(f329(f40(x43751,f916(x43752,a903)),x43753),f329(f329(f7(x43751,f916(x43752,a903),f916(x43752,a903)),f329(f329(f8(x43752,f916(f916(x43752,a903),f916(x43752,a903)),x43751),f311(x43752)),x43754)),f191(f916(x43752,a903)))),f329(f312(x43751,x43752,x43754),x43753))
% 191.26/191.45 [4382]P1(f329(f329(f240(f916(x43821,a903)),f329(f287(x43822,x43821),f329(f329(f106(f916(f915(x43822,x43821),a903)),x43823),x43824))),f329(f329(f106(f916(x43821,a903)),f329(f287(x43822,x43821),x43823)),f329(f287(x43822,x43821),x43824))))
% 191.26/191.45 [4383]P1(f329(f329(f240(f916(x43831,a903)),f329(f269(x43831,x43832),f329(f329(f106(f916(f915(x43831,x43832),a903)),x43833),x43834))),f329(f329(f106(f916(x43831,a903)),f329(f269(x43831,x43832),x43833)),f329(f269(x43831,x43832),x43834))))
% 191.26/191.45 [4443]P1(f329(f329(f240(f916(f915(x44431,x44432),a903)),f329(f312(x44432,f915(x44431,x44432),f333(x44433,x44434,x44431,x44432)),f329(f329(f40(x44431,f916(x44432,a903)),x44434),x44433))),f329(f329(f259(x44431,x44432),x44434),x44433)))
% 191.26/191.45 [4444]E(f329(f123(x44441,f915(x44441,x44442),x44443),f329(f329(f8(f916(x44442,f910(f915(x44441,x44442))),f910(f915(x44441,x44442)),x44441),f123(x44442,f915(x44441,x44442),x44444)),f329(f329(f8(f916(x44442,f915(x44441,x44442)),f916(x44442,f910(f915(x44441,x44442))),x44441),f329(f8(f915(x44441,x44442),f910(f915(x44441,x44442)),x44442),f133(f915(x44441,x44442)))),f257(x44441,x44442)))),f134(x44441,x44442,x44443,x44444))
% 191.26/191.45 [4445]E(f279(x44451,x44452,x44453,f329(f74(x44452,f916(a104,f916(a104,f916(f915(a104,a104),f915(f916(a104,f916(a903,f912(f910(x44452)))),f915(a104,a104))))),x44451,f281(x44452)),x44454)),f282(x44451,x44452,x44454,x44453))
% 191.26/191.45 [4485]E(f87(f915(x44851,x44852),f329(f262(x44851,x44852,a903),f329(f329(f7(x44851,f916(x44852,a903),f916(x44852,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x44852,a903),f916(x44852,a903)),x44851),f8(a903,a903,x44852)),f329(f329(f8(a903,f916(a903,a903),x44851),a327),f329(a326,x44853)))),f329(a326,x44854)))),f329(f329(f257(x44851,x44852),x44853),x44854))
% 191.26/191.45 [4486]E(f92(f915(x44861,x44862),f329(f262(x44861,x44862,a903),f329(f329(f7(x44861,f916(x44862,a903),f916(x44862,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x44862,a903),f916(x44862,a903)),x44861),f8(a903,a903,x44862)),f329(f329(f8(a903,f916(a903,a903),x44861),a327),f329(a326,x44863)))),f329(a326,x44864)))),f329(f329(f257(x44861,x44862),x44863),x44864))
% 191.26/191.45 [4557]E(f329(f329(f262(f909(x45571),f909(x45571),f915(f909(x45571),f909(x45571))),f329(f329(f18(f909(x45571),f916(f909(x45571),f915(f909(x45571),f909(x45571))),f916(f909(x45571),f915(f909(x45571),f909(x45571)))),f329(f329(f8(f916(f909(x45571),f916(f915(f909(x45571),f909(x45571)),f915(f909(x45571),f909(x45571)))),f916(f916(f909(x45571),f915(f909(x45571),f909(x45571))),f916(f909(x45571),f915(f909(x45571),f909(x45571)))),f909(x45571)),f18(f909(x45571),f915(f909(x45571),f909(x45571)),f915(f909(x45571),f909(x45571)))),f329(f329(f8(f916(f909(x45571),f915(f909(x45571),f909(x45571))),f916(f909(x45571),f916(f915(f909(x45571),f909(x45571)),f915(f909(x45571),f909(x45571)))),f909(x45571)),f329(f8(f915(f909(x45571),f909(x45571)),f916(f915(f909(x45571),f909(x45571)),f915(f909(x45571),f909(x45571))),f909(x45571)),f329(f99(f915(f909(x45571),f909(x45571))),f329(x45572,x45573)))),f329(f329(f8(f909(x45571),f916(f909(x45571),f915(f909(x45571),f909(x45571))),f909(x45571)),f257(f909(x45571),f909(x45571))),f329(f154(x45571),x45573))))),f329(f329(f7(f909(x45571),f916(f909(x45571),f909(x45571)),f916(f909(x45571),f915(f909(x45571),f909(x45571)))),f329(f329(f8(f916(f909(x45571),f915(f909(x45571),f909(x45571))),f916(f916(f909(x45571),f909(x45571)),f916(f909(x45571),f915(f909(x45571),f909(x45571)))),f909(x45571)),f8(f909(x45571),f915(f909(x45571),f909(x45571)),f909(x45571))),f257(f909(x45571),f909(x45571)))),f329(f154(x45571),x45573)))),f169(x45571,x45572,x45574)),f169(x45571,x45572,f329(f329(f154(x45571),x45573),x45574)))
% 191.26/191.45 [3678]E(f329(f192(f907(x36781)),f329(f329(f329(f93(x36781),x36782),x36783),x36784)),f2(a908))
% 191.26/191.45 [3802]E(f329(f329(f178(x38021),x38022),f329(f329(f178(x38021),x38023),x38024)),f329(f329(f178(x38021),f329(f329(f238(a908),x38022),x38023)),x38024))
% 191.26/191.45 [3803]E(f329(f329(f141(x38031),x38032),f329(f329(f141(x38031),x38033),x38034)),f329(f329(f141(x38031),f329(f329(f82(a908),x38032),x38033)),x38034))
% 191.26/191.45 [3814]E(f329(f329(f137(x38141),f329(f329(f154(x38141),x38142),x38143)),x38144),f329(f329(f154(x38141),x38142),f329(f329(f137(x38141),x38143),x38144)))
% 191.26/191.45 [3815]E(f329(f329(f137(x38151),f329(f329(f137(x38151),x38152),x38153)),x38154),f329(f329(f137(x38151),x38152),f329(f329(f137(x38151),x38153),x38154)))
% 191.26/191.45 [3897]E(f329(f329(f167(x38971),f329(f329(f154(x38971),x38972),x38973)),x38974),f188(x38971,x38972,f329(f167(x38971),x38973),x38974))
% 191.26/191.45 [3906]E(f329(f329(f186(x39061,x39061),x39062),f329(f329(f186(x39061,x39061),x39063),x39064)),f329(f329(f186(x39061,x39061),f329(f329(f83(a908),x39063),x39062)),x39064))
% 191.26/191.45 [3935]E(f329(f329(f115(f916(x39351,a903)),x39352),f329(f329(f311(x39351),x39353),x39354)),f329(f329(f311(x39351),x39353),f329(f329(f115(f916(x39351,a903)),x39352),x39354)))
% 191.26/191.45 [3949]E(f329(f329(f329(f186(x39491,x39491),x39492),x39493),f329(x39493,x39494)),f329(x39493,f329(f329(f329(f186(x39491,x39491),x39492),x39493),x39494)))
% 191.26/191.45 [3957]E(f329(f329(f291(x39571,x39572,x39573),f191(f916(f915(x39571,x39572),a903))),x39574),f191(f916(f915(x39571,x39573),a903)))
% 191.26/191.45 [3972]E(f329(f329(f115(f916(x39721,a903)),f329(f329(f311(x39721),x39722),x39723)),x39724),f329(f329(f311(x39721),x39722),f329(f329(f115(f916(x39721,a903)),x39723),x39724)))
% 191.26/191.45 [3991]E(f329(f36(f915(x39911,x39912)),f329(f329(f259(x39911,x39912),x39913),f329(f16(f916(x39912,a903),x39911),x39914))),f329(f329(f83(a908),f329(f36(x39911),x39913)),f329(f36(x39912),x39914)))
% 191.26/191.45 [3998]E(f329(f329(f106(f916(x39981,a903)),f329(f329(f311(x39981),x39982),x39983)),f329(f329(f311(x39981),x39982),x39984)),f329(f329(f311(x39981),x39982),f329(f329(f106(f916(x39981,a903)),x39983),x39984)))
% 191.26/191.45 [4011]E(f329(f329(f115(f916(x40111,a903)),x40112),f329(f329(f115(f916(x40111,a903)),x40113),x40114)),f329(f329(f115(f916(x40111,a903)),x40113),f329(f329(f115(f916(x40111,a903)),x40112),x40114)))
% 191.26/191.45 [4012]E(f329(f329(f106(f916(x40121,a903)),x40122),f329(f329(f106(f916(x40121,a903)),x40123),x40124)),f329(f329(f106(f916(x40121,a903)),x40123),f329(f329(f106(f916(x40121,a903)),x40122),x40124)))
% 191.26/191.45 [4022]E(f65(x40221,x40222,f329(f329(f8(x40222,f916(x40222,x40222),x40221),x40223),x40224)),f329(f66(x40222,x40221,x40223),x40224))
% 191.26/191.45 [4031]E(f182(x40311,f329(f329(f157(f909(x40312),f909(x40311)),f329(f157(x40312,x40311),x40313)),x40314)),f329(f329(f157(f909(x40312),f909(x40311)),f329(f157(x40312,x40311),x40313)),f182(x40312,x40314)))
% 191.26/191.45 [4049]E(f329(f145(f909(x40491),f909(x40491),f137(x40491),f118(x40491)),f329(f329(f157(x40492,f909(x40491)),x40493),x40494)),f166(x40492,x40491,x40493,x40494))
% 191.26/191.45 [4108]E(f329(f74(x41081,x41081,x41081,f329(f329(f186(x41081,x41081),x41082),x41083)),f329(f329(f186(x41081,x41081),x41084),x41083)),f329(f329(f186(x41081,x41081),f329(f329(f82(a908),x41082),x41084)),x41083))
% 191.26/191.45 [4131]E(f329(f329(f106(f916(x41311,a903)),f329(f329(f115(f916(x41311,a903)),x41312),x41313)),f329(f329(f115(f916(x41311,a903)),x41312),x41314)),f329(f329(f115(f916(x41311,a903)),x41312),f329(f329(f106(f916(x41311,a903)),x41313),x41314)))
% 191.26/191.45 [4132]E(f329(f329(f106(f916(x41321,a903)),f329(f329(f23(f916(x41321,a903)),x41322),x41323)),f329(f329(f23(f916(x41321,a903)),x41322),x41324)),f329(f329(f23(f916(x41321,a903)),x41322),f329(f329(f115(f916(x41321,a903)),x41323),x41324)))
% 191.26/191.45 [4133]E(f329(f329(f115(f916(x41331,a903)),f329(f329(f23(f916(x41331,a903)),x41332),x41333)),f329(f329(f23(f916(x41331,a903)),x41332),x41334)),f329(f329(f23(f916(x41331,a903)),x41332),f329(f329(f106(f916(x41331,a903)),x41333),x41334)))
% 191.26/191.45 [4134]E(f329(f329(f115(f916(x41341,a903)),f329(f329(f106(f916(x41341,a903)),x41342),x41343)),f329(f329(f106(f916(x41341,a903)),x41342),x41344)),f329(f329(f106(f916(x41341,a903)),x41342),f329(f329(f115(f916(x41341,a903)),x41343),x41344)))
% 191.26/191.45 [4135]E(f329(f329(f23(f916(x41351,a903)),f329(f329(f106(f916(x41351,a903)),x41352),x41353)),f329(f329(f106(f916(x41351,a903)),x41352),x41354)),f329(f329(f106(f916(x41351,a903)),x41352),f329(f329(f23(f916(x41351,a903)),x41353),x41354)))
% 191.26/191.45 [4140]E(f329(f36(f915(x41401,x41402)),f329(f329(f259(x41401,x41402),f329(f329(f311(x41401),x41403),f191(f916(x41401,a903)))),f329(f16(f916(x41402,a903),x41401),x41404))),f329(f36(x41402),x41404))
% 191.26/191.45 [4175]E(f329(f329(f41(x41751,f916(x41752,a903)),x41753),f329(f329(f8(f916(x41752,a903),f916(x41752,a903),x41751),f81(f916(x41752,a903))),x41754)),f329(f81(f916(x41752,a903)),f329(f329(f40(x41751,f916(x41752,a903)),x41753),x41754)))
% 191.26/191.45 [4176]E(f329(f329(f40(x41761,f916(x41762,a903)),x41763),f329(f329(f8(f916(x41762,a903),f916(x41762,a903),x41761),f81(f916(x41762,a903))),x41764)),f329(f81(f916(x41762,a903)),f329(f329(f41(x41761,f916(x41762,a903)),x41763),x41764)))
% 191.26/191.45 [4192]E(f329(f329(f291(x41921,x41921,x41921),f329(f329(f186(f915(x41921,x41921),a903),x41922),x41923)),f329(f329(f186(f915(x41921,x41921),a903),x41924),x41923)),f329(f329(f186(f915(x41921,x41921),a903),f329(f329(f82(a908),x41922),x41924)),x41923))
% 191.26/191.45 [4222]E(f329(f329(f41(x42221,f916(f916(x42222,a903),a903)),x42223),f329(f329(f8(f916(x42222,a903),f916(f916(x42222,a903),a903),x42221),f310(x42222)),x42224)),f329(f310(x42222),f329(f329(f41(x42221,f916(x42222,a903)),x42223),x42224)))
% 191.26/191.45 [4251]E(f329(f329(f40(f916(x42511,a903),f916(x42512,a903)),x42513),f329(f329(f7(f916(x42511,a903),f916(x42511,f916(x42512,a903)),f916(x42512,a903)),f40(x42511,f916(x42512,a903))),x42514)),f329(f329(f40(x42511,f916(x42512,a903)),f38(f916(x42511,a903),x42513)),x42514))
% 191.26/191.45 [4252]E(f329(f329(f41(f916(x42521,a903),f916(x42522,a903)),x42523),f329(f329(f7(f916(x42521,a903),f916(x42521,f916(x42522,a903)),f916(x42522,a903)),f41(x42521,f916(x42522,a903))),x42524)),f329(f329(f41(x42521,f916(x42522,a903)),f38(f916(x42521,a903),x42523)),x42524))
% 191.26/191.45 [4257]E(f329(f329(f157(x42571,x42572),x42573),f329(f145(f909(x42571),f909(x42571),f137(x42571),f118(x42571)),x42574)),f329(f145(f909(x42572),f909(x42572),f137(x42572),f118(x42572)),f329(f329(f157(f909(x42571),f909(x42572)),f329(f157(x42571,x42572),x42573)),x42574)))
% 191.26/191.45 [4259]E(f188(f909(x42591),f118(x42591),f329(f329(f8(f909(x42591),f909(x42591),a908),f329(f154(x42591),x42592)),f329(f329(f7(a908,f909(x42591),f909(x42591)),f178(x42591)),x42593)),x42594),f329(f329(f178(x42591),x42594),f329(f329(f154(x42591),x42592),x42593)))
% 191.26/191.45 [4297]P1(f329(f329(f240(f916(x42971,a903)),f329(f312(x42972,x42971,x42973),f329(f313(x42972,x42971,x42973),x42974))),x42974))
% 191.26/191.45 [4299]E(f329(f312(f915(x42991,x42992),f915(x42992,x42991),f329(f262(x42991,x42992,f915(x42992,x42991)),f329(f7(x42992,x42991,f915(x42992,x42991)),f257(x42992,x42991)))),f329(f329(f259(x42991,x42992),x42993),f329(f16(f916(x42992,a903),x42991),x42994))),f329(f329(f259(x42992,x42991),x42994),f329(f16(f916(x42991,a903),x42992),x42993)))
% 191.26/191.45 [4308]E(f329(f329(f40(x43081,f916(x43082,a903)),x43083),f329(f329(f8(f916(x43081,a903),f916(x43082,a903),x43081),f288(x43081,x43082,x43084)),f329(f329(f7(x43081,f916(x43081,a903),f916(x43081,a903)),f311(x43081)),f191(f916(x43081,a903))))),f329(f288(x43081,x43082,x43084),x43083))
% 191.26/191.45 [4309]E(f329(f329(f40(x43091,f916(x43092,a903)),x43093),f329(f329(f8(f916(x43091,a903),f916(x43092,a903),x43091),f313(x43092,x43091,x43094)),f329(f329(f7(x43091,f916(x43091,a903),f916(x43091,a903)),f311(x43091)),f191(f916(x43091,a903))))),f329(f313(x43092,x43091,x43094),x43093))
% 191.26/191.45 [4396]E(f329(f329(f115(f916(x43961,a903)),f329(f329(f115(f916(x43961,a903)),f329(f329(f106(f916(x43961,a903)),x43962),x43963)),f329(f329(f106(f916(x43961,a903)),x43963),x43964))),f329(f329(f106(f916(x43961,a903)),x43964),x43962)),f329(f329(f106(f916(x43961,a903)),f329(f329(f106(f916(x43961,a903)),f329(f329(f115(f916(x43961,a903)),x43962),x43963)),f329(f329(f115(f916(x43961,a903)),x43963),x43964))),f329(f329(f115(f916(x43961,a903)),x43964),x43962)))
% 191.26/191.45 [4459]E(f329(f145(f909(x44591),f909(x44591),f137(x44591),f118(x44591)),f329(f329(f157(x44592,f909(x44591)),f329(f329(f7(x44592,f909(x44591),f909(x44591)),f329(f329(f8(x44591,f916(f909(x44591),f909(x44591)),x44592),f154(x44591)),x44593)),f118(x44591))),x44594)),f329(f329(f157(x44592,x44591),x44593),x44594))
% 191.26/191.45 [4469]E(f329(f329(f88(a1,x44691),f329(f108(a1),f329(f329(f82(a1),x44692),a102))),f329(f329(f18(a1,x44691,x44691),f329(f329(f7(a1,x44691,f916(x44691,x44691)),f329(f329(f8(a903,f916(x44691,f916(x44691,x44691)),a1),f99(x44691)),a196)),x44693)),f329(f329(f8(a908,x44691,a1),x44694),a109))),f188(x44691,x44693,x44694,f329(f108(a908),x44692)))
% 191.26/191.45 [4500]E(f329(f267(x45001),f329(f329(f8(f916(x45002,a903),a903,x45001),f89(x45002)),f329(f329(f8(f916(x45002,a903),f916(x45002,a903),x45001),f329(f18(x45002,a903,a903),f329(f329(f8(a903,f916(a903,a903),x45002),a327),f329(f329(f7(x45002,f916(x45002,a903),a903),f331(x45002)),x45003)))),f329(f7(x45002,x45001,a903),x45004)))),f329(f288(x45002,x45001,f329(f267(f915(x45002,x45001)),f329(f262(x45002,x45001,a903),x45004))),x45003))
% 191.26/191.45 [4666]~P1(f329(f329(f191(f916(x46661,f916(x46662,a903))),x46663),x46664))
% 191.26/191.45 [3960]E(f329(f329(f167(x39601),f329(f329(f137(x39601),x39602),x39603)),f329(f329(f82(a908),f329(f192(f909(x39601)),x39602)),x39604)),f329(f329(f167(x39601),x39603),x39604))
% 191.26/191.45 [3965]E(f329(f329(f141(x39651),x39652),f329(f329(f178(x39651),f329(f329(f82(a908),x39653),x39652)),x39654)),f329(f329(f178(x39651),x39653),f329(f329(f141(x39651),x39652),x39654)))
% 191.26/191.45 [4063]E(f329(f329(f115(f916(x40631,a903)),f329(f287(x40632,x40631),x40633)),f329(f287(x40632,x40631),x40634)),f329(f287(x40632,x40631),f329(f329(f115(f916(f915(x40632,x40631),a903)),x40633),x40634)))
% 191.26/191.45 [4064]E(f329(f329(f115(f916(x40641,a903)),f329(f269(x40641,x40642),x40643)),f329(f269(x40641,x40642),x40644)),f329(f269(x40641,x40642),f329(f329(f115(f916(f915(x40641,x40642),a903)),x40643),x40644)))
% 191.26/191.45 [4069]E(f329(f329(f115(f916(x40691,a903)),f329(f329(f115(f916(x40691,a903)),x40692),x40693)),x40694),f329(f329(f115(f916(x40691,a903)),x40692),f329(f329(f115(f916(x40691,a903)),x40693),x40694)))
% 191.26/191.45 [4070]E(f329(f329(f23(f916(x40701,a903)),f329(f329(f106(f916(x40701,a903)),x40702),x40703)),x40704),f329(f329(f106(f916(x40701,a903)),x40702),f329(f329(f23(f916(x40701,a903)),x40703),x40704)))
% 191.26/191.45 [4071]E(f329(f329(f106(f916(x40711,a903)),f329(f329(f106(f916(x40711,a903)),x40712),x40713)),x40714),f329(f329(f106(f916(x40711,a903)),x40712),f329(f329(f106(f916(x40711,a903)),x40713),x40714)))
% 191.26/191.45 [4110]E(f329(f329(f115(f916(f915(x41101,x41102),a903)),f329(f289(x41102,x41101),x41103)),f329(f289(x41102,x41101),x41104)),f329(f289(x41102,x41101),f329(f329(f115(f916(f915(x41102,x41101),a903)),x41103),x41104)))
% 191.26/191.45 [4111]E(f329(f329(f106(f916(f915(x41111,x41112),a903)),f329(f289(x41112,x41111),x41113)),f329(f289(x41112,x41111),x41114)),f329(f289(x41112,x41111),f329(f329(f106(f916(f915(x41112,x41111),a903)),x41113),x41114)))
% 191.26/191.45 [4124]E(f329(f329(f115(f916(x41241,f916(x41242,a903))),f248(x41242,x41241,x41243)),f248(x41242,x41241,x41244)),f248(x41242,x41241,f329(f329(f115(f916(x41242,f916(x41241,a903))),x41243),x41244)))
% 191.26/191.45 [4125]E(f329(f329(f106(f916(x41251,f916(x41252,a903))),f248(x41252,x41251,x41253)),f248(x41252,x41251,x41254)),f248(x41252,x41251,f329(f329(f106(f916(x41252,f916(x41251,a903))),x41253),x41254)))
% 191.26/191.45 [4179]E(f329(f329(f106(f916(x41791,a903)),f329(f329(f115(f916(x41791,a903)),x41792),x41793)),f329(f329(f115(f916(x41791,a903)),x41794),x41793)),f329(f329(f115(f916(x41791,a903)),f329(f329(f106(f916(x41791,a903)),x41792),x41794)),x41793))
% 191.26/191.45 [4180]E(f329(f329(f115(f916(x41801,a903)),f329(f329(f23(f916(x41801,a903)),x41802),x41803)),f329(f329(f23(f916(x41801,a903)),x41804),x41803)),f329(f329(f23(f916(x41801,a903)),f329(f329(f115(f916(x41801,a903)),x41802),x41804)),x41803))
% 191.26/191.45 [4181]E(f329(f329(f115(f916(x41811,a903)),f329(f329(f106(f916(x41811,a903)),x41812),x41813)),f329(f329(f106(f916(x41811,a903)),x41814),x41813)),f329(f329(f106(f916(x41811,a903)),f329(f329(f115(f916(x41811,a903)),x41812),x41814)),x41813))
% 191.26/191.45 [4182]E(f329(f329(f23(f916(x41821,a903)),f329(f329(f106(f916(x41821,a903)),x41822),x41823)),f329(f329(f106(f916(x41821,a903)),x41824),x41823)),f329(f329(f106(f916(x41821,a903)),f329(f329(f23(f916(x41821,a903)),x41822),x41824)),x41823))
% 191.26/191.45 [4183]E(f329(f329(f23(f916(x41831,a903)),f329(f329(f106(f916(x41831,a903)),x41832),x41833)),f329(f329(f106(f916(x41831,a903)),x41834),x41833)),f329(f329(f23(f916(x41831,a903)),f329(f329(f106(f916(x41831,a903)),x41832),x41833)),x41834))
% 191.26/191.45 [4195]E(f329(f329(f23(f916(x41951,a903)),f329(f329(f23(f916(x41951,a903)),x41952),f329(f329(f311(x41951),x41953),f191(f916(x41951,a903))))),x41954),f329(f329(f23(f916(x41951,a903)),x41952),f329(f329(f311(x41951),x41953),x41954)))
% 191.26/191.45 [4248]E(f329(f329(f115(f916(x42481,a903)),f329(f329(f311(x42481),x42482),f329(f329(f311(x42481),x42483),f191(f916(x42481,a903))))),f329(f284(x42481),x42484)),f329(f284(x42481),f329(f329(f311(f915(x42481,x42481)),f329(f329(f257(x42481,x42481),x42482),x42483)),x42484)))
% 191.26/191.45 [4273]E(f329(f329(f40(a908,f916(x42731,a903)),f329(f303(a908),x42732)),f329(f329(f8(a908,f916(x42731,a903),a908),x42733),f329(f329(f7(a908,a908,a908),f82(a908)),x42734))),f329(f329(f40(a908,f916(x42731,a903)),f305(a908,x42734,f329(f329(f82(a908),x42732),x42734))),x42733))
% 191.26/191.45 [4274]E(f177(x42741,f329(f288(x42741,x42741,x42742),f329(f329(f311(x42741),x42743),f191(f916(x42741,a903)))),f329(f288(f909(x42741),f909(x42741),f161(x42741,x42742)),f329(f329(f311(f909(x42741)),x42744),f191(f916(f909(x42741),a903))))),f329(f288(f909(x42741),f909(x42741),f161(x42741,x42742)),f329(f329(f311(f909(x42741)),f329(f329(f154(x42741),x42743),x42744)),f191(f916(f909(x42741),a903)))))
% 191.26/191.45 [4338]E(f329(f267(x43381),f329(f329(f7(x43381,f916(x43382,a903),a903),f329(f329(f8(x43382,f916(f916(x43382,a903),a903),x43381),f331(x43382)),x43383)),x43384)),f329(f313(x43381,x43382,x43383),x43384))
% 191.26/191.45 [4428]E(f329(f267(x44281),f329(f329(f7(x44281,f916(f915(x44282,x44281),a903),a903),f329(f329(f8(f915(x44282,x44281),f916(f916(f915(x44282,x44281),a903),a903),x44281),f331(f915(x44282,x44281))),f329(f257(x44282,x44281),x44283))),x44284)),f329(f288(x44282,x44281,x44284),f329(f329(f311(x44282),x44283),f191(f916(x44282,a903)))))
% 191.26/191.45 [4442]E(f329(f329(f157(f915(x44421,a908),x44421),f256(x44421,a908)),f329(f139(f915(x44421,a908),f329(f329(f8(a908,a903,f915(x44421,a908)),x44422),f329(f329(f8(a908,a908,f915(x44421,a908)),a117),f261(x44421,a908)))),f329(f329(f184(x44421,a908),x44423),x44424))),f329(f329(f157(f915(x44421,a908),x44421),f256(x44421,a908)),f329(f139(f915(x44421,a908),f329(f329(f8(a908,a903,f915(x44421,a908)),x44422),f261(x44421,a908))),f329(f329(f184(x44421,a908),x44423),f329(f329(f157(a908,a908),a117),x44424)))))
% 191.26/191.45 [4451]P1(f329(f329(f240(f916(f916(x44511,a903),a903)),f329(f329(f40(x44512,f916(f916(x44511,a903),a903)),x44513),f329(f329(f8(f916(x44511,a903),f916(f916(x44511,a903),a903),x44512),f310(x44511)),x44514))),f329(f310(x44511),f329(f329(f40(x44512,f916(x44511,a903)),x44513),x44514))))
% 191.26/191.45 [4492]E(f329(f329(f88(a1,x44921),f329(f108(a1),f329(f329(f82(a1),x44922),a102))),f329(f329(f18(a1,x44921,x44921),f329(f329(f7(a1,x44921,f916(x44921,x44921)),f329(f329(f8(a903,f916(x44921,f916(x44921,x44921)),a1),f99(x44921)),a196)),x44923)),f329(f329(f18(a1,x44921,x44921),f329(f329(f8(a908,f916(x44921,x44921),a1),x44924),a109)),f329(f329(f8(a908,x44921,a1),f187(x44921,x44923,x44924)),a109)))),f329(f187(x44921,x44923,x44924),f329(f108(a908),x44922)))
% 191.26/191.45 [4516]E(f329(f267(f915(x45161,x45162)),f329(f262(x45161,x45162,a903),f329(f329(f7(x45161,f916(x45162,a903),f916(x45162,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x45162,a903),f916(x45162,a903)),x45161),f8(a903,a903,x45162)),f329(f329(f8(a903,f916(a903,a903),x45161),a327),f329(f329(f7(x45161,f916(x45161,a903),a903),f331(x45161)),x45163)))),f329(f329(f7(x45162,f916(x45162,a903),a903),f331(x45162)),x45164)))),f233(x45161,x45162,x45163,x45164))
% 191.26/191.45 [4552]E(f329(f329(f40(x45521,f916(f915(x45521,x45522),a903)),x45523),f329(f329(f18(x45521,f916(x45522,f916(f915(x45521,x45522),a903)),f916(f915(x45521,x45522),a903)),f329(f329(f8(f916(x45522,a903),f916(f916(x45522,f916(f915(x45521,x45522),a903)),f916(f915(x45521,x45522),a903)),x45521),f40(x45522,f916(f915(x45521,x45522),a903))),x45524)),f329(f329(f7(x45521,f916(f915(x45521,x45522),a903),f916(x45522,f916(f915(x45521,x45522),a903))),f329(f329(f8(f916(x45522,f916(f916(f915(x45521,x45522),a903),f916(f915(x45521,x45522),a903))),f916(f916(f915(x45521,x45522),a903),f916(x45522,f916(f915(x45521,x45522),a903))),x45521),f7(x45522,f916(f915(x45521,x45522),a903),f916(f915(x45521,x45522),a903))),f329(f329(f8(f916(x45522,f915(x45521,x45522)),f916(x45522,f916(f916(f915(x45521,x45522),a903),f916(f915(x45521,x45522),a903))),x45521),f329(f8(f915(x45521,x45522),f916(f916(f915(x45521,x45522),a903),f916(f915(x45521,x45522),a903)),x45522),f311(f915(x45521,x45522)))),f257(x45521,x45522)))),f191(f916(f915(x45521,x45522),a903))))),f329(f329(f259(x45521,x45522),x45523),x45524))
% 191.26/191.45 [4119]E(f329(f329(f137(x41191),f329(f329(f178(x41191),x41192),x41193)),f329(f329(f178(x41191),f329(f329(f23(a908),x41192),f329(f192(f909(x41191)),x41193))),x41194)),f329(f329(f178(x41191),x41192),f329(f329(f137(x41191),x41193),x41194)))
% 191.26/191.45 [4120]E(f329(f329(f137(x41201),f329(f329(f141(x41201),x41202),x41203)),f329(f329(f141(x41201),f329(f329(f23(a908),x41202),f329(f192(f909(x41201)),x41203))),x41204)),f329(f329(f141(x41201),x41202),f329(f329(f137(x41201),x41203),x41204)))
% 191.26/191.45 [4169]E(f329(f329(f82(a908),f329(f329(f83(a908),x41691),x41692)),f329(f329(f82(a908),f329(f329(f83(a908),x41693),x41692)),x41694)),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f82(a908),x41691),x41693)),x41692)),x41694))
% 191.26/191.45 [4314]E(f92(x43141,f329(f329(f7(x43141,x43142,a903),f329(f329(f8(x43142,f916(x43142,a903),x43141),a326),x43143)),x43144)),f329(f94(x43141,x43142,f247(f916(x43141,a903)),x43143),x43144))
% 191.26/191.45 [4362]P1(f329(f329(f240(f916(x43621,a903)),f329(f329(f23(f916(x43621,a903)),f329(f287(x43622,x43621),x43623)),f329(f287(x43622,x43621),x43624))),f329(f287(x43622,x43621),f329(f329(f23(f916(f915(x43622,x43621),a903)),x43623),x43624))))
% 191.26/191.45 [4363]P1(f329(f329(f240(f916(x43631,a903)),f329(f329(f23(f916(x43631,a903)),f329(f269(x43631,x43632),x43633)),f329(f269(x43631,x43632),x43634))),f329(f269(x43631,x43632),f329(f329(f23(f916(f915(x43631,x43632),a903)),x43633),x43634))))
% 191.26/191.45 [4471]E(f329(f329(f82(a1),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x44711),x44712)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x44713),x44714)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),f329(f329(f82(a908),x44711),x44713)),f329(f329(f82(a908),x44712),x44714))),f191(f916(f915(a908,a908),a903))))))
% 191.26/191.45 [4511]E(f329(f329(f83(a1),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x45111),x45112)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x45113),x45114)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),f329(f329(f82(a908),f329(f329(f83(a908),x45111),x45113)),f329(f329(f83(a908),x45112),x45114))),f329(f329(f82(a908),f329(f329(f83(a908),x45111),x45114)),f329(f329(f83(a908),x45112),x45113)))),f191(f916(f915(a908,a908),a903))))))
% 191.26/191.45 [4532]E(f329(f267(x45321),f329(f329(f8(f916(x45322,a903),a903,x45321),f90(x45322)),f329(f329(f8(f916(x45322,a903),f916(x45322,a903),x45321),f329(f18(x45322,a903,a903),f329(f329(f8(a903,f916(a903,a903),x45322),a332),f329(f329(f7(x45322,f916(x45322,a903),a903),f331(x45322)),x45323)))),f329(f329(f7(x45321,f916(x45322,f916(x45321,a903)),f916(x45322,a903)),f329(f329(f8(f916(f916(x45321,a903),a903),f916(f916(x45322,f916(x45321,a903)),f916(x45322,a903)),x45321),f8(f916(x45321,a903),a903,x45322)),f331(x45321))),x45324)))),f329(f329(f41(x45322,f916(x45321,a903)),x45323),x45324))
% 191.26/191.45 [4565]E(f329(f329(f291(x45651,x45651,x45651),f329(f329(f311(f915(x45651,x45651)),f329(f329(f257(x45651,x45651),x45652),x45653)),x45654)),f309(x45651,f329(f329(f311(f915(x45651,x45651)),f329(f329(f257(x45651,x45651),x45652),x45653)),x45654))),f329(f329(f115(f916(f915(x45651,x45651),a903)),f329(f329(f291(x45651,x45651,x45651),x45654),f309(x45651,x45654))),f329(f267(f915(x45651,x45651)),f329(f262(x45651,x45651,a903),f329(f329(f7(x45651,f916(x45651,a903),f916(x45651,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x45651,a903),f916(x45651,a903)),x45651),f8(a903,a903,x45651)),f329(f329(f8(a903,f916(a903,a903),x45651),a327),f329(f329(f7(x45651,f916(f915(x45651,x45651),a903),a903),f329(f329(f8(f915(x45651,x45651),f916(f916(f915(x45651,x45651),a903),a903),x45651),f331(f915(x45651,x45651))),f329(f329(f7(x45651,x45651,f915(x45651,x45651)),f257(x45651,x45651)),x45652))),f309(x45651,x45654))))),f329(f329(f7(x45651,f916(f915(x45651,x45651),a903),a903),f329(f329(f8(f915(x45651,x45651),f916(f916(f915(x45651,x45651),a903),a903),x45651),f331(f915(x45651,x45651))),f329(f257(x45651,x45651),x45653))),f309(x45651,x45654)))))))
% 191.26/191.45 [4364]E(f329(f139(x43641,f329(f329(f18(x43641,a903,a903),f329(f329(f8(a903,f916(a903,a903),x43641),a327),x43642)),x43643)),x43644),f329(f139(x43641,x43643),f329(f139(x43641,x43642),x43644)))
% 191.26/191.45 [4465]E(f329(f329(f137(x44651),f329(f329(f329(f99(f909(x44651)),f329(f329(f331(a908),f2(a908)),x44652)),f329(f329(f154(x44651),x44653),f118(x44651))),f118(x44651))),f179(x44651,x44654,f329(f267(a908),f329(f329(f7(a908,f916(a908,a903),a903),f329(f329(f8(a908,f916(f916(a908,a903),a903),a908),f331(a908)),a117)),x44652)))),f179(x44651,f329(f329(f154(x44651),x44653),x44654),x44652))
% 191.26/191.45 [4561]E(f329(f267(f915(x45611,x45612)),f329(f329(f8(f916(a908,a903),a903,f915(x45611,x45612)),f89(a908)),f329(f329(f7(f915(x45611,x45612),f916(a908,a903),f916(a908,a903)),f329(f329(f8(f916(a908,f916(a903,a903)),f916(f916(a908,a903),f916(a908,a903)),f915(x45611,x45612)),f18(a908,a903,a903)),f329(f329(f8(f916(a908,a903),f916(a908,f916(a903,a903)),f915(x45611,x45612)),f329(f8(a903,f916(a903,a903),a908),a327)),f329(f329(f7(f915(x45611,x45612),f916(a908,f915(x45611,x45612)),f916(a908,a903)),f329(f329(f8(f916(f915(x45611,x45612),a903),f916(f916(a908,f915(x45611,x45612)),f916(a908,a903)),f915(x45611,x45612)),f8(f915(x45611,x45612),a903,a908)),a326)),f329(f329(f18(a908,x45612,f915(x45611,x45612)),f329(f329(f8(x45611,f916(x45612,f915(x45611,x45612)),a908),f257(x45611,x45612)),f329(f167(x45611),x45613))),f329(f167(x45612),x45614)))))),f329(f329(f7(a908,a908,a903),f241(a908)),f329(f329(f238(a908),f329(f192(f909(x45611)),x45613)),f329(f192(f909(x45612)),x45614)))))),f329(f175(f915(x45611,x45612)),f329(f329(f184(x45611,x45612),x45613),x45614)))
% 191.26/191.45 [4484]E(f329(f267(f915(x44841,x44842)),f329(f262(x44841,x44842,a903),f329(f329(f7(x44841,f916(x44842,a903),f916(x44842,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x44842,a903),f916(x44842,a903)),x44841),f8(a903,a903,x44842)),f329(f329(f8(a903,f916(a903,a903),x44841),a327),x44843))),x44844))),f329(f329(f259(x44841,x44842),f329(f267(x44841),x44843)),f329(f16(f916(x44842,a903),x44841),f329(f267(x44842),x44844))))
% 191.26/191.45 [4487]E(f329(f267(f915(x44871,x44872)),f329(f262(x44871,x44872,a903),f329(f329(f18(x44871,f916(x44872,a903),f916(x44872,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x44872,a903),f916(x44872,a903)),x44871),f8(a903,a903,x44872)),f329(f329(f8(a903,f916(a903,a903),x44871),a327),x44873))),x44874))),f329(f329(f259(x44871,x44872),f329(f267(x44871),x44873)),f329(f329(f8(f916(x44872,a903),f916(x44872,a903),x44871),f267(x44872)),x44874)))
% 191.26/191.45 [4499]E(f329(f267(x44991),f329(f329(f8(f916(x44992,a903),a903,x44991),f90(x44992)),f329(f329(f8(f916(x44992,a903),f916(x44992,a903),x44991),f329(f18(x44992,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44992),a332),f329(f329(f7(x44992,f916(x44992,a903),a903),f331(x44992)),x44993)))),x44994))),f329(f329(f41(x44992,f916(x44991,a903)),x44993),f329(f329(f8(f916(x44991,a903),f916(x44991,a903),x44992),f267(x44991)),f329(f7(x44991,x44992,a903),x44994))))
% 191.26/191.45 [4544]E(f329(f329(f157(f915(x45441,a908),x45441),f256(x45441,a908)),f329(f139(f915(x45441,a908),f329(f329(f7(f915(x45441,a908),f916(a908,a903),a903),f329(f329(f8(a908,f916(f916(a908,a903),a903),f915(x45441,a908)),f331(a908)),f261(x45441,a908))),x45442)),f329(f329(f184(x45441,a908),x45443),f142(a908,f329(f304(a908,x45444),f329(f329(f82(a908),x45444),f329(f192(f909(x45441)),x45443))))))),f329(f329(f157(f915(x45441,a908),x45441),f256(x45441,a908)),f329(f139(f915(x45441,a908),f329(f329(f7(f915(x45441,a908),f916(a908,a903),a903),f329(f329(f8(a908,f916(f916(a908,a903),a903),f915(x45441,a908)),f331(a908)),f329(f329(f7(f915(x45441,a908),a908,a908),f329(f329(f8(a908,f916(a908,a908),f915(x45441,a908)),f82(a908)),f261(x45441,a908))),x45444))),x45442)),f329(f329(f184(x45441,a908),x45443),f142(a908,f329(f304(a908,f2(a908)),f329(f192(f909(x45441)),x45443)))))))
% 191.26/191.45 [4545]E(f329(a117,f329(f329(f239(a908),f329(f192(f909(x45451)),x45452)),f329(f145(a908,f909(x45453),f329(f7(f909(x45453),a908,a908),f329(f329(f8(a908,f916(a908,a908),f909(x45453)),f239(a908)),f329(f329(f7(f909(x45453),a908,a908),f329(f329(f8(a908,f916(a908,a908),f909(x45453)),f23(a908)),f192(f909(x45453)))),f329(a117,f2(a908))))),f2(a908)),f329(f171(f909(x45453)),f329(f139(f909(x45453),f329(f329(f8(a903,a903,f909(x45453)),a324),f329(f329(f7(f909(x45453),f909(x45453),a903),a326),f118(x45453)))),x45454))))),f329(f329(f239(a908),f329(a117,f329(f192(f909(x45451)),x45452))),f329(f145(a908,f909(x45453),f329(f7(f909(x45453),a908,a908),f329(f329(f8(a908,f916(a908,a908),f909(x45453)),f239(a908)),f192(f909(x45453)))),f2(a908)),f329(f171(f909(x45453)),x45454))))
% 191.26/191.45 [4498]E(f329(f329(f137(x44981),f179(x44981,x44982,x44983)),f179(x44981,x44984,f329(f267(a908),f329(f329(f7(a908,f916(a908,a903),a903),f329(f329(f8(a908,f916(f916(a908,a903),a903),a908),f331(a908)),f329(f329(f7(a908,a908,a908),f82(a908)),f329(f192(f909(x44981)),x44982)))),x44983)))),f179(x44981,f329(f329(f137(x44981),x44982),x44984),x44983))
% 191.26/191.45 [4546]E(f38(f916(x45461,a903),f329(f267(f916(x45461,a903)),f329(f329(f8(f916(x45462,a903),a903,f916(x45461,a903)),f89(x45462)),f329(f329(f8(f916(x45462,a903),f916(x45462,a903),f916(x45461,a903)),f329(f18(x45462,a903,a903),f329(f329(f8(a903,f916(a903,a903),x45462),a327),f329(f329(f7(x45462,f916(x45462,a903),a903),f331(x45462)),x45463)))),f329(f329(f7(f916(x45461,a903),f916(x45462,f916(x45461,a903)),f916(x45462,a903)),f329(f329(f8(f916(f916(x45461,a903),a903),f916(f916(x45462,f916(x45461,a903)),f916(x45462,a903)),f916(x45461,a903)),f8(f916(x45461,a903),a903,x45462)),a326)),x45464))))),f329(f329(f40(x45462,f916(x45461,a903)),x45463),x45464))
% 191.26/191.45 [4547]E(f39(f916(x45471,a903),f329(f267(f916(x45471,a903)),f329(f329(f8(f916(x45472,a903),a903,f916(x45471,a903)),f89(x45472)),f329(f329(f8(f916(x45472,a903),f916(x45472,a903),f916(x45471,a903)),f329(f18(x45472,a903,a903),f329(f329(f8(a903,f916(a903,a903),x45472),a327),f329(f329(f7(x45472,f916(x45472,a903),a903),f331(x45472)),x45473)))),f329(f329(f7(f916(x45471,a903),f916(x45472,f916(x45471,a903)),f916(x45472,a903)),f329(f329(f8(f916(f916(x45471,a903),a903),f916(f916(x45472,f916(x45471,a903)),f916(x45472,a903)),f916(x45471,a903)),f8(f916(x45471,a903),a903,x45472)),a326)),x45474))))),f329(f329(f41(x45472,f916(x45471,a903)),x45473),x45474))
% 191.26/191.45 [4554]E(f329(f329(f154(f909(x45541)),f329(f329(f154(x45541),x45542),f329(f145(f909(x45541),f909(x45541),f137(x45541),f118(x45541)),f329(f329(f157(f909(x45541),f909(x45541)),f159(f909(x45541),x45541,f118(x45541),f329(f329(f8(f909(x45541),f916(f909(x45541),f909(x45541)),x45541),f16(f909(x45541),f909(x45541))),f329(f329(f7(x45541,f909(x45541),f909(x45541)),f154(x45541)),f118(x45541))))),x45543)))),f182(x45541,f329(f329(f154(f909(x45541)),x45544),f329(f145(f909(f909(x45541)),f909(f909(x45541)),f137(f909(x45541)),f118(f909(x45541))),f329(f329(f157(f909(x45541),f909(f909(x45541))),f159(f909(f909(x45541)),x45541,f118(f909(x45541)),f329(f16(f916(f909(x45541),f909(f909(x45541))),x45541),f329(f329(f7(f909(x45541),f909(f909(x45541)),f909(f909(x45541))),f154(f909(x45541))),f118(f909(x45541)))))),x45543))))),f182(x45541,f329(f329(f154(f909(x45541)),f329(f329(f154(x45541),x45542),x45544)),x45543)))
% 191.26/191.45 [4562]E(f329(f267(f915(x45621,x45621)),f329(f262(x45621,x45621,a903),f329(f329(f7(x45621,f916(f915(x45622,x45622),a903),f916(x45621,a903)),f329(f329(f8(f916(x45621,f916(f916(f915(x45622,x45622),a903),a903)),f916(f916(f915(x45622,x45622),a903),f916(x45621,a903)),x45621),f7(x45621,f916(f915(x45622,x45622),a903),a903)),f329(f329(f8(f916(x45621,f915(x45622,x45622)),f916(x45621,f916(f916(f915(x45622,x45622),a903),a903)),x45621),f329(f8(f915(x45622,x45622),f916(f916(f915(x45622,x45622),a903),a903),x45621),f331(f915(x45622,x45622)))),f329(f329(f7(x45621,f916(x45621,x45622),f916(x45621,f915(x45622,x45622))),f329(f329(f8(f916(x45622,f915(x45622,x45622)),f916(f916(x45621,x45622),f916(x45621,f915(x45622,x45622))),x45621),f8(x45622,f915(x45622,x45622),x45621)),f329(f329(f8(x45622,f916(x45622,f915(x45622,x45622)),x45621),f257(x45622,x45622)),x45623))),x45623)))),x45624))),f329(f329(f290(x45622,x45621),x45624),x45623))
% 191.26/191.45 [4618]~E(f32(x46181,x46182),f29(x46183,x46184,x46185))
% 191.26/191.45 [4619]~E(f32(x46191,x46192),f28(x46193,x46194,x46195))
% 191.26/191.45 [4620]~E(f31(x46201,x46202),f29(x46203,x46204,x46205))
% 191.26/191.45 [4621]~E(f31(x46211,x46212),f28(x46213,x46214,x46215))
% 191.26/191.45 [4622]~E(f29(x46221,x46222,x46223),f32(x46224,x46225))
% 191.26/191.45 [4623]~E(f29(x46231,x46232,x46233),f31(x46234,x46235))
% 191.26/191.45 [4624]~E(f28(x46241,x46242,x46243),f32(x46244,x46245))
% 191.26/191.45 [4625]~E(f28(x46251,x46252,x46253),f31(x46254,x46255))
% 191.26/191.45 [3697]E(f329(f329(f157(x36971,x36972),x36973),f172(x36971,x36974,x36975)),f172(x36972,x36974,f329(x36973,x36975)))
% 191.26/191.45 [4263]E(f329(f76(x42631,x42632,x42633,x42634,x42635),x42634),x42635)
% 191.26/191.45 [4315]E(f258(x43151,x43152,x43153,f248(x43152,x43151,x43154),f248(x43153,x43152,x43155)),f248(x43153,x43151,f258(x43153,x43152,x43151,x43155,x43154)))
% 191.26/191.45 [3891]E(f329(f329(f262(x38911,x38912,x38913),x38914),x38915),f329(f329(x38914,f329(f256(x38911,x38912),x38915)),f329(f261(x38911,x38912),x38915)))
% 191.26/191.45 [3927]E(f329(f329(f329(f66(x39271,x39272,x39273),x39274),x39275),f191(f916(x39272,a903))),x39275)
% 191.26/191.45 [4203]E(f329(f74(f909(x42031),f909(x42032),f909(x42033),f329(f157(x42031,x42032),x42034)),f329(f157(x42033,x42031),x42035)),f329(f157(x42033,x42032),f329(f74(x42031,x42032,x42033,x42034),x42035)))
% 191.26/191.45 [4277]E(f87(x42771,f67(x42772,x42771,x42773,x42774,x42775)),f329(f329(f65(x42772,x42771,x42773),x42774),x42775))
% 191.26/191.45 [4311]E(f329(f329(f82(a908),f329(f329(f82(a908),f329(x43111,f329(f256(x43112,x43113),x43114))),f329(x43115,f329(f261(x43112,x43113),x43114)))),f329(a117,f2(a908))),f266(x43112,x43113,x43111,x43115,x43114))
% 191.26/191.45 [3827]E(f329(f329(f178(x38271),x38272),f329(f329(f157(x38273,x38271),x38274),x38275)),f329(f329(f157(x38273,x38271),x38274),f329(f329(f178(x38273),x38272),x38275)))
% 191.26/191.45 [3828]E(f329(f329(f141(x38281),x38282),f329(f329(f157(x38283,x38281),x38284),x38285)),f329(f329(f157(x38283,x38281),x38284),f329(f329(f141(x38283),x38282),x38285)))
% 191.26/191.45 [3860]E(f329(f329(f157(x38601,x38602),x38603),f329(f329(f154(x38601),x38604),x38605)),f329(f329(f154(x38602),f329(x38603,x38604)),f329(f329(f157(x38601,x38602),x38603),x38605)))
% 191.26/191.45 [3921]E(f329(f312(x39211,x39212,x39213),f329(f329(f311(x39211),x39214),x39215)),f329(f329(f311(x39212),f329(x39213,x39214)),f329(f312(x39211,x39212,x39213),x39215)))
% 191.26/191.45 [3950]E(f176(x39501,f329(f329(f154(x39501),x39502),x39503),f329(f329(f154(x39501),x39504),x39505)),f329(f329(f154(x39501),x39502),f329(f329(f154(x39501),x39504),f176(x39501,x39503,x39505))))
% 191.26/191.45 [3986]E(f329(f329(f184(x39861,x39862),f329(f329(f178(x39861),x39863),x39864)),f329(f329(f178(x39862),x39863),x39865)),f329(f329(f178(f915(x39861,x39862)),x39863),f329(f329(f184(x39861,x39862),x39864),x39865)))
% 191.26/191.45 [3987]E(f329(f329(f184(x39871,x39872),f329(f329(f141(x39871),x39873),x39874)),f329(f329(f141(x39872),x39873),x39875)),f329(f329(f141(f915(x39871,x39872)),x39873),f329(f329(f184(x39871,x39872),x39874),x39875)))
% 191.26/191.45 [3997]E(f329(f329(f162(x39971,f329(f329(f154(x39971),x39972),x39973)),f329(a117,x39974)),x39975),f329(f329(f154(x39971),x39972),f329(f329(f162(x39971,x39973),x39974),x39975)))
% 191.26/191.45 [4000]E(f329(f329(f137(x40001),f329(f329(f157(x40002,x40001),x40003),x40004)),f329(f329(f157(x40002,x40001),x40003),x40005)),f329(f329(f157(x40002,x40001),x40003),f329(f329(f137(x40002),x40004),x40005)))
% 191.26/191.45 [4004]E(f329(f329(x40041,x40042),f329(f329(f250(x40043,x40044,x40041),x40042),x40045)),f329(f329(f250(x40043,x40044,x40041),x40042),f329(a117,x40045)))
% 191.26/191.45 [4035]E(f166(x40351,x40352,x40353,f329(f329(f154(x40351),x40354),x40355)),f329(f329(f137(x40352),f329(x40353,x40354)),f166(x40351,x40352,x40353,x40355)))
% 191.26/191.45 [4047]E(f329(f329(f291(x40471,x40472,x40473),f329(f289(x40472,x40471),x40474)),f329(f289(x40473,x40472),x40475)),f329(f289(x40473,x40471),f329(f329(f291(x40473,x40472,x40471),x40475),x40474)))
% 191.26/191.45 [4079]E(f329(f329(f329(f186(f909(x40791),f909(x40791)),x40792),f170(x40791)),f329(f329(f157(x40793,x40791),x40794),x40795)),f329(f329(f157(x40793,x40791),x40794),f329(f329(f329(f186(f909(x40793),f909(x40793)),x40792),f170(x40793)),x40795)))
% 191.26/191.45 [4080]E(f329(f329(f264(x40801,x40802,x40801,x40803),f329(f257(x40802,x40801),x40804)),x40805),f329(x40805,x40804))
% 191.26/191.45 [4106]E(f158(x41061,x41062,f329(f329(f157(x41063,x41061),x41064),x41065)),f158(x41063,f329(f74(x41061,a908,x41063,x41062),x41064),x41065))
% 191.26/191.45 [4168]E(f180(f915(x41681,x41682),f329(f74(x41682,a903,f915(x41681,x41682),x41683),f261(x41681,x41682)),f329(f329(f184(x41681,x41682),x41684),x41685)),f329(f329(f184(x41681,x41682),x41684),f180(x41682,x41683,x41685)))
% 191.26/191.45 [4173]E(f329(f312(x41731,x41732,f329(f329(f8(x41733,x41732,x41731),x41734),x41735)),f247(f916(x41731,a903))),f329(f312(x41733,x41732,x41734),f329(f312(x41731,x41733,x41735),f247(f916(x41731,a903)))))
% 191.26/191.45 [4186]E(f180(f915(x41861,x41862),f329(f74(x41861,a903,f915(x41861,x41862),x41863),f256(x41861,x41862)),f329(f329(f184(x41861,x41862),x41864),x41865)),f329(f329(f184(x41861,x41862),f180(x41861,x41863,x41864)),x41865))
% 191.26/191.45 [4207]E(f329(f329(f115(f916(x42071,a903)),f329(f313(x42071,x42072,x42073),f329(f329(f311(x42072),x42074),f191(f916(x42072,a903))))),f329(f313(x42071,x42072,x42073),x42075)),f329(f313(x42071,x42072,x42073),f329(f329(f311(x42072),x42074),x42075)))
% 191.26/191.45 [4262]E(f329(f329(f137(f915(x42621,x42622)),f329(f329(f157(x42622,f915(x42621,x42622)),f329(f257(x42621,x42622),x42623)),x42624)),f60(x42621,x42622,x42625,x42624)),f60(x42621,x42622,f329(f329(f154(x42621),x42623),x42625),x42624))
% 191.26/191.45 [4264]E(f329(f329(f157(x42641,x42642),x42643),f180(x42641,f329(f74(x42642,a903,x42641,x42644),x42643),x42645)),f180(x42642,x42644,f329(f329(f157(x42641,x42642),x42643),x42645)))
% 191.26/191.45 [4269]E(f329(f145(x42691,x42692,f329(f7(x42692,x42691,x42691),f329(f7(x42691,x42692,x42691),x42693)),x42694),f329(f171(x42692),f329(f171(x42692),x42695))),f329(f145(x42691,x42692,x42693,x42694),x42695))
% 191.26/191.45 [4372]P1(f329(f329(f240(f916(x43721,a903)),f329(f312(x43722,x43721,x43723),f329(f329(f106(f916(x43722,a903)),x43724),x43725))),f329(f329(f106(f916(x43721,a903)),f329(f312(x43722,x43721,x43723),x43724)),f329(f312(x43722,x43721,x43723),x43725))))
% 191.26/191.45 [4373]P1(f329(f329(f240(f916(x43731,a903)),f329(f288(x43732,x43731,x43733),f329(f329(f106(f916(x43732,a903)),x43734),x43735))),f329(f329(f106(f916(x43731,a903)),f329(f288(x43732,x43731,x43733),x43734)),f329(f288(x43732,x43731,x43733),x43735))))
% 191.26/191.45 [4472]E(f329(f261(x44721,x44722),f329(f263(x44723,x44721,x44722,x44722,x44724,f33(x44722)),x44725)),f329(f261(x44723,x44722),x44725))
% 191.26/191.45 [4473]E(f329(f256(x44731,x44732),f329(f263(x44731,x44731,x44733,x44732,f33(x44731),x44734),x44735)),f329(f256(x44731,x44733),x44735))
% 191.26/191.45 [4560]P29(x45601,x45602,f329(f329(f311(f907(x45601)),f329(f329(f329(f93(x45601),f329(f329(f7(x45601,f916(a905,a903),f916(a905,a903)),f329(f329(f8(f916(a905,f916(a903,a903)),f916(f916(a905,a903),f916(a905,a903)),x45601),f18(a905,a903,a903)),f329(f329(f8(f916(a905,a903),f916(a905,f916(a903,a903)),x45601),f329(f8(a903,f916(a903,a903),a905),a327)),x45603))),f329(f329(f8(a903,a903,a905),a324),x45604))),f31(x45604,x45605)),x45603)),f191(f916(f907(x45601),a903))))
% 191.26/191.45 [3667]E(f329(f329(f329(f329(f208(x36671),x36672),x36673),x36674),x36675),f195(x36671,x36672))
% 191.26/191.45 [3668]E(f329(f329(f329(f329(f212(x36681),x36682),x36683),x36684),x36685),f203(x36681,x36682))
% 191.26/191.45 [3713]E(f96(x37131,x37132,f329(f329(f329(f93(x37131),x37133),x37134),x37135)),f2(a908))
% 191.26/191.45 [4036]E(f329(f329(f40(x40361,f916(x40362,a903)),f329(f329(f311(x40361),x40363),x40364)),x40365),f329(f329(f115(f916(x40362,a903)),f329(x40365,x40363)),f329(f329(f40(x40361,f916(x40362,a903)),x40364),x40365)))
% 191.26/191.45 [4037]E(f329(f329(f41(x40371,f916(x40372,a903)),f329(f329(f311(x40371),x40373),x40374)),x40375),f329(f329(f106(f916(x40372,a903)),f329(x40375,x40373)),f329(f329(f41(x40371,f916(x40372,a903)),x40374),x40375)))
% 191.26/191.45 [4087]E(f329(f123(x40871,x40872,f329(x40873,x40874)),f329(f329(f7(x40871,a104,f910(x40872)),x40875),x40874)),f329(f201(x40871,x40872,x40873,x40875),x40874))
% 191.26/191.45 [4100]E(f329(f329(f115(f916(x41001,a903)),f329(f312(x41002,x41001,x41003),x41004)),f329(f312(x41002,x41001,x41003),x41005)),f329(f312(x41002,x41001,x41003),f329(f329(f115(f916(x41002,a903)),x41004),x41005)))
% 191.26/191.45 [4101]E(f329(f329(f115(f916(x41011,a903)),f329(f288(x41012,x41011,x41013),x41014)),f329(f288(x41012,x41011,x41013),x41015)),f329(f288(x41012,x41011,x41013),f329(f329(f115(f916(x41012,a903)),x41014),x41015)))
% 191.26/191.45 [4102]E(f329(f329(f115(f916(x41021,a903)),f329(f313(x41021,x41022,x41023),x41024)),f329(f313(x41021,x41022,x41023),x41025)),f329(f313(x41021,x41022,x41023),f329(f329(f115(f916(x41022,a903)),x41024),x41025)))
% 191.26/191.45 [4103]E(f329(f329(f23(f916(x41031,a903)),f329(f313(x41031,x41032,x41033),x41034)),f329(f313(x41031,x41032,x41033),x41035)),f329(f313(x41031,x41032,x41033),f329(f329(f23(f916(x41032,a903)),x41034),x41035)))
% 191.26/191.45 [4104]E(f329(f329(f106(f916(x41041,a903)),f329(f313(x41041,x41042,x41043),x41044)),f329(f313(x41041,x41042,x41043),x41045)),f329(f313(x41041,x41042,x41043),f329(f329(f106(f916(x41042,a903)),x41044),x41045)))
% 191.26/191.45 [4164]E(f329(f329(f162(x41641,f329(f329(f137(x41641),x41642),f329(f329(f154(x41641),x41643),x41644))),f329(f192(f909(x41641)),x41642)),x41645),f329(f329(f137(x41641),x41642),f329(f329(f154(x41641),x41645),x41644)))
% 191.26/191.45 [4171]E(f329(f329(f41(x41711,f916(x41712,a903)),x41713),f329(f329(f8(f916(x41712,a903),f916(x41712,a903),x41711),f329(f311(x41712),x41714)),x41715)),f329(f329(f311(x41712),x41714),f329(f329(f41(x41711,f916(x41712,a903)),x41713),x41715)))
% 191.26/191.45 [4324]E(f329(f329(f157(x43241,x43242),x43243),f329(f139(x43241,f329(f74(x43242,a903,x43241,x43244),x43243)),x43245)),f329(f139(x43242,x43244),f329(f329(f157(x43241,x43242),x43243),x43245)))
% 191.26/191.45 [4330]E(f329(f192(f909(x43301)),f329(f139(x43301,x43302),f329(f329(f157(x43303,x43301),x43304),x43305))),f329(f192(f909(x43303)),f329(f139(x43303,f329(f74(x43301,a903,x43303,x43302),x43304)),x43305)))
% 191.26/191.45 [4537]E(f329(f159(f909(f915(x45371,x45372)),x45372,f118(f915(x45371,x45372)),f329(f329(f7(x45372,f916(f909(x45372),f909(f915(x45371,x45372))),f916(f909(x45372),f909(f915(x45371,x45372)))),f329(f329(f8(f916(f909(f915(x45371,x45372)),f909(f915(x45371,x45372))),f916(f916(f909(x45372),f909(f915(x45371,x45372))),f916(f909(x45372),f909(f915(x45371,x45372)))),x45372),f8(f909(f915(x45371,x45372)),f909(f915(x45371,x45372)),f909(x45372))),f329(f329(f8(f915(x45371,x45372),f916(f909(f915(x45371,x45372)),f909(f915(x45371,x45372))),x45372),f154(f915(x45371,x45372))),f329(f257(x45371,x45372),x45373)))),f329(f184(x45371,x45372),x45374))),x45375),f329(f329(f184(x45371,x45372),f329(f329(f154(x45371),x45373),x45374)),x45375))
% 191.26/191.45 [4029]E(f329(f329(f162(x40291,f329(f329(f162(x40291,x40292),x40293),x40294)),x40293),x40295),f329(f329(f162(x40291,x40292),x40293),x40295))
% 191.26/191.45 [4081]E(f329(f287(x40811,x40812),f329(f329(f311(f915(x40811,x40812)),f329(f329(f257(x40811,x40812),x40813),x40814)),x40815)),f329(f329(f311(x40812),x40814),f329(f287(x40811,x40812),x40815)))
% 191.26/191.45 [4082]E(f329(f269(x40821,x40822),f329(f329(f311(f915(x40821,x40822)),f329(f329(f257(x40821,x40822),x40823),x40824)),x40825)),f329(f329(f311(x40821),x40823),f329(f269(x40821,x40822),x40825)))
% 191.26/191.45 [4129]E(f126(x41291,x41292,f329(x41293,x41294),f329(f329(f7(x41291,a104,f910(f912(x41292))),x41295),x41294)),f329(f199(x41291,x41292,x41293,x41295),x41294))
% 191.26/191.45 [4157]E(f329(f329(f115(f916(f915(x41571,x41572),a903)),f329(f329(f259(x41571,x41572),x41573),x41574)),f329(f329(f259(x41571,x41572),x41575),x41574)),f329(f329(f259(x41571,x41572),f329(f329(f115(f916(x41571,a903)),x41573),x41575)),x41574))
% 191.26/191.45 [4158]E(f329(f329(f23(f916(f915(x41581,x41582),a903)),f329(f329(f259(x41581,x41582),x41583),x41584)),f329(f329(f259(x41581,x41582),x41585),x41584)),f329(f329(f259(x41581,x41582),f329(f329(f23(f916(x41581,a903)),x41583),x41585)),x41584))
% 191.26/191.45 [4159]E(f329(f329(f106(f916(f915(x41591,x41592),a903)),f329(f329(f259(x41591,x41592),x41593),x41594)),f329(f329(f259(x41591,x41592),x41595),x41594)),f329(f329(f259(x41591,x41592),f329(f329(f106(f916(x41591,a903)),x41593),x41595)),x41594))
% 191.26/191.45 [4218]E(f329(f329(f115(f916(x42181,a903)),f329(f329(f40(x42182,f916(x42181,a903)),x42183),x42184)),f329(f329(f40(x42182,f916(x42181,a903)),x42185),x42184)),f329(f329(f40(x42182,f916(x42181,a903)),f329(f329(f115(f916(x42182,a903)),x42183),x42185)),x42184))
% 191.26/191.45 [4219]E(f329(f329(f106(f916(x42191,a903)),f329(f329(f41(x42192,f916(x42191,a903)),x42193),x42194)),f329(f329(f41(x42192,f916(x42191,a903)),x42195),x42194)),f329(f329(f41(x42192,f916(x42191,a903)),f329(f329(f115(f916(x42192,a903)),x42193),x42195)),x42194))
% 191.26/191.45 [4233]E(f329(f329(f40(x42331,f916(x42332,a903)),x42333),f329(f329(f8(f916(x42332,a903),f916(x42332,a903),x42331),f329(f23(f916(x42332,a903)),x42334)),x42335)),f329(f329(f23(f916(x42332,a903)),x42334),f329(f329(f41(x42331,f916(x42332,a903)),x42333),x42335)))
% 191.26/191.45 [4234]E(f329(f329(f40(x42341,f916(x42342,a903)),x42343),f329(f329(f8(f916(x42342,a903),f916(x42342,a903),x42341),f329(f106(f916(x42342,a903)),x42344)),x42345)),f329(f329(f106(f916(x42342,a903)),x42344),f329(f329(f40(x42341,f916(x42342,a903)),x42343),x42345)))
% 191.26/191.45 [4235]E(f329(f329(f41(x42351,f916(x42352,a903)),x42353),f329(f329(f8(f916(x42352,a903),f916(x42352,a903),x42351),f329(f115(f916(x42352,a903)),x42354)),x42355)),f329(f329(f115(f916(x42352,a903)),x42354),f329(f329(f41(x42351,f916(x42352,a903)),x42353),x42355)))
% 191.26/191.45 [4289]E(f188(f909(x42891),f329(f329(f154(x42891),x42892),x42893),f329(f329(f8(f909(x42891),f909(x42891),a908),f329(f154(x42891),x42894)),f329(f329(f7(a908,x42891,f909(x42891)),f162(x42891,x42893)),x42892)),x42895),f329(f329(f162(x42891,f329(f329(f154(x42891),x42894),x42893)),x42895),x42892))
% 191.26/191.45 [4293]E(f329(f329(f40(x42931,f916(f915(x42932,x42933),a903)),x42934),f329(f329(f8(f916(f915(x42933,x42932),a903),f916(f915(x42932,x42933),a903),x42931),f289(x42933,x42932)),x42935)),f329(f289(x42933,x42932),f329(f329(f40(x42931,f916(f915(x42933,x42932),a903)),x42934),x42935)))
% 191.26/191.45 [4294]E(f329(f329(f41(x42941,f916(f915(x42942,x42943),a903)),x42944),f329(f329(f8(f916(f915(x42943,x42942),a903),f916(f915(x42942,x42943),a903),x42941),f289(x42943,x42942)),x42945)),f329(f289(x42943,x42942),f329(f329(f41(x42941,f916(f915(x42943,x42942),a903)),x42944),x42945)))
% 191.26/191.45 [4395]P1(f329(f329(f240(f916(x43951,a903)),f329(f329(f23(f916(x43951,a903)),f329(f312(x43952,x43951,x43953),x43954)),f329(f312(x43952,x43951,x43953),x43955))),f329(f312(x43952,x43951,x43953),f329(f329(f23(f916(x43952,a903)),x43954),x43955))))
% 191.26/191.45 [4540]E(f329(f159(f909(f915(x45401,x45402)),x45401,f118(f915(x45401,x45402)),f329(f329(f7(x45401,f916(f909(x45401),f909(f915(x45401,x45402))),f916(f909(x45401),f909(f915(x45401,x45402)))),f329(f329(f8(f916(f909(f915(x45401,x45402)),f909(f915(x45401,x45402))),f916(f916(f909(x45401),f909(f915(x45401,x45402))),f916(f909(x45401),f909(f915(x45401,x45402)))),x45401),f8(f909(f915(x45401,x45402)),f909(f915(x45401,x45402)),f909(x45401))),f329(f329(f8(f915(x45401,x45402),f916(f909(f915(x45401,x45402)),f909(f915(x45401,x45402))),x45401),f154(f915(x45401,x45402))),f329(f329(f7(x45401,x45402,f915(x45401,x45402)),f257(x45401,x45402)),x45403)))),f329(f329(f7(f909(x45401),f909(x45402),f909(f915(x45401,x45402))),f184(x45401,x45402)),x45404))),x45405),f329(f329(f184(x45401,x45402),x45405),f329(f329(f154(x45402),x45403),x45404)))
% 191.26/191.45 [4258]E(f329(f329(f115(f916(x42581,a903)),f329(f288(x42582,x42581,x42583),x42584)),f329(f288(x42582,x42581,x42585),x42584)),f329(f288(x42582,x42581,f329(f329(f115(f916(f915(x42582,x42581),a903)),x42583),x42585)),x42584))
% 191.26/191.45 [4295]E(f329(f329(f137(f915(x42951,x42952)),f329(f329(f184(x42951,x42952),x42953),f329(f329(f178(x42952),f329(f192(f909(x42951)),x42953)),x42954))),f329(f329(f184(x42951,x42952),x42955),f329(f329(f141(x42952),f329(f192(f909(x42951)),x42953)),x42954))),f329(f329(f184(x42951,x42952),f329(f329(f137(x42951),x42953),x42955)),x42954))
% 191.26/191.45 [4398]E(f329(f329(f259(x43981,x43982),x43983),f329(f329(f18(x43981,f916(x43982,a903),f916(x43982,a903)),f329(f329(f8(f916(x43982,a903),f916(f916(x43982,a903),f916(x43982,a903)),x43981),f115(f916(x43982,a903))),x43984)),x43985)),f329(f329(f115(f916(f915(x43981,x43982),a903)),f329(f329(f259(x43981,x43982),x43983),x43984)),f329(f329(f259(x43981,x43982),x43983),x43985)))
% 191.26/191.45 [4399]E(f329(f329(f259(x43991,x43992),x43993),f329(f329(f18(x43991,f916(x43992,a903),f916(x43992,a903)),f329(f329(f8(f916(x43992,a903),f916(f916(x43992,a903),f916(x43992,a903)),x43991),f23(f916(x43992,a903))),x43994)),x43995)),f329(f329(f23(f916(f915(x43991,x43992),a903)),f329(f329(f259(x43991,x43992),x43993),x43994)),f329(f329(f259(x43991,x43992),x43993),x43995)))
% 191.26/191.45 [4400]E(f329(f329(f259(x44001,x44002),x44003),f329(f329(f18(x44001,f916(x44002,a903),f916(x44002,a903)),f329(f329(f8(f916(x44002,a903),f916(f916(x44002,a903),f916(x44002,a903)),x44001),f106(f916(x44002,a903))),x44004)),x44005)),f329(f329(f106(f916(f915(x44001,x44002),a903)),f329(f329(f259(x44001,x44002),x44003),x44004)),f329(f329(f259(x44001,x44002),x44003),x44005)))
% 191.26/191.45 [4404]E(f329(f329(f40(x44041,f916(x44042,a903)),x44043),f329(f329(f7(x44041,f916(x44042,a903),f916(x44042,a903)),f329(f329(f8(f916(x44042,a903),f916(f916(x44042,a903),f916(x44042,a903)),x44041),f23(f916(x44042,a903))),x44044)),x44045)),f329(f329(f23(f916(x44042,a903)),f329(f329(f40(x44041,f916(x44042,a903)),x44043),x44044)),x44045))
% 191.26/191.45 [4405]E(f329(f329(f40(x44051,f916(x44052,a903)),x44053),f329(f329(f7(x44051,f916(x44052,a903),f916(x44052,a903)),f329(f329(f8(f916(x44052,a903),f916(f916(x44052,a903),f916(x44052,a903)),x44051),f106(f916(x44052,a903))),x44054)),x44055)),f329(f329(f106(f916(x44052,a903)),f329(f329(f40(x44051,f916(x44052,a903)),x44053),x44054)),x44055))
% 191.26/191.45 [4406]E(f329(f329(f41(x44061,f916(x44062,a903)),x44063),f329(f329(f7(x44061,f916(x44062,a903),f916(x44062,a903)),f329(f329(f8(f916(x44062,a903),f916(f916(x44062,a903),f916(x44062,a903)),x44061),f115(f916(x44062,a903))),x44064)),x44065)),f329(f329(f115(f916(x44062,a903)),f329(f329(f41(x44061,f916(x44062,a903)),x44063),x44064)),x44065))
% 191.26/191.45 [4410]E(f329(f329(f40(x44101,f916(x44102,a903)),x44103),f329(f329(f18(x44101,f916(x44102,a903),f916(x44102,a903)),f329(f329(f8(f916(x44102,a903),f916(f916(x44102,a903),f916(x44102,a903)),x44101),f115(f916(x44102,a903))),x44104)),x44105)),f329(f329(f115(f916(x44102,a903)),f329(f329(f40(x44101,f916(x44102,a903)),x44103),x44104)),f329(f329(f40(x44101,f916(x44102,a903)),x44103),x44105)))
% 191.26/191.45 [4411]E(f329(f329(f41(x44111,f916(x44112,a903)),x44113),f329(f329(f18(x44111,f916(x44112,a903),f916(x44112,a903)),f329(f329(f8(f916(x44112,a903),f916(f916(x44112,a903),f916(x44112,a903)),x44111),f106(f916(x44112,a903))),x44114)),x44115)),f329(f329(f106(f916(x44112,a903)),f329(f329(f41(x44111,f916(x44112,a903)),x44113),x44114)),f329(f329(f41(x44111,f916(x44112,a903)),x44113),x44115)))
% 191.26/191.45 [4424]E(f329(f329(f40(x44241,f916(x44242,a903)),x44243),f329(f329(f18(x44241,f916(x44242,a903),f916(x44242,a903)),f329(f329(f8(f916(x44242,a903),f916(f916(x44242,a903),f916(x44242,a903)),x44241),f115(f916(x44242,a903))),x44244)),x44245)),f329(f329(f115(f916(x44242,a903)),f38(f916(x44242,a903),f329(f312(x44241,f916(x44242,a903),x44244),x44243))),f38(f916(x44242,a903),f329(f312(x44241,f916(x44242,a903),x44245),x44243))))
% 191.26/191.45 [4425]E(f329(f329(f41(x44251,f916(x44252,a903)),x44253),f329(f329(f18(x44251,f916(x44252,a903),f916(x44252,a903)),f329(f329(f8(f916(x44252,a903),f916(f916(x44252,a903),f916(x44252,a903)),x44251),f106(f916(x44252,a903))),x44254)),x44255)),f329(f329(f106(f916(x44252,a903)),f39(f916(x44252,a903),f329(f312(x44251,f916(x44252,a903),x44254),x44253))),f39(f916(x44252,a903),f329(f312(x44251,f916(x44252,a903),x44255),x44253))))
% 191.26/191.45 [4461]E(f329(f329(f141(x44611),f329(f192(f909(x44611)),f180(x44611,x44612,f329(f329(f157(x44613,x44611),x44614),x44615)))),f329(f329(f157(x44613,x44611),x44614),x44615)),f329(f329(f157(x44613,x44611),x44614),f329(f329(f141(x44613),f329(f192(f909(x44613)),f180(x44613,f329(f74(x44611,a903,x44613,x44612),x44614),x44615))),x44615)))
% 191.26/191.45 [4337]E(f329(f329(f137(f915(x43371,x43372)),f329(f329(f184(x43371,x43372),f329(f329(f178(x43371),f329(f192(f909(x43372)),x43373)),x43374)),x43373)),f329(f329(f184(x43371,x43372),f329(f329(f141(x43371),f329(f192(f909(x43372)),x43373)),x43374)),x43375)),f329(f329(f184(x43371,x43372),x43374),f329(f329(f137(x43372),x43373),x43375)))
% 191.26/191.45 [4452]E(f87(x44521,f329(f329(f18(x44521,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44521),a327),f329(f329(f7(x44521,f916(x44521,a903),a903),f331(x44521)),x44522))),f329(f329(f7(x44521,x44523,a903),f329(f329(f8(x44523,f916(x44523,a903),x44521),a326),x44524)),x44525))),f329(f79(x44521,x44523,x44522,x44524),x44525))
% 191.26/191.45 [4453]E(f92(x44531,f329(f329(f18(x44531,a903,a903),f329(f329(f8(a903,f916(a903,a903),x44531),a327),f329(f329(f7(x44531,f916(x44531,a903),a903),f331(x44531)),x44532))),f329(f329(f7(x44531,x44533,a903),f329(f329(f8(x44533,f916(x44533,a903),x44531),a326),x44534)),x44535))),f329(f94(x44531,x44533,x44532,x44534),x44535))
% 191.26/191.45 [4501]E(f329(f329(f88(a1,x45011),f329(f108(a1),f329(f329(f82(a1),x45012),a102))),f329(f329(f18(a1,x45011,x45011),f329(f329(f7(a1,x45011,f916(x45011,x45011)),f329(f329(f8(a903,f916(x45011,f916(x45011,x45011)),a1),f99(x45011)),a196)),f188(x45011,x45013,x45014,x45015))),f329(f329(f8(a908,x45011,a1),x45014),f329(f329(f7(a1,a908,a908),f329(f329(f8(a908,f916(a908,a908),a1),f82(a908)),a109)),x45015)))),f188(x45011,x45013,x45014,f329(f329(f82(a908),f329(f108(a908),x45012)),x45015)))
% 191.26/191.45 [4536]E(f329(f329(f88(a1,x45361),f329(f108(a1),f329(f329(f82(a1),x45362),a102))),f329(f329(f18(a1,x45361,x45361),f329(f329(f7(a1,x45361,f916(x45361,x45361)),f329(f329(f8(a903,f916(x45361,f916(x45361,x45361)),a1),f99(x45361)),a196)),f329(f187(x45361,x45363,x45364),x45365))),f329(f329(f18(a1,x45361,x45361),f329(f329(f8(a908,f916(x45361,x45361),a1),x45364),f329(f329(f7(a1,a908,a908),f329(f329(f8(a908,f916(a908,a908),a1),f82(a908)),a109)),x45365))),f329(f329(f8(a908,x45361,a1),f187(x45361,x45363,x45364)),f329(f329(f7(a1,a908,a908),f329(f329(f8(a908,f916(a908,a908),a1),f82(a908)),a109)),x45365))))),f329(f187(x45361,x45363,x45364),f329(f329(f82(a908),f329(f108(a908),x45362)),x45365)))
% 191.26/191.45 [4570]E(f329(f267(f915(x45701,x45702)),f329(f262(x45701,x45702,a903),f329(f329(f8(f916(x45702,f916(x45703,a903)),f916(x45702,a903),x45701),f329(f8(f916(x45703,a903),a903,x45702),f89(x45703))),f329(f329(f7(x45701,f916(x45702,f916(x45703,a903)),f916(x45702,f916(x45703,a903))),f329(f329(f8(f916(f916(x45703,a903),f916(x45703,a903)),f916(f916(x45702,f916(x45703,a903)),f916(x45702,f916(x45703,a903))),x45701),f8(f916(x45703,a903),f916(x45703,a903),x45702)),f329(f329(f8(f916(x45703,f916(a903,a903)),f916(f916(x45703,a903),f916(x45703,a903)),x45701),f18(x45703,a903,a903)),f329(f329(f8(f916(x45703,a903),f916(x45703,f916(a903,a903)),x45701),f329(f8(a903,f916(a903,a903),x45703),a327)),f329(f329(f7(x45701,f916(f915(x45701,x45703),a903),f916(x45703,a903)),f329(f329(f8(f916(x45703,f916(f916(f915(x45701,x45703),a903),a903)),f916(f916(f915(x45701,x45703),a903),f916(x45703,a903)),x45701),f7(x45703,f916(f915(x45701,x45703),a903),a903)),f329(f329(f8(f916(x45703,f915(x45701,x45703)),f916(x45703,f916(f916(f915(x45701,x45703),a903),a903)),x45701),f329(f8(f915(x45701,x45703),f916(f916(f915(x45701,x45703),a903),a903),x45703),f331(f915(x45701,x45703)))),f257(x45701,x45703)))),x45704))))),f329(f329(f7(x45702,f916(f915(x45703,x45702),a903),f916(x45703,a903)),f329(f329(f8(f916(x45703,f916(f916(f915(x45703,x45702),a903),a903)),f916(f916(f915(x45703,x45702),a903),f916(x45703,a903)),x45702),f7(x45703,f916(f915(x45703,x45702),a903),a903)),f329(f329(f8(f916(x45703,f915(x45703,x45702)),f916(x45703,f916(f916(f915(x45703,x45702),a903),a903)),x45702),f329(f8(f915(x45703,x45702),f916(f916(f915(x45703,x45702),a903),a903),x45703),f331(f915(x45703,x45702)))),f329(f7(x45703,x45702,f915(x45703,x45702)),f257(x45703,x45702))))),x45705))))),f329(f329(f291(x45701,x45703,x45702),x45704),x45705))
% 191.26/191.45 [4644]~E(f28(x46441,x46442,x46443),f29(x46444,x46445,x46446))
% 191.26/191.45 [4187]E(f228(x41871,x41872,x41873,x41874,f224(x41871,x41872,x41875,x41876)),f329(f329(x41874,x41875),x41876))
% 191.26/191.45 [4188]E(f229(x41881,x41882,x41883,x41884,f224(x41881,x41882,x41885,x41886)),f329(f329(x41884,x41885),x41886))
% 191.26/191.45 [4313]E(f131(x43131,x43132,x43133,x43134,f130(x43132,x43135,x43136)),f329(f329(f329(x43134,x43135),x43136),f131(x43131,x43132,x43133,x43134,x43136)))
% 191.26/191.45 [4332]E(f76(x43321,x43322,f76(x43321,x43322,x43323,x43324,x43325),x43324,x43326),f76(x43321,x43322,x43323,x43324,x43326))
% 191.26/191.45 [4440]E(f329(f74(f915(x44401,x44402),x44402,f915(x44403,x44404),f261(x44401,x44402)),f263(x44403,x44401,x44404,x44402,x44405,x44406)),f329(f74(x44404,x44402,f915(x44403,x44404),x44406),f261(x44403,x44404)))
% 191.26/191.45 [4441]E(f329(f74(f915(x44411,x44412),x44411,f915(x44413,x44414),f256(x44411,x44412)),f263(x44413,x44411,x44414,x44412,x44415,x44416)),f329(f74(x44413,x44411,f915(x44413,x44414),x44415),f256(x44413,x44414)))
% 191.26/191.45 [4057]E(f329(f329(f74(x40571,x40572,x40573,x40574),x40575),x40576),f329(x40574,f329(x40575,x40576)))
% 191.26/191.45 [4197]E(f227(x41971,f915(x41972,f910(x41972)),x41973,f329(f262(x41972,f910(x41972),x41971),x41974),f329(f138(x41972),f130(x41972,x41975,x41976))),f329(f329(x41974,x41975),x41976))
% 191.26/191.45 [4247]E(f230(x42471,x42472,x42473,x42474,f224(x42471,x42472,x42475,x42476)),f329(f329(f82(a908),f329(f329(f82(a908),f329(x42473,x42475)),f329(x42474,x42476))),f329(a117,f2(a908))))
% 191.26/191.45 [3858]E(f329(f329(f262(x38581,x38582,x38583),x38584),f329(f329(f257(x38581,x38582),x38585),x38586)),f329(f329(x38584,x38585),x38586))
% 191.26/191.45 [3918]E(f329(f329(f329(f8(x39181,x39182,x39183),x39184),x39185),x39186),f329(x39184,f329(x39185,x39186)))
% 191.26/191.45 [3919]E(f329(f329(f329(f7(x39191,x39192,x39193),x39194),x39195),x39196),f329(f329(x39194,x39196),x39195))
% 191.26/191.45 [3937]E(f329(f329(f329(f18(x39371,x39372,x39373),x39374),x39375),x39376),f329(f329(x39374,x39376),f329(x39375,x39376)))
% 191.26/191.45 [3958]E(f329(f159(x39581,x39582,x39583,x39584),f329(f329(f154(x39582),x39585),x39586)),f329(f329(x39584,x39585),x39586))
% 191.26/191.45 [3996]E(f172(f915(x39961,x39962),f329(f329(f238(a908),x39963),x39964),f329(f329(f257(x39961,x39962),x39965),x39966)),f329(f329(f184(x39961,x39962),f172(x39961,x39963,x39965)),f172(x39962,x39964,x39966)))
% 191.26/191.45 [4061]E(f329(f329(f154(f915(x40611,x40612)),f329(f329(f257(x40611,x40612),x40613),x40614)),f329(f329(f184(x40611,x40612),x40615),x40616)),f329(f329(f184(x40611,x40612),f329(f329(f154(x40611),x40613),x40615)),f329(f329(f154(x40612),x40614),x40616)))
% 191.26/191.45 [4062]E(f329(f329(f157(x40621,x40622),x40623),f329(f329(f162(x40621,x40624),x40625),x40626)),f329(f329(f162(x40622,f329(f329(f157(x40621,x40622),x40623),x40624)),x40625),f329(x40623,x40626)))
% 191.26/191.45 [4086]E(f329(f329(f260(x40861,x40862,x40863,x40864),x40865),x40866),f329(x40864,f329(f329(f257(x40861,x40862),x40865),x40866)))
% 191.26/191.45 [4105]E(f329(f145(x41051,x41052,x41053,x41054),f329(f329(f154(x41052),x41055),x41056)),f329(f145(x41051,x41052,x41053,f329(f329(x41053,x41054),x41055)),x41056))
% 191.26/191.45 [4130]E(f265(x41301,x41302,x41303,x41304,f329(f329(f257(x41301,x41302),x41305),x41306)),f329(f329(x41304,x41305),x41306))
% 191.26/191.45 [4211]E(f329(f329(f40(x42111,f916(x42112,a903)),x42113),f329(f74(x42114,f916(x42112,a903),x42111,x42115),x42116)),f329(f329(f40(x42114,f916(x42112,a903)),f329(f312(x42111,x42114,x42116),x42113)),x42115))
% 191.26/191.45 [4261]E(f329(f329(f157(x42611,x42612),x42613),f329(f329(f157(x42614,x42611),x42615),x42616)),f329(f329(f157(x42614,x42612),f329(f74(x42611,x42612,x42614,x42613),x42615)),x42616))
% 191.26/191.45 [4267]E(f329(f312(x42671,x42672,f329(f74(x42673,x42672,x42671,x42674),x42675)),x42676),f329(f312(x42673,x42672,x42674),f329(f312(x42671,x42673,x42675),x42676)))
% 191.26/191.45 [4268]E(f329(f313(x42681,x42682,f329(f74(x42683,x42682,x42681,x42684),x42685)),x42686),f329(f313(x42681,x42683,x42685),f329(f313(x42683,x42682,x42684),x42686)))
% 191.26/191.45 [4296]E(f329(f145(x42961,x42962,x42963,f329(f145(x42961,x42962,x42963,x42964),x42965)),x42966),f329(f145(x42961,x42962,x42963,x42964),f329(f329(f137(x42962),x42965),x42966)))
% 191.26/191.45 [4430]E(f329(f263(x44301,x44301,x44302,x44303,f33(x44301),x44304),f329(f329(f257(x44301,x44302),x44305),x44306)),f329(f329(f257(x44301,x44303),x44305),f329(x44304,x44306)))
% 191.26/191.45 [4431]E(f329(f263(x44311,x44312,x44313,x44313,x44314,f33(x44313)),f329(f329(f257(x44311,x44313),x44315),x44316)),f329(f329(f257(x44312,x44313),f329(x44314,x44315)),x44316))
% 191.26/191.45 [4519]E(f329(f329(f157(f915(x45191,x45192),f915(x45191,x45193)),f329(f262(x45191,x45192,f915(x45191,x45193)),f329(f329(f7(x45191,f916(x45192,x45193),f916(x45192,f915(x45191,x45193))),f329(f329(f8(f916(x45193,f915(x45191,x45193)),f916(f916(x45192,x45193),f916(x45192,f915(x45191,x45193))),x45191),f8(x45193,f915(x45191,x45193),x45192)),f257(x45191,x45193))),x45194))),f329(f329(f184(x45191,x45192),x45195),x45196)),f329(f329(f184(x45191,x45193),x45195),f329(f329(f157(x45192,x45193),x45194),x45196)))
% 191.26/191.45 [3923]E(f97(x39231,x39232,x39233,f329(f329(f329(f93(x39231),x39234),x39235),x39236)),f329(f329(f329(x39233,x39234),x39235),x39236))
% 191.26/191.45 [3924]E(f98(x39241,x39242,x39243,f329(f329(f329(f93(x39241),x39244),x39245),x39246)),f329(f329(f329(x39243,x39244),x39245),x39246))
% 191.26/191.45 [4114]E(f329(f329(f74(x41141,x41142,x41143,f329(f16(x41142,x41141),x41144)),x41145),x41146),x41144)
% 191.26/191.45 [4146]E(f329(f312(x41461,x41462,x41463),f329(f312(x41464,x41461,x41465),x41466)),f329(f312(x41464,x41462,f329(f329(f8(x41461,x41462,x41464),x41463),x41465)),x41466))
% 191.26/191.45 [4152]E(f329(f329(f40(x41521,f916(x41522,a903)),f329(f312(x41523,x41521,x41524),x41525)),x41526),f329(f329(f40(x41523,f916(x41522,a903)),x41525),f329(f329(f8(x41521,f916(x41522,a903),x41523),x41526),x41524)))
% 191.26/191.45 [4153]E(f329(f329(f41(x41531,f916(x41532,a903)),f329(f312(x41533,x41531,x41534),x41535)),x41536),f329(f329(f41(x41533,f916(x41532,a903)),x41535),f329(f329(f8(x41531,f916(x41532,a903),x41533),x41536),x41534)))
% 191.26/191.45 [4154]E(f329(f329(f40(x41541,f916(x41542,a903)),x41543),f329(f329(f8(x41544,f916(x41542,a903),x41541),x41545),x41546)),f329(f329(f40(x41544,f916(x41542,a903)),f329(f312(x41541,x41544,x41546),x41543)),x41545))
% 191.26/191.45 [4155]E(f329(f329(f41(x41551,f916(x41552,a903)),x41553),f329(f329(f8(x41554,f916(x41552,a903),x41551),x41555),x41556)),f329(f329(f41(x41554,f916(x41552,a903)),f329(f312(x41551,x41554,x41556),x41553)),x41555))
% 191.26/191.45 [4213]E(f329(f329(f40(x42131,f916(x42132,a903)),x42133),f329(f329(f8(f916(x42134,a903),f916(x42132,a903),x42131),f312(x42134,x42132,x42135)),x42136)),f329(f312(x42134,x42132,x42135),f329(f329(f40(x42131,f916(x42134,a903)),x42133),x42136)))
% 191.26/191.45 [4214]E(f329(f329(f40(x42141,f916(x42142,a903)),x42143),f329(f329(f8(f916(x42144,a903),f916(x42142,a903),x42141),f288(x42144,x42142,x42145)),x42146)),f329(f288(x42144,x42142,x42145),f329(f329(f40(x42141,f916(x42144,a903)),x42143),x42146)))
% 191.26/191.45 [4215]E(f329(f329(f40(x42151,f916(x42152,a903)),x42153),f329(f329(f8(f916(x42154,a903),f916(x42152,a903),x42151),f313(x42152,x42154,x42155)),x42156)),f329(f313(x42152,x42154,x42155),f329(f329(f40(x42151,f916(x42154,a903)),x42153),x42156)))
% 191.26/191.45 [4216]E(f329(f329(f41(x42161,f916(x42162,a903)),x42163),f329(f329(f8(f916(x42164,a903),f916(x42162,a903),x42161),f313(x42162,x42164,x42165)),x42166)),f329(f313(x42162,x42164,x42165),f329(f329(f41(x42161,f916(x42164,a903)),x42163),x42166)))
% 191.26/191.45 [4301]E(f329(f145(x43011,x43012,f329(f7(x43012,x43011,x43011),x43013),x43014),f329(f171(x43012),f329(f329(f154(x43012),x43015),x43016))),f329(f329(x43013,x43015),f329(f145(x43011,x43012,f329(f7(x43012,x43011,x43011),x43013),x43014),f329(f171(x43012),x43016))))
% 191.26/191.45 [4359]E(f329(f329(f18(f915(x43591,x43592),x43592,x43593),f329(f329(f8(x43594,f916(x43592,x43593),f915(x43591,x43592)),x43595),f329(f329(f8(x43591,x43594,f915(x43591,x43592)),x43596),f256(x43591,x43592)))),f261(x43591,x43592)),f329(f262(x43591,x43592,x43593),f329(f329(f8(x43594,f916(x43592,x43593),x43591),x43595),x43596)))
% 191.26/191.45 [4366]E(f329(f145(x43661,x43662,f329(f7(x43662,x43661,x43661),x43663),f329(f145(x43661,x43662,f329(f7(x43662,x43661,x43661),x43663),x43664),f329(f171(x43662),x43665))),f329(f171(x43662),x43666)),f329(f145(x43661,x43662,f329(f7(x43662,x43661,x43661),x43663),x43664),f329(f171(x43662),f329(f329(f137(x43662),x43666),x43665))))
% 191.26/191.45 [4368]E(f329(f329(f157(f915(x43681,x43682),f915(x43683,x43682)),f329(f262(x43681,x43682,f915(x43683,x43682)),f329(f329(f8(x43683,f916(x43682,f915(x43683,x43682)),x43681),f257(x43683,x43682)),x43684))),f329(f329(f184(x43681,x43682),x43685),x43686)),f329(f329(f184(x43683,x43682),f329(f329(f157(x43681,x43683),x43684),x43685)),x43686))
% 191.26/191.45 [4413]P1(f329(f329(f240(f916(x44131,a903)),f329(f288(x44132,x44131,x44133),f329(f329(f41(x44134,f916(x44132,a903)),x44135),x44136))),f329(f329(f41(x44134,f916(x44131,a903)),x44135),f329(f329(f8(f916(x44132,a903),f916(x44131,a903),x44134),f288(x44132,x44131,x44133)),x44136))))
% 191.26/191.45 [4226]E(f329(f329(f184(x42261,x42262),f329(f329(f162(x42261,x42263),x42264),f329(f256(x42261,x42262),x42265))),f329(f329(f162(x42262,x42266),x42264),f329(f261(x42261,x42262),x42265))),f329(f329(f162(f915(x42261,x42262),f329(f329(f184(x42261,x42262),x42263),x42266)),x42264),x42265))
% 191.26/191.45 [4284]E(f329(f329(f115(f916(f915(x42841,x42842),a903)),f329(f329(f291(x42841,x42843,x42842),x42844),x42845)),f329(f329(f291(x42841,x42843,x42842),x42844),x42846)),f329(f329(f291(x42841,x42843,x42842),x42844),f329(f329(f115(f916(f915(x42843,x42842),a903)),x42845),x42846)))
% 191.26/191.45 [4378]E(f329(f329(f311(f915(x43781,x43782)),f329(f329(f257(x43781,x43782),x43783),x43784)),f329(f329(f115(f916(f915(x43781,x43782),a903)),f329(f329(f259(x43781,x43782),x43785),f329(f16(f916(x43782,a903),x43781),f329(f329(f311(x43782),x43784),x43786)))),f329(f329(f259(x43781,x43782),f329(f329(f311(x43781),x43783),x43785)),f329(f16(f916(x43782,a903),x43781),x43786)))),f329(f329(f259(x43781,x43782),f329(f329(f311(x43781),x43783),x43785)),f329(f16(f916(x43782,a903),x43781),f329(f329(f311(x43782),x43784),x43786))))
% 191.26/191.45 [4457]E(f329(f329(f106(f916(x44571,a903)),f329(f313(x44571,x44572,f329(f74(f915(x44572,x44573),x44572,x44571,f256(x44572,x44573)),x44574)),x44575)),f329(f313(x44571,x44573,f329(f74(f915(x44572,x44573),x44573,x44571,f261(x44572,x44573)),x44574)),x44576)),f329(f313(x44571,f915(x44572,x44573),x44574),f329(f329(f259(x44572,x44573),x44575),f329(f16(f916(x44573,a903),x44572),x44576))))
% 191.26/191.45 [4307]E(f329(f329(f115(f916(f915(x43071,x43072),a903)),f329(f329(f291(x43071,x43073,x43072),x43074),x43075)),f329(f329(f291(x43071,x43073,x43072),x43076),x43075)),f329(f329(f291(x43071,x43073,x43072),f329(f329(f115(f916(f915(x43071,x43073),a903)),x43074),x43076)),x43075))
% 191.26/191.45 [4438]E(f329(f329(f40(x44381,f916(x44382,a903)),x44383),f329(f329(f7(x44381,f916(x44384,f916(x44382,a903)),f916(x44382,a903)),f329(f329(f8(f916(x44384,a903),f916(f916(x44384,f916(x44382,a903)),f916(x44382,a903)),x44381),f40(x44384,f916(x44382,a903))),x44385)),x44386)),f329(f329(f40(x44384,f916(x44382,a903)),f329(f329(f40(x44381,f916(x44384,a903)),x44383),x44385)),x44386))
% 191.26/191.45 [4439]E(f329(f329(f41(x44391,f916(x44392,a903)),x44393),f329(f329(f7(x44391,f916(x44394,f916(x44392,a903)),f916(x44392,a903)),f329(f329(f8(f916(x44394,a903),f916(f916(x44394,f916(x44392,a903)),f916(x44392,a903)),x44391),f41(x44394,f916(x44392,a903))),x44395)),x44396)),f329(f329(f41(x44394,f916(x44392,a903)),f329(f329(f40(x44391,f916(x44394,a903)),x44393),x44395)),x44396))
% 191.26/191.45 [4491]E(f329(f262(x44911,x44912,f915(x44913,x44914)),f329(f329(f7(x44911,f916(x44912,x44914),f916(x44912,f915(x44913,x44914))),f329(f329(f8(f916(x44914,f915(x44913,x44914)),f916(f916(x44912,x44914),f916(x44912,f915(x44913,x44914))),x44911),f8(x44914,f915(x44913,x44914),x44912)),f329(f329(f8(x44913,f916(x44914,f915(x44913,x44914)),x44911),f257(x44913,x44914)),x44915))),x44916)),f263(x44911,x44913,x44912,x44914,x44915,x44916))
% 191.26/191.45 [4514]E(f329(f312(x45141,x45142,f329(f329(f18(x45141,x45142,x45142),f329(f329(f18(x45141,x45142,f916(x45142,x45142)),f329(f329(f8(a903,f916(x45142,f916(x45142,x45142)),x45141),f99(x45142)),x45143)),x45144)),x45145)),x45146),f329(f329(f115(f916(x45142,a903)),f329(f312(x45141,x45142,x45144),f329(f329(f106(f916(x45141,a903)),x45146),f329(f267(x45141),x45143)))),f329(f312(x45141,x45142,x45145),f329(f329(f106(f916(x45141,a903)),x45146),f329(f267(x45141),f329(f329(f8(a903,a903,x45141),a324),x45143))))))
% 191.26/191.45 [4526]E(f329(f312(x45261,f915(x45262,x45263),f329(f329(f18(x45261,x45263,f915(x45262,x45263)),f329(f329(f8(x45262,f916(x45263,f915(x45262,x45263)),x45261),f257(x45262,x45263)),x45264)),x45265)),x45266),f329(f329(f259(x45262,x45263),f329(f312(x45261,x45262,x45264),x45266)),f329(f329(f8(f916(x45261,a903),f916(x45263,a903),x45262),f312(x45261,x45263,x45265)),f329(f329(f7(x45262,f916(x45261,a903),f916(x45261,a903)),f329(f329(f8(f916(x45261,a903),f916(f916(x45261,a903),f916(x45261,a903)),x45262),f106(f916(x45261,a903))),f329(f329(f8(f916(x45262,a903),f916(x45261,a903),x45262),f313(x45261,x45262,x45264)),f329(f329(f7(x45262,f916(x45262,a903),f916(x45262,a903)),f311(x45262)),f191(f916(x45262,a903)))))),x45266))))
% 191.26/191.45 [4551]E(f251(x45511,x45512,x45513,x45514,x45515,x45516),f329(x45514,f329(f267(x45511),f329(f329(f8(f916(f916(x45513,x45511),a903),a903,x45511),f89(f916(x45513,x45511))),f329(f329(f8(f916(f916(x45513,x45511),a903),f916(f916(x45513,x45511),a903),x45511),f329(f18(f916(x45513,x45511),a903,a903),f329(f329(f8(a903,f916(a903,a903),f916(x45513,x45511)),a327),f329(f329(f7(f916(x45513,x45511),f916(f916(x45513,x45511),a903),a903),f331(f916(x45513,x45511))),x45515)))),f329(f329(f7(x45511,f916(f916(x45513,x45511),x45511),f916(f916(x45513,x45511),a903)),f329(f329(f8(f916(x45511,a903),f916(f916(f916(x45513,x45511),x45511),f916(f916(x45513,x45511),a903)),x45511),f8(x45511,a903,f916(x45513,x45511))),a326)),f329(f329(f7(f916(x45513,x45511),x45513,x45511),f5(f916(x45513,x45511))),x45516)))))))
% 191.26/191.45 [4340]E(f329(f74(x43401,x43402,x43403,x43404),f76(x43403,x43401,x43405,x43406,x43407)),f76(x43403,x43402,f329(f74(x43401,x43402,x43403,x43404),x43405),x43406,f329(x43404,x43407)))
% 191.26/191.45 [4474]E(f329(f261(x44741,x44742),f329(f263(x44743,x44741,x44744,x44742,x44745,x44746),x44747)),f329(x44746,f329(f261(x44743,x44744),x44747)))
% 191.26/191.45 [4475]E(f329(f256(x44751,x44752),f329(f263(x44753,x44751,x44754,x44752,x44755,x44756),x44757)),f329(x44755,f329(f256(x44753,x44754),x44757)))
% 191.26/191.45 [4189]E(f329(f329(f184(x41891,x41892),f329(f329(f162(x41891,x41893),x41894),x41895)),f329(f329(f162(x41892,x41896),x41894),x41897)),f329(f329(f162(f915(x41891,x41892),f329(f329(f184(x41891,x41892),x41893),x41896)),x41894),f329(f329(f257(x41891,x41892),x41895),x41897)))
% 191.26/191.45 [4256]E(f329(f329(f329(f264(x42561,x42562,x42563,x42564),x42565),x42566),x42567),f329(f329(f262(x42562,x42563,x42564),x42566),f329(x42565,x42567)))
% 191.26/191.45 [4266]E(f329(f329(f329(f264(x42661,x42662,x42663,x42664),x42665),x42666),x42667),f329(f329(x42666,f329(f256(x42662,x42663),f329(x42665,x42667))),f329(f261(x42662,x42663),f329(x42665,x42667))))
% 191.26/191.45 [4318]E(f329(f74(x43181,x43182,x43183,x43184),f329(f74(x43185,x43181,x43183,x43186),x43187)),f329(f74(x43185,x43182,x43183,f329(f74(x43181,x43182,x43185,x43184),x43186)),x43187))
% 191.26/191.45 [4495]E(f329(f263(x44951,x44952,x44953,x44953,x44954,f33(x44953)),f329(f263(x44951,x44951,x44955,x44953,f33(x44951),x44956),x44957)),f329(f329(f257(x44952,x44953),f329(x44954,f329(f256(x44951,x44955),x44957))),f329(x44956,f329(f261(x44951,x44955),x44957))))
% 191.26/191.45 [4496]E(f329(f263(x44961,x44961,x44962,x44963,f33(x44961),x44964),f329(f263(x44965,x44961,x44962,x44962,x44966,f33(x44962)),x44967)),f329(f329(f257(x44961,x44963),f329(x44966,f329(f256(x44965,x44962),x44967))),f329(x44964,f329(f261(x44965,x44962),x44967))))
% 191.26/191.45 [4512]E(f329(f263(x45121,x45122,x45123,x45123,x45124,f33(x45123)),f329(f263(x45125,x45121,x45123,x45123,x45126,f33(x45123)),x45127)),f329(f263(x45125,x45122,x45123,x45123,f329(f74(x45121,x45122,x45125,x45124),x45126),f33(x45123)),x45127))
% 191.26/191.45 [4513]E(f329(f263(x45131,x45131,x45132,x45133,f33(x45131),x45134),f329(f263(x45131,x45131,x45135,x45132,f33(x45131),x45136),x45137)),f329(f263(x45131,x45131,x45135,x45133,f33(x45131),f329(f74(x45132,x45133,x45135,x45134),x45136)),x45137))
% 191.26/191.45 [4523]E(f329(f263(x45231,x45232,x45233,x45233,x45234,f33(x45233)),f329(f263(x45231,x45231,x45235,x45233,f33(x45231),x45236),x45237)),f329(f263(x45232,x45232,x45235,x45233,f33(x45232),x45236),f329(f263(x45231,x45232,x45235,x45235,x45234,f33(x45235)),x45237)))
% 191.26/191.45 [4223]E(f329(f329(f291(x42231,x42232,x42233),f329(f329(f291(x42231,x42234,x42232),x42235),x42236)),x42237),f329(f329(f291(x42231,x42234,x42233),x42235),f329(f329(f291(x42234,x42232,x42233),x42236),x42237)))
% 191.26/191.45 [4290]E(f329(f329(f262(x42901,x42902,x42903),f329(f74(x42904,f916(x42902,x42903),x42901,x42905),x42906)),x42907),f329(f329(x42905,f329(x42906,f329(f256(x42901,x42902),x42907))),f329(f261(x42901,x42902),x42907)))
% 191.26/191.45 [4371]E(f329(f145(x43711,x43712,f329(f7(x43712,x43711,x43711),x43713),x43714),f329(f171(x43712),f329(f329(f157(x43715,x43712),x43716),x43717))),f329(f145(x43711,x43715,f329(f7(x43715,x43711,x43711),f329(f74(x43712,f916(x43711,x43711),x43715,x43713),x43716)),x43714),f329(f171(x43715),x43717)))
% 191.26/191.45 [4319]E(f329(f329(f40(x43191,f916(f915(x43192,x43193),a903)),x43194),f329(f329(f8(f916(f915(x43195,x43193),a903),f916(f915(x43192,x43193),a903),x43191),f329(f291(x43192,x43195,x43193),x43196)),x43197)),f329(f329(f291(x43192,x43195,x43193),x43196),f329(f329(f40(x43191,f916(f915(x43195,x43193),a903)),x43194),x43197)))
% 191.26/191.45 [4462]E(f329(f329(f40(x44621,f916(f915(x44622,x44623),a903)),x44624),f329(f329(f7(x44621,f916(f915(x44625,x44623),a903),f916(f915(x44622,x44623),a903)),f329(f329(f8(f916(f915(x44622,x44625),a903),f916(f916(f915(x44625,x44623),a903),f916(f915(x44622,x44623),a903)),x44621),f291(x44622,x44625,x44623)),x44626)),x44627)),f329(f329(f291(x44622,x44625,x44623),f329(f329(f40(x44621,f916(f915(x44622,x44625),a903)),x44624),x44626)),x44627))
% 191.26/191.45 [4463]E(f329(f145(x44631,x44632,f329(f329(f7(x44631,f916(x44632,x44633),f916(x44632,x44631)),f329(f329(f8(f916(x44633,x44631),f916(f916(x44632,x44633),f916(x44632,x44631)),x44631),f8(x44633,x44631,x44632)),x44634)),x44635),x44636),x44637),f329(f145(x44631,x44633,x44634,x44636),f329(f329(f157(x44632,x44633),x44635),x44637)))
% 191.26/191.45 [4524]E(f329(f329(f41(x45241,f916(x45242,a903)),x45243),f329(f329(f8(f916(x45244,f916(x45242,a903)),f916(x45242,a903),x45241),f329(f41(x45244,f916(x45242,a903)),x45245)),f329(f329(f7(x45241,f916(x45244,f916(x45242,a903)),f916(x45244,f916(x45242,a903))),f329(f329(f8(f916(f916(x45242,a903),f916(x45242,a903)),f916(f916(x45244,f916(x45242,a903)),f916(x45244,f916(x45242,a903))),x45241),f8(f916(x45242,a903),f916(x45242,a903),x45244)),f329(f329(f8(f916(x45242,a903),f916(f916(x45242,a903),f916(x45242,a903)),x45241),f115(f916(x45242,a903))),x45246))),x45247))),f329(f329(f115(f916(x45242,a903)),f329(f329(f41(x45241,f916(x45242,a903)),x45243),x45246)),f329(f329(f41(x45244,f916(x45242,a903)),x45245),x45247)))
% 191.26/191.45 [4525]E(f329(f329(f40(x45251,f916(x45252,a903)),x45253),f329(f329(f8(f916(x45254,f916(x45252,a903)),f916(x45252,a903),x45251),f329(f40(x45254,f916(x45252,a903)),x45255)),f329(f329(f7(x45251,f916(x45254,f916(x45252,a903)),f916(x45254,f916(x45252,a903))),f329(f329(f8(f916(f916(x45252,a903),f916(x45252,a903)),f916(f916(x45254,f916(x45252,a903)),f916(x45254,f916(x45252,a903))),x45251),f8(f916(x45252,a903),f916(x45252,a903),x45254)),f329(f329(f8(f916(x45252,a903),f916(f916(x45252,a903),f916(x45252,a903)),x45251),f106(f916(x45252,a903))),x45256))),x45257))),f329(f329(f106(f916(x45252,a903)),f329(f329(f40(x45251,f916(x45252,a903)),x45253),x45256)),f329(f329(f40(x45254,f916(x45252,a903)),x45255),x45257)))
% 191.26/191.45 [4517]E(f201(x45171,x45172,f329(f329(f329(x45173,x45174),x45175),x45176),f329(f329(f7(x45171,f915(a104,a104),f916(a104,f910(x45172))),f329(f329(f7(x45171,a104,f916(f915(a104,a104),f916(a104,f910(x45172)))),f329(f329(f7(x45171,a104,f916(a104,f916(f915(a104,a104),f916(a104,f910(x45172))))),x45177),x45174)),x45175)),x45176)),f329(f329(f329(f213(x45171,x45172,x45173,x45177),x45174),x45175),x45176))
% 191.26/191.45 [4531]E(f202(x45311,x45312,f329(f329(f329(x45313,x45314),x45315),x45316),f329(f329(f7(x45311,f915(a104,a104),f916(a104,f910(x45312))),f329(f329(f7(x45311,a104,f916(f915(a104,a104),f916(a104,f910(x45312)))),f329(f329(f7(x45311,a104,f916(a104,f916(f915(a104,a104),f916(a104,f910(x45312))))),x45317),x45314)),x45315)),x45316)),f215(x45311,x45312,x45313,x45317,x45314,x45315,x45316))
% 191.26/191.45 [4522]E(f199(x45221,x45222,f329(f329(f329(x45223,x45224),x45225),x45226),f329(f329(f7(x45221,f915(a104,a104),f916(a104,f910(f912(x45222)))),f329(f329(f7(x45221,a104,f916(f915(a104,a104),f916(a104,f910(f912(x45222))))),f329(f329(f7(x45221,a104,f916(a104,f916(f915(a104,a104),f916(a104,f910(f912(x45222)))))),x45227),x45224)),x45225)),x45226)),f329(f329(f329(f209(x45221,x45222,x45223,x45227),x45224),x45225),x45226))
% 191.26/191.45 [4533]E(f200(x45331,x45332,f329(f329(f329(x45333,x45334),x45335),x45336),f329(f329(f7(x45331,f915(a104,a104),f916(a104,f910(f912(x45332)))),f329(f329(f7(x45331,a104,f916(f915(a104,a104),f916(a104,f910(f912(x45332))))),f329(f329(f7(x45331,a104,f916(a104,f916(f915(a104,a104),f916(a104,f910(f912(x45332)))))),x45337),x45334)),x45335)),x45336)),f211(x45331,x45332,x45333,x45337,x45334,x45335,x45336))
% 191.26/191.45 [4432]E(f329(f263(x44321,x44322,x44323,x44324,x44325,x44326),f329(f329(f257(x44321,x44323),x44327),x44328)),f329(f329(f257(x44322,x44324),f329(x44325,x44327)),f329(x44326,x44328)))
% 191.26/191.45 [4535]E(f329(f329(f157(f915(x45351,x45352),f915(x45353,x45354)),f329(f262(x45351,x45352,f915(x45353,x45354)),f329(f329(f7(x45351,f916(x45352,x45354),f916(x45352,f915(x45353,x45354))),f329(f329(f8(f916(x45354,f915(x45353,x45354)),f916(f916(x45352,x45354),f916(x45352,f915(x45353,x45354))),x45351),f8(x45354,f915(x45353,x45354),x45352)),f329(f329(f8(x45353,f916(x45354,f915(x45353,x45354)),x45351),f257(x45353,x45354)),x45355))),x45356))),f329(f329(f184(x45351,x45352),x45357),x45358)),f329(f329(f184(x45353,x45354),f329(f329(f157(x45351,x45353),x45355),x45357)),f329(f329(f157(x45352,x45354),x45356),x45358)))
% 191.26/191.45 [4538]E(f329(f329(f157(f915(x45381,x45382),x45383),f329(f262(x45381,x45382,x45383),f329(f329(f8(f916(x45382,f915(x45381,x45384)),f916(x45382,x45383),x45381),f329(f8(f915(x45381,x45384),x45383,x45382),x45385)),f329(f329(f7(x45381,f916(x45382,x45384),f916(x45382,f915(x45381,x45384))),f329(f329(f8(f916(x45384,f915(x45381,x45384)),f916(f916(x45382,x45384),f916(x45382,f915(x45381,x45384))),x45381),f8(x45384,f915(x45381,x45384),x45382)),f257(x45381,x45384))),x45386)))),f329(f329(f184(x45381,x45382),x45387),x45388)),f329(f329(f157(f915(x45381,x45384),x45383),x45385),f329(f329(f184(x45381,x45384),x45387),f329(f329(f157(x45382,x45384),x45386),x45388))))
% 191.26/191.45 [4466]E(f329(f329(f157(f915(x44661,x44662),x44663),f329(f262(x44661,x44662,x44663),f329(f329(f8(f916(x44662,f915(x44664,x44662)),f916(x44662,x44663),x44661),f329(f8(f915(x44664,x44662),x44663,x44662),x44665)),f329(f329(f8(x44664,f916(x44662,f915(x44664,x44662)),x44661),f257(x44664,x44662)),x44666)))),f329(f329(f184(x44661,x44662),x44667),x44668)),f329(f329(f157(f915(x44664,x44662),x44663),x44665),f329(f329(f184(x44664,x44662),f329(f329(f157(x44661,x44664),x44666),x44667)),x44668)))
% 191.26/191.45 [4423]E(f329(f329(f262(x44231,x44232,x44233),f329(f329(f8(f916(x44232,f915(x44234,x44235)),f916(x44232,x44233),x44231),f329(f8(f915(x44234,x44235),x44233,x44232),f329(f262(x44234,x44235,x44233),x44236))),x44237)),x44238),f329(f329(f262(x44234,x44235,x44233),x44236),f329(f329(f262(x44231,x44232,f915(x44234,x44235)),x44237),x44238)))
% 191.26/191.45 [4539]E(f329(f329(f40(f915(x45391,x45392),f916(f915(x45393,x45394),a903)),f329(f329(f259(x45391,x45392),x45395),f329(f16(f916(x45392,a903),x45391),x45396))),f329(f262(x45391,x45392,f916(f915(x45393,x45394),a903)),f329(f329(f7(x45391,f916(x45392,f916(x45393,f916(x45394,a903))),f916(x45392,f916(f915(x45393,x45394),a903))),f329(f329(f8(f916(f916(x45393,f916(x45394,a903)),f916(f915(x45393,x45394),a903)),f916(f916(x45392,f916(x45393,f916(x45394,a903))),f916(x45392,f916(f915(x45393,x45394),a903))),x45391),f8(f916(x45393,f916(x45394,a903)),f916(f915(x45393,x45394),a903),x45392)),f329(f329(f8(f916(x45393,a903),f916(f916(x45393,f916(x45394,a903)),f916(f915(x45393,x45394),a903)),x45391),f259(x45393,x45394)),x45397))),f329(f329(f8(f916(x45394,a903),f916(x45393,f916(x45394,a903)),x45392),f16(f916(x45394,a903),x45393)),x45398)))),f329(f329(f259(x45393,x45394),f329(f329(f40(x45391,f916(x45393,a903)),x45395),x45397)),f329(f16(f916(x45394,a903),x45393),f329(f329(f40(x45392,f916(x45394,a903)),x45396),x45398))))
% 191.26/191.45 [4480]E(f329(f329(f264(x44801,x44802,x44803,x44804),f329(f329(f264(x44801,x44805,x44806,f915(x44802,x44803)),x44807),x44808)),x44809),f329(f329(f264(x44801,x44805,x44806,x44804),x44807),f329(f329(f7(x44805,f916(x44802,f916(x44803,x44804)),f916(x44806,x44804)),f329(f329(f8(f916(x44806,f915(x44802,x44803)),f916(f916(x44802,f916(x44803,x44804)),f916(x44806,x44804)),x44805),f264(x44806,x44802,x44803,x44804)),x44808)),x44809)))
% 191.26/191.45 [4509]E(f329(f74(f915(x45091,x45092),f915(x45093,x45094),f915(x45095,x45096),f263(x45091,x45093,x45092,x45094,x45097,x45098)),f263(x45095,x45091,x45096,x45092,x45099,x450910)),f263(x45095,x45093,x45096,x45094,f329(f74(x45091,x45093,x45095,x45097),x45099),f329(f74(x45092,x45094,x45096,x45098),x450910)))
% 191.26/191.45 [4515]E(f329(f263(x45151,x45152,x45153,x45154,x45155,x45156),f329(f263(x45157,x45151,x45158,x45153,x45159,x451510),x451511)),f329(f263(x45157,x45152,x45158,x45154,f329(f74(x45151,x45152,x45157,x45155),x45159),f329(f74(x45153,x45154,x45158,x45156),x451510)),x451511))
% 191.26/191.45 [4673]~P9(x46731)+P9(f912(x46731))
% 191.26/191.45 [4674]~P70(x46741)+P70(f912(x46741))
% 191.26/191.45 [4675]~P107(x46751)+P107(f909(x46751))
% 191.26/191.45 [4678]~P147(x46781)+~E(f80(x46781),f2(x46781))
% 191.26/191.45 [4680]~E(x46801,f2(a104))+E(f329(a22,x46801),f2(a1))
% 191.26/191.45 [4681]~E(x46811,f2(a1))+E(f84(a1,x46811),f2(a1))
% 191.26/191.45 [4687]~P109(x46871)+P35(x46871,f2(x46871))
% 191.26/191.45 [4689]~P112(x46891)+P18(x46891,f118(x46891))
% 191.26/191.45 [4698]P1(x46981)+P1(f329(a324,x46981))
% 191.26/191.45 [4752]~P109(x47521)+~P35(x47521,f80(x47521))
% 191.26/191.45 [4794]~P1(x47941)+~P1(f329(a324,x47941))
% 191.26/191.45 [4815]E(f329(a109,x48151),f2(a908))+~P1(f329(a196,x48151))
% 191.26/191.45 [4881]~P103(x48811)+P19(x48811,x48811,f115(x48811))
% 191.26/191.45 [4882]~P104(x48821)+P19(x48821,x48821,f106(x48821))
% 191.26/191.45 [4883]~P99(x48831)+P19(x48831,x48831,f83(x48831))
% 191.26/191.45 [4884]~P112(x48841)+P19(x48841,x48841,f238(x48841))
% 191.26/191.45 [4885]~P112(x48851)+P19(x48851,x48851,f239(x48851))
% 191.26/191.45 [4886]~P76(x48861)+P21(x48861,x48861,f83(x48861))
% 191.26/191.45 [4684]~E(x46841,f2(a908))+E(f329(f105(a1),x46841),f2(a1))
% 191.26/191.45 [4691]~P97(x46911)+E(f329(f108(x46911),a85),f2(x46911))
% 191.26/191.45 [4694]~E(f564(x46941),f2(a908))+E(f329(f168(a908),x46941),f2(a908))
% 191.26/191.45 [4695]~P113(x46951)+E(f242(x46951,f240(x46951)),f238(x46951))
% 191.26/191.45 [4696]~P113(x46961)+E(f243(x46961,f240(x46961)),f239(x46961))
% 191.26/191.45 [4697]~P93(x46971)+E(f84(x46971,f2(x46971)),f2(x46971))
% 191.26/191.45 [4706]~P109(x47061)+E(f329(f105(x47061),f2(a908)),f2(x47061))
% 191.26/191.45 [4707]~P109(x47071)+E(f329(f105(x47071),f80(a908)),f80(x47071))
% 191.26/191.45 [4708]~P120(x47081)+E(f329(f107(x47081),f2(a1)),f2(x47081))
% 191.26/191.45 [4709]~P120(x47091)+E(f329(f107(x47091),f80(a1)),f80(x47091))
% 191.26/191.45 [4710]E(x47101,f2(a908))+~E(f329(f105(a1),x47101),f2(a1))
% 191.26/191.45 [4746]~P98(x47461)+E(f329(f81(x47461),f191(x47461)),f247(x47461))
% 191.26/191.45 [4747]~P79(x47471)+E(f329(f81(x47471),f2(x47471)),f2(x47471))
% 191.26/191.45 [4748]~P98(x47481)+E(f329(f81(x47481),f247(x47481)),f191(x47481))
% 191.26/191.45 [4749]~P89(x47491)+E(f329(f77(x47491),f2(x47491)),f2(x47491))
% 191.26/191.45 [4750]~P121(x47501)+E(f329(f77(x47501),f80(x47501)),f80(x47501))
% 191.26/191.45 [4751]~P4(x47511)+E(f329(f168(x47511),f118(x47511)),f2(x47511))
% 191.26/191.45 [4770]~P42(x47701)+P47(f329(f175(a1),x47701))
% 191.26/191.45 [4799]~P97(x47991)+E(f329(f81(x47991),f80(x47991)),f329(f108(x47991),a102))
% 191.26/191.45 [4814]~P97(x48141)+P35(x48141,f329(f108(x48141),a85))
% 191.26/191.45 [4840]P42(x48401)+~P47(f329(f175(a1),x48401))
% 191.26/191.45 [4887]E(f329(f105(a1),f329(a109,x48871)),x48871)+P1(f329(a196,x48871))
% 191.26/191.45 [4957]~P118(x49571)+E(f250(x49571,f80(x49571),f83(x49571)),f249(x49571))
% 191.26/191.45 [4990]~P97(x49901)+~P35(x49901,f329(f108(x49901),a102))
% 191.26/191.45 [5138]E(f329(f77(a1),x51381),x51381)+P1(f329(f329(f241(a1),x51381),f2(a1)))
% 191.26/191.45 [5156]~E(f329(a109,x51561),f2(a908))+P1(f329(f329(f240(a1),x51561),f2(a1)))
% 191.26/191.45 [5224]~P1(f329(a196,x52241))+P1(f329(f329(f241(a1),x52241),f2(a1)))
% 191.26/191.45 [5266]~P109(x52661)+P1(f329(f329(f331(x52661),f2(x52661)),f189(x52661)))
% 191.26/191.45 [5267]~P120(x52671)+P1(f329(f329(f331(x52671),f2(x52671)),f114(x52671)))
% 191.26/191.45 [5268]~P109(x52681)+P1(f329(f329(f331(x52681),f80(x52681)),f189(x52681)))
% 191.26/191.45 [5269]~P120(x52691)+P1(f329(f329(f331(x52691),f80(x52691)),f114(x52691)))
% 191.26/191.45 [5270]~P127(x52701)+P1(f329(f329(f240(x52701),f2(x52701)),f80(x52701)))
% 191.26/191.45 [5271]~P127(x52711)+P1(f329(f329(f241(x52711),f2(x52711)),f80(x52711)))
% 191.26/191.45 [5324]E(x53241,f2(a908))+~P1(f329(f329(f240(a908),x53241),f2(a908)))
% 191.26/191.45 [5366]E(f329(a109,x53661),f2(a908))+~P1(f329(f329(f240(a1),x53661),f2(a1)))
% 191.26/191.45 [5428]P1(f329(a196,x54281))+~P1(f329(f329(f241(a1),x54281),f2(a1)))
% 191.26/191.45 [5435]~P112(x54351)+P21(x54351,f909(x54351),f151(x54351,x54351,f5(x54351)))
% 191.26/191.45 [5453]P47(x54531)+~P1(f329(f329(f240(a1),f2(a1)),f335(x54531)))
% 191.26/191.45 [5458]E(f329(f77(a1),x54581),f329(f81(a1),x54581))+~P1(f329(f329(f241(a1),x54581),f2(a1)))
% 191.26/191.45 [5626]~P127(x56261)+~P1(f329(f329(f240(x56261),f80(x56261)),f2(x56261)))
% 191.26/191.45 [5627]~P127(x56271)+~P1(f329(f329(f241(x56271),f80(x56271)),f2(x56271)))
% 191.26/191.45 [5641]~E(x56411,f2(a908))+P1(f329(f329(f240(a1),f329(f105(a1),x56411)),f2(a1)))
% 191.26/191.45 [5642]~E(x56421,f2(a1))+P1(f329(f329(f241(a1),f329(f77(a1),x56421)),f80(a1)))
% 191.26/191.45 [5765]~P4(x57651)+E(f145(x57651,x57651,f82(x57651),f2(x57651)),f168(x57651))
% 191.26/191.45 [5940]~P106(x59401)+P30(a908,x59401,f105(x59401),f247(f916(a908,a903)))
% 191.26/191.45 [6141]E(x61411,f2(a908))+~P1(f329(f329(f240(a1),f329(f105(a1),x61411)),f2(a1)))
% 191.26/191.45 [6142]E(x61421,f2(a1))+~P1(f329(f329(f241(a1),f329(f77(a1),x61421)),f80(a1)))
% 191.26/191.45 [6941]~P1(f329(f329(f241(a1),x69411),f2(a1)))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x69411),x69411)),f2(a1)))
% 191.26/191.45 [7498]P1(f329(f329(f241(a1),x74981),f2(a1)))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),x74981),x74981)),f2(a1)))
% 191.26/191.45 [8059]E(x80591,f329(a3,f2(a908)))+P1(f329(f329(f241(a908),f329(f329(f23(a908),f329(a20,x80591)),f329(a117,f2(a908)))),f329(a20,x80591)))
% 191.26/191.45 [8838]~P1(f329(f329(f241(a1),x88381),f2(a1)))+P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88381),x88381)),a102)),f2(a1)))
% 191.26/191.45 [8927]~P1(f329(f329(f241(a1),x89271),f2(a1)))+P1(f329(f329(f241(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x89271)),x89271)),f2(a1)))
% 191.26/191.45 [9252]P1(f329(f329(f241(a1),x92521),f2(a1)))+~P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92521),x92521)),a102)),f2(a1)))
% 191.26/191.45 [9323]P1(f329(f329(f241(a1),x93231),f2(a1)))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x93231)),x93231)),f2(a1)))
% 191.26/191.45 [4788]~E(a85,x47881)+E(f329(f329(f82(a1),x47881),x47881),a85)
% 191.26/191.45 [4789]~E(x47891,a85)+E(f329(f329(f82(a1),x47891),x47891),a85)
% 191.26/191.45 [4800]E(x48001,f2(a1))+E(f329(f329(f37(a1),x48001),x48001),f80(a1))
% 191.26/191.45 [4934]E(x49341,a85)+~E(f329(f329(f82(a1),x49341),x49341),a85)
% 191.26/191.45 [4935]E(a85,x49351)+~E(f329(f329(f82(a1),x49351),x49351),a85)
% 191.26/191.45 [4947]~P10(x49471)+E(f39(x49471,f191(f916(x49471,a903))),f247(x49471))
% 191.26/191.45 [4948]~P10(x49481)+E(f39(x49481,f247(f916(x49481,a903))),f191(x49481))
% 191.26/191.45 [4949]~P10(x49491)+E(f38(x49491,f191(f916(x49491,a903))),f191(x49491))
% 191.26/191.45 [4950]~P10(x49501)+E(f38(x49501,f247(f916(x49501,a903))),f247(x49501))
% 191.26/191.45 [4951]~P112(x49511)+E(f142(x49511,f191(f916(x49511,a903))),f118(x49511))
% 191.26/191.45 [5094]E(x50941,f2(a908))+P1(f329(f329(f241(a908),f2(a908)),x50941))
% 191.26/191.45 [5113]~P11(x51131)+P1(f329(f329(f240(a1),f2(a1)),x51131))
% 191.26/191.45 [5147]~E(f329(f108(a908),x51471),f2(a908))+P1(f329(f329(f240(a1),x51471),a85))
% 191.26/191.45 [5152]P47(x51521)+P1(f329(f329(f331(a1),f335(x51521)),x51521))
% 191.26/191.45 [5153]E(x51531,f329(a3,f2(a908)))+P1(f329(f329(f240(a104),f80(a104)),x51531))
% 191.26/191.45 [5195]P1(f329(a196,x51951))+P1(f329(f329(f240(a1),f2(a1)),x51951))
% 191.26/191.45 [5248]E(f329(f105(a1),f329(a109,x52481)),f2(a1))+P1(f329(f329(f240(a1),f2(a1)),x52481))
% 191.26/191.45 [5306]E(f329(f105(a1),f329(f108(a908),x53061)),f329(f108(a1),x53061))+P1(f329(a196,f329(f108(a1),x53061)))
% 191.26/191.45 [5330]E(f329(f108(a908),x53301),f2(a908))+~P1(f329(a196,f329(f108(a1),x53301)))
% 191.26/191.45 [5331]E(f329(f108(a908),x53311),f2(a908))+~P1(f329(f329(f240(a1),x53311),a85))
% 191.26/191.45 [5363]P11(x53631)+~P1(f329(f329(f240(a1),f2(a1)),x53631))
% 191.26/191.45 [5438]E(f329(a117,f861(x54381)),x54381)+~P1(f329(f329(f241(a908),f2(a908)),x54381))
% 191.26/191.45 [5447]E(f329(a117,f329(f108(a908),x54471)),f80(a908))+~P1(f329(a196,f329(f108(a1),x54471)))
% 191.26/191.45 [5454]E(f329(f105(a1),f352(x54541)),x54541)+~P1(f329(f329(f241(a1),f2(a1)),x54541))
% 191.26/191.45 [5461]~E(x54611,f329(a3,f2(a908)))+~P1(f329(f329(f240(a104),f80(a104)),x54611))
% 191.26/191.45 [5468]E(f329(f105(a1),f329(f108(a908),x54681)),f2(a1))+~P1(f329(a196,f329(f108(a1),x54681)))
% 191.26/191.45 [5493]E(f329(f168(a908),x54931),f2(a908))+P1(f329(f329(f331(a908),f564(x54931)),f329(f175(a908),x54931)))
% 191.26/191.45 [5513]E(f329(f105(a1),f329(a109,x55131)),x55131)+~P1(f329(f329(f240(a1),f2(a1)),x55131))
% 191.26/191.45 [5521]~P1(f329(a196,x55211))+~P1(f329(f329(f240(a1),f2(a1)),x55211))
% 191.26/191.45 [5619]E(f329(f329(f82(a908),f80(a908)),f329(f108(a908),x56191)),f80(a908))+~P1(f329(f329(f241(a1),x56191),a85))
% 191.26/191.45 [5683]E(x56831,f2(a908))+~P1(f329(f329(f241(a908),x56831),f329(a117,f2(a908))))
% 191.26/191.45 [5723]E(f329(f329(f82(a908),f329(f108(a908),x57231)),f80(a908)),f80(a908))+~P1(f329(f329(f241(a1),x57231),a85))
% 191.26/191.45 [5724]E(f329(f329(f23(a908),f329(f108(a908),x57241)),f80(a908)),f2(a908))+~P1(f329(f329(f240(a1),x57241),a85))
% 191.26/191.45 [5736]~P47(x57361)+E(f329(f36(a908),f329(f312(a1,a908,a109),x57361)),f329(f36(a1),x57361))
% 191.26/191.45 [5766]~P112(x57661)+E(f243(x57661,f329(f7(x57661,x57661,a903),f240(x57661))),f238(x57661))
% 191.26/191.45 [5767]~P112(x57671)+E(f242(x57671,f329(f7(x57671,x57671,a903),f240(x57671))),f239(x57671))
% 191.26/191.45 [5777]E(f46(a908,f329(a117,f2(a908)),f329(f108(a908),x57771)),f329(a117,f2(a908)))+~P1(f329(a196,f329(f108(a1),x57771)))
% 191.26/191.45 [5786]~P1(f329(f329(f241(a1),f2(a1)),x57861))+P1(f329(f329(f240(a1),f80(a1)),x57861))
% 191.26/191.45 [5787]P1(f329(f329(f241(a1),f2(a1)),x57871))+~P1(f329(f329(f240(a1),f80(a1)),x57871))
% 191.26/191.45 [5798]E(f329(a117,f329(f329(f23(a908),x57981),f80(a908))),x57981)+~P1(f329(f329(f241(a908),f2(a908)),x57981))
% 191.26/191.45 [5854]P1(f329(f329(f241(a908),f2(a908)),f352(x58541)))+~P1(f329(f329(f241(a1),f2(a1)),x58541))
% 191.26/191.45 [5913]E(f46(a1,f329(f108(a1),a102),x59131),f329(f329(f23(a1),x59131),f80(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x59131))
% 191.26/191.45 [5953]~P1(f329(f329(f241(a1),a85),x59531))+P1(f329(f329(f241(a908),f2(a908)),f329(f108(a908),x59531)))
% 191.26/191.45 [5958]E(f329(a20,f834(x59581)),x59581)+~P1(f329(f329(f331(a908),x59581),f247(f916(a908,a903))))
% 191.26/191.45 [6006]P1(f329(f329(f241(a908),f2(a908)),f329(a109,x60061)))+~P1(f329(f329(f241(a1),f2(a1)),x60061))
% 191.26/191.45 [6055]~P1(f329(f329(f241(a908),f2(a908)),x60551))+P1(f329(f329(f241(a1),f2(a1)),f329(f105(a1),x60551)))
% 191.26/191.45 [6092]~P1(f329(f329(f241(a908),f2(a908)),f329(a109,x60921)))+P1(f329(f329(f241(a1),f2(a1)),x60921))
% 191.26/191.45 [6109]~P47(x61091)+E(f329(f312(a908,a1,f105(a1)),f329(f312(a1,a908,a109),x61091)),x61091)
% 191.26/191.45 [6122]P1(f329(f329(f241(a1),a85),x61221))+~P1(f329(f329(f241(a908),f2(a908)),f329(f108(a908),x61221)))
% 191.26/191.45 [6180]P1(f329(f329(f241(a908),f2(a908)),x61801))+~P1(f329(f329(f241(a1),f2(a1)),f329(f105(a1),x61801)))
% 191.26/191.45 [6294]E(f329(f312(a908,a1,f105(a1)),f329(f285(a908),f329(a109,x62941))),f329(f304(a1,f2(a1)),x62941))+~P1(f329(f329(f240(a1),f2(a1)),x62941))
% 191.26/191.45 [6311]~P127(x63111)+P1(f329(f329(f241(x63111),f2(x63111)),f329(f329(f82(x63111),f80(x63111)),f80(x63111))))
% 191.26/191.45 [6360]P1(f329(f329(f241(a908),f329(a117,f2(a908))),f329(a109,x63601)))+~P1(f329(f329(f241(a1),f80(a1)),x63601))
% 191.26/191.45 [6457]E(x64571,f2(a1))+P1(f329(f50(f2(a1),x64571),f329(f329(f257(a1,a1),f2(a1)),f2(a1))))
% 191.26/191.45 [6628]~P1(f329(f329(f241(a908),f329(a117,f2(a908))),f329(a109,x66281)))+P1(f329(f329(f241(a1),f80(a1)),x66281))
% 191.26/191.45 [7052]~P110(x70521)+P43(x70521,f329(f267(f915(x70521,x70521)),f329(f262(x70521,x70521,a903),f241(x70521))))
% 191.26/191.45 [7217]P33(a902,a921,f329(f329(f329(f93(a902),f329(a919,x72171)),f329(a26,x72171)),f329(a922,x72171)))+~P1(f329(f329(f331(a906),x72171),a918))
% 191.26/191.45 [5670]E(f329(f108(a908),f329(f329(f23(a1),x56701),a102)),f329(a117,f329(f108(a908),x56701)))+P1(f329(a196,f329(f108(a1),x56701)))
% 191.26/191.45 [5686]~P42(x56861)+E(f329(f329(f157(a908,a1),f105(a1)),f329(f329(f157(a1,a908),a109),x56861)),x56861)
% 191.26/191.45 [5700]P33(a902,a921,x57001)+~P1(f329(f329(f331(f907(a902)),x57001),a920))
% 191.26/191.45 [5804]E(f329(f81(a1),f329(f105(a1),f329(a117,f353(x58041)))),x58041)+~P1(f329(f329(f241(a1),x58041),f2(a1)))
% 191.26/191.45 [5814]E(f329(f329(f82(a908),f80(a908)),f329(f108(a908),x58141)),f329(f108(a908),f329(f329(f23(a1),x58141),a102)))+P1(f329(f329(f241(a1),x58141),a85))
% 191.26/191.45 [5856]E(f329(f329(f37(a1),f329(f108(a1),a102)),x58561),f329(f108(a1),a102))+~P1(f329(f329(f241(a1),f2(a1)),x58561))
% 191.26/191.45 [5949]E(f329(f329(f82(a908),f329(f108(a908),x59491)),f80(a908)),f329(f108(a908),f329(f329(f23(a1),x59491),a102)))+P1(f329(f329(f241(a1),x59491),a85))
% 191.26/191.45 [5950]E(f329(f329(f23(a908),f329(f108(a908),x59501)),f80(a908)),f329(f108(a908),f329(f329(f82(a1),x59501),a102)))+P1(f329(f329(f240(a1),x59501),a85))
% 191.26/191.45 [5993]E(f329(a109,f329(f329(f82(a1),f80(a1)),x59931)),f329(a117,f329(a109,x59931)))+~P1(f329(f329(f240(a1),f2(a1)),x59931))
% 191.26/191.45 [6027]E(f329(a117,f329(f329(f23(a908),x60271),f329(a117,f2(a908)))),x60271)+~P1(f329(f329(f241(a908),f2(a908)),x60271))
% 191.26/191.45 [6246]E(f46(a908,f329(a117,f2(a908)),f329(f108(a908),x62461)),f329(a109,f46(a1,f80(a1),f329(f108(a1),x62461))))+P1(f329(a196,f329(f108(a1),x62461)))
% 191.26/191.45 [6287]~P1(f329(f329(f240(a1),a85),x62871))+P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x62871),x62871)))
% 191.26/191.45 [6288]~P1(f329(f329(f241(a1),a102),x62881))+P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x62881),x62881)))
% 191.26/191.45 [6289]~P1(f329(f329(f241(a1),a85),x62891))+P1(f329(f329(f241(a1),a85),f329(f329(f82(a1),x62891),x62891)))
% 191.26/191.45 [6290]~P1(f329(f329(f241(a1),a102),x62901))+P1(f329(f329(f241(a1),a102),f329(f329(f82(a1),x62901),x62901)))
% 191.26/191.45 [6470]~P1(f329(f62(x64701),f247(f916(x64701,a903))))+P1(f329(f62(f912(x64701)),f247(f916(f912(x64701),a903))))
% 191.26/191.45 [6559]~P1(f329(f329(f240(a1),f2(a1)),x65591))+P1(f329(f329(f241(a1),f2(a1)),f329(f329(f82(a1),f80(a1)),x65591)))
% 191.26/191.45 [6566]E(f329(f256(a1,a1),f48(f80(a1),f329(f108(a1),x65661))),f329(f329(f37(a1),f80(a1)),f329(f108(a1),x65661)))+~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x65661)))
% 191.26/191.45 [6586]E(f329(f261(a1,a1),f48(f80(a1),f329(f108(a1),x65861))),f46(a1,f80(a1),f329(f108(a1),x65861)))+~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x65861)))
% 191.26/191.45 [6597]P1(f329(f62(x65971),f247(f916(x65971,a903))))+~P1(f329(f62(f912(x65971)),f247(f916(f912(x65971),a903))))
% 191.26/191.45 [6629]P1(f329(f329(f240(a1),a85),x66291))+~P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x66291),x66291)))
% 191.26/191.45 [6630]P1(f329(f329(f241(a1),a85),x66301))+~P1(f329(f329(f241(a1),a85),f329(f329(f82(a1),x66301),x66301)))
% 191.26/191.45 [6631]P1(f329(f329(f241(a1),a102),x66311))+~P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x66311),x66311)))
% 191.26/191.45 [6632]P1(f329(f329(f241(a1),a102),x66321))+~P1(f329(f329(f241(a1),a102),f329(f329(f82(a1),x66321),x66321)))
% 191.26/191.45 [6945]~P1(f329(f62(x69451),f247(f916(x69451,a903))))+P1(f329(f329(f241(a908),f2(a908)),f329(f36(x69451),f247(f916(x69451,a903)))))
% 191.26/191.45 [7540]P1(f329(f62(a908),x75401))+~P1(f329(f62(a1),f329(f312(a908,a1,f105(a1)),x75401)))
% 191.26/191.45 [5594]~E(a102,x55941)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55941),x55941)),a102),a102)
% 191.26/191.45 [5595]~E(x55951,a102)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55951),x55951)),a102),a102)
% 191.26/191.45 [6117]E(x61171,a102)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61171),x61171)),a102),a102)
% 191.26/191.45 [6118]E(a102,x61181)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61181),x61181)),a102),a102)
% 191.26/191.45 [6527]~E(f329(f108(a908),x65271),f2(a908))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x65271),a102))))
% 191.26/191.45 [6875]~P1(f329(a196,f329(f108(a1),x68751)))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x68751),x68751))))
% 191.26/191.45 [6876]~P1(f329(f329(f240(a1),x68761),a85))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68761),x68761)),a85))
% 191.26/191.45 [6877]~P1(f329(f329(f240(a1),x68771),a102))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68771),x68771)),a102))
% 191.26/191.45 [6878]~P1(f329(f329(f241(a1),x68781),a85))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x68781),x68781)),a85))
% 191.26/191.45 [6879]~P1(f329(f329(f240(a1),x68791),a102))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x68791),x68791)),a102))
% 191.26/191.45 [7196]E(f329(f108(a908),x71961),f2(a908))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x71961),a102))))
% 191.26/191.45 [7452]~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x74521)))+P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f329(f329(f82(a1),x74521),x74521))))
% 191.26/191.45 [7453]P1(f329(a196,f329(f108(a1),x74531)))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x74531),x74531))))
% 191.26/191.45 [7454]P1(f329(f329(f240(a1),x74541),a85))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74541),x74541)),a85))
% 191.26/191.45 [7455]P1(f329(f329(f240(a1),x74551),a102))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74551),x74551)),a102))
% 191.26/191.45 [7456]P1(f329(f329(f240(a1),x74561),a102))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),x74561),x74561)),a102))
% 191.26/191.45 [7457]P1(f329(f329(f241(a1),x74571),a85))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),x74571),x74571)),a85))
% 191.26/191.45 [7821]E(f329(a112,f528(x78211)),x78211)+~P1(f329(f329(f331(f916(f915(a908,a908),a903)),x78211),a103))
% 191.26/191.45 [6443]~P97(x64431)+E(f329(f108(x64431),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(x64431))
% 191.26/191.45 [6925]~P1(f329(a196,f329(f108(a1),x69251)))+E(f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),x69251),x69251)),a102)),f2(a908))
% 191.26/191.45 [8004]~P1(f329(f329(f241(a1),f329(f108(a1),x80041)),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f51(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x80041))))),f329(f329(f37(a1),f80(a1)),f329(f108(a1),x80041)))
% 191.26/191.45 [8017]~P1(f329(f329(f241(a1),f329(f108(a1),x80171)),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f51(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x80171))))),f46(a1,f80(a1),f329(f108(a1),x80171)))
% 191.26/191.45 [8067]~P1(f329(f329(f240(a1),a85),x80671))+P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80671),x80671)),a102)))
% 191.26/191.45 [8068]~P1(f329(f329(f240(a1),a102),x80681))+P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80681),x80681)),a102)))
% 191.26/191.45 [8069]~P1(f329(f329(f240(a1),a85),x80691))+P1(f329(f329(f241(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80691),x80691)),a102)))
% 191.26/191.45 [8070]~P1(f329(f329(f241(a1),a102),x80701))+P1(f329(f329(f241(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80701),x80701)),a102)))
% 191.26/191.45 [8376]~P97(x83761)+~P35(x83761,f329(f108(x83761),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 191.26/191.45 [8561]P1(f329(f329(f240(a1),a85),x85611))+~P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85611),x85611)),a102)))
% 191.26/191.45 [8562]P1(f329(f329(f240(a1),a85),x85621))+~P1(f329(f329(f241(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85621),x85621)),a102)))
% 191.26/191.45 [8563]P1(f329(f329(f240(a1),a102),x85631))+~P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85631),x85631)),a102)))
% 191.26/191.45 [8564]P1(f329(f329(f241(a1),a102),x85641))+~P1(f329(f329(f241(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85641),x85641)),a102)))
% 191.26/191.45 [8881]E(f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),x88811),x88811)),a102)),f329(f329(f88(a908,a908),f329(f108(a908),x88811)),f329(f329(f8(a908,a908,a908),a117),f329(f329(f18(a908,a908,a908),f82(a908)),f5(a908)))))+P1(f329(a196,f329(f108(a1),x88811)))
% 191.26/191.45 [9744]E(x97441,f191(f916(f915(a908,a908),a903)))+P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x97441),f191(f916(f915(a908,a908),a903)))),a70))
% 191.26/191.45 [8812]~P1(f329(a196,f329(f108(a1),x88121)))+P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88121),x88121)),a102))))
% 191.26/191.45 [8813]~P1(f329(f329(f241(a1),x88131),a85))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88131),x88131)),a102)),a85))
% 191.26/191.45 [8814]~P1(f329(f329(f240(a1),x88141),a102))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88141),x88141)),a102)),a102))
% 191.26/191.45 [8815]~P1(f329(f329(f241(a1),x88151),a85))+P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88151),x88151)),a102)),a85))
% 191.26/191.45 [8816]~P1(f329(f329(f241(a1),x88161),a102))+P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88161),x88161)),a102)),a102))
% 191.26/191.45 [8920]~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x89201)))+P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89201),x89201)),a102))))
% 191.26/191.45 [9080]~P97(x90801)+E(f329(f329(f82(x90801),f80(x90801)),f80(x90801)),f329(f108(x90801),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))
% 191.26/191.45 [9236]P1(f329(a196,f329(f108(a1),x92361)))+~P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92361),x92361)),a102))))
% 191.26/191.45 [9237]P1(f329(f329(f240(a1),x92371),a102))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92371),x92371)),a102)),a102))
% 191.26/191.45 [9238]P1(f329(f329(f241(a1),x92381),a85))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92381),x92381)),a102)),a85))
% 191.26/191.45 [9239]P1(f329(f329(f241(a1),x92391),a85))+~P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92391),x92391)),a102)),a85))
% 191.26/191.45 [9240]P1(f329(f329(f241(a1),x92401),a102))+~P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92401),x92401)),a102)),a102))
% 191.26/191.45 [9789]~P1(f329(f62(f915(a908,a908)),x97891))+P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),f191(f916(f915(a908,a908),a903))),x97891)),a71))
% 191.26/191.45 [9571]~P109(x95711)+E(f329(f329(f249(x95711),f2(x95711)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(x95711))
% 191.26/191.45 [9572]~P109(x95721)+E(f329(f329(f249(x95721),f80(x95721)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x95721))
% 191.26/191.45 [10011]~P1(f329(f329(f241(a908),f80(a908)),x100111))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f37(a908),x100111),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.45 [10017]~P1(f329(f329(f241(a908),f2(a908)),x100171))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f37(a908),f329(f329(f82(a908),x100171),f80(a908))),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.45 [10057]~E(f46(a908,x100571,f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(a908))+P1(f329(f329(f241(a908),f2(a908)),f46(a908,x100571,f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.45 [10076]E(f46(a908,x100761,f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(a908))+~P1(f329(f329(f241(a908),f2(a908)),f46(a908,x100761,f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.45 [4715]~P12(x47151,x47152)+P56(x47151,x47152)
% 191.26/191.45 [4716]~P43(x47161,x47162)+P65(x47161,x47162)
% 191.26/191.45 [4717]~P51(x47171,x47172)+P65(x47171,x47172)
% 191.26/191.45 [4719]~P12(x47191,x47192)+P57(x47191,x47192)
% 191.26/191.45 [4721]~P20(x47211,x47212)+P57(x47211,x47212)
% 191.26/191.45 [4723]~P12(x47231,x47232)+P58(x47231,x47232)
% 191.26/191.45 [4725]~P20(x47251,x47252)+P58(x47251,x47252)
% 191.26/191.45 [4726]~P12(x47261,x47262)+P20(x47261,x47262)
% 191.26/191.45 [4676]~E(x46761,x46762)+E(f274(x46761,x46762),f80(a104))
% 191.26/191.45 [4679]E(f220(x46791,x46792),x46791)+~E(x46792,f2(a908))
% 191.26/191.45 [4686]~E(x46862,f118(x46861))+E(f155(x46861,x46862),f118(x46861))
% 191.26/191.45 [4705]~E(f155(x47052,x47051),f118(x47052))+E(x47051,f118(x47052))
% 191.26/191.45 [4730]~P2(x47302)+P2(f916(x47301,x47302))
% 191.26/191.45 [4731]~P2(x47312)+P103(f916(x47311,x47312))
% 191.26/191.45 [4732]~P100(x47322)+P3(f916(x47321,x47322))
% 191.26/191.45 [4733]~P105(x47332)+P105(f916(x47331,x47332))
% 191.26/191.45 [4734]~P111(x47342)+P111(f916(x47341,x47342))
% 191.26/191.45 [4735]~P113(x47352)+P113(f916(x47351,x47352))
% 191.26/191.45 [4736]~P114(x47362)+P114(f916(x47361,x47362))
% 191.26/191.45 [4737]~P81(x47372)+P81(f916(x47371,x47372))
% 191.26/191.45 [4738]~P2(x47382)+P104(f916(x47381,x47382))
% 191.26/191.45 [4739]~P101(x47392)+P101(f916(x47391,x47392))
% 191.26/191.45 [4740]~P10(x47402)+P10(f916(x47401,x47402))
% 191.26/191.45 [4741]~P98(x47412)+P98(f916(x47411,x47412))
% 191.26/191.45 [4742]~P92(x47422)+P92(f916(x47421,x47422))
% 191.26/191.45 [4743]~P115(x47432)+P115(f916(x47431,x47432))
% 191.26/191.45 [4744]~P100(x47442)+P102(f916(x47441,x47442))
% 191.26/191.45 [4745]~P100(x47452)+P100(f916(x47451,x47452))
% 191.26/191.45 [4758]E(x47581,x47582)+~E(f329(a117,x47581),f329(a117,x47582))
% 191.26/191.45 [4759]E(x47591,x47592)+~E(f329(a26,x47591),f329(a26,x47592))
% 191.26/191.45 [4760]E(x47601,x47602)+~E(f329(a112,x47601),f329(a112,x47602))
% 191.26/191.45 [4761]E(x47611,x47612)+~E(f329(a3,x47611),f329(a3,x47612))
% 191.26/191.45 [4763]E(x47631,x47632)+~E(f329(a20,x47631),f329(a20,x47632))
% 191.26/191.45 [4816]P45(x48161,x48162)+~E(f730(x48162,x48161),f731(x48162,x48161))
% 191.26/191.45 [4846]~P65(x48461,x48462)+P45(x48461,f309(x48461,x48462))
% 191.26/191.45 [4847]~P59(x48471,x48472)+P59(x48471,f309(x48471,x48472))
% 191.26/191.45 [4860]~P68(x48601)+E(f46(x48601,x48602,x48602),f2(x48601))
% 191.26/191.45 [4894]~P43(x48941,x48942)+P43(f909(x48941),f149(x48941,x48942))
% 191.26/191.45 [4895]~P43(x48951,x48952)+P43(f909(x48951),f148(x48951,x48952))
% 191.26/191.45 [4896]~P44(x48961,x48962)+P44(f909(x48961),f150(x48961,x48962))
% 191.26/191.45 [4897]~P44(x48971,x48972)+P44(f909(x48971),f161(x48971,x48972))
% 191.26/191.45 [4898]~P59(x48981,x48982)+P59(f909(x48981),f161(x48981,x48982))
% 191.26/191.45 [4995]~P43(x49951,x49952)+P43(f916(x49951,a903),f322(x49951,x49952))
% 191.26/191.45 [4996]~P43(x49961,x49962)+P43(f916(x49961,a903),f320(x49961,x49962))
% 191.26/191.45 [5122]~P11(x51221)+P47(f305(a1,x51221,x51222))
% 191.26/191.45 [5227]~P43(x52271,x52272)+P67(x52271,f68(x52271,x52271,x52272))
% 191.26/191.45 [5730]~P86(x57301)+P30(x57301,x57301,f81(x57301),x57302)
% 191.26/191.45 [4700]~E(x47002,f118(x47001))+E(f329(f170(x47001),x47002),f118(x47001))
% 191.26/191.45 [4701]~E(x47012,f118(x47011))+E(f329(f171(x47011),x47012),f118(x47011))
% 191.26/191.45 [4765]E(x47651,f329(a109,x47652))+~E(f329(f105(a1),x47651),x47652)
% 191.26/191.45 [4768]E(x47681,f118(x47682))+~E(f329(f170(x47682),x47681),f118(x47682))
% 191.26/191.45 [4769]E(x47691,f118(x47692))+~E(f329(f171(x47692),x47691),f118(x47692))
% 191.26/191.45 [4785]~P97(x47851)+E(f329(f108(x47851),x47852),f329(f107(x47851),x47852))
% 191.26/191.45 [4793]~P9(x47931)+P1(f329(f62(x47931),x47932))
% 191.26/191.45 [4801]~E(f691(x48012,x48011),f118(x48011))+E(f182(x48011,x48012),f118(f909(x48011)))
% 191.26/191.45 [4810]~E(x48102,f118(x48101))+E(f329(f175(x48101),x48102),f191(f916(x48101,a903)))
% 191.26/191.45 [4811]~E(x48112,f118(x48111))+E(f191(f916(x48111,a903)),f329(f175(x48111),x48112))
% 191.26/191.45 [4813]E(x48131,x48132)+~E(f329(f105(a1),x48131),f329(f105(a1),x48132))
% 191.26/191.45 [4817]E(f218(x48171,x48172),f2(a908))+P1(f329(f62(x48171),x48172))
% 191.26/191.45 [4835]~P121(x48351)+E(f84(x48351,f84(x48351,x48352)),f84(x48351,x48352))
% 191.26/191.45 [4849]~P116(x48491)+E(f329(f329(f249(x48491),x48492),f80(a908)),x48492)
% 191.26/191.45 [4850]~P88(x48501)+E(f329(f329(f249(x48501),x48502),f80(a908)),x48502)
% 191.26/191.45 [4851]~P59(x48511,x48512)+E(f329(f289(x48511,x48511),x48512),x48512)
% 191.26/191.45 [4855]E(x48551,x48552)+E(f274(x48551,x48552),f329(f329(f82(a104),x48552),f80(a104)))
% 191.26/191.45 [4858]E(f329(f36(x48581),x48582),f2(a908))+P1(f329(f62(x48581),x48582))
% 191.26/191.45 [4861]~E(f155(x48611,x48612),x48612)+P1(f329(f140(x48611),x48612))
% 191.26/191.45 [4864]~P3(x48641)+E(f329(f329(f115(x48641),x48642),f191(x48641)),x48642)
% 191.26/191.45 [4865]~P4(x48651)+E(f329(f329(f82(x48651),x48652),f2(x48651)),x48652)
% 191.26/191.45 [4866]~P116(x48661)+E(f329(f329(f82(x48661),x48662),f2(x48661)),x48662)
% 191.26/191.45 [4867]~P5(x48671)+E(f329(f329(f82(x48671),x48672),f2(x48671)),x48672)
% 191.26/191.45 [4868]~P79(x48681)+E(f329(f329(f23(x48681),x48682),f2(x48681)),x48682)
% 191.26/191.45 [4869]~P102(x48691)+E(f329(f329(f106(x48691),x48692),f247(x48691)),x48692)
% 191.26/191.45 [4870]~P116(x48701)+E(f329(f329(f83(x48701),x48702),f80(x48701)),x48702)
% 191.26/191.45 [4871]~P80(x48711)+E(f329(f329(f83(x48711),x48712),f80(x48711)),x48712)
% 191.26/191.45 [4872]~P88(x48721)+E(f329(f329(f83(x48721),x48722),f80(x48721)),x48722)
% 191.26/191.45 [4873]~P68(x48731)+E(f329(f329(f37(x48731),x48732),f80(x48731)),x48732)
% 191.26/191.45 [4874]~P124(x48741)+E(f329(f329(f292(x48741),x48742),f80(x48741)),x48742)
% 191.26/191.45 [4875]~P116(x48751)+E(f329(f329(f249(x48751),x48752),f2(a908)),f80(x48751))
% 191.26/191.45 [4876]~P118(x48761)+E(f329(f329(f249(x48761),x48762),f2(a908)),f80(x48761))
% 191.26/191.45 [4877]~E(x48772,f191(f916(x48771,a903)))+E(f329(f36(x48771),x48772),f2(a908))
% 191.26/191.45 [4888]~P68(x48881)+E(f46(x48881,x48882,f2(x48881)),x48882)
% 191.26/191.45 [4899]~P102(x48991)+E(f329(f329(f115(x48991),x48992),f247(x48991)),f247(x48991))
% 191.26/191.45 [4900]~P3(x49001)+E(f329(f329(f106(x49001),x49002),f191(x49001)),f191(x49001))
% 191.26/191.45 [4901]~P116(x49011)+E(f329(f329(f83(x49011),x49012),f2(x49011)),f2(x49011))
% 191.26/191.45 [4902]~P132(x49021)+E(f329(f329(f83(x49021),x49022),f2(x49021)),f2(x49021))
% 191.26/191.45 [4903]~P68(x49031)+E(f329(f329(f37(x49031),x49032),f2(x49031)),f2(x49031))
% 191.26/191.45 [4904]~P125(x49041)+E(f329(f329(f292(x49041),x49042),f2(x49041)),f2(x49041))
% 191.26/191.45 [4906]~P68(x49061)+E(f46(x49061,x49062,f80(x49061)),f2(x49061))
% 191.26/191.45 [4907]~P68(x49071)+E(f46(x49071,f2(x49071),x49072),f2(x49071))
% 191.26/191.45 [4936]E(x49361,f2(a908))+E(f56(x49362,x49361,f118(x49362)),f118(f909(x49362)))
% 191.26/191.45 [4959]P59(x49591,x49592)+~E(f329(f289(x49591,x49591),x49592),x49592)
% 191.26/191.45 [4960]P43(x49601,x49602)+~E(f565(x49602,x49601),f191(f916(x49601,a903)))
% 191.26/191.45 [4961]E(x49611,f118(x49612))+~E(f329(f175(x49612),x49611),f191(f916(x49612,a903)))
% 191.26/191.45 [4962]E(x49621,f118(x49622))+~E(f191(f916(x49622,a903)),f329(f175(x49622),x49621))
% 191.26/191.45 [4965]~E(x49651,x49652)+P1(f329(f329(a326,x49651),x49652))
% 191.26/191.45 [4975]P1(x49751)+P1(f329(f329(a332,x49751),x49752))
% 191.26/191.45 [4976]E(x49761,f118(x49762))+E(f329(f329(f167(x49762),x49761),f2(a908)),f329(f144(x49762),x49761))
% 191.26/191.45 [4979]E(f155(x49791,x49792),x49792)+~P1(f329(f140(x49791),x49792))
% 191.26/191.45 [4986]~P1(x49862)+P1(f329(f329(a332,x49861),x49862))
% 191.26/191.45 [4987]~P1(x49872)+P1(f329(f329(a328,x49871),x49872))
% 191.26/191.45 [4988]~P1(x49881)+P1(f329(f329(a328,x49881),x49882))
% 191.26/191.45 [4998]~E(f692(x49982,x49981),f696(x49982,x49981))+P1(f329(f140(x49981),x49982))
% 191.26/191.45 [5005]E(f329(f267(x50051),x50052),f191(f916(x50051,a903)))+P1(f329(x50052,f505(x50052)))
% 191.26/191.45 [5006]E(f191(f916(x50061,a903)),f329(f267(x50061),x50062))+P1(f329(x50062,f506(x50062)))
% 191.26/191.45 [5076]~P121(x50761)+E(f329(f329(f83(x50761),x50762),f84(x50761,x50762)),f329(f77(x50761),x50762))
% 191.26/191.45 [5087]~E(x50871,f2(a1))+E(f47(x50871,x50872),f329(f329(f257(a1,a1),f2(a1)),f2(a1)))
% 191.26/191.45 [5118]~P65(x51181,x51182)+P65(x51181,f329(f289(x51181,x51181),x51182))
% 191.26/191.45 [5119]~P44(x51191,x51192)+P44(x51191,f329(f289(x51191,x51191),x51192))
% 191.26/191.45 [5120]~P45(x51201,x51202)+P45(x51201,f329(f289(x51201,x51201),x51202))
% 191.26/191.45 [5121]~P59(x51211,x51212)+P59(x51211,f329(f289(x51211,x51211),x51212))
% 191.26/191.45 [5143]E(x51431,x51432)+~P1(f329(f329(a326,x51431),x51432))
% 191.26/191.45 [5154]P1(x51541)+~P1(f329(f329(a327,x51542),x51541))
% 191.26/191.45 [5155]P1(x51551)+~P1(f329(f329(a327,x51551),x51552))
% 191.26/191.45 [5160]~P115(x51601)+P1(f329(f329(f240(x51601),x51602),f247(x51601)))
% 191.26/191.45 [5164]E(x51641,x51642)+~E(f329(x51641,f426(x51642,x51641)),f329(x51642,f426(x51642,x51641)))
% 191.26/191.45 [5197]E(x51971,f2(a908))+E(f220(x51971,f46(a908,x51972,x51971)),f220(x51972,x51971))
% 191.26/191.45 [5202]~P112(x52021)+P18(x52021,f329(f329(f154(x52021),x52022),f118(x52021)))
% 191.26/191.45 [5206]E(x52061,f2(a1))+P1(f329(f50(x52062,x52061),f47(x52062,x52061)))
% 191.26/191.45 [5222]~P20(x52222,x52221)+P1(f329(f329(x52221,f826(x52221)),f826(x52221)))
% 191.26/191.45 [5225]~E(x52251,x52252)+P1(f329(f329(f241(a908),x52251),f329(a117,x52252)))
% 191.26/191.45 [5235]~E(x52351,f2(a908))+P1(f329(f329(f241(a908),x52351),f329(a117,x52352)))
% 191.26/191.45 [5247]P1(f329(x52471,x52472))+P1(f329(f329(f240(a1),f2(a1)),f337(x52471)))
% 191.26/191.45 [5311]P65(x53111,x53112)+~P65(x53111,f329(f289(x53111,x53111),x53112))
% 191.26/191.45 [5312]P44(x53121,x53122)+~P44(x53121,f329(f289(x53121,x53121),x53122))
% 191.26/191.45 [5313]P45(x53131,x53132)+~P45(x53131,f329(f289(x53131,x53131),x53132))
% 191.26/191.45 [5314]P59(x53141,x53142)+~P59(x53141,f329(f289(x53141,x53141),x53142))
% 191.26/191.45 [5317]~E(f46(a908,x53172,x53171),f2(a908))+E(f329(f329(f83(a908),x53171),f340(x53171,x53172)),x53172)
% 191.26/191.45 [5318]~E(f46(a1,x53182,x53181),f2(a1))+E(f329(f329(f83(a1),x53181),f860(x53181,x53182)),x53182)
% 191.26/191.45 [5344]~P1(f329(x53441,x53442))+P1(f329(f329(f240(a1),f2(a1)),f336(x53441)))
% 191.26/191.45 [5355]E(f329(f329(f23(a908),f329(a109,x53551)),f329(a109,x53552)),f329(a109,x53551))+~P1(f329(a196,x53552))
% 191.26/191.45 [5384]E(f275(x53841,x53842),f80(a104))+~P1(f329(f329(f240(a104),x53841),f80(a104)))
% 191.26/191.45 [5479]E(f329(f329(f167(x54791),x54792),f692(x54792,x54791)),f329(f329(f167(x54791),x54792),f696(x54792,x54791)))+P1(f329(f140(x54791),x54792))
% 191.26/191.45 [5522]~P1(f329(x55221,f92(x55222,x55221)))+P1(f329(x55221,f566(x55222,x55221)))
% 191.26/191.45 [5584]P67(x55841,x55842)+~P1(f329(f317(x55841,x55842),f536(x55842,x55841)))
% 191.26/191.45 [5727]~P20(x57272,x57271)+P1(f329(f329(x57271,f827(x57271,x57272)),f827(x57271,x57272)))
% 191.26/191.45 [5728]~P20(x57282,x57281)+P1(f329(f329(x57281,f830(x57281,x57282)),f830(x57281,x57282)))
% 191.26/191.45 [5737]~E(f329(a117,f46(a908,x57371,x57372)),x57372)+E(f46(a908,f329(a117,x57371),x57372),f2(a908))
% 191.26/191.45 [5793]P43(x57931,x57932)+P1(f329(f329(f331(x57931),f609(x57932,x57931)),f610(x57932,x57931)))
% 191.26/191.45 [5800]~P97(x58001)+P1(f329(f329(f331(x58001),f329(f108(x58001),x58002)),f114(x58001)))
% 191.26/191.45 [5801]~P109(x58011)+P1(f329(f329(f331(x58011),f329(f105(x58011),x58012)),f189(x58011)))
% 191.26/191.45 [5802]~P120(x58021)+P1(f329(f329(f331(x58021),f329(f105(x58021),x58022)),f114(x58021)))
% 191.26/191.45 [5803]~P120(x58031)+P1(f329(f329(f331(x58031),f329(f107(x58031),x58032)),f114(x58031)))
% 191.26/191.45 [5935]~P44(x59351,x59352)+E(f329(f329(f291(x59351,x59351,x59351),x59352),f309(x59351,x59352)),x59352)
% 191.26/191.45 [5952]E(f329(a117,f46(a908,x59521,x59522)),x59522)+E(f46(a908,f329(a117,x59521),x59522),f329(a117,f46(a908,x59521,x59522)))
% 191.26/191.45 [6372]P43(x63721,x63722)+~P1(f329(f329(f331(x63721),f537(x63722,x63721)),f318(x63721,x63722)))
% 191.26/191.45 [6409]~P127(x64091)+~P1(f329(f329(f241(x64091),f329(f105(x64091),x64092)),f2(x64091)))
% 191.26/191.45 [6410]~P89(x64101)+~P1(f329(f329(f241(x64101),f329(f77(x64101),x64102)),f2(x64101)))
% 191.26/191.45 [6499]P1(f329(f329(f241(a1),x64991),f46(a1,x64992,x64991)))+~P1(f329(f329(f241(a1),x64991),f2(a1)))
% 191.26/191.45 [6599]E(f329(f329(f311(a908),f329(a117,x65991)),f305(a908,x65992,x65991)),f305(a908,x65992,f329(a117,x65991)))+~P1(f329(f329(f240(a908),x65992),f329(a117,x65991)))
% 191.26/191.45 [6690]~P112(x66901)+P18(x66901,f153(x66901,x66901,f5(x66901),x66902))
% 191.26/191.45 [6820]E(f329(f170(x68201),x68202),x68202)+~P1(f329(f329(f240(a908),f329(f192(f909(x68201)),x68202)),f80(a908)))
% 191.26/191.45 [6839]~P89(x68391)+P1(f329(f329(f240(x68391),f329(f81(x68391),f329(f77(x68391),x68392))),f2(x68391)))
% 191.26/191.45 [6871]~P43(x68711,x68712)+P43(x68711,f329(f329(f291(x68711,x68711,x68711),x68712),f309(x68711,x68712)))
% 191.26/191.45 [6872]~P59(x68721,x68722)+P59(x68721,f329(f329(f291(x68721,x68721,x68721),x68722),f309(x68721,x68722)))
% 191.26/191.45 [7091]~P1(f329(f329(f241(a1),x70912),f2(a1)))+P1(f329(f329(f240(a1),f46(a1,x70911,x70912)),f2(a1)))
% 191.26/191.45 [7495]~P109(x74951)+E(f193(x74951,f329(f329(f7(x74951,x74951,x74951),f82(x74951)),f80(x74951)),x74952,f2(x74951)),f329(f105(x74951),x74952))
% 191.26/191.45 [7526]~P128(x75261)+~P1(f329(f329(f241(x75261),f329(f329(f83(x75261),x75262),x75262)),f2(x75261)))
% 191.26/191.45 [10162]~P121(x101621)+~P1(f329(f329(f241(x101621),f329(f329(f249(x101621),x101622),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x101621)))
% 191.26/191.45 [4766]~E(x47662,f118(x47661))+E(f329(f192(f909(x47661)),x47662),f2(a908))
% 191.26/191.45 [4802]~E(x48021,f2(a908))+E(f329(f329(f82(a908),x48021),x48022),x48022)
% 191.26/191.45 [4803]~E(x48032,f2(a908))+E(f329(f329(f83(a908),x48031),x48032),f2(a908))
% 191.26/191.45 [4805]~E(x48051,f2(a908))+E(f329(f329(f83(a908),x48051),x48052),f2(a908))
% 191.26/191.45 [4806]~E(x48062,f2(a908))+E(f329(f329(f249(a908),x48061),x48062),f80(a908))
% 191.26/191.45 [4807]~E(x48072,f2(a1))+E(f329(f329(f37(a1),x48071),x48072),f2(a1))
% 191.26/191.45 [4818]E(x48181,f118(x48182))+~E(f329(f192(f909(x48182)),x48181),f2(a908))
% 191.26/191.45 [4819]~P2(x48191)+E(f329(f329(f115(x48191),x48192),x48192),x48192)
% 191.26/191.45 [4821]~P103(x48211)+E(f329(f329(f115(x48211),x48212),x48212),x48212)
% 191.26/191.45 [4822]~P2(x48221)+E(f329(f329(f106(x48221),x48222),x48222),x48222)
% 191.26/191.45 [4824]~P104(x48241)+E(f329(f329(f106(x48241),x48242),x48242),x48242)
% 191.26/191.45 [4826]~P99(x48261)+E(f329(f329(f83(x48261),x48262),x48262),x48262)
% 191.26/191.45 [4828]~P112(x48281)+E(f329(f329(f238(x48281),x48282),x48282),x48282)
% 191.26/191.45 [4830]~P112(x48301)+E(f329(f329(f239(x48301),x48302),x48302),x48302)
% 191.26/191.45 [4848]~P79(x48481)+E(f329(f329(f23(x48481),x48482),x48482),f2(x48481))
% 191.26/191.45 [4862]~P79(x48621)+E(f329(f81(x48621),f329(f81(x48621),x48622)),x48622)
% 191.26/191.45 [4863]~P98(x48631)+E(f329(f81(x48631),f329(f81(x48631),x48632)),x48632)
% 191.26/191.45 [4880]~E(x48802,f2(a908))+E(f329(f329(f249(a908),x48801),x48802),f329(a117,f2(a908)))
% 191.26/191.45 [4915]~P3(x49151)+E(f329(f329(f115(x49151),f191(x49151)),x49152),x49152)
% 191.26/191.45 [4916]~P4(x49161)+E(f329(f329(f82(x49161),f2(x49161)),x49162),x49162)
% 191.26/191.45 [4917]~P116(x49171)+E(f329(f329(f82(x49171),f2(x49171)),x49172),x49172)
% 191.26/191.45 [4918]~P5(x49181)+E(f329(f329(f82(x49181),f2(x49181)),x49182),x49182)
% 191.26/191.45 [4919]~P102(x49191)+E(f329(f329(f106(x49191),f247(x49191)),x49192),x49192)
% 191.26/191.45 [4920]~P116(x49201)+E(f329(f329(f83(x49201),f80(x49201)),x49202),x49202)
% 191.26/191.45 [4921]~P80(x49211)+E(f329(f329(f83(x49211),f80(x49211)),x49212),x49212)
% 191.26/191.45 [4922]~P88(x49221)+E(f329(f329(f83(x49221),f80(x49221)),x49222),x49222)
% 191.26/191.45 [4940]~P102(x49401)+E(f329(f329(f115(x49401),f247(x49401)),x49402),f247(x49401))
% 191.26/191.45 [4941]~P3(x49411)+E(f329(f329(f106(x49411),f191(x49411)),x49412),f191(x49411))
% 191.26/191.45 [4942]~P116(x49421)+E(f329(f329(f83(x49421),f2(x49421)),x49422),f2(x49421))
% 191.26/191.45 [4943]~P132(x49431)+E(f329(f329(f83(x49431),f2(x49431)),x49432),f2(x49431))
% 191.26/191.45 [4944]~P88(x49441)+E(f329(f329(f249(x49441),f80(x49441)),x49442),f80(x49441))
% 191.26/191.45 [4945]~P68(x49451)+E(f329(f329(f37(x49451),f2(x49451)),x49452),f2(x49451))
% 191.26/191.45 [4946]~P124(x49461)+E(f329(f329(f292(x49461),f2(x49461)),x49462),f2(x49461))
% 191.26/191.45 [4954]E(x49541,f118(x49542))+E(f147(x49542,f329(f171(x49542),x49541)),f329(f144(x49542),x49541))
% 191.26/191.45 [4955]E(x49551,f118(x49552))+E(f329(f144(x49552),f329(f171(x49552),x49551)),f147(x49552,x49551))
% 191.26/191.45 [4956]E(x49561,f2(a908))+~E(f329(f329(f82(a908),x49562),x49561),x49562)
% 191.26/191.45 [4963]~P97(x49631)+E(f329(f107(x49631),f329(f108(a1),x49632)),f329(f108(x49631),x49632))
% 191.26/191.45 [4964]~P120(x49641)+E(f329(f107(x49641),f329(f105(a1),x49642)),f329(f105(x49641),x49642))
% 191.26/191.45 [4971]E(x49711,f2(a908))+~E(f329(f329(f82(a908),x49712),x49711),f2(a908))
% 191.26/191.45 [4972]E(x49721,f2(a908))+~E(f329(f329(f82(a908),x49721),x49722),f2(a908))
% 191.26/191.45 [4973]E(x49731,f80(a908))+~E(f329(f329(f83(a908),x49732),x49731),f80(a908))
% 191.26/191.45 [4974]E(x49741,f80(a908))+~E(f329(f329(f83(a908),x49741),x49742),f80(a908))
% 191.26/191.45 [4991]~P89(x49911)+E(f329(f77(x49911),f329(f81(x49911),x49912)),f329(f77(x49911),x49912))
% 191.26/191.45 [4992]~P121(x49921)+E(f329(f77(x49921),f329(f105(x49921),x49922)),f329(f105(x49921),x49922))
% 191.26/191.45 [4993]~P89(x49931)+E(f329(f77(x49931),f329(f77(x49931),x49932)),f329(f77(x49931),x49932))
% 191.26/191.45 [4994]~P5(x49941)+E(f329(f168(x49941),f329(f171(x49941),x49942)),f329(f168(x49941),x49942))
% 191.26/191.45 [4999]~E(x49991,f329(a117,f2(a908)))+E(f329(f329(f249(a908),x49991),x49992),f329(a117,f2(a908)))
% 191.26/191.45 [5008]~P79(x50081)+E(f329(f329(f23(x50081),f2(x50081)),x50082),f329(f81(x50081),x50082))
% 191.26/191.45 [5009]~E(x50092,f2(a908))+E(f142(a908,f329(f304(a908,x50091),x50092)),f118(a908))
% 191.26/191.45 [5018]~P97(x50181)+E(f329(f329(f82(x50181),x50182),f329(f108(x50181),a85)),x50182)
% 191.26/191.45 [5019]E(x50191,f2(a1))+E(f48(f329(f77(a1),x50192),f329(f77(a1),x50191)),f54(x50192,x50191))
% 191.26/191.45 [5035]~E(x50351,x50352)+P1(f329(f329(f240(a908),x50351),x50352))
% 191.26/191.45 [5042]~E(x50421,f2(a104))+E(f329(f329(f82(a908),f329(a20,x50421)),x50422),x50422)
% 191.26/191.45 [5044]~P10(x50441)+E(f100(x50441,f329(f16(x50441,x50441),x50442)),x50442)
% 191.26/191.45 [5057]~P11(x50571)+P11(f329(f329(f249(a1),x50571),x50572))
% 191.26/191.45 [5058]~P98(x50581)+E(f329(f329(f115(x50581),x50582),f329(f81(x50581),x50582)),f247(x50581))
% 191.26/191.45 [5059]~P79(x50591)+E(f329(f329(f82(x50591),x50592),f329(f81(x50591),x50592)),f2(x50591))
% 191.26/191.45 [5060]~P98(x50601)+E(f329(f329(f106(x50601),x50602),f329(f81(x50601),x50602)),f191(x50601))
% 191.26/191.45 [5084]E(x50841,f2(a908))+~E(f329(f81(a1),f329(f105(a1),x50842)),f329(f105(a1),x50841))
% 191.26/191.45 [5085]E(x50851,f2(a908))+~E(f329(f81(a1),f329(f105(a1),x50851)),f329(f105(a1),x50852))
% 191.26/191.45 [5095]E(f198(x50951,x50952),f2(a1))+P1(f329(f329(f240(a1),x50952),x50951))
% 191.26/191.45 [5096]E(f181(x50961,x50962),f118(a1))+P1(f329(f329(f240(a1),x50961),x50962))
% 191.26/191.45 [5097]E(f246(x50971,x50972),f2(a104))+P1(f329(f329(f241(a104),x50971),x50972))
% 191.26/191.45 [5110]E(x51101,f329(a117,f2(a908)))+~E(f329(f329(f83(a908),x51102),x51101),f329(a117,f2(a908)))
% 191.26/191.45 [5111]E(x51111,f329(a117,f2(a908)))+~E(f329(f329(f83(a908),x51111),x51112),f329(a117,f2(a908)))
% 191.26/191.45 [5112]~P111(x51121)+P1(f329(f329(f240(x51121),x51122),x51122))
% 191.26/191.45 [5115]~P97(x51151)+E(f329(f329(f83(x51151),x51152),f329(f108(x51151),a102)),f329(f81(x51151),x51152))
% 191.26/191.45 [5135]~P97(x51351)+E(f329(f81(x51351),f329(f108(x51351),x51352)),f329(f108(x51351),f329(f81(a1),x51352)))
% 191.26/191.45 [5136]~P120(x51361)+E(f329(f81(x51361),f329(f107(x51361),x51362)),f329(f107(x51361),f329(f81(a1),x51362)))
% 191.26/191.45 [5165]~E(x51651,f329(a117,x51652))+P1(f329(f329(f241(a908),f2(a908)),x51651))
% 191.26/191.45 [5183]~P112(x51831)+E(f329(f81(f916(x51831,a903)),f329(f285(x51831),x51832)),f329(f286(x51831),x51832))
% 191.26/191.45 [5184]~P112(x51841)+E(f329(f81(f916(x51841,a903)),f329(f303(x51841),x51842)),f329(f306(x51841),x51842))
% 191.26/191.45 [5185]~P112(x51851)+E(f329(f81(f916(x51851,a903)),f329(f286(x51851),x51852)),f329(f285(x51851),x51852))
% 191.26/191.45 [5186]~P112(x51861)+E(f329(f81(f916(x51861,a903)),f329(f306(x51861),x51862)),f329(f303(x51861),x51862))
% 191.26/191.45 [5196]~E(f329(f105(a1),x51962),x51961)+P1(f329(f329(f240(a1),f2(a1)),x51961))
% 191.26/191.45 [5205]~E(x52052,f2(a1))+E(f54(x52051,x52052),f329(f329(f257(a1,a1),f2(a1)),f329(f77(a1),x52051)))
% 191.26/191.45 [5207]~P105(x52071)+P1(f329(f329(f240(x52071),f191(x52071)),x52072))
% 191.26/191.45 [5240]E(x52401,x52402)+~E(f329(f329(f82(a1),x52401),x52401),f329(f329(f82(a1),x52402),x52402))
% 191.26/191.45 [5246]~P1(f329(x52461,x52462))+P1(f329(x52461,f329(a109,f336(x52461))))
% 191.26/191.45 [5272]~P121(x52721)+E(f329(f329(f83(x52721),f84(x52721,x52722)),f329(f77(x52721),x52722)),x52722)
% 191.26/191.45 [5273]E(x52731,x52732)+~P1(f329(f329(f197(a25),x52731),x52732))
% 191.26/191.45 [5280]~E(x52802,f2(a908))+E(f87(f915(a908,a908),f49(x52801,x52802)),f329(f329(f257(a908,a908),f2(a908)),x52801))
% 191.26/191.45 [5285]~E(x52851,x52852)+~P1(f329(f329(f241(a908),x52851),x52852))
% 191.26/191.45 [5286]~E(x52861,x52862)+~P1(f329(f329(f241(a1),x52861),x52862))
% 191.26/191.45 [5289]~P109(x52891)+E(f329(f329(f82(x52891),f80(x52891)),f329(f105(x52891),x52892)),f329(f105(x52891),f329(a117,x52892)))
% 191.26/191.45 [5293]~E(x52931,f2(a908))+~P1(f329(f329(f241(a908),x52932),x52931))
% 191.26/191.45 [5307]E(f155(x53071,x53072),x53072)+~E(f329(f192(f909(x53071)),f155(x53071,x53072)),f329(f192(f909(x53071)),x53072))
% 191.26/191.45 [5308]E(f329(f36(x53081),f329(f175(x53081),x53082)),f329(f192(f909(x53081)),x53082))+~P1(f329(f140(x53081),x53082))
% 191.26/191.45 [5322]~P1(f329(x53221,f342(x53221)))+P1(f329(x53221,f329(f105(a1),x53222)))
% 191.26/191.45 [5332]E(f246(x53321,x53322),x53322)+~P1(f329(f329(f241(a104),x53321),x53322))
% 191.26/191.45 [5334]E(f275(x53341,x53342),f80(a104))+~P1(f329(f329(f241(a104),x53342),x53341))
% 191.26/191.45 [5335]E(f181(x53351,x53352),f118(a1))+~P1(f329(f329(f241(a1),x53352),x53351))
% 191.26/191.45 [5336]E(f132(x53361,x53362),f120(a1))+~P1(f329(f329(f241(a1),x53361),x53362))
% 191.26/191.45 [5338]~P114(x53381)+E(f305(x53381,x53382,x53382),f329(f329(f311(x53381),x53382),f191(f916(x53381,a903))))
% 191.26/191.45 [5358]~E(f329(f329(f23(a908),x53581),x53582),f2(a908))+P1(f329(f329(f240(a908),x53581),x53582))
% 191.26/191.45 [5381]~E(x53812,f2(a908))+E(f56(x53811,x53812,f118(x53811)),f329(f329(f154(f909(x53811)),f118(x53811)),f118(f909(x53811))))
% 191.26/191.45 [5385]~P111(x53851)+~P1(f329(f329(f241(x53851),x53852),x53852))
% 191.26/191.45 [5387]~E(f46(a1,x53871,x53872),f2(a1))+E(f46(a1,x53871,f329(f81(a1),x53872)),f2(a1))
% 191.26/191.45 [5389]~E(f46(a1,x53891,x53892),f2(a1))+E(f46(a1,f329(f81(a1),x53891),x53892),f2(a1))
% 191.26/191.45 [5397]E(f329(f304(a908,x53971),f329(a117,x53972)),f191(f916(a908,a903)))+P1(f329(f329(f240(a908),x53971),x53972))
% 191.26/191.45 [5420]E(f142(a908,f329(f304(a908,x54201),x54202)),f118(a908))+P1(f329(f329(f241(a908),x54201),x54202))
% 191.26/191.45 [5425]~E(f329(f36(x54251),f329(f175(x54251),x54252)),f329(f192(f909(x54251)),x54252))+P1(f329(f140(x54251),x54252))
% 191.26/191.45 [5429]~P1(f329(f140(x54291),x54292))+P1(f329(f140(x54291),f329(f170(x54291),x54292)))
% 191.26/191.45 [5430]~P1(f329(f140(x54301),x54302))+P1(f329(f140(x54301),f329(f174(x54301),x54302)))
% 191.26/191.45 [5431]~P1(f329(f140(x54311),x54312))+P1(f329(f140(x54311),f329(f171(x54311),x54312)))
% 191.26/191.45 [5439]P1(f329(x54391,x54392))+~P1(f329(x54391,f329(a109,f337(x54391))))
% 191.26/191.45 [5440]P1(f329(f329(f240(a908),x54402),x54401))+P1(f329(f329(f240(a908),x54401),x54402))
% 191.26/191.45 [5441]P1(f329(f329(f240(a1),x54412),x54411))+P1(f329(f329(f240(a1),x54411),x54412))
% 191.26/191.45 [5445]~P89(x54451)+P1(f329(f329(f240(x54451),x54452),f329(f77(x54451),x54452)))
% 191.26/191.45 [5448]P1(f329(x54481,f346(x54481)))+~P1(f329(x54481,f329(f105(a1),x54482)))
% 191.26/191.45 [5472]E(f329(f329(f23(a908),x54721),x54722),f2(a908))+~P1(f329(f329(f240(a908),x54721),x54722))
% 191.26/191.45 [5473]E(f329(f329(f37(a908),x54731),x54732),f2(a908))+~P1(f329(f329(f241(a908),x54731),x54732))
% 191.26/191.45 [5491]E(f46(a908,x54911,x54912),x54911)+~P1(f329(f329(f241(a908),x54911),x54912))
% 191.26/191.45 [5499]E(f46(a1,x54991,f329(f81(a1),x54992)),f293(x54991,x54992))+P1(f329(f329(f240(a1),f2(a1)),x54992))
% 191.26/191.45 [5511]E(f329(f329(f23(a1),x55111),x55112),f198(x55111,x55112))+~P1(f329(f329(f240(a1),x55112),x55111))
% 191.26/191.45 [5529]P1(f329(f329(f240(a1),f2(a1)),f342(x55291)))+P1(f329(x55291,f329(f105(a1),x55292)))
% 191.26/191.45 [5542]~P127(x55421)+P1(f329(f329(f240(x55421),f2(x55421)),f329(f105(x55421),x55422)))
% 191.26/191.45 [5543]~P89(x55431)+P1(f329(f329(f240(x55431),f2(x55431)),f329(f77(x55431),x55432)))
% 191.26/191.45 [5570]E(f329(f329(f82(a908),x55701),f697(x55702,x55701)),x55702)+~P1(f329(f329(f240(a908),x55701),x55702))
% 191.26/191.45 [5585]E(f305(a1,x55851,x55852),f191(f916(a1,a903)))+~P1(f329(f329(f241(a1),x55852),x55851))
% 191.26/191.45 [5588]~P121(x55881)+E(f329(f329(f83(x55881),f329(f77(x55881),x55882)),f329(f77(x55881),x55882)),f329(f329(f83(x55881),x55882),x55882))
% 191.26/191.45 [5593]E(f142(a908,f329(f304(a908,x55931),f329(a117,x55932))),f118(a908))+P1(f329(f329(f240(a908),x55931),x55932))
% 191.26/191.45 [5597]E(f329(f329(f37(a1),x55971),x55972),f294(x55971,x55972))+~P1(f329(f329(f240(a1),f2(a1)),x55972))
% 191.26/191.45 [5617]P1(f329(f140(x56171),x56172))+~P1(f329(f140(x56171),f329(f170(x56171),x56172)))
% 191.26/191.45 [5618]P1(f329(f140(x56181),x56182))+~P1(f329(f140(x56181),f329(f171(x56181),x56182)))
% 191.26/191.45 [5643]P1(f329(f62(a908),x56431))+P1(f329(f329(f331(a908),f862(x56431,x56432)),x56431))
% 191.26/191.45 [5644]P1(f329(f62(a908),x56441))+P1(f329(f329(f331(a908),f865(x56441,x56442)),x56441))
% 191.26/191.45 [5647]P1(f329(f329(f241(a908),x56472),f329(a117,x56471)))+P1(f329(f329(f241(a908),x56471),x56472))
% 191.26/191.45 [5648]E(f46(a1,x56481,x56482),f293(x56481,x56482))+~P1(f329(f329(f240(a1),f2(a1)),x56482))
% 191.26/191.45 [5651]E(f142(a908,f329(f304(a908,x56511),x56512)),f118(a908))+~P1(f329(f329(f240(a908),x56512),x56511))
% 191.26/191.45 [5652]~P86(x56521)+E(f329(f312(x56521,x56521,f81(x56521)),f329(f285(x56521),x56522)),f329(f306(x56521),f329(f81(x56521),x56522)))
% 191.26/191.45 [5653]~P86(x56531)+E(f329(f312(x56531,x56531,f81(x56531)),f329(f303(x56531),x56532)),f329(f286(x56531),f329(f81(x56531),x56532)))
% 191.26/191.45 [5654]~P86(x56541)+E(f329(f312(x56541,x56541,f81(x56541)),f329(f286(x56541),x56542)),f329(f303(x56541),f329(f81(x56541),x56542)))
% 191.26/191.45 [5655]~P86(x56551)+E(f329(f312(x56551,x56551,f81(x56551)),f329(f306(x56551),x56552)),f329(f285(x56551),f329(f81(x56551),x56552)))
% 191.26/191.45 [5666]E(x56661,f191(f916(x56662,a903)))+P1(f329(f329(f331(x56662),f393(x56661,x56662)),x56661))
% 191.26/191.45 [5667]E(x56671,f191(f916(x56672,a903)))+P1(f329(f329(f331(x56672),f401(x56671,x56672)),x56671))
% 191.26/191.45 [5678]~P1(f329(f329(f241(a908),x56781),x56782))+P1(f329(f329(f240(a908),x56781),x56782))
% 191.26/191.45 [5679]~P1(f329(f329(f241(a1),x56791),x56792))+P1(f329(f329(f240(a1),x56791),x56792))
% 191.26/191.45 [5695]E(f48(x56951,x56952),f329(f329(f257(a1,a1),f2(a1)),x56951))+~P1(f329(f329(f241(a1),x56951),x56952))
% 191.26/191.45 [5697]E(f219(f329(f81(a1),x56971),f329(f81(a1),x56972)),f219(x56971,x56972))+~P1(f329(f329(f241(a1),x56972),f2(a1)))
% 191.26/191.45 [5709]E(x57091,x57092)+~E(f329(a3,f329(a117,f329(a20,x57091))),f329(a3,f329(a117,f329(a20,x57092))))
% 191.26/191.45 [5714]E(f48(x57141,x57142),f329(f329(f257(a1,a1),f2(a1)),x57141))+~P1(f329(f329(f240(a1),x57142),f2(a1)))
% 191.26/191.45 [5743]E(f46(a908,f329(f108(a908),x57431),f329(f108(a908),x57432)),f2(a908))+~P1(f329(a196,f329(f108(a1),x57431)))
% 191.26/191.45 [5758]P1(f329(f329(f240(a1),f2(a1)),f346(x57581)))+~P1(f329(x57581,f329(f105(a1),x57582)))
% 191.26/191.45 [5791]P47(f305(a1,x57911,x57912))+~P1(f329(f329(f240(a1),f2(a1)),x57911))
% 191.26/191.45 [5796]~P1(f329(f62(x57961),x57962))+P1(f329(f62(f916(x57961,a903)),f329(f310(x57961),x57962)))
% 191.26/191.45 [5809]E(f329(f329(f82(a1),x58091),f329(f105(a1),f350(x58092,x58091))),x58092)+~P1(f329(f329(f240(a1),x58091),x58092))
% 191.26/191.45 [5817]P1(f329(f329(f240(a908),x58171),x58172))+P1(f329(f329(f240(a908),f329(a117,x58172)),x58171))
% 191.26/191.45 [5860]E(f329(f329(f37(a908),f329(f108(a908),x58601)),f329(f108(a908),x58602)),f2(a908))+~P1(f329(a196,f329(f108(a1),x58601)))
% 191.26/191.45 [5861]E(f329(f329(f83(a908),f329(f108(a908),x58611)),f329(f108(a908),x58612)),f2(a908))+~P1(f329(f329(f241(a1),x58611),a85))
% 191.26/191.45 [5863]P1(f329(f329(f240(a908),x58631),f329(a117,x58632)))+~P1(f329(f329(f240(a908),x58631),x58632))
% 191.26/191.45 [5865]P1(f329(f329(f241(a908),x58651),f329(a117,x58652)))+~P1(f329(f329(f240(a908),x58651),x58652))
% 191.26/191.45 [5867]P1(f329(f329(f241(a908),x58671),f329(a117,x58672)))+~P1(f329(f329(f241(a908),x58671),x58672))
% 191.26/191.45 [5870]~E(x58701,x58702)+P1(f329(f329(f241(a1),x58701),f329(f329(f82(a1),x58702),f80(a1))))
% 191.26/191.45 [5873]E(f46(a1,x58731,x58732),f2(a1))+E(f329(f329(f23(a1),x58732),f46(a1,x58731,x58732)),f46(a1,f329(f81(a1),x58731),x58732))
% 191.26/191.45 [5882]E(x58821,f118(x58822))+P1(f329(f329(f331(x58822),f147(x58822,x58821)),f329(f175(x58822),x58821)))
% 191.26/191.45 [5894]E(f87(f915(a908,a908),f49(x58941,x58942)),f329(f329(f257(a908,a908),f2(a908)),x58941))+~P1(f329(f329(f241(a908),x58941),x58942))
% 191.26/191.45 [5928]E(f329(f329(f82(a908),f329(f108(a908),x59281)),f329(f108(a908),x59282)),f329(f108(a908),x59282))+~P1(f329(f329(f241(a1),x59281),a85))
% 191.26/191.45 [5929]E(f329(f329(f23(a908),f329(f108(a908),x59291)),f329(f108(a908),x59292)),f329(f108(a908),x59291))+~P1(f329(f329(f241(a1),x59292),a85))
% 191.26/191.45 [5936]E(f329(a117,f329(f329(f82(a908),x59361),f866(x59362,x59361))),x59362)+~P1(f329(f329(f241(a908),x59361),x59362))
% 191.26/191.45 [5963]P1(f329(x59631,x59632))+~P1(f329(x59631,f329(a91,f567(x59632,x59631))))
% 191.26/191.45 [5964]P1(f329(x59641,x59642))+~P1(f329(x59641,f329(a3,f842(x59642,x59641))))
% 191.26/191.45 [5972]~P1(f329(f329(f241(a908),x59721),f329(a117,x59722)))+P1(f329(f329(f240(a908),x59721),x59722))
% 191.26/191.45 [6018]E(f329(f329(f311(a908),x60181),f329(f304(a908,x60182),x60181)),f329(f304(a908,x60182),f329(a117,x60181)))+~P1(f329(f329(f240(a908),x60182),x60181))
% 191.26/191.45 [6020]E(x60201,f118(x60202))+E(f329(f329(f137(x60202),f119(x60202,x60201)),f329(f329(f154(x60202),f147(x60202,x60201)),f118(x60202))),x60201)
% 191.26/191.45 [6037]P1(f329(f62(x60371),x60372))+~P1(f329(f329(f241(a908),f2(a908)),f329(f36(x60371),x60372)))
% 191.26/191.45 [6039]~E(x60391,f191(f916(x60392,a903)))+~P1(f329(f329(f241(a908),f2(a908)),f329(f36(x60392),x60391)))
% 191.26/191.45 [6051]~P1(f329(f329(f241(a908),x60511),x60512))+P1(f329(f329(f240(a908),f329(a117,x60511)),x60512))
% 191.26/191.45 [6056]~P112(x60561)+E(f153(x60561,x60561,f5(x60561),f155(x60561,x60562)),f142(x60561,f329(f175(x60561),x60562)))
% 191.26/191.45 [6059]E(x60591,f118(x60592))+P1(f329(f329(f331(x60592),f329(f144(x60592),x60591)),f329(f175(x60592),x60591)))
% 191.26/191.45 [6065]~P127(x60651)+P1(f329(f329(f241(x60651),x60652),f329(f329(f82(x60651),x60652),f80(x60651))))
% 191.26/191.45 [6067]~P89(x60671)+P1(f329(f329(f240(x60671),f329(f81(x60671),x60672)),f329(f77(x60671),x60672)))
% 191.26/191.45 [6101]P1(f329(f62(a908),x61011))+~P1(f329(f329(f240(a908),f865(x61011,x61012)),x61012))
% 191.26/191.45 [6102]P1(f329(f62(a908),x61021))+~P1(f329(f329(f241(a908),f862(x61021,x61022)),x61022))
% 191.26/191.45 [6106]~P1(f329(f62(f915(x61061,x61061)),x61062))+P1(f329(f62(x61061),f329(f284(x61061),x61062)))
% 191.26/191.45 [6164]~P1(f329(f329(f241(a908),x61642),f329(a117,x61641)))+~P1(f329(f329(f241(a908),x61641),x61642))
% 191.26/191.45 [6165]~P114(x61651)+E(f329(f329(f106(f916(x61651,a903)),f329(f303(x61651),x61652)),f329(f286(x61651),x61652)),f329(f329(f311(x61651),x61652),f191(f916(x61651,a903))))
% 191.26/191.45 [6177]P1(f329(f62(x61771),x61772))+~P1(f329(f62(f916(x61771,a903)),f329(f310(x61771),x61772)))
% 191.26/191.45 [6200]P1(f329(f329(f240(a908),f329(a117,x62001)),f329(a117,x62002)))+~P1(f329(f329(f240(a908),x62001),x62002))
% 191.26/191.45 [6201]P1(f329(f329(f240(a908),f329(a20,x62011)),f329(a20,x62012)))+~P1(f329(f329(f240(a104),x62011),x62012))
% 191.26/191.45 [6202]P1(f329(f329(f240(a104),f329(a3,x62021)),f329(a3,x62022)))+~P1(f329(f329(f240(a908),x62021),x62022))
% 191.26/191.45 [6204]P1(f329(f329(f241(a908),f329(a117,x62041)),f329(a117,x62042)))+~P1(f329(f329(f241(a908),x62041),x62042))
% 191.26/191.45 [6205]P1(f329(f329(f241(a908),f329(a20,x62051)),f329(a20,x62052)))+~P1(f329(f329(f241(a104),x62051),x62052))
% 191.26/191.45 [6206]P1(f329(f329(f241(a104),f329(a3,x62061)),f329(a3,x62062)))+~P1(f329(f329(f241(a908),x62061),x62062))
% 191.26/191.45 [6211]E(x62111,x62112)+~E(f329(f312(a908,a1,f105(a1)),x62111),f329(f312(a908,a1,f105(a1)),x62112))
% 191.26/191.45 [6227]P1(f329(f329(f240(a908),x62271),x62272))+~P1(f329(f329(f240(a908),f329(a117,x62271)),x62272))
% 191.26/191.45 [6230]P1(f329(f329(f241(a908),x62301),x62302))+~P1(f329(f329(f240(a908),f329(a117,x62301)),x62302))
% 191.26/191.45 [6231]P1(f329(f329(f241(a908),x62311),x62312))+~P1(f329(f329(f241(a908),f329(a117,x62311)),x62312))
% 191.26/191.45 [6249]E(f46(a1,x62491,x62492),f2(a1))+E(f329(f329(f23(a1),f46(a1,x62491,x62492)),x62492),f46(a1,x62491,f329(f81(a1),x62492)))
% 191.26/191.45 [6314]E(f329(f36(f916(x63141,a903)),f329(f310(x63141),x63142)),f329(f329(f249(a908),f329(a117,f329(a117,f2(a908)))),f329(f36(x63141),x63142)))+~P1(f329(f62(x63141),x63142))
% 191.26/191.45 [6317]E(x63171,f118(x63172))+E(f329(f329(f167(x63172),x63171),f329(f329(f23(a908),f329(f192(f909(x63172)),x63171)),f80(a908))),f147(x63172,x63171))
% 191.26/191.45 [6339]E(x63391,f118(x63392))+E(f329(f329(f137(x63392),f329(f174(x63392),x63391)),f329(f329(f154(x63392),f329(f144(x63392),x63391)),f118(x63392))),f329(f170(x63392),x63391))
% 191.26/191.45 [6369]~P1(f329(f62(x63691),f38(f916(x63691,a903),x63692)))+P1(f329(f62(f916(x63691,a903)),x63692))
% 191.26/191.45 [6391]P1(f329(f329(f240(a908),f329(f108(a908),x63911)),f329(f108(a908),x63912)))+~P1(f329(f329(f240(a1),x63911),a85))
% 191.26/191.45 [6411]~P1(f329(f329(f241(a1),x64111),x64112))+P1(f329(f329(f240(a1),x64111),f329(f329(f23(a1),x64112),f80(a1))))
% 191.26/191.45 [6412]~P1(f329(f329(f240(a1),x64121),x64122))+P1(f329(f329(f241(a1),x64121),f329(f329(f82(a1),x64122),f80(a1))))
% 191.26/191.45 [6413]~P1(f329(f329(f241(a1),x64131),x64132))+P1(f329(f329(f241(a1),x64131),f329(f329(f82(a1),x64132),f80(a1))))
% 191.26/191.45 [6415]~P1(f329(f329(f240(a1),x64151),x64152))+P1(f329(f329(f240(a908),f329(f108(a908),x64151)),f329(f108(a908),x64152)))
% 191.26/191.45 [6416]~P1(f329(f329(f240(a1),x64161),x64162))+P1(f329(f329(f240(a1),f329(f108(a1),x64161)),f329(f108(a1),x64162)))
% 191.26/191.45 [6418]~P1(f329(f329(f240(a908),x64181),x64182))+P1(f329(f329(f240(a1),f329(f105(a1),x64181)),f329(f105(a1),x64182)))
% 191.26/191.45 [6419]~P1(f329(f329(f241(a1),x64191),x64192))+P1(f329(f329(f241(a1),f329(f108(a1),x64191)),f329(f108(a1),x64192)))
% 191.26/191.45 [6421]~P1(f329(f329(f241(a908),x64211),x64212))+P1(f329(f329(f241(a1),f329(f105(a1),x64211)),f329(f105(a1),x64212)))
% 191.26/191.45 [6440]~P1(f329(f329(f240(a908),x64401),x64402))+~P1(f329(f329(f240(a908),f329(a117,x64402)),x64401))
% 191.26/191.45 [6483]~P1(f329(f329(f240(a908),f329(a117,x64831)),f329(a117,x64832)))+P1(f329(f329(f240(a908),x64831),x64832))
% 191.26/191.45 [6484]~P1(f329(f329(f240(a104),f329(a3,x64841)),f329(a3,x64842)))+P1(f329(f329(f240(a908),x64841),x64842))
% 191.26/191.45 [6485]~P1(f329(f329(f240(a908),f329(a20,x64851)),f329(a20,x64852)))+P1(f329(f329(f240(a104),x64851),x64852))
% 191.26/191.45 [6487]~P1(f329(f329(f241(a908),f329(a117,x64871)),f329(a117,x64872)))+P1(f329(f329(f241(a908),x64871),x64872))
% 191.26/191.45 [6488]~P1(f329(f329(f241(a104),f329(a3,x64881)),f329(a3,x64882)))+P1(f329(f329(f241(a908),x64881),x64882))
% 191.26/191.45 [6489]~P1(f329(f329(f241(a908),f329(a109,x64891)),f329(a109,x64892)))+P1(f329(f329(f241(a1),x64891),x64892))
% 191.26/191.45 [6490]~P1(f329(f329(f241(a908),f329(a20,x64901)),f329(a20,x64902)))+P1(f329(f329(f241(a104),x64901),x64902))
% 191.26/191.45 [6533]~P1(f329(f329(f241(a908),f329(a109,x65332)),f329(a109,x65331)))+P1(f329(f329(f241(a1),f2(a1)),x65331))
% 191.26/191.45 [6565]P1(f329(f329(f240(a1),f2(a1)),f46(a1,x65651,x65652)))+~P1(f329(f329(f241(a1),f2(a1)),x65652))
% 191.26/191.45 [6726]P43(x67261,x67262)+~E(f329(f329(f291(x67261,x67261,x67261),x67262),x67262),f191(f916(f915(x67261,x67261),a903)))
% 191.26/191.45 [6738]~P43(x67381,x67382)+P43(x67381,f329(f329(f291(x67381,x67381,x67381),x67382),x67382))
% 191.26/191.45 [6749]P1(f329(f329(f240(a1),x67491),x67492))+~P1(f329(f329(f241(a1),x67491),f329(f329(f82(a1),x67492),f80(a1))))
% 191.26/191.45 [6750]P1(f329(f329(f241(a1),x67501),x67502))+~P1(f329(f329(f240(a1),x67501),f329(f329(f23(a1),x67502),f80(a1))))
% 191.26/191.45 [6753]P1(f329(f329(f240(a908),x67531),x67532))+~P1(f329(f329(f240(a1),f329(f105(a1),x67531)),f329(f105(a1),x67532)))
% 191.26/191.45 [6754]P1(f329(f329(f240(a1),x67541),x67542))+~P1(f329(f329(f240(a1),f329(f108(a1),x67541)),f329(f108(a1),x67542)))
% 191.26/191.45 [6756]P1(f329(f329(f241(a908),x67561),x67562))+~P1(f329(f329(f241(a1),f329(f105(a1),x67561)),f329(f105(a1),x67562)))
% 191.26/191.45 [6757]P1(f329(f329(f241(a1),x67571),x67572))+~P1(f329(f329(f241(a908),f329(f108(a908),x67571)),f329(f108(a908),x67572)))
% 191.26/191.45 [6758]P1(f329(f329(f241(a1),x67581),x67582))+~P1(f329(f329(f241(a1),f329(f108(a1),x67581)),f329(f108(a1),x67582)))
% 191.26/191.45 [6852]~E(f724(x68522,x68521),f118(x68521))+E(f329(f145(f909(x68521),f909(x68521),f137(x68521),f118(x68521)),x68522),f118(x68521))
% 191.26/191.45 [6853]~E(f725(x68532,x68531),f118(x68531))+E(f329(f145(f909(x68531),f909(x68531),f137(x68531),f118(x68531)),x68532),f118(x68531))
% 191.26/191.45 [6858]~P10(x68581)+E(f329(f145(x68581,x68581,f106(x68581),f247(x68581)),x68582),f39(x68581,f329(f175(x68581),x68582)))
% 191.26/191.45 [6859]~P10(x68591)+E(f329(f145(x68591,x68591,f115(x68591),f191(x68591)),x68592),f38(x68591,f329(f175(x68591),x68592)))
% 191.26/191.45 [6873]E(x68731,f2(a104))+E(f329(f329(f82(a908),f329(a20,f329(f329(f23(a104),x68731),f80(a104)))),f329(a117,x68732)),f329(f329(f82(a908),f329(a20,x68731)),x68732))
% 191.26/191.45 [6922]P1(f329(f329(f241(a1),f329(f329(f23(a1),x69221),x69222)),f2(a1)))+~P1(f329(f329(f241(a1),x69221),x69222))
% 191.26/191.45 [6947]~P112(x69471)+E(f329(f329(f115(f916(x69471,a903)),f329(f329(f311(x69471),x69472),f191(f916(x69471,a903)))),f329(f306(x69471),x69472)),f329(f286(x69471),x69472))
% 191.26/191.45 [7020]~P67(x70201,x70202)+P43(x70201,f329(f267(f915(x70201,x70201)),f329(f262(x70201,x70201,a903),x70202)))
% 191.26/191.45 [7021]~P67(x70211,x70212)+P65(x70211,f329(f267(f915(x70211,x70211)),f329(f262(x70211,x70211,a903),x70212)))
% 191.26/191.45 [7022]~P57(x70221,x70222)+P44(x70221,f329(f267(f915(x70221,x70221)),f329(f262(x70221,x70221,a903),x70222)))
% 191.26/191.45 [7023]~P58(x70231,x70232)+P59(x70231,f329(f267(f915(x70231,x70231)),f329(f262(x70231,x70231,a903),x70232)))
% 191.26/191.45 [7024]E(x70241,f191(f916(x70242,a903)))+~P1(f329(f329(f240(f916(x70242,a903)),x70241),f191(f916(x70242,a903))))
% 191.26/191.45 [7106]~P1(f329(f329(f241(a908),f2(a908)),x71062))+P1(f329(f329(f240(a908),f46(a908,x71061,x71062)),x71062))
% 191.26/191.45 [7107]~P1(f329(f329(f240(a1),f2(a1)),x71071))+P1(f329(f329(f240(a1),f46(a1,x71071,x71072)),x71071))
% 191.26/191.45 [7108]~P1(f329(f329(f241(a908),f2(a908)),x71082))+P1(f329(f329(f241(a908),f46(a908,x71081,x71082)),x71082))
% 191.26/191.45 [7110]~P1(f329(f329(f241(a1),f2(a1)),x71102))+P1(f329(f329(f241(a1),f46(a1,x71101,x71102)),x71102))
% 191.26/191.45 [7186]~P114(x71861)+E(f329(f329(f23(f916(x71861,a903)),f329(f329(f311(x71861),x71862),f191(f916(x71861,a903)))),f329(f285(x71861),x71862)),f329(f329(f311(x71861),x71862),f191(f916(x71861,a903))))
% 191.26/191.45 [7259]~P56(x72591,x72592)+P60(x72591,f247(f916(x72591,a903)),f329(f267(f915(x72591,x72591)),f329(f262(x72591,x72591,a903),x72592)))
% 191.26/191.45 [7260]P1(f329(x72601,x72602))+P1(f329(f329(f331(f916(f915(a908,a908),a903)),f567(x72602,x72601)),a103))
% 191.26/191.45 [7305]E(f329(f329(f137(a908),f142(a908,f329(f304(a908,x73051),x73052))),f329(f329(f154(a908),x73052),f118(a908))),f142(a908,f329(f304(a908,x73051),f329(a117,x73052))))+~P1(f329(f329(f240(a908),x73051),x73052))
% 191.26/191.45 [7461]E(x74611,f2(a908))+~E(f329(f145(a908,a908,f82(a908),x74611),x74612),f2(a908))
% 191.26/191.45 [7487]~P1(f329(f329(f241(a1),f329(f329(f23(a1),x74871),x74872)),f2(a1)))+P1(f329(f329(f241(a1),x74871),x74872))
% 191.26/191.45 [7514]P43(x75141,x75142)+~P43(x75141,f329(f329(f291(x75141,x75141,x75141),x75142),x75142))
% 191.26/191.45 [7543]~P1(f329(f329(f240(a908),f329(a117,x75431)),x75432))+P1(f188(a903,a237,f329(f240(a908),x75431),x75432))
% 191.26/191.45 [7699]P30(a908,a908,f329(f329(f7(a908,a908,a908),f23(a908)),x76991),x76992)+P1(f329(f329(f331(a908),f874(x76991,x76992)),x76992))
% 191.26/191.45 [7756]E(f329(f329(f329(f66(a908,x77561,f82(a908)),f329(f16(a908,x77561),f80(a908))),f2(a908)),x77562),f329(f36(x77561),x77562))+~P1(f329(f62(x77561),x77562))
% 191.26/191.45 [7798]P30(a908,a908,f329(f329(f7(a908,a908,a908),f23(a908)),x77981),x77982)+~P1(f329(f329(f240(a908),x77981),f874(x77981,x77982)))
% 191.26/191.45 [7854]P43(x78541,x78542)+P1(f329(f329(f240(f916(x78541,a903)),f565(x78542,x78541)),f329(f288(x78541,x78541,x78542),f565(x78542,x78541))))
% 191.26/191.45 [7859]P67(x78591,x78592)+~P43(x78591,f329(f267(f915(x78591,x78591)),f329(f262(x78591,x78591,a903),x78592)))
% 191.26/191.45 [7860]P57(x78601,x78602)+~P44(x78601,f329(f267(f915(x78601,x78601)),f329(f262(x78601,x78601,a903),x78602)))
% 191.26/191.45 [7861]P58(x78611,x78612)+~P59(x78611,f329(f267(f915(x78611,x78611)),f329(f262(x78611,x78611,a903),x78612)))
% 191.26/191.45 [7936]P1(f329(f329(f240(a908),f329(a117,x79361)),x79362))+~P1(f188(a903,a237,f329(f240(a908),x79361),x79362))
% 191.26/191.45 [7992]P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),x79921),x79922)),f309(a908,a319)))+~P1(f329(f329(f240(a908),x79921),x79922))
% 191.26/191.45 [8089]P56(x80891,x80892)+~P60(x80891,f247(f916(x80891,a903)),f329(f267(f915(x80891,x80891)),f329(f262(x80891,x80891,a903),x80892)))
% 191.26/191.45 [8152]~P1(f329(f140(x81521),x81522))+P1(f329(f140(f916(x81521,a903)),f329(f329(f157(f909(x81521),f916(x81521,a903)),f175(x81521)),f55(x81521,x81522))))
% 191.26/191.45 [8354]~P43(x83541,f329(f289(x83541,x83541),x83542))+P43(x83541,f329(f289(x83541,x83541),f329(f329(f291(x83541,x83541,x83541),x83542),f309(x83541,x83542))))
% 191.26/191.45 [8480]P1(f329(f62(f915(x84801,x84801)),f329(f329(f291(x84801,x84801,x84801),x84802),f309(x84801,x84802))))+~P1(f329(f62(f915(x84801,x84801)),x84802))
% 191.26/191.45 [8508]E(x85081,f2(a1))+P1(f329(f50(x85082,x85081),f329(f329(f257(a1,a1),f329(f329(f37(a1),x85082),x85081)),f46(a1,x85082,x85081))))
% 191.26/191.45 [8521]~P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),x85211),x85212)),f309(a908,a319)))+P1(f329(f329(f240(a908),x85211),x85212))
% 191.26/191.45 [8539]~P4(x85391)+E(f329(f145(x85391,x85391,f329(f7(x85391,x85391,x85391),f82(x85391)),f2(x85391)),f329(f171(x85391),x85392)),f329(f145(x85391,x85391,f82(x85391),f2(x85391)),x85392))
% 191.26/191.45 [8721]~P112(x87211)+E(f329(f145(f909(x87211),x87211,f329(f7(x87211,f909(x87211),f909(x87211)),f151(x87211,x87211,f5(x87211))),f118(x87211)),x87212),f153(x87211,x87211,f5(x87211),x87212))
% 191.26/191.45 [8823]~P65(x88231,f329(f267(f915(x88231,x88231)),f329(f262(x88231,x88231,a903),x88232)))+P65(x88231,f329(f267(f915(x88231,x88231)),f329(f262(x88231,x88231,a903),f248(x88231,x88231,x88232))))
% 191.26/191.45 [8837]P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),x88371),x88372)),f329(f329(f291(a908,a908,a908),a319),f309(a908,a319))))+~P1(f329(f329(f241(a908),x88371),x88372))
% 191.26/191.45 [8879]~P1(f329(f62(f915(x88791,x88791)),f329(f329(f291(x88791,x88791,x88791),x88792),f309(x88791,x88792))))+P1(f329(f62(f915(x88791,x88791)),x88792))
% 191.26/191.45 [8933]~P65(x89331,f329(f267(f915(x89331,x89331)),f329(f262(x89331,x89331,a903),f248(x89331,x89331,x89332))))+P65(x89331,f329(f267(f915(x89331,x89331)),f329(f262(x89331,x89331,a903),x89332)))
% 191.26/191.45 [9135]P65(x91351,x91352)+P1(f329(f329(f331(f915(x91351,x91351)),f329(f329(f257(x91351,x91351),f593(x91352,x91351)),f593(x91352,x91351))),f329(f329(f291(x91351,x91351,x91351),x91352),f309(x91351,x91352))))
% 191.26/191.45 [9136]P65(x91361,x91362)+P1(f329(f329(f331(f915(x91361,x91361)),f329(f329(f257(x91361,x91361),f601(x91362,x91361)),f601(x91362,x91361))),f329(f329(f291(x91361,x91361,x91361),x91362),f309(x91361,x91362))))
% 191.26/191.45 [9255]~P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),x92551),x92552)),f329(f329(f291(a908,a908,a908),a319),f309(a908,a319))))+P1(f329(f329(f241(a908),x92551),x92552))
% 191.26/191.45 [5179]~P97(x51791)+E(f329(f329(f82(x51791),f329(f108(x51791),a85)),x51792),x51792)
% 191.26/191.45 [5212]~P98(x52121)+E(f329(f329(f115(x52121),f329(f81(x52121),x52122)),x52122),f247(x52121))
% 191.26/191.45 [5213]~P75(x52131)+E(f329(f329(f82(x52131),f329(f81(x52131),x52132)),x52132),f2(x52131))
% 191.26/191.45 [5214]~P79(x52141)+E(f329(f329(f82(x52141),f329(f81(x52141),x52142)),x52142),f2(x52141))
% 191.26/191.45 [5215]~P98(x52151)+E(f329(f329(f106(x52151),f329(f81(x52151),x52152)),x52152),f191(x52151))
% 191.26/191.45 [5250]~P97(x52501)+E(f329(f329(f83(x52501),f329(f108(x52501),a102)),x52502),f329(f81(x52501),x52502))
% 191.26/191.45 [5412]~P119(x54121)+E(f329(f329(f83(x54121),f329(f81(x54121),f80(x54121))),x54122),f329(f81(x54121),x54122))
% 191.26/191.45 [5457]E(f329(f77(a1),x54571),f80(a1))+~E(f329(f77(a1),f329(f329(f83(a1),x54571),x54572)),f80(a1))
% 191.26/191.45 [5545]~P97(x55451)+E(f329(f329(f82(x55451),f80(x55451)),f329(f108(x55451),x55452)),f329(f108(x55451),f329(f329(f23(a1),x55452),a102)))
% 191.26/191.45 [5598]~P2(x55981)+E(f10(x55981,f329(f329(f311(x55981),x55982),f191(f916(x55981,a903)))),x55982)
% 191.26/191.45 [5599]~P2(x55991)+E(f13(x55991,f329(f329(f311(x55991),x55992),f191(f916(x55991,a903)))),x55992)
% 191.26/191.45 [5600]~P112(x56001)+E(f14(x56001,f329(f329(f311(x56001),x56002),f191(f916(x56001,a903)))),x56002)
% 191.26/191.45 [5601]~P112(x56011)+E(f15(x56011,f329(f329(f311(x56011),x56012),f191(f916(x56011,a903)))),x56012)
% 191.26/191.45 [5602]~P10(x56021)+E(f39(x56021,f329(f329(f311(x56021),x56022),f191(f916(x56021,a903)))),x56022)
% 191.26/191.45 [5603]~P10(x56031)+E(f38(x56031,f329(f329(f311(x56031),x56032),f191(f916(x56031,a903)))),x56032)
% 191.26/191.45 [5625]E(f329(f329(f82(a908),x56251),f329(f329(f23(a908),x56252),x56251)),x56252)+P1(f329(f329(f241(a908),x56252),x56251))
% 191.26/191.45 [5661]E(x56611,f118(x56612))+P1(f329(f329(f241(a908),f2(a908)),f329(f192(f909(x56612)),x56611)))
% 191.26/191.45 [5788]~P112(x57881)+E(f11(x57881,f238(x57881),f329(f329(f311(x57881),x57882),f191(f916(x57881,a903)))),x57882)
% 191.26/191.45 [5789]~P112(x57891)+E(f12(x57891,f239(x57891),f329(f329(f311(x57891),x57892),f191(f916(x57891,a903)))),x57892)
% 191.26/191.45 [5850]E(f329(f329(f82(a908),x58501),f329(f329(f23(a908),x58502),x58501)),x58502)+~P1(f329(f329(f240(a908),x58501),x58502))
% 191.26/191.45 [5851]E(f329(f329(f23(a908),x58511),f329(f329(f23(a908),x58511),x58512)),x58512)+~P1(f329(f329(f240(a908),x58512),x58511))
% 191.26/191.45 [5872]E(f46(a908,f329(f329(f23(a908),x58721),x58722),x58722),f46(a908,x58721,x58722))+P1(f329(f329(f241(a908),x58721),x58722))
% 191.26/191.45 [5883]E(f329(f81(a1),f329(f329(f37(a1),x58831),f329(f81(a1),x58832))),f294(x58831,x58832))+P1(f329(f329(f240(a1),f2(a1)),x58832))
% 191.26/191.45 [5885]~E(x58852,f2(a908))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f249(a908),x58851),x58852)))
% 191.26/191.45 [5941]~P97(x59411)+E(f329(f329(f82(x59411),f329(f81(x59411),f80(x59411))),f329(f108(x59411),x59412)),f329(f108(x59411),f329(f329(f82(a1),x59412),a102)))
% 191.26/191.45 [5942]E(f329(f329(f249(a908),f329(f108(a908),x59421)),x59422),f329(f329(f249(a908),f2(a908)),x59422))+~P1(f329(a196,f329(f108(a1),x59421)))
% 191.26/191.45 [6043]E(f329(f144(a908),f142(a908,f329(f304(a908,x60431),x60432))),x60431)+~P1(f329(f329(f241(a908),x60431),x60432))
% 191.26/191.45 [6060]E(f329(f329(f83(a908),f329(f108(a908),x60601)),f329(f108(a908),x60602)),f329(f108(a908),f329(f329(f83(a1),x60601),x60602)))+P1(f329(f329(f241(a1),x60601),a85))
% 191.26/191.45 [6066]~P128(x60661)+P1(f329(f329(f240(x60661),f2(x60661)),f329(f329(f83(x60661),x60662),x60662)))
% 191.26/191.45 [6078]E(f329(f329(f23(a908),f329(a117,x60781)),x60782),f329(a117,f329(f329(f23(a908),x60781),x60782)))+~P1(f329(f329(f240(a908),x60782),x60781))
% 191.26/191.45 [6081]E(f46(a908,f329(f329(f23(a908),x60811),x60812),x60812),f46(a908,x60811,x60812))+~P1(f329(f329(f240(a908),x60812),x60811))
% 191.26/191.45 [6137]E(f329(f329(f249(a908),f329(a109,x61371)),x61372),f329(a109,f329(f329(f249(a1),x61371),x61372)))+~P1(f329(f329(f240(a1),f2(a1)),x61371))
% 191.26/191.45 [6155]P1(f329(f140(x61551),x61552))+P1(f329(f329(f241(a908),f692(x61552,x61551)),f329(f192(f909(x61551)),x61552)))
% 191.26/191.45 [6156]P1(f329(f140(x61561),x61562))+P1(f329(f329(f241(a908),f696(x61562,x61561)),f329(f192(f909(x61561)),x61562)))
% 191.26/191.45 [6171]~E(x61711,f118(x61712))+~P1(f329(f329(f241(a908),f2(a908)),f329(f192(f909(x61712)),x61711)))
% 191.26/191.45 [6182]E(f147(a908,f142(a908,f329(f304(a908,x61821),x61822))),f329(f329(f23(a908),x61822),f80(a908)))+~P1(f329(f329(f241(a908),x61821),x61822))
% 191.26/191.45 [6185]E(f329(f329(f82(a1),x61851),f329(f105(a1),f329(a117,f351(x61852,x61851)))),x61852)+~P1(f329(f329(f241(a1),x61851),x61852))
% 191.26/191.45 [6192]E(x61921,f2(a908))+E(f329(f329(f83(a908),x61922),f329(f329(f249(a908),x61922),f329(f329(f23(a908),x61921),f80(a908)))),f329(f329(f249(a908),x61922),x61921))
% 191.26/191.45 [6221]E(f329(f329(f83(a908),f329(a109,x62211)),f329(a109,x62212)),f329(a109,f329(f329(f83(a1),x62211),x62212)))+~P1(f329(f329(f240(a1),f2(a1)),x62211))
% 191.26/191.45 [6222]E(f329(f329(f37(a908),f329(a109,x62221)),f329(a109,x62222)),f329(a109,f329(f329(f37(a1),x62221),x62222)))+~P1(f329(f329(f240(a1),f2(a1)),x62221))
% 191.26/191.45 [6236]~P116(x62361)+E(f329(f329(f82(x62361),x62362),x62362),f329(f329(f83(x62361),f329(f329(f82(x62361),f80(x62361)),f80(x62361))),x62362))
% 191.26/191.45 [6258]E(f329(f329(f23(a1),f329(f105(a1),x62581)),f329(f105(a1),x62582)),f329(f105(a1),f329(f329(f23(a908),x62581),x62582)))+~P1(f329(f329(f240(a908),x62582),x62581))
% 191.26/191.45 [6260]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x62601),x62602)),f51(x62601,x62602))+~P1(f329(f329(f240(a1),x62602),f2(a1)))
% 191.26/191.45 [6291]E(f182(x62911,x62912),f118(f909(x62911)))+P1(f329(f329(f331(f909(x62911)),f691(x62912,x62911)),f329(f175(f909(x62911)),x62912)))
% 191.26/191.45 [6300]E(f121(a1,f329(f133(a1),x63001),f132(x63002,f329(f329(f82(a1),x63001),f80(a1)))),f132(x63002,x63001))+P1(f329(f329(f241(a1),x63002),x63001))
% 191.26/191.45 [6375]E(f329(f329(f154(a1),x63751),f181(f329(f329(f82(a1),x63751),f80(a1)),x63752)),f181(x63751,x63752))+~P1(f329(f329(f240(a1),x63751),x63752))
% 191.26/191.45 [6414]~P1(f329(f329(f241(a908),x64142),x64141))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f23(a908),x64141),x64142)))
% 191.26/191.45 [6445]~P1(f329(f329(f241(a908),x64451),f329(a109,x64452)))+P1(f329(f329(f241(a1),f329(f105(a1),x64451)),x64452))
% 191.26/191.45 [6474]~P112(x64741)+E(f329(f329(f115(f916(x64741,a903)),f329(f285(x64741),x64742)),f329(f329(f311(x64741),x64742),f191(f916(x64741,a903)))),f329(f303(x64741),x64742))
% 191.26/191.45 [6475]~P1(f329(f329(f240(a1),f2(a1)),x64751))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),x64751),x64752)))
% 191.26/191.45 [6478]~P1(f329(f329(f241(a908),f2(a908)),x64781))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f249(a908),x64781),x64782)))
% 191.26/191.45 [6508]~E(f329(x65081,f2(a908)),f2(a908))+E(f329(f329(f6(a908,a908),x65081),f305(a908,f329(a117,f2(a908)),x65082)),f329(f329(f6(a908,a908),x65081),f305(a908,f2(a908),x65082)))
% 191.26/191.45 [6573]~P97(x65731)+E(f329(f329(f83(x65731),f329(f329(f82(x65731),f80(x65731)),f80(x65731))),f329(f108(x65731),x65732)),f329(f108(x65731),f329(f329(f82(a1),x65732),x65732)))
% 191.26/191.45 [6588]E(f329(f329(f311(a1),x65881),f305(a1,f329(f329(f82(a1),x65881),f80(a1)),x65882)),f305(a1,x65881,x65882))+P1(f329(f329(f241(a1),x65882),x65881))
% 191.26/191.45 [6589]P1(f329(f329(f241(a908),x65891),f329(a109,x65892)))+~P1(f329(f329(f241(a1),f329(f105(a1),x65891)),x65892))
% 191.26/191.45 [6694]E(f329(a109,f329(f329(f37(a1),f329(f108(a1),x66941)),f329(f108(a1),x66942))),f329(f329(f37(a908),f329(f108(a908),x66941)),f329(f108(a908),x66942)))+P1(f329(a196,f329(f108(a1),x66941)))
% 191.26/191.45 [6751]P1(f329(f329(f241(a908),x67511),x67512))+~P1(f329(f329(f241(a908),f2(a908)),f329(f329(f23(a908),x67512),x67511)))
% 191.26/191.45 [6795]P1(f329(f329(f241(a908),f2(a908)),x67951))+~P1(f329(f329(f241(a908),f2(a908)),f329(f329(f83(a908),x67952),x67951)))
% 191.26/191.45 [6796]P1(f329(f329(f241(a908),f2(a908)),x67961))+~P1(f329(f329(f241(a908),f2(a908)),f329(f329(f83(a908),x67961),x67962)))
% 191.26/191.45 [6815]~P1(f329(f329(f240(a1),x68151),f2(a1)))+E(f329(f329(f83(a908),f329(a109,f329(f81(a1),x68151))),f329(a109,f329(f81(a1),x68152))),f329(a109,f329(f329(f83(a1),x68151),x68152)))
% 191.26/191.45 [6870]~E(x68702,f191(f916(x68701,a903)))+P1(f329(f329(f240(f916(x68701,a903)),x68702),f329(f81(f916(x68701,a903)),x68702)))
% 191.26/191.45 [6932]~P97(x69321)+E(f329(f329(f82(x69321),f329(f329(f82(x69321),f2(x69321)),f329(f108(x69321),x69322))),f329(f108(x69321),x69322)),f329(f108(x69321),f329(f329(f82(a1),x69322),x69322)))
% 191.26/191.45 [6986]~P1(f329(f329(f241(a1),x69861),x69862))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x69861),f80(a1))),x69862))
% 191.26/191.45 [7053]E(x70531,f2(a908))+~P1(f329(f329(f240(a1),f329(f105(a1),x70532)),f329(f81(a1),f329(f105(a1),x70531))))
% 191.26/191.45 [7054]E(x70541,f2(a908))+~P1(f329(f329(f240(a1),f329(f105(a1),x70541)),f329(f81(a1),f329(f105(a1),x70542))))
% 191.26/191.45 [7154]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x71541),x71542)),f51(x71541,x71542))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),x71541),x71542)))
% 191.26/191.45 [7198]~P32(x71981,x71982)+P43(x71981,f329(f256(f916(f915(x71981,x71981),a903),f916(f915(x71981,x71981),a903)),x71982))
% 191.26/191.45 [7216]~P1(f329(f329(f240(a908),f329(a117,f2(a908))),x72161))+P1(f329(f329(f240(a908),f329(a117,f2(a908))),f329(f329(f249(a908),x72161),x72162)))
% 191.26/191.45 [7398]~P1(f329(f329(f240(a1),x73981),x73982))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x73981),x73981)),f329(f329(f82(a1),x73982),x73982)))
% 191.26/191.45 [7403]~P1(f329(f329(f241(a1),x74031),x74032))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x74031),x74031)),f329(f329(f82(a1),x74032),x74032)))
% 191.26/191.45 [7464]~P1(f329(f329(f241(a908),f2(a908)),x74641))+P1(f329(f329(f241(a908),f329(f329(f23(a908),x74641),f329(a117,x74642))),x74641))
% 191.26/191.45 [7496]P1(f329(f329(f240(a908),f329(a117,f2(a908))),x74961))+~P1(f329(f329(f240(a908),f329(a117,f2(a908))),f329(f329(f83(a908),x74962),x74961)))
% 191.26/191.45 [7497]P1(f329(f329(f240(a908),f329(a117,f2(a908))),x74971))+~P1(f329(f329(f240(a908),f329(a117,f2(a908))),f329(f329(f83(a908),x74971),x74972)))
% 191.26/191.45 [7501]P1(f329(f329(f240(a908),f329(f329(f167(a908),x75011),x75012)),f329(f168(a908),x75011)))+~P1(f329(f329(f241(a908),x75012),f329(f192(f909(a908)),x75011)))
% 191.26/191.45 [7542]P1(f329(f329(f241(a1),x75421),x75422))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x75421),f80(a1))),x75422))
% 191.26/191.45 [7588]P1(f329(f62(x75881),f247(f916(x75881,a903))))+~P1(f329(f62(f916(x75882,x75881)),f247(f916(f916(x75882,x75881),a903))))
% 191.26/191.45 [7589]P1(f329(f62(x75891),f247(f916(x75891,a903))))+~P1(f329(f62(f914(x75892,x75891)),f247(f916(f914(x75892,x75891),a903))))
% 191.26/191.45 [7590]P1(f329(f62(x75901),f247(f916(x75901,a903))))+~P1(f329(f62(f914(x75901,x75902)),f247(f916(f914(x75901,x75902),a903))))
% 191.26/191.45 [7629]E(x76291,f191(f916(x76292,a903)))+~P1(f329(f329(f240(f916(x76292,a903)),x76291),f329(f81(f916(x76292,a903)),x76291)))
% 191.26/191.45 [7766]E(f329(f145(f909(x77661),f909(x77661),f137(x77661),f118(x77661)),x77662),f118(x77661))+P1(f329(f329(f331(f909(x77661)),f724(x77662,x77661)),f329(f175(f909(x77661)),x77662)))
% 191.26/191.45 [7767]E(f329(f145(f909(x77671),f909(x77671),f137(x77671),f118(x77671)),x77672),f118(x77671))+P1(f329(f329(f331(f909(x77671)),f725(x77672,x77671)),f329(f175(f909(x77671)),x77672)))
% 191.26/191.45 [8010]P1(f329(f329(f240(a1),x80101),x80102))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x80101),x80101)),f329(f329(f82(a1),x80102),x80102)))
% 191.26/191.45 [8015]P1(f329(f329(f241(a1),x80151),x80152))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),x80151),x80151)),f329(f329(f82(a1),x80152),x80152)))
% 191.26/191.45 [8111]~P116(x81111)+E(f329(f329(f83(x81111),f329(f329(f82(x81111),f80(x81111)),f80(x81111))),f329(f329(f6(a908,x81111),f105(x81111)),f305(a908,f80(a908),x81112))),f329(f329(f83(x81111),f329(f105(x81111),x81112)),f329(f329(f82(x81111),f329(f105(x81111),x81112)),f80(x81111))))
% 191.26/191.45 [8168]P1(f329(f329(f331(a908),x81681),x81682))+~P1(f329(f329(f331(a1),f329(f105(a1),x81681)),f329(f312(a908,a1,f105(a1)),x81682)))
% 191.26/191.45 [8325]~P1(f329(f62(x83251),x83252))+E(f329(f312(a908,x83251,f538(x83252,x83251)),f329(f267(a908),f329(f329(f7(a908,a908,a903),f241(a908)),f539(x83252,x83251)))),x83252)
% 191.26/191.45 [8616]P61(x86161,x86162)+P1(f329(f329(f331(f915(x86161,x86161)),f329(f329(f257(x86161,x86161),f389(x86162,x86161)),f389(x86162,x86161))),x86162))
% 191.26/191.45 [8617]P44(x86171,x86172)+P1(f329(f329(f331(f915(x86171,x86171)),f329(f329(f257(x86171,x86171),f813(x86172,x86171)),f817(x86172,x86171))),x86172))
% 191.26/191.45 [8618]P44(x86181,x86182)+P1(f329(f329(f331(f915(x86181,x86181)),f329(f329(f257(x86181,x86181),f817(x86182,x86181)),f818(x86182,x86181))),x86182))
% 191.26/191.45 [8619]P45(x86191,x86192)+P1(f329(f329(f331(f915(x86191,x86191)),f329(f329(f257(x86191,x86191),f731(x86192,x86191)),f730(x86192,x86191))),x86192))
% 191.26/191.45 [8620]P45(x86201,x86202)+P1(f329(f329(f331(f915(x86201,x86201)),f329(f329(f257(x86201,x86201),f730(x86202,x86201)),f731(x86202,x86201))),x86202))
% 191.26/191.45 [8621]P59(x86211,x86212)+P1(f329(f329(f331(f915(x86211,x86211)),f329(f329(f257(x86211,x86211),f828(x86212,x86211)),f829(x86212,x86211))),x86212))
% 191.26/191.45 [8762]~P97(x87621)+E(f329(f329(f23(x87621),f80(x87621)),f329(f108(x87621),x87622)),f329(f108(x87621),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x87622))))
% 191.26/191.45 [8876]~P1(f329(f329(f241(f916(a908,a903)),x88761),x88762))+P1(f329(f329(f241(f916(a1,a903)),f329(f312(a908,a1,f105(a1)),x88761)),f329(f312(a908,a1,f105(a1)),x88762)))
% 191.26/191.45 [8908]~P1(f329(f329(f241(a1),x89081),x89082))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89081),x89081)),a102)),f329(f329(f82(a1),x89082),x89082)))
% 191.26/191.45 [8910]~P1(f329(f329(f241(a1),x89101),x89102))+P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89101),x89101)),a102)),f329(f329(f82(a1),x89102),x89102)))
% 191.26/191.45 [8979]~P1(f329(f329(f331(a908),x89791),f329(f175(a908),x89792)))+P1(f329(f329(f240(a908),x89791),f329(f145(a908,a908,f82(a908),f2(a908)),x89792)))
% 191.26/191.45 [9075]P53(x90751,x90752)+~P1(f329(f329(f331(f915(x90751,x90751)),f329(f329(f257(x90751,x90751),f363(x90752,x90751)),f363(x90752,x90751))),x90752))
% 191.26/191.45 [9076]P44(x90761,x90762)+~P1(f329(f329(f331(f915(x90761,x90761)),f329(f329(f257(x90761,x90761),f813(x90762,x90761)),f818(x90762,x90761))),x90762))
% 191.26/191.45 [9077]P59(x90771,x90772)+~P1(f329(f329(f331(f915(x90771,x90771)),f329(f329(f257(x90771,x90771),f829(x90772,x90771)),f828(x90772,x90771))),x90772))
% 191.26/191.45 [9217]~P1(f329(f329(f240(f916(a1,a903)),f329(f312(a908,a1,f105(a1)),x92171)),f329(f312(a908,a1,f105(a1)),x92172)))+P1(f329(f329(f240(f916(a908,a903)),x92171),x92172))
% 191.26/191.45 [9218]~P1(f329(f329(f241(f916(a1,a903)),f329(f312(a908,a1,f105(a1)),x92181)),f329(f312(a908,a1,f105(a1)),x92182)))+P1(f329(f329(f241(f916(a908,a903)),x92181),x92182))
% 191.26/191.45 [9313]P1(f329(f329(f241(a1),x93131),x93132))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93131),x93131)),a102)),f329(f329(f82(a1),x93132),x93132)))
% 191.26/191.45 [9315]P1(f329(f329(f241(a1),x93151),x93152))+~P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93151),x93151)),a102)),f329(f329(f82(a1),x93152),x93152)))
% 191.26/191.45 [10183]~P107(x101831)+E(f121(f909(x101831),f329(f133(f909(x101831)),f118(x101831)),f329(f329(f329(f99(f910(f909(x101831))),f329(f329(f241(a1),f2(a1)),x101832)),f329(f123(f915(x101831,f909(x101831)),f909(x101831),f134(x101831,f909(x101831),f135(x101831,f329(f329(f23(a1),x101832),f80(a1))),f135(f909(x101831),f329(f329(f23(a1),x101832),f80(a1))))),f329(f262(x101831,f909(x101831),f910(f909(x101831))),f329(f329(f8(f916(f909(x101831),f909(x101831)),f916(f909(x101831),f910(f909(x101831))),x101831),f329(f8(f909(x101831),f910(f909(x101831)),f909(x101831)),f133(f909(x101831)))),f154(x101831))))),f120(f909(x101831)))),f135(f909(x101831),x101832))
% 191.26/191.45 [10205]~P1(f329(f62(x102051),x102052))+E(f329(f192(f909(x102051)),f92(f909(x102051),f329(f329(f18(f909(x102051),a903,a903),f329(f329(f8(a903,f916(a903,a903),f909(x102051)),a327),f329(f329(f7(f909(x102051),f916(x102051,a903),a903),f329(f329(f8(f916(x102051,a903),f916(f916(x102051,a903),a903),f909(x102051)),a326),f175(x102051))),x102052))),f140(x102051)))),f218(x102051,x102052))
% 191.26/191.45 [6181]E(f329(f329(f82(a908),f329(f329(f23(a908),x61811),x61812)),x61812),x61811)+~P1(f329(f329(f240(a908),x61812),x61811))
% 191.26/191.45 [6254]E(f329(f329(f37(a908),f329(f329(f83(a908),x62541),x62542)),x62542),x62541)+~P1(f329(f329(f241(a908),f2(a908)),x62542))
% 191.26/191.45 [6255]E(f329(f329(f37(a908),f329(f329(f83(a908),x62551),x62552)),x62551),x62552)+~P1(f329(f329(f241(a908),f2(a908)),x62551))
% 191.26/191.45 [6259]~P5(x62591)+E(f329(f329(f6(a908,x62591),f329(f167(x62591),x62592)),f329(f304(a908,f2(a908)),f329(f192(f909(x62591)),x62592))),f329(f168(x62591),x62592))
% 191.26/191.45 [6367]E(f46(a908,f329(a117,f329(f329(f83(a908),x63671),x63672)),x63671),f80(a908))+~P1(f329(f329(f241(a908),f80(a908)),x63671))
% 191.26/191.45 [6373]E(f329(a117,f329(f329(f82(a908),f329(f108(a908),x63731)),x63732)),f329(f329(f82(a908),f80(a908)),x63732))+~P1(f329(a196,f329(f108(a1),x63731)))
% 191.26/191.45 [6402]E(f329(a109,f329(f329(f249(a1),f329(f108(a1),x64021)),x64022)),f329(f329(f249(a908),f329(f108(a908),x64021)),x64022))+P1(f329(a196,f329(f108(a1),x64021)))
% 191.26/191.45 [6644]E(f329(f329(f23(a908),x66441),f329(f108(a908),f329(f329(f82(a1),x66442),a102))),f329(f329(f23(a908),f329(a117,x66441)),f329(f108(a908),x66442)))+~P1(f329(f329(f241(a1),a85),x66442))
% 191.26/191.45 [6725]E(x67251,f2(a908))+E(f329(a117,f329(f329(f82(a908),f329(f329(f23(a908),x67251),f80(a908))),x67252)),f329(f329(f82(a908),x67251),x67252))
% 191.26/191.45 [6764]E(x67641,f2(a1))+P1(f329(f329(f241(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67641)),x67642)))
% 191.26/191.45 [6780]~E(x67802,f2(a908))+P1(f329(f329(f241(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67801)),x67802)))
% 191.26/191.45 [6818]E(x68181,f2(a908))+E(f329(f329(f82(a908),x68182),f329(f329(f83(a908),f329(f329(f23(a908),x68181),f80(a908))),x68182)),f329(f329(f83(a908),x68181),x68182))
% 191.26/191.45 [6863]~P1(f329(f329(f240(a1),x68631),x68632))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x68631),a102)),x68632))
% 191.26/191.45 [6989]E(f329(f329(f154(a908),x69891),f142(a908,f329(f304(a908,f329(a117,x69891)),x69892))),f142(a908,f329(f304(a908,x69891),x69892)))+~P1(f329(f329(f241(a908),x69891),x69892))
% 191.26/191.45 [7189]E(x71891,x71892)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x71891),x71891)),a102),f329(f329(f23(a1),f329(f329(f82(a1),x71892),x71892)),a102))
% 191.26/191.45 [7192]E(x71921,f118(x71922))+E(f271(x71922,f329(f329(f157(x71922,f915(a104,x71922)),f329(f257(a104,x71922),f80(a104))),x71921)),f278(x71922,x71921))
% 191.26/191.45 [7430]P1(f329(f329(f240(a1),x74301),x74302))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),x74301),a102)),x74302))
% 191.26/191.45 [7910]~P1(f329(f329(f241(a908),x79101),x79102))+P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),x79101),x79102)),a245))
% 191.26/191.45 [8140]~P1(f329(f329(f241(a104),f2(a104)),x81401))+P1(f329(f329(f241(a104),f329(f256(a104,f915(a104,a104)),f329(f272(x81401),x81402))),x81401))
% 191.26/191.45 [8407]~P44(x84071,x84072)+P44(x84071,f329(f329(f115(f916(f915(x84071,x84071),a903)),x84072),f309(x84071,f191(f916(f915(x84071,x84071),a903)))))
% 191.26/191.45 [8408]~P45(x84081,x84082)+P45(x84081,f329(f329(f115(f916(f915(x84081,x84081),a903)),x84082),f309(x84081,f191(f916(f915(x84081,x84081),a903)))))
% 191.26/191.45 [8458]~P89(x84581)+P1(f329(f329(f240(x84581),f329(f77(x84581),f329(f168(x84581),x84582))),f329(f168(x84581),f329(f329(f157(x84581,x84581),f77(x84581)),x84582))))
% 191.26/191.45 [8482]P1(f329(f329(f241(a908),x84821),x84822))+~P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),x84821),x84822)),a245))
% 191.26/191.45 [8645]E(f329(f329(f257(x86451,x86451),f616(x86452,x86451)),f616(x86452,x86451)),x86452)+~P1(f329(f329(f331(f915(x86451,x86451)),x86452),f309(x86451,f191(f916(f915(x86451,x86451),a903)))))
% 191.26/191.45 [8687]E(f329(f304(a908,x86871),f329(f329(f82(a908),x86871),f329(f36(a908),x86872))),x86872)+~P1(f329(f329(f240(f916(a908,a903)),x86872),f329(f304(a908,x86871),f329(f329(f82(a908),x86871),f329(f36(a908),x86872)))))
% 191.26/191.45 [8901]P45(x89011,x89012)+~P45(x89011,f329(f329(f115(f916(f915(x89011,x89011),a903)),x89012),f309(x89011,f191(f916(f915(x89011,x89011),a903)))))
% 191.26/191.45 [9025]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x90251),x90251)),a102))),f329(f108(a1),f329(f329(f82(a1),x90252),x90252))),f329(f329(f37(a1),f329(f108(a1),x90251)),f329(f108(a1),x90252)))+~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x90252)))
% 191.26/191.45 [9119]~P44(x91191,x91192)+P1(f329(f329(f240(f916(f915(x91191,x91191),a903)),f329(f329(f291(x91191,x91191,x91191),x91192),x91192)),x91192))
% 191.26/191.45 [9146]E(f180(f909(x91461),f329(f329(f8(a903,a903,f909(x91461)),a324),f329(f329(f7(f909(x91461),f909(x91461),a903),a326),f118(x91461))),x91462),f182(x91461,f182(x91461,x91462)))+~P18(a908,f329(f171(a908),f329(f329(f157(f909(x91461),a908),f192(f909(x91461))),x91462)))
% 191.26/191.45 [9149]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x91491),x91491)),a102))),f329(f108(a1),f329(f329(f82(a1),x91492),x91492))),f329(f329(f37(a1),f329(f329(f82(a1),f329(f108(a1),x91491)),f80(a1))),f329(f108(a1),x91492)))+P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x91492)))
% 191.26/191.45 [9992]P1(f329(a196,x99922))+E(f329(f329(f88(a1,a908),f329(f329(f23(a1),x99921),x99922)),f329(f329(f18(a1,a908,a908),f329(f329(f7(a1,a908,f916(a908,a908)),f329(f329(f8(a903,f916(a908,f916(a908,a908)),a1),f99(a908)),a196)),f2(a908))),a109)),f329(f329(f23(a908),f329(a109,x99921)),f329(a109,x99922)))
% 191.26/191.45 [10000]E(f329(f329(f88(a1,a908),f329(f108(a1),f329(f329(f82(a1),x100001),f329(f81(a1),x100002)))),f329(f329(f18(a1,a908,a908),f329(f329(f7(a1,a908,f916(a908,a908)),f329(f329(f8(a903,f916(a908,f916(a908,a908)),a1),f99(a908)),a196)),f2(a908))),a109)),f329(f329(f23(a908),f329(f108(a908),x100001)),f329(f108(a908),x100002)))+P1(f329(f329(f241(a1),x100002),a85))
% 191.26/191.45 [10001]~P32(x100011,x100012)+P1(f329(f329(f240(f916(f915(x100011,x100011),a903)),f329(f329(f291(x100011,x100011,x100011),f329(f256(f916(f915(x100011,x100011),a903),f916(f915(x100011,x100011),a903)),x100012)),f329(f261(f916(f915(x100011,x100011),a903),f916(f915(x100011,x100011),a903)),x100012))),f329(f256(f916(f915(x100011,x100011),a903),f916(f915(x100011,x100011),a903)),x100012)))
% 191.26/191.45 [10058]~E(f329(f36(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,f916(a908,a903),a903),f331(a908)),x100581))),f329(f329(f7(a908,a908,a903),f241(a908)),f329(a117,x100582))))),f2(a908))+~P1(f329(f329(f331(a908),f2(a908)),x100581))
% 191.26/191.45 [10113]E(f46(a1,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x101131),x101131)),a102)),f329(f108(a1),f329(f329(f82(a1),x101132),x101132))),f329(f329(f82(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f46(a1,f329(f108(a1),x101131),f329(f108(a1),x101132)))),f80(a1)))+~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x101132)))
% 191.26/191.45 [10122]E(f46(a1,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x101221),x101221)),a102)),f329(f108(a1),f329(f329(f82(a1),x101222),x101222))),f329(f329(f23(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f46(a1,f329(f329(f82(a1),f329(f108(a1),x101221)),f80(a1)),f329(f108(a1),x101222)))),f80(a1)))+P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x101222)))
% 191.26/191.45 [10171]~P10(x101711)+E(f38(x101711,f329(f267(x101711),f329(f329(f8(f916(x101711,a903),a903,x101711),f90(x101711)),f329(f329(f8(f916(x101711,a903),f916(x101711,a903),x101711),f329(f18(x101711,a903,a903),f329(f329(f8(a903,f916(a903,a903),x101711),a332),f329(f329(f7(x101711,f916(x101711,a903),a903),f331(x101711)),x101712)))),f240(x101711))))),f39(x101711,x101712))
% 191.26/191.45 [10198]~P43(x101981,x101982)+P67(x101981,f329(f329(f7(x101981,f916(f915(x101981,x101981),a903),f916(x101981,a903)),f329(f329(f8(f916(x101981,f916(f916(f915(x101981,x101981),a903),a903)),f916(f916(f915(x101981,x101981),a903),f916(x101981,a903)),x101981),f7(x101981,f916(f915(x101981,x101981),a903),a903)),f329(f329(f8(f916(x101981,f915(x101981,x101981)),f916(x101981,f916(f916(f915(x101981,x101981),a903),a903)),x101981),f329(f8(f915(x101981,x101981),f916(f916(f915(x101981,x101981),a903),a903),x101981),f331(f915(x101981,x101981)))),f257(x101981,x101981)))),x101982))
% 191.26/191.45 [10199]~P13(x101991,f247(f916(x101991,a903)),x101992)+P12(x101991,f329(f329(f7(x101991,f916(f915(x101991,x101991),a903),f916(x101991,a903)),f329(f329(f8(f916(x101991,f916(f916(f915(x101991,x101991),a903),a903)),f916(f916(f915(x101991,x101991),a903),f916(x101991,a903)),x101991),f7(x101991,f916(f915(x101991,x101991),a903),a903)),f329(f329(f8(f916(x101991,f915(x101991,x101991)),f916(x101991,f916(f916(f915(x101991,x101991),a903),a903)),x101991),f329(f8(f915(x101991,x101991),f916(f916(f915(x101991,x101991),a903),a903),x101991),f331(f915(x101991,x101991)))),f257(x101991,x101991)))),x101992))
% 191.26/191.45 [10243]P43(x102431,x102432)+~P67(x102431,f329(f329(f7(x102431,f916(f915(x102431,x102431),a903),f916(x102431,a903)),f329(f329(f8(f916(x102431,f916(f916(f915(x102431,x102431),a903),a903)),f916(f916(f915(x102431,x102431),a903),f916(x102431,a903)),x102431),f7(x102431,f916(f915(x102431,x102431),a903),a903)),f329(f329(f8(f916(x102431,f915(x102431,x102431)),f916(x102431,f916(f916(f915(x102431,x102431),a903),a903)),x102431),f329(f8(f915(x102431,x102431),f916(f916(f915(x102431,x102431),a903),a903),x102431),f331(f915(x102431,x102431)))),f257(x102431,x102431)))),x102432))
% 191.26/191.45 [10244]P13(x102441,f247(f916(x102441,a903)),x102442)+~P12(x102441,f329(f329(f7(x102441,f916(f915(x102441,x102441),a903),f916(x102441,a903)),f329(f329(f8(f916(x102441,f916(f916(f915(x102441,x102441),a903),a903)),f916(f916(f915(x102441,x102441),a903),f916(x102441,a903)),x102441),f7(x102441,f916(f915(x102441,x102441),a903),a903)),f329(f329(f8(f916(x102441,f915(x102441,x102441)),f916(x102441,f916(f916(f915(x102441,x102441),a903),a903)),x102441),f329(f8(f915(x102441,x102441),f916(f916(f915(x102441,x102441),a903),a903),x102441),f331(f915(x102441,x102441)))),f257(x102441,x102441)))),x102442))
% 191.26/191.45 [7378]E(f329(f329(f82(a908),f329(f108(a908),f329(f329(f23(a1),x73781),a102))),x73782),f329(a117,f329(f329(f82(a908),f329(f108(a908),x73781)),x73782)))+P1(f329(a196,f329(f108(a1),x73781)))
% 191.26/191.45 [7824]~P97(x78241)+E(f329(f329(f82(x78241),f329(f329(f82(x78241),f80(x78241)),f329(f108(x78241),x78242))),f329(f108(x78241),x78242)),f329(f108(x78241),f329(f329(f23(a1),f329(f329(f82(a1),x78242),x78242)),a102)))
% 191.26/191.45 [8484]~P1(f329(f329(f240(a1),x84841),x84842))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x84841),x84841)),f329(f329(f23(a1),f329(f329(f82(a1),x84842),x84842)),a102)))
% 191.26/191.45 [8486]~P1(f329(f329(f240(a1),x84861),x84862))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x84861),x84861)),f329(f329(f23(a1),f329(f329(f82(a1),x84862),x84862)),a102)))
% 191.26/191.45 [8912]P1(f329(f329(f240(a1),x89121),x89122))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x89121),x89121)),f329(f329(f23(a1),f329(f329(f82(a1),x89122),x89122)),a102)))
% 191.26/191.45 [8914]P1(f329(f329(f240(a1),x89141),x89142))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),x89141),x89141)),f329(f329(f23(a1),f329(f329(f82(a1),x89142),x89142)),a102)))
% 191.26/191.45 [9206]~P1(f329(f329(f240(a1),x92061),x92062))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92061),x92061)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x92062),x92062)),a102)))
% 191.26/191.45 [9208]~P1(f329(f329(f241(a1),x92081),x92082))+P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92081),x92081)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x92082),x92082)),a102)))
% 191.26/191.45 [9482]P1(f329(f329(f240(a1),x94821),x94822))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94821),x94821)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94822),x94822)),a102)))
% 191.26/191.45 [9484]P1(f329(f329(f241(a1),x94841),x94842))+~P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94841),x94841)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94842),x94842)),a102)))
% 191.26/191.45 [9516]~P1(f329(f62(x95161),x95162))+P1(f329(f62(f916(x95161,a903)),f329(f267(f916(x95161,a903)),f329(f329(f7(f916(x95161,a903),f916(x95161,a903),a903),f240(f916(x95161,a903))),x95162))))
% 191.26/191.45 [9566]~E(f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),x95661),f191(f916(f915(a908,a908),a903)))),f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),x95662),f191(f916(f915(a908,a908),a903)))))+P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),x95661),x95662)),a113))
% 191.26/191.45 [9654]E(f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),x96541),f191(f916(f915(a908,a908),a903)))),f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),x96542),f191(f916(f915(a908,a908),a903)))))+~P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),x96541),x96542)),a113))
% 191.26/191.45 [9689]P1(f329(f329(f240(a1),f2(a1)),f663(x96891,x96892)))+E(f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x96891)),f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x96892)))
% 191.26/191.45 [10182]~P10(x101821)+E(f39(x101821,f329(f267(x101821),f329(f329(f8(f916(x101821,a903),a903,x101821),f90(x101821)),f329(f329(f8(f916(x101821,a903),f916(x101821,a903),x101821),f329(f18(x101821,a903,a903),f329(f329(f8(a903,f916(a903,a903),x101821),a332),f329(f329(f7(x101821,f916(x101821,a903),a903),f331(x101821)),x101822)))),f329(f7(x101821,x101821,a903),f240(x101821)))))),f38(x101821,x101822))
% 191.26/191.45 [10204]P1(f329(f329(f331(a908),f2(a908)),x102041))+E(f329(f36(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,f916(a908,a903),a903),f329(f329(f8(a908,f916(f916(a908,a903),a903),a908),f331(a908)),a117)),x102041))),f329(f329(f7(a908,a908,a903),f241(a908)),x102042)))),f329(f36(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,f916(a908,a903),a903),f331(a908)),x102041))),f329(f329(f7(a908,a908,a903),f241(a908)),f329(a117,x102042))))))
% 191.26/191.45 [7693]~P97(x76931)+E(f329(f329(f83(x76931),x76932),f329(f108(x76931),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x76932)
% 191.26/191.45 [7962]~P97(x79621)+E(f329(f329(f82(x79621),f329(f108(x79621),x79622)),f80(x79621)),f329(f108(x79621),f329(f329(f82(a1),x79622),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))
% 191.26/191.45 [8109]P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x81092)))+E(f329(f329(f249(a1),x81091),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),x81092),x81092)),a102))),f80(a1))
% 191.26/191.45 [9540]~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x95402)))+E(f329(f329(f249(a1),x95401),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),x95402),x95402)),a102))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x95401),f329(f108(a908),x95402))),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f916(a1,a1),a1),f83(a1)),f329(f83(a1),x95401))),f5(a1))))
% 191.26/191.45 [9913]~P1(f329(f329(f240(a908),f676(x99132,x99131)),f329(x99131,f676(x99132,x99131))))+P1(f329(f62(a908),f329(f267(a908),f329(f329(f7(a908,a908,a903),f329(f329(f8(a908,f916(a908,a903),a908),f240(a908)),x99131)),x99132))))
% 191.26/191.45 [10048]~P1(f329(f329(f240(a908),f329(f108(a908),x100481)),f329(a117,x100482)))+P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x100481),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),f240(a908)),a109)),x100482))))
% 191.26/191.45 [10049]~P1(f329(f329(f241(a908),f329(f108(a908),x100491)),f329(a117,x100492)))+P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x100491),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),f241(a908)),a109)),x100492))))
% 191.26/191.45 [10097]P1(f329(f329(f240(a908),f329(f108(a908),x100971)),f329(a117,x100972)))+~P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x100971),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),f240(a908)),a109)),x100972))))
% 191.26/191.45 [10098]P1(f329(f329(f241(a908),f329(f108(a908),x100981)),f329(a117,x100982)))+~P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x100981),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),f241(a908)),a109)),x100982))))
% 191.26/191.45 [10128]~P1(f329(f329(f240(a908),f329(a117,x101282)),f329(f108(a908),x101281)))+P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x101281),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f8(a908,a903,a1),f329(f240(a908),x101282)),a109)))))
% 191.26/191.45 [10129]~P1(f329(f329(f241(a908),f329(a117,x101292)),f329(f108(a908),x101291)))+P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x101291),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f8(a908,a903,a1),f329(f241(a908),x101292)),a109)))))
% 191.26/191.45 [10169]P1(f329(f329(f240(a908),f329(a117,x101691)),f329(f108(a908),x101692)))+~P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x101692),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f8(a908,a903,a1),f329(f240(a908),x101691)),a109)))))
% 191.26/191.45 [10170]P1(f329(f329(f241(a908),f329(a117,x101701)),f329(f108(a908),x101702)))+~P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x101702),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f8(a908,a903,a1),f329(f241(a908),x101701)),a109)))))
% 191.26/191.45 [10253]~P1(f329(f329(f331(a908),f2(a908)),x102531))+E(f329(a117,f329(f36(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,f916(a908,a903),a903),f329(f329(f8(a908,f916(f916(a908,a903),a903),a908),f331(a908)),a117)),x102531))),f329(f329(f7(a908,a908,a903),f241(a908)),x102532))))),f329(f36(a908),f329(f267(a908),f329(f329(f18(a908,a903,a903),f329(f329(f8(a903,f916(a903,a903),a908),a327),f329(f329(f7(a908,f916(a908,a903),a903),f331(a908)),x102531))),f329(f329(f7(a908,a908,a903),f241(a908)),f329(a117,x102532))))))
% 191.26/191.45 [8671]~P97(x86711)+E(f329(f329(f83(x86711),f329(f108(x86711),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x86712),x86712)
% 191.26/191.45 [8730]~P97(x87301)+E(f329(f329(f82(x87301),f80(x87301)),f329(f108(x87301),x87302)),f329(f108(x87301),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x87302)))
% 191.26/191.45 [8789]~P97(x87891)+E(f329(f329(f23(x87891),f329(f108(x87891),x87892)),f80(x87891)),f329(f108(x87891),f329(f329(f82(a1),x87892),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.45 [8929]~P1(f329(f329(f241(a908),f329(f108(a908),a85)),x89292))+E(f329(f329(f23(a908),x89291),f329(f329(f23(a908),x89292),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f23(a908),f329(a117,x89291)),x89292))
% 191.26/191.45 [9584]~P116(x95841)+E(f329(f329(f83(x95841),x95842),x95842),f329(f329(f249(x95841),x95842),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.45 [9585]~P88(x95851)+E(f329(f329(f249(x95851),x95852),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f83(x95851),x95852),x95852))
% 191.26/191.45 [9587]~P97(x95871)+E(f329(f329(f83(x95871),x95872),f329(f108(x95871),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f82(x95871),x95872),x95872))
% 191.26/191.45 [9830]~P120(x98301)+E(f329(f329(f249(x98301),f329(f81(x98301),x98302)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x98301),x98302),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.45 [9831]~P121(x98311)+E(f329(f329(f249(x98311),f329(f77(x98311),x98312)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x98311),x98312),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.45 [9827]~P97(x98271)+E(f329(f329(f83(x98271),f329(f108(x98271),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x98272),f329(f329(f82(x98271),x98272),x98272))
% 191.26/191.45 [9947]~P121(x99471)+E(f329(f77(x99471),f329(f329(f249(x99471),x99472),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x99471),x99472),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.45 [10008]~P121(x100081)+P1(f329(f329(f240(x100081),f2(x100081)),f329(f329(f249(x100081),x100082),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.45 [10160]~E(f329(a117,x101602),f329(f108(a908),x101601))+P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x101601),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),a326),a109)),x101602)))))
% 191.26/191.45 [10161]~E(f329(f108(a908),x101611),f329(a117,x101612))+P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x101611),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),a326),a109)),x101612)))))
% 191.26/191.45 [10207]E(f329(a117,x102071),f329(f108(a908),x102072))+~P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x102072),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),a326),a109)),x102071)))))
% 191.26/191.45 [10208]E(f329(f108(a908),x102081),f329(a117,x102082))+~P1(f329(f329(f88(a1,a903),f329(f108(a1),f329(f329(f82(a1),x102081),a102))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a332),f329(f329(f8(a903,a903,a1),a324),a196))),f329(f329(f7(a1,a908,a903),f329(f329(f8(a908,f916(a908,a903),a1),a326),a109)),x102082)))))
% 191.26/191.45 [10254]~P20(x102541,x102542)+P1(f329(f329(f331(f916(x102541,a903)),f837(x102542,x102541)),f329(f329(f8(f916(x102541,a903),a903,f916(x102541,a903)),f89(x102541)),f329(f329(f8(f916(x102541,a903),f916(x102541,a903),f916(x102541,a903)),f329(f18(x102541,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102541),a327),f329(f329(f18(x102541,x102541,a903),x102542),f5(x102541))))),f329(f329(f7(f916(x102541,a903),f916(x102541,f916(x102541,a903)),f916(x102541,a903)),f329(f329(f8(f916(f916(x102541,a903),a903),f916(f916(x102541,f916(x102541,a903)),f916(x102541,a903)),f916(x102541,a903)),f8(f916(x102541,a903),a903,x102541)),a326)),x102542)))))
% 191.26/191.45 [10006]~P97(x100061)+E(f329(f329(f249(x100061),f329(f108(x100061),a102)),f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100062)),f80(x100061))
% 191.26/191.45 [10007]~P120(x100071)+E(f329(f329(f249(x100071),f329(f81(x100071),f80(x100071))),f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100072)),f80(x100071))
% 191.26/191.45 [10010]~P88(x100101)+E(f329(f329(f249(x100101),x100102),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),a102))),f329(f329(f83(x100101),f329(f329(f83(x100101),x100102),x100102)),x100102))
% 191.26/191.45 [10187]~P1(f329(f329(f240(a1),f2(a1)),x101872))+E(f46(a1,f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101871)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101872)),f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f46(a1,x101871,x101872))))
% 191.26/191.45 [10210]~P1(f329(f329(f240(a1),f2(a1)),x102102))+E(f329(f329(f37(a1),f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102101))),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102102)),f329(f329(f37(a1),x102101),x102102))
% 191.26/191.45 [10212]~P1(f329(f329(f240(a1),x102122),f2(a1)))+E(f329(f329(f37(a1),f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102121))),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102122)),f329(f329(f37(a1),f329(f329(f82(a1),x102121),f80(a1))),x102122))
% 191.26/191.45 [10213]~P1(f329(f329(f240(a1),x102132),f2(a1)))+E(f46(a1,f329(f329(f82(a1),f80(a1)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102131)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102132)),f329(f329(f23(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f46(a1,f329(f329(f82(a1),x102131),f80(a1)),x102132))),f80(a1)))
% 191.26/191.45 [10088]~P97(x100881)+E(f329(f329(f249(x100881),f329(f108(x100881),a102)),f329(a117,f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100882))),f329(f108(x100881),a102))
% 191.26/191.45 [10090]~P120(x100901)+E(f329(f329(f249(x100901),f329(f81(x100901),f80(x100901))),f329(a117,f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100902))),f329(f81(x100901),f80(x100901)))
% 191.26/191.45 [5046]P44(x50461,x50462)+~P13(x50461,x50463,x50462)
% 191.26/191.45 [5048]P59(x50481,x50482)+~P13(x50481,x50483,x50482)
% 191.26/191.45 [5221]~P13(x52211,x52212,x52213)+P60(x52211,x52212,x52213)
% 191.26/191.45 [6237]E(x62371,x62372)+~P48(a25,x62371,x62373,x62372)
% 191.26/191.45 [8183]~E(x81832,x81833)+P40(x81831,x81831,a326,x81832,x81833)
% 191.26/191.45 [8743]E(x87431,x87432)+~P40(x87433,x87433,a326,x87431,x87432)
% 191.26/191.45 [4853]E(f172(x48531,x48532,x48533),f118(x48531))+~E(x48532,f2(a908))
% 191.26/191.45 [5021]~E(f172(x50212,x50211,x50213),f118(x50212))+E(x50211,f2(a908))
% 191.26/191.45 [5226]~P43(x52261,x52263)+P43(x52261,f323(x52261,x52262,x52263))
% 191.26/191.45 [5337]~P36(x53371,x53372,x53373)+P37(a1,x53371,f181(x53372,x53373))
% 191.26/191.45 [5392]P33(x53921,x53922,x53923)+~P33(x53921,f329(a117,x53922),x53923)
% 191.26/191.45 [5410]P36(x54101,x54102,x54103)+~P37(a1,x54101,f181(x54102,x54103))
% 191.26/191.45 [5480]~P13(x54801,x54802,x54803)+P13(f909(x54801),f164(x54801,x54802),f161(x54801,x54803))
% 191.26/191.45 [5481]~P60(x54811,x54812,x54813)+P60(f909(x54811),f164(x54811,x54812),f161(x54811,x54813))
% 191.26/191.45 [5590]P63(x55901,x55902,x55903)+~E(f580(x55903,x55902,x55901),f581(x55903,x55902,x55901))
% 191.26/191.45 [5591]P62(x55911,x55912,x55913)+~E(f598(x55913,x55912,x55911),f599(x55913,x55912,x55911))
% 191.26/191.45 [6547]P34(x65471,x65472,x65473)+~P33(x65471,f776(x65473,x65472,x65471),f858(x65473,x65472,x65471))
% 191.26/191.45 [4808]~E(f329(f171(x48082),x48081),x48083)+E(x48081,f329(f171(x48082),x48083))
% 191.26/191.45 [4809]~E(x48092,f329(f171(x48091),x48093))+E(f329(f171(x48091),x48092),x48093)
% 191.26/191.45 [4859]E(x48591,x48592)+~E(f329(f171(x48593),x48591),f329(f171(x48593),x48592))
% 191.26/191.45 [5072]~P12(x50723,x50721)+P1(f329(f329(x50721,x50722),x50722))
% 191.26/191.45 [5073]~P56(x50733,x50731)+P1(f329(f329(x50731,x50732),x50732))
% 191.26/191.45 [5075]~P67(x50751,x50752)+P1(f329(f317(x50751,x50752),x50753))
% 191.26/191.45 [5139]~P43(x51391,x51392)+P43(f909(x51391),f329(f146(x51391,x51392),x51393))
% 191.26/191.45 [5144]~P1(f329(x51442,x51443))+~E(f329(f267(x51441),x51442),f191(f916(x51441,a903)))
% 191.26/191.45 [5145]~P1(f329(x51452,x51453))+~E(f191(f916(x51451,a903)),f329(f267(x51451),x51452))
% 191.26/191.45 [5157]E(x51571,f2(a908))+E(f147(x51572,f172(x51572,x51571,x51573)),x51573)
% 191.26/191.45 [5175]~P1(f329(x51751,x51753))+P1(f329(x51751,f92(x51752,x51751)))
% 191.26/191.45 [5176]~P1(f329(x51761,x51763))+P1(f329(x51761,f762(x51761,x51762)))
% 191.26/191.45 [5188]E(x51881,f2(a908))+E(f329(f144(x51882),f172(x51882,x51881,x51883)),x51883)
% 191.26/191.45 [5300]~E(x53002,x53003)+P1(f329(f329(f331(x53001),x53002),f329(a326,x53003)))
% 191.26/191.45 [5315]~E(x53152,f2(a908))+E(f329(f175(x53151),f172(x53151,x53152,x53153)),f191(f916(x53151,a903)))
% 191.26/191.45 [5359]E(f329(f171(x53591),x53592),f329(f329(f154(x53591),x53593),f118(x53591)))+~E(x53592,f329(f329(f154(x53591),x53593),f118(x53591)))
% 191.26/191.45 [5360]~E(x53603,f329(f329(f154(x53601),x53602),f118(x53601)))+E(f329(f329(f154(x53601),x53602),f118(x53601)),f329(f171(x53601),x53603))
% 191.26/191.45 [5406]~P39(x54061,x54062,x54063)+P39(x54061,x54062,f329(f171(x54061),x54063))
% 191.26/191.45 [5407]~P37(x54071,x54072,x54073)+P37(x54071,x54072,f329(f171(x54071),x54073))
% 191.26/191.45 [5411]E(f329(f36(x54111),f844(x54112,x54113,x54111)),x54112)+~E(f329(f36(x54111),x54113),f329(a117,x54112))
% 191.26/191.45 [5418]~P43(x54181,x54183)+P1(f329(f329(f331(x54181),x54182),f318(x54181,x54183)))
% 191.26/191.45 [5422]~E(f329(f171(x54222),x54221),f329(f329(f154(x54222),x54223),f118(x54222)))+E(x54221,f329(f329(f154(x54222),x54223),f118(x54222)))
% 191.26/191.45 [5423]~E(f329(f329(f154(x54232),x54233),f118(x54232)),f329(f171(x54232),x54231))+E(x54231,f329(f329(f154(x54232),x54233),f118(x54232)))
% 191.26/191.45 [5446]E(f87(f915(a908,a908),f49(x54461,x54462)),x54463)+~P1(f329(f49(x54461,x54462),x54463))
% 191.26/191.45 [5484]P39(x54841,x54842,x54843)+~P39(x54841,x54842,f329(f171(x54841),x54843))
% 191.26/191.45 [5485]P37(x54851,x54852,x54853)+~P37(x54851,x54852,f329(f171(x54851),x54853))
% 191.26/191.45 [5544]~E(x55442,f118(x55441))+P1(f329(f329(f331(f909(x55441)),x55442),f164(x55441,x55443)))
% 191.26/191.45 [5553]~P60(x55531,x55532,x55533)+P60(x55531,x55532,f329(f289(x55531,x55531),x55533))
% 191.26/191.45 [5554]~P63(x55541,x55542,x55543)+P63(x55541,x55542,f329(f289(x55541,x55541),x55543))
% 191.26/191.45 [5571]~P68(x55711)+E(f46(x55711,f46(x55711,x55712,x55713),x55713),f46(x55711,x55712,x55713))
% 191.26/191.45 [5672]E(x56721,x56722)+~P1(f329(f329(f331(x56723),x56721),f329(a326,x56722)))
% 191.26/191.45 [5719]~P109(x57191)+E(f193(x57191,x57192,f2(a908),x57193),x57193)
% 191.26/191.45 [5741]P60(x57411,x57412,x57413)+~P60(x57411,x57412,f329(f289(x57411,x57411),x57413))
% 191.26/191.45 [5742]P63(x57421,x57422,x57423)+~P63(x57421,x57422,f329(f289(x57421,x57421),x57423))
% 191.26/191.45 [5746]~P112(x57462)+E(f153(x57461,x57462,x57463,f118(x57461)),f118(x57461))
% 191.26/191.45 [5759]E(f173(x57591,x57592,f155(x57591,x57593)),f155(x57591,f173(x57591,x57592,x57593)))+~P1(f329(f140(x57591),x57593))
% 191.26/191.45 [5859]E(f329(f139(x58591,x58592),x58593),f118(x58591))+P1(f329(x58592,f722(x58593,x58592,x58591)))
% 191.26/191.45 [5917]E(f69(x59171,x59172,x59173),x59172)+P1(f329(x59173,f763(x59172,x59171,x59173)))
% 191.26/191.45 [6011]~P1(f329(f140(x60111),x60112))+P1(f329(f140(x60111),f179(x60111,x60112,x60113)))
% 191.26/191.45 [6012]~P1(f329(f140(x60121),x60123))+P1(f329(f140(x60121),f173(x60121,x60122,x60123)))
% 191.26/191.45 [6013]~P1(f329(f140(x60131),x60133))+P1(f329(f140(x60131),f180(x60131,x60132,x60133)))
% 191.26/191.45 [6014]~P1(f329(f140(x60141),x60143))+P1(f329(f140(x60141),f143(x60141,x60142,x60143)))
% 191.26/191.45 [6015]~P148(x60151,x60152,x60153)+P1(f329(x60151,f46(a1,x60152,x60153)))
% 191.26/191.45 [6031]~P39(x60313,x60311,x60312)+P1(f329(x60311,f775(x60312,x60311,x60313)))
% 191.26/191.45 [6032]~P41(x60323,x60321,x60322)+P1(f329(x60321,f783(x60322,x60321,x60323)))
% 191.26/191.45 [6033]~P41(x60333,x60331,x60332)+P1(f329(x60331,f793(x60332,x60331,x60333)))
% 191.26/191.45 [6034]~P39(x60343,x60341,x60342)+P1(f329(x60341,f820(x60342,x60341,x60343)))
% 191.26/191.45 [6035]~P39(x60353,x60351,x60352)+P1(f329(x60351,f821(x60351,x60352,x60353)))
% 191.26/191.45 [6054]E(f329(f139(x60541,x60542),x60543),f180(x60541,x60542,x60543))+P1(f329(x60542,f747(x60543,x60542,x60541)))
% 191.26/191.45 [6097]~P1(f329(f140(x60971),x60973))+P1(f329(f140(f909(x60971)),f56(x60971,x60972,x60973)))
% 191.26/191.45 [6131]~P114(x61311)+E(f329(f329(f106(f916(x61311,a903)),f329(f285(x61311),x61312)),f305(x61311,x61312,x61313)),f191(f916(x61311,a903)))
% 191.26/191.45 [6132]~P114(x61321)+E(f329(f329(f106(f916(x61321,a903)),f329(f303(x61321),x61322)),f308(x61321,x61322,x61323)),f191(f916(x61321,a903)))
% 191.26/191.45 [6133]~P114(x61331)+E(f329(f329(f106(f916(x61331,a903)),f329(f303(x61331),x61332)),f307(x61331,x61332,x61333)),f191(f916(x61331,a903)))
% 191.26/191.45 [6363]E(f329(f139(x63631,x63632),x63633),x63633)+~P1(f329(x63632,f723(x63633,x63632,x63631)))
% 191.26/191.45 [6365]E(f329(f329(f311(x63651),f857(x63652,x63653,x63651)),f844(x63652,x63653,x63651)),x63653)+~E(f329(f36(x63651),x63653),f329(a117,x63652))
% 191.26/191.45 [6380]P148(x63801,x63802,x63803)+~P1(f329(x63801,f46(a1,x63802,x63803)))
% 191.26/191.45 [6429]P37(x64291,x64292,x64293)+~P1(f329(x64292,f784(x64293,x64292,x64291)))
% 191.26/191.45 [6430]P37(x64301,x64302,x64303)+~P1(f329(x64302,f790(x64302,x64303,x64301)))
% 191.26/191.45 [6431]P37(x64311,x64312,x64313)+~P1(f329(x64312,f791(x64313,x64312,x64311)))
% 191.26/191.45 [6432]P36(x64321,x64322,x64323)+~P1(f329(x64321,f805(x64323,x64322,x64321)))
% 191.26/191.45 [6434]E(f180(x64341,x64342,x64343),x64343)+~P1(f329(x64342,f742(x64343,x64342,x64341)))
% 191.26/191.45 [6516]~P1(f329(x65162,f354(x65163,x65162,x65161)))+P1(f329(f253(x65161,x65162),x65163))
% 191.26/191.45 [6517]~P1(f329(x65172,f698(x65173,x65172,x65171)))+P1(f329(f163(x65171,x65172),x65173))
% 191.26/191.45 [6765]~P1(f329(f317(x67651,x67652),f355(x67653,x67652,x67651)))+P1(f329(f317(x67651,x67652),x67653))
% 191.26/191.45 [6766]~P1(f329(f317(x67661,x67662),f366(x67663,x67662,x67661)))+P1(f329(f317(x67661,x67662),x67663))
% 191.26/191.45 [7379]~P68(x73791)+E(f329(f329(f82(x73791),f329(f329(f83(x73791),x73792),f329(f329(f37(x73791),x73793),x73792))),f46(x73791,x73793,x73792)),x73793)
% 191.26/191.45 [7408]P36(x74081,x74082,x74083)+P1(f329(f329(f331(a1),f805(x74083,x74082,x74081)),f305(a1,x74082,x74083)))
% 191.26/191.45 [7846]E(f329(f329(f257(x78461,x78461),f460(x78462,x78463,x78461)),f460(x78462,x78463,x78461)),x78463)+~P1(f329(f329(f331(f915(x78461,x78461)),x78463),f268(x78461,x78462)))
% 191.26/191.45 [7970]~P1(f329(f329(f331(x79701),f495(x79703,x79702,x79701)),f318(x79701,x79703)))+P1(f329(f329(f331(x79701),x79702),f318(x79701,x79703)))
% 191.26/191.45 [7971]~P1(f329(f329(f331(x79711),f583(x79713,x79712,x79711)),f318(x79711,x79713)))+P1(f329(f329(f331(x79711),x79712),f318(x79711,x79713)))
% 191.26/191.45 [7972]~P1(f329(f329(f331(x79721),f585(x79723,x79722,x79721)),f318(x79721,x79723)))+P1(f329(f329(f331(x79721),x79722),f318(x79721,x79723)))
% 191.26/191.45 [8066]P39(a1,x80661,f181(x80662,x80663))+P36(f329(f74(a903,a903,a1,a324),x80661),x80662,x80663)
% 191.26/191.45 [8164]~P68(x81641)+E(f329(f329(f82(x81641),f329(f329(f83(x81641),f329(f329(f37(x81641),x81642),x81643)),x81643)),f46(x81641,x81642,x81643)),x81642)
% 191.26/191.45 [8211]~E(f329(f36(x82111),x82112),f329(a117,x82113))+~P1(f329(f329(f331(x82111),f857(x82113,x82112,x82111)),f844(x82113,x82112,x82111)))
% 191.26/191.45 [8663]~P39(a1,x86631,f181(x86632,x86633))+~P36(f329(f74(a903,a903,a1,a324),x86631),x86632,x86633)
% 191.26/191.45 [8839]P1(f329(f329(f240(f916(f915(x88391,x88391),a903)),f309(x88391,x88392)),f309(x88391,x88393)))+~P1(f329(f329(f240(f916(f915(x88391,x88391),a903)),x88392),f309(x88391,x88393)))
% 191.26/191.45 [9115]E(x91151,f118(x91152))+~P1(f329(f329(f331(f915(f909(x91152),f909(x91152))),f329(f329(f257(f909(x91152),f909(x91152)),x91151),f118(x91152))),f161(x91152,x91153)))
% 191.26/191.45 [9140]E(x91401,f118(x91402))+~P1(f329(f329(f331(f915(f909(x91402),f909(x91402))),f329(f329(f257(f909(x91402),f909(x91402)),f118(x91402)),x91401)),f161(x91402,x91403)))
% 191.26/191.45 [9275]E(f329(f329(f154(x92751),f715(x92752,x92753,x92751)),f716(x92752,x92753,x92751)),x92753)+~P1(f329(f329(f331(f915(f909(x92751),f909(x92751))),f329(f329(f257(f909(x92751),f909(x92751)),f118(x92751)),x92753)),f150(x92751,x92752)))
% 191.26/191.45 [9509]~P128(x95091)+~P1(f329(f329(f241(x95091),f329(f329(f82(x95091),f329(f329(f83(x95091),x95092),x95092)),f329(f329(f83(x95091),x95093),x95093))),f2(x95091)))
% 191.26/191.45 [9559]P1(f329(f62(x95591),x95592))+~P1(f329(f329(f331(f915(f916(x95591,a903),f916(x95591,a903))),f329(f329(f257(f916(x95591,a903),f916(x95591,a903)),x95593),x95592)),f316(x95591)))
% 191.26/191.45 [9855]~P54(x98551,x98552,x98553)+P1(f329(f329(f240(a1),f329(f329(f74(f915(a1,a1),a1,x98551,f256(a1,a1)),f216(x98551)),f234(x98551,x98552,f231(x98551,x98553)))),f2(a1)))
% 191.26/191.45 [9856]~P55(x98561,x98562,x98563)+P1(f329(f329(f241(a1),f329(f329(f74(f915(a1,a1),a1,x98561,f256(a1,a1)),f216(x98561)),f234(x98561,x98562,f231(x98561,x98563)))),f2(a1)))
% 191.26/191.45 [9976]P55(x99761,x99762,x99763)+~P1(f329(f329(f241(a1),f329(f329(f74(f915(a1,a1),a1,x99761,f256(a1,a1)),f216(x99761)),f234(x99761,x99762,f231(x99761,x99763)))),f2(a1)))
% 191.26/191.45 [9977]P54(x99771,x99772,x99773)+~P1(f329(f329(f240(a1),f329(f329(f74(f915(a1,a1),a1,x99771,f256(a1,a1)),f216(x99771)),f234(x99771,x99772,f231(x99771,x99773)))),f2(a1)))
% 191.26/191.45 [10308]~P121(x103081)+~P1(f329(f329(f241(x103081),f329(f329(f82(x103081),f329(f329(f249(x103081),x103082),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x103081),x103083),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x103081)))
% 191.26/191.45 [4838]~E(x48383,f118(x48381))+E(f329(f329(f137(x48381),x48382),x48383),x48382)
% 191.26/191.45 [4839]~E(x48392,f118(x48391))+E(f329(f329(f137(x48391),x48392),x48393),x48393)
% 191.26/191.45 [4845]~E(x48452,f2(a908))+E(f329(f329(f178(x48451),x48452),x48453),f118(x48451))
% 191.26/191.45 [4854]~E(x48543,f118(x48541))+E(f329(f329(f178(x48541),x48542),x48543),f118(x48541))
% 191.26/191.45 [4893]~E(x48931,x48933)+E(x48931,f329(f329(f137(x48932),f118(x48932)),x48933))
% 191.26/191.45 [4984]~P105(x49842)+E(f329(f191(f916(x49841,x49842)),x49843),f191(x49842))
% 191.26/191.45 [4985]~P115(x49852)+E(f329(f247(f916(x49851,x49852)),x49853),f247(x49852))
% 191.26/191.45 [5003]E(x50031,f118(x50032))+~E(f329(f329(f137(x50032),x50033),x50031),x50033)
% 191.26/191.45 [5004]E(x50041,f118(x50042))+~E(f329(f329(f137(x50042),x50041),x50043),x50043)
% 191.26/191.45 [5012]E(x50121,f118(x50122))+~E(f329(f329(f137(x50122),x50123),x50121),f118(x50122))
% 191.26/191.45 [5013]E(x50131,f118(x50132))+~E(f329(f329(f137(x50132),x50131),x50133),f118(x50132))
% 191.26/191.45 [5038]~E(x50382,f2(a908))+E(f329(f329(f83(a908),x50381),x50382),f329(f329(f83(a908),x50383),x50382))
% 191.26/191.45 [5040]~E(x50401,f2(a908))+E(f329(f329(f83(a908),x50401),x50402),f329(f329(f83(a908),x50401),x50403))
% 191.26/191.45 [5098]~P2(x50981)+E(f329(f329(f115(x50981),x50982),x50983),f329(f329(f115(x50981),x50983),x50982))
% 191.26/191.45 [5100]~P103(x51001)+E(f329(f329(f115(x51001),x51002),x51003),f329(f329(f115(x51001),x51003),x51002))
% 191.26/191.45 [5101]~P116(x51011)+E(f329(f329(f82(x51011),x51012),x51013),f329(f329(f82(x51011),x51013),x51012))
% 191.26/191.45 [5102]~P2(x51021)+E(f329(f329(f106(x51021),x51022),x51023),f329(f329(f106(x51021),x51023),x51022))
% 191.26/191.45 [5104]~P104(x51041)+E(f329(f329(f106(x51041),x51042),x51043),f329(f329(f106(x51041),x51043),x51042))
% 191.26/191.45 [5105]~P116(x51051)+E(f329(f329(f83(x51051),x51052),x51053),f329(f329(f83(x51051),x51053),x51052))
% 191.26/191.45 [5107]~P112(x51071)+E(f329(f329(f238(x51071),x51072),x51073),f329(f329(f238(x51071),x51073),x51072))
% 191.26/191.45 [5109]~P112(x51091)+E(f329(f329(f239(x51091),x51092),x51093),f329(f329(f239(x51091),x51093),x51092))
% 191.26/191.45 [5170]E(f46(a908,x51701,x51702),f2(a908))+~E(x51701,f329(f329(f83(a908),x51702),x51703))
% 191.26/191.45 [5171]E(f46(a1,x51711,x51712),f2(a1))+~E(x51711,f329(f329(f83(a1),x51712),x51713))
% 191.26/191.45 [5238]E(x52381,x52382)+~E(f329(f329(f82(a908),x52383),x52381),f329(f329(f82(a908),x52383),x52382))
% 191.26/191.45 [5239]E(x52391,x52392)+~E(f329(f329(f82(a908),x52391),x52393),f329(f329(f82(a908),x52392),x52393))
% 191.26/191.45 [5251]~P75(x52511)+E(f329(f329(f82(x52511),x52512),f329(f81(x52511),x52513)),f329(f329(f23(x52511),x52512),x52513))
% 191.26/191.45 [5252]~P79(x52521)+E(f329(f329(f82(x52521),x52522),f329(f81(x52521),x52523)),f329(f329(f23(x52521),x52522),x52523))
% 191.26/191.45 [5253]~P119(x52531)+E(f329(f329(f82(x52531),x52532),f329(f81(x52531),x52533)),f329(f329(f23(x52531),x52532),x52533))
% 191.26/191.45 [5254]~P98(x52541)+E(f329(f329(f106(x52541),x52542),f329(f81(x52541),x52543)),f329(f329(f23(x52541),x52542),x52543))
% 191.26/191.45 [5255]~P79(x52551)+E(f329(f329(f23(x52551),x52552),f329(f81(x52551),x52553)),f329(f329(f82(x52551),x52552),x52553))
% 191.26/191.45 [5294]~P1(f329(x52943,x52942))+P1(f329(f329(f331(x52941),x52942),x52943))
% 191.26/191.45 [5296]~P80(x52962)+E(f329(f329(f9(x52961,x52962),x52963),f191(f916(x52961,a903))),f80(x52962))
% 191.26/191.45 [5298]~P5(x52982)+E(f329(f329(f6(x52981,x52982),x52983),f191(f916(x52981,a903))),f2(x52982))
% 191.26/191.45 [5349]~E(x53492,f329(f329(f82(a908),x53491),x53493))+P1(f329(f329(f240(a908),x53491),x53492))
% 191.26/191.45 [5352]~E(x53522,f191(f916(x53521,a903)))+E(f329(f329(f61(x53521),x53522),x53523),f191(f916(f916(x53521,a903),a903)))
% 191.26/191.45 [5353]~E(x53532,f191(f916(x53531,a903)))+E(f191(f916(f916(x53531,a903),a903)),f329(f329(f61(x53531),x53532),x53533))
% 191.26/191.45 [5426]~E(f329(f287(x54262,x54263),x54261),f191(f916(x54263,a903)))+E(x54261,f191(f916(f915(x54262,x54263),a903)))
% 191.26/191.45 [5427]~E(f329(f269(x54272,x54273),x54271),f191(f916(x54272,a903)))+E(x54271,f191(f916(f915(x54272,x54273),a903)))
% 191.26/191.45 [5459]E(f329(f287(x54591,x54592),x54593),f191(f916(x54592,a903)))+~E(x54593,f191(f916(f915(x54591,x54592),a903)))
% 191.26/191.45 [5460]E(f329(f269(x54601,x54602),x54603),f191(f916(x54601,a903)))+~E(x54603,f191(f916(f915(x54601,x54602),a903)))
% 191.26/191.45 [5463]E(f277(x54631,x54632,x54633),f329(f329(f23(a104),x54632),x54633))+P1(f329(f329(f241(a104),x54632),x54633))
% 191.26/191.45 [5478]P1(f329(x54781,x54782))+~P1(f329(f329(f331(x54783),x54782),x54781))
% 191.26/191.45 [5516]E(x55161,x55162)+~E(f329(f81(f916(x55163,a903)),x55161),f329(f81(f916(x55163,a903)),x55162))
% 191.26/191.45 [5525]~E(x55251,f191(f916(x55252,a903)))+~P1(f329(f329(f331(x55252),x55253),x55251))
% 191.26/191.45 [5555]~E(x55552,f329(f329(f82(a1),x55551),f329(f105(a1),x55553)))+P1(f329(f329(f240(a1),x55551),x55552))
% 191.26/191.45 [5569]E(f329(f329(f311(x55691),x55692),x55693),x55693)+~P1(f329(f329(f331(x55691),x55692),x55693))
% 191.26/191.45 [5580]E(x55801,f191(f916(x55802,a903)))+~E(f329(f329(f61(x55802),x55801),x55803),f191(f916(f916(x55802,a903),a903)))
% 191.26/191.45 [5581]E(x55811,f191(f916(x55812,a903)))+~E(f191(f916(f916(x55812,a903),a903)),f329(f329(f61(x55812),x55811),x55813))
% 191.26/191.45 [5587]~P130(x55871)+E(f329(f329(f83(x55871),f329(f81(x55871),x55872)),f329(f81(x55871),x55873)),f329(f329(f83(x55871),x55872),x55873))
% 191.26/191.45 [5589]~P71(x55891)+E(f329(f329(f292(x55891),f329(f81(x55891),x55892)),f329(f81(x55891),x55893)),f329(f329(f292(x55891),x55892),x55893))
% 191.26/191.45 [5621]~P1(f329(x56213,x56212))+P1(f329(f329(f331(x56211),x56212),f329(f267(x56211),x56213)))
% 191.26/191.45 [5646]E(x56461,f2(a908))+E(f329(f175(x56462),f172(x56462,x56461,x56463)),f329(f329(f311(x56462),x56463),f191(f916(x56462,a903))))
% 191.26/191.45 [5665]E(f173(x56651,x56652,x56653),x56653)+P1(f329(f329(f331(x56651),x56652),f329(f175(x56651),x56653)))
% 191.26/191.45 [5750]~P1(f329(f140(x57501),x57503))+P1(f329(f140(x57501),f329(f139(x57501,x57502),x57503)))
% 191.26/191.45 [5794]~P68(x57941)+E(f329(f329(f37(x57941),f46(x57941,x57942,x57943)),x57943),f2(x57941))
% 191.26/191.45 [5813]E(f179(x58131,f329(f329(f154(x58131),x58132),f118(x58131)),x58133),f118(x58131))+P1(f329(f329(f331(a908),f2(a908)),x58133))
% 191.26/191.45 [5819]E(x58191,f2(a908))+E(f329(f174(x58192),f172(x58192,x58191,x58193)),f172(x58192,f329(f329(f23(a908),x58191),f80(a908)),x58193))
% 191.26/191.45 [5869]E(f329(f329(f154(x58691),x58692),x58693),f143(x58691,x58692,x58693))+P1(f329(f329(f331(x58691),x58692),f329(f175(x58691),x58693)))
% 191.26/191.45 [5878]E(x58781,x58782)+~E(f329(f329(f83(a908),f329(a117,x58783)),x58781),f329(f329(f83(a908),f329(a117,x58783)),x58782))
% 191.26/191.45 [5879]~E(x58792,f329(f329(f82(a1),x58791),f329(f105(a1),f329(a117,x58793))))+P1(f329(f329(f241(a1),x58791),x58792))
% 191.26/191.45 [5992]~E(x59923,f118(x59921))+E(f329(f329(f329(f186(f909(x59921),f909(x59921)),x59922),f170(x59921)),x59923),f118(x59921))
% 191.26/191.45 [5996]P1(f329(x59961,x59962))+~P1(f329(f329(f331(x59963),x59962),f329(f267(x59963),x59961)))
% 191.26/191.45 [6026]E(x60261,x60262)+~E(f329(f329(f311(x60263),x60261),f191(f916(x60263,a903))),f329(f329(f311(x60263),x60262),f191(f916(x60263,a903))))
% 191.26/191.45 [6040]~P114(x60401)+E(f329(f329(f106(f916(x60401,a903)),f329(f285(x60401),x60402)),f329(f304(x60401,x60402),x60403)),f191(f916(x60401,a903)))
% 191.26/191.45 [6080]E(f143(x60801,x60802,x60803),x60803)+~P1(f329(f329(f331(x60801),x60802),f329(f175(x60801),x60803)))
% 191.26/191.45 [6105]~P86(x61051)+E(f329(f312(x61051,x61051,f81(x61051)),f329(f304(x61051,x61052),x61053)),f307(x61051,f329(f81(x61051),x61053),f329(f81(x61051),x61052)))
% 191.26/191.45 [6116]E(f329(f192(f909(x61161)),f173(x61161,x61162,x61163)),f329(f192(f909(x61161)),x61163))+P1(f329(f329(f331(x61161),x61162),f329(f175(x61161),x61163)))
% 191.26/191.45 [6170]~P114(x61701)+E(f329(f329(f106(f916(x61701,a903)),f329(f304(x61701,x61702),x61703)),f329(f286(x61701),x61703)),f191(f916(x61701,a903)))
% 191.26/191.45 [6190]~P86(x61901)+E(f329(f312(x61901,x61901,f81(x61901)),f308(x61901,x61902,x61903)),f308(x61901,f329(f81(x61901),x61903),f329(f81(x61901),x61902)))
% 191.26/191.45 [6191]~P86(x61911)+E(f329(f312(x61911,x61911,f81(x61911)),f305(x61911,x61912,x61913)),f305(x61911,f329(f81(x61911),x61913),f329(f81(x61911),x61912)))
% 191.26/191.45 [6256]E(f179(x62561,f329(f329(f154(x62561),x62562),f118(x62561)),x62563),f329(f329(f154(x62561),x62562),f118(x62561)))+~P1(f329(f329(f331(a908),f2(a908)),x62563))
% 191.26/191.45 [6263]~P86(x62631)+E(f329(f312(x62631,x62631,f81(x62631)),f307(x62631,x62632,x62633)),f329(f304(x62631,f329(f81(x62631),x62633)),f329(f81(x62631),x62632)))
% 191.26/191.45 [6283]~P69(x62831)+E(f46(x62831,f329(f81(x62831),f46(x62831,x62832,x62833)),x62833),f46(x62831,f329(f81(x62831),x62832),x62833))
% 191.26/191.45 [6378]~P1(f329(f62(f915(x63782,x63781)),x63783))+P1(f329(f62(x63781),f329(f287(x63782,x63781),x63783)))
% 191.26/191.45 [6379]~P1(f329(f62(f915(x63791,x63792)),x63793))+P1(f329(f62(x63791),f329(f269(x63791,x63792),x63793)))
% 191.26/191.45 [6384]~P114(x63841)+E(f329(f329(f106(f916(x63841,a903)),f308(x63841,x63842,x63843)),f329(f286(x63841),x63843)),f191(f916(x63841,a903)))
% 191.26/191.45 [6385]~P114(x63851)+E(f329(f329(f106(f916(x63851,a903)),f307(x63851,x63852,x63853)),f329(f306(x63851),x63853)),f191(f916(x63851,a903)))
% 191.26/191.45 [6386]~P114(x63861)+E(f329(f329(f106(f916(x63861,a903)),f305(x63861,x63862,x63863)),f329(f306(x63861),x63863)),f191(f916(x63861,a903)))
% 191.26/191.45 [6455]E(f329(f329(f167(x64551),x64552),f659(x64552,x64553,x64551)),x64553)+~P1(f329(f329(f331(x64551),x64553),f329(f175(x64551),x64552)))
% 191.26/191.45 [6598]E(x65981,f118(x65982))+~E(f329(f329(f329(f186(f909(x65982),f909(x65982)),x65983),f170(x65982)),x65981),f118(x65982))
% 191.26/191.45 [6675]P48(x66751,x66752,f568(x66753,x66752,x66751),x66753)+~P1(f329(f329(f197(x66751),x66752),x66753))
% 191.26/191.45 [6705]~P1(f329(f62(f915(x67052,x67051)),x67053))+P1(f329(f62(f915(x67051,x67052)),f329(f289(x67052,x67051),x67053)))
% 191.26/191.45 [6854]P63(x68541,x68542,x68543)+P1(f329(f329(f331(x68541),f581(x68543,x68542,x68541)),x68542))
% 191.26/191.45 [6855]P63(x68551,x68552,x68553)+P1(f329(f329(f331(x68551),f580(x68553,x68552,x68551)),x68552))
% 191.26/191.45 [6866]P1(f329(f317(x68661,x68662),x68663))+P1(f329(f329(x68662,f355(x68663,x68662,x68661)),x68663))
% 191.26/191.45 [6867]P1(f329(f317(x68671,x68672),x68673))+P1(f329(f329(x68672,f366(x68673,x68672,x68671)),x68673))
% 191.26/191.45 [6898]E(f329(f192(f909(x68981)),f173(x68981,x68982,x68983)),f329(f329(f23(a908),f329(f192(f909(x68981)),x68983)),f80(a908)))+~P1(f329(f329(f331(x68981),x68982),f329(f175(x68981),x68983)))
% 191.26/191.45 [6937]P1(f329(f253(x69371,x69372),x69373))+P1(f329(f329(f331(x69371),f354(x69373,x69372,x69371)),x69373))
% 191.26/191.45 [6946]~P1(f329(f62(f915(x69462,x69461)),f329(f289(x69461,x69462),x69463)))+P1(f329(f62(f915(x69461,x69462)),x69463))
% 191.26/191.45 [7001]~P1(f329(f329(f331(x70011),x70012),f329(f175(x70011),f119(x70011,x70013))))+P1(f329(f329(f331(x70011),x70012),f329(f175(x70011),x70013)))
% 191.26/191.46 [7006]P34(x70061,x70062,x70063)+P1(f329(f329(f331(f907(x70061)),f858(x70063,x70062,x70061)),x70063))
% 191.26/191.46 [7037]E(f329(f139(x70371,x70372),x70373),x70373)+P1(f329(f329(f331(x70371),f723(x70373,x70372,x70371)),f329(f175(x70371),x70373)))
% 191.26/191.46 [7051]E(f329(f139(x70511,x70512),x70513),f118(x70511))+P1(f329(f329(f331(x70511),f722(x70513,x70512,x70511)),f329(f175(x70511),x70513)))
% 191.26/191.46 [7075]P37(x70751,x70752,x70753)+P1(f329(f329(f331(x70751),f784(x70753,x70752,x70751)),f329(f175(x70751),x70753)))
% 191.26/191.46 [7076]P37(x70761,x70762,x70763)+P1(f329(f329(f331(x70761),f791(x70763,x70762,x70761)),f329(f175(x70761),x70763)))
% 191.26/191.46 [7077]P37(x70771,x70772,x70773)+P1(f329(f329(f331(x70771),f790(x70772,x70773,x70771)),f329(f175(x70771),x70773)))
% 191.26/191.46 [7080]E(f180(x70801,x70802,x70803),x70803)+P1(f329(f329(f331(x70801),f742(x70803,x70802,x70801)),f329(f175(x70801),x70803)))
% 191.26/191.46 [7155]P1(f329(f163(x71551,x71552),x71553))+P1(f329(f329(f331(x71551),f698(x71553,x71552,x71551)),f329(f175(x71551),x71553)))
% 191.26/191.46 [7164]~P39(x71641,x71643,x71642)+P1(f329(f329(f331(x71641),f775(x71642,x71643,x71641)),f329(f175(x71641),x71642)))
% 191.26/191.46 [7165]~P41(x71651,x71653,x71652)+P1(f329(f329(f331(x71651),f783(x71652,x71653,x71651)),f329(f175(x71651),x71652)))
% 191.26/191.46 [7166]~P41(x71661,x71663,x71662)+P1(f329(f329(f331(x71661),f793(x71662,x71663,x71661)),f329(f175(x71661),x71662)))
% 191.26/191.46 [7167]~P39(x71671,x71673,x71672)+P1(f329(f329(f331(x71671),f820(x71672,x71673,x71671)),f329(f175(x71671),x71672)))
% 191.26/191.46 [7168]~P39(x71681,x71682,x71683)+P1(f329(f329(f331(x71681),f821(x71682,x71683,x71681)),f329(f175(x71681),x71683)))
% 191.26/191.46 [7202]P1(f329(f329(f331(x72021),x72022),f661(x72023,x72022,x72021)))+~P1(f329(f329(f331(x72021),x72022),f38(f916(x72021,a903),x72023)))
% 191.26/191.46 [7203]~P5(x72031)+E(f329(f329(f82(x72031),f329(f329(f6(a908,x72031),x72032),f329(f285(a908),x72033))),f329(x72032,x72033)),f329(f329(f6(a908,x72031),x72032),f329(f285(a908),f329(a117,x72033))))
% 191.26/191.46 [7293]~P39(x72932,x72931,x72933)+P1(f329(x72931,f329(f329(f167(x72932),x72933),f779(x72933,x72931,x72932))))
% 191.26/191.46 [7306]~P1(f329(f329(f331(x73061),x73062),f649(x73062,x73063,x73061)))+P1(f329(f329(f331(x73061),x73062),f39(f916(x73061,a903),x73063)))
% 191.26/191.46 [7339]~P5(x73391)+E(f329(f329(f82(x73391),f329(f329(f6(a908,x73391),x73392),f329(f303(a908),x73393))),f329(x73392,f329(a117,x73393))),f329(f329(f6(a908,x73391),x73392),f329(f303(a908),f329(a117,x73393))))
% 191.26/191.46 [7485]P1(f329(f329(f331(f909(x74851)),x74852),f164(x74851,x74853)))+P1(f329(f329(f331(x74851),f684(x74853,x74852,x74851)),f329(f175(x74851),x74852)))
% 191.26/191.46 [7499]~P1(f329(f329(f331(f909(x74991)),x74992),f164(x74991,f318(x74991,x74993))))+P1(f329(f329(f331(f909(x74991)),x74992),f318(f909(x74991),f160(x74991,x74993))))
% 191.26/191.46 [7527]~P1(f329(f329(f331(f909(x75271)),x75272),f318(f909(x75271),f160(x75271,x75273))))+P1(f329(f329(f331(f909(x75271)),x75272),f164(x75271,f318(x75271,x75273))))
% 191.26/191.46 [7563]E(f329(f329(f329(f186(f909(x75631),f909(x75631)),x75632),f170(x75631)),x75633),x75633)+~P1(f329(f329(f240(a908),f329(f192(f909(x75631)),x75633)),f80(a908)))
% 191.26/191.46 [7597]E(f329(f329(f137(x75971),f786(x75972,x75973,x75971)),f329(f329(f154(x75971),x75973),f787(x75972,x75973,x75971))),x75972)+~P1(f329(f329(f331(x75971),x75973),f329(f175(x75971),x75972)))
% 191.26/191.46 [7598]E(f329(f329(f137(x75981),f780(x75982,x75983,x75981)),f329(f329(f154(x75981),x75983),f782(x75982,x75983,x75981))),x75982)+~P1(f329(f329(f331(x75981),x75983),f329(f175(x75981),x75982)))
% 191.26/191.46 [7599]E(f329(f329(f137(x75991),f788(x75992,x75993,x75991)),f329(f329(f154(x75991),x75993),f789(x75992,x75993,x75991))),x75992)+~P1(f329(f329(f331(x75991),x75993),f329(f175(x75991),x75992)))
% 191.26/191.46 [7621]~P30(x76211,x76212,x76213,f247(f916(x76211,a903)))+P30(f909(x76211),f909(x76212),f329(f157(x76211,x76212),x76213),f247(f916(f909(x76211),a903)))
% 191.26/191.46 [7768]E(x77681,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),x77682)),x77683)),f329(f261(a908,a908),x77682)))+~P1(f329(f49(x77681,x77683),x77682))
% 191.26/191.46 [7776]P30(x77761,x77762,x77763,f247(f916(x77761,a903)))+~P30(f909(x77761),f909(x77762),f329(f157(x77761,x77762),x77763),f247(f916(f909(x77761),a903)))
% 191.26/191.46 [7820]P1(f329(f329(f331(f916(x78201,a903)),f649(x78202,x78203,x78201)),x78203))+P1(f329(f329(f331(x78201),x78202),f39(f916(x78201,a903),x78203)))
% 191.26/191.46 [7913]P1(f329(f329(f331(f909(x79131)),x79132),f164(x79131,x79133)))+~P1(f329(f329(f331(x79131),f684(x79133,x79132,x79131)),x79133))
% 191.26/191.46 [8020]P37(x80201,x80202,x80203)+~P1(f329(x80202,f329(f329(f167(x80201),x80203),f785(x80203,x80202,x80201))))
% 191.26/191.46 [8044]E(x80441,x80442)+~E(f329(f329(f7(x80443,f916(x80443,a903),a903),f331(x80443)),x80441),f329(f329(f7(x80443,f916(x80443,a903),a903),f331(x80443)),x80442))
% 191.26/191.46 [8052]~P1(f329(f329(f331(f915(x80521,x80521)),x80523),f268(x80521,x80522)))+P1(f329(f329(f331(x80521),f460(x80522,x80523,x80521)),x80522))
% 191.26/191.46 [8054]~P1(f329(f329(f331(x80541),x80543),f38(f916(x80541,a903),x80542)))+P1(f329(f329(f331(f916(x80541,a903)),f661(x80542,x80543,x80541)),x80542))
% 191.26/191.46 [8184]P30(x81841,x81842,f94(x81842,x81841,f247(f916(x81842,a903)),x81843),f247(f916(x81841,a903)))+~E(f329(f312(x81842,x81841,x81843),f247(f916(x81842,a903))),f247(f916(x81841,a903)))
% 191.26/191.46 [8241]~P1(f329(f329(f331(x82411),x82412),f329(f175(x82411),f780(x82413,x82412,x82411))))+~P1(f329(f329(f331(x82411),x82412),f329(f175(x82411),x82413)))
% 191.26/191.46 [8242]~P1(f329(f329(f331(x82421),x82422),f329(f175(x82421),f789(x82423,x82422,x82421))))+~P1(f329(f329(f331(x82421),x82422),f329(f175(x82421),x82423)))
% 191.26/191.46 [8430]E(x84301,f118(x84302))+P1(f329(f329(f331(x84302),f329(f256(x84302,f915(a104,a104)),f329(f278(x84302,x84301),x84303))),f329(f175(x84302),x84301)))
% 191.26/191.46 [8526]~P8(x85261)+E(f329(f145(x85261,x85261,f329(f7(x85261,x85261,x85261),f82(x85261)),x85262),f329(f171(x85261),x85263)),f329(f145(x85261,x85261,f82(x85261),x85262),x85263))
% 191.26/191.46 [8731]~P30(x87312,x87311,x87313,f247(f916(x87312,a903)))+E(f329(f312(x87311,x87312,f94(x87312,x87311,f247(f916(x87312,a903)),x87313)),f247(f916(x87311,a903))),f247(f916(x87312,a903)))
% 191.26/191.46 [9031]~P112(x90311)+E(f329(f175(x90311),f152(x90311,x90311,f5(x90311),x90312,x90313)),f329(f329(f311(x90311),x90312),f329(f175(x90311),x90313)))
% 191.26/191.46 [9042]~E(f329(x90423,f329(f94(x90421,x90422,f247(f916(x90421,a903)),x90423),f836(x90423,x90422,x90421))),f836(x90423,x90422,x90421))+E(f329(f312(x90421,x90422,x90423),f247(f916(x90421,a903))),f247(f916(x90422,a903)))
% 191.26/191.46 [9044]P1(f329(f329(f241(a908),f2(a908)),f603(x90441,x90442,x90443)))+~P1(f329(f329(f331(f915(x90443,x90443)),x90442),f329(f329(f291(x90443,x90443,x90443),x90441),f309(x90443,x90441))))
% 191.26/191.46 [9335]~P65(x93351,x93352)+~P1(f329(f329(f331(f915(x93351,x93351)),f329(f329(f257(x93351,x93351),x93353),x93353)),f329(f329(f291(x93351,x93351,x93351),x93352),f309(x93351,x93352))))
% 191.26/191.46 [9465]~E(f329(f329(f106(f916(f915(x94651,x94651),a903)),f329(f289(x94651,x94651),x94652)),f309(x94651,x94652)),f191(f916(f915(x94651,x94651),a903)))+~P1(f329(f329(f331(f915(x94651,x94651)),f329(f329(f257(x94651,x94651),x94653),x94653)),f329(f329(f291(x94651,x94651,x94651),x94652),f309(x94651,x94652))))
% 191.26/191.46 [9647]~P1(f329(f62(x96471),x96472))+P1(f329(f329(f240(a908),f329(f36(x96471),f329(f329(f23(f916(x96471,a903)),x96472),f329(f329(f311(x96471),x96473),f191(f916(x96471,a903)))))),f329(f36(x96471),x96472)))
% 191.26/191.46 [5159]~E(x51593,f118(x51591))+E(f147(x51591,f329(f329(f154(x51591),x51592),x51593)),x51592)
% 191.26/191.46 [5167]~E(x51673,f118(x51671))+E(f119(x51671,f329(f329(f154(x51671),x51672),x51673)),f118(x51671))
% 191.26/191.46 [5199]E(x51991,f118(x51992))+E(f147(x51992,f329(f329(f154(x51992),x51993),x51991)),f147(x51992,x51991))
% 191.26/191.46 [5201]E(x52011,f118(x52012))+E(f147(x52012,f329(f329(f137(x52012),x52013),x52011)),f147(x52012,x52011))
% 191.26/191.46 [5208]~E(x52083,f118(x52081))+E(f119(x52081,f329(f329(f137(x52081),x52082),x52083)),f119(x52081,x52082))
% 191.26/191.46 [5210]~E(x52103,f118(x52101))+E(f147(x52101,f329(f329(f137(x52101),x52102),x52103)),f147(x52101,x52102))
% 191.26/191.46 [5245]E(x52451,f118(x52452))+E(f329(f144(x52452),f329(f329(f137(x52452),x52451),x52453)),f329(f144(x52452),x52451))
% 191.26/191.46 [5274]~E(x52742,f118(x52741))+E(f329(f144(x52741),f329(f329(f137(x52741),x52742),x52743)),f329(f144(x52741),x52743))
% 191.26/191.46 [5325]~P2(x53251)+E(f329(f329(f115(x53251),x53252),f329(f329(f106(x53251),x53252),x53253)),x53252)
% 191.26/191.46 [5326]~P2(x53261)+E(f329(f329(f106(x53261),x53262),f329(f329(f115(x53261),x53262),x53263)),x53262)
% 191.26/191.46 [5327]~P112(x53271)+E(f329(f329(f238(x53271),x53272),f329(f329(f239(x53271),x53272),x53273)),x53272)
% 191.26/191.46 [5328]~P112(x53281)+E(f329(f329(f239(x53281),x53282),f329(f329(f238(x53281),x53282),x53283)),x53282)
% 191.26/191.46 [5347]~P68(x53471)+E(f46(x53471,f329(f329(f83(x53471),x53472),x53473),x53473),f2(x53471))
% 191.26/191.46 [5348]~P68(x53481)+E(f46(x53481,f329(f329(f83(x53481),x53482),x53483),x53482),f2(x53481))
% 191.26/191.46 [5421]~P75(x54211)+E(f329(f81(x54211),f329(f329(f23(x54211),x54212),x54213)),f329(f329(f23(x54211),x54213),x54212))
% 191.26/191.46 [5482]E(x54821,f118(x54822))+E(f119(x54822,f329(f329(f154(x54822),x54823),x54821)),f329(f329(f154(x54822),x54823),f119(x54822,x54821)))
% 191.26/191.46 [5483]E(x54831,f118(x54832))+E(f119(x54832,f329(f329(f137(x54832),x54833),x54831)),f329(f329(f137(x54832),x54833),f119(x54832,x54831)))
% 191.26/191.46 [5486]~P10(x54861)+E(f39(x54861,f329(f329(f311(x54861),x54862),x54863)),f329(f329(f106(x54861),x54862),f39(x54861,x54863)))
% 191.26/191.46 [5487]~P10(x54871)+E(f38(x54871,f329(f329(f311(x54871),x54872),x54873)),f329(f329(f115(x54871),x54872),f38(x54871,x54873)))
% 191.26/191.46 [5530]~P2(x55301)+E(f329(f329(f115(x55301),x55302),f329(f329(f115(x55301),x55302),x55303)),f329(f329(f115(x55301),x55302),x55303))
% 191.26/191.46 [5532]~P103(x55321)+E(f329(f329(f115(x55321),x55322),f329(f329(f115(x55321),x55322),x55323)),f329(f329(f115(x55321),x55322),x55323))
% 191.26/191.46 [5533]~P2(x55331)+E(f329(f329(f106(x55331),x55332),f329(f329(f106(x55331),x55332),x55333)),f329(f329(f106(x55331),x55332),x55333))
% 191.26/191.46 [5535]~P104(x55351)+E(f329(f329(f106(x55351),x55352),f329(f329(f106(x55351),x55352),x55353)),f329(f329(f106(x55351),x55352),x55353))
% 191.26/191.46 [5536]~P99(x55361)+E(f329(f329(f83(x55361),x55362),f329(f329(f83(x55361),x55362),x55363)),f329(f329(f83(x55361),x55362),x55363))
% 191.26/191.46 [5538]~P112(x55381)+E(f329(f329(f238(x55381),x55382),f329(f329(f238(x55381),x55382),x55383)),f329(f329(f238(x55381),x55382),x55383))
% 191.26/191.46 [5540]~P112(x55401)+E(f329(f329(f239(x55401),x55402),f329(f329(f239(x55401),x55402),x55403)),f329(f329(f239(x55401),x55402),x55403))
% 191.26/191.46 [5547]~P68(x55471)+E(f46(x55471,f329(f329(f82(x55471),x55472),x55473),x55473),f46(x55471,x55472,x55473))
% 191.26/191.46 [5548]~P68(x55481)+E(f46(x55481,f329(f329(f82(x55481),x55482),x55483),x55482),f46(x55481,x55483,x55482))
% 191.26/191.46 [5556]~P130(x55561)+E(f329(f329(f83(x55561),x55562),f329(f81(x55561),x55563)),f329(f81(x55561),f329(f329(f83(x55561),x55562),x55563)))
% 191.26/191.46 [5557]~P71(x55571)+E(f329(f329(f292(x55571),x55572),f329(f81(x55571),x55573)),f329(f81(x55571),f329(f329(f292(x55571),x55572),x55573)))
% 191.26/191.46 [5558]~P4(x55581)+E(f329(f329(f82(x55581),x55582),f329(f168(x55581),x55583)),f329(f168(x55581),f329(f329(f154(x55581),x55582),x55583)))
% 191.26/191.46 [5586]~P130(x55861)+E(f329(f329(f83(x55861),f329(f81(x55861),x55862)),x55863),f329(f329(f83(x55861),x55862),f329(f81(x55861),x55863)))
% 191.26/191.46 [5592]~P13(x55921,x55922,x55923)+E(f38(f916(x55921,a903),f329(f329(f61(x55921),x55922),x55923)),x55922)
% 191.26/191.46 [5657]~P118(x56571)+E(f329(f329(f83(x56571),x56572),f329(f329(f249(x56571),x56572),x56573)),f329(f329(f249(x56571),x56572),f329(a117,x56573)))
% 191.26/191.46 [5658]~P116(x56581)+E(f329(f329(f83(x56581),x56582),f329(f329(f249(x56581),x56582),x56583)),f329(f329(f249(x56581),x56582),f329(a117,x56583)))
% 191.26/191.46 [5668]~P79(x56681)+E(f329(f329(f82(x56681),f329(f81(x56681),x56682)),f329(f329(f82(x56681),x56682),x56683)),x56683)
% 191.26/191.46 [5691]~P109(x56911)+E(f329(f329(f249(x56911),f329(f105(x56911),x56912)),x56913),f329(f105(x56911),f329(f329(f249(a908),x56912),x56913)))
% 191.26/191.46 [5692]~P120(x56921)+E(f329(f329(f249(x56921),f329(f107(x56921),x56922)),x56923),f329(f107(x56921),f329(f329(f249(a1),x56922),x56923)))
% 191.26/191.46 [5698]~P89(x56981)+E(f329(f77(x56981),f329(f329(f23(x56981),x56982),x56983)),f329(f77(x56981),f329(f329(f23(x56981),x56983),x56982)))
% 191.26/191.46 [5701]~P121(x57011)+E(f329(f329(f83(x57011),f84(x57011,x57012)),f84(x57011,x57013)),f84(x57011,f329(f329(f83(x57011),x57012),x57013)))
% 191.26/191.46 [5705]E(x57051,f118(x57052))+E(f329(f329(f137(x57052),f329(f174(x57052),x57051)),x57053),f329(f174(x57052),f329(f329(f137(x57052),x57051),x57053)))
% 191.26/191.46 [5710]~E(x57102,f329(a117,f329(f329(f82(a908),x57101),x57103)))+P1(f329(f329(f241(a908),x57101),x57102))
% 191.26/191.46 [5711]~P130(x57111)+E(f329(f329(f83(x57111),f329(f81(x57111),x57112)),x57113),f329(f81(x57111),f329(f329(f83(x57111),x57112),x57113)))
% 191.26/191.46 [5712]~P124(x57121)+E(f329(f329(f292(x57121),f329(f81(x57121),x57122)),x57123),f329(f81(x57121),f329(f329(f292(x57121),x57122),x57123)))
% 191.26/191.46 [5713]~P121(x57131)+E(f329(f329(f249(x57131),f329(f77(x57131),x57132)),x57133),f329(f77(x57131),f329(f329(f249(x57131),x57132),x57133)))
% 191.26/191.46 [5812]E(f845(x58121,x58122,x58123),f856(x58121,x58122,x58123))+E(f329(f329(f106(f916(x58123,a903)),x58122),x58121),f191(f916(x58123,a903)))
% 191.26/191.46 [5827]~P80(x58272)+E(f329(f329(f9(x58271,x58272),f329(f16(x58272,x58271),f80(x58272))),x58273),f80(x58272))
% 191.26/191.46 [5828]~P5(x58282)+E(f329(f329(f6(x58281,x58282),f329(f16(x58282,x58281),f2(x58282))),x58283),f2(x58282))
% 191.26/191.46 [5831]~P97(x58311)+E(f329(f329(f23(x58311),f329(f108(x58311),x58312)),f329(f108(x58311),x58313)),f329(f108(x58311),f329(f329(f23(a1),x58312),x58313)))
% 191.26/191.46 [5833]~P109(x58331)+E(f329(f329(f82(x58331),f329(f105(x58331),x58332)),f329(f105(x58331),x58333)),f329(f105(x58331),f329(f329(f82(a908),x58332),x58333)))
% 191.26/191.46 [5834]~P109(x58341)+E(f329(f329(f83(x58341),f329(f105(x58341),x58342)),f329(f105(x58341),x58343)),f329(f105(x58341),f329(f329(f83(a908),x58342),x58343)))
% 191.26/191.46 [5835]~P120(x58351)+E(f329(f329(f82(x58351),f329(f107(x58351),x58352)),f329(f107(x58351),x58353)),f329(f107(x58351),f329(f329(f82(a1),x58352),x58353)))
% 191.26/191.46 [5836]~P120(x58361)+E(f329(f329(f23(x58361),f329(f107(x58361),x58362)),f329(f107(x58361),x58363)),f329(f107(x58361),f329(f329(f23(a1),x58362),x58363)))
% 191.26/191.46 [5837]~P120(x58371)+E(f329(f329(f83(x58371),f329(f107(x58371),x58372)),f329(f107(x58371),x58373)),f329(f107(x58371),f329(f329(f83(a1),x58372),x58373)))
% 191.26/191.46 [5838]~P97(x58381)+E(f329(f329(f82(x58381),f329(f108(x58381),x58382)),f329(f108(x58381),x58383)),f329(f108(x58381),f329(f329(f82(a1),x58382),x58383)))
% 191.26/191.46 [5839]~P97(x58391)+E(f329(f329(f83(x58391),f329(f108(x58391),x58392)),f329(f108(x58391),x58393)),f329(f108(x58391),f329(f329(f83(a1),x58392),x58393)))
% 191.26/191.46 [5886]~E(x58863,x58862)+P1(f329(f329(f240(f916(x58861,a903)),x58862),x58863))
% 191.26/191.46 [5892]~E(x58922,x58923)+P1(f329(f329(f240(f916(x58921,a903)),x58922),x58923))
% 191.26/191.46 [5897]~P98(x58971)+E(f329(f329(f106(x58971),f329(f81(x58971),x58972)),f329(f81(x58971),x58973)),f329(f81(x58971),f329(f329(f115(x58971),x58972),x58973)))
% 191.26/191.46 [5898]~P79(x58981)+E(f329(f329(f82(x58981),f329(f81(x58981),x58982)),f329(f81(x58981),x58983)),f329(f81(x58981),f329(f329(f82(x58981),x58983),x58982)))
% 191.26/191.46 [5899]~P75(x58991)+E(f329(f329(f82(x58991),f329(f81(x58991),x58992)),f329(f81(x58991),x58993)),f329(f81(x58991),f329(f329(f82(x58991),x58992),x58993)))
% 191.26/191.46 [5900]~P98(x59001)+E(f329(f329(f115(x59001),f329(f81(x59001),x59002)),f329(f81(x59001),x59003)),f329(f81(x59001),f329(f329(f106(x59001),x59002),x59003)))
% 191.26/191.46 [5901]~P78(x59011)+E(f329(f329(f239(x59011),f329(f81(x59011),x59012)),f329(f81(x59011),x59013)),f329(f81(x59011),f329(f329(f238(x59011),x59012),x59013)))
% 191.26/191.46 [5902]~P78(x59021)+E(f329(f329(f238(x59021),f329(f81(x59021),x59022)),f329(f81(x59021),x59023)),f329(f81(x59021),f329(f329(f239(x59021),x59022),x59023)))
% 191.26/191.46 [5903]~P121(x59031)+E(f329(f329(f83(x59031),f329(f77(x59031),x59032)),f329(f77(x59031),x59033)),f329(f77(x59031),f329(f329(f83(x59031),x59032),x59033)))
% 191.26/191.46 [5904]~P73(x59041)+E(f329(f329(f292(x59041),f329(f77(x59041),x59042)),f329(f77(x59041),x59043)),f329(f77(x59041),f329(f329(f292(x59041),x59042),x59043)))
% 191.26/191.46 [5905]~P4(x59051)+E(f329(f329(f82(x59051),f329(f168(x59051),x59052)),f329(f168(x59051),x59053)),f329(f168(x59051),f329(f329(f137(x59051),x59052),x59053)))
% 191.26/191.46 [5906]E(x59061,f191(f916(x59062,a903)))+~E(f329(f329(f115(f916(x59062,a903)),x59063),x59061),f191(f916(x59062,a903)))
% 191.26/191.46 [5907]E(x59071,f191(f916(x59072,a903)))+~E(f329(f329(f115(f916(x59072,a903)),x59071),x59073),f191(f916(x59072,a903)))
% 191.26/191.46 [5908]~P149(x59081,x59082,x59083)+P1(f329(x59081,f329(f329(f37(a1),x59082),x59083)))
% 191.26/191.46 [5966]~P1(f329(f62(x59661),x59663))+P1(f329(f62(x59661),f329(f329(f311(x59661),x59662),x59663)))
% 191.26/191.46 [5967]~P1(f329(f140(x59671),x59673))+P1(f329(f140(x59671),f329(f329(f178(x59671),x59672),x59673)))
% 191.26/191.46 [5968]~P1(f329(f140(x59681),x59683))+P1(f329(f140(x59681),f329(f329(f141(x59681),x59682),x59683)))
% 191.26/191.46 [5997]~P2(x59971)+P1(f329(f329(f240(x59971),x59972),f329(f329(f115(x59971),x59973),x59972)))
% 191.26/191.46 [5998]~P103(x59981)+P1(f329(f329(f240(x59981),x59982),f329(f329(f115(x59981),x59983),x59982)))
% 191.26/191.46 [5999]~P2(x59991)+P1(f329(f329(f240(x59991),x59992),f329(f329(f115(x59991),x59992),x59993)))
% 191.26/191.46 [6000]~P103(x60001)+P1(f329(f329(f240(x60001),x60002),f329(f329(f115(x60001),x60002),x60003)))
% 191.26/191.46 [6001]~P112(x60011)+P1(f329(f329(f240(x60011),x60012),f329(f329(f239(x60011),x60013),x60012)))
% 191.26/191.46 [6002]~P112(x60021)+P1(f329(f329(f240(x60021),x60022),f329(f329(f239(x60021),x60022),x60023)))
% 191.26/191.46 [6016]~E(x60161,f2(a908))+E(f329(f329(f37(a908),f329(f329(f83(a908),x60161),x60162)),f329(f329(f83(a908),x60161),x60163)),f2(a908))
% 191.26/191.46 [6083]P1(f329(x60831,x60832))+P1(f329(f329(f197(f31(x60831,x60833)),x60832),x60832))
% 191.26/191.46 [6099]~P97(x60991)+E(f329(f329(f23(x60991),f329(f108(x60991),x60992)),f329(f108(x60991),x60993)),f329(f108(x60991),f329(f329(f82(a1),x60992),f329(f81(a1),x60993))))
% 191.26/191.46 [6157]E(x61571,f2(a908))+E(f329(f329(f37(a908),f329(f329(f83(a908),x61571),x61572)),f329(f329(f83(a908),x61571),x61573)),f329(f329(f37(a908),x61572),x61573))
% 191.26/191.46 [6188]E(f155(x61881,f329(f329(f154(x61881),x61882),x61883)),f329(f329(f154(x61881),x61882),f155(x61881,x61883)))+P1(f329(f329(f331(x61881),x61882),f329(f175(x61881),x61883)))
% 191.26/191.46 [6225]P149(x62251,x62252,x62253)+~P1(f329(x62251,f329(f329(f37(a1),x62252),x62253)))
% 191.26/191.46 [6296]E(x62961,f118(x62962))+E(f329(f329(f154(x62962),f329(f144(x62962),x62961)),f329(f329(f178(x62962),x62963),f329(f174(x62962),x62961))),f329(f329(f178(x62962),f329(a117,x62963)),x62961))
% 191.26/191.46 [6303]E(f329(f329(f23(f916(x63031,a903)),x63032),x63033),x63032)+~E(f329(f329(f106(f916(x63031,a903)),x63032),x63033),f191(f916(x63031,a903)))
% 191.26/191.46 [6318]E(f155(x63181,f329(f329(f154(x63181),x63182),x63183)),f155(x63181,x63183))+~P1(f329(f329(f331(x63181),x63182),f329(f175(x63181),x63183)))
% 191.26/191.46 [6348]~P1(f329(f329(f240(a908),x63481),x63483))+P1(f329(f329(f240(a908),x63481),f329(f329(f82(a908),x63482),x63483)))
% 191.26/191.46 [6350]~P1(f329(f329(f240(a908),x63501),x63502))+P1(f329(f329(f240(a908),x63501),f329(f329(f82(a908),x63502),x63503)))
% 191.26/191.46 [6352]~P1(f329(f329(f241(a908),x63521),x63523))+P1(f329(f329(f241(a908),x63521),f329(f329(f82(a908),x63522),x63523)))
% 191.26/191.46 [6354]~P1(f329(f329(f241(a908),x63541),x63542))+P1(f329(f329(f241(a908),x63541),f329(f329(f82(a908),x63542),x63543)))
% 191.26/191.46 [6392]P1(f329(f62(x63921),x63922))+~P1(f329(f62(x63921),f329(f329(f311(x63921),x63923),x63922)))
% 191.26/191.46 [6393]P1(f329(f140(x63931),x63932))+~P1(f329(f140(x63931),f329(f329(f154(x63931),x63933),x63932)))
% 191.26/191.46 [6394]P1(f329(f140(x63941),x63942))+~P1(f329(f140(x63941),f329(f329(f137(x63941),x63943),x63942)))
% 191.26/191.46 [6395]P1(f329(f140(x63951),x63952))+~P1(f329(f140(x63951),f329(f329(f137(x63951),x63952),x63953)))
% 191.26/191.46 [6444]~P116(x64441)+E(f329(f329(f82(x64441),x64442),f329(f329(f83(x64441),x64443),x64442)),f329(f329(f83(x64441),f329(f329(f82(x64441),x64443),f80(x64441))),x64442))
% 191.26/191.46 [6491]~E(x64911,x64912)+~P1(f329(f329(f241(f916(x64913,a903)),x64911),x64912))
% 191.26/191.46 [6538]P1(f329(f329(f331(x65381),x65382),x65383))+P1(f329(f329(f331(x65381),x65382),f329(f81(f916(x65381,a903)),x65383)))
% 191.26/191.46 [6544]E(f147(x65441,f329(f329(f141(x65441),x65442),x65443)),f147(x65441,x65443))+~P1(f329(f329(f241(a908),x65442),f329(f192(f909(x65441)),x65443)))
% 191.26/191.46 [6545]E(f329(f329(f178(x65451),x65452),f119(x65451,x65453)),f329(f329(f178(x65451),x65452),x65453))+~P1(f329(f329(f241(a908),x65452),f329(f192(f909(x65451)),x65453)))
% 191.26/191.46 [6600]E(f329(f329(f329(f186(f909(x66001),f909(x66001)),x66002),f170(x66001)),x66003),x66003)+~E(f46(a908,x66002,f329(f192(f909(x66001)),x66003)),f2(a908))
% 191.26/191.46 [6609]~P13(x66091,x66093,x66092)+E(f329(f329(f291(x66091,x66091,x66091),f329(f289(x66091,x66091),x66092)),x66092),x66092)
% 191.26/191.46 [6651]~E(f329(f329(f115(f916(x66511,a903)),x66512),x66513),x66513)+P1(f329(f329(f240(f916(x66511,a903)),x66512),x66513))
% 191.26/191.46 [6656]~P62(x66561,x66561,x66563)+P62(x66561,x66561,f329(f329(f186(f915(x66561,x66561),a903),x66562),x66563))
% 191.26/191.46 [6659]~P1(f329(f329(f331(x66591),x66593),f329(f175(x66591),x66592)))+P1(f329(f329(f241(a908),f2(a908)),f329(f192(f909(x66591)),x66592)))
% 191.26/191.46 [6686]~P89(x66861)+E(f329(f77(x66861),f329(f329(f82(x66861),f329(f77(x66861),x66862)),f329(f77(x66861),x66863))),f329(f329(f82(x66861),f329(f77(x66861),x66862)),f329(f77(x66861),x66863)))
% 191.26/191.46 [6697]E(f329(f329(f37(a908),f329(f329(f83(a908),x66971),x66972)),f329(f329(f83(a908),x66971),x66973)),f329(f329(f37(a908),x66972),x66973))+~P1(f329(f329(f241(a908),f2(a908)),x66971))
% 191.26/191.46 [6835]~P1(f329(f62(x68351),x68353))+E(f329(f329(f65(x68351,f916(x68351,a903),f311(x68351)),x68352),x68353),f329(f329(f115(f916(x68351,a903)),x68353),x68352))
% 191.26/191.46 [6891]E(f329(f329(f115(f916(x68911,a903)),x68912),x68913),x68912)+~P1(f329(f329(f240(f916(x68911,a903)),x68913),x68912))
% 191.26/191.46 [6893]E(f329(f329(f115(f916(x68931,a903)),x68932),x68933),x68933)+~P1(f329(f329(f240(f916(x68931,a903)),x68932),x68933))
% 191.26/191.46 [6894]E(f329(f329(f106(f916(x68941,a903)),x68942),x68943),x68943)+~P1(f329(f329(f240(f916(x68941,a903)),x68943),x68942))
% 191.26/191.46 [6895]E(f329(f329(f106(f916(x68951,a903)),x68952),x68953),x68952)+~P1(f329(f329(f240(f916(x68951,a903)),x68952),x68953))
% 191.26/191.46 [6944]~P1(f329(f140(x69441),x69442))+E(f329(f329(f23(f916(x69441,a903)),f329(f175(x69441),x69442)),f329(f329(f311(x69441),x69443),f191(f916(x69441,a903)))),f329(f175(x69441),f173(x69441,x69443,x69442)))
% 191.26/191.46 [6996]P43(x69961,x69962)+~P43(x69961,f329(f329(f186(f915(x69961,x69961),a903),x69963),x69962))
% 191.26/191.46 [7063]P1(f329(f50(x70631,x70632),f329(a52,x70633)))+~P1(f329(f50(f329(f81(a1),x70631),f329(f81(a1),x70632)),x70633))
% 191.26/191.46 [7068]E(f329(f329(f23(f916(x70681,a903)),f329(f329(f311(x70681),x70682),x70683)),f329(f329(f311(x70681),x70682),f191(f916(x70681,a903)))),x70683)+P1(f329(f329(f331(x70681),x70682),x70683))
% 191.26/191.46 [7089]E(f329(f329(f106(f916(x70891,a903)),f329(f175(x70891),x70892)),f329(f175(x70891),x70893)),f191(f916(x70891,a903)))+~P1(f329(f140(x70891),f329(f329(f137(x70891),x70892),x70893)))
% 191.26/191.46 [7104]~P1(f329(f329(f331(x71041),x71042),f329(f175(x71041),x71043)))+~P1(f329(f140(x71041),f329(f329(f154(x71041),x71042),x71043)))
% 191.26/191.46 [7174]P37(x71741,x71742,x71743)+P1(f329(f329(f241(a908),f785(x71743,x71742,x71741)),f329(f192(f909(x71741)),x71743)))
% 191.26/191.46 [7184]E(f329(f329(f106(f916(x71841,a903)),x71842),x71843),f191(f916(x71841,a903)))+P1(f329(f329(f331(x71841),f845(x71843,x71842,x71841)),x71842))
% 191.26/191.46 [7185]E(f329(f329(f106(f916(x71851,a903)),x71852),x71853),f191(f916(x71851,a903)))+P1(f329(f329(f331(x71851),f856(x71853,x71852,x71851)),x71853))
% 191.26/191.46 [7188]E(f119(x71881,f329(f329(f178(x71881),x71882),x71883)),f329(f329(f178(x71881),f329(f329(f23(a908),x71882),f80(a908))),x71883))+~P1(f329(f329(f240(a908),x71882),f329(f192(f909(x71881)),x71883)))
% 191.26/191.46 [7248]~P39(x72483,x72482,x72481)+P1(f329(f329(f241(a908),f779(x72481,x72482,x72483)),f329(f192(f909(x72483)),x72481)))
% 191.26/191.46 [7266]P1(f329(f329(f241(a908),f2(a908)),x72661))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x72662),x72661)),f329(f329(f83(a908),x72663),x72661)))
% 191.26/191.46 [7267]P1(f329(f329(f241(a908),f2(a908)),x72671))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x72671),x72672)),f329(f329(f83(a908),x72671),x72673)))
% 191.26/191.46 [7270]~P1(f329(f329(f331(x72701),x72702),x72703))+~P1(f329(f329(f331(x72701),x72702),f329(f81(f916(x72701,a903)),x72703)))
% 191.26/191.46 [7276]~P1(f329(f329(f241(f916(x72761,a903)),x72762),x72763))+P1(f329(f329(f240(f916(x72761,a903)),x72762),x72763))
% 191.26/191.46 [7387]~P1(f329(f329(f240(a908),x73872),x73873))+P1(f329(f329(f240(a908),f329(f329(f82(a908),x73871),x73872)),f329(f329(f82(a908),x73871),x73873)))
% 191.26/191.46 [7388]~P1(f329(f329(f240(a908),x73881),x73883))+P1(f329(f329(f240(a908),f329(f329(f82(a908),x73881),x73882)),f329(f329(f82(a908),x73883),x73882)))
% 191.26/191.46 [7389]~P1(f329(f329(f240(a908),x73893),x73892))+P1(f329(f329(f240(a908),f329(f329(f23(a908),x73891),x73892)),f329(f329(f23(a908),x73891),x73893)))
% 191.26/191.46 [7390]~P1(f329(f329(f240(a908),x73901),x73903))+P1(f329(f329(f240(a908),f329(f329(f23(a908),x73901),x73902)),f329(f329(f23(a908),x73903),x73902)))
% 191.26/191.46 [7392]~P1(f329(f329(f240(a908),x73922),x73923))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x73921),x73922)),f329(f329(f83(a908),x73921),x73923)))
% 191.26/191.46 [7394]~P1(f329(f329(f240(a908),x73941),x73943))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x73941),x73942)),f329(f329(f83(a908),x73943),x73942)))
% 191.26/191.46 [7395]~P1(f329(f329(f240(a908),x73951),x73953))+P1(f329(f329(f240(a908),f329(f329(f37(a908),x73951),x73952)),f329(f329(f37(a908),x73953),x73952)))
% 191.26/191.46 [7396]~P1(f329(f329(f240(a1),x73962),x73963))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x73961),x73962)),f329(f329(f82(a1),x73961),x73963)))
% 191.26/191.46 [7399]~P1(f329(f329(f241(a908),x73992),x73993))+P1(f329(f329(f241(a908),f329(f329(f82(a908),x73991),x73992)),f329(f329(f82(a908),x73991),x73993)))
% 191.26/191.46 [7400]~P1(f329(f329(f241(a908),x74001),x74003))+P1(f329(f329(f241(a908),f329(f329(f82(a908),x74001),x74002)),f329(f329(f82(a908),x74003),x74002)))
% 191.26/191.46 [7401]~P1(f329(f329(f241(a1),x74011),x74013))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x74011),x74012)),f329(f329(f82(a1),x74013),x74012)))
% 191.26/191.46 [7484]E(x74841,x74842)+~P1(f329(f329(f331(x74843),x74841),f329(f329(f311(x74843),x74842),f191(f916(x74843,a903)))))
% 191.26/191.46 [7486]~E(f329(f329(f106(f916(x74861,a903)),x74862),x74863),f191(f916(x74861,a903)))+P1(f329(f329(f240(f916(x74861,a903)),x74862),f329(f81(f916(x74861,a903)),x74863)))
% 191.26/191.46 [7491]P1(f329(f329(f331(f916(x74911,a903)),x74912),f329(f310(x74911),x74913)))+~P1(f329(f329(f240(f916(x74911,a903)),x74912),x74913))
% 191.26/191.46 [7544]E(f329(f329(f154(x75441),f329(f329(f167(x75441),x75442),x75443)),f329(f329(f141(x75441),f329(a117,x75443)),x75442)),f329(f329(f141(x75441),x75443),x75442))+~P1(f329(f329(f241(a908),x75443),f329(f192(f909(x75441)),x75442)))
% 191.26/191.46 [7573]P1(f329(f329(f331(f915(x75731,x75731)),x75732),f309(x75731,x75733)))+~P1(f329(f329(f331(f915(x75731,x75731)),x75732),x75733))
% 191.26/191.46 [7583]~P1(f329(f329(f331(f916(x75831,a903)),x75832),f329(f310(x75831),x75833)))+P1(f329(f329(f240(f916(x75831,a903)),x75832),x75833))
% 191.26/191.46 [7627]P1(f329(f329(f240(f916(x76271,a903)),x76272),f38(f916(x76271,a903),x76273)))+~P1(f329(f329(f331(f916(x76271,a903)),x76272),x76273))
% 191.26/191.46 [7649]~P120(x76491)+E(f329(f329(f83(x76491),f329(f329(f249(x76491),f329(f81(x76491),f80(x76491))),x76492)),f329(f329(f249(x76491),x76493),x76492)),f329(f329(f249(x76491),f329(f81(x76491),x76493)),x76492))
% 191.26/191.46 [7671]E(f329(f329(f167(x76711),x76712),f329(f329(f23(a908),f329(f192(f909(x76711)),x76712)),f329(a117,x76713))),f329(f329(f167(x76711),f329(f171(x76711),x76712)),x76713))+~P1(f329(f329(f241(a908),x76713),f329(f192(f909(x76711)),x76712)))
% 191.26/191.46 [7688]~E(f329(f329(f106(f916(x76881,a903)),f640(x76883,x76882,x76881)),x76883),f191(f916(x76881,a903)))+E(f329(f329(f106(f916(x76881,a903)),f38(f916(x76881,a903),x76882)),x76883),f191(f916(x76881,a903)))
% 191.26/191.46 [7751]~P1(f329(f329(f331(x77513),x77512),f329(f175(x77513),x77511)))+P1(f329(f329(f241(a908),f659(x77511,x77512,x77513)),f329(f192(f909(x77513)),x77511)))
% 191.26/191.46 [7759]P1(f329(f329(f331(x77591),f329(f329(f167(x77591),x77592),x77593)),f329(f175(x77591),x77592)))+~P1(f329(f329(f241(a908),x77593),f329(f192(f909(x77591)),x77592)))
% 191.26/191.46 [7857]~P1(f329(x78572,f743(x78573,x78572,x78571)))+E(f329(f329(f141(x78571),f329(f192(f909(x78571)),f180(x78571,x78572,x78573))),x78573),f118(x78571))
% 191.26/191.46 [7870]P1(f329(f329(f240(f916(f909(x78701),a903)),f164(x78701,x78702)),f164(x78701,x78703)))+~P1(f329(f329(f240(f916(x78701,a903)),x78702),x78703))
% 191.26/191.46 [7871]P1(f329(f329(f240(f916(f909(x78711),a903)),f163(x78711,x78712)),f163(x78711,x78713)))+~P1(f329(f329(f240(f916(x78711,a903)),x78712),x78713))
% 191.26/191.46 [7899]E(f329(f329(f106(f916(x78991,a903)),f38(f916(x78991,a903),x78992)),x78993),f191(f916(x78991,a903)))+P1(f329(f329(f331(f916(x78991,a903)),f640(x78993,x78992,x78991)),x78992))
% 191.26/191.46 [7901]~P1(f329(f329(f331(f916(x79011,a903)),x79013),x79012))+P1(f329(f329(f240(f916(x79011,a903)),f39(f916(x79011,a903),x79012)),x79013))
% 191.26/191.46 [7903]E(f329(f329(f106(f916(x79031,a903)),x79032),x79033),f191(f916(x79031,a903)))+~P1(f329(f329(f240(f916(x79031,a903)),x79032),f329(f81(f916(x79031,a903)),x79033)))
% 191.26/191.46 [7957]E(f329(f329(f23(a908),f329(f329(f82(a908),f329(f168(a908),x79571)),x79572)),f329(f329(f167(a908),x79571),x79573)),f329(f168(a908),f329(f329(f162(a908,x79571),x79573),x79572)))+~P1(f329(f329(f241(a908),x79573),f329(f192(f909(a908)),x79571)))
% 191.26/191.46 [8008]P1(f329(f329(f240(a908),x80081),x80082))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),x80083),x80081)),f329(f329(f82(a908),x80083),x80082)))
% 191.26/191.46 [8011]P1(f329(f329(f241(a908),x80111),x80112))+~P1(f329(f329(f241(a908),f329(f329(f82(a908),x80113),x80111)),f329(f329(f82(a908),x80113),x80112)))
% 191.26/191.46 [8012]P1(f329(f329(f241(a908),x80121),x80122))+~P1(f329(f329(f241(a908),f329(f329(f83(a908),x80123),x80121)),f329(f329(f83(a908),x80123),x80122)))
% 191.26/191.46 [8013]P1(f329(f329(f241(a908),x80131),x80132))+~P1(f329(f329(f241(a908),f329(f329(f83(a908),x80131),x80133)),f329(f329(f83(a908),x80132),x80133)))
% 191.26/191.46 [8042]P1(f329(f329(f241(a908),f2(a908)),x80421))+~P1(f329(f329(f241(a908),f329(f329(f83(a908),x80422),x80421)),f329(f329(f83(a908),x80423),x80421)))
% 191.26/191.46 [8043]P1(f329(f329(f241(a908),f2(a908)),x80431))+~P1(f329(f329(f241(a908),f329(f329(f83(a908),x80431),x80432)),f329(f329(f83(a908),x80431),x80433)))
% 191.26/191.46 [8119]E(f252(x81191,x81192,x81193),x81192)+~P1(f329(f329(f240(f916(x81191,a903)),x81193),f329(f329(f311(x81191),x81192),f191(f916(x81191,a903)))))
% 191.26/191.46 [8177]~P1(f329(f140(x81771),x81773))+E(f329(f139(x81771,f329(f329(f8(a903,a903,x81771),a324),f329(a326,x81772))),x81773),f173(x81771,x81772,x81773))
% 191.26/191.46 [8201]E(f329(f329(f141(x82011),f329(f192(f909(x82011)),f180(x82011,x82012,x82013))),x82013),f118(x82011))+P1(f329(f329(f331(x82011),f743(x82013,x82012,x82011)),f329(f175(x82011),x82013)))
% 191.26/191.46 [8206]E(f329(f329(f137(x82061),f329(f329(f178(x82061),x82062),x82063)),f329(f329(f154(x82061),f329(f329(f167(x82061),x82063),x82062)),f118(x82061))),f329(f329(f178(x82061),f329(a117,x82062)),x82063))+~P1(f329(f329(f241(a908),x82062),f329(f192(f909(x82061)),x82063)))
% 191.26/191.46 [8269]E(f329(f139(x82691,f329(f329(f8(a903,a903,x82691),a324),f329(a326,x82692))),x82693),x82693)+P1(f329(f329(f331(x82691),x82692),f329(f175(x82691),x82693)))
% 191.26/191.46 [8275]P1(f329(f329(f240(f916(f916(x82751,a903),a903)),f253(x82751,x82752)),f253(x82751,x82753)))+~P1(f329(f329(f240(f916(x82751,a903)),x82752),x82753))
% 191.26/191.46 [8316]~P1(f329(f140(x83161),x83163))+P1(f329(f140(x83161),f329(f329(f329(f186(f909(x83161),f909(x83161)),x83162),f170(x83161)),x83163)))
% 191.26/191.46 [8322]~P1(f329(f329(f241(a908),x83222),x83223))+P1(f329(f329(f241(a908),f329(f329(f83(a908),f329(a117,x83221)),x83222)),f329(f329(f83(a908),f329(a117,x83221)),x83223)))
% 191.26/191.46 [8343]P1(f329(f329(f240(f916(f916(x83431,a903),a903)),f329(f310(x83431),x83432)),f329(f310(x83431),x83433)))+~P1(f329(f329(f240(f916(x83431,a903)),x83432),x83433))
% 191.26/191.46 [8412]~E(f329(f312(x84121,x84122,x84123),f247(f916(x84121,a903))),f247(f916(x84122,a903)))+E(f329(f74(x84121,x84122,x84122,x84123),f94(x84121,x84122,f247(f916(x84121,a903)),x84123)),f33(x84122))
% 191.26/191.46 [8507]~P1(f329(f329(f240(f916(x85071,a903)),x85073),x85072))+P1(f329(f329(f240(f916(x85071,a903)),f329(f81(f916(x85071,a903)),x85072)),f329(f81(f916(x85071,a903)),x85073)))
% 191.26/191.46 [8542]E(f329(f312(a908,a908,f329(f329(f7(a908,a908,a908),f23(a908)),x85421)),f329(f304(a908,x85422),x85423)),f329(f304(a908,f329(f329(f23(a908),x85422),x85421)),f329(f329(f23(a908),x85423),x85421)))+~P1(f329(f329(f241(a908),x85421),x85423))
% 191.26/191.46 [8569]~P4(x85691)+E(f329(f329(f82(x85691),x85692),f329(f145(x85691,x85691,f82(x85691),f2(x85691)),x85693)),f329(f145(x85691,x85691,f82(x85691),x85692),x85693))
% 191.26/191.46 [8657]~P89(x86571)+P1(f329(f329(f240(x86571),f329(f77(x86571),f329(f329(f82(x86571),x86572),x86573))),f329(f329(f82(x86571),f329(f77(x86571),x86572)),f329(f77(x86571),x86573))))
% 191.26/191.46 [8658]~P89(x86581)+P1(f329(f329(f240(x86581),f329(f77(x86581),f329(f329(f23(x86581),x86582),x86583))),f329(f329(f82(x86581),f329(f77(x86581),x86582)),f329(f77(x86581),x86583))))
% 191.26/191.46 [8669]E(f329(f329(f82(a1),f329(f329(f83(a1),x86691),f46(a1,f329(f329(f37(a1),x86692),x86691),x86693))),f46(a1,x86692,x86691)),f46(a1,x86692,f329(f329(f83(a1),x86691),x86693)))+~P1(f329(f329(f241(a1),f2(a1)),x86693))
% 191.26/191.46 [8675]E(f329(f329(f137(x86751),f329(f329(f178(x86751),x86752),x86753)),f329(f329(f154(x86751),f329(f144(x86751),f329(f329(f141(x86751),x86752),x86753))),f118(x86751))),f329(f329(f178(x86751),f329(a117,x86752)),x86753))+~P1(f329(f329(f241(a908),x86752),f329(f192(f909(x86751)),x86753)))
% 191.26/191.46 [8694]E(f329(f273(x86941,f329(f329(f157(x86941,f915(a104,x86941)),f329(f257(a104,x86941),f80(a104))),x86942)),f329(a3,x86943)),f329(f329(f167(x86941),x86942),x86943))+~P1(f329(f329(f241(a908),x86943),f329(f192(f909(x86941)),x86942)))
% 191.26/191.46 [8759]P1(f329(f329(f331(f915(x87591,x87591)),x87592),f329(f329(f291(x87591,x87591,x87591),x87593),f309(x87591,x87593))))+~P1(f329(f329(f331(f915(x87591,x87591)),x87592),x87593))
% 191.26/191.46 [8769]E(f329(f312(x87691,x87692,x87693),f247(f916(x87691,a903))),f247(f916(x87692,a903)))+~E(f329(f74(x87691,x87692,x87692,x87693),f94(x87691,x87692,f247(f916(x87691,a903)),x87693)),f33(x87692))
% 191.26/191.46 [8778]P1(f329(f329(f240(a908),x87781),x87782))+~P1(f329(f329(f240(a908),f329(f329(f83(a908),f329(a117,x87783)),x87781)),f329(f329(f83(a908),f329(a117,x87783)),x87782)))
% 191.26/191.46 [8794]P1(f329(f329(f240(f916(x87941,a903)),x87942),x87943))+~P1(f329(f329(f240(f916(x87941,a903)),f329(f81(f916(x87941,a903)),x87943)),f329(f81(f916(x87941,a903)),x87942)))
% 191.26/191.46 [8811]P1(f329(f140(x88111),x88112))+~P1(f329(f140(x88111),f329(f329(f329(f186(f909(x88111),f909(x88111)),x88113),f170(x88111)),x88112)))
% 191.26/191.46 [8880]E(f329(f288(x88801,x88801,f309(x88801,x88802)),x88803),x88803)+~P1(f329(f329(f240(f916(x88801,a903)),f329(f288(x88801,x88801,x88802),x88803)),x88803))
% 191.26/191.46 [8926]~P112(x89261)+P18(x89261,f329(f139(x89261,f329(f329(f7(x89261,x89261,a903),a326),f329(x89262,x89263))),x89263))
% 191.26/191.46 [8931]~P1(f329(f329(f240(a908),x89311),x89312))+P1(f329(f329(f240(a908),x89311),f329(f145(a908,a908,f82(a908),x89312),x89313)))
% 191.26/191.46 [9016]~P1(f329(f329(f331(f915(x90161,x90161)),x90162),f309(x90161,x90163)))+P1(f329(f329(f331(f915(x90161,x90161)),x90162),f329(f329(f186(f915(x90161,x90161),a903),f600(x90163,x90162,x90161)),x90163)))
% 191.26/191.46 [9101]~P4(x91011)+E(f329(f329(f82(x91011),x91012),f329(f145(x91011,x91011,f329(f7(x91011,x91011,x91011),f82(x91011)),f2(x91011)),f329(f171(x91011),x91013))),f329(f145(x91011,x91011,f82(x91011),x91012),x91013))
% 191.26/191.46 [9221]~P31(x92212,x92211,x92213,f247(f916(x92212,a903)),f247(f916(x92211,a903)))+E(f94(x92211,x92212,f247(f916(x92211,a903)),f94(x92212,x92211,f247(f916(x92212,a903)),x92213)),x92213)
% 191.26/191.46 [9381]P62(x93811,x93812,x93813)+P1(f329(f329(f331(f915(x93811,x93812)),f329(f329(f257(x93811,x93812),f604(x93813,x93812,x93811)),f599(x93813,x93812,x93811))),x93813))
% 191.26/191.46 [9382]P62(x93821,x93822,x93823)+P1(f329(f329(f331(f915(x93821,x93822)),f329(f329(f257(x93821,x93822),f604(x93823,x93822,x93821)),f598(x93823,x93822,x93821))),x93823))
% 191.26/191.46 [9450]~P1(f329(f329(f331(f915(x94501,x94501)),x94502),f329(f329(f291(x94501,x94501,x94501),x94503),f309(x94501,x94503))))+P1(f329(f329(f331(f915(x94501,x94501)),x94502),f329(f329(f186(f915(x94501,x94501),a903),f603(x94503,x94502,x94501)),x94503)))
% 191.26/191.46 [9451]~P1(f329(x94511,f329(f329(f167(x94512),x94513),f329(f192(f909(x94512)),f180(x94512,x94511,x94513)))))+~P1(f329(f329(f241(a908),f329(f192(f909(x94512)),f180(x94512,x94511,x94513))),f329(f192(f909(x94512)),x94513)))
% 191.26/191.46 [9538]~P1(f329(f329(f240(f916(x95381,a903)),x95382),x95383))+P1(f329(f329(f240(f916(x95381,a903)),f329(f329(f7(x95381,f916(x95381,a903),a903),f331(x95381)),x95382)),f329(f329(f7(x95381,f916(x95381,a903),a903),f331(x95381)),x95383)))
% 191.26/191.46 [9598]~P1(f329(f329(f331(f915(f916(x95981,a903),f916(x95981,a903))),f329(f329(f257(f916(x95981,a903),f916(x95981,a903)),x95982),x95983)),f316(x95981)))+P1(f329(f329(f241(f916(x95981,a903)),x95982),x95983))
% 191.26/191.46 [9623]P63(x96231,x96232,x96233)+~P1(f329(f329(f331(f915(x96231,x96231)),f329(f329(f257(x96231,x96231),f581(x96233,x96232,x96231)),f580(x96233,x96232,x96231))),x96233))
% 191.26/191.46 [9624]P63(x96241,x96242,x96243)+~P1(f329(f329(f331(f915(x96241,x96241)),f329(f329(f257(x96241,x96241),f580(x96243,x96242,x96241)),f581(x96243,x96242,x96241))),x96243))
% 191.26/191.46 [9660]~P1(f329(f329(f331(f915(f909(x96601),f909(x96601))),f329(f329(f257(f909(x96601),f909(x96601)),x96602),x96602)),f150(x96601,x96603)))+P1(f329(f329(f331(f915(x96601,x96601)),f329(f329(f257(x96601,x96601),f683(x96602,x96603,x96601)),f683(x96602,x96603,x96601))),x96603))
% 191.26/191.46 [9710]P1(f329(f329(f240(f916(x97101,a903)),x97102),x97103))+~P1(f329(f329(f240(f916(x97101,a903)),f329(f329(f7(x97101,f916(x97101,a903),a903),f331(x97101)),x97102)),f329(f329(f7(x97101,f916(x97101,a903),a903),f331(x97101)),x97103)))
% 191.26/191.46 [9793]E(f329(f329(f23(a908),f329(f329(f6(a908,a908),x97931),f329(f285(a908),x97932))),f329(f329(f6(a908,a908),x97933),f329(f285(a908),x97932))),f329(f329(f6(a908,a908),f329(f329(f18(a908,a908,a908),f329(f329(f8(a908,f916(a908,a908),a908),f23(a908)),x97931)),x97933)),f329(f285(a908),x97932)))+~P1(f329(f329(f240(a908),f329(x97933,f452(x97932,x97931,x97933))),f329(x97931,f452(x97932,x97931,x97933))))
% 191.26/191.46 [5747]~P79(x57471)+E(f329(f329(f82(x57471),f329(f329(f23(x57471),x57472),x57473)),x57473),x57472)
% 191.26/191.46 [5748]~P79(x57481)+E(f329(f329(f23(x57481),f329(f329(f82(x57481),x57482),x57483)),x57483),x57482)
% 191.26/191.46 [5974]~P79(x59741)+E(f329(f329(f82(x59741),x59742),f329(f329(f82(x59741),f329(f81(x59741),x59742)),x59743)),x59743)
% 191.26/191.46 [6057]~P88(x60571)+E(f329(f329(f83(x60571),f329(f329(f249(x60571),x60572),x60573)),x60572),f329(f329(f249(x60571),x60572),f329(a117,x60573)))
% 191.26/191.46 [6058]~P116(x60581)+E(f329(f329(f83(x60581),f329(f329(f249(x60581),x60582),x60583)),x60582),f329(f329(f249(x60581),x60582),f329(a117,x60583)))
% 191.26/191.46 [6280]~P121(x62801)+E(f329(f77(x62801),f329(f329(f249(x62801),f329(f81(x62801),x62802)),x62803)),f329(f77(x62801),f329(f329(f249(x62801),x62802),x62803)))
% 191.26/191.46 [6332]~P88(x63321)+E(f329(f329(f83(x63321),f329(f329(f249(x63321),x63322),x63323)),x63322),f329(f329(f83(x63321),x63322),f329(f329(f249(x63321),x63322),x63323)))
% 191.26/191.46 [6383]E(f329(f329(f23(a104),f329(f329(f82(a104),x63831),x63832)),x63833),f277(x63831,x63832,x63833))+~P1(f329(f329(f241(a104),x63832),x63833))
% 191.26/191.46 [6406]~E(f329(f329(f141(x64061),x64063),x64062),f118(x64061))+P1(f329(f329(f240(a908),f329(f192(f909(x64061)),x64062)),x64063))
% 191.26/191.46 [6543]E(f329(f329(f83(a908),f329(f108(a908),x65431)),f329(f329(f83(a908),f329(f108(a908),x65432)),x65433)),f2(a908))+~P1(f329(f329(f241(a1),x65431),a85))
% 191.26/191.46 [6560]~P71(x65601)+E(f329(f329(f249(x65601),f329(f329(f292(x65601),f80(x65601)),x65602)),x65603),f329(f329(f292(x65601),f80(x65601)),f329(f329(f249(x65601),x65602),x65603)))
% 191.26/191.46 [6639]E(f329(f329(f23(a908),f329(f329(f82(a908),x66391),x66392)),x66393),f329(f329(f23(a908),x66391),f329(f329(f23(a908),x66393),x66392)))+~P1(f329(f329(f240(a908),x66392),x66393))
% 191.26/191.46 [6640]E(f329(f329(f23(a908),f329(f329(f82(a908),x66401),x66402)),x66403),f329(f329(f82(a908),x66401),f329(f329(f23(a908),x66402),x66403)))+~P1(f329(f329(f240(a908),x66403),x66402))
% 191.26/191.46 [6677]~P2(x66771)+P1(f329(f329(f240(x66771),f329(f329(f106(x66771),x66772),x66773)),x66773))
% 191.26/191.46 [6678]~P104(x66781)+P1(f329(f329(f240(x66781),f329(f329(f106(x66781),x66782),x66783)),x66783))
% 191.26/191.46 [6679]~P2(x66791)+P1(f329(f329(f240(x66791),f329(f329(f106(x66791),x66792),x66793)),x66792))
% 191.26/191.46 [6680]~P104(x66801)+P1(f329(f329(f240(x66801),f329(f329(f106(x66801),x66802),x66803)),x66802))
% 191.26/191.46 [6681]~P112(x66811)+P1(f329(f329(f240(x66811),f329(f329(f238(x66811),x66812),x66813)),x66813))
% 191.26/191.46 [6682]~P112(x66821)+P1(f329(f329(f240(x66821),f329(f329(f238(x66821),x66822),x66823)),x66822))
% 191.26/191.46 [6696]E(f329(f329(f37(a1),f329(f329(f37(a1),x66961),x66962)),x66963),f329(f329(f37(a1),x66961),f329(f329(f83(a1),x66962),x66963)))+~P1(f329(f329(f241(a1),f2(a1)),x66963))
% 191.26/191.46 [6747]~P116(x67471)+E(f329(f329(f82(x67471),f329(f329(f83(x67471),x67472),x67473)),x67473),f329(f329(f83(x67471),f329(f329(f82(x67471),x67472),f80(x67471))),x67473))
% 191.26/191.46 [6748]~P97(x67481)+E(f329(f329(f83(x67481),f329(f81(x67481),f329(f108(x67481),x67482))),x67483),f329(f329(f83(x67481),f329(f108(x67481),f329(f81(a1),x67482))),x67483))
% 191.26/191.46 [6821]~P4(x68211)+E(f329(f168(x68211),f329(f329(f157(x68212,x68211),f329(f16(x68211,x68212),f2(x68211))),x68213)),f2(x68211))
% 191.26/191.46 [6836]E(f329(f329(f82(a908),f329(f108(a908),x68361)),f329(f329(f82(a908),f329(f108(a908),x68362)),x68363)),f329(f329(f82(a908),f329(f108(a908),x68362)),x68363))+~P1(f329(a196,f329(f108(a1),x68361)))
% 191.26/191.46 [6850]~P10(x68501)+E(f39(x68501,f329(f329(f311(x68501),x68502),f329(f329(f311(x68501),x68503),f191(f916(x68501,a903))))),f329(f329(f106(x68501),x68502),x68503))
% 191.26/191.46 [6851]~P10(x68511)+E(f38(x68511,f329(f329(f311(x68511),x68512),f329(f329(f311(x68511),x68513),f191(f916(x68511,a903))))),f329(f329(f115(x68511),x68512),x68513))
% 191.26/191.46 [6874]E(f329(f329(f178(x68741),x68742),x68743),x68743)+~P1(f329(f329(f240(a908),f329(f192(f909(x68741)),x68743)),x68742))
% 191.26/191.46 [6886]E(f329(f329(f141(x68861),x68862),x68863),f118(x68861))+~P1(f329(f329(f240(a908),f329(f192(f909(x68861)),x68863)),x68862))
% 191.26/191.46 [6897]E(f329(f329(f23(a908),f329(f329(f82(a908),x68971),x68972)),x68973),f329(f329(f82(a908),f329(f329(f23(a908),x68971),x68973)),x68972))+~P1(f329(f329(f240(a908),x68973),x68971))
% 191.26/191.46 [6911]~P1(f329(f329(f241(a908),x69111),x69113))+P1(f329(f329(f241(a908),f329(f329(f23(a908),x69111),x69112)),x69113))
% 191.26/191.46 [6938]~P112(x69381)+E(f173(x69381,x69382,f329(f329(f151(x69381,x69381,f5(x69381)),x69382),x69383)),x69383)
% 191.26/191.46 [7025]E(f329(f329(f23(a908),f329(f329(f82(a908),x70251),x70252)),f329(a117,x70253)),f329(f329(f23(a908),x70251),f329(a117,f329(f329(f23(a908),x70253),x70252))))+~P1(f329(f329(f240(a908),x70252),x70253))
% 191.26/191.46 [7026]~P121(x70261)+P1(f329(f329(f240(x70261),f2(x70261)),f329(f329(f249(x70261),f329(f77(x70261),x70262)),x70263)))
% 191.26/191.46 [7073]P29(x70731,x70732,x70733)+~P1(f329(f329(f240(f916(f907(x70731),a903)),x70733),x70732))
% 191.26/191.46 [7115]~P1(f329(f62(x71151),x71152))+P1(f329(f62(x71151),f329(f329(f23(f916(x71151,a903)),x71152),x71153)))
% 191.26/191.46 [7116]~P1(f329(f62(x71161),x71163))+P1(f329(f62(x71161),f329(f329(f106(f916(x71161,a903)),x71162),x71163)))
% 191.26/191.46 [7117]~P1(f329(f62(x71171),x71172))+P1(f329(f62(x71171),f329(f329(f106(f916(x71171,a903)),x71172),x71173)))
% 191.26/191.46 [7256]~P43(x72561,x72563)+P43(x72561,f329(f329(f106(f916(f915(x72561,x72561),a903)),x72562),x72563))
% 191.26/191.46 [7257]~P43(x72571,x72572)+P43(x72571,f329(f329(f106(f916(f915(x72571,x72571),a903)),x72572),x72573))
% 191.26/191.46 [7383]~P2(x73831)+E(f10(x73831,f329(f175(x73831),f329(f329(f154(x73831),x73832),x73833))),f329(f145(x73831,x73831,f106(x73831),x73832),x73833))
% 191.26/191.46 [7384]~P2(x73841)+E(f13(x73841,f329(f175(x73841),f329(f329(f154(x73841),x73842),x73843))),f329(f145(x73841,x73841,f115(x73841),x73842),x73843))
% 191.26/191.46 [7385]~P112(x73851)+E(f14(x73851,f329(f175(x73851),f329(f329(f154(x73851),x73852),x73853))),f329(f145(x73851,x73851,f238(x73851),x73852),x73853))
% 191.26/191.46 [7386]~P112(x73861)+E(f15(x73861,f329(f175(x73861),f329(f329(f154(x73861),x73862),x73863))),f329(f145(x73861,x73861,f239(x73861),x73862),x73863))
% 191.26/191.46 [7451]~P1(f329(f62(x74511),x74512))+P1(f329(f329(f240(a908),f329(f36(x74511),x74512)),f329(f36(x74511),f329(f329(f311(x74511),x74513),x74512))))
% 191.26/191.46 [7458]E(f329(f329(f115(f916(a908,a903)),f329(f304(a908,x74581),x74582)),f329(f304(a908,x74582),f329(f329(f82(a908),x74582),x74583))),f329(f304(a908,x74581),f329(f329(f82(a908),x74582),x74583)))+~P1(f329(f329(f240(a908),x74581),x74582))
% 191.26/191.46 [7469]P1(f329(f329(f240(a908),x74691),x74692))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),x74693),x74691)),x74692))
% 191.26/191.46 [7470]P1(f329(f329(f240(a908),x74701),x74702))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),x74701),x74703)),x74702))
% 191.26/191.46 [7471]P1(f329(f329(f241(a908),x74711),x74712))+~P1(f329(f329(f241(a908),f329(f329(f82(a908),x74711),x74713)),x74712))
% 191.26/191.46 [7508]~P112(x75081)+E(f11(x75081,f238(x75081),f329(f175(x75081),f329(f329(f154(x75081),x75082),x75083))),f329(f145(x75081,x75081,f238(x75081),x75082),x75083))
% 191.26/191.46 [7509]~P112(x75091)+E(f12(x75091,f239(x75091),f329(f175(x75091),f329(f329(f154(x75091),x75092),x75093))),f329(f145(x75091,x75091,f239(x75091),x75092),x75093))
% 191.26/191.46 [7513]~E(x75132,f191(f916(f915(x75131,x75131),a903)))+P1(f329(f329(f240(f916(f915(x75131,x75131),a903)),x75132),x75133))
% 191.26/191.46 [7622]E(f329(f329(f115(f916(x76221,a903)),x76222),f329(f329(f23(f916(x76221,a903)),x76223),x76222)),x76223)+~P1(f329(f329(f240(f916(x76221,a903)),x76222),x76223))
% 191.26/191.46 [7623]~P1(f329(f329(f240(a908),x76231),f329(f329(f82(a908),x76233),x76232)))+P1(f329(f329(f240(a908),f329(f329(f23(a908),x76231),x76232)),x76233))
% 191.26/191.46 [7624]~P1(f329(f329(f241(a908),x76241),f329(f329(f23(a908),x76243),x76242)))+P1(f329(f329(f241(a908),f329(f329(f82(a908),x76241),x76242)),x76243))
% 191.26/191.46 [7678]E(x76781,f118(x76782))+E(f329(f144(x76782),f329(f329(f329(f186(f909(x76782),f909(x76782)),x76783),f170(x76782)),x76781)),f329(f329(f167(x76782),x76781),f46(a908,x76783,f329(f192(f909(x76782)),x76781))))
% 191.26/191.46 [7687]E(f329(f329(f311(x76871),x76872),f329(f329(f23(f916(x76871,a903)),x76873),f329(f329(f311(x76871),x76872),f191(f916(x76871,a903))))),x76873)+~P1(f329(f329(f331(x76871),x76872),x76873))
% 191.26/191.46 [7848]P1(f329(f329(f240(a908),x78481),f329(f329(f82(a908),x78482),x78483)))+~P1(f329(f329(f240(a908),f329(f329(f23(a908),x78481),x78483)),x78482))
% 191.26/191.46 [7849]P1(f329(f329(f241(a908),x78491),f329(f329(f23(a908),x78492),x78493)))+~P1(f329(f329(f241(a908),f329(f329(f82(a908),x78491),x78493)),x78492))
% 191.26/191.46 [7874]P1(f329(f62(x78741),x78742))+~P1(f329(f62(x78741),f329(f329(f115(f916(x78741,a903)),x78743),x78742)))
% 191.26/191.46 [7875]P1(f329(f62(x78751),x78752))+~P1(f329(f62(x78751),f329(f329(f115(f916(x78751,a903)),x78752),x78753)))
% 191.26/191.46 [7955]~P53(x79551,x79553)+P1(f329(f329(f331(f915(x79551,x79551)),f329(f329(f257(x79551,x79551),x79552),x79552)),x79553))
% 191.26/191.46 [8090]E(f329(f329(f167(a908),f142(a908,f329(f304(a908,x80901),x80902))),x80903),f329(f329(f82(a908),x80901),x80903))+~P1(f329(f329(f241(a908),f329(f329(f82(a908),x80901),x80903)),x80902))
% 191.26/191.46 [8161]~P1(f329(f329(f197(f329(a26,x81611)),x81612),x81613))+P1(f329(f329(f197(f329(f236(a904),f329(a27,x81611))),x81612),x81613))
% 191.26/191.46 [8166]E(f329(f329(f178(a908),x81661),f142(a908,f329(f304(a908,x81662),x81663))),f142(a908,f329(f304(a908,x81662),f329(f329(f82(a908),x81662),x81661))))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),x81662),x81661)),x81663))
% 191.26/191.46 [8223]~P97(x82231)+E(f329(f329(f249(x82231),x82232),f329(f108(a908),f329(f329(f82(a1),x82233),x82233))),f329(f329(f88(x82231,x82231),f329(f329(f249(x82231),x82232),f329(f108(a908),x82233))),f329(f329(f18(x82231,x82231,x82231),f83(x82231)),f5(x82231))))
% 191.26/191.46 [8429]P1(f329(f329(f197(f329(a26,x84291)),x84292),x84293))+~P1(f329(f329(f197(f329(f236(a904),f329(a27,x84291))),x84292),x84293))
% 191.26/191.46 [8487]E(f329(f329(f137(x84871),f329(f329(f178(x84871),x84872),x84873)),f329(f329(f154(x84871),f329(f329(f167(x84871),x84873),x84872)),f329(f329(f141(x84871),f329(a117,x84872)),x84873))),x84873)+~P1(f329(f329(f241(a908),x84872),f329(f192(f909(x84871)),x84873)))
% 191.26/191.46 [8494]P1(f329(f329(f240(f916(x84941,a903)),f317(x84941,x84942)),f317(x84941,x84943)))+~P1(f329(f329(f240(f916(x84941,f916(x84941,a903))),x84943),x84942))
% 191.26/191.46 [8495]~P63(x84951,x84952,x84953)+P63(x84951,x84952,f329(f329(f23(f916(f915(x84951,x84951),a903)),x84953),f309(x84951,f191(f916(f915(x84951,x84951),a903)))))
% 191.26/191.46 [8515]P1(f329(f329(f240(f916(x85151,a903)),f318(x85151,x85152)),f318(x85151,x85153)))+~P1(f329(f329(f240(f916(f915(x85151,x85151),a903)),x85153),x85152))
% 191.26/191.46 [8522]~P128(x85221)+P1(f329(f329(f240(x85221),f2(x85221)),f329(f329(f82(x85221),f329(f329(f83(x85221),x85222),x85222)),f329(f329(f83(x85221),x85223),x85223))))
% 191.26/191.46 [8557]P1(f329(f329(f240(f916(x85571,a903)),f329(f284(x85571),x85572)),f329(f284(x85571),x85573)))+~P1(f329(f329(f240(f916(f915(x85571,x85571),a903)),x85572),x85573))
% 191.26/191.46 [8592]~P61(x85921,x85922)+~P1(f329(f329(f331(f915(x85921,x85921)),f329(f329(f257(x85921,x85921),x85923),x85923)),x85922))
% 191.26/191.46 [8594]~P43(x85941,x85942)+~P1(f329(f329(f331(f915(x85941,x85941)),f329(f329(f257(x85941,x85941),x85943),x85943)),x85942))
% 191.26/191.46 [8659]P1(f329(f329(f240(f916(x86591,a903)),f39(f916(x86591,a903),x86592)),f39(f916(x86591,a903),x86593)))+~P1(f329(f329(f240(f916(f916(x86591,a903),a903)),x86593),x86592))
% 191.26/191.46 [8660]P1(f329(f329(f240(f916(x86601,a903)),f38(f916(x86601,a903),x86602)),f38(f916(x86601,a903),x86603)))+~P1(f329(f329(f240(f916(f916(x86601,a903),a903)),x86602),x86603))
% 191.26/191.46 [8713]~P13(x87131,x87133,x87132)+P1(f329(f329(f240(f916(f915(x87131,x87131),a903)),x87132),f329(f329(f259(x87131,x87131),x87133),f329(f16(f916(x87131,a903),x87131),x87133))))
% 191.26/191.46 [8714]~P60(x87141,x87143,x87142)+P1(f329(f329(f240(f916(f915(x87141,x87141),a903)),x87142),f329(f329(f259(x87141,x87141),x87143),f329(f16(f916(x87141,a903),x87141),x87143))))
% 191.26/191.46 [8760]~P89(x87601)+P1(f329(f329(f240(x87601),f329(f329(f23(x87601),f329(f77(x87601),x87602)),f329(f77(x87601),x87603))),f329(f77(x87601),f329(f329(f23(x87601),x87603),x87602))))
% 191.26/191.46 [8761]~P89(x87611)+P1(f329(f329(f240(x87611),f329(f329(f23(x87611),f329(f77(x87611),x87612)),f329(f77(x87611),x87613))),f329(f77(x87611),f329(f329(f23(x87611),x87612),x87613))))
% 191.26/191.46 [8792]P1(f329(f329(f240(f916(f915(x87921,x87921),a903)),f309(x87921,x87922)),f309(x87921,x87923)))+~P1(f329(f329(f240(f916(f915(x87921,x87921),a903)),x87922),x87923))
% 191.26/191.46 [8890]~P30(x88902,x88901,x88903,f247(f916(x88902,a903)))+E(f329(f74(x88901,x88902,x88902,f94(x88902,x88901,f247(f916(x88902,a903)),x88903)),x88903),f33(x88902))
% 191.26/191.46 [8949]P63(x89491,x89492,x89493)+~P63(x89491,x89492,f329(f329(f23(f916(f915(x89491,x89491),a903)),x89493),f309(x89491,f191(f916(f915(x89491,x89491),a903)))))
% 191.26/191.46 [8967]P1(f329(f329(f240(f916(f915(f909(x89671),f909(x89671)),a903)),f160(x89671,x89672)),f160(x89671,x89673)))+~P1(f329(f329(f240(f916(f915(x89671,x89671),a903)),x89672),x89673))
% 191.26/191.46 [8968]P1(f329(f329(f240(f916(f915(f909(x89681),f909(x89681)),a903)),f161(x89681,x89682)),f161(x89681,x89683)))+~P1(f329(f329(f240(f916(f915(x89681,x89681),a903)),x89682),x89683))
% 191.26/191.46 [8989]~P60(x89891,x89893,x89892)+P1(f329(f329(f240(f916(f915(x89891,x89891),a903)),x89892),f329(f329(f291(x89891,x89891,x89891),f329(f289(x89891,x89891),x89892)),x89892)))
% 191.26/191.46 [9045]~P1(f329(f140(x90451),x90452))+E(f329(f139(x90451,f329(f329(f7(x90451,f916(x90451,a903),a903),f331(x90451)),f329(f175(x90451),f179(x90451,x90452,x90453)))),x90452),f179(x90451,x90452,x90453))
% 191.26/191.46 [9099]E(x90991,x90992)+~P1(f329(f329(f331(f915(x90993,x90993)),f329(f329(f257(x90993,x90993),x90991),x90992)),f309(x90993,f191(f916(f915(x90993,x90993),a903)))))
% 191.26/191.46 [9185]P1(f329(f329(f331(x91851),x91852),f318(x91851,x91853)))+P1(f329(f329(f331(f915(x91851,x91851)),f329(f329(f257(x91851,x91851),f495(x91853,x91852,x91851)),x91852)),x91853))
% 191.26/191.46 [9186]P1(f329(f329(f331(x91861),x91862),f318(x91861,x91863)))+P1(f329(f329(f331(f915(x91861,x91861)),f329(f329(f257(x91861,x91861),f583(x91863,x91862,x91861)),x91862)),x91863))
% 191.26/191.46 [9187]P1(f329(f329(f331(x91871),x91872),f318(x91871,x91873)))+P1(f329(f329(f331(f915(x91871,x91871)),f329(f329(f257(x91871,x91871),f585(x91873,x91872,x91871)),x91872)),x91873))
% 191.26/191.46 [9222]P30(x92221,x92222,x92223,f247(f916(x92221,a903)))+~E(f329(f74(x92222,x92221,x92221,f94(x92221,x92222,f247(f916(x92221,a903)),x92223)),x92223),f33(x92221))
% 191.26/191.46 [9284]~P1(f329(f329(f331(f909(x92841)),x92843),f164(x92841,x92842)))+P1(f329(f163(x92841,f329(f329(f7(x92841,f916(x92841,a903),a903),f331(x92841)),x92842)),x92843))
% 191.26/191.46 [9308]P1(f329(x93083,x93082))+E(f329(f267(x93081),f329(f329(f18(x93081,a903,a903),f329(f329(f8(a903,f916(a903,a903),x93081),a327),f329(a326,x93082))),x93083)),f191(f916(x93081,a903)))
% 191.26/191.46 [9325]~P89(x93251)+P1(f329(f329(f240(x93251),f329(f77(x93251),f329(f329(f23(x93251),f329(f77(x93251),x93252)),f329(f77(x93251),x93253)))),f329(f77(x93251),f329(f329(f23(x93251),x93252),x93253))))
% 191.26/191.46 [9340]~P1(f329(x93403,x93402))+E(f329(f267(x93401),f329(f329(f18(x93401,a903,a903),f329(f329(f8(a903,f916(a903,a903),x93401),a327),f329(a326,x93402))),x93403)),f329(f329(f311(x93401),x93402),f191(f916(x93401,a903))))
% 191.26/191.46 [9347]~P1(f329(f329(f331(f916(x93471,a903)),x93473),f329(f310(x93471),x93472)))+P1(f329(f253(x93471,f329(f329(f7(x93471,f916(x93471,a903),a903),f331(x93471)),x93472)),x93473))
% 191.26/191.46 [9380]P43(x93801,x93802)+P1(f329(f329(f331(f915(x93801,x93801)),f329(f329(f257(x93801,x93801),f329(f553(x93802,x93801),f329(a117,x93803))),f329(f553(x93802,x93801),x93803))),x93802))
% 191.26/191.46 [9518]P1(f329(f329(f331(f909(x95181)),x95182),f164(x95181,x95183)))+~P1(f329(f163(x95181,f329(f329(f7(x95181,f916(x95181,a903),a903),f331(x95181)),x95183)),x95182))
% 191.26/191.46 [9530]P1(f329(f329(f331(f916(x95301,a903)),x95302),f329(f310(x95301),x95303)))+~P1(f329(f253(x95301,f329(f329(f7(x95301,f916(x95301,a903),a903),f331(x95301)),x95303)),x95302))
% 191.26/191.46 [9593]P1(f329(f329(f331(x95931),f329(f273(x95931,x95932),x95933)),f329(f175(x95931),f329(f329(f157(f915(a104,x95931),x95931),f261(a104,x95931)),x95932))))+~P1(f329(f329(f241(a104),x95933),f329(f168(a104),f329(f329(f157(f915(a104,x95931),a104),f256(a104,x95931)),x95932))))
% 191.26/191.46 [9640]P1(f329(f329(f240(f916(f915(f909(x96401),f909(x96401)),a903)),f161(x96401,x96402)),f329(f329(f259(f909(x96401),f909(x96401)),f164(x96401,x96403)),f329(f16(f916(f909(x96401),a903),f909(x96401)),f164(x96401,x96403)))))+~P1(f329(f329(f240(f916(f915(x96401,x96401),a903)),x96402),f329(f329(f259(x96401,x96401),x96403),f329(f16(f916(x96401,a903),x96401),x96403))))
% 191.26/191.46 [9663]P1(f329(f329(f331(x96631),f329(f256(x96631,f915(a104,a104)),f329(f271(x96631,x96632),x96633))),f329(f175(x96631),f329(f329(f157(f915(a104,x96631),x96631),f261(a104,x96631)),x96632))))+~P1(f329(f329(f241(a104),f2(a104)),f329(f168(a104),f329(f329(f157(f915(a104,x96631),a104),f256(a104,x96631)),x96632))))
% 191.26/191.46 [9678]~P1(f329(f329(f240(f916(f915(x96781,x96781),a903)),x96782),f329(f329(f259(x96781,x96781),x96783),f329(f16(f916(x96781,a903),x96781),x96783))))+P1(f329(f329(f240(f916(f915(x96781,x96781),a903)),f329(f329(f291(x96781,x96781,x96781),x96782),f309(x96781,x96782))),f329(f329(f259(x96781,x96781),x96783),f329(f16(f916(x96781,a903),x96781),x96783))))
% 191.26/191.46 [9979]~P43(x99791,x99792)+~P1(f329(f329(f331(f915(x99791,x99791)),f329(f329(f257(x99791,x99791),f329(x99793,f329(a117,f554(x99792,x99791,x99793)))),f329(x99793,f554(x99792,x99791,x99793)))),x99792))
% 191.26/191.46 [9980]~P43(x99801,x99802)+~P1(f329(f329(f331(f915(x99801,x99801)),f329(f329(f257(x99801,x99801),f329(x99803,f329(a117,f594(x99803,x99802,x99801)))),f329(x99803,f594(x99803,x99802,x99801)))),x99802))
% 191.26/191.46 [10225]P1(f329(f329(f240(f916(f915(f916(x102251,a903),f916(x102251,a903)),a903)),f329(f329(f291(f916(x102251,a903),f916(x102251,a903),f916(x102251,a903)),f322(x102251,x102252)),f329(f329(f115(f916(f915(f916(x102251,a903),f916(x102251,a903)),a903)),f322(x102251,x102253)),f329(f329(f311(f915(f916(x102251,a903),f916(x102251,a903))),f329(f329(f257(f916(x102251,a903),f916(x102251,a903)),f191(f916(x102251,a903))),f191(f916(x102251,a903)))),f191(f916(f915(f916(x102251,a903),f916(x102251,a903)),a903)))))),f322(x102251,x102252)))+~P1(f329(f329(f240(f916(f915(x102251,x102251),a903)),f329(f329(f291(x102251,x102251,x102251),x102252),x102253)),x102252))
% 191.26/191.46 [10226]P1(f329(f329(f240(f916(f915(f916(x102261,a903),f916(x102261,a903)),a903)),f329(f329(f291(f916(x102261,a903),f916(x102261,a903),f916(x102261,a903)),f320(x102261,x102262)),f329(f329(f115(f916(f915(f916(x102261,a903),f916(x102261,a903)),a903)),f320(x102261,x102263)),f329(f329(f311(f915(f916(x102261,a903),f916(x102261,a903))),f329(f329(f257(f916(x102261,a903),f916(x102261,a903)),f191(f916(x102261,a903))),f191(f916(x102261,a903)))),f191(f916(f915(f916(x102261,a903),f916(x102261,a903)),a903)))))),f320(x102261,x102262)))+~P1(f329(f329(f240(f916(f915(x102261,x102261),a903)),f329(f329(f291(x102261,x102261,x102261),x102262),x102263)),x102262))
% 191.26/191.46 [7382]~P1(f329(f329(f240(a908),x73822),x73821))+E(f329(f329(f23(a908),f329(a117,f329(f329(f23(a908),x73821),x73822))),x73823),f329(f329(f23(a908),f329(a117,x73821)),f329(f329(f82(a908),x73822),x73823)))
% 191.26/191.46 [7421]~P68(x74211)+E(f329(f329(f82(x74211),f46(x74211,x74212,x74213)),f329(f329(f83(x74211),f329(f329(f37(x74211),x74212),x74213)),x74213)),x74212)
% 191.26/191.46 [7628]E(f329(f329(f83(a908),f329(f108(a908),x76281)),f329(f329(f83(a908),f329(f108(a908),x76282)),x76283)),f329(f329(f83(a908),f329(f108(a908),f329(f329(f83(a1),x76281),x76282))),x76283))+P1(f329(f329(f241(a1),x76281),a85))
% 191.26/191.46 [8101]~P1(f329(f329(f240(a908),x81013),x81012))+P1(f329(f329(f240(a908),x81011),f329(f329(f23(a908),f329(f329(f82(a908),x81012),x81011)),x81013)))
% 191.26/191.46 [8307]~P1(f329(f329(f240(a908),x83071),x83072))+E(f329(f329(f137(a908),f142(a908,f329(f304(a908,x83071),x83072))),f142(a908,f329(f304(a908,x83072),f329(f329(f82(a908),x83072),x83073)))),f142(a908,f329(f304(a908,x83071),f329(f329(f82(a908),x83072),x83073))))
% 191.26/191.46 [8566]~P1(f329(f62(x85661),x85662))+E(f329(a117,f329(f36(x85661),f329(f329(f23(f916(x85661,a903)),x85662),f329(f329(f311(x85661),x85663),f191(f916(x85661,a903)))))),f329(f36(x85661),f329(f329(f311(x85661),x85663),x85662)))
% 191.26/191.46 [8613]~P1(f329(f62(x86131),x86132))+E(f329(f329(f82(a908),f80(a908)),f329(f36(x86131),f329(f329(f23(f916(x86131,a903)),x86132),f329(f329(f311(x86131),x86133),f191(f916(x86131,a903)))))),f329(f36(x86131),f329(f329(f311(x86131),x86133),x86132)))
% 191.26/191.46 [8800]E(f329(f329(f23(a908),f329(f36(x88001),x88002)),f329(f36(x88001),f329(f329(f106(f916(x88001,a903)),x88002),x88003))),f329(f36(x88001),f329(f329(f23(f916(x88001,a903)),x88002),x88003)))+~P1(f329(f62(x88001),f329(f329(f106(f916(x88001,a903)),x88002),x88003)))
% 191.26/191.46 [9040]~P11(f329(x90402,f358(x90402,x90403,x90401)))+E(f329(f105(a1),f329(f329(f9(x90401,a908),f329(f329(f8(a1,a908,x90401),a109),x90402)),x90403)),f329(f329(f9(x90401,a1),x90402),x90403))
% 191.26/191.46 [9041]~P11(f329(x90412,f443(x90412,x90413,x90411)))+E(f329(f105(a1),f329(f329(f6(x90411,a908),f329(f329(f8(a1,a908,x90411),a109),x90412)),x90413)),f329(f329(f6(x90411,a1),x90412),x90413))
% 191.26/191.46 [9083]~P1(f329(f62(x90831),x90833))+P1(f329(f329(f240(a908),f329(f329(f23(a908),f329(f36(x90831),x90832)),f329(f36(x90831),x90833))),f329(f36(x90831),f329(f329(f23(f916(x90831,a903)),x90832),x90833))))
% 191.26/191.46 [9110]P1(f329(f329(f331(x91101),f358(x91102,x91103,x91101)),x91103))+E(f329(f105(a1),f329(f329(f9(x91101,a908),f329(f329(f8(a1,a908,x91101),a109),x91102)),x91103)),f329(f329(f9(x91101,a1),x91102),x91103))
% 191.26/191.46 [9111]P1(f329(f329(f331(x91111),f443(x91112,x91113,x91111)),x91113))+E(f329(f105(a1),f329(f329(f6(x91111,a908),f329(f329(f8(a1,a908,x91111),a109),x91112)),x91113)),f329(f329(f6(x91111,a1),x91112),x91113))
% 191.26/191.46 [9177]E(f87(x91771,f329(f329(f7(x91771,f916(x91771,a903),a903),f331(x91771)),f329(f329(f23(f916(x91771,a903)),x91772),f329(f329(f311(x91771),x91773),f191(f916(x91771,a903)))))),f252(x91771,x91773,x91772))+P1(f329(f329(f240(f916(x91771,a903)),x91772),f329(f329(f311(x91771),x91773),f191(f916(x91771,a903)))))
% 191.26/191.46 [9531]E(f329(f329(f157(f909(x95311),x95311),f329(f329(f7(f909(x95311),a908,x95311),f167(x95311)),x95312)),f329(f139(f909(x95311),f329(f329(f8(a908,a903,f909(x95311)),f329(f241(a908),x95312)),f192(f909(x95311)))),x95313)),f329(f329(f167(f909(x95311)),f182(x95311,x95313)),x95312))+~P1(f329(f329(f241(a908),x95312),f329(f192(f909(f909(x95311))),f182(x95311,x95313))))
% 191.26/191.46 [9613]E(f329(f139(x96131,x96132),x96133),f180(x96131,x96132,x96133))+P1(f329(f329(f331(x96131),f747(x96133,x96132,x96131)),f329(f175(x96131),f329(f329(f141(x96131),f329(f192(f909(x96131)),f180(x96131,x96132,x96133))),x96133))))
% 191.26/191.46 [9753]E(f329(f329(f141(x97531),f329(f192(f909(x97531)),f180(x97531,x97532,x97533))),x97533),f118(x97531))+~P1(f329(x97532,f329(f144(x97531),f329(f329(f141(x97531),f329(f192(f909(x97531)),f180(x97531,x97532,x97533))),x97533))))
% 191.26/191.46 [9846]~P1(f329(f329(f331(f915(x98461,x98461)),x98462),f309(x98461,x98463)))+P1(f329(f329(f331(f915(x98461,x98461)),x98462),f329(f329(f40(a908,f916(f915(x98461,x98461),a903)),f247(f916(a908,a903))),f329(f329(f7(a908,f916(f915(x98461,x98461),a903),f916(f915(x98461,x98461),a903)),f186(f915(x98461,x98461),a903)),x98463))))
% 191.26/191.46 [9905]~P1(f329(f329(f240(f916(x99051,a903)),f329(f329(f40(a908,f916(x99051,a903)),f329(f304(a908,f2(a908)),f491(x99053,x99052,x99051))),x99052)),x99053))+P1(f329(f329(f240(f916(x99051,a903)),f329(f329(f40(a908,f916(x99051,a903)),f247(f916(a908,a903))),x99052)),x99053))
% 191.26/191.46 [9954]~P1(f329(f329(f241(a1),f2(a1)),x99543))+P1(f329(f329(f241(a1),x99541),f329(f329(f82(a1),x99542),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x99542),x99541))),f80(a1))),x99543))))
% 191.26/191.46 [9966]~P43(x99661,f329(f329(f115(f916(f915(x99661,x99661),a903)),x99662),x99663))+P43(x99661,f329(f329(f115(f916(f915(x99661,x99661),a903)),f329(f329(f115(f916(f915(x99661,x99661),a903)),f329(f329(f291(x99661,x99661,x99661),x99662),x99662)),f329(f329(f291(x99661,x99661,x99661),x99663),x99662))),x99663))
% 191.26/191.46 [10039]P43(x100391,f329(f329(f115(f916(f915(x100391,x100391),a903)),x100392),x100393))+~P43(x100391,f329(f329(f115(f916(f915(x100391,x100391),a903)),f329(f329(f115(f916(f915(x100391,x100391),a903)),f329(f329(f291(x100391,x100391,x100391),x100392),x100392)),f329(f329(f291(x100391,x100391,x100391),x100393),x100392))),x100393))
% 191.26/191.46 [9616]~P120(x96161)+E(f329(f107(x96161),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x96162),x96163)),f191(f916(f915(a908,a908),a903)))))),f329(f329(f23(x96161),f329(f105(x96161),x96162)),f329(f105(x96161),x96163)))
% 191.26/191.46 [9698]P1(f329(x96983,x96982))+E(f329(f267(x96981),f329(f329(f18(x96981,a903,a903),f329(f329(f8(a903,f916(a903,a903),x96981),a327),f329(f329(f7(x96981,x96981,a903),a326),x96982))),x96983)),f191(f916(x96981,a903)))
% 191.26/191.46 [9700]~P1(f329(x97003,x97002))+E(f329(f267(x97001),f329(f329(f18(x97001,a903,a903),f329(f329(f8(a903,f916(a903,a903),x97001),a327),f329(f329(f7(x97001,x97001,a903),a326),x97002))),x97003)),f329(f329(f311(x97001),x97002),f191(f916(x97001,a903))))
% 191.26/191.46 [9933]E(x99331,x99332)+P1(f329(f329(f248(x99333,x99333,f329(f329(f8(f916(x99333,a903),f916(x99333,a903),x99333),f329(f8(a903,a903,x99333),a324)),a326)),x99331),x99332))
% 191.26/191.46 [10019]~E(x100191,x100192)+~P1(f329(f329(f248(x100193,x100193,f329(f329(f8(f916(x100193,a903),f916(x100193,a903),x100193),f329(f8(a903,a903,x100193),a324)),a326)),x100191),x100192))
% 191.26/191.46 [10031]~P1(f329(f62(x100311),x100313))+E(f329(f329(f65(x100311,f916(x100311,a903),f329(f329(f8(f916(x100311,a903),f916(f916(x100311,a903),f916(x100311,a903)),x100311),f329(f7(f916(x100311,a903),f916(x100311,a903),f916(x100311,a903)),f23(f916(x100311,a903)))),f329(f329(f7(x100311,f916(x100311,a903),f916(x100311,a903)),f311(x100311)),f191(f916(x100311,a903))))),x100312),x100313),f329(f329(f23(f916(x100311,a903)),x100312),x100313))
% 191.26/191.46 [10063]~P1(f329(f329(f241(a1),f2(a1)),x100633))+P1(f329(f329(f241(a1),f329(f329(f23(a1),x100631),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x100631),x100632))),f80(a1))),x100633))),x100632))
% 191.26/191.46 [10304]~P1(f329(f329(f331(x103041),x103043),f318(x103041,x103042)))+P1(f329(f317(x103041,f329(f329(f7(x103041,f916(f915(x103041,x103041),a903),f916(x103041,a903)),f329(f329(f8(f916(x103041,f916(f916(f915(x103041,x103041),a903),a903)),f916(f916(f915(x103041,x103041),a903),f916(x103041,a903)),x103041),f7(x103041,f916(f915(x103041,x103041),a903),a903)),f329(f329(f8(f916(x103041,f915(x103041,x103041)),f916(x103041,f916(f916(f915(x103041,x103041),a903),a903)),x103041),f329(f8(f915(x103041,x103041),f916(f916(f915(x103041,x103041),a903),a903),x103041),f331(f915(x103041,x103041)))),f257(x103041,x103041)))),x103042)),x103043))
% 191.26/191.46 [10317]P1(f329(f329(f331(x103171),x103172),f318(x103171,x103173)))+~P1(f329(f317(x103171,f329(f329(f7(x103171,f916(f915(x103171,x103171),a903),f916(x103171,a903)),f329(f329(f8(f916(x103171,f916(f916(f915(x103171,x103171),a903),a903)),f916(f916(f915(x103171,x103171),a903),f916(x103171,a903)),x103171),f7(x103171,f916(f915(x103171,x103171),a903),a903)),f329(f329(f8(f916(x103171,f915(x103171,x103171)),f916(x103171,f916(f916(f915(x103171,x103171),a903),a903)),x103171),f329(f8(f915(x103171,x103171),f916(f916(f915(x103171,x103171),a903),a903),x103171),f331(f915(x103171,x103171)))),f257(x103171,x103171)))),x103173)),x103172))
% 191.26/191.46 [9903]~P1(f329(f62(x99031),f329(f267(x99031),x99033)))+P1(f329(f62(x99031),f329(f267(x99031),f329(f329(f18(x99031,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99031),a327),x99032)),x99033))))
% 191.26/191.46 [9904]~P1(f329(f62(x99041),f329(f267(x99041),x99042)))+P1(f329(f62(x99041),f329(f267(x99041),f329(f329(f18(x99041,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99041),a327),x99042)),x99043))))
% 191.26/191.46 [9998]P1(f329(f62(x99981),f329(f267(x99981),x99982)))+~P1(f329(f62(x99981),f329(f267(x99981),f329(f329(f18(x99981,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99981),a328),x99983)),x99982))))
% 191.26/191.46 [9999]P1(f329(f62(x99991),f329(f267(x99991),x99992)))+~P1(f329(f62(x99991),f329(f267(x99991),f329(f329(f18(x99991,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99991),a328),x99992)),x99993))))
% 191.26/191.46 [10284]~P1(f329(f62(x102841),x102842))+P1(f329(f62(f909(x102841)),f329(f267(f909(x102841)),f329(f329(f18(f909(x102841),a903,a903),f329(f329(f8(a903,f916(a903,a903),f909(x102841)),a327),f329(f329(f7(f909(x102841),f916(x102841,a903),a903),f329(f329(f8(f916(x102841,a903),f916(f916(x102841,a903),a903),f909(x102841)),f240(f916(x102841,a903))),f175(x102841))),x102842))),f329(f329(f7(f909(x102841),a908,a903),f329(f329(f8(a908,f916(a908,a903),f909(x102841)),a326),f192(f909(x102841)))),x102843)))))
% 191.26/191.46 [10285]~P1(f329(f62(x102851),x102852))+P1(f329(f62(f909(x102851)),f329(f267(f909(x102851)),f329(f329(f18(f909(x102851),a903,a903),f329(f329(f8(a903,f916(a903,a903),f909(x102851)),a327),f329(f329(f7(f909(x102851),f916(x102851,a903),a903),f329(f329(f8(f916(x102851,a903),f916(f916(x102851,a903),a903),f909(x102851)),f240(f916(x102851,a903))),f175(x102851))),x102852))),f329(f329(f7(f909(x102851),a908,a903),f329(f329(f8(a908,f916(a908,a903),f909(x102851)),f240(a908)),f192(f909(x102851)))),x102853)))))
% 191.26/191.46 [10012]~P116(x100121)+E(f329(f329(f249(x100121),x100122),f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100123)),f329(f329(f83(x100121),f329(f329(f249(x100121),x100122),x100123)),f329(f329(f249(x100121),x100122),x100123)))
% 191.26/191.46 [10044]~P88(x100441)+E(f329(f329(f249(x100441),f329(f329(f249(x100441),x100442),x100443)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x100441),x100442),f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100443)))
% 191.26/191.46 [10089]~P120(x100891)+E(f329(f329(f249(x100891),f329(f81(x100891),x100892)),f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100893)),f329(f329(f249(x100891),x100892),f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100893)))
% 191.26/191.46 [10232]~P121(x102321)+P1(f329(f329(f240(x102321),f2(x102321)),f329(f329(f82(x102321),f329(f329(f249(x102321),x102322),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102321),x102323),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))))
% 191.26/191.46 [10099]~P116(x100991)+E(f329(f329(f249(x100991),x100992),f329(a117,f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100993))),f329(f329(f83(x100991),x100992),f329(f329(f83(x100991),f329(f329(f249(x100991),x100992),x100993)),f329(f329(f249(x100991),x100992),x100993))))
% 191.26/191.46 [10148]~P88(x101481)+E(f329(f329(f83(x101481),x101482),f329(f329(f249(x101481),f329(f329(f249(x101481),x101482),x101483)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x101481),x101482),f329(a117,f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101483))))
% 191.26/191.46 [10186]~P121(x101861)+P1(f329(f329(f240(x101861),f2(x101861)),f329(f329(f249(x101861),x101862),f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x101863))))
% 191.26/191.46 [10262]~P97(x102621)+E(f329(f329(f82(x102621),f329(f329(f82(x102621),f329(f329(f249(x102621),x102622),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102621),x102623),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f329(f329(f83(x102621),f329(f329(f83(x102621),f329(f108(x102621),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102622)),x102623)),f329(f329(f249(x102621),f329(f329(f82(x102621),x102622),x102623)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.46 [10263]~P97(x102631)+E(f329(f329(f23(x102631),f329(f329(f82(x102631),f329(f329(f249(x102631),x102632),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102631),x102633),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f329(f329(f83(x102631),f329(f329(f83(x102631),f329(f108(x102631),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102632)),x102633)),f329(f329(f249(x102631),f329(f329(f23(x102631),x102632),x102633)),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.46 [4781]E(x47811,x47812)+~E(f32(x47813,x47811),f32(x47814,x47812))
% 191.26/191.46 [4782]E(x47821,x47822)+~E(f32(x47821,x47823),f32(x47822,x47824))
% 191.26/191.46 [4783]E(x47831,x47832)+~E(f31(x47833,x47831),f31(x47834,x47832))
% 191.26/191.46 [4784]E(x47841,x47842)+~E(f31(x47841,x47843),f31(x47842,x47844))
% 191.26/191.46 [5938]P48(f31(x59381,x59383),x59382,x59384,x59382)+P1(f329(x59381,x59382))
% 191.26/191.46 [7062]~P48(x70621,x70622,x70623,x70624)+P48(x70621,x70622,f329(a117,x70623),x70624)
% 191.26/191.46 [7893]P30(x78931,x78932,x78933,x78934)+~E(f656(x78934,x78933,x78932,x78931),f665(x78934,x78933,x78932,x78931))
% 191.26/191.46 [8199]P40(x81991,x81992,x81993,x81994,f118(x81992))+~E(x81994,f118(x81991))
% 191.26/191.46 [8200]P40(x82001,x82002,x82003,f118(x82001),x82004)+~E(x82004,f118(x82002))
% 191.26/191.46 [8750]~P40(x87502,x87503,x87504,x87501,f118(x87503))+E(x87501,f118(x87502))
% 191.26/191.46 [8751]~P40(x87513,x87512,x87514,f118(x87513),x87511)+E(x87511,f118(x87512))
% 191.26/191.46 [5163]~P22(x51633,x51631,x51634)+E(f329(f329(x51631,x51632),x51632),x51632)
% 191.26/191.46 [5419]P1(f329(x54192,x54194))+E(f329(f139(x54191,x54192),f172(x54191,x54193,x54194)),f118(x54191))
% 191.26/191.46 [5456]~E(x54564,f191(f916(x54561,a903)))+E(f329(f312(x54561,x54562,x54563),x54564),f191(f916(x54562,a903)))
% 191.26/191.46 [5696]~P1(f329(x56962,x56964))+E(f329(f139(x56961,x56962),f172(x56961,x56963,x56964)),f172(x56961,x56963,x56964))
% 191.26/191.46 [5726]~E(f329(f312(x57262,x57263,x57264),x57261),f191(f916(x57263,a903)))+E(x57261,f191(f916(x57262,a903)))
% 191.26/191.46 [6017]~P112(x60172)+E(f329(f329(f151(x60171,x60172,x60173),x60174),f118(x60171)),f329(f329(f154(x60171),x60174),f118(x60171)))
% 191.26/191.46 [6377]~E(x63771,f191(f916(x63772,a903)))+~P1(f329(f63(x63772,x63773,x63771),x63774))
% 191.26/191.46 [6399]~P66(x63991,x63993,x63994,x63992)+P1(f329(f62(x63991),x63992))
% 191.26/191.46 [6401]~P66(x64011,x64013,x64012,x64014)+P1(f329(f62(x64011),x64012))
% 191.26/191.46 [6408]~P66(x64082,x64083,x64084,x64081)+~E(x64081,f191(f916(x64082,a903)))
% 191.26/191.46 [6439]~P114(x64391)+E(f329(f329(f106(f916(x64391,a903)),f329(f304(x64391,x64392),x64393)),f305(x64391,x64393,x64394)),f191(f916(x64391,a903)))
% 191.26/191.46 [6466]~P1(f329(f329(x64663,x64664),x64662))+P1(f329(f329(f331(x64661),x64662),f295(x64661,x64663,x64664)))
% 191.26/191.46 [6467]~P1(f329(f329(x64673,x64674),x64672))+P1(f329(f329(f331(x64671),x64672),f296(x64671,x64673,x64674)))
% 191.26/191.46 [6468]~P1(f329(f329(x64683,x64682),x64684))+P1(f329(f329(f331(x64681),x64682),f297(x64681,x64683,x64684)))
% 191.26/191.46 [6469]~P1(f329(f329(x64693,x64692),x64694))+P1(f329(f329(f331(x64691),x64692),f300(x64691,x64693,x64694)))
% 191.26/191.46 [6613]~P114(x66131)+E(f329(f329(f106(f916(x66131,a903)),f308(x66131,x66132,x66133)),f305(x66131,x66133,x66134)),f191(f916(x66131,a903)))
% 191.26/191.46 [6614]~P114(x66141)+E(f329(f329(f106(f916(x66141,a903)),f307(x66141,x66142,x66143)),f308(x66141,x66143,x66144)),f191(f916(x66141,a903)))
% 191.26/191.46 [6615]~P114(x66151)+E(f329(f329(f106(f916(x66151,a903)),f307(x66151,x66152,x66153)),f307(x66151,x66153,x66154)),f191(f916(x66151,a903)))
% 191.26/191.46 [6616]~P114(x66161)+E(f329(f329(f106(f916(x66161,a903)),f305(x66161,x66162,x66163)),f308(x66161,x66163,x66164)),f191(f916(x66161,a903)))
% 191.26/191.46 [6617]~P114(x66171)+E(f329(f329(f106(f916(x66171,a903)),f305(x66171,x66172,x66173)),f307(x66171,x66173,x66174)),f191(f916(x66171,a903)))
% 191.26/191.46 [6654]P1(f329(f329(x66541,x66542),f561(x66542,x66541)))+~P1(f329(f254(x66543,x66544,x66541),x66542))
% 191.26/191.46 [6734]~P112(x67342)+E(f329(f175(x67341),f153(x67341,x67342,x67343,x67344)),f329(f175(x67341),x67344))
% 191.26/191.46 [6785]~P109(x67851)+E(f193(x67851,x67852,f329(a117,x67853),x67854),f193(x67851,x67852,x67853,f329(x67852,x67854)))
% 191.26/191.46 [6845]~P1(f329(f329(f331(x68454),x68453),f295(x68454,x68451,x68452)))+P1(f329(f329(x68451,x68452),x68453))
% 191.26/191.46 [6846]~P1(f329(f329(f331(x68464),x68463),f296(x68464,x68461,x68462)))+P1(f329(f329(x68461,x68462),x68463))
% 191.26/191.46 [6847]~P1(f329(f329(f331(x68474),x68472),f297(x68474,x68471,x68473)))+P1(f329(f329(x68471,x68472),x68473))
% 191.26/191.46 [6848]~P1(f329(f329(f331(x68484),x68482),f300(x68484,x68481,x68483)))+P1(f329(f329(x68481,x68482),x68483))
% 191.26/191.46 [6923]E(f329(f36(f914(x69231,x69232)),f315(x69231,x69232,x69233,x69234)),f2(a908))+P1(f329(f62(x69232),x69234))
% 191.26/191.46 [6924]E(f329(f36(f914(x69241,x69242)),f315(x69241,x69242,x69243,x69244)),f2(a908))+P1(f329(f62(x69241),x69243))
% 191.26/191.46 [7124]~P19(x71244,x71241,x71242)+E(f329(f74(x71241,x71241,x71241,f329(x71242,x71243)),f329(x71242,x71243)),f329(x71242,x71243))
% 191.26/191.46 [7367]E(f280(x73671,x73672,x73673,x73674),f329(f257(f916(a104,f916(a903,f912(f910(x73671)))),f915(a104,a104)),f42(x73671)))+~P1(f329(f329(f240(a104),x73673),f2(a104)))
% 191.26/191.46 [7429]~P48(f329(a26,x74291),x74292,f329(a117,x74293),x74294)+P48(f329(f236(a904),f329(a27,x74291)),x74292,x74293,x74294)
% 191.26/191.46 [7463]P48(f329(a26,x74631),x74632,f329(a117,x74633),x74634)+~P48(f329(f236(a904),f329(a27,x74631)),x74632,x74633,x74634)
% 191.26/191.46 [7749]~P48(f329(a26,x77494),x77493,x77492,x77491)+E(f329(a117,f447(x77491,x77492,x77493,x77494)),x77492)
% 191.26/191.46 [8021]~E(x80212,x80213)+P1(f329(f329(f331(f915(x80211,x80211)),f329(f329(f257(x80211,x80211),x80212),x80213)),f309(x80211,x80214)))
% 191.26/191.46 [8050]~P30(x80501,x80502,x80503,f247(f916(x80501,a903)))+E(f329(f79(x80501,x80502,f247(f916(x80501,a903)),x80503),f329(x80503,x80504)),x80504)
% 191.26/191.46 [8051]~P30(x80511,x80512,x80513,f247(f916(x80511,a903)))+E(f329(f94(x80511,x80512,f247(f916(x80511,a903)),x80513),f329(x80513,x80514)),x80514)
% 191.26/191.46 [8144]~P1(f329(f329(f331(f909(x81441)),f329(f329(f154(x81441),x81444),x81442)),f164(x81441,x81443)))+P1(f329(f329(f331(f909(x81441)),x81442),f164(x81441,x81443)))
% 191.26/191.46 [8145]~P1(f329(f329(f331(f909(x81451)),f329(f329(f137(x81451),x81454),x81452)),f164(x81451,x81453)))+P1(f329(f329(f331(f909(x81451)),x81452),f164(x81451,x81453)))
% 191.26/191.46 [8146]~P1(f329(f329(f331(f909(x81461)),f329(f329(f137(x81461),x81462),x81464)),f164(x81461,x81463)))+P1(f329(f329(f331(f909(x81461)),x81462),f164(x81461,x81463)))
% 191.26/191.46 [8162]~P112(x81621)+P18(x81621,f329(f329(f157(x81622,x81621),x81623),f153(x81622,x81621,x81623,x81624)))
% 191.26/191.46 [8230]~P48(f329(a26,x82301),x82302,x82304,x82303)+P48(f329(f236(a904),f329(a27,x82301)),x82302,f447(x82303,x82304,x82302,x82301),x82303)
% 191.26/191.46 [8264]P30(x82644,x82643,x82641,x82642)+E(f329(x82641,f656(x82642,x82641,x82643,x82644)),f329(x82641,f665(x82642,x82641,x82643,x82644)))
% 191.26/191.46 [8372]~P30(x83722,x83721,x83724,x83723)+P30(x83721,x83722,f79(x83722,x83721,x83723,x83724),f329(f312(x83722,x83721,x83724),x83723))
% 191.26/191.46 [8513]P43(f915(x85132,x85134),f283(x85132,x85134,x85131,x85133))+P1(f329(x85131,f557(x85132,x85133,x85134,x85131)))
% 191.26/191.46 [8640]E(x86401,x86402)+~P1(f329(f329(f331(f915(x86403,x86403)),f329(f329(f257(x86403,x86403),x86401),x86402)),f268(x86403,x86404)))
% 191.26/191.46 [8705]~P1(f329(f62(f914(x87053,x87051)),f315(x87053,x87051,x87054,x87052)))+P1(f329(f62(x87051),x87052))
% 191.26/191.46 [8706]~P1(f329(f62(f914(x87061,x87063)),f315(x87061,x87063,x87062,x87064)))+P1(f329(f62(x87061),x87062))
% 191.26/191.46 [8883]P43(f915(x88831,x88832),f283(x88831,x88832,x88833,x88834))+~P43(x88832,f329(x88834,f557(x88831,x88834,x88832,x88833)))
% 191.26/191.46 [9455]E(f329(f329(f162(x94551,x94552),f694(x94553,x94554,x94552,x94551)),f695(x94553,x94554,x94552,x94551)),x94554)+~P1(f329(f329(f331(f915(f909(x94551),f909(x94551))),f329(f329(f257(f909(x94551),f909(x94551)),x94552),x94554)),f160(x94551,x94553)))
% 191.26/191.46 [9460]~P1(f329(f329(f331(f915(f909(x94601),f909(x94601))),f329(f329(f257(f909(x94601),f909(x94601)),x94602),x94603)),f148(x94601,x94604)))+P1(f329(f329(f331(f915(f909(x94601),f909(x94601))),f329(f329(f257(f909(x94601),f909(x94601)),x94602),x94603)),f150(x94601,x94604)))
% 191.26/191.46 [9569]P1(f329(f62(x95691),x95692))+~P1(f329(f329(f331(f915(f916(x95691,a903),f916(x95691,a903))),f329(f329(f257(f916(x95691,a903),f916(x95691,a903)),x95693),x95692)),f320(x95691,x95694)))
% 191.26/191.46 [9570]P1(f329(f62(x95701),x95702))+~P1(f329(f329(f331(f915(f916(x95701,a903),f916(x95701,a903))),f329(f329(f257(f916(x95701,a903),f916(x95701,a903)),x95702),x95703)),f320(x95701,x95704)))
% 191.26/191.46 [9573]~E(x95731,f191(f916(x95732,a903)))+~P1(f329(f329(f331(f915(f916(x95732,a903),f916(x95732,a903))),f329(f329(f257(f916(x95732,a903),f916(x95732,a903)),x95733),x95731)),f320(x95732,x95734)))
% 191.26/191.46 [10197]P16(x101971,x101972,x101973,x101974)+~P1(f329(f329(f262(x101971,x101971,a903),f329(f329(f7(x101971,f916(x101971,x101972),f916(x101971,a903)),f329(f329(f8(f916(x101972,a903),f916(f916(x101971,x101972),f916(x101971,a903)),x101971),f8(x101972,a903,x101971)),f329(f329(f8(x101972,f916(x101972,a903),x101971),a326),x101974))),x101974)),f476(x101974,x101973,x101972,x101971)))
% 191.26/191.46 [5064]~E(x50642,f118(x50641))+E(f329(f329(f162(x50641,x50642),x50643),x50644),f118(x50641))
% 191.26/191.46 [5065]~E(x50654,f118(x50651))+E(f329(f329(f157(x50651,x50652),x50653),x50654),f118(x50652))
% 191.26/191.46 [5302]E(x53021,f118(x53022))+~E(f329(f329(f157(x53022,x53023),x53024),x53021),f118(x53023))
% 191.26/191.46 [5303]E(x53031,f118(x53032))+~E(f329(f329(f162(x53032,x53031),x53033),x53034),f118(x53032))
% 191.26/191.46 [5339]E(x53391,x53392)+~E(f329(f329(f137(x53393),x53394),x53391),f329(f329(f137(x53393),x53394),x53392))
% 191.26/191.46 [5340]E(x53401,x53402)+~E(f329(f329(f137(x53403),x53401),x53404),f329(f329(f137(x53403),x53402),x53404))
% 191.26/191.46 [5492]P1(f329(x54923,x54922))+E(f173(x54921,x54922,f329(f139(x54921,x54923),x54924)),f329(f139(x54921,x54923),x54924))
% 191.26/191.46 [5494]~P1(f329(x54942,x54943))+P39(x54941,x54942,f329(f329(f154(x54941),x54943),x54944))
% 191.26/191.46 [5503]E(x55031,x55032)+~E(f142(a908,f329(f304(a908,x55031),x55033)),f329(f329(f154(a908),x55032),x55034))
% 191.26/191.46 [5549]~P32(x55492,x55493)+P32(x55491,f329(f329(f75(x55492,x55491),x55493),x55494))
% 191.26/191.46 [5550]~P43(x55502,x55503)+P43(x55501,f329(f329(f290(x55502,x55501),x55503),x55504))
% 191.26/191.46 [5551]~P44(x55512,x55513)+P44(x55511,f329(f329(f290(x55512,x55511),x55513),x55514))
% 191.26/191.46 [5552]~P59(x55522,x55523)+P59(x55521,f329(f329(f290(x55522,x55521),x55523),x55524))
% 191.26/191.46 [5680]~P39(x56801,x56802,x56804)+P39(x56801,x56802,f329(f329(f154(x56801),x56803),x56804))
% 191.26/191.46 [5681]~P39(x56811,x56812,x56814)+P39(x56811,x56812,f329(f329(f137(x56811),x56813),x56814))
% 191.26/191.46 [5682]~P39(x56821,x56822,x56823)+P39(x56821,x56822,f329(f329(f137(x56821),x56823),x56824))
% 191.26/191.46 [5770]~E(x57701,f118(x57702))+~E(f329(f329(f137(x57702),x57703),f329(f329(f154(x57702),x57704),f118(x57702))),x57701)
% 191.26/191.46 [5795]~P37(x57953,x57951,f329(f329(f154(x57953),x57952),x57954))+P1(f329(x57951,x57952))
% 191.26/191.46 [5805]E(f119(x58051,x58052),x58053)+~E(f329(f329(f137(x58051),x58053),f329(f329(f154(x58051),x58054),f118(x58051))),x58052)
% 191.26/191.46 [5806]E(f147(x58061,x58062),x58063)+~E(f329(f329(f137(x58061),x58064),f329(f329(f154(x58061),x58063),f118(x58061))),x58062)
% 191.26/191.46 [5914]~E(f142(a908,f329(f304(a908,x59141),x59142)),f329(f329(f154(a908),x59143),x59144))+P1(f329(f329(f241(a908),x59141),x59142))
% 191.26/191.46 [5923]P37(x59231,x59232,x59233)+~P37(x59231,x59232,f329(f329(f154(x59231),x59234),x59233))
% 191.26/191.46 [5924]P37(x59241,x59242,x59243)+~P37(x59241,x59242,f329(f329(f137(x59241),x59244),x59243))
% 191.26/191.46 [5925]P37(x59251,x59252,x59253)+~P37(x59251,x59252,f329(f329(f137(x59251),x59253),x59254))
% 191.26/191.46 [6123]E(x61231,f329(f329(f137(x61232),f329(f171(x61232),x61233)),f329(f329(f154(x61232),x61234),f118(x61232))))+~E(f329(f171(x61232),x61231),f329(f329(f154(x61232),x61234),x61233))
% 191.26/191.46 [6298]~P114(x62981)+E(f329(f329(f106(f916(x62981,a903)),f329(f304(x62981,x62982),x62983)),f329(f304(x62981,x62983),x62984)),f191(f916(x62981,a903)))
% 191.26/191.46 [6310]E(f329(f329(f167(x63101),f172(x63101,x63102,x63103)),x63104),x63103)+~P1(f329(f329(f241(a908),x63104),x63102))
% 191.26/191.46 [6337]~P5(x63371)+E(f329(f168(x63371),f329(f329(f157(a1,x63371),x63372),f181(x63373,x63374))),f329(f329(f6(a1,x63371),x63372),f329(f175(a1),f181(x63373,x63374))))
% 191.26/191.46 [6338]~P5(x63381)+E(f329(f329(f6(a1,x63381),x63382),f329(f175(a1),f181(x63383,x63384))),f329(f168(x63381),f329(f329(f157(a1,x63381),x63382),f181(x63383,x63384))))
% 191.26/191.46 [6479]~E(x64792,f329(f329(f137(x64791),f329(f171(x64791),x64794)),f329(f329(f154(x64791),x64793),f118(x64791))))+E(f329(f171(x64791),x64792),f329(f329(f154(x64791),x64793),x64794))
% 191.26/191.46 [6497]~P24(x64972,x64973,x64974,x64971)+E(f329(x64971,f191(f916(x64972,a903))),f33(x64973))
% 191.26/191.46 [6524]~P114(x65241)+E(f329(f329(f106(f916(x65241,a903)),f308(x65241,x65242,x65243)),f329(f304(x65241,x65243),x65244)),f191(f916(x65241,a903)))
% 191.26/191.46 [6606]~P48(x66061,x66062,x66064,x66063)+P1(f329(f329(f197(x66061),x66062),x66063))
% 191.26/191.46 [6735]E(x67351,f191(f916(x67352,a903)))+~E(f315(x67353,x67352,x67354,x67351),f191(f916(f914(x67353,x67352),a903)))
% 191.26/191.46 [6736]E(x67361,f191(f916(x67362,a903)))+~E(f315(x67362,x67363,x67361,x67364),f191(f916(f914(x67362,x67363),a903)))
% 191.26/191.46 [6806]~P112(x68062)+E(f329(f192(f909(x68061)),f153(x68061,x68062,x68063,x68064)),f329(f192(f909(x68061)),x68064))
% 191.26/191.46 [6817]~P1(f329(f255(x68173,x68174,x68171),x68172))+P1(f329(f329(x68171,f550(x68172,x68171)),x68172))
% 191.26/191.46 [6856]~P1(f329(f62(x68562),x68564))+P1(f329(f62(x68561),f329(f312(x68562,x68561,x68563),x68564)))
% 191.26/191.46 [7085]~P30(x70852,x70851,x70853,x70854)+E(f329(f36(x70851),f329(f312(x70852,x70851,x70853),x70854)),f329(f36(x70852),x70854))
% 191.26/191.46 [7103]E(f329(f312(x71031,x71032,x71033),f329(f313(x71031,x71032,x71033),x71034)),x71034)+~E(f329(f312(x71031,x71032,x71033),f247(f916(x71031,a903))),f247(f916(x71032,a903)))
% 191.26/191.46 [7522]~P30(x75221,x75222,x75223,f247(f916(x75221,a903)))+E(f329(f313(x75221,x75222,x75223),f329(f312(x75221,x75222,x75223),x75224)),x75224)
% 191.26/191.46 [7808]E(x78081,x78082)+~P1(f329(f329(f331(x78083),x78081),f329(f175(x78083),f172(x78083,x78084,x78082))))
% 191.26/191.46 [7817]~E(x78171,f2(a908))+~P1(f329(f329(f331(x78172),x78173),f329(f175(x78172),f172(x78172,x78171,x78174))))
% 191.26/191.46 [7851]P1(f329(x78511,x78512))+~P1(f329(f329(f331(x78513),x78512),f329(f175(x78513),f180(x78513,x78511,x78514))))
% 191.26/191.46 [7967]~P1(f329(f329(f331(f909(x79671)),f329(f329(f154(x79671),x79672),x79674)),f164(x79671,x79673)))+P1(f329(f329(f331(x79671),x79672),x79673))
% 191.26/191.46 [8098]~P1(f329(f329(f331(x80981),x80982),f329(f175(x80981),f179(x80981,x80983,x80984))))+P1(f329(f329(f331(x80981),x80982),f329(f175(x80981),x80983)))
% 191.26/191.46 [8099]~P1(f329(f329(f331(x80991),x80992),f329(f175(x80991),f173(x80991,x80994,x80993))))+P1(f329(f329(f331(x80991),x80992),f329(f175(x80991),x80993)))
% 191.26/191.46 [8100]~P1(f329(f329(f331(x81001),x81002),f329(f175(x81001),f180(x81001,x81004,x81003))))+P1(f329(f329(f331(x81001),x81002),f329(f175(x81001),x81003)))
% 191.26/191.46 [8110]E(f329(f192(f909(x81101)),x81102),x81103)+~P1(f329(f329(f331(f909(x81101)),x81102),f329(f175(f909(x81101)),f56(x81101,x81103,x81104))))
% 191.26/191.46 [8214]P1(f329(x82143,x82142))+E(f329(f139(x82141,f329(f329(f8(a903,a903,x82141),a324),f329(a326,x82142))),f329(f139(x82141,x82143),x82144)),f329(f139(x82141,x82143),x82144))
% 191.26/191.46 [8323]E(f329(f329(f167(x83231),f180(x83231,x83232,x83233)),x83234),f329(f329(f167(x83231),x83233),x83234))+~P1(f329(f329(f241(a908),x83234),f329(f192(f909(x83231)),f180(x83231,x83232,x83233))))
% 191.26/191.46 [8410]~P5(x84101)+E(f329(f329(f6(a908,x84101),f329(f329(f8(a908,x84101,a908),x84102),a117)),f329(f304(a908,x84103),x84104)),f329(f329(f6(a908,x84101),x84102),f329(f304(a908,f329(a117,x84103)),f329(a117,x84104))))
% 191.26/191.46 [8420]~P5(x84201)+E(f329(f329(f6(a908,x84201),f329(f329(f8(a908,x84201,a908),x84202),a117)),f305(a908,x84203,x84204)),f329(f329(f6(a908,x84201),x84202),f305(a908,f329(a117,x84203),f329(a117,x84204))))
% 191.26/191.46 [8550]~P30(x85501,x85503,x85504,f247(f916(x85501,a903)))+P30(x85501,f916(x85502,x85503),f329(f329(f8(x85503,f916(x85502,x85503),x85501),f16(x85503,x85502)),x85504),f247(f916(x85501,a903)))
% 191.26/191.46 [8648]~P30(x86482,x86481,x86484,x86483)+E(f329(f312(x86481,x86482,f79(x86482,x86481,x86483,x86484)),f329(f312(x86482,x86481,x86484),x86483)),x86483)
% 191.26/191.46 [8707]~P1(f329(f329(f331(f915(x87071,x87071)),f329(f329(f257(x87071,x87071),x87072),x87074)),f268(x87071,x87073)))+P1(f329(f329(f331(x87071),x87072),x87073))
% 191.26/191.46 [8820]~P30(x88202,x88201,x88203,f247(f916(x88202,a903)))+E(f329(f312(x88201,x88202,f94(x88202,x88201,f247(f916(x88202,a903)),x88203)),f329(f312(x88202,x88201,x88203),x88204)),x88204)
% 191.26/191.46 [8922]~E(f329(f329(f6(x89221,a908),x89224),x89223),f329(a117,x89222))+P1(f329(f329(f331(x89221),f575(x89222,x89223,x89224,x89221)),x89223))
% 191.26/191.46 [8941]~E(f329(f329(f6(x89414,a908),x89411),x89413),f329(a117,x89412))+P1(f329(f329(f241(a908),f2(a908)),f329(x89411,f575(x89412,x89413,x89411,x89414))))
% 191.26/191.46 [8952]~P1(f329(f62(x89522),x89524))+P1(f329(f329(f240(a908),f329(f36(x89521),f329(f312(x89522,x89521,x89523),x89524))),f329(f36(x89522),x89524)))
% 191.26/191.46 [8953]E(f329(f329(f257(x89531,x89532),f669(x89533,x89534,x89532,x89531)),f670(x89533,x89534,x89532,x89531)),x89534)+~P1(f329(f329(f331(f915(x89531,x89532)),x89534),f329(f289(x89532,x89531),x89533)))
% 191.26/191.46 [8961]P30(x89611,x89612,x89613,x89614)+P1(f329(f329(f331(x89611),f656(x89614,x89613,x89612,x89611)),x89614))
% 191.26/191.46 [8962]P30(x89621,x89622,x89623,x89624)+P1(f329(f329(f331(x89621),f665(x89624,x89623,x89622,x89621)),x89624))
% 191.26/191.46 [9030]P16(x90301,x90302,x90303,x90304)+P1(f329(f329(f331(f915(x90301,x90301)),f476(x90304,x90303,x90302,x90301)),x90303))
% 191.26/191.46 [9088]P1(f329(x90881,x90882))+~P1(f329(x90881,f329(f329(f257(x90883,x90884),f364(x90884,x90883,x90881)),f365(x90884,x90883,x90881))))
% 191.26/191.46 [9104]E(f329(f192(f909(x91041)),x91042),f329(f192(f909(x91041)),x91043))+~P1(f329(f329(f331(f915(f909(x91041),f909(x91041))),f329(f329(f257(f909(x91041),f909(x91041)),x91042),x91043)),f148(x91041,x91044)))
% 191.26/191.46 [9105]E(f329(f192(f909(x91051)),x91052),f329(f192(f909(x91051)),x91053))+~P1(f329(f329(f331(f915(f909(x91051),f909(x91051))),f329(f329(f257(f909(x91051),f909(x91051)),x91052),x91053)),f160(x91051,x91054)))
% 191.26/191.46 [9108]E(f329(f192(f909(x91081)),x91082),f329(f192(f909(x91081)),x91083))+~P1(f329(f329(f331(f915(f909(x91081),f909(x91081))),f329(f329(f257(f909(x91081),f909(x91081)),x91082),x91083)),f161(x91081,x91084)))
% 191.26/191.46 [9181]P1(f329(f329(f240(a908),f158(x91811,x91812,x91813)),f158(x91811,x91814,x91813)))+P1(f329(f329(f331(x91811),f693(x91814,x91812,x91813,x91811)),f329(f175(x91811),x91813)))
% 191.26/191.46 [9184]E(f329(f192(f909(x91841)),x91842),f329(f192(f909(x91841)),x91843))+~P1(f329(f329(f331(f915(f909(x91841),f909(x91841))),f329(f329(f257(f909(x91841),f909(x91841)),x91842),x91843)),f309(f909(x91841),f160(x91841,x91844))))
% 191.26/191.46 [9426]~P30(x94261,x94262,x94263,x94264)+~P1(f329(f329(f241(a908),f329(f36(x94262),f329(f312(x94261,x94262,x94263),x94264))),f329(f36(x94261),x94264)))
% 191.26/191.46 [9473]~P1(f329(f329(f331(f915(f909(x94731),f909(x94731))),f329(f329(f257(f909(x94731),f909(x94731)),x94732),x94733)),f160(x94731,x94734)))+P1(f329(f329(f331(f915(f909(x94731),f909(x94731))),f329(f329(f257(f909(x94731),f909(x94731)),x94732),x94733)),f161(x94731,f309(x94731,x94734))))
% 191.26/191.46 [9477]~P1(f329(f329(f331(f915(f909(x94771),f909(x94771))),f329(f329(f257(f909(x94771),f909(x94771)),x94772),x94773)),f161(x94771,x94774)))+P1(f329(f329(f331(f915(f909(x94771),f909(x94771))),f329(f329(f257(f909(x94771),f909(x94771)),x94772),x94773)),f309(f909(x94771),f160(x94771,x94774))))
% 191.26/191.46 [9493]P1(f329(f329(f331(f915(x94931,x94931)),f329(f329(f257(x94931,x94931),x94932),x94933)),f309(x94931,x94934)))+~P1(f329(f329(f331(f915(x94931,x94931)),f329(f329(f257(x94931,x94931),x94932),x94933)),f329(f329(f291(x94931,x94931,x94931),x94934),f309(x94931,x94934))))
% 191.26/191.46 [9679]E(f329(f329(f137(x96791),f709(x96792,x96793,x96794,x96791)),f329(f329(f154(x96791),f710(x96792,x96793,x96794,x96791)),f712(x96792,x96793,x96794,x96791))),x96794)+~P1(f329(f329(f331(f915(f909(x96791),f909(x96791))),f329(f329(f257(f909(x96791),f909(x96791)),x96794),x96793)),f160(x96791,x96792)))
% 191.26/191.46 [9680]E(f329(f329(f137(x96801),f709(x96802,x96803,x96804,x96801)),f329(f329(f154(x96801),f711(x96802,x96803,x96804,x96801)),f712(x96802,x96803,x96804,x96801))),x96803)+~P1(f329(f329(f331(f915(f909(x96801),f909(x96801))),f329(f329(f257(f909(x96801),f909(x96801)),x96804),x96803)),f160(x96801,x96802)))
% 191.26/191.46 [9760]P1(f329(f329(f331(f915(x97601,x97601)),f329(f329(f257(x97601,x97601),x97602),f618(x97603,x97604,x97602,x97601))),f309(x97601,x97603)))+~P1(f329(f329(f331(f915(x97601,x97601)),f329(f329(f257(x97601,x97601),x97602),x97604)),f329(f329(f291(x97601,x97601,x97601),x97603),f309(x97601,x97603))))
% 191.26/191.46 [9828]P1(f329(f329(f240(a908),f158(x98281,x98282,x98283)),f158(x98281,x98284,x98283)))+~P1(f329(f329(f241(a908),f329(x98282,f693(x98284,x98282,x98283,x98281))),f329(x98284,f693(x98284,x98282,x98283,x98281))))
% 191.26/191.46 [9899]P1(f329(f329(f331(f915(x98991,x98991)),f329(f329(f257(x98991,x98991),f617(x98992,x98993,x98994,x98991)),x98993)),f309(x98991,x98992)))+~P1(f329(f329(f331(f915(x98991,x98991)),f329(f329(f257(x98991,x98991),x98994),x98993)),f329(f329(f291(x98991,x98991,x98991),x98992),f309(x98991,x98992))))
% 191.26/191.46 [5321]~E(x53212,x53213)+E(f173(x53211,x53212,f329(f329(f154(x53211),x53213),x53214)),x53214)
% 191.26/191.46 [5449]P1(f329(x54492,x54493))+E(f180(x54491,x54492,f329(f329(f154(x54491),x54493),x54494)),f118(x54491))
% 191.26/191.46 [5515]~P92(x55152)+E(f329(f329(f81(f916(x55151,x55152)),x55153),x55154),f329(f81(x55152),f329(x55153,x55154)))
% 191.26/191.46 [5526]~E(x55262,f2(a908))+E(f329(f329(f141(x55261),x55262),f329(f329(f154(x55261),x55263),x55264)),f329(f329(f154(x55261),x55263),x55264))
% 191.26/191.46 [5527]P1(f329(x55272,x55273))+E(f329(f139(x55271,x55272),f329(f329(f154(x55271),x55273),x55274)),f329(f139(x55271,x55272),x55274))
% 191.26/191.46 [5663]~E(x56632,x56634)+P1(f329(f329(f329(f311(x56631),x56632),x56633),x56634))
% 191.26/191.46 [5671]E(x56711,f118(x56712))+E(f147(x56713,f329(f329(f157(x56712,x56713),x56714),x56711)),f329(x56714,f147(x56712,x56711)))
% 191.26/191.46 [5685]~E(x56851,f64(x56852,x56854))+E(f329(x56851,f329(f329(f311(x56852),x56853),f191(f916(x56852,a903)))),x56853)
% 191.26/191.46 [5721]E(x57211,f118(x57212))+E(f329(f144(x57213),f329(f329(f157(x57212,x57213),x57214),x57211)),f329(x57214,f329(f144(x57212),x57211)))
% 191.26/191.46 [5825]~P1(f329(x58253,x58254))+P1(f329(f329(f329(f311(x58251),x58252),x58253),x58254))
% 191.26/191.46 [5944]~P23(x59442,x59444,x59441)+E(f329(x59441,f329(f329(f311(x59442),x59443),f191(f916(x59442,a903)))),x59443)
% 191.26/191.46 [5971]~E(x59712,x59713)+P1(f329(f329(f331(x59711),x59712),f329(f329(f311(x59711),x59713),x59714)))
% 191.26/191.46 [5975]~P2(x59751)+E(f329(f329(f115(x59751),x59752),f329(f329(f115(x59751),x59753),x59754)),f329(f329(f115(x59751),x59753),f329(f329(f115(x59751),x59752),x59754)))
% 191.26/191.46 [5977]~P103(x59771)+E(f329(f329(f115(x59771),x59772),f329(f329(f115(x59771),x59773),x59774)),f329(f329(f115(x59771),x59773),f329(f329(f115(x59771),x59772),x59774)))
% 191.26/191.46 [5978]~P116(x59781)+E(f329(f329(f82(x59781),x59782),f329(f329(f82(x59781),x59783),x59784)),f329(f329(f82(x59781),x59783),f329(f329(f82(x59781),x59782),x59784)))
% 191.26/191.46 [5979]~P2(x59791)+E(f329(f329(f106(x59791),x59792),f329(f329(f106(x59791),x59793),x59794)),f329(f329(f106(x59791),x59793),f329(f329(f106(x59791),x59792),x59794)))
% 191.26/191.46 [5981]~P104(x59811)+E(f329(f329(f106(x59811),x59812),f329(f329(f106(x59811),x59813),x59814)),f329(f329(f106(x59811),x59813),f329(f329(f106(x59811),x59812),x59814)))
% 191.26/191.46 [5982]~P116(x59821)+E(f329(f329(f83(x59821),x59822),f329(f329(f83(x59821),x59823),x59824)),f329(f329(f83(x59821),x59823),f329(f329(f83(x59821),x59822),x59824)))
% 191.26/191.46 [5984]~P112(x59841)+E(f329(f329(f238(x59841),x59842),f329(f329(f238(x59841),x59843),x59844)),f329(f329(f238(x59841),x59843),f329(f329(f238(x59841),x59842),x59844)))
% 191.26/191.46 [5986]~P112(x59861)+E(f329(f329(f239(x59861),x59862),f329(f329(f239(x59861),x59863),x59864)),f329(f329(f239(x59861),x59863),f329(f329(f239(x59861),x59862),x59864)))
% 191.26/191.46 [5991]E(x59911,x59912)+E(f173(x59913,x59911,f329(f329(f154(x59913),x59912),x59914)),f329(f329(f154(x59913),x59912),f173(x59913,x59911,x59914)))
% 191.26/191.46 [6004]~P1(f329(x60042,x60043))+E(f329(f139(x60041,x60042),f329(f329(f154(x60041),x60043),x60044)),f329(f329(f154(x60041),x60043),f329(f139(x60041,x60042),x60044)))
% 191.26/191.46 [6143]~P1(f329(x61432,x61433))+E(f180(x61431,x61432,f329(f329(f154(x61431),x61433),x61434)),f329(f329(f154(x61431),x61433),f180(x61431,x61432,x61434)))
% 191.26/191.46 [6193]P29(x61931,x61932,x61933)+~P29(x61931,x61932,f329(f329(f311(f907(x61931)),x61934),x61933))
% 191.26/191.46 [6209]E(x62091,f191(f916(x62092,a903)))+E(f329(f329(f40(x62092,f916(x62093,a903)),x62091),f329(f16(f916(x62093,a903),x62092),x62094)),x62094)
% 191.26/191.46 [6210]E(x62101,f191(f916(x62102,a903)))+E(f329(f329(f41(x62102,f916(x62103,a903)),x62101),f329(f16(f916(x62103,a903),x62102),x62104)),x62104)
% 191.26/191.46 [6219]~E(x62194,f191(f916(x62192,a903)))+E(f329(f329(f259(x62191,x62192),x62193),f329(f16(f916(x62192,a903),x62191),x62194)),f191(f916(f915(x62191,x62192),a903)))
% 191.26/191.46 [6220]~E(x62203,f191(f916(x62201,a903)))+E(f329(f329(f259(x62201,x62202),x62203),f329(f16(f916(x62202,a903),x62201),x62204)),f191(f916(f915(x62201,x62202),a903)))
% 191.26/191.46 [6271]E(x62711,f2(a908))+E(f329(f329(f141(x62712),x62711),f329(f329(f154(x62712),x62713),x62714)),f329(f329(f141(x62712),f329(f329(f23(a908),x62711),f80(a908))),x62714))
% 191.26/191.46 [6292]E(x62921,f191(f916(x62922,a903)))+E(f329(f312(x62922,x62923,f329(f16(x62923,x62922),x62924)),x62921),f329(f329(f311(x62923),x62924),f191(f916(x62923,a903))))
% 191.26/191.46 [6295]E(f329(f313(x62951,x62952,f329(f16(x62952,x62951),x62953)),x62954),f191(f916(x62951,a903)))+P1(f329(f329(f331(x62952),x62953),x62954))
% 191.26/191.46 [6361]~E(x63613,f191(f916(x63611,a903)))+E(f329(f329(f40(x63611,f916(x63612,a903)),x63613),f329(f16(f916(x63612,a903),x63611),x63614)),f191(f916(x63612,a903)))
% 191.26/191.46 [6362]~E(x63623,f191(f916(x63621,a903)))+E(f329(f329(f41(x63621,f916(x63622,a903)),x63623),f329(f16(f916(x63622,a903),x63621),x63624)),f247(f916(x63622,a903)))
% 191.26/191.46 [6364]~P68(x63641)+E(f46(x63641,f329(f329(f83(x63641),x63642),x63643),f329(f329(f83(x63641),x63642),x63644)),f329(f329(f83(x63641),x63642),f46(x63641,x63643,x63644)))
% 191.26/191.46 [6534]E(f329(f313(x65341,x65342,f329(f16(x65342,x65341),x65343)),x65344),f247(f916(x65341,a903)))+~P1(f329(f329(f331(x65342),x65343),x65344))
% 191.26/191.46 [6558]~P1(f329(f329(f331(x65581),x65582),x65584))+P1(f329(f329(f331(x65581),x65582),f329(f329(f311(x65581),x65583),x65584)))
% 191.26/191.46 [6563]P1(f329(x65631,x65632))+~P1(f329(f163(x65633,x65631),f329(f329(f154(x65633),x65632),x65634)))
% 191.26/191.46 [6572]~E(x65723,f329(f329(f23(a908),f329(f192(f909(x65721)),x65722)),f80(a908)))+E(f119(x65721,f329(f329(f162(x65721,x65722),x65723),x65724)),f119(x65721,x65722))
% 191.26/191.46 [6590]~P112(x65901)+E(f329(f329(f106(f916(x65901,a903)),f329(f303(x65901),x65902)),f305(x65901,x65903,x65904)),f305(x65901,x65903,f329(f329(f238(x65901),x65902),x65904)))
% 191.26/191.46 [6591]~P112(x65911)+E(f329(f329(f106(f916(x65911,a903)),f329(f286(x65911),x65912)),f305(x65911,x65913,x65914)),f305(x65911,f329(f329(f239(x65911),x65912),x65913),x65914))
% 191.26/191.46 [6608]E(f329(f329(f106(f916(x66081,a903)),x66082),f329(f329(f311(x66081),x66083),x66084)),f329(f329(f106(f916(x66081,a903)),x66082),x66084))+P1(f329(f329(f331(x66081),x66083),x66082))
% 191.26/191.46 [6620]E(f173(x66201,x66202,f329(f329(f137(x66201),x66203),x66204)),f329(f329(f137(x66201),x66203),f173(x66201,x66202,x66204)))+P1(f329(f329(f331(x66201),x66202),f329(f175(x66201),x66203)))
% 191.26/191.46 [6625]~P88(x66251)+E(f329(f329(f83(x66251),f329(f329(f249(x66251),x66252),x66253)),f329(f329(f249(x66251),x66252),x66254)),f329(f329(f249(x66251),x66252),f329(f329(f82(a908),x66253),x66254)))
% 191.26/191.46 [6626]~P116(x66261)+E(f329(f329(f83(x66261),f329(f329(f249(x66261),x66262),x66263)),f329(f329(f249(x66261),x66262),x66264)),f329(f329(f249(x66261),x66262),f329(f329(f82(a908),x66263),x66264)))
% 191.26/191.46 [6662]~P101(x66621)+E(f329(f329(f106(x66621),f329(f329(f115(x66621),x66622),x66623)),f329(f329(f115(x66621),x66622),x66624)),f329(f329(f115(x66621),x66622),f329(f329(f106(x66621),x66623),x66624)))
% 191.26/191.46 [6663]~P101(x66631)+E(f329(f329(f115(x66631),f329(f329(f106(x66631),x66632),x66633)),f329(f329(f106(x66631),x66632),x66634)),f329(f329(f106(x66631),x66632),f329(f329(f115(x66631),x66633),x66634)))
% 191.26/191.46 [6664]~P116(x66641)+E(f329(f329(f82(x66641),f329(f329(f83(x66641),x66642),x66643)),f329(f329(f83(x66641),x66642),x66644)),f329(f329(f83(x66641),x66642),f329(f329(f82(x66641),x66643),x66644)))
% 191.26/191.46 [6665]~P112(x66651)+E(f329(f329(f239(x66651),f329(f329(f238(x66651),x66652),x66653)),f329(f329(f238(x66651),x66652),x66654)),f329(f329(f238(x66651),x66652),f329(f329(f239(x66651),x66653),x66654)))
% 191.26/191.46 [6666]~P112(x66661)+E(f329(f329(f238(x66661),f329(f329(f239(x66661),x66662),x66663)),f329(f329(f239(x66661),x66662),x66664)),f329(f329(f239(x66661),x66662),f329(f329(f238(x66661),x66663),x66664)))
% 191.26/191.46 [6700]~P68(x67001)+E(f46(x67001,f329(f329(f83(x67001),x67002),x67003),f329(f329(f83(x67001),x67004),x67003)),f329(f329(f83(x67001),f46(x67001,x67002,x67004)),x67003))
% 191.26/191.46 [6703]~E(f329(f192(f909(x67031)),x67033),f329(f192(f909(x67032)),x67034))+E(f329(f329(f157(f915(x67031,x67032),x67032),f261(x67031,x67032)),f329(f329(f184(x67031,x67032),x67033),x67034)),x67034)
% 191.26/191.46 [6704]~E(f329(f192(f909(x67041)),x67043),f329(f192(f909(x67042)),x67044))+E(f329(f329(f157(f915(x67041,x67042),x67041),f256(x67041,x67042)),f329(f329(f184(x67041,x67042),x67043),x67044)),x67043)
% 191.26/191.46 [6709]P1(f329(f163(x67091,x67092),x67093))+~P1(f329(f163(x67091,x67092),f329(f329(f154(x67091),x67094),x67093)))
% 191.26/191.46 [6710]P1(f329(f163(x67101,x67102),x67103))+~P1(f329(f163(x67101,x67102),f329(f329(f137(x67101),x67104),x67103)))
% 191.26/191.46 [6711]P1(f329(f163(x67111,x67112),x67113))+~P1(f329(f163(x67111,x67112),f329(f329(f137(x67111),x67113),x67114)))
% 191.26/191.46 [6717]~P69(x67171)+E(f46(x67171,f329(f329(f23(x67171),x67172),f46(x67171,x67173,x67174)),x67174),f46(x67171,f329(f329(f23(x67171),x67172),x67173),x67174))
% 191.26/191.46 [6718]~P68(x67181)+E(f46(x67181,f329(f329(f83(x67181),x67182),f46(x67181,x67183,x67184)),x67184),f46(x67181,f329(f329(f83(x67181),x67182),x67183),x67184))
% 191.26/191.46 [6719]~P68(x67191)+E(f46(x67191,f329(f329(f82(x67191),x67192),f46(x67191,x67193,x67194)),x67194),f46(x67191,f329(f329(f82(x67191),x67192),x67193),x67194))
% 191.26/191.46 [6798]~P112(x67981)+E(f329(f329(f106(f916(x67981,a903)),f305(x67981,x67982,x67983)),f329(f303(x67981),x67984)),f305(x67981,x67982,f329(f329(f238(x67981),x67983),x67984)))
% 191.26/191.46 [6799]~P112(x67991)+E(f329(f329(f106(f916(x67991,a903)),f305(x67991,x67992,x67993)),f329(f286(x67991),x67994)),f305(x67991,f329(f329(f239(x67991),x67992),x67994),x67993))
% 191.26/191.46 [6802]~E(f329(f192(f909(x68021)),x68023),f329(f192(f909(x68022)),x68024))+E(f329(f329(f184(x68021,x68022),f329(f171(x68021),x68023)),f329(f171(x68022),x68024)),f329(f171(f915(x68021,x68022)),f329(f329(f184(x68021,x68022),x68023),x68024)))
% 191.26/191.46 [6814]E(x68141,f329(f329(f23(a908),f329(f192(f909(x68142)),x68143)),f80(a908)))+E(f119(x68142,f329(f329(f162(x68142,x68143),x68141),x68144)),f329(f329(f162(x68142,f119(x68142,x68143)),x68141),x68144))
% 191.26/191.46 [6828]~P1(f329(f140(x68282),x68284))+P1(f329(f140(f915(x68281,x68282)),f329(f329(f184(x68281,x68282),x68283),x68284)))
% 191.26/191.46 [6829]~P1(f329(f140(x68291),x68293))+P1(f329(f140(f915(x68291,x68292)),f329(f329(f184(x68291,x68292),x68293),x68294)))
% 191.26/191.46 [7088]E(f329(f329(f37(a908),x70881),x70882),x70883)+~P1(f329(f49(x70881,x70882),f329(f329(f257(a908,a908),x70883),x70884)))
% 191.26/191.46 [7111]E(f46(a908,x71111,x71112),x71113)+~P1(f329(f49(x71111,x71112),f329(f329(f257(a908,a908),x71114),x71113)))
% 191.26/191.46 [7114]P1(f329(f140(x71141),x71142))+~P1(f329(f140(x71143),f329(f329(f157(x71141,x71143),x71144),x71142)))
% 191.26/191.46 [7122]~P29(x71221,x71222,f329(f329(f311(f907(x71221)),x71223),x71224))+P29(x71221,x71222,f329(f329(f311(f907(x71221)),x71223),f191(f916(f907(x71221),a903))))
% 191.26/191.46 [7197]E(f173(x71971,x71972,f329(f329(f137(x71971),x71973),x71974)),f329(f329(f137(x71971),f173(x71971,x71972,x71973)),x71974))+~P1(f329(f329(f331(x71971),x71972),f329(f175(x71971),x71973)))
% 191.26/191.46 [7289]~P69(x72891)+E(f46(x72891,f329(f329(f23(x72891),f46(x72891,x72892,x72893)),x72894),x72893),f46(x72891,f329(f329(f23(x72891),x72892),x72894),x72893))
% 191.26/191.46 [7291]~P68(x72911)+E(f46(x72911,f329(f329(f82(x72911),f46(x72911,x72912,x72913)),x72914),x72913),f46(x72911,f329(f329(f82(x72911),x72912),x72914),x72913))
% 191.26/191.46 [7292]~P68(x72921)+E(f46(x72921,f329(f329(f83(x72921),f46(x72921,x72922,x72923)),x72924),x72923),f46(x72921,f329(f329(f83(x72921),x72922),x72924),x72923))
% 191.26/191.46 [7493]~E(x74931,f329(f329(f154(x74932),x74933),x74934))+~P1(f329(f329(f240(a908),f329(f192(f909(x74932)),x74931)),f329(f192(f909(x74932)),x74934)))
% 191.26/191.46 [7700]P30(x77001,x77002,x77003,f329(f175(x77001),x77004))+~P1(f329(f140(x77002),f329(f329(f157(x77001,x77002),x77003),x77004)))
% 191.26/191.46 [7774]~P1(f329(f329(f240(f916(x77741,a903)),x77742),x77744))+P1(f329(f329(f240(f916(x77741,a903)),x77742),f329(f329(f311(x77741),x77743),x77744)))
% 191.26/191.46 [7809]~P68(x78091)+E(f46(x78091,f329(f329(f82(x78091),f46(x78091,x78092,x78093)),f46(x78091,x78094,x78093)),x78093),f46(x78091,f329(f329(f82(x78091),x78092),x78094),x78093))
% 191.26/191.46 [7810]~P69(x78101)+E(f46(x78101,f329(f329(f23(x78101),f46(x78101,x78102,x78103)),f46(x78101,x78104,x78103)),x78103),f46(x78101,f329(f329(f23(x78101),x78102),x78104),x78103))
% 191.26/191.46 [7811]~P68(x78111)+E(f46(x78111,f329(f329(f83(x78111),f46(x78111,x78112,x78113)),f46(x78111,x78114,x78113)),x78113),f46(x78111,f329(f329(f83(x78111),x78112),x78114),x78113))
% 191.26/191.46 [7917]~E(f329(x79174,f461(x79174,x79173,x79171,x79172)),f191(f916(x79172,a903)))+E(f329(f329(f40(x79171,f916(x79172,a903)),x79173),x79174),f191(f916(x79172,a903)))
% 191.26/191.46 [7918]~E(f329(x79184,f613(x79184,x79183,x79181,x79182)),f247(f916(x79182,a903)))+E(f329(f329(f41(x79181,f916(x79182,a903)),x79183),x79184),f247(f916(x79182,a903)))
% 191.26/191.46 [7919]~E(f329(x79194,f473(x79194,x79193,x79192,x79191)),f191(f916(x79192,a903)))+E(f329(f329(f40(x79191,f916(x79192,a903)),x79193),x79194),f191(f916(x79192,a903)))
% 191.26/191.46 [7920]~E(f329(x79204,f630(x79204,x79203,x79202,x79201)),f247(f916(x79202,a903)))+E(f329(f329(f41(x79201,f916(x79202,a903)),x79203),x79204),f247(f916(x79202,a903)))
% 191.26/191.46 [8324]P1(f329(x83241,x83242))+~P1(f329(f329(f331(x83243),x83242),f329(f329(f106(f916(x83243,a903)),x83244),f329(f267(x83243),x83241))))
% 191.26/191.46 [8362]~P1(f329(f329(f240(f916(x83621,a903)),x83623),x83624))+P1(f329(f329(f240(f916(x83621,a903)),f329(f329(f311(x83621),x83622),x83623)),f329(f329(f311(x83621),x83622),x83624)))
% 191.26/191.46 [8533]P1(f329(f329(f197(x85331),x85332),f591(x85333,x85332,x85334,x85331)))+~P1(f329(f329(f197(f32(x85331,x85334)),x85332),x85333))
% 191.26/191.46 [8534]P1(f329(f329(f197(x85341),x85342),f631(x85343,x85342,x85344,x85341)))+~P1(f329(f329(f197(f32(x85341,x85344)),x85342),x85343))
% 191.26/191.46 [8543]P1(f329(x85432,x85433))+E(f329(f329(f141(x85431),f329(f192(f909(x85431)),f180(x85431,x85432,f329(f329(f154(x85431),x85433),x85434)))),f329(f329(f154(x85431),x85433),x85434)),f329(f329(f154(x85431),x85433),x85434))
% 191.26/191.46 [8662]~P1(f329(f329(f241(a908),f329(x86624,x86622)),f329(x86624,x86623)))+P1(f329(f329(f331(f915(x86621,x86621)),f329(f329(f257(x86621,x86621),x86622),x86623)),f329(f329(f290(a908,x86621),a245),x86624)))
% 191.26/191.46 [8754]~P1(f329(x87542,f766(x87544,x87542,x87543,x87541)))+E(f180(x87541,x87542,f329(f329(f137(x87541),x87543),x87544)),f329(f329(f137(x87541),x87543),f180(x87541,x87542,x87544)))
% 191.26/191.46 [8824]P30(f909(x88241),f909(x88242),f329(f157(x88241,x88242),x88243),x88244)+~P30(x88241,x88242,x88243,f38(f916(x88241,a903),f329(f312(f909(x88241),f916(x88241,a903),f175(x88241)),x88244)))
% 191.26/191.46 [8892]~P1(f329(x88922,x88923))+E(f329(f329(f141(x88921),f329(f192(f909(x88921)),f180(x88921,x88922,f329(f329(f154(x88921),x88923),x88924)))),f329(f329(f154(x88921),x88923),x88924)),f329(f329(f141(x88921),f329(f192(f909(x88921)),f180(x88921,x88922,x88924))),x88924))
% 191.26/191.46 [8932]~E(x89322,x89323)+E(f329(f139(x89321,f329(f329(f8(a903,a903,x89321),a324),f329(a326,x89322))),f329(f329(f154(x89321),x89323),x89324)),f329(f139(x89321,f329(f329(f8(a903,a903,x89321),a324),f329(a326,x89322))),x89324))
% 191.26/191.46 [8942]E(f329(f329(f40(x89421,f916(x89422,a903)),x89423),x89424),f191(f916(x89422,a903)))+P1(f329(f329(f331(x89421),f461(x89424,x89423,x89421,x89422)),x89423))
% 191.26/191.46 [8943]E(f329(f329(f41(x89431,f916(x89432,a903)),x89433),x89434),f247(f916(x89432,a903)))+P1(f329(f329(f331(x89431),f613(x89434,x89433,x89431,x89432)),x89433))
% 191.26/191.46 [8944]E(f329(f329(f40(x89441,f916(x89442,a903)),x89443),x89444),f191(f916(x89442,a903)))+P1(f329(f329(f331(x89441),f473(x89444,x89443,x89442,x89441)),x89443))
% 191.26/191.46 [8945]E(f329(f329(f41(x89451,f916(x89452,a903)),x89453),x89454),f247(f916(x89452,a903)))+P1(f329(f329(f331(x89451),f630(x89454,x89453,x89452,x89451)),x89453))
% 191.26/191.46 [8981]P1(f329(f329(f241(a908),f329(x89811,x89812)),f329(x89811,x89813)))+~P1(f329(f329(f331(f915(x89814,x89814)),f329(f329(f257(x89814,x89814),x89812),x89813)),f329(f329(f290(a908,x89814),a245),x89811)))
% 191.26/191.46 [9008]E(f180(x90081,x90082,f329(f329(f137(x90081),x90083),x90084)),f329(f329(f137(x90081),x90083),f180(x90081,x90082,x90084)))+P1(f329(f329(f331(x90081),f766(x90084,x90082,x90083,x90081)),f329(f175(x90081),x90083)))
% 191.26/191.46 [9048]P1(f329(f329(f197(x90481),f591(x90482,x90483,x90481,x90484)),x90482))+~P1(f329(f329(f197(f32(x90484,x90481)),x90483),x90482))
% 191.26/191.46 [9049]P1(f329(f329(f197(x90491),f631(x90492,x90493,x90491,x90494)),x90492))+~P1(f329(f329(f197(f32(x90494,x90491)),x90493),x90492))
% 191.26/191.46 [9170]P1(f329(f329(f331(x91701),f462(x91702,x91703,x91704,x91701)),x91703))+~P1(f329(f329(f331(f916(x91701,a903)),x91704),f329(f329(f61(x91701),x91703),x91702)))
% 191.26/191.46 [9173]E(x91731,x91732)+~P1(f329(f329(f331(f915(x91733,x91733)),f329(f329(f257(x91733,x91733),x91731),x91732)),f329(f329(f186(f915(x91733,x91733),a903),f2(a908)),x91734)))
% 191.26/191.46 [9254]E(f329(f288(x92541,x92541,x92542),f329(f329(f311(x92541),f462(x92542,x92543,x92544,x92541)),f191(f916(x92541,a903)))),x92544)+~P1(f329(f329(f331(f916(x92541,a903)),x92544),f329(f329(f61(x92541),x92543),x92542)))
% 191.26/191.46 [9265]~P1(f329(f329(f331(f915(x92651,x92651)),f329(f329(f257(x92651,x92651),x92653),x92652)),f309(x92651,x92654)))+P1(f329(f329(f331(f915(x92651,x92651)),f329(f329(f257(x92651,x92651),x92652),x92653)),f309(x92651,f329(f289(x92651,x92651),x92654))))
% 191.26/191.46 [9280]~P68(x92801)+E(f329(f329(f82(x92801),f329(f329(f82(x92801),f329(f329(f83(x92801),x92802),f329(f329(f37(x92801),x92803),x92802))),f46(x92801,x92803,x92802))),x92804),f329(f329(f82(x92801),x92803),x92804))
% 191.26/191.46 [9292]~P1(f329(f329(f331(x92921),x92923),x92924))+P1(f329(f329(f331(f916(x92921,a903)),f329(f288(x92921,x92921,x92922),f329(f329(f311(x92921),x92923),f191(f916(x92921,a903))))),f329(f329(f61(x92921),x92924),x92922)))
% 191.26/191.46 [9304]P1(f329(f329(f331(f915(x93041,x93041)),f329(f329(f257(x93041,x93041),x93042),x93043)),f309(x93041,x93044)))+~P1(f329(f329(f331(f915(x93041,x93041)),f329(f329(f257(x93041,x93041),x93043),x93042)),f309(x93041,f329(f289(x93041,x93041),x93044))))
% 191.26/191.46 [9387]E(f329(f329(f162(x93871,f329(f171(x93871),x93872)),f329(f329(f23(a908),f329(f329(f23(a908),f329(f192(f909(x93871)),x93872)),x93873)),f80(a908))),x93874),f329(f171(x93871),f329(f329(f162(x93871,x93872),x93873),x93874)))+~P1(f329(f329(f241(a908),x93873),f329(f192(f909(x93871)),x93872)))
% 191.26/191.46 [9391]~P1(f329(x93912,f760(x93914,x93912,x93913,x93911)))+E(f329(f329(f141(x93911),f329(f192(f909(x93911)),f180(x93911,x93912,f329(f329(f137(x93911),x93913),x93914)))),f329(f329(f137(x93911),x93913),x93914)),f329(f329(f141(x93911),f329(f192(f909(x93911)),f180(x93911,x93912,x93914))),x93914))
% 191.26/191.46 [9434]~P30(x94342,x94341,x94343,f247(f916(x94342,a903)))+P1(f329(f329(f240(f916(x94341,a903)),f329(f312(x94342,x94341,x94343),f329(f81(f916(x94342,a903)),x94344))),f329(f81(f916(x94341,a903)),f329(f312(x94342,x94341,x94343),x94344))))
% 191.26/191.46 [9446]~P10(x94461)+E(f329(f145(x94461,x94462,f329(f7(x94462,x94461,x94461),f329(f329(f8(x94461,f916(x94461,x94461),x94462),f115(x94461)),x94463)),f191(x94461)),x94464),f329(f329(f40(x94462,x94461),f329(f175(x94462),x94464)),x94463))
% 191.26/191.46 [9447]~P10(x94471)+E(f329(f145(x94471,x94472,f329(f7(x94472,x94471,x94471),f329(f329(f8(x94471,f916(x94471,x94471),x94472),f106(x94471)),x94473)),f247(x94471)),x94474),f329(f329(f41(x94472,x94471),f329(f175(x94472),x94474)),x94473))
% 191.26/191.46 [9457]E(f329(f329(f141(x94571),f329(f192(f909(x94571)),f180(x94571,x94572,f329(f329(f137(x94571),x94573),x94574)))),f329(f329(f137(x94571),x94573),x94574)),f329(f329(f141(x94571),f329(f192(f909(x94571)),f180(x94571,x94572,x94574))),x94574))+P1(f329(f329(f331(x94571),f760(x94574,x94572,x94573,x94571)),f329(f175(x94571),x94573)))
% 191.26/191.46 [9525]~P1(f329(f329(f331(f915(f909(x95254),f909(x95254))),f329(f329(f257(f909(x95254),f909(x95254)),x95253),x95252)),f160(x95254,x95251)))+P1(f329(f329(f241(a908),f694(x95251,x95252,x95253,x95254)),f329(f192(f909(x95254)),x95253)))
% 191.26/191.46 [9526]~P68(x95261)+E(f329(f329(f82(x95261),f329(f329(f82(x95261),f329(f329(f83(x95261),f329(f329(f37(x95261),x95262),x95263)),x95263)),f46(x95261,x95262,x95263))),x95264),f329(f329(f82(x95261),x95262),x95264))
% 191.26/191.46 [9555]~P1(f329(f329(f331(f915(f909(x95551),f909(x95551))),f329(f329(f257(f909(x95551),f909(x95551)),x95552),x95553)),f329(f289(f909(x95551),f909(x95551)),f160(x95551,x95554))))+P1(f329(f329(f331(f915(f909(x95551),f909(x95551))),f329(f329(f257(f909(x95551),f909(x95551)),x95552),x95553)),f160(x95551,f329(f289(x95551,x95551),x95554))))
% 191.26/191.46 [9556]P1(f329(f329(f331(f915(f909(x95561),f909(x95561))),f329(f329(f257(f909(x95561),f909(x95561)),x95562),x95563)),f329(f289(f909(x95561),f909(x95561)),f160(x95561,x95564))))+~P1(f329(f329(f331(f915(f909(x95561),f909(x95561))),f329(f329(f257(f909(x95561),f909(x95561)),x95562),x95563)),f160(x95561,f329(f289(x95561,x95561),x95564))))
% 191.26/191.46 [9596]~P1(f329(f329(f331(x95961),x95963),f329(f269(x95961,x95962),x95964)))+P1(f329(f329(f331(f915(x95961,x95962)),f329(f329(f257(x95961,x95962),x95963),f558(x95964,x95962,x95963,x95961))),x95964))
% 191.26/191.46 [9597]~P1(f329(f329(f331(x95971),x95973),f329(f269(x95971,x95972),x95974)))+P1(f329(f329(f331(f915(x95971,x95972)),f329(f329(f257(x95971,x95972),x95973),f560(x95974,x95972,x95973,x95971))),x95974))
% 191.26/191.46 [9755]~P1(f329(f329(f331(f915(x97551,x97551)),f329(f329(f257(x97551,x97551),x97552),x97554)),f329(f329(f291(x97551,x97551,x97551),x97553),f309(x97551,x97553))))+P1(f329(f329(f331(f915(x97551,x97551)),f329(f329(f257(x97551,x97551),x97552),f617(x97553,x97554,x97552,x97551))),x97553))
% 191.26/191.46 [9921]~P1(f329(f329(f331(f915(x99212,x99211)),x99214),f329(f289(x99211,x99212),x99213)))+P1(f329(f329(f331(f915(x99211,x99212)),f329(f329(f257(x99211,x99212),f670(x99213,x99214,x99211,x99212)),f669(x99213,x99214,x99211,x99212))),x99213))
% 191.26/191.46 [9946]~P1(f329(f329(f331(f915(f909(x99461),f909(x99461))),f329(f329(f257(f909(x99461),f909(x99461)),x99464),x99463)),f160(x99461,x99462)))+P1(f329(f329(f331(f915(x99461,x99461)),f329(f329(f257(x99461,x99461),f710(x99462,x99463,x99464,x99461)),f711(x99462,x99463,x99464,x99461))),x99462))
% 191.26/191.46 [10033]~P1(f329(f329(f331(f915(f909(x100331),f909(x100331))),f329(f329(f257(f909(x100331),f909(x100331)),x100332),x100334)),f160(x100331,x100333)))+P1(f329(f329(f331(f915(x100331,x100331)),f329(f329(f257(x100331,x100331),f329(f329(f167(x100331),x100332),f694(x100333,x100334,x100332,x100331))),f695(x100333,x100334,x100332,x100331))),x100333))
% 191.26/191.46 [10055]~P1(f329(f62(x100552),x100554))+E(f329(f329(f329(f66(f916(x100551,a903),x100552,f115(f916(x100551,a903))),f329(f329(f7(x100552,f916(x100551,a903),f916(x100551,a903)),f329(f329(f8(x100551,f916(f916(x100551,a903),f916(x100551,a903)),x100552),f311(x100551)),x100553)),f191(f916(x100551,a903)))),f191(f916(x100551,a903))),x100554),f329(f312(x100552,x100551,x100553),x100554))
% 191.26/191.46 [10149]~P30(x101491,x101492,x101493,f247(f916(x101491,a903)))+P1(f329(f329(f240(f916(x101491,a903)),f329(f313(x101491,x101492,x101493),f329(f329(f311(x101492),x101494),f191(f916(x101492,a903))))),f329(f329(f311(x101491),f87(x101491,f329(f329(f7(x101491,x101492,a903),f329(f329(f8(x101492,f916(x101492,a903),x101491),a326),x101493)),x101494))),f191(f916(x101491,a903)))))
% 191.26/191.46 [5732]~E(f329(f329(f137(x57321),x57322),x57324),x57323)+E(f329(f329(f178(x57321),f329(f192(f909(x57321)),x57322)),x57323),x57322)
% 191.26/191.46 [5733]~E(f329(f329(f137(x57332),x57333),x57331),x57334)+E(x57331,f329(f329(f141(x57332),f329(f192(f909(x57332)),x57333)),x57334))
% 191.26/191.46 [5744]~E(x57444,f2(a908))+E(f329(f329(f167(x57441),f329(f329(f154(x57441),x57442),x57443)),x57444),x57442)
% 191.26/191.46 [6284]~P116(x62841)+E(f329(f329(f249(x62841),f329(f329(f249(x62841),x62842),x62843)),x62844),f329(f329(f249(x62841),x62842),f329(f329(f83(a908),x62843),x62844)))
% 191.26/191.46 [6285]~P88(x62851)+E(f329(f329(f249(x62851),f329(f329(f249(x62851),x62852),x62853)),x62854),f329(f329(f249(x62851),x62852),f329(f329(f83(a908),x62853),x62854)))
% 191.26/191.46 [6293]E(x62931,f2(a908))+E(f329(f329(f167(x62932),f329(f329(f154(x62932),x62933),x62934)),x62931),f329(f329(f167(x62932),x62934),f329(f329(f23(a908),x62931),f80(a908))))
% 191.26/191.46 [6321]~P124(x63211)+E(f329(f329(f292(x63211),f329(f329(f83(x63211),x63212),x63213)),x63214),f329(f329(f83(x63211),x63212),f329(f329(f292(x63211),x63213),x63214)))
% 191.26/191.46 [6322]~P2(x63221)+E(f329(f329(f115(x63221),f329(f329(f115(x63221),x63222),x63223)),x63224),f329(f329(f115(x63221),x63222),f329(f329(f115(x63221),x63223),x63224)))
% 191.26/191.46 [6324]~P103(x63241)+E(f329(f329(f115(x63241),f329(f329(f115(x63241),x63242),x63243)),x63244),f329(f329(f115(x63241),x63242),f329(f329(f115(x63241),x63243),x63244)))
% 191.26/191.46 [6325]~P116(x63251)+E(f329(f329(f82(x63251),f329(f329(f82(x63251),x63252),x63253)),x63254),f329(f329(f82(x63251),x63252),f329(f329(f82(x63251),x63253),x63254)))
% 191.26/191.46 [6326]~P8(x63261)+E(f329(f329(f82(x63261),f329(f329(f82(x63261),x63262),x63263)),x63264),f329(f329(f82(x63261),x63262),f329(f329(f82(x63261),x63263),x63264)))
% 191.26/191.46 [6327]~P2(x63271)+E(f329(f329(f106(x63271),f329(f329(f106(x63271),x63272),x63273)),x63274),f329(f329(f106(x63271),x63272),f329(f329(f106(x63271),x63273),x63274)))
% 191.26/191.46 [6329]~P104(x63291)+E(f329(f329(f106(x63291),f329(f329(f106(x63291),x63292),x63293)),x63294),f329(f329(f106(x63291),x63292),f329(f329(f106(x63291),x63293),x63294)))
% 191.26/191.46 [6330]~P116(x63301)+E(f329(f329(f83(x63301),f329(f329(f83(x63301),x63302),x63303)),x63304),f329(f329(f83(x63301),x63302),f329(f329(f83(x63301),x63303),x63304)))
% 191.26/191.46 [6331]~P76(x63311)+E(f329(f329(f83(x63311),f329(f329(f83(x63311),x63312),x63313)),x63314),f329(f329(f83(x63311),x63312),f329(f329(f83(x63311),x63313),x63314)))
% 191.26/191.46 [6334]~P112(x63341)+E(f329(f329(f238(x63341),f329(f329(f238(x63341),x63342),x63343)),x63344),f329(f329(f238(x63341),x63342),f329(f329(f238(x63341),x63343),x63344)))
% 191.26/191.46 [6336]~P112(x63361)+E(f329(f329(f239(x63361),f329(f329(f239(x63361),x63362),x63363)),x63364),f329(f329(f239(x63361),x63362),f329(f329(f239(x63361),x63363),x63364)))
% 191.26/191.46 [6345]~P68(x63451)+E(f46(x63451,f329(f329(f82(x63451),x63452),f329(f329(f83(x63451),x63453),x63454)),x63454),f46(x63451,x63452,x63454))
% 191.26/191.46 [6346]~P68(x63461)+E(f46(x63461,f329(f329(f82(x63461),x63462),f329(f329(f83(x63461),x63463),x63464)),x63463),f46(x63461,x63462,x63463))
% 191.26/191.46 [6480]E(f329(f329(f167(x64801),f329(f329(f178(x64801),x64802),x64803)),x64804),f329(f329(f167(x64801),x64803),x64804))+~P1(f329(f329(f241(a908),x64804),x64802))
% 191.26/191.46 [6658]~E(x66582,x66584)+P1(f329(f329(f175(x66581),f329(f329(f154(x66581),x66582),x66583)),x66584))
% 191.26/191.46 [6660]~P116(x66601)+E(f329(f329(f82(x66601),f329(f329(f82(x66601),x66602),x66603)),x66604),f329(f329(f82(x66601),f329(f329(f82(x66601),x66602),x66604)),x66603))
% 191.26/191.46 [6661]~P116(x66611)+E(f329(f329(f83(x66611),f329(f329(f83(x66611),x66612),x66613)),x66614),f329(f329(f83(x66611),f329(f329(f83(x66611),x66612),x66614)),x66613))
% 191.26/191.46 [6722]~P109(x67222)+E(f329(f329(f6(x67221,x67222),f329(f16(x67222,x67221),x67223)),x67224),f329(f329(f83(x67222),f329(f105(x67222),f329(f36(x67221),x67224))),x67223))
% 191.26/191.46 [6889]E(f329(f329(f106(f916(x68891,a903)),f329(f329(f311(x68891),x68892),x68893)),x68894),f329(f329(f106(f916(x68891,a903)),x68893),x68894))+P1(f329(f329(f331(x68891),x68892),x68894))
% 191.26/191.46 [6956]~P101(x69561)+E(f329(f329(f106(x69561),f329(f329(f115(x69561),x69562),x69563)),f329(f329(f115(x69561),x69564),x69563)),f329(f329(f115(x69561),f329(f329(f106(x69561),x69562),x69564)),x69563))
% 191.26/191.46 [6957]~P84(x69571)+E(f329(f329(f238(x69571),f329(f329(f82(x69571),x69572),x69573)),f329(f329(f82(x69571),x69574),x69573)),f329(f329(f82(x69571),f329(f329(f238(x69571),x69572),x69574)),x69573))
% 191.26/191.46 [6958]~P84(x69581)+E(f329(f329(f239(x69581),f329(f329(f82(x69581),x69582),x69583)),f329(f329(f82(x69581),x69584),x69583)),f329(f329(f82(x69581),f329(f329(f239(x69581),x69582),x69584)),x69583))
% 191.26/191.46 [6959]~P86(x69591)+E(f329(f329(f238(x69591),f329(f329(f23(x69591),x69592),x69593)),f329(f329(f23(x69591),x69594),x69593)),f329(f329(f23(x69591),f329(f329(f238(x69591),x69592),x69594)),x69593))
% 191.26/191.46 [6960]~P86(x69601)+E(f329(f329(f239(x69601),f329(f329(f23(x69601),x69602),x69603)),f329(f329(f23(x69601),x69604),x69603)),f329(f329(f23(x69601),f329(f329(f239(x69601),x69602),x69604)),x69603))
% 191.26/191.46 [6961]~P101(x69611)+E(f329(f329(f115(x69611),f329(f329(f106(x69611),x69612),x69613)),f329(f329(f106(x69611),x69614),x69613)),f329(f329(f106(x69611),f329(f329(f115(x69611),x69612),x69614)),x69613))
% 191.26/191.46 [6963]~P117(x69631)+E(f329(f329(f82(x69631),f329(f329(f83(x69631),x69632),x69633)),f329(f329(f83(x69631),x69634),x69633)),f329(f329(f83(x69631),f329(f329(f82(x69631),x69632),x69634)),x69633))
% 191.26/191.46 [6964]~P116(x69641)+E(f329(f329(f83(x69641),f329(f329(f249(x69641),x69642),x69643)),f329(f329(f249(x69641),x69644),x69643)),f329(f329(f249(x69641),f329(f329(f83(x69641),x69642),x69644)),x69643))
% 191.26/191.46 [6965]~P80(x69651)+E(f329(f329(f83(x69651),f329(f329(f249(x69651),x69652),x69653)),f329(f329(f249(x69651),x69654),x69653)),f329(f329(f249(x69651),f329(f329(f83(x69651),x69652),x69654)),x69653))
% 191.26/191.46 [6966]~P71(x69661)+E(f329(f329(f292(x69661),f329(f329(f249(x69661),x69662),x69663)),f329(f329(f249(x69661),x69664),x69663)),f329(f329(f249(x69661),f329(f329(f292(x69661),x69662),x69664)),x69663))
% 191.26/191.46 [6967]~P124(x69671)+E(f329(f329(f82(x69671),f329(f329(f292(x69671),x69672),x69673)),f329(f329(f292(x69671),x69674),x69673)),f329(f329(f292(x69671),f329(f329(f82(x69671),x69672),x69674)),x69673))
% 191.26/191.46 [6968]~P124(x69681)+E(f329(f329(f23(x69681),f329(f329(f292(x69681),x69682),x69683)),f329(f329(f292(x69681),x69684),x69683)),f329(f329(f292(x69681),f329(f329(f23(x69681),x69682),x69684)),x69683))
% 191.26/191.46 [6969]~P112(x69691)+E(f329(f329(f239(x69691),f329(f329(f238(x69691),x69692),x69693)),f329(f329(f238(x69691),x69694),x69693)),f329(f329(f238(x69691),f329(f329(f239(x69691),x69692),x69694)),x69693))
% 191.26/191.46 [6970]~P112(x69701)+E(f329(f329(f238(x69701),f329(f329(f239(x69701),x69702),x69703)),f329(f329(f239(x69701),x69704),x69703)),f329(f329(f239(x69701),f329(f329(f238(x69701),x69702),x69704)),x69703))
% 191.26/191.46 [6971]~P116(x69711)+E(f329(f329(f82(x69711),f329(f329(f83(x69711),x69712),x69713)),f329(f329(f83(x69711),x69714),x69713)),f329(f329(f83(x69711),f329(f329(f82(x69711),x69712),x69714)),x69713))
% 191.26/191.46 [7002]E(f329(f329(f162(x70021,x70022),x70023),x70024),x70022)+~P1(f329(f329(f240(a908),f329(f192(f909(x70021)),x70022)),x70023))
% 191.26/191.46 [7028]~P1(f329(x70283,x70284))+P1(f329(f329(f329(f115(f916(x70281,a903)),x70282),x70283),x70284))
% 191.26/191.46 [7030]~P1(f329(x70302,x70304))+P1(f329(f329(f329(f115(f916(x70301,a903)),x70302),x70303),x70304))
% 191.26/191.46 [7050]E(f329(f329(f167(x70501),f329(f329(f137(x70501),x70502),x70503)),x70504),f329(f329(f167(x70501),x70502),x70504))+~P1(f329(f329(f241(a908),x70504),f329(f192(f909(x70501)),x70502)))
% 191.26/191.46 [7060]E(f329(f329(f23(f916(x70601,a903)),f329(f329(f311(x70601),x70602),x70603)),x70604),f329(f329(f23(f916(x70601,a903)),x70603),x70604))+~P1(f329(f329(f331(x70601),x70602),x70604))
% 191.26/191.46 [7101]~E(f142(a908,f329(f304(a908,x71011),x71012)),f329(f329(f154(a908),x71014),x71013))+E(f142(a908,f329(f304(a908,f329(f329(f82(a908),x71011),f80(a908))),x71012)),x71013)
% 191.26/191.46 [7123]~P1(f329(f329(f175(x71231),x71233),x71234))+P1(f329(f329(f175(x71231),f329(f329(f154(x71231),x71232),x71233)),x71234))
% 191.26/191.46 [7172]E(x71721,f2(a908))+E(f329(f329(f154(x71722),x71723),f329(f329(f178(x71722),f329(f329(f23(a908),x71721),f80(a908))),x71724)),f329(f329(f178(x71722),x71721),f329(f329(f154(x71722),x71723),x71724)))
% 191.26/191.46 [7272]E(f329(f329(f167(x72721),x72722),f329(f329(f23(a908),x72723),f329(f192(f909(x72721)),x72724))),f329(f329(f167(x72721),f329(f329(f137(x72721),x72724),x72722)),x72723))+P1(f329(f329(f241(a908),x72723),f329(f192(f909(x72721)),x72724)))
% 191.26/191.46 [7302]E(f329(f329(f106(f916(x73021,a903)),x73022),f329(f329(f311(x73021),x73023),x73024)),f329(f329(f311(x73021),x73023),f329(f329(f106(f916(x73021,a903)),x73022),x73024)))+~P1(f329(f329(f331(x73021),x73023),x73022))
% 191.26/191.46 [7340]E(f329(f329(f167(x73401),f329(f329(f162(x73401,x73402),x73403),x73404)),x73403),x73404)+~P1(f329(f329(f241(a908),x73403),f329(f192(f909(x73401)),x73402)))
% 191.26/191.46 [7362]E(x73621,f191(f916(x73622,a903)))+E(f329(f312(f915(x73623,x73622),x73623,f256(x73623,x73622)),f329(f329(f259(x73623,x73622),x73624),f329(f16(f916(x73622,a903),x73623),x73621))),x73624)
% 191.26/191.46 [7363]E(x73631,f191(f916(x73632,a903)))+E(f329(f312(f915(x73632,x73633),x73633,f261(x73632,x73633)),f329(f329(f259(x73632,x73633),x73631),f329(f16(f916(x73633,a903),x73632),x73634))),x73634)
% 191.26/191.46 [7442]E(f329(f329(f23(f916(x74421,a903)),f329(f329(f311(x74421),x74422),x74423)),x74424),f329(f329(f311(x74421),x74422),f329(f329(f23(f916(x74421,a903)),x74423),x74424)))+P1(f329(f329(f331(x74421),x74422),x74424))
% 191.26/191.46 [7479]~E(x74794,f191(f916(x74792,a903)))+E(f329(f312(f915(x74791,x74792),x74791,f256(x74791,x74792)),f329(f329(f259(x74791,x74792),x74793),f329(f16(f916(x74792,a903),x74791),x74794))),f191(f916(x74791,a903)))
% 191.26/191.46 [7480]~E(x74803,f191(f916(x74801,a903)))+E(f329(f312(f915(x74801,x74802),x74802,f261(x74801,x74802)),f329(f329(f259(x74801,x74802),x74803),f329(f16(f916(x74802,a903),x74801),x74804))),f191(f916(x74802,a903)))
% 191.26/191.46 [7534]~P1(f329(f329(f331(x75341),x75342),x75344))+P1(f329(f329(f331(x75341),x75342),f329(f329(f115(f916(x75341,a903)),x75343),x75344)))
% 191.26/191.46 [7537]~P1(f329(f329(f331(x75371),x75372),x75373))+P1(f329(f329(f331(x75371),x75372),f329(f329(f115(f916(x75371,a903)),x75373),x75374)))
% 191.26/191.46 [7558]E(f329(f329(f106(f916(x75581,a903)),f329(f329(f311(x75581),x75582),x75583)),x75584),f329(f329(f311(x75581),x75582),f329(f329(f106(f916(x75581,a903)),x75583),x75584)))+~P1(f329(f329(f331(x75581),x75582),x75584))
% 191.26/191.46 [7831]P1(f329(x78311,x78312))+~P1(f329(f329(f329(f106(f916(x78313,a903)),x78314),x78311),x78312))
% 191.26/191.46 [7832]P1(f329(x78321,x78322))+~P1(f329(f329(f329(f106(f916(x78323,a903)),x78321),x78324),x78322))
% 191.26/191.46 [7833]E(f329(f329(f6(x78331,a908),x78332),f329(f329(f23(f916(x78331,a903)),x78333),f329(f329(f311(x78331),x78334),f191(f916(x78331,a903))))),f329(f329(f6(x78331,a908),x78332),x78333))+P1(f329(f329(f331(x78331),x78334),x78333))
% 191.26/191.46 [7839]~P5(x78391)+E(f329(f168(x78391),f329(f329(f157(a908,x78391),x78392),f142(a908,f329(f304(a908,x78393),x78394)))),f329(f329(f6(a908,x78391),x78392),f329(f175(a908),f142(a908,f329(f304(a908,x78393),x78394)))))
% 191.26/191.46 [7840]~P5(x78401)+E(f329(f329(f6(a908,x78401),x78402),f329(f175(a908),f142(a908,f329(f304(a908,x78403),x78404)))),f329(f168(x78401),f329(f329(f157(a908,x78401),x78402),f142(a908,f329(f304(a908,x78403),x78404)))))
% 191.26/191.46 [7960]~E(x79603,x79604)+P1(f329(f63(x79601,x79602,f329(f329(f311(x79601),x79603),f191(f916(x79601,a903)))),x79604))
% 191.26/191.46 [8057]P1(f329(f329(f331(x80571),x80572),f329(f175(x80571),x80573)))+~P1(f329(f329(f331(x80571),x80572),f329(f175(x80571),f329(f329(f178(x80571),x80574),x80573))))
% 191.26/191.46 [8058]P1(f329(f329(f331(x80581),x80582),f329(f175(x80581),x80583)))+~P1(f329(f329(f331(x80581),x80582),f329(f175(x80581),f329(f329(f141(x80581),x80584),x80583))))
% 191.26/191.46 [8134]P1(f329(f329(f331(x81341),x81342),x81343))+~P1(f329(f329(f331(x81341),x81342),f329(f329(f23(f916(x81341,a903)),x81343),x81344)))
% 191.26/191.46 [8136]P1(f329(f329(f331(x81361),x81362),x81363))+~P1(f329(f329(f331(x81361),x81362),f329(f329(f106(f916(x81361,a903)),x81364),x81363)))
% 191.26/191.46 [8139]P1(f329(f329(f331(x81391),x81392),x81393))+~P1(f329(f329(f331(x81391),x81392),f329(f329(f106(f916(x81391,a903)),x81393),x81394)))
% 191.26/191.46 [8157]E(f329(f329(f137(x81571),f329(f329(f178(x81571),x81572),x81573)),f329(f329(f154(x81571),x81574),f329(f329(f141(x81571),f329(a117,x81572)),x81573))),f329(f329(f162(x81571,x81573),x81572),x81574))+~P1(f329(f329(f241(a908),x81572),f329(f192(f909(x81571)),x81573)))
% 191.26/191.46 [8182]P1(f329(f329(f331(x81821),x81822),x81823))+~P1(f329(f329(f240(f916(x81821,a903)),f329(f329(f311(x81821),x81822),x81824)),x81823))
% 191.26/191.46 [8219]~P1(f329(f329(f331(x82191),x82192),x82193))+~P1(f329(f329(f331(x82191),x82192),f329(f329(f23(f916(x82191,a903)),x82194),x82193)))
% 191.26/191.46 [8252]~P1(f329(f329(f241(a908),x82524),f329(f192(f909(x82521)),x82523)))+P1(f329(f329(f331(x82521),x82522),f329(f175(x82521),f329(f329(f162(x82521,x82523),x82524),x82522))))
% 191.26/191.46 [8303]E(f329(f329(f167(x83031),f329(f329(f141(x83031),x83032),x83033)),x83034),f329(f329(f167(x83031),x83033),f329(f329(f82(a908),x83032),x83034)))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),x83032),x83034)),f329(f192(f909(x83031)),x83033)))
% 191.26/191.46 [8312]~P109(x83122)+E(f329(f329(f6(x83121,x83122),f329(f329(f8(a908,x83122,x83121),f105(x83122)),x83123)),x83124),f329(f105(x83122),f329(f329(f6(x83121,a908),x83123),x83124)))
% 191.26/191.46 [8313]~P120(x83132)+E(f329(f329(f6(x83131,x83132),f329(f329(f8(a1,x83132,x83131),f107(x83132)),x83133)),x83134),f329(f107(x83132),f329(f329(f6(x83131,a1),x83133),x83134)))
% 191.26/191.46 [8364]~P74(x83642)+E(f329(f329(f9(x83641,x83642),f329(f329(f8(x83642,x83642,x83641),f77(x83642)),x83643)),x83644),f329(f77(x83642),f329(f329(f9(x83641,x83642),x83643),x83644)))
% 191.26/191.46 [8365]~P75(x83652)+E(f329(f329(f6(x83651,x83652),f329(f329(f8(x83652,x83652,x83651),f81(x83652)),x83653)),x83654),f329(f81(x83652),f329(f329(f6(x83651,x83652),x83653),x83654)))
% 191.26/191.46 [8367]E(f329(f329(f6(x83671,a908),x83672),f329(f329(f23(f916(x83671,a903)),x83673),f329(f329(f311(x83671),x83674),f191(f916(x83671,a903))))),f329(f329(f23(a908),f329(f329(f6(x83671,a908),x83672),x83673)),f329(x83672,x83674)))+~P1(f329(f329(f331(x83671),x83674),x83673))
% 191.26/191.46 [8386]P1(f329(f329(f240(f916(x83861,a903)),x83862),x83863))+~P1(f329(f329(f240(f916(x83861,a903)),f329(f329(f311(x83861),x83864),x83862)),x83863))
% 191.26/191.46 [8511]~E(f329(f312(x85112,x85113,x85111),f247(f916(x85112,a903))),f247(f916(x85113,a903)))+E(f329(x85111,f329(f94(x85112,x85113,f247(f916(x85112,a903)),x85111),x85114)),x85114)
% 191.26/191.46 [8601]P43(x86011,x86012)+~P43(x86011,f329(f329(f311(f915(x86011,x86011)),f329(f329(f257(x86011,x86011),x86013),x86014)),x86012))
% 191.26/191.46 [8602]P65(x86021,x86022)+~P65(x86021,f329(f329(f311(f915(x86021,x86021)),f329(f329(f257(x86021,x86021),x86023),x86024)),x86022))
% 191.26/191.46 [8610]~P112(x86101)+E(f329(f329(f151(x86101,x86101,f5(x86101)),x86102),f329(f329(f151(x86101,x86101,f5(x86101)),x86103),x86104)),f329(f329(f151(x86101,x86101,f5(x86101)),x86103),f329(f329(f151(x86101,x86101,f5(x86101)),x86102),x86104)))
% 191.26/191.46 [8625]E(x86251,x86252)+~P1(f329(f63(x86253,x86254,f329(f329(f311(x86253),x86251),f191(f916(x86253,a903)))),x86252))
% 191.26/191.46 [8636]E(f329(f329(f137(x86361),f329(f329(f178(x86361),x86362),x86363)),f329(f329(f178(x86361),x86364),f329(f329(f141(x86361),x86362),x86363))),f329(f329(f178(x86361),f329(f329(f82(a908),x86362),x86364)),x86363))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),x86362),x86364)),f329(f192(f909(x86361)),x86363)))
% 191.26/191.46 [8677]P1(f329(f62(x86771),x86772))+~E(x86772,f329(f312(a908,x86771,x86773),f329(f267(a908),f329(f329(f7(a908,a908,a903),f241(a908)),x86774))))
% 191.26/191.46 [8697]~P94(x86971)+E(f329(f145(x86971,x86971,f82(x86971),f329(f329(f82(x86971),x86972),x86973)),x86974),f329(f329(f82(x86971),x86972),f329(f145(x86971,x86971,f82(x86971),x86973),x86974)))
% 191.26/191.46 [8732]P1(f329(f329(f240(f916(x87321,a903)),f329(f269(x87321,x87322),x87323)),f329(f269(x87321,x87322),x87324)))+~P1(f329(f329(f240(f916(f915(x87321,x87322),a903)),x87323),x87324))
% 191.26/191.46 [8744]~P1(f329(f329(f240(a908),x87442),x87444))+P1(f329(f329(f240(f916(x87441,a903)),f329(f175(x87441),f329(f329(f178(x87441),x87442),x87443))),f329(f175(x87441),f329(f329(f178(x87441),x87444),x87443))))
% 191.26/191.46 [8745]~P1(f329(f329(f240(a908),x87454),x87452))+P1(f329(f329(f240(f916(x87451,a903)),f329(f175(x87451),f329(f329(f141(x87451),x87452),x87453))),f329(f175(x87451),f329(f329(f141(x87451),x87454),x87453))))
% 191.26/191.46 [8798]~P1(f329(f62(x87981),f329(f329(f23(f916(x87981,a903)),x87982),x87984)))+P1(f329(f62(x87981),f329(f329(f23(f916(x87981,a903)),x87982),f329(f329(f311(x87981),x87983),x87984))))
% 191.26/191.46 [8835]P1(f329(f329(f331(f915(x88351,x88351)),x88352),f309(x88351,x88353)))+~P1(f329(f329(f331(f915(x88351,x88351)),x88352),f329(f329(f186(f915(x88351,x88351),a903),x88354),x88353)))
% 191.26/191.46 [8915]~P1(f329(f62(x89151),f329(f329(f23(f916(x89151,a903)),x89152),f329(f329(f311(x89151),x89154),x89153))))+P1(f329(f62(x89151),f329(f329(f23(f916(x89151,a903)),x89152),x89153)))
% 191.26/191.46 [9128]~P2(x91281)+P1(f329(f329(f240(x91281),f329(f329(f115(x91281),x91282),f329(f329(f106(x91281),x91283),x91284))),f329(f329(f106(x91281),f329(f329(f115(x91281),x91282),x91283)),f329(f329(f115(x91281),x91282),x91284))))
% 191.26/191.46 [9129]~P112(x91291)+P1(f329(f329(f240(x91291),f329(f329(f239(x91291),x91292),f329(f329(f238(x91291),x91293),x91294))),f329(f329(f238(x91291),f329(f329(f239(x91291),x91292),x91293)),f329(f329(f239(x91291),x91292),x91294))))
% 191.26/191.46 [9287]E(x92871,x92872)+~P1(f329(f329(f331(f915(x92873,x92873)),f329(f329(f257(x92873,x92873),x92871),x92872)),f329(f175(f915(x92873,x92873)),f329(f329(f184(x92873,x92873),x92874),x92874))))
% 191.26/191.46 [9319]~P1(f329(f329(f331(f915(x93191,x93191)),f329(f329(f257(x93191,x93191),x93193),x93192)),f309(x93191,x93194)))+~P43(x93191,f329(f329(f311(f915(x93191,x93191)),f329(f329(f257(x93191,x93191),x93192),x93193)),x93194))
% 191.26/191.46 [9320]~P1(f329(f329(f331(f915(x93201,x93201)),f329(f329(f257(x93201,x93201),x93203),x93202)),f309(x93201,x93204)))+~P65(x93201,f329(f329(f311(f915(x93201,x93201)),f329(f329(f257(x93201,x93201),x93202),x93203)),x93204))
% 191.26/191.46 [9324]E(x93241,x93242)+E(f329(f139(x93243,f329(f329(f8(a903,a903,x93243),a324),f329(a326,x93241))),f329(f329(f154(x93243),x93242),x93244)),f329(f329(f154(x93243),x93242),f329(f139(x93243,f329(f329(f8(a903,a903,x93243),a324),f329(a326,x93241))),x93244)))
% 191.26/191.46 [9366]~P2(x93661)+P1(f329(f329(f240(x93661),f329(f329(f115(x93661),f329(f329(f106(x93661),x93662),x93663)),f329(f329(f106(x93661),x93662),x93664))),f329(f329(f106(x93661),x93662),f329(f329(f115(x93661),x93663),x93664))))
% 191.26/191.46 [9367]~P112(x93671)+P1(f329(f329(f240(x93671),f329(f329(f239(x93671),f329(f329(f238(x93671),x93672),x93673)),f329(f329(f238(x93671),x93672),x93674))),f329(f329(f238(x93671),x93672),f329(f329(f239(x93671),x93673),x93674))))
% 191.26/191.46 [9428]~P31(x94282,x94281,x94284,f247(f916(x94282,a903)),f247(f916(x94281,a903)))+E(f329(f267(x94281),f329(f329(f8(x94282,a903,x94281),x94283),f94(x94282,x94281,f247(f916(x94282,a903)),x94284))),f329(f312(x94282,x94281,x94284),f329(f267(x94282),x94283)))
% 191.26/191.46 [9441]~E(f329(f312(x94412,x94411,x94413),f247(f916(x94412,a903))),f247(f916(x94411,a903)))+P1(f329(f329(f240(f916(x94411,a903)),f329(f81(f916(x94411,a903)),f329(f312(x94412,x94411,x94413),x94414))),f329(f312(x94412,x94411,x94413),f329(f81(f916(x94412,a903)),x94414))))
% 191.26/191.46 [9768]P1(f329(f329(f331(f915(x97681,x97681)),f329(f329(f257(x97681,x97681),x97682),x97683)),f329(f289(x97681,x97681),f329(f329(f291(x97681,x97681,x97681),x97684),f309(x97681,x97684)))))+~P1(f329(f329(f331(f915(x97681,x97681)),f329(f329(f257(x97681,x97681),x97682),x97683)),f329(f329(f291(x97681,x97681,x97681),f329(f289(x97681,x97681),x97684)),f309(x97681,f329(f289(x97681,x97681),x97684)))))
% 191.26/191.46 [9769]~P1(f329(f329(f331(f915(x97691,x97691)),f329(f329(f257(x97691,x97691),x97692),x97693)),f329(f289(x97691,x97691),f329(f329(f291(x97691,x97691,x97691),x97694),f309(x97691,x97694)))))+P1(f329(f329(f331(f915(x97691,x97691)),f329(f329(f257(x97691,x97691),x97692),x97693)),f329(f329(f291(x97691,x97691,x97691),f329(f289(x97691,x97691),x97694)),f309(x97691,f329(f289(x97691,x97691),x97694)))))
% 191.26/191.46 [9790]~P1(f329(f329(f331(x97902),x97904),f329(f287(x97901,x97902),x97903)))+P1(f329(f329(f331(f915(x97901,x97902)),f329(f329(f257(x97901,x97902),f555(x97903,x97901,x97904,x97902)),x97904)),x97903))
% 191.26/191.46 [9791]~P1(f329(f329(f331(x97912),x97914),f329(f287(x97911,x97912),x97913)))+P1(f329(f329(f331(f915(x97911,x97912)),f329(f329(f257(x97911,x97912),f556(x97913,x97911,x97914,x97912)),x97914)),x97913))
% 191.26/191.46 [9816]~P1(f329(f329(f331(x98161),x98164),f329(f329(f115(f916(x98161,a903)),x98162),x98163)))+P1(f329(f329(f329(f115(f916(x98161,a903)),f329(f329(f7(x98161,f916(x98161,a903),a903),f331(x98161)),x98162)),f329(f329(f7(x98161,f916(x98161,a903),a903),f331(x98161)),x98163)),x98164))
% 191.26/191.46 [9817]~P1(f329(f329(f331(x98171),x98174),f329(f329(f106(f916(x98171,a903)),x98172),x98173)))+P1(f329(f329(f329(f106(f916(x98171,a903)),f329(f329(f7(x98171,f916(x98171,a903),a903),f331(x98171)),x98172)),f329(f329(f7(x98171,f916(x98171,a903),a903),f331(x98171)),x98173)),x98174))
% 191.26/191.46 [9897]~P1(f329(f329(f331(f915(x98971,x98971)),f329(f329(f257(x98971,x98971),x98974),x98973)),f329(f329(f291(x98971,x98971,x98971),x98972),f309(x98971,x98972))))+P1(f329(f329(f331(f915(x98971,x98971)),f329(f329(f257(x98971,x98971),f618(x98972,x98973,x98974,x98971)),x98973)),x98972))
% 191.26/191.46 [9934]P1(f329(f329(f331(x99341),x99342),f329(f329(f115(f916(x99341,a903)),x99343),x99344)))+~P1(f329(f329(f329(f115(f916(x99341,a903)),f329(f329(f7(x99341,f916(x99341,a903),a903),f331(x99341)),x99343)),f329(f329(f7(x99341,f916(x99341,a903),a903),f331(x99341)),x99344)),x99342))
% 191.26/191.46 [9935]P1(f329(f329(f331(x99351),x99352),f329(f329(f106(f916(x99351,a903)),x99353),x99354)))+~P1(f329(f329(f329(f106(f916(x99351,a903)),f329(f329(f7(x99351,f916(x99351,a903),a903),f331(x99351)),x99353)),f329(f329(f7(x99351,f916(x99351,a903),a903),f331(x99351)),x99354)),x99352))
% 191.26/191.46 [10202]P38(x102021,f329(f329(f7(x102021,f916(f915(x102021,x102021),a903),f916(x102021,a903)),f329(f329(f8(f916(x102021,f916(f916(f915(x102021,x102021),a903),a903)),f916(f916(f915(x102021,x102021),a903),f916(x102021,a903)),x102021),f7(x102021,f916(f915(x102021,x102021),a903),a903)),f329(f329(f8(f916(x102021,f915(x102021,x102021)),f916(x102021,f916(f916(f915(x102021,x102021),a903),a903)),x102021),f329(f8(f915(x102021,x102021),f916(f916(f915(x102021,x102021),a903),a903),x102021),f331(f915(x102021,x102021)))),f257(x102021,x102021)))),x102022),x102023,x102024)+~P1(f329(f329(f331(f915(f909(x102021),f909(x102021))),f329(f329(f257(f909(x102021),f909(x102021)),x102023),x102024)),f161(x102021,x102022)))
% 191.26/191.46 [10206]P66(x102061,f329(f329(f7(x102061,f916(f915(x102061,x102061),a903),f916(x102061,a903)),f329(f329(f8(f916(x102061,f916(f916(f915(x102061,x102061),a903),a903)),f916(f916(f915(x102061,x102061),a903),f916(x102061,a903)),x102061),f7(x102061,f916(f915(x102061,x102061),a903),a903)),f329(f329(f8(f916(x102061,f915(x102061,x102061)),f916(x102061,f916(f916(f915(x102061,x102061),a903),a903)),x102061),f329(f8(f915(x102061,x102061),f916(f916(f915(x102061,x102061),a903),a903),x102061),f331(f915(x102061,x102061)))),f257(x102061,x102061)))),x102062),x102063,x102064)+~P1(f329(f329(f331(f915(f916(x102061,a903),f916(x102061,a903))),f329(f329(f257(f916(x102061,a903),f916(x102061,a903)),x102063),x102064)),f320(x102061,x102062)))
% 191.26/191.46 [10242]E(x102421,x102422)+~E(f329(f329(f7(x102423,f916(f915(x102423,x102424),a903),f916(x102424,a903)),f329(f329(f8(f916(x102424,f916(f916(f915(x102423,x102424),a903),a903)),f916(f916(f915(x102423,x102424),a903),f916(x102424,a903)),x102423),f7(x102424,f916(f915(x102423,x102424),a903),a903)),f329(f329(f8(f916(x102424,f915(x102423,x102424)),f916(x102424,f916(f916(f915(x102423,x102424),a903),a903)),x102423),f329(f8(f915(x102423,x102424),f916(f916(f915(x102423,x102424),a903),a903),x102424),f331(f915(x102423,x102424)))),f257(x102423,x102424)))),x102421),f329(f329(f7(x102423,f916(f915(x102423,x102424),a903),f916(x102424,a903)),f329(f329(f8(f916(x102424,f916(f916(f915(x102423,x102424),a903),a903)),f916(f916(f915(x102423,x102424),a903),f916(x102424,a903)),x102423),f7(x102424,f916(f915(x102423,x102424),a903),a903)),f329(f329(f8(f916(x102424,f915(x102423,x102424)),f916(x102424,f916(f916(f915(x102423,x102424),a903),a903)),x102423),f329(f8(f915(x102423,x102424),f916(f916(f915(x102423,x102424),a903),a903),x102424),f331(f915(x102423,x102424)))),f257(x102423,x102424)))),x102422))
% 191.26/191.46 [10245]~P38(x102451,f329(f329(f7(x102451,f916(f915(x102451,x102451),a903),f916(x102451,a903)),f329(f329(f8(f916(x102451,f916(f916(f915(x102451,x102451),a903),a903)),f916(f916(f915(x102451,x102451),a903),f916(x102451,a903)),x102451),f7(x102451,f916(f915(x102451,x102451),a903),a903)),f329(f329(f8(f916(x102451,f915(x102451,x102451)),f916(x102451,f916(f916(f915(x102451,x102451),a903),a903)),x102451),f329(f8(f915(x102451,x102451),f916(f916(f915(x102451,x102451),a903),a903),x102451),f331(f915(x102451,x102451)))),f257(x102451,x102451)))),x102454),x102452,x102453)+P1(f329(f329(f331(f915(f909(x102451),f909(x102451))),f329(f329(f257(f909(x102451),f909(x102451)),x102452),x102453)),f161(x102451,x102454)))
% 191.26/191.46 [10246]~P66(x102461,f329(f329(f7(x102461,f916(f915(x102461,x102461),a903),f916(x102461,a903)),f329(f329(f8(f916(x102461,f916(f916(f915(x102461,x102461),a903),a903)),f916(f916(f915(x102461,x102461),a903),f916(x102461,a903)),x102461),f7(x102461,f916(f915(x102461,x102461),a903),a903)),f329(f329(f8(f916(x102461,f915(x102461,x102461)),f916(x102461,f916(f916(f915(x102461,x102461),a903),a903)),x102461),f329(f8(f915(x102461,x102461),f916(f916(f915(x102461,x102461),a903),a903),x102461),f331(f915(x102461,x102461)))),f257(x102461,x102461)))),x102464),x102462,x102463)+P1(f329(f329(f331(f915(f916(x102461,a903),f916(x102461,a903))),f329(f329(f257(f916(x102461,a903),f916(x102461,a903)),x102462),x102463)),f320(x102461,x102464)))
% 191.26/191.46 [7608]~P97(x76081)+E(f329(f329(f82(x76081),f329(f108(x76081),x76082)),f329(f329(f82(x76081),f329(f108(x76081),x76083)),x76084)),f329(f329(f82(x76081),f329(f108(x76081),f329(f329(f82(a1),x76082),x76083))),x76084))
% 191.26/191.46 [7609]~P97(x76091)+E(f329(f329(f82(x76091),f329(f108(x76091),x76092)),f329(f329(f23(x76091),f329(f108(x76091),x76093)),x76094)),f329(f329(f23(x76091),f329(f108(x76091),f329(f329(f82(a1),x76092),x76093))),x76094))
% 191.26/191.46 [7610]~P97(x76101)+E(f329(f329(f83(x76101),f329(f108(x76101),x76102)),f329(f329(f83(x76101),f329(f108(x76101),x76103)),x76104)),f329(f329(f83(x76101),f329(f108(x76101),f329(f329(f83(a1),x76102),x76103))),x76104))
% 191.26/191.46 [7650]~P109(x76501)+E(f329(f168(x76501),f329(f329(f157(x76502,x76501),f329(f16(x76501,x76502),x76503)),x76504)),f329(f329(f83(x76501),f329(f105(x76501),f329(f192(f909(x76502)),x76504))),x76503))
% 191.26/191.46 [7888]E(f329(f273(x78881,f329(f329(f154(f915(a104,x78881)),x78882),x78883)),x78884),f329(f261(a104,x78881),x78882))+~P1(f329(f329(f241(a104),x78884),f329(f256(a104,x78881),x78882)))
% 191.26/191.46 [7937]~P97(x79371)+E(f329(f329(f82(x79371),f329(f108(x79371),x79372)),f329(f329(f23(x79371),x79373),f329(f108(x79371),x79374))),f329(f329(f82(x79371),f329(f108(x79371),f329(f329(f82(a1),x79372),f329(f81(a1),x79374)))),x79373))
% 191.26/191.46 [8071]E(f329(f273(x80711,x80712),f329(f329(f23(a104),x80713),f329(f256(a104,x80711),x80714))),f329(f273(x80711,f329(f329(f154(f915(a104,x80711)),x80714),x80712)),x80713))+P1(f329(f329(f241(a104),x80713),f329(f256(a104,x80711),x80714)))
% 191.26/191.46 [8517]~P1(f329(f329(f331(x85171),x85172),f329(f175(x85171),f119(x85171,x85174))))+P1(f329(f329(f331(x85171),x85172),f329(f175(x85171),f119(x85171,f329(f329(f137(x85171),x85173),x85174)))))
% 191.26/191.46 [8518]~P1(f329(f329(f331(x85181),x85182),f329(f175(x85181),f119(x85181,x85183))))+P1(f329(f329(f331(x85181),x85182),f329(f175(x85181),f119(x85181,f329(f329(f137(x85181),x85183),x85184)))))
% 191.26/191.46 [8538]E(f329(f329(f115(f916(x85381,a903)),f329(f329(f106(f916(x85381,a903)),x85382),x85383)),x85384),f329(f329(f106(f916(x85381,a903)),x85382),f329(f329(f115(f916(x85381,a903)),x85383),x85384)))+~P1(f329(f329(f240(f916(x85381,a903)),x85384),x85382))
% 191.26/191.46 [8848]~E(f329(f329(f115(f916(x88481,a903)),f329(f329(f106(f916(x88481,a903)),x88483),x88484)),x88482),f329(f329(f106(f916(x88481,a903)),x88483),f329(f329(f115(f916(x88481,a903)),x88484),x88482)))+P1(f329(f329(f240(f916(x88481,a903)),x88482),x88483))
% 191.26/191.46 [9134]~P1(f329(f329(f240(f916(x91341,a903)),x91342),f329(f329(f115(f916(x91341,a903)),x91343),x91344)))+P1(f329(f329(f240(f916(x91341,a903)),f329(f329(f23(f916(x91341,a903)),x91342),x91343)),x91344))
% 191.26/191.46 [9251]~E(f329(f312(x92511,x92512,x92513),f247(f916(x92511,a903))),f247(f916(x92512,a903)))+E(f329(f312(x92511,x92512,x92513),f329(f312(x92512,x92511,f94(x92511,x92512,f247(f916(x92511,a903)),x92513)),x92514)),x92514)
% 191.26/191.46 [9261]P1(f329(f329(f240(f916(x92611,a903)),x92612),f329(f329(f115(f916(x92611,a903)),x92613),x92614)))+~P1(f329(f329(f240(f916(x92611,a903)),f329(f329(f23(f916(x92611,a903)),x92612),x92613)),x92614))
% 191.26/191.46 [9349]~P89(x93491)+E(f329(f77(x93491),f329(f329(f6(x93492,x93491),f329(f329(f8(x93491,x93491,x93492),f77(x93491)),x93493)),x93494)),f329(f329(f6(x93492,x93491),f329(f329(f8(x93491,x93491,x93492),f77(x93491)),x93493)),x93494))
% 191.26/191.46 [9517]~P89(x95171)+P1(f329(f329(f240(x95171),f2(x95171)),f329(f329(f6(x95172,x95171),f329(f329(f8(x95171,x95171,x95172),f77(x95171)),x95173)),x95174)))
% 191.26/191.46 [9521]~P75(x95211)+E(f329(f168(x95211),f329(f329(f157(x95212,x95211),f329(f74(x95211,x95211,x95212,f81(x95211)),x95213)),x95214)),f329(f81(x95211),f329(f168(x95211),f329(f329(f157(x95212,x95211),x95213),x95214))))
% 191.26/191.46 [9662]~P89(x96621)+P1(f329(f329(f240(x96621),f329(f77(x96621),f329(f329(f6(x96622,x96621),x96623),x96624))),f329(f329(f6(x96622,x96621),f329(f329(f8(x96621,x96621,x96622),f77(x96621)),x96623)),x96624)))
% 191.26/191.46 [9691]~E(f329(f329(f82(a908),x96911),x96914),f329(f329(f82(a908),x96913),x96912))+P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),f329(f329(f257(a908,a908),x96911),x96912)),f329(f329(f257(a908,a908),x96913),x96914))),a113))
% 191.26/191.46 [9692]~P1(f329(f329(f241(a908),x96921),x96923))+P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),f329(f329(f257(a908,a908),x96921),x96922)),f329(f329(f257(a908,a908),x96923),x96924))),a34))
% 191.26/191.46 [9693]~P1(f329(f329(f241(a908),x96931),x96933))+P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),f329(f329(f257(a908,a908),x96931),x96932)),f329(f329(f257(a908,a908),x96933),x96934))),a72))
% 191.26/191.46 [9842]E(f329(f329(f82(a908),x98421),x98422),f329(f329(f82(a908),x98423),x98424))+~P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),f329(f329(f257(a908,a908),x98421),x98424)),f329(f329(f257(a908,a908),x98423),x98422))),a113))
% 191.26/191.46 [9871]E(f329(f329(f167(x98711),f329(f329(f141(x98711),f329(f192(f909(x98711)),f180(x98711,x98712,x98713))),x98713)),x98714),f329(f329(f167(x98711),x98713),f329(f329(f82(a908),x98714),f329(f192(f909(x98711)),f180(x98711,x98712,x98713)))))+~P1(f329(f329(f241(a908),x98714),f329(f192(f909(x98711)),f329(f329(f141(x98711),f329(f192(f909(x98711)),f180(x98711,x98712,x98713))),x98713))))
% 191.26/191.46 [9888]~P1(f329(f329(f331(x98882),x98884),f329(f329(f40(x98881,f916(x98882,a903)),f247(f916(x98881,a903))),x98883)))+P1(f329(f329(f329(f40(x98881,f916(x98882,a903)),f247(f916(x98881,a903))),f329(f329(f8(f916(x98882,a903),f916(x98882,a903),x98881),f329(f7(x98882,f916(x98882,a903),a903),f331(x98882))),x98883)),x98884))
% 191.26/191.46 [9889]~P1(f329(f329(f331(x98892),x98894),f329(f329(f41(x98891,f916(x98892,a903)),f247(f916(x98891,a903))),x98893)))+P1(f329(f329(f329(f41(x98891,f916(x98892,a903)),f247(f916(x98891,a903))),f329(f329(f8(f916(x98892,a903),f916(x98892,a903),x98891),f329(f7(x98892,f916(x98892,a903),a903),f331(x98892))),x98893)),x98894))
% 191.26/191.46 [9961]~P1(f329(f50(x99611,x99612),f329(f329(f257(a1,a1),x99614),x99613)))+P1(f329(f50(f329(f81(a1),x99611),x99612),f329(f329(f257(a1,a1),f329(f329(f329(f99(a1),f329(f329(a326,x99613),f2(a1))),f329(f81(a1),x99614)),f329(f329(f23(a1),f329(f81(a1),x99614)),f80(a1)))),f329(f329(f329(f99(a1),f329(f329(a326,x99613),f2(a1))),f2(a1)),f329(f329(f23(a1),x99612),x99613)))))
% 191.26/191.46 [9971]P1(f329(f329(f331(x99711),x99712),f329(f329(f40(x99713,f916(x99711,a903)),f247(f916(x99713,a903))),x99714)))+~P1(f329(f329(f329(f40(x99713,f916(x99711,a903)),f247(f916(x99713,a903))),f329(f329(f8(f916(x99711,a903),f916(x99711,a903),x99713),f329(f7(x99711,f916(x99711,a903),a903),f331(x99711))),x99714)),x99712))
% 191.26/191.46 [9972]P1(f329(f329(f331(x99721),x99722),f329(f329(f41(x99723,f916(x99721,a903)),f247(f916(x99723,a903))),x99724)))+~P1(f329(f329(f329(f41(x99723,f916(x99721,a903)),f247(f916(x99723,a903))),f329(f329(f8(f916(x99721,a903),f916(x99721,a903),x99723),f329(f7(x99721,f916(x99721,a903),a903),f331(x99721))),x99724)),x99722))
% 191.26/191.46 [9984]E(f329(f329(f40(a908,f916(x99841,a903)),f247(f916(a908,a903))),x99842),f329(f329(f40(a908,f916(x99841,a903)),f247(f916(a908,a903))),x99843))+~E(f329(f329(f40(a908,f916(x99841,a903)),f329(f304(a908,f2(a908)),f492(x99842,x99844,x99843,x99841))),x99843),f329(f329(f40(a908,f916(x99841,a903)),f329(f304(a908,f2(a908)),f329(f329(f82(a908),f492(x99842,x99844,x99843,x99841)),x99844))),x99842))
% 191.26/191.46 [10315]~P1(f329(f329(f240(f916(f915(x103151,x103152),a903)),x103153),x103154))+P1(f329(f329(f240(f916(x103151,f916(x103152,a903))),f329(f329(f7(x103151,f916(f915(x103151,x103152),a903),f916(x103152,a903)),f329(f329(f8(f916(x103152,f916(f916(f915(x103151,x103152),a903),a903)),f916(f916(f915(x103151,x103152),a903),f916(x103152,a903)),x103151),f7(x103152,f916(f915(x103151,x103152),a903),a903)),f329(f329(f8(f916(x103152,f915(x103151,x103152)),f916(x103152,f916(f916(f915(x103151,x103152),a903),a903)),x103151),f329(f8(f915(x103151,x103152),f916(f916(f915(x103151,x103152),a903),a903),x103152),f331(f915(x103151,x103152)))),f257(x103151,x103152)))),x103153)),f329(f329(f7(x103151,f916(f915(x103151,x103152),a903),f916(x103152,a903)),f329(f329(f8(f916(x103152,f916(f916(f915(x103151,x103152),a903),a903)),f916(f916(f915(x103151,x103152),a903),f916(x103152,a903)),x103151),f7(x103152,f916(f915(x103151,x103152),a903),a903)),f329(f329(f8(f916(x103152,f915(x103151,x103152)),f916(x103152,f916(f916(f915(x103151,x103152),a903),a903)),x103151),f329(f8(f915(x103151,x103152),f916(f916(f915(x103151,x103152),a903),a903),x103152),f331(f915(x103151,x103152)))),f257(x103151,x103152)))),x103154)))
% 191.26/191.46 [10332]P1(f329(f329(f240(f916(f915(x103321,x103322),a903)),x103323),x103324))+~P1(f329(f329(f240(f916(x103321,f916(x103322,a903))),f329(f329(f7(x103321,f916(f915(x103321,x103322),a903),f916(x103322,a903)),f329(f329(f8(f916(x103322,f916(f916(f915(x103321,x103322),a903),a903)),f916(f916(f915(x103321,x103322),a903),f916(x103322,a903)),x103321),f7(x103322,f916(f915(x103321,x103322),a903),a903)),f329(f329(f8(f916(x103322,f915(x103321,x103322)),f916(x103322,f916(f916(f915(x103321,x103322),a903),a903)),x103321),f329(f8(f915(x103321,x103322),f916(f916(f915(x103321,x103322),a903),a903),x103322),f331(f915(x103321,x103322)))),f257(x103321,x103322)))),x103323)),f329(f329(f7(x103321,f916(f915(x103321,x103322),a903),f916(x103322,a903)),f329(f329(f8(f916(x103322,f916(f916(f915(x103321,x103322),a903),a903)),f916(f916(f915(x103321,x103322),a903),f916(x103322,a903)),x103321),f7(x103322,f916(f915(x103321,x103322),a903),a903)),f329(f329(f8(f916(x103322,f915(x103321,x103322)),f916(x103322,f916(f916(f915(x103321,x103322),a903),a903)),x103321),f329(f8(f915(x103321,x103322),f916(f916(f915(x103321,x103322),a903),a903),x103322),f331(f915(x103321,x103322)))),f257(x103321,x103322)))),x103324)))
% 191.26/191.46 [9394]~P1(f329(f329(f331(f915(x93941,x93941)),x93942),f309(x93941,x93944)))+P1(f329(f329(f331(f915(x93941,x93941)),x93942),f309(x93941,f329(f329(f115(f916(f915(x93941,x93941),a903)),x93943),x93944))))
% 191.26/191.46 [9395]~P1(f329(f329(f331(f915(x93951,x93951)),x93952),f309(x93951,x93953)))+P1(f329(f329(f331(f915(x93951,x93951)),x93952),f309(x93951,f329(f329(f115(f916(f915(x93951,x93951),a903)),x93953),x93954))))
% 191.26/191.46 [10069]~P1(f329(f329(f240(a908),f329(f329(f82(a908),x100691),x100694)),f329(f329(f82(a908),x100693),x100692)))+P1(f329(f329(f240(a1),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x100691),x100692)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x100693),x100694)),f191(f916(f915(a908,a908),a903)))))))
% 191.26/191.46 [10070]~P1(f329(f329(f241(a908),f329(f329(f82(a908),x100701),x100704)),f329(f329(f82(a908),x100703),x100702)))+P1(f329(f329(f241(a1),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x100701),x100702)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x100703),x100704)),f191(f916(f915(a908,a908),a903)))))))
% 191.26/191.46 [10146]P1(f329(f329(f240(a908),f329(f329(f82(a908),x101461),x101462)),f329(f329(f82(a908),x101463),x101464)))+~P1(f329(f329(f240(a1),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x101461),x101464)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x101463),x101462)),f191(f916(f915(a908,a908),a903)))))))
% 191.26/191.46 [10147]P1(f329(f329(f241(a908),f329(f329(f82(a908),x101471),x101472)),f329(f329(f82(a908),x101473),x101474)))+~P1(f329(f329(f241(a1),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x101471),x101474)),f191(f916(f915(a908,a908),a903)))))),f329(a91,f329(f288(f915(a908,a908),f915(a908,a908),a113),f329(f329(f311(f915(a908,a908)),f329(f329(f257(a908,a908),x101473),x101472)),f191(f916(f915(a908,a908),a903)))))))
% 191.26/191.46 [10188]P1(f329(f329(f240(f916(x101881,a903)),f329(f329(f40(a908,f916(x101881,a903)),f247(f916(a908,a903))),x101882)),f329(f329(f40(a908,f916(x101881,a903)),f247(f916(a908,a903))),x101883)))+~P1(f329(f329(f240(f916(x101881,a903)),f329(f329(f40(a908,f916(x101881,a903)),f329(f304(a908,f2(a908)),f493(x101883,x101884,x101882,x101881))),x101882)),f329(f329(f40(a908,f916(x101881,a903)),f329(f304(a908,f2(a908)),f329(f329(f82(a908),f493(x101883,x101884,x101882,x101881)),x101884))),x101883)))
% 191.26/191.46 [10249]P1(f329(f329(f240(a104),x102494),f2(a104)))+E(f329(f329(f264(f915(a104,a104),f915(x102491,f916(a911,a325)),f915(a104,a104),f915(f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104))),f329(x102492,x102493)),f329(f329(f8(f916(f916(a104,f916(a903,f912(f910(x102491)))),f916(f915(a104,a104),f915(f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104)))),f916(f915(a104,a104),f915(f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104))),f915(x102491,f916(a911,a325))),f329(f264(f915(a104,a104),f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104),f915(f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104))),f280(x102491,x102492,f329(f329(f23(a104),x102494),f80(a104)),x102493))),f329(f329(f8(f916(f916(a104,f916(a903,f912(f910(x102491)))),f916(a104,f916(a903,f912(f910(x102491))))),f916(f916(a104,f916(a903,f912(f910(x102491)))),f916(f915(a104,a104),f915(f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104)))),f915(x102491,f916(a911,a325))),f329(f8(f916(a104,f916(a903,f912(f910(x102491)))),f916(f915(a104,a104),f915(f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104))),f916(a104,f916(a903,f912(f910(x102491))))),f257(f916(a104,f916(a903,f912(f910(x102491)))),f915(a104,a104)))),f329(f329(f8(f916(a104,f916(a903,f912(f910(x102491)))),f916(f916(a104,f916(a903,f912(f910(x102491)))),f916(a104,f916(a903,f912(f910(x102491))))),f915(x102491,f916(a911,a325))),f45(x102491)),f329(f329(f8(x102491,f916(a104,f916(a903,f912(f910(x102491)))),f915(x102491,f916(a911,a325))),f43(x102491)),f256(x102491,f916(a911,a325))))))),f280(x102491,x102492,x102494,x102493))
% 191.26/191.46 [10305]~P1(f329(f329(f331(x103052),x103054),f329(f287(x103051,x103052),x103053)))+P1(f329(f255(x103051,x103052,f329(f329(f7(x103051,f916(f915(x103051,x103052),a903),f916(x103052,a903)),f329(f329(f8(f916(x103052,f916(f916(f915(x103051,x103052),a903),a903)),f916(f916(f915(x103051,x103052),a903),f916(x103052,a903)),x103051),f7(x103052,f916(f915(x103051,x103052),a903),a903)),f329(f329(f8(f916(x103052,f915(x103051,x103052)),f916(x103052,f916(f916(f915(x103051,x103052),a903),a903)),x103051),f329(f8(f915(x103051,x103052),f916(f916(f915(x103051,x103052),a903),a903),x103052),f331(f915(x103051,x103052)))),f257(x103051,x103052)))),x103053)),x103054))
% 191.26/191.46 [10306]~P1(f329(f329(f331(x103061),x103064),f329(f269(x103061,x103062),x103063)))+P1(f329(f254(x103061,x103062,f329(f329(f7(x103061,f916(f915(x103061,x103062),a903),f916(x103062,a903)),f329(f329(f8(f916(x103062,f916(f916(f915(x103061,x103062),a903),a903)),f916(f916(f915(x103061,x103062),a903),f916(x103062,a903)),x103061),f7(x103062,f916(f915(x103061,x103062),a903),a903)),f329(f329(f8(f916(x103062,f915(x103061,x103062)),f916(x103062,f916(f916(f915(x103061,x103062),a903),a903)),x103061),f329(f8(f915(x103061,x103062),f916(f916(f915(x103061,x103062),a903),a903),x103062),f331(f915(x103061,x103062)))),f257(x103061,x103062)))),x103063)),x103064))
% 191.26/191.46 [10318]P1(f329(f329(f331(x103181),x103182),f329(f287(x103183,x103181),x103184)))+~P1(f329(f255(x103183,x103181,f329(f329(f7(x103183,f916(f915(x103183,x103181),a903),f916(x103181,a903)),f329(f329(f8(f916(x103181,f916(f916(f915(x103183,x103181),a903),a903)),f916(f916(f915(x103183,x103181),a903),f916(x103181,a903)),x103183),f7(x103181,f916(f915(x103183,x103181),a903),a903)),f329(f329(f8(f916(x103181,f915(x103183,x103181)),f916(x103181,f916(f916(f915(x103183,x103181),a903),a903)),x103183),f329(f8(f915(x103183,x103181),f916(f916(f915(x103183,x103181),a903),a903),x103181),f331(f915(x103183,x103181)))),f257(x103183,x103181)))),x103184)),x103182))
% 191.26/191.46 [10319]P1(f329(f329(f331(x103191),x103192),f329(f269(x103191,x103193),x103194)))+~P1(f329(f254(x103191,x103193,f329(f329(f7(x103191,f916(f915(x103191,x103193),a903),f916(x103193,a903)),f329(f329(f8(f916(x103193,f916(f916(f915(x103191,x103193),a903),a903)),f916(f916(f915(x103191,x103193),a903),f916(x103193,a903)),x103191),f7(x103193,f916(f915(x103191,x103193),a903),a903)),f329(f329(f8(f916(x103193,f915(x103191,x103193)),f916(x103193,f916(f916(f915(x103191,x103193),a903),a903)),x103191),f329(f8(f915(x103191,x103193),f916(f916(f915(x103191,x103193),a903),a903),x103193),f331(f915(x103191,x103193)))),f257(x103191,x103193)))),x103194)),x103192))
% 191.26/191.46 [9993]P1(f329(f163(x99931,x99932),x99933))+~P1(f329(f163(x99931,f329(f329(f18(x99931,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99931),a327),x99934)),x99932)),x99933))
% 191.26/191.46 [9994]P1(f329(f163(x99941,x99942),x99943))+~P1(f329(f163(x99941,f329(f329(f18(x99941,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99941),a327),x99942)),x99944)),x99943))
% 191.26/191.46 [10071]~P116(x100711)+E(f329(f329(f83(x100711),f329(f329(f82(x100711),f80(x100711)),f80(x100711))),f329(f329(f6(a908,x100711),f329(f329(f8(x100711,x100711,a908),f329(f82(x100711),x100712)),f329(f329(f7(a908,x100711,x100711),f329(f329(f8(x100711,f916(x100711,x100711),a908),f83(x100711)),f105(x100711))),x100713))),f329(f285(a908),x100714))),f329(f329(f83(x100711),f329(f105(x100711),x100714)),f329(f329(f82(x100711),x100712),f329(f329(f82(x100711),x100712),f329(f329(f83(x100711),f329(f105(x100711),f329(f329(f23(a908),x100714),f80(a908)))),x100713)))))
% 191.26/191.46 [10209]P1(f329(x102091,f559(x102092,x102093,x102094,x102091)))+P43(x102092,f329(f267(f915(x102092,x102092)),f329(f262(x102092,x102092,a903),f329(f329(f8(f916(x102092,a903),f916(x102092,a903),x102092),f329(f18(x102092,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102092),a327),x102091))),f329(f329(f7(x102092,f916(x102092,x102092),f916(x102092,a903)),f329(f329(f8(f916(x102092,a903),f916(f916(x102092,x102092),f916(x102092,a903)),x102092),f8(x102092,a903,x102092)),a326)),x102093)))))
% 191.26/191.46 [10227]~P1(f329(f329(f241(a908),f329(x102274,f329(x102273,f559(x102271,x102273,x102274,x102272)))),f329(x102274,f559(x102271,x102273,x102274,x102272))))+P43(x102271,f329(f267(f915(x102271,x102271)),f329(f262(x102271,x102271,a903),f329(f329(f8(f916(x102271,a903),f916(x102271,a903),x102271),f329(f18(x102271,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102271),a327),x102272))),f329(f329(f7(x102271,f916(x102271,x102271),f916(x102271,a903)),f329(f329(f8(f916(x102271,a903),f916(f916(x102271,x102271),f916(x102271,a903)),x102271),f8(x102271,a903,x102271)),a326)),x102273)))))
% 191.26/191.46 [10291]~P10(x102911)+E(f39(x102911,f329(f267(x102911),f329(f329(f8(f916(f916(x102912,x102911),a903),a903,x102911),f89(f916(x102912,x102911))),f329(f329(f8(f916(f916(x102912,x102911),a903),f916(f916(x102912,x102911),a903),x102911),f329(f18(f916(x102912,x102911),a903,a903),f329(f329(f8(a903,f916(a903,a903),f916(x102912,x102911)),a327),f329(f329(f7(f916(x102912,x102911),f916(f916(x102912,x102911),a903),a903),f331(f916(x102912,x102911))),x102913)))),f329(f329(f7(x102911,f916(f916(x102912,x102911),x102911),f916(f916(x102912,x102911),a903)),f329(f329(f8(f916(x102911,a903),f916(f916(f916(x102912,x102911),x102911),f916(f916(x102912,x102911),a903)),x102911),f8(x102911,a903,f916(x102912,x102911))),a326)),f329(f329(f7(f916(x102912,x102911),x102912,x102911),f5(f916(x102912,x102911))),x102914)))))),f329(f39(f916(x102912,x102911),x102913),x102914))
% 191.26/191.46 [10292]~P10(x102921)+E(f39(x102921,f329(f267(x102921),f329(f329(f8(f916(f916(x102922,x102921),a903),a903,x102921),f89(f916(x102922,x102921))),f329(f329(f8(f916(f916(x102922,x102921),a903),f916(f916(x102922,x102921),a903),x102921),f329(f18(f916(x102922,x102921),a903,a903),f329(f329(f8(a903,f916(a903,a903),f916(x102922,x102921)),a327),f329(f329(f7(f916(x102922,x102921),f916(f916(x102922,x102921),a903),a903),f331(f916(x102922,x102921))),x102923)))),f329(f329(f7(x102921,f916(f916(x102922,x102921),x102921),f916(f916(x102922,x102921),a903)),f329(f329(f8(f916(x102921,a903),f916(f916(f916(x102922,x102921),x102921),f916(f916(x102922,x102921),a903)),x102921),f8(x102921,a903,f916(x102922,x102921))),a326)),f329(f329(f7(f916(x102922,x102921),x102922,x102921),f5(f916(x102922,x102921))),x102924)))))),f329(f39(f916(x102922,x102921),x102923),x102924))
% 191.26/191.46 [10293]~P10(x102931)+E(f38(x102931,f329(f267(x102931),f329(f329(f8(f916(f916(x102932,x102931),a903),a903,x102931),f89(f916(x102932,x102931))),f329(f329(f8(f916(f916(x102932,x102931),a903),f916(f916(x102932,x102931),a903),x102931),f329(f18(f916(x102932,x102931),a903,a903),f329(f329(f8(a903,f916(a903,a903),f916(x102932,x102931)),a327),f329(f329(f7(f916(x102932,x102931),f916(f916(x102932,x102931),a903),a903),f331(f916(x102932,x102931))),x102933)))),f329(f329(f7(x102931,f916(f916(x102932,x102931),x102931),f916(f916(x102932,x102931),a903)),f329(f329(f8(f916(x102931,a903),f916(f916(f916(x102932,x102931),x102931),f916(f916(x102932,x102931),a903)),x102931),f8(x102931,a903,f916(x102932,x102931))),a326)),f329(f329(f7(f916(x102932,x102931),x102932,x102931),f5(f916(x102932,x102931))),x102934)))))),f329(f38(f916(x102932,x102931),x102933),x102934))
% 191.26/191.46 [10294]~P10(x102941)+E(f38(x102941,f329(f267(x102941),f329(f329(f8(f916(f916(x102942,x102941),a903),a903,x102941),f89(f916(x102942,x102941))),f329(f329(f8(f916(f916(x102942,x102941),a903),f916(f916(x102942,x102941),a903),x102941),f329(f18(f916(x102942,x102941),a903,a903),f329(f329(f8(a903,f916(a903,a903),f916(x102942,x102941)),a327),f329(f329(f7(f916(x102942,x102941),f916(f916(x102942,x102941),a903),a903),f331(f916(x102942,x102941))),x102943)))),f329(f329(f7(x102941,f916(f916(x102942,x102941),x102941),f916(f916(x102942,x102941),a903)),f329(f329(f8(f916(x102941,a903),f916(f916(f916(x102942,x102941),x102941),f916(f916(x102942,x102941),a903)),x102941),f8(x102941,a903,f916(x102942,x102941))),a326)),f329(f329(f7(f916(x102942,x102941),x102942,x102941),f5(f916(x102942,x102941))),x102944)))))),f329(f38(f916(x102942,x102941),x102943),x102944))
% 191.26/191.46 [10349]~P1(f329(f329(f331(f915(x103491,x103491)),f329(f329(f257(x103491,x103491),x103493),x103494)),f329(f329(f115(f916(f915(x103491,x103491),a903)),x103492),f309(x103491,f191(f916(f915(x103491,x103491),a903))))))+P1(f329(f329(f329(f329(f115(f916(x103491,f916(x103491,a903))),f329(f329(f7(x103491,f916(f915(x103491,x103491),a903),f916(x103491,a903)),f329(f329(f8(f916(x103491,f916(f916(f915(x103491,x103491),a903),a903)),f916(f916(f915(x103491,x103491),a903),f916(x103491,a903)),x103491),f7(x103491,f916(f915(x103491,x103491),a903),a903)),f329(f329(f8(f916(x103491,f915(x103491,x103491)),f916(x103491,f916(f916(f915(x103491,x103491),a903),a903)),x103491),f329(f8(f915(x103491,x103491),f916(f916(f915(x103491,x103491),a903),a903),x103491),f331(f915(x103491,x103491)))),f257(x103491,x103491)))),x103492)),a326),x103493),x103494))
% 191.26/191.46 [10359]P1(f329(f329(f331(f915(x103591,x103591)),f329(f329(f257(x103591,x103591),x103592),x103593)),f329(f329(f115(f916(f915(x103591,x103591),a903)),x103594),f309(x103591,f191(f916(f915(x103591,x103591),a903))))))+~P1(f329(f329(f329(f329(f115(f916(x103591,f916(x103591,a903))),f329(f329(f7(x103591,f916(f915(x103591,x103591),a903),f916(x103591,a903)),f329(f329(f8(f916(x103591,f916(f916(f915(x103591,x103591),a903),a903)),f916(f916(f915(x103591,x103591),a903),f916(x103591,a903)),x103591),f7(x103591,f916(f915(x103591,x103591),a903),a903)),f329(f329(f8(f916(x103591,f915(x103591,x103591)),f916(x103591,f916(f916(f915(x103591,x103591),a903),a903)),x103591),f329(f8(f915(x103591,x103591),f916(f916(f915(x103591,x103591),a903),a903),x103591),f331(f915(x103591,x103591)))),f257(x103591,x103591)))),x103594)),a326),x103592),x103593))
% 191.26/191.46 [10302]E(f329(f329(f154(f909(x103021)),f329(f329(f154(x103021),x103022),f329(f145(f909(x103021),f909(x103021),f137(x103021),f118(x103021)),f329(f329(f157(f909(x103021),f909(x103021)),f159(f909(x103021),x103021,f118(x103021),f329(f329(f8(f909(x103021),f916(f909(x103021),f909(x103021)),x103021),f16(f909(x103021),f909(x103021))),f329(f329(f7(x103021,f909(x103021),f909(x103021)),f154(x103021)),f118(x103021))))),x103023)))),f182(x103021,f329(f329(f154(f909(x103021)),x103024),f329(f145(f909(f909(x103021)),f909(f909(x103021)),f137(f909(x103021)),f118(f909(x103021))),f329(f329(f157(f909(x103021),f909(f909(x103021))),f159(f909(f909(x103021)),x103021,f118(f909(x103021)),f329(f16(f916(f909(x103021),f909(f909(x103021))),x103021),f329(f329(f7(f909(x103021),f909(f909(x103021)),f909(f909(x103021))),f154(f909(x103021))),f118(f909(x103021)))))),x103023))))),f182(x103021,f329(f329(f154(f909(x103021)),f329(f329(f154(x103021),x103022),x103024)),x103023)))+~P1(f329(f317(f909(f909(x103021)),f183(x103021)),f329(f329(f154(f909(x103021)),f329(f329(f154(x103021),x103022),x103024)),x103023)))
% 191.26/191.46 [10348]~P1(f329(f62(x103482),f329(f267(x103482),x103484)))+P1(f329(f62(x103481),f329(f267(x103481),f329(f329(f8(f916(x103482,a903),a903,x103481),f89(x103482)),f329(f329(f7(x103481,f916(x103482,a903),f916(x103482,a903)),f329(f329(f8(f916(x103482,f916(a903,a903)),f916(f916(x103482,a903),f916(x103482,a903)),x103481),f18(x103482,a903,a903)),f329(f329(f8(f916(x103482,a903),f916(x103482,f916(a903,a903)),x103481),f329(f8(a903,f916(a903,a903),x103482),a327)),f329(f329(f7(x103481,f916(x103482,x103481),f916(x103482,a903)),f329(f329(f8(f916(x103481,a903),f916(f916(x103482,x103481),f916(x103482,a903)),x103481),f8(x103481,a903,x103482)),a326)),x103483)))),x103484)))))
% 191.26/191.46 [5373]E(x53731,x53732)+~E(f172(x53733,x53731,x53734),f172(x53733,x53732,x53735))
% 191.26/191.46 [5374]E(x53741,x53742)+~E(f130(x53743,x53744,x53741),f130(x53743,x53745,x53742))
% 191.26/191.46 [5375]E(x53751,x53752)+~E(f130(x53753,x53751,x53754),f130(x53753,x53752,x53755))
% 191.26/191.46 [8213]~E(f329(x82133,x82134),x82135)+E(f76(x82131,x82132,x82133,x82134,x82135),x82133)
% 191.26/191.46 [8752]~E(f76(x87524,x87525,x87521,x87522,x87523),x87521)+E(f329(x87521,x87522),x87523)
% 191.26/191.46 [9256]~P48(f32(x92561,x92565),x92562,x92563,x92564)+P48(x92561,x92562,x92563,f534(x92564,x92563,x92562,x92565,x92561))
% 191.26/191.46 [9257]~P48(f32(x92571,x92575),x92572,x92573,x92574)+P48(x92571,x92572,x92573,f543(x92574,x92573,x92572,x92575,x92571))
% 191.26/191.46 [9258]~P48(f32(x92585,x92581),x92584,x92583,x92582)+P48(x92581,f534(x92582,x92583,x92584,x92581,x92585),x92583,x92582)
% 191.26/191.46 [9259]~P48(f32(x92595,x92591),x92594,x92593,x92592)+P48(x92591,f543(x92592,x92593,x92594,x92591,x92595),x92593,x92592)
% 191.26/191.46 [9365]~P31(x93652,x93651,x93654,x93653,x93655)+P31(x93651,x93652,f94(x93652,x93651,x93653,x93654),x93655,x93653)
% 191.26/191.46 [6174]P1(f329(f255(x61741,x61742,x61743),x61744))+~P1(f329(f329(x61743,x61745),x61744))
% 191.26/191.46 [6176]P1(f329(f254(x61761,x61762,x61763),x61764))+~P1(f329(f329(x61763,x61764),x61765))
% 191.26/191.46 [6649]~E(x66495,f2(a104))+E(f329(f202(x66491,x66492,x66493,x66494),x66495),f120(x66492))
% 191.26/191.46 [6650]~E(x66505,f2(a104))+E(f329(f200(x66501,x66502,x66503,x66504),x66505),f128(x66502))
% 191.26/191.46 [6787]~E(x67873,f2(a104))+E(f329(f276(x67871,x67872,x67873,x67874),x67875),f329(f257(x67871,x67872),x67875))
% 191.26/191.46 [7844]~P25(x78444,x78441,x78442,x78445)+E(f329(f74(x78441,x78441,x78441,f329(x78442,x78443)),f329(x78442,x78443)),f329(x78442,x78443))
% 191.26/191.46 [8253]~P21(x82535,x82531,x82532)+E(f329(f74(x82531,x82531,x82531,f329(x82532,x82533)),f329(x82532,x82534)),f329(f74(x82531,x82531,x82531,f329(x82532,x82534)),f329(x82532,x82533)))
% 191.26/191.46 [8581]P1(f329(f329(f331(f915(x85811,x85811)),f329(f329(f257(x85811,x85811),x85812),x85813)),f323(x85811,x85814,x85815)))+~P1(f329(f329(f241(a908),f329(x85814,x85812)),f329(x85814,x85813)))
% 191.26/191.46 [8683]~P1(f329(f329(f331(x86834),x86833),f298(x86834,x86831,x86832,x86835)))+P1(f329(f329(x86831,x86832),x86833))
% 191.26/191.46 [8684]~P1(f329(f329(f331(x86844),x86843),f301(x86844,x86841,x86842,x86845)))+P1(f329(f329(x86841,x86842),x86843))
% 191.26/191.46 [8685]~P1(f329(f329(f331(x86854),x86852),f298(x86854,x86851,x86855,x86853)))+P1(f329(f329(x86851,x86852),x86853))
% 191.26/191.46 [8686]~P1(f329(f329(f331(x86864),x86862),f301(x86864,x86861,x86865,x86863)))+P1(f329(f329(x86861,x86862),x86863))
% 191.26/191.46 [8825]~P64(x88252,x88251,x88255,x88253,x88254)+E(f329(f312(x88251,x88252,x88253),x88254),f247(f916(x88252,a903)))
% 191.26/191.46 [9276]~P40(x92761,x92762,x92763,x92764,x92765)+P40(x92761,x92762,x92763,f329(f171(x92761),x92764),f329(f171(x92762),x92765))
% 191.26/191.46 [9278]~P40(x92781,x92782,x92783,f329(f171(x92781),x92784),x92785)+P40(x92781,x92782,x92783,x92784,f329(f171(x92782),x92785))
% 191.26/191.46 [9279]~P40(x92791,x92792,x92793,x92794,f329(f171(x92792),x92795))+P40(x92791,x92792,x92793,f329(f171(x92791),x92794),x92795)
% 191.26/191.46 [9285]P40(x92851,x92852,x92853,x92854,x92855)+~P40(x92851,x92852,x92853,f329(f171(x92851),x92854),f329(f171(x92852),x92855))
% 191.26/191.46 [9681]P1(f329(f329(f331(f915(f909(x96811),f909(x96811))),f329(f329(f257(f909(x96811),f909(x96811)),f329(f329(f154(x96811),x96812),x96813)),f329(f329(f154(x96811),x96812),x96814))),f160(x96811,x96815)))+~P1(f329(f329(f331(f915(f909(x96811),f909(x96811))),f329(f329(f257(f909(x96811),f909(x96811)),x96813),x96814)),f160(x96811,x96815)))
% 191.26/191.46 [9682]P1(f329(f329(f331(f915(f909(x96821),f909(x96821))),f329(f329(f257(f909(x96821),f909(x96821)),f329(f329(f137(x96821),x96822),x96823)),f329(f329(f137(x96821),x96822),x96824))),f150(x96821,x96825)))+~P1(f329(f329(f331(f915(f909(x96821),f909(x96821))),f329(f329(f257(f909(x96821),f909(x96821)),x96823),x96824)),f150(x96821,x96825)))
% 191.26/191.46 [9878]E(f329(f329(f154(x98781),f681(x98782,x98783,x98784,x98785,x98781)),f682(x98782,x98783,x98784,x98785,x98781)),x98785)+~P1(f329(f329(f331(f915(f909(x98781),f909(x98781))),f329(f329(f257(f909(x98781),f909(x98781)),x98785),f329(f329(f154(x98781),x98784),x98783))),f161(x98781,x98782)))
% 191.26/191.46 [9900]E(f329(f329(f154(x99001),f679(x99002,x99003,x99004,x99005,x99001)),f680(x99002,x99003,x99004,x99005,x99001)),x99003)+~P1(f329(f329(f331(f915(f909(x99001),f909(x99001))),f329(f329(f257(f909(x99001),f909(x99001)),f329(f329(f154(x99001),x99005),x99004)),x99003)),f161(x99001,x99002)))
% 191.26/191.46 [10045]~P1(f329(f329(f331(f915(f909(x100451),f909(x100451))),f329(f329(f257(f909(x100451),f909(x100451)),f329(f329(f154(x100451),x100455),x100452)),x100454)),f161(x100451,x100453)))+P1(f329(f329(f331(f915(f909(x100451),f909(x100451))),f329(f329(f257(f909(x100451),f909(x100451)),x100452),f680(x100453,x100454,x100452,x100455,x100451))),f161(x100451,x100453)))
% 191.26/191.46 [10114]~P1(f329(f329(f331(f915(f909(x101141),f909(x101141))),f329(f329(f257(f909(x101141),f909(x101141)),x101145),f329(f329(f154(x101141),x101144),x101143))),f161(x101141,x101142)))+P1(f329(f329(f331(f915(f909(x101141),f909(x101141))),f329(f329(f257(f909(x101141),f909(x101141)),f682(x101142,x101143,x101144,x101145,x101141)),x101143)),f161(x101141,x101142)))
% 191.26/191.46 [10296]P1(f329(f329(f331(f915(x102961,x102961)),f329(f329(f257(x102961,x102961),f329(x102962,f329(f329(f82(a908),x102963),x102964))),f329(x102962,x102963))),f309(x102961,x102965)))+~P1(f329(f329(f331(f915(x102961,x102961)),f329(f329(f257(x102961,x102961),f329(x102962,f329(a117,f597(x102964,x102963,x102965,x102962,x102961)))),f329(x102962,f597(x102964,x102963,x102965,x102962,x102961)))),f309(x102961,x102965)))
% 191.26/191.46 [5341]E(x53411,x53412)+~E(f329(f329(f154(x53413),x53414),x53411),f329(f329(f154(x53413),x53415),x53412))
% 191.26/191.46 [5342]E(x53421,x53422)+~E(f329(f329(f154(x53423),x53421),x53424),f329(f329(f154(x53423),x53422),x53425))
% 191.26/191.46 [5390]P1(f329(x53901,x53902))+~E(f329(f139(x53903,x53901),x53904),f329(f329(f154(x53903),x53902),x53905))
% 191.26/191.46 [5391]P1(f329(x53911,x53912))+~E(f329(f329(f154(x53913),x53912),x53914),f329(f139(x53913,x53911),x53915))
% 191.26/191.46 [5546]~E(f329(f329(f141(x55461),x55463),x55462),f329(f329(f154(x55461),x55464),x55465))+E(f329(f329(f167(x55461),x55462),x55463),x55464)
% 191.26/191.46 [5684]~P19(x56844,x56845,x56841)+E(f329(f329(x56841,x56842),f329(f329(x56841,x56842),x56843)),f329(f329(x56841,x56842),x56843))
% 191.26/191.46 [6233]~E(x62334,f2(a104))+E(f329(f329(f122(x62331,x62332,x62333),x62334),x62335),f329(f329(f257(f909(x62332),x62331),f118(x62332)),x62335))
% 191.26/191.46 [6302]~P112(x63022)+~E(f329(f329(f151(x63021,x63022,x63023),x63024),x63025),f118(x63021))
% 191.26/191.46 [6688]E(x66881,x66882)+~E(f329(f329(f137(x66883),x66884),f329(f329(f154(x66883),x66881),f118(x66883))),f329(f329(f137(x66883),x66885),f329(f329(f154(x66883),x66882),f118(x66883))))
% 191.26/191.46 [6689]E(x66891,x66892)+~E(f329(f329(f137(x66893),x66891),f329(f329(f154(x66893),x66894),f118(x66893))),f329(f329(f137(x66893),x66892),f329(f329(f154(x66893),x66895),f118(x66893))))
% 191.26/191.46 [7000]E(f329(f329(f311(x70001),f329(x70002,x70003)),f329(f312(x70004,x70001,x70002),x70005)),f329(f312(x70004,x70001,x70002),x70005))+~P1(f329(f329(f331(x70004),x70003),x70005))
% 191.26/191.46 [7007]~P1(f329(x70074,f329(x70073,x70075)))+P1(f329(f329(f313(x70071,x70072,x70073),x70074),x70075))
% 191.26/191.46 [7010]~P1(f329(f329(x70103,x70105),x70104))+P1(f329(f329(f248(x70101,x70102,x70103),x70104),x70105))
% 191.26/191.46 [7105]~E(f329(f312(x71051,x71052,x71053),x71054),x71055)+E(f329(f312(f916(x71051,a903),f916(x71052,a903),f312(x71051,x71052,x71053)),f329(f310(x71051),x71054)),f329(f310(x71052),x71055))
% 191.26/191.46 [7450]P30(x74501,x74502,x74503,x74504)+~P30(x74501,x74502,x74503,f329(f329(f311(x74501),x74505),x74504))
% 191.26/191.46 [7515]P1(f329(x75151,x75152))+~P1(f329(f329(f95(x75153,x75154,x75151),x75155),x75152))
% 191.26/191.46 [7562]~P1(f329(f329(f331(x75624),x75623),x75625))+P1(f329(f329(f331(x75621),f329(x75622,x75623)),f329(f312(x75624,x75621,x75622),x75625)))
% 191.26/191.46 [7584]~P112(x75842)+E(f153(x75841,x75842,x75843,f329(f139(x75841,x75844),x75845)),f329(f139(x75841,x75844),f153(x75841,x75842,x75843,x75845)))
% 191.26/191.46 [7615]P1(f329(x76151,f329(x76152,x76153)))+~P1(f329(f329(f313(x76154,x76155,x76152),x76151),x76153))
% 191.26/191.46 [7618]P1(f329(f329(x76181,x76182),x76183))+~P1(f329(f329(f248(x76184,x76185,x76181),x76183),x76182))
% 191.26/191.46 [7619]P1(f329(f329(x76191,x76192),x76193))+~P1(f329(f329(f95(x76194,x76191,x76195),x76192),x76193))
% 191.26/191.46 [7680]~P1(f329(f329(f331(x76803),f329(x76804,x76802)),x76805))+P1(f329(f329(f331(x76801),x76802),f329(f313(x76801,x76803,x76804),x76805)))
% 191.26/191.46 [8084]~P1(f329(f329(f331(x80845),x80843),f329(f313(x80845,x80841,x80842),x80844)))+P1(f329(f329(f331(x80841),f329(x80842,x80843)),x80844))
% 191.26/191.46 [8391]~P21(x83912,x83911,x83913)+E(f329(f145(x83911,x83912,f329(f7(x83912,x83911,x83911),x83913),x83914),f155(x83912,x83915)),f329(f329(f65(x83912,x83911,x83913),x83914),f329(f175(x83912),x83915)))
% 191.26/191.46 [8413]E(f329(x84131,f367(x84132,x84131,x84133,x84134)),x84134)+~P1(f329(f329(f331(x84135),x84134),f329(f312(x84133,x84135,x84131),x84132)))
% 191.26/191.46 [8414]E(f329(x84141,f388(x84142,x84141,x84143,x84144)),x84144)+~P1(f329(f329(f331(x84145),x84144),f329(f312(x84143,x84145,x84141),x84142)))
% 191.26/191.46 [8729]~E(x87292,f329(f329(f154(x87291),x87294),x87295))+P1(f329(f329(f331(f915(f909(x87291),f909(x87291))),f329(f329(f257(f909(x87291),f909(x87291)),f118(x87291)),x87292)),f150(x87291,x87293)))
% 191.26/191.46 [8772]E(f329(x87721,f329(f94(x87722,x87723,x87724,x87721),x87725)),x87725)+~P1(f329(f329(f331(x87723),x87725),f329(f312(x87722,x87723,x87721),x87724)))
% 191.26/191.46 [8775]P30(x87751,x87752,f94(x87752,x87751,x87753,x87754),x87755)+~P1(f329(f329(f240(f916(x87751,a903)),x87755),f329(f312(x87752,x87751,x87754),x87753)))
% 191.26/191.46 [8782]~P40(x87821,x87823,x87825,x87822,x87824)+E(f329(f192(f909(x87821)),x87822),f329(f192(f909(x87823)),x87824))
% 191.26/191.46 [8793]P1(f329(f329(f240(f916(x87931,a903)),f329(f329(f41(x87932,f916(x87931,a903)),x87933),x87934)),f329(x87934,x87935)))+~P1(f329(f329(f331(x87932),x87935),x87933))
% 191.26/191.46 [8841]~P64(x88411,x88412,x88413,x88415,x88414)+E(f329(f312(x88411,x88412,x88413),f247(f916(x88411,a903))),x88414)
% 191.26/191.46 [9062]E(f329(f139(x90621,x90622),f770(x90623,x90624,x90625,x90622,x90621)),x90623)+~E(f329(f139(x90621,x90622),x90625),f329(f329(f154(x90621),x90624),x90623))
% 191.26/191.46 [9063]E(f329(f139(x90631,x90632),f767(x90633,x90632,x90634,x90635,x90631)),x90634)+~E(f329(f329(f154(x90631),x90635),x90634),f329(f139(x90631,x90632),x90633))
% 191.26/191.46 [9157]E(f329(f192(f909(x91571)),x91572),x91573)+~P1(f329(f329(f331(f915(f909(x91571),f909(x91571))),f329(f329(f257(f909(x91571),f909(x91571)),x91574),x91572)),f329(f146(x91571,x91575),x91573)))
% 191.26/191.46 [9158]E(f329(f192(f909(x91581)),x91582),x91583)+~P1(f329(f329(f331(f915(f909(x91581),f909(x91581))),f329(f329(f257(f909(x91581),f909(x91581)),x91582),x91584)),f329(f146(x91581,x91585),x91583)))
% 191.26/191.46 [9226]P1(f329(f329(f331(x92261),f367(x92262,x92263,x92261,x92264)),x92262))+~P1(f329(f329(f331(x92265),x92264),f329(f312(x92261,x92265,x92263),x92262)))
% 191.26/191.46 [9227]P1(f329(f329(f331(x92271),f388(x92272,x92273,x92271,x92274)),x92272))+~P1(f329(f329(f331(x92275),x92274),f329(f312(x92271,x92275,x92273),x92272)))
% 191.26/191.46 [9390]~P46(f916(x93903,a903),f916(x93901,a903),x93902)+P1(f329(f329(f240(f916(x93901,a903)),f329(x93902,f329(f329(f106(f916(x93903,a903)),x93904),x93905))),f329(f329(f106(f916(x93901,a903)),f329(x93902,x93904)),f329(x93902,x93905))))
% 191.26/191.46 [9392]E(f329(f312(x93921,x93922,x93923),f689(x93924,x93923,x93921,x93925,x93922)),x93925)+~P1(f329(f329(f240(f916(x93922,a903)),x93925),f329(f312(x93921,x93922,x93923),x93924)))
% 191.26/191.46 [9699]P1(f329(f329(f331(f915(f909(x96991),f909(x96991))),f329(f329(f257(f909(x96991),f909(x96991)),f329(f329(f154(x96991),x96992),x96993)),f329(f329(f154(x96991),x96992),x96994))),f309(f909(x96991),f160(x96991,x96995))))+~P1(f329(f329(f331(f915(f909(x96991),f909(x96991))),f329(f329(f257(f909(x96991),f909(x96991)),x96993),x96994)),f309(f909(x96991),f160(x96991,x96995))))
% 191.26/191.46 [9730]~E(f329(x97303,f718(x97305,x97304,x97303,x97302,x97301)),f329(x97305,f718(x97305,x97304,x97303,x97302,x97301)))+E(f329(f329(f157(x97301,x97302),x97303),x97304),f329(f329(f157(x97301,x97302),x97305),x97304))
% 191.26/191.46 [9807]~E(f329(f139(x98071,x98075),x98074),f329(f329(f154(x98071),x98073),x98072))+E(f329(f329(f137(x98071),f771(x98072,x98073,x98074,x98075,x98071)),f329(f329(f154(x98071),x98073),f770(x98072,x98073,x98074,x98075,x98071))),x98074)
% 191.26/191.46 [9808]~E(f329(f329(f154(x98081),x98085),x98084),f329(f139(x98081,x98083),x98082))+E(f329(f329(f137(x98081),f768(x98082,x98083,x98084,x98085,x98081)),f329(f329(f154(x98081),x98085),f767(x98082,x98083,x98084,x98085,x98081))),x98082)
% 191.26/191.46 [9812]E(f329(f329(f157(x98121,x98122),x98123),x98124),f329(f329(f157(x98121,x98122),x98125),x98124))+P1(f329(f329(f331(x98121),f718(x98123,x98124,x98125,x98122,x98121)),f329(f175(x98121),x98124)))
% 191.26/191.46 [9843]~P1(f329(f329(f331(x98435),x98434),f329(f288(x98431,x98435,x98433),x98432)))+P1(f329(f329(f331(x98431),f395(x98432,x98433,x98431,x98434,x98435)),x98432))
% 191.26/191.46 [9844]~P1(f329(f329(f331(x98445),x98444),f329(f288(x98441,x98445,x98443),x98442)))+P1(f329(f329(f331(x98441),f438(x98442,x98443,x98441,x98444,x98445)),x98442))
% 191.26/191.46 [9872]~P1(f329(f329(f240(f916(x98725,a903)),x98724),f329(f312(x98721,x98725,x98723),x98722)))+P1(f329(f329(f240(f916(x98721,a903)),f689(x98722,x98723,x98721,x98724,x98725)),x98722))
% 191.26/191.46 [10297]E(x102971,f2(a104))+E(f227(f915(f909(x102972),x102973),f915(x102972,x102973),f329(f329(f257(f909(x102972),x102973),f118(x102972)),x102974),f329(f262(x102972,x102973,f915(f909(x102972),x102973)),f329(f329(f7(x102972,f916(x102973,f915(f909(x102972),x102973)),f916(x102973,f915(f909(x102972),x102973))),f329(f329(f8(f916(f915(f909(x102972),x102973),f915(f909(x102972),x102973)),f916(f916(x102973,f915(f909(x102972),x102973)),f916(x102973,f915(f909(x102972),x102973))),x102972),f8(f915(f909(x102972),x102973),f915(f909(x102972),x102973),x102973)),f329(f329(f8(f916(f909(x102972),f916(x102973,f915(f909(x102972),x102973))),f916(f915(f909(x102972),x102973),f915(f909(x102972),x102973)),x102972),f262(f909(x102972),x102973,f915(f909(x102972),x102973))),f329(f329(f8(f916(f909(x102972),f909(x102972)),f916(f909(x102972),f916(x102973,f915(f909(x102972),x102973))),x102972),f329(f8(f909(x102972),f916(x102973,f915(f909(x102972),x102973)),f909(x102972)),f257(f909(x102972),x102973))),f154(x102972))))),f329(f122(x102973,x102972,x102975),f329(f329(f23(a104),x102971),f80(a104))))),f329(x102975,x102974)),f329(f329(f122(x102973,x102972,x102975),x102971),x102974))
% 191.26/191.46 [6112]E(x61121,x61122)+~E(f329(f261(x61123,x61124),f329(f329(f257(x61123,x61124),x61125),x61121)),x61122)
% 191.26/191.46 [6113]E(x61131,x61132)+~E(f329(f256(x61133,x61134),f329(f329(f257(x61133,x61134),x61131),x61135)),x61132)
% 191.26/191.46 [6376]~E(x63763,f329(f329(f137(x63761),x63764),f329(f329(f154(x63761),x63762),x63765)))+P1(f329(f329(f331(x63761),x63762),f329(f175(x63761),x63763)))
% 191.26/191.46 [6773]E(f329(f312(x67731,x67732,f329(f16(x67732,x67731),x67733)),x67734),f329(f329(f311(x67732),x67733),f191(f916(x67732,a903))))+~P1(f329(f329(f331(x67731),x67735),x67734))
% 191.26/191.46 [6844]E(f329(f329(f115(f916(x68441,a903)),f329(f175(x68441),x68442)),f329(f175(x68441),x68443)),f329(f175(x68441),x68444))+~E(f169(x68441,x68445,x68444),f329(f329(f257(f909(x68441),f909(x68441)),x68442),x68443))
% 191.26/191.46 [6943]~P112(x69432)+E(f329(f192(f909(x69431)),f329(f329(f151(x69431,x69432,x69433),x69434),x69435)),f329(a117,f329(f192(f909(x69431)),x69435)))
% 191.26/191.46 [6955]~P112(x69552)+E(f329(f175(x69551),f329(f329(f151(x69551,x69552,x69553),x69554),x69555)),f329(f329(f311(x69551),x69554),f329(f175(x69551),x69555)))
% 191.26/191.46 [7226]~P116(x72261)+E(f329(f329(f82(x72261),f329(f329(f82(x72261),x72262),x72263)),f329(f329(f82(x72261),x72264),x72265)),f329(f329(f82(x72261),f329(f329(f82(x72261),x72262),x72264)),f329(f329(f82(x72261),x72263),x72265)))
% 191.26/191.46 [7227]~P116(x72271)+E(f329(f329(f83(x72271),f329(f329(f83(x72271),x72272),x72273)),f329(f329(f83(x72271),x72274),x72275)),f329(f329(f83(x72271),f329(f329(f83(x72271),x72272),x72274)),f329(f329(f83(x72271),x72273),x72275)))
% 191.26/191.46 [7228]~P71(x72281)+E(f329(f329(f292(x72281),f329(f329(f83(x72281),x72282),x72283)),f329(f329(f83(x72281),x72284),x72285)),f329(f329(f83(x72281),f329(f329(f292(x72281),x72282),x72284)),f329(f329(f292(x72281),x72283),x72285)))
% 191.26/191.46 [7242]~P112(x72421)+E(f308(x72421,f329(f329(f239(x72421),x72422),x72423),f329(f329(f238(x72421),x72424),x72425)),f329(f329(f106(f916(x72421,a903)),f308(x72421,x72422,x72424)),f308(x72421,x72423,x72425)))
% 191.26/191.46 [7243]~P112(x72431)+E(f307(x72431,f329(f329(f239(x72431),x72432),x72433),f329(f329(f238(x72431),x72434),x72435)),f329(f329(f106(f916(x72431,a903)),f307(x72431,x72432,x72434)),f307(x72431,x72433,x72435)))
% 191.26/191.46 [7244]~P112(x72441)+E(f305(x72441,f329(f329(f239(x72441),x72442),x72443),f329(f329(f238(x72441),x72444),x72445)),f329(f329(f106(f916(x72441,a903)),f305(x72441,x72442,x72444)),f305(x72441,x72443,x72445)))
% 191.26/191.46 [7245]~P112(x72451)+E(f329(f329(f106(f916(x72451,a903)),f329(f304(x72451,x72452),x72453)),f329(f304(x72451,x72454),x72455)),f329(f304(x72451,f329(f329(f239(x72451),x72452),x72454)),f329(f329(f238(x72451),x72453),x72455)))
% 191.26/191.46 [7368]~P1(f329(x73681,f356(x73683,x73682,x73681)))+P1(f329(x73681,f329(f329(f257(x73682,x73683),x73684),x73685)))
% 191.26/191.46 [7482]~E(x74822,f329(x74824,x74825))+P1(f329(f329(f331(x74821),x74822),f329(f312(x74823,x74821,x74824),f247(f916(x74823,a903)))))
% 191.26/191.46 [7559]~P19(x75593,x75592,x75594)+P19(x75591,x75592,f329(f329(f8(x75593,f916(x75592,x75592),x75591),x75594),x75595))
% 191.26/191.46 [7560]~P21(x75603,x75602,x75604)+P21(x75601,x75602,f329(f329(f8(x75603,f916(x75602,x75602),x75601),x75604),x75605))
% 191.26/191.46 [7697]~P30(x76971,x76972,x76973,x76974)+P30(x76971,x76972,x76973,f329(f329(f23(f916(x76971,a903)),x76974),x76975))
% 191.26/191.46 [7853]~P1(f329(f329(x78533,x78534),x78535))+P1(f329(f329(f262(x78531,x78532,a903),x78533),f329(f329(f257(x78531,x78532),x78534),x78535)))
% 191.26/191.46 [7973]~P1(f329(x79732,x79734))+~E(f329(f329(f141(x79731),f329(f192(f909(x79731)),f180(x79731,x79732,x79733))),x79733),f329(f329(f154(x79731),x79734),x79735))
% 191.26/191.46 [7993]P30(x79931,x79932,x79933,x79934)+~P30(x79931,x79932,x79933,f329(f329(f115(f916(x79931,a903)),x79935),x79934))
% 191.26/191.46 [7994]P30(x79941,x79942,x79943,x79944)+~P30(x79941,x79942,x79943,f329(f329(f115(f916(x79941,a903)),x79944),x79945))
% 191.26/191.46 [8041]~P112(x80412)+E(f329(f329(f151(x80411,x80412,x80413),x80414),f153(x80411,x80412,x80413,x80415)),f153(x80411,x80412,x80413,f329(f329(f154(x80411),x80414),x80415)))
% 191.26/191.46 [8210]~P33(x82101,f329(a117,x82102),f329(f329(f329(f93(x82101),x82103),f329(a26,x82104)),x82105))+P33(x82101,x82102,f329(f329(f329(f93(x82101),x82103),f329(f236(a904),f329(a27,x82104))),x82105))
% 191.26/191.46 [8339]P33(x83391,f329(a117,x83392),f329(f329(f329(f93(x83391),x83393),f329(a26,x83394)),x83395))+~P33(x83391,x83392,f329(f329(f329(f93(x83391),x83393),f329(f236(a904),f329(a27,x83394))),x83395))
% 191.26/191.46 [8368]~P19(x83682,x83681,x83683)+E(f329(f145(x83681,x83682,f329(f7(x83682,x83681,x83681),x83683),x83684),x83685),f329(f329(f65(x83682,x83681,x83683),x83684),f329(f175(x83682),x83685)))
% 191.26/191.46 [8396]~E(f329(f329(f141(x83961),f329(f192(f909(x83961)),f180(x83961,x83962,x83963))),x83963),f329(f329(f154(x83961),x83964),x83965))+E(f329(f329(f137(x83961),f180(x83961,x83962,x83963)),f329(f329(f154(x83961),x83964),x83965)),x83963)
% 191.26/191.46 [8424]P1(f329(f329(x84241,x84242),x84243))+~P1(f329(f329(f262(x84244,x84245,a903),x84241),f329(f329(f257(x84244,x84245),x84242),x84243)))
% 191.26/191.46 [8496]P48(x84964,f429(x84965,x84964,x84963,x84962),x84962,f442(x84965,x84964,x84963,x84962))+P33(x84961,x84962,f329(f329(f329(f93(x84961),x84963),x84964),x84965))
% 191.26/191.46 [8898]P1(f329(f329(f240(f916(x88981,a903)),f329(f312(x88982,x88981,x88983),x88984)),f329(f312(x88982,x88981,x88983),x88985)))+~P1(f329(f329(f240(f916(x88982,a903)),x88984),x88985))
% 191.26/191.46 [8899]P1(f329(f329(f240(f916(x88991,a903)),f329(f313(x88991,x88992,x88993),x88994)),f329(f313(x88991,x88992,x88993),x88995)))+~P1(f329(f329(f240(f916(x88992,a903)),x88994),x88995))
% 191.26/191.46 [8974]E(x89741,f2(a104))+E(f329(f329(f264(x89742,x89743,x89742,f915(x89743,x89742)),f329(x89744,x89745)),f276(x89743,x89742,f329(f329(f23(a104),x89741),f80(a104)),x89744)),f329(f276(x89743,x89742,x89741,x89744),x89745))
% 191.26/191.46 [9087]P1(f329(f329(f260(x90871,x90872,a903,x90873),x90874),x90875))+~P1(f329(x90873,f329(f329(f257(x90871,x90872),x90874),x90875)))
% 191.26/191.46 [9309]P33(x93091,x93092,f329(f329(f329(f93(x93091),x93093),x93094),x93095))+P1(f329(f329(x93093,f424(x93095,x93094,x93093,x93092)),f429(x93095,x93094,x93093,x93092)))
% 191.26/191.46 [9370]~P1(f329(f329(f260(x93702,x93703,a903,x93701),x93704),x93705))+P1(f329(x93701,f329(f329(f257(x93702,x93703),x93704),x93705)))
% 191.26/191.46 [9547]P33(x95471,x95472,f329(f329(f329(f93(x95471),x95473),x95474),x95475))+~P1(f329(f329(x95475,f424(x95475,x95474,x95473,x95472)),f442(x95475,x95474,x95473,x95472)))
% 191.26/191.46 [9550]~P1(f329(f329(f331(x95502),x95505),f329(f312(x95501,x95502,x95504),x95503)))+P1(f329(f329(f331(x95501),f329(f94(x95501,x95502,x95503,x95504),x95505)),x95503))
% 191.26/191.46 [9617]~P29(x96171,x96172,f329(f329(f311(f907(x96171)),f329(f329(f329(f93(x96171),x96173),f329(f236(a904),f329(a27,x96174))),x96175)),f191(f916(f907(x96171),a903))))+P29(x96171,x96172,f329(f329(f311(f907(x96171)),f329(f329(f329(f93(x96171),x96173),f329(a26,x96174)),x96175)),f191(f916(f907(x96171),a903))))
% 191.26/191.46 [9642]~P1(f329(f62(x96423),f329(f312(x96422,x96423,x96425),f247(f916(x96422,a903)))))+P1(f329(f62(x96421),f329(f312(x96422,x96421,f329(f329(f8(x96423,x96421,x96422),x96424),x96425)),f247(f916(x96422,a903)))))
% 191.26/191.46 [9666]P1(f329(f329(f240(f916(f916(x96661,a903),a903)),f329(f312(f916(x96662,a903),f916(x96661,a903),f312(x96662,x96661,x96663)),f329(f310(x96662),x96664))),f329(f310(x96661),x96665)))+~P1(f329(f329(f240(f916(x96661,a903)),f329(f312(x96662,x96661,x96663),x96664)),x96665))
% 191.26/191.46 [9739]E(x97391,x97392)+~P1(f329(f67(x97393,x97394,x97395,x97391,f191(f916(x97393,a903))),x97392))
% 191.26/191.46 [9756]E(f329(f329(f257(x97561,x97562),f518(x97563,x97564,x97565,x97562,x97561)),f519(x97563,x97564,x97565,x97562,x97561)),x97565)+~P1(f329(f329(f331(f915(x97561,x97562)),x97565),f329(f329(f259(x97561,x97562),x97564),x97563)))
% 191.26/191.46 [9848]P1(f329(f329(f331(x98481),f518(x98482,x98483,x98484,x98485,x98481)),x98483))+~P1(f329(f329(f331(f915(x98481,x98485)),x98484),f329(f329(f259(x98481,x98485),x98483),x98482)))
% 191.26/191.46 [9950]P29(x99505,x99504,f329(f329(f311(f907(x99505)),f329(f329(f329(f93(x99505),x99501),x99503),x99502)),f191(f916(f907(x99505),a903))))+P1(f329(f329(x99501,f471(x99502,x99503,x99504,x99505,x99501)),f478(x99502,x99503,x99504,x99505,x99501)))
% 191.26/191.46 [10002]P1(f329(f329(f331(x100021),f519(x100022,x100023,x100024,x100021,x100025)),f329(x100022,f518(x100022,x100023,x100024,x100021,x100025))))+~P1(f329(f329(f331(f915(x100025,x100021)),x100024),f329(f329(f259(x100025,x100021),x100023),x100022)))
% 191.26/191.46 [10022]P1(f329(f329(f331(f915(x100221,x100221)),f329(f329(f257(x100221,x100221),x100222),f622(x100223,x100224,x100225,x100222,x100221))),x100223))+~P1(f329(f329(f331(f915(x100221,x100221)),f329(f329(f257(x100221,x100221),x100222),x100225)),f329(f329(f186(f915(x100221,x100221),a903),f329(a117,x100224)),x100223)))
% 191.26/191.46 [10023]P1(f329(f329(f331(f915(x100231,x100231)),f329(f329(f257(x100231,x100231),x100232),f624(x100233,x100234,x100235,x100232,x100231))),x100233))+~P1(f329(f329(f331(f915(x100231,x100231)),f329(f329(f257(x100231,x100231),x100232),x100235)),f329(f329(f186(f915(x100231,x100231),a903),f329(a117,x100234)),x100233)))
% 191.26/191.46 [10040]~P1(f329(f329(f331(f915(f909(x100401),f909(x100401))),f329(f329(f257(f909(x100401),f909(x100401)),f329(f329(f154(x100401),x100402),x100405)),x100404)),f161(x100401,x100403)))+P1(f329(f329(f331(f915(x100401,x100401)),f329(f329(f257(x100401,x100401),x100402),f679(x100403,x100404,x100405,x100402,x100401))),x100403))
% 191.26/191.46 [10042]~P34(x100421,x100422,f329(f329(f311(f907(x100421)),f329(f329(f329(f93(x100421),f95(x100421,x100423,x100424)),x100425),x100423)),f191(f916(f907(x100421),a903))))+P34(x100421,x100422,f329(f329(f311(f907(x100421)),f329(f329(f329(f93(x100421),x100423),f31(x100424,x100425)),f95(x100421,x100423,f329(f74(a903,a903,a905,a324),x100424)))),f191(f916(f907(x100421),a903))))
% 191.26/191.46 [10043]~P29(x100431,x100432,f329(f329(f311(f907(x100431)),f329(f329(f329(f93(x100431),f95(x100431,x100433,x100434)),x100435),x100433)),f191(f916(f907(x100431),a903))))+P29(x100431,x100432,f329(f329(f311(f907(x100431)),f329(f329(f329(f93(x100431),x100433),f31(x100434,x100435)),f95(x100431,x100433,f329(f74(a903,a903,a905,a324),x100434)))),f191(f916(f907(x100431),a903))))
% 191.26/191.46 [10321]P29(x103211,x103212,f329(f329(f311(f907(x103211)),f329(f329(f329(f93(x103211),x103213),x103214),x103215)),f191(f916(f907(x103211),a903))))+~P29(x103211,x103212,f329(f329(f311(f907(x103211)),f329(f329(f329(f93(x103211),f329(f16(f916(a905,a903),x103211),f329(f329(f7(a905,a905,a903),a326),f478(x103215,x103214,x103212,x103211,x103213)))),x103214),f329(f16(f916(a905,a903),x103211),f329(x103215,f471(x103215,x103214,x103212,x103211,x103213))))),f191(f916(f907(x103211),a903))))
% 191.26/191.46 [6452]P1(f329(x64522,x64524))+E(f180(x64521,x64522,f329(f329(f137(x64521),x64523),f329(f329(f154(x64521),x64524),x64525))),f180(x64521,x64522,x64523))
% 191.26/191.46 [6502]~P2(x65022)+E(f329(f329(f329(f115(f916(x65021,x65022)),x65023),x65024),x65025),f329(f329(f115(x65022),f329(x65023,x65025)),f329(x65024,x65025)))
% 191.26/191.46 [6504]~P81(x65042)+E(f329(f329(f329(f23(f916(x65041,x65042)),x65043),x65044),x65045),f329(f329(f23(x65042),f329(x65043,x65045)),f329(x65044,x65045)))
% 191.26/191.46 [6506]~P2(x65062)+E(f329(f329(f329(f106(f916(x65061,x65062)),x65063),x65064),x65065),f329(f329(f106(x65062),f329(x65063,x65065)),f329(x65064,x65065)))
% 191.26/191.46 [6525]E(x65251,x65252)+E(f329(f329(f167(x65253),f329(f329(f162(x65253,x65254),x65251),x65255)),x65252),f329(f329(f167(x65253),x65254),x65252))
% 191.26/191.46 [6792]~E(x67924,f191(f916(x67923,a903)))+E(f329(f329(f115(f916(x67921,a903)),x67922),f329(f329(f40(x67923,f916(x67921,a903)),x67924),x67925)),x67922)
% 191.26/191.46 [6793]~E(x67934,f191(f916(x67933,a903)))+E(f329(f329(f23(f916(x67931,a903)),x67932),f329(f329(f40(x67933,f916(x67931,a903)),x67934),x67935)),x67932)
% 191.26/191.46 [6794]~E(x67944,f191(f916(x67943,a903)))+E(f329(f329(f106(f916(x67941,a903)),x67942),f329(f329(f41(x67943,f916(x67941,a903)),x67944),x67945)),x67942)
% 191.26/191.46 [6810]~E(x68104,f191(f916(x68103,a903)))+E(f329(f329(f311(x68101),x68102),f329(f329(f40(x68103,f916(x68101,a903)),x68104),x68105)),f329(f329(f311(x68101),x68102),f191(f916(x68101,a903))))
% 191.26/191.46 [7606]E(f329(f329(f167(x76061),f329(f329(f157(x76062,x76061),x76063),x76064)),x76065),f329(x76063,f329(f329(f167(x76062),x76064),x76065)))+~P1(f329(f329(f241(a908),x76065),f329(f192(f909(x76062)),x76064)))
% 191.26/191.46 [7668]E(f329(f329(f115(f916(x76681,a903)),f329(x76682,x76683)),f329(f329(f40(x76684,f916(x76681,a903)),x76685),x76682)),f329(f329(f40(x76684,f916(x76681,a903)),x76685),x76682))+~P1(f329(f329(f331(x76684),x76683),x76685))
% 191.26/191.46 [7669]E(f329(f329(f106(f916(x76691,a903)),f329(x76692,x76693)),f329(f329(f41(x76694,f916(x76691,a903)),x76695),x76692)),f329(f329(f41(x76694,f916(x76691,a903)),x76695),x76692))+~P1(f329(f329(f331(x76694),x76693),x76695))
% 191.26/191.46 [8289]~E(x82893,f191(f916(x82891,a903)))+E(f329(f329(f40(x82891,f916(x82892,a903)),x82893),f329(f329(f8(f916(x82892,a903),f916(x82892,a903),x82891),f329(f311(x82892),x82894)),x82895)),f191(f916(x82892,a903)))
% 191.26/191.46 [8295]~P1(f329(f329(f331(x82954),x82953),x82955))+P1(f329(f329(f240(f916(x82951,a903)),f329(x82952,x82953)),f329(f329(f40(x82954,f916(x82951,a903)),x82955),x82952)))
% 191.26/191.46 [8423]~E(f329(x84234,x84232),x84235)+P1(f329(f329(f331(x84231),x84232),f329(f313(x84231,x84233,x84234),f329(f329(f311(x84233),x84235),f191(f916(x84233,a903))))))
% 191.26/191.46 [8471]~P62(x84711,x84712,f329(f289(x84712,x84711),x84713))+E(f329(f329(f106(f916(x84711,a903)),f329(f288(x84712,x84711,x84713),x84714)),f329(f288(x84712,x84711,x84713),x84715)),f329(f288(x84712,x84711,x84713),f329(f329(f106(f916(x84712,a903)),x84714),x84715)))
% 191.26/191.46 [8547]E(x85471,f2(a104))+E(f329(f123(x85472,x85473,f329(x85474,f329(f329(f23(a104),x85471),f80(a104)))),f329(f329(f7(x85472,a104,f910(x85473)),x85475),x85471)),f329(f202(x85472,x85473,x85474,x85475),x85471))
% 191.26/191.46 [8591]E(x85911,f191(f916(x85912,a903)))+E(f329(f329(f40(x85912,f916(x85913,a903)),x85911),f329(f329(f8(f916(x85913,a903),f916(x85913,a903),x85912),f329(f311(x85913),x85914)),x85915)),f329(f329(f311(x85913),x85914),f329(f329(f40(x85912,f916(x85913,a903)),x85911),x85915)))
% 191.26/191.46 [8649]~P30(x86492,x86491,x86493,f247(f916(x86492,a903)))+E(f329(f329(f23(f916(x86491,a903)),f329(f312(x86492,x86491,x86493),x86494)),f329(f312(x86492,x86491,x86493),x86495)),f329(f312(x86492,x86491,x86493),f329(f329(f23(f916(x86492,a903)),x86494),x86495)))
% 191.26/191.46 [8650]~P30(x86502,x86501,x86503,f247(f916(x86502,a903)))+E(f329(f329(f106(f916(x86501,a903)),f329(f312(x86502,x86501,x86503),x86504)),f329(f312(x86502,x86501,x86503),x86505)),f329(f312(x86502,x86501,x86503),f329(f329(f106(f916(x86502,a903)),x86504),x86505)))
% 191.26/191.46 [8716]~P1(f329(f329(f68(x87161,x87162,x87165),x87163),x87164))+P1(f329(f329(f331(f915(x87161,x87162)),f329(f329(f257(x87161,x87162),x87163),x87164)),x87165))
% 191.26/191.46 [8747]P1(f329(f329(f331(x87471),x87472),f329(f287(x87473,x87471),x87474)))+~P1(f329(f329(f331(f915(x87473,x87471)),f329(f329(f257(x87473,x87471),x87475),x87472)),x87474))
% 191.26/191.46 [8749]P1(f329(f329(f331(x87491),x87492),f329(f269(x87491,x87493),x87494)))+~P1(f329(f329(f331(f915(x87491,x87493)),f329(f329(f257(x87491,x87493),x87492),x87495)),x87494))
% 191.26/191.46 [8882]P1(f329(f329(f68(x88821,x88822,x88823),x88824),x88825))+~P1(f329(f329(f331(f915(x88821,x88822)),f329(f329(f257(x88821,x88822),x88824),x88825)),x88823))
% 191.26/191.46 [8921]E(f329(x89211,x89212),x89213)+~P1(f329(f329(f331(x89214),x89212),f329(f313(x89214,x89215,x89211),f329(f329(f311(x89215),x89213),f191(f916(x89215,a903))))))
% 191.26/191.46 [9154]P1(f329(f329(f331(f915(x91541,x91542)),f329(f329(f257(x91541,x91542),x91543),x91544)),f329(f289(x91542,x91541),x91545)))+~P1(f329(f329(f331(f915(x91542,x91541)),f329(f329(f257(x91542,x91541),x91544),x91543)),x91545))
% 191.26/191.46 [9172]~P1(f329(f329(x91721,x91725),x91724))+P1(f329(f329(x91721,f329(f261(x91722,x91723),f329(f329(f257(x91722,x91723),x91724),x91725))),f329(f256(x91722,x91723),f329(f329(f257(x91722,x91723),x91724),x91725))))
% 191.26/191.46 [9201]~P1(f329(f329(f331(f915(x92012,x92011)),f329(f329(f257(x92012,x92011),x92014),x92013)),f329(f289(x92011,x92012),x92015)))+P1(f329(f329(f331(f915(x92011,x92012)),f329(f329(f257(x92011,x92012),x92013),x92014)),x92015))
% 191.26/191.46 [9234]~P1(f329(f329(f331(f915(x92343,x92341)),f329(f329(f257(x92343,x92341),x92345),x92342)),x92344))+P1(f329(f329(f331(x92341),x92342),f329(f288(x92343,x92341,x92344),f329(f329(f311(x92343),x92345),f191(f916(x92343,a903))))))
% 191.26/191.46 [9290]P1(f329(f329(f331(f915(x92901,x92902)),f329(f329(f257(x92901,x92902),x92903),x92904)),x92905))+~P1(f329(f329(f331(x92902),x92904),f329(f288(x92901,x92902,x92905),f329(f329(f311(x92901),x92903),f191(f916(x92901,a903))))))
% 191.26/191.46 [9377]~P5(x93771)+E(f329(f329(f6(a908,x93771),x93772),f305(a908,f329(f329(f82(a908),x93773),x93774),f329(f329(f82(a908),x93775),x93774))),f329(f329(f6(a908,x93771),f329(f329(f8(a908,x93771,a908),x93772),f329(f329(f7(a908,a908,a908),f82(a908)),x93774))),f305(a908,x93773,x93775)))
% 191.26/191.46 [9396]~P5(x93961)+E(f329(f329(f6(a908,x93961),x93962),f329(f304(a908,f329(f329(f82(a908),x93963),x93964)),f329(f329(f82(a908),x93965),x93964))),f329(f329(f6(a908,x93961),f329(f329(f8(a908,x93961,a908),x93962),f329(f329(f7(a908,a908,a908),f82(a908)),x93964))),f329(f304(a908,x93963),x93965)))
% 191.26/191.46 [9452]~P30(x94521,x94522,x94523,f247(f916(x94521,a903)))+E(f329(f329(f157(x94521,x94522),x94523),f329(f139(x94521,f329(f329(f8(a903,a903,x94521),a324),f329(a326,x94524))),x94525)),f329(f139(x94522,f329(f329(f8(a903,a903,x94522),a324),f329(a326,f329(x94523,x94524)))),f329(f329(f157(x94521,x94522),x94523),x94525)))
% 191.26/191.46 [9470]~P30(x94701,x94702,x94703,f329(f329(f311(x94701),x94704),f329(f175(x94701),x94705)))+E(f329(f329(f157(x94701,x94702),x94703),f329(f139(x94701,f329(f329(f8(a903,a903,x94701),a324),f329(a326,x94704))),x94705)),f329(f139(x94702,f329(f329(f8(a903,a903,x94702),a324),f329(a326,f329(x94703,x94704)))),f329(f329(f157(x94701,x94702),x94703),x94705)))
% 191.26/191.46 [9631]P1(f329(f329(f331(f915(f909(x96311),f909(x96311))),f329(f329(f257(f909(x96311),f909(x96311)),f329(f329(f154(x96311),x96312),x96313)),f329(f329(f154(x96311),x96314),x96313))),f160(x96311,x96315)))+~P1(f329(f329(f331(f915(x96311,x96311)),f329(f329(f257(x96311,x96311),x96312),x96314)),x96315))
% 191.26/191.46 [9737]P29(x97371,x97372,f329(f329(f311(f907(x97371)),f329(f329(f329(f93(x97371),x97373),f329(a26,x97374)),x97375)),f191(f916(f907(x97371),a903))))+~P29(x97371,f329(f329(f311(f907(x97371)),f329(f329(f329(f93(x97371),x97373),f329(a26,x97374)),x97375)),x97372),f329(f329(f311(f907(x97371)),f329(f329(f329(f93(x97371),x97373),f329(f236(a904),f329(a27,x97374))),x97375)),f191(f916(f907(x97371),a903))))
% 191.26/191.46 [9751]E(f329(f329(f311(x97511),f500(x97512,x97513,x97514,x97515,x97511)),f502(x97512,x97513,x97514,x97515,x97511)),f329(f329(f311(x97511),x97514),x97513))+~P1(f329(f63(x97511,x97515,f329(f329(f311(x97511),x97514),x97513)),x97512))
% 191.26/191.46 [9752]E(f329(f329(f311(x97521),f503(x97522,x97523,x97524,x97525,x97521)),f504(x97522,x97523,x97524,x97525,x97521)),f329(f329(f311(x97521),x97524),x97523))+~P1(f329(f63(x97521,x97525,f329(f329(f311(x97521),x97524),x97523)),x97522))
% 191.26/191.46 [9833]P1(f329(f329(f331(x98331),f635(x98332,x98333,x98334,x98335,x98331)),x98334))+P1(f329(f329(f329(f41(x98331,f916(x98335,a903)),x98334),x98333),x98332))
% 191.26/191.46 [9838]P1(f329(f329(f331(x98381),f628(x98382,x98383,x98381,x98384,x98385)),x98383))+P1(f329(f329(f331(x98385),x98384),f329(f329(f41(x98381,f916(x98385,a903)),x98383),x98382)))
% 191.26/191.46 [9847]P1(f329(f329(f331(x98471),f633(x98472,x98473,x98471,x98474,x98475)),x98473))+P1(f329(f329(f240(f916(x98475,a903)),x98474),f329(f329(f41(x98471,f916(x98475,a903)),x98473),x98472)))
% 191.26/191.46 [9849]P1(f329(f329(x98491,f466(x98492,x98491,x98493,x98494,x98495)),x98492))+~P1(f329(f329(f329(f40(x98495,f916(x98494,a903)),x98493),x98491),x98492))
% 191.26/191.46 [9853]P1(f329(f329(f331(x98531),f466(x98532,x98533,x98534,x98535,x98531)),x98534))+~P1(f329(f329(f329(f40(x98531,f916(x98535,a903)),x98534),x98533),x98532))
% 191.26/191.46 [9854]P60(x98544,f329(f329(f41(x98541,f916(x98544,a903)),x98545),x98543),f329(f329(f41(x98541,f916(f915(x98544,x98544),a903)),x98545),x98542))+P1(f329(f329(f331(x98541),f800(x98542,x98543,x98544,x98545,x98541)),x98545))
% 191.26/191.46 [9864]P1(f329(f329(f331(x98641),f472(x98642,x98643,x98641,x98644,x98645)),x98643))+~P1(f329(f329(f331(x98645),x98644),f329(f329(f40(x98641,f916(x98645,a903)),x98643),x98642)))
% 191.26/191.46 [9870]P1(f329(f329(f331(x98701),x98702),f329(x98703,f472(x98703,x98704,x98705,x98702,x98701))))+~P1(f329(f329(f331(x98701),x98702),f329(f329(f40(x98705,f916(x98701,a903)),x98704),x98703)))
% 191.26/191.46 [9955]~P1(f329(f329(x99554,f635(x99555,x99554,x99553,x99552,x99551)),x99555))+P1(f329(f329(f329(f41(x99551,f916(x99552,a903)),x99553),x99554),x99555))
% 191.26/191.46 [9958]~P1(f329(f329(f331(x99581),x99582),f329(x99585,f628(x99585,x99584,x99583,x99582,x99581))))+P1(f329(f329(f331(x99581),x99582),f329(f329(f41(x99583,f916(x99581,a903)),x99584),x99585)))
% 191.26/191.46 [9962]~P60(x99621,f329(x99624,f800(x99625,x99624,x99621,x99623,x99622)),f329(x99625,f800(x99625,x99624,x99621,x99623,x99622)))+P60(x99621,f329(f329(f41(x99622,f916(x99621,a903)),x99623),x99624),f329(f329(f41(x99622,f916(f915(x99621,x99621),a903)),x99623),x99625))
% 191.26/191.46 [9963]~P1(f329(f329(f240(f916(x99631,a903)),x99632),f329(x99635,f633(x99635,x99634,x99633,x99632,x99631))))+P1(f329(f329(f240(f916(x99631,a903)),x99632),f329(f329(f41(x99633,f916(x99631,a903)),x99634),x99635)))
% 191.26/191.46 [10026]~P1(f329(f329(f331(x100261),f500(x100265,x100264,x100263,x100262,x100261)),f502(x100265,x100264,x100263,x100262,x100261)))+~P1(f329(f63(x100261,x100262,f329(f329(f311(x100261),x100263),x100264)),x100265))
% 191.26/191.46 [10027]~P1(f329(f329(f331(x100271),f503(x100275,x100274,x100273,x100272,x100271)),f504(x100275,x100274,x100273,x100272,x100271)))+~P1(f329(f63(x100271,x100272,f329(f329(f311(x100271),x100273),x100274)),x100275))
% 191.26/191.46 [10028]~P1(f329(f329(f331(f915(x100281,x100281)),f329(f329(f257(x100281,x100281),x100282),x100285)),f329(f329(f186(f915(x100281,x100281),a903),f329(a117,x100284)),x100283)))+P1(f329(f329(f331(f915(x100281,x100281)),f329(f329(f257(x100281,x100281),x100282),f623(x100283,x100284,x100285,x100282,x100281))),f329(f329(f186(f915(x100281,x100281),a903),x100284),x100283)))
% 191.26/191.46 [10034]P1(f329(f67(x100341,x100341,x100342,f500(x100343,x100344,x100345,x100342,x100341),f502(x100343,x100344,x100345,x100342,x100341)),x100343))+~P1(f329(f63(x100341,x100342,f329(f329(f311(x100341),x100345),x100344)),x100343))
% 191.26/191.46 [10035]P1(f329(f67(x100351,x100351,x100352,f503(x100353,x100354,x100355,x100352,x100351),f504(x100353,x100354,x100355,x100352,x100351)),x100353))+~P1(f329(f63(x100351,x100352,f329(f329(f311(x100351),x100355),x100354)),x100353))
% 191.26/191.46 [10047]~P112(x100471)+P18(x100471,f329(f329(f157(x100472,x100471),x100473),f329(f139(x100472,f329(f329(f7(x100472,x100471,a903),f329(f329(f8(x100471,f916(x100471,a903),x100472),a326),x100473)),f329(x100474,x100475))),x100475)))
% 191.26/191.46 [10086]~P1(f329(f329(f331(x100862),x100865),f329(f288(x100861,x100862,x100864),x100863)))+P1(f329(f329(f331(f915(x100861,x100862)),f329(f329(f257(x100861,x100862),f395(x100863,x100864,x100861,x100865,x100862)),x100865)),x100864))
% 191.26/191.46 [10087]~P1(f329(f329(f331(x100872),x100875),f329(f288(x100871,x100872,x100874),x100873)))+P1(f329(f329(f331(f915(x100871,x100872)),f329(f329(f257(x100871,x100872),f438(x100873,x100874,x100871,x100875,x100872)),x100875)),x100874))
% 191.26/191.46 [10107]~P1(f329(f329(f331(f915(x101071,x101071)),f329(f329(f257(x101071,x101071),x101075),x101074)),f329(f329(f186(f915(x101071,x101071),a903),f329(a117,x101073)),x101072)))+P1(f329(f329(f331(f915(x101071,x101071)),f329(f329(f257(x101071,x101071),f623(x101072,x101073,x101074,x101075,x101071)),x101074)),x101072))
% 191.26/191.46 [10110]~P1(f329(f329(f331(f915(x101101,x101101)),f329(f329(f257(x101101,x101101),x101105),x101104)),f329(f329(f186(f915(x101101,x101101),a903),f329(a117,x101103)),x101102)))+P1(f329(f329(f331(f915(x101101,x101101)),f329(f329(f257(x101101,x101101),f622(x101102,x101103,x101104,x101105,x101101)),x101104)),f329(f329(f186(f915(x101101,x101101),a903),x101103),x101102)))
% 191.26/191.46 [10111]~P1(f329(f329(f331(f915(x101111,x101111)),f329(f329(f257(x101111,x101111),x101115),x101114)),f329(f329(f186(f915(x101111,x101111),a903),f329(a117,x101113)),x101112)))+P1(f329(f329(f331(f915(x101111,x101111)),f329(f329(f257(x101111,x101111),f624(x101112,x101113,x101114,x101115,x101111)),x101114)),f329(f329(f186(f915(x101111,x101111),a903),x101113),x101112)))
% 191.26/191.46 [10112]~P1(f329(f329(f331(f915(f909(x101121),f909(x101121))),f329(f329(f257(f909(x101121),f909(x101121)),x101125),f329(f329(f154(x101121),x101124),x101123))),f161(x101121,x101122)))+P1(f329(f329(f331(f915(x101121,x101121)),f329(f329(f257(x101121,x101121),f681(x101122,x101123,x101124,x101125,x101121)),x101124)),x101122))
% 191.26/191.46 [7689]~E(x76893,f191(f916(x76892,a903)))+E(f329(f329(f115(f916(x76891,a903)),f329(f329(f40(x76892,f916(x76891,a903)),x76893),x76894)),x76895),x76895)
% 191.26/191.46 [7690]~E(x76903,f191(f916(x76902,a903)))+E(f329(f329(f106(f916(x76901,a903)),f329(f329(f41(x76902,f916(x76901,a903)),x76903),x76904)),x76905),x76905)
% 191.26/191.46 [8128]~E(x81283,f191(f916(x81282,a903)))+E(f329(f329(f23(f916(x81281,a903)),f329(f329(f41(x81282,f916(x81281,a903)),x81283),x81284)),x81285),f329(f329(f23(f916(x81281,a903)),f247(f916(x81281,a903))),x81285))
% 191.26/191.46 [8263]E(f329(f329(f162(x82631,f329(f329(f137(x82631),x82632),x82633)),x82634),x82635),f329(f329(f137(x82631),f329(f329(f162(x82631,x82632),x82634),x82635)),x82633))+~P1(f329(f329(f241(a908),x82634),f329(f192(f909(x82631)),x82632)))
% 191.26/191.46 [8537]E(f329(f329(f167(x85371),f329(f329(f157(a908,x85371),x85372),f142(a908,f329(f304(a908,x85373),x85374)))),x85375),f329(x85372,f329(f329(f82(a908),x85373),x85375)))+~P1(f329(f329(f241(a908),x85375),f329(f329(f23(a908),x85374),x85373)))
% 191.26/191.46 [8551]E(x85511,f2(a104))+E(f126(x85512,x85513,f329(x85514,f329(f329(f23(a104),x85511),f80(a104))),f329(f329(f7(x85512,a104,f910(f912(x85513))),x85515),x85511)),f329(f200(x85512,x85513,x85514,x85515),x85511))
% 191.26/191.46 [8578]~E(x85783,f191(f916(x85781,a903)))+E(f329(f329(f40(x85781,f916(x85782,a903)),x85783),f329(f329(f8(f916(x85782,a903),f916(x85782,a903),x85781),f329(f115(f916(x85782,a903)),x85784)),x85785)),f191(f916(x85782,a903)))
% 191.26/191.46 [8579]~E(x85793,f191(f916(x85791,a903)))+E(f329(f329(f41(x85791,f916(x85792,a903)),x85793),f329(f329(f8(f916(x85792,a903),f916(x85792,a903),x85791),f329(f23(f916(x85792,a903)),x85794)),x85795)),f247(f916(x85792,a903)))
% 191.26/191.46 [8580]~E(x85803,f191(f916(x85801,a903)))+E(f329(f329(f41(x85801,f916(x85802,a903)),x85803),f329(f329(f8(f916(x85802,a903),f916(x85802,a903),x85801),f329(f106(f916(x85802,a903)),x85804)),x85805)),f247(f916(x85802,a903)))
% 191.26/191.46 [8585]~P145(x85852)+E(f329(f329(f6(x85851,x85852),f329(f329(f8(x85852,x85852,x85851),f329(f83(x85852),x85853)),x85854)),x85855),f329(f329(f83(x85852),x85853),f329(f329(f6(x85851,x85852),x85854),x85855)))
% 191.26/191.46 [8868]E(x88681,f191(f916(x88682,a903)))+E(f329(f329(f40(x88682,f916(x88683,a903)),x88681),f329(f329(f8(f916(x88683,a903),f916(x88683,a903),x88682),f329(f115(f916(x88683,a903)),x88684)),x88685)),f329(f329(f115(f916(x88683,a903)),x88684),f329(f329(f40(x88682,f916(x88683,a903)),x88681),x88685)))
% 191.26/191.46 [8869]E(x88691,f191(f916(x88692,a903)))+E(f329(f329(f41(x88692,f916(x88693,a903)),x88691),f329(f329(f8(f916(x88693,a903),f916(x88693,a903),x88692),f329(f23(f916(x88693,a903)),x88694)),x88695)),f329(f329(f23(f916(x88693,a903)),x88694),f329(f329(f40(x88692,f916(x88693,a903)),x88691),x88695)))
% 191.26/191.46 [8870]E(x88701,f191(f916(x88702,a903)))+E(f329(f329(f41(x88702,f916(x88703,a903)),x88701),f329(f329(f8(f916(x88703,a903),f916(x88703,a903),x88702),f329(f106(f916(x88703,a903)),x88704)),x88705)),f329(f329(f106(f916(x88703,a903)),x88704),f329(f329(f41(x88702,f916(x88703,a903)),x88701),x88705)))
% 191.26/191.46 [9070]~P1(f329(f329(f241(a908),f329(x90704,x90702)),f329(x90704,x90703)))+P1(f329(f329(f331(f915(x90701,x90701)),f329(f329(f257(x90701,x90701),x90702),x90703)),f156(x90701,f329(f329(f154(f916(x90701,a908)),x90704),x90705))))
% 191.26/191.46 [9328]~P46(f916(x93285,a903),f916(x93281,a903),x93282)+P1(f329(f329(f240(f916(x93281,a903)),f329(f329(f115(f916(x93281,a903)),f329(x93282,x93283)),f329(x93282,x93284))),f329(x93282,f329(f329(f115(f916(x93285,a903)),x93283),x93284))))
% 191.26/191.46 [9345]~P30(x93452,x93451,x93453,f329(f329(f115(f916(x93452,a903)),x93454),x93455))+E(f329(f329(f106(f916(x93451,a903)),f329(f312(x93452,x93451,x93453),f329(f329(f23(f916(x93452,a903)),x93454),x93455))),f329(f312(x93452,x93451,x93453),f329(f329(f23(f916(x93452,a903)),x93455),x93454))),f191(f916(x93451,a903)))
% 191.26/191.46 [9595]~P30(x95953,x95951,x95955,f247(f916(x95953,a903)))+E(f329(f74(x95951,x95952,x95953,f329(f74(x95953,x95952,x95951,x95954),f94(x95953,x95951,f247(f916(x95953,a903)),x95955))),x95955),x95954)
% 191.26/191.46 [9627]~P1(f329(f329(f240(f916(x96273,a903)),f329(f288(x96271,x96273,x96274),x96272)),x96275))+P1(f329(f329(f240(f916(x96271,a903)),x96272),f329(f81(f916(x96271,a903)),f329(f288(x96273,x96271,f329(f289(x96271,x96273),x96274)),f329(f81(f916(x96273,a903)),x96275)))))
% 191.26/191.46 [9651]~P30(x96511,x96512,x96513,f329(f329(f311(x96511),x96514),x96515))+~P1(f329(f329(f331(x96512),f329(x96513,x96514)),f329(f312(x96511,x96512,x96513),f329(f329(f23(f916(x96511,a903)),x96515),f329(f329(f311(x96511),x96514),f191(f916(x96511,a903)))))))
% 191.26/191.46 [9703]P1(f329(f329(f240(f916(x97031,a903)),f329(f288(x97032,x97031,x97033),x97034)),x97035))+~P1(f329(f329(f240(f916(x97032,a903)),x97034),f329(f81(f916(x97032,a903)),f329(f288(x97031,x97032,f329(f289(x97032,x97031),x97033)),f329(f81(f916(x97031,a903)),x97035)))))
% 191.26/191.46 [9778]~P89(x97781)+P1(f329(f329(f240(x97781),f329(f77(x97781),f329(f329(f23(x97781),f329(f329(f82(x97781),x97782),x97783)),f329(f329(f82(x97781),x97784),x97785)))),f329(f329(f82(x97781),f329(f77(x97781),f329(f329(f23(x97781),x97782),x97784))),f329(f77(x97781),f329(f329(f23(x97781),x97783),x97785)))))
% 191.26/191.46 [9885]P1(f329(f329(f331(x98851),f477(x98852,x98853,x98854,x98851,x98855)),x98854))+P1(f329(f329(f240(f916(x98855,a903)),f329(f329(f40(x98851,f916(x98855,a903)),x98854),x98853)),x98852))
% 191.26/191.46 [10065]~P1(f329(f329(f240(f916(x100651,a903)),f329(x100654,f477(x100655,x100654,x100653,x100652,x100651))),x100655))+P1(f329(f329(f240(f916(x100651,a903)),f329(f329(f40(x100652,f916(x100651,a903)),x100653),x100654)),x100655))
% 191.26/191.46 [8696]E(f329(f329(f137(x86961),x86962),f329(f329(f162(x86961,x86963),f329(f329(f23(a908),x86964),f329(f192(f909(x86961)),x86962))),x86965)),f329(f329(f162(x86961,f329(f329(f137(x86961),x86962),x86963)),x86964),x86965))+P1(f329(f329(f241(a908),x86964),f329(f192(f909(x86961)),x86962)))
% 191.26/191.46 [8723]~P142(x87231)+E(f329(f329(f82(x87231),f329(f329(f83(x87231),x87232),x87233)),f329(f329(f82(x87231),f329(f329(f83(x87231),x87234),x87233)),x87235)),f329(f329(f82(x87231),f329(f329(f83(x87231),f329(f329(f82(x87231),x87232),x87234)),x87233)),x87235))
% 191.26/191.46 [9299]~P145(x92991)+E(f329(f168(x92991),f329(f329(f157(x92992,x92991),f329(f329(f8(x92991,x92991,x92992),f329(f83(x92991),x92993)),x92994)),x92995)),f329(f329(f83(x92991),x92993),f329(f168(x92991),f329(f329(f157(x92992,x92991),x92994),x92995))))
% 191.26/191.46 [9469]E(f329(f192(f909(x94691)),f329(f329(f178(x94691),f329(f329(f238(a908),f329(f192(f909(x94691)),x94692)),f329(f192(f909(x94693)),x94694))),x94692)),f329(f192(f909(x94693)),f329(f329(f178(x94693),f329(f329(f238(a908),f329(f192(f909(x94691)),x94692)),f329(f192(f909(x94693)),x94694))),x94694)))+P1(f329(x94695,f329(f329(f184(x94691,x94693),x94692),x94694)))
% 191.26/191.46 [9713]~P145(x97132)+E(f329(f329(f6(x97131,x97132),f329(f329(f7(x97131,x97132,x97132),f329(f329(f8(x97132,f916(x97132,x97132),x97131),f83(x97132)),x97133)),x97134)),x97135),f329(f329(f83(x97132),f329(f329(f6(x97131,x97132),x97133),x97135)),x97134))
% 191.26/191.46 [9714]~P72(x97142)+E(f329(f329(f6(x97141,x97142),f329(f329(f7(x97141,x97142,x97142),f329(f329(f8(x97142,f916(x97142,x97142),x97141),f292(x97142)),x97143)),x97144)),x97145),f329(f329(f292(x97142),f329(f329(f6(x97141,x97142),x97143),x97145)),x97144))
% 191.26/191.46 [9721]~P80(x97212)+E(f329(f329(f9(x97211,x97212),f329(f329(f18(x97211,x97212,x97212),f329(f329(f8(x97212,f916(x97212,x97212),x97211),f83(x97212)),x97213)),x97214)),x97215),f329(f329(f83(x97212),f329(f329(f9(x97211,x97212),x97213),x97215)),f329(f329(f9(x97211,x97212),x97214),x97215)))
% 191.26/191.46 [9722]~P5(x97222)+E(f329(f329(f6(x97221,x97222),f329(f329(f18(x97221,x97222,x97222),f329(f329(f8(x97222,f916(x97222,x97222),x97221),f82(x97222)),x97223)),x97224)),x97225),f329(f329(f82(x97222),f329(f329(f6(x97221,x97222),x97223),x97225)),f329(f329(f6(x97221,x97222),x97224),x97225)))
% 191.26/191.46 [9723]~P75(x97232)+E(f329(f329(f6(x97231,x97232),f329(f329(f18(x97231,x97232,x97232),f329(f329(f8(x97232,f916(x97232,x97232),x97231),f23(x97232)),x97233)),x97234)),x97235),f329(f329(f23(x97232),f329(f329(f6(x97231,x97232),x97233),x97235)),f329(f329(f6(x97231,x97232),x97234),x97235)))
% 191.26/191.46 [9763]~E(x97633,f191(f916(x97631,a903)))+E(f329(f329(f40(x97631,f916(x97632,a903)),x97633),f329(f329(f7(x97631,f916(x97632,a903),f916(x97632,a903)),f329(f329(f8(f916(x97632,a903),f916(f916(x97632,a903),f916(x97632,a903)),x97631),f115(f916(x97632,a903))),x97634)),x97635)),f191(f916(x97632,a903)))
% 191.26/191.46 [9764]~E(x97643,f191(f916(x97641,a903)))+E(f329(f329(f41(x97641,f916(x97642,a903)),x97643),f329(f329(f7(x97641,f916(x97642,a903),f916(x97642,a903)),f329(f329(f8(f916(x97642,a903),f916(f916(x97642,a903),f916(x97642,a903)),x97641),f23(f916(x97642,a903))),x97644)),x97645)),f247(f916(x97642,a903)))
% 191.26/191.46 [9765]~E(x97653,f191(f916(x97651,a903)))+E(f329(f329(f41(x97651,f916(x97652,a903)),x97653),f329(f329(f7(x97651,f916(x97652,a903),f916(x97652,a903)),f329(f329(f8(f916(x97652,a903),f916(f916(x97652,a903),f916(x97652,a903)),x97651),f106(f916(x97652,a903))),x97654)),x97655)),f247(f916(x97652,a903)))
% 191.26/191.46 [9786]E(x97861,f191(f916(x97862,a903)))+E(f329(f329(f40(x97862,f916(x97863,a903)),x97861),f329(f329(f7(x97862,f916(x97863,a903),f916(x97863,a903)),f329(f329(f8(f916(x97863,a903),f916(f916(x97863,a903),f916(x97863,a903)),x97862),f115(f916(x97863,a903))),x97864)),x97865)),f329(f329(f115(f916(x97863,a903)),f329(f329(f40(x97862,f916(x97863,a903)),x97861),x97864)),x97865))
% 191.26/191.46 [9787]E(x97871,f191(f916(x97872,a903)))+E(f329(f329(f41(x97872,f916(x97873,a903)),x97871),f329(f329(f7(x97872,f916(x97873,a903),f916(x97873,a903)),f329(f329(f8(f916(x97873,a903),f916(f916(x97873,a903),f916(x97873,a903)),x97872),f23(f916(x97873,a903))),x97874)),x97875)),f329(f329(f23(f916(x97873,a903)),f329(f329(f41(x97872,f916(x97873,a903)),x97871),x97874)),x97875))
% 191.26/191.46 [9788]E(x97881,f191(f916(x97882,a903)))+E(f329(f329(f41(x97882,f916(x97883,a903)),x97881),f329(f329(f7(x97882,f916(x97883,a903),f916(x97883,a903)),f329(f329(f8(f916(x97883,a903),f916(f916(x97883,a903),f916(x97883,a903)),x97882),f106(f916(x97883,a903))),x97884)),x97885)),f329(f329(f106(f916(x97883,a903)),f329(f329(f41(x97882,f916(x97883,a903)),x97881),x97884)),x97885))
% 191.26/191.46 [9350]~P1(f329(f329(f240(a908),x93501),x93504))+E(f329(f329(f23(a908),f329(f329(f82(a908),f329(f329(f83(a908),x93501),x93502)),x93503)),f329(f329(f82(a908),f329(f329(f83(a908),x93504),x93502)),x93505)),f329(f329(f23(a908),x93503),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x93504),x93501)),x93502)),x93505)))
% 191.26/191.46 [9937]~P145(x99371)+E(f329(f168(x99371),f329(f329(f157(x99372,x99371),f329(f329(f7(x99372,x99371,x99371),f329(f329(f8(x99371,f916(x99371,x99371),x99372),f83(x99371)),x99373)),x99374)),x99375)),f329(f329(f83(x99371),f329(f168(x99371),f329(f329(f157(x99372,x99371),x99373),x99375))),x99374))
% 191.26/191.46 [9943]~P5(x99431)+E(f329(f168(x99431),f329(f329(f157(x99432,x99431),f329(f329(f18(x99432,x99431,x99431),f329(f329(f8(x99431,f916(x99431,x99431),x99432),f82(x99431)),x99433)),x99434)),x99435)),f329(f329(f82(x99431),f329(f168(x99431),f329(f329(f157(x99432,x99431),x99433),x99435))),f329(f168(x99431),f329(f329(f157(x99432,x99431),x99434),x99435))))
% 191.26/191.46 [9944]~P75(x99441)+E(f329(f168(x99441),f329(f329(f157(x99442,x99441),f329(f329(f18(x99442,x99441,x99441),f329(f329(f8(x99441,f916(x99441,x99441),x99442),f23(x99441)),x99443)),x99444)),x99445)),f329(f329(f23(x99441),f329(f168(x99441),f329(f329(f157(x99442,x99441),x99443),x99445))),f329(f168(x99441),f329(f329(f157(x99442,x99441),x99444),x99445))))
% 191.26/191.46 [10078]P1(f329(x100781,f329(f329(f184(x100782,x100783),x100784),x100785)))+~P1(f329(x100781,f329(f329(f184(x100782,x100783),f329(f329(f178(x100782),f329(f329(f238(a908),f329(f192(f909(x100782)),x100784)),f329(f192(f909(x100783)),x100785))),x100784)),f329(f329(f178(x100783),f329(f329(f238(a908),f329(f192(f909(x100782)),x100784)),f329(f192(f909(x100783)),x100785))),x100785))))
% 191.26/191.46 [10331]~P1(f329(f329(f331(f915(x103312,x103311)),f329(f329(f257(x103312,x103311),x103314),x103315)),f329(f289(x103311,x103312),x103313)))+P1(f329(f329(f248(x103311,x103312,f329(f329(f7(x103311,f916(f915(x103311,x103312),a903),f916(x103312,a903)),f329(f329(f8(f916(x103312,f916(f916(f915(x103311,x103312),a903),a903)),f916(f916(f915(x103311,x103312),a903),f916(x103312,a903)),x103311),f7(x103312,f916(f915(x103311,x103312),a903),a903)),f329(f329(f8(f916(x103312,f915(x103311,x103312)),f916(x103312,f916(f916(f915(x103311,x103312),a903),a903)),x103311),f329(f8(f915(x103311,x103312),f916(f916(f915(x103311,x103312),a903),a903),x103312),f331(f915(x103311,x103312)))),f257(x103311,x103312)))),x103313)),x103314),x103315))
% 191.26/191.46 [10344]P1(f329(f329(f331(f915(x103441,x103442)),f329(f329(f257(x103441,x103442),x103443),x103444)),f329(f289(x103442,x103441),x103445)))+~P1(f329(f329(f248(x103442,x103441,f329(f329(f7(x103442,f916(f915(x103442,x103441),a903),f916(x103441,a903)),f329(f329(f8(f916(x103441,f916(f916(f915(x103442,x103441),a903),a903)),f916(f916(f915(x103442,x103441),a903),f916(x103441,a903)),x103442),f7(x103441,f916(f915(x103442,x103441),a903),a903)),f329(f329(f8(f916(x103441,f915(x103442,x103441)),f916(x103441,f916(f916(f915(x103442,x103441),a903),a903)),x103442),f329(f8(f915(x103442,x103441),f916(f916(f915(x103442,x103441),a903),a903),x103441),f331(f915(x103442,x103441)))),f257(x103442,x103441)))),x103445)),x103443),x103444))
% 191.26/191.46 [9594]~P1(f329(f329(f240(a908),x95944),x95941))+E(f329(f329(f23(a908),f329(f329(f82(a908),f329(f329(f83(a908),x95941),x95942)),x95943)),f329(f329(f82(a908),f329(f329(f83(a908),x95944),x95942)),x95945)),f329(f329(f23(a908),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x95941),x95944)),x95942)),x95943)),x95945))
% 191.26/191.46 [10353]P29(x103531,x103532,f329(f312(a906,f907(x103531),f329(f329(f18(a906,f916(x103531,f916(a905,a903)),f907(x103531)),f329(f329(f18(a906,a904,f916(f916(x103531,f916(a905,a903)),f907(x103531))),f329(f329(f8(f916(x103531,f916(a905,a903)),f916(a904,f916(f916(x103531,f916(a905,a903)),f907(x103531))),a906),f93(x103531)),x103533)),a26)),x103534)),x103535))+~P29(x103531,f329(f329(f115(f916(f907(x103531),a903)),x103532),f329(f312(a906,f907(x103531),f329(f329(f18(a906,f916(x103531,f916(a905,a903)),f907(x103531)),f329(f329(f18(a906,a904,f916(f916(x103531,f916(a905,a903)),f907(x103531))),f329(f329(f8(f916(x103531,f916(a905,a903)),f916(a904,f916(f916(x103531,f916(a905,a903)),f907(x103531))),a906),f93(x103531)),x103533)),a26)),x103534)),x103535)),f329(f312(a906,f907(x103531),f329(f329(f18(a906,f916(x103531,f916(a905,a903)),f907(x103531)),f329(f329(f18(a906,a904,f916(f916(x103531,f916(a905,a903)),f907(x103531))),f329(f329(f8(f916(x103531,f916(a905,a903)),f916(a904,f916(f916(x103531,f916(a905,a903)),f907(x103531))),a906),f93(x103531)),x103533)),f329(f329(f8(f912(a904),a904,a906),f236(a904)),a27))),x103534)),x103535))
% 191.26/191.46 [5367]E(x53671,x53672)+~E(f29(x53673,x53674,x53671),f29(x53675,x53676,x53672))
% 191.26/191.46 [5368]E(x53681,x53682)+~E(f29(x53683,x53681,x53684),f29(x53685,x53682,x53686))
% 191.26/191.46 [5369]E(x53691,x53692)+~E(f29(x53691,x53693,x53694),f29(x53692,x53695,x53696))
% 191.26/191.46 [5370]E(x53701,x53702)+~E(f28(x53703,x53704,x53701),f28(x53705,x53706,x53702))
% 191.26/191.46 [5371]E(x53711,x53712)+~E(f28(x53713,x53711,x53714),f28(x53715,x53712,x53716))
% 191.26/191.46 [5372]E(x53721,x53722)+~E(f28(x53721,x53723,x53724),f28(x53722,x53725,x53726))
% 191.26/191.46 [7376]E(x73761,x73762)+~E(f224(x73763,x73764,x73765,x73761),f224(x73763,x73764,x73766,x73762))
% 191.26/191.46 [7377]E(x73771,x73772)+~E(f224(x73773,x73774,x73771,x73775),f224(x73773,x73774,x73772,x73776))
% 191.26/191.46 [8520]~P24(x85205,x85201,x85202,x85206)+E(f329(f74(x85201,x85201,x85201,f329(x85202,x85203)),f329(x85202,x85204)),f329(f74(x85201,x85201,x85201,f329(x85202,x85204)),f329(x85202,x85203)))
% 191.26/191.46 [8764]~P64(x87644,x87645,x87642,x87641,x87646)+E(f329(x87641,f329(x87642,x87643)),x87643)
% 191.26/191.46 [8919]P30(x89191,x89192,x89193,x89194)+~P30(x89191,x89195,f329(f74(x89192,x89195,x89191,x89196),x89193),x89194)
% 191.26/191.46 [8988]~E(x89886,x89884)+E(f329(f76(x89881,x89882,x89883,x89884,x89885),x89886),x89885)
% 191.26/191.46 [8995]E(x89951,x89952)+E(f329(f76(x89953,x89954,x89955,x89952,x89956),x89951),f329(x89955,x89951))
% 191.26/191.46 [9007]~P30(x90074,x90072,f329(f74(x90071,x90072,x90074,x90073),x90075),x90076)+P30(x90071,x90072,x90073,f329(f312(x90074,x90071,x90075),x90076))
% 191.26/191.46 [9724]P1(f329(f62(x97241),x97242))+~P1(f329(f67(x97241,x97243,x97244,x97245,x97242),x97246))
% 191.26/191.46 [9733]~P1(f329(f329(f331(x97334),x97333),f302(x97334,x97335,x97331,x97332,x97336)))+P1(f329(f329(x97331,x97332),x97333))
% 191.26/191.46 [9734]~P1(f329(f329(f331(x97344),x97343),f299(x97344,x97341,x97345,x97342,x97346)))+P1(f329(f329(x97341,x97342),x97343))
% 191.26/191.46 [9735]~P1(f329(f329(f331(x97354),x97352),f302(x97354,x97351,x97355,x97356,x97353)))+P1(f329(f329(x97351,x97352),x97353))
% 191.26/191.46 [9736]~P1(f329(f329(f331(x97364),x97362),f299(x97364,x97365,x97361,x97366,x97363)))+P1(f329(f329(x97361,x97362),x97363))
% 191.26/191.46 [5875]E(x58751,x58752)+~E(f329(f329(f257(x58753,x58754),x58755),x58751),f329(f329(f257(x58753,x58754),x58756),x58752))
% 191.26/191.46 [5877]E(x58771,x58772)+~E(f329(f329(f257(x58773,x58774),x58771),x58775),f329(f329(f257(x58773,x58774),x58772),x58776))
% 191.26/191.46 [6010]~P21(x60105,x60106,x60101)+E(f329(f329(x60101,x60102),f329(f329(x60101,x60103),x60104)),f329(f329(x60101,x60103),f329(f329(x60101,x60102),x60104)))
% 191.26/191.46 [7444]~P38(x74444,x74441,f329(f329(f154(x74444),x74442),x74445),f329(f329(f154(x74444),x74443),x74446))+P1(f329(f329(x74441,x74442),x74443))
% 191.26/191.46 [7805]P38(x78051,x78052,x78053,x78054)+~P38(x78051,x78052,f329(f329(f154(x78051),x78055),x78053),f329(f329(f154(x78051),x78056),x78054))
% 191.26/191.46 [8859]~P64(x88595,x88591,x88592,x88596,x88594)+P1(f329(f329(f331(x88591),f329(x88592,x88593)),x88594))
% 191.26/191.46 [9036]E(f329(f78(x90361,x90362,x90363,x90364,x90365),x90366),f329(x90363,x90366))+P1(f329(f329(f331(x90361),x90366),x90365))
% 191.26/191.46 [9060]~E(x90603,f329(f329(f154(x90601),x90605),x90606))+P1(f329(f329(f331(f915(f909(x90601),f909(x90601))),f329(f329(f257(f909(x90601),f909(x90601)),x90602),f329(f329(f137(x90601),x90602),x90603))),f150(x90601,x90604)))
% 191.26/191.46 [9065]E(f329(f78(x90651,x90652,x90653,x90654,x90655),x90656),f329(x90654,x90656))+~P1(f329(f329(f331(x90651),x90656),x90655))
% 191.26/191.46 [9305]~P40(x93051,x93052,x93053,x93055,x93056)+P40(x93051,x93052,x93053,f329(f329(f178(x93051),x93054),x93055),f329(f329(f178(x93052),x93054),x93056))
% 191.26/191.46 [9306]~P40(x93061,x93062,x93063,x93065,x93066)+P40(x93061,x93062,x93063,f329(f329(f141(x93061),x93064),x93065),f329(f329(f141(x93062),x93064),x93066))
% 191.26/191.46 [9560]E(f329(f312(x95601,x95602,f76(x95601,x95602,x95603,x95604,x95605)),x95606),f329(f312(x95601,x95602,x95603),x95606))+P1(f329(f329(f331(x95601),x95604),x95606))
% 191.26/191.46 [9563]E(f329(f329(f157(x95631,x95632),f76(x95631,x95632,x95633,x95634,x95635)),x95636),f329(f329(f157(x95631,x95632),x95633),x95636))+P1(f329(f329(f331(x95631),x95634),f329(f175(x95631),x95636)))
% 191.26/191.46 [9798]~P28(x97984,x97982,x97985,x97983,x97986,x97981)+E(f329(x97981,f191(f916(x97982,a903))),x97983)
% 191.26/191.46 [10029]~E(f329(x100294,f329(f256(x100291,x100293),x100295)),f329(x100296,f329(f256(x100291,x100293),x100295)))+E(f329(f263(x100291,x100292,x100293,x100293,x100294,f33(x100293)),x100295),f329(f263(x100291,x100292,x100293,x100293,x100296,f33(x100293)),x100295))
% 191.26/191.46 [10030]~E(f329(x100304,f329(f261(x100301,x100302),x100305)),f329(x100306,f329(f261(x100301,x100302),x100305)))+E(f329(f263(x100301,x100301,x100302,x100303,f33(x100301),x100304),x100305),f329(f263(x100301,x100301,x100302,x100303,f33(x100301),x100306),x100305))
% 191.26/191.46 [10074]~E(f329(f263(x100742,x100746,x100743,x100743,x100741,f33(x100743)),x100744),f329(f263(x100742,x100746,x100743,x100743,x100745,f33(x100743)),x100744))+E(f329(x100741,f329(f256(x100742,x100743),x100744)),f329(x100745,f329(f256(x100742,x100743),x100744)))
% 191.26/191.46 [10075]~E(f329(f263(x100752,x100752,x100753,x100756,f33(x100752),x100751),x100754),f329(f263(x100752,x100752,x100753,x100756,f33(x100752),x100755),x100754))+E(f329(x100751,f329(f261(x100752,x100753),x100754)),f329(x100755,f329(f261(x100752,x100753),x100754)))
% 191.26/191.46 [8957]P1(f329(f329(f331(x89571),x89572),x89573))+~P1(f329(f329(f331(f915(x89571,x89574)),f329(f329(f257(x89571,x89574),x89572),x89575)),f329(f329(f259(x89571,x89574),x89573),x89576)))
% 191.26/191.46 [8971]P1(f329(f329(f331(x89711),x89712),f329(x89713,x89714)))+~P1(f329(f329(f331(f915(x89715,x89711)),f329(f329(f257(x89715,x89711),x89714),x89712)),f329(f329(f259(x89715,x89711),x89716),x89713)))
% 191.26/191.46 [9419]P1(f329(f329(f331(f915(x94191,x94191)),f329(f329(f257(x94191,x94191),f329(x94192,x94193)),f329(x94192,x94194))),x94195))+~P1(f329(f329(f331(f915(x94196,x94196)),f329(f329(f257(x94196,x94196),x94193),x94194)),f329(f329(f290(x94191,x94196),x94195),x94192)))
% 191.26/191.46 [9439]~P1(f329(f329(f331(f915(x94394,x94394)),f329(f329(f257(x94394,x94394),f329(x94396,x94392)),f329(x94396,x94393))),x94395))+P1(f329(f329(f331(f915(x94391,x94391)),f329(f329(f257(x94391,x94391),x94392),x94393)),f329(f329(f290(x94394,x94391),x94395),x94396)))
% 191.26/191.46 [10077]E(f329(f329(f257(x100771,x100772),f666(x100773,x100774,x100775,x100776,x100772,x100771)),f671(x100773,x100774,x100775,x100776,x100772,x100771)),x100776)+~P1(f329(f329(f331(f915(x100771,x100772)),x100776),f329(f329(f291(x100771,x100775,x100772),x100774),x100773)))
% 191.26/191.46 [10289]~P1(f329(f329(f331(f915(x102891,x102896)),x102895),f329(f329(f291(x102891,x102892,x102896),x102894),x102893)))+P1(f329(f329(f331(f915(x102891,x102892)),f329(f329(f257(x102891,x102892),f666(x102893,x102894,x102892,x102895,x102896,x102891)),f667(x102893,x102894,x102892,x102895,x102896,x102891))),x102894))
% 191.26/191.46 [10290]~P1(f329(f329(f331(f915(x102906,x102902)),x102905),f329(f329(f291(x102906,x102901,x102902),x102904),x102903)))+P1(f329(f329(f331(f915(x102901,x102902)),f329(f329(f257(x102901,x102902),f667(x102903,x102904,x102901,x102905,x102902,x102906)),f671(x102903,x102904,x102901,x102905,x102902,x102906))),x102903))
% 191.26/191.46 [7876]~P10(x78762)+E(f329(f329(f40(x78761,x78762),x78763),f329(f329(f7(x78761,x78764,x78762),x78765),x78766)),f329(f329(f329(f40(x78761,f916(x78764,x78762)),x78763),x78765),x78766))
% 191.26/191.46 [7877]~P10(x78772)+E(f329(f329(f41(x78771,x78772),x78773),f329(f329(f7(x78771,x78774,x78772),x78775),x78776)),f329(f329(f329(f41(x78771,f916(x78774,x78772)),x78773),x78775),x78776))
% 191.26/191.46 [8678]E(f329(f329(f40(x86781,f916(x86782,a903)),x86783),f329(f329(f8(f916(x86782,a903),f916(x86782,a903),x86781),f329(f311(x86782),x86784)),x86785)),f329(f329(f311(x86782),x86784),f329(f329(f40(x86781,f916(x86782,a903)),x86783),x86785)))+~P1(f329(f329(f331(x86781),x86786),x86783))
% 191.26/191.46 [9113]~P10(x91132)+E(f329(f329(f40(x91131,x91132),x91133),f329(f329(f8(f916(x91134,x91132),x91132,x91131),f329(f40(x91134,x91132),x91135)),f329(f7(x91134,x91131,x91132),x91136))),f329(f329(f40(x91134,x91132),x91135),f329(f329(f8(f916(x91131,x91132),x91132,x91134),f329(f40(x91131,x91132),x91133)),x91136)))
% 191.26/191.46 [9114]~P10(x91142)+E(f329(f329(f41(x91141,x91142),x91143),f329(f329(f8(f916(x91144,x91142),x91142,x91141),f329(f41(x91144,x91142),x91145)),f329(f7(x91144,x91141,x91142),x91146))),f329(f329(f41(x91144,x91142),x91145),f329(f329(f8(f916(x91141,x91142),x91142,x91144),f329(f41(x91141,x91142),x91143)),x91146)))
% 191.26/191.46 [9332]P1(f329(f329(f331(x93321),x93322),f329(f175(x93321),x93323)))+~P1(f329(f329(f331(f915(x93324,x93321)),f329(f329(f257(x93324,x93321),x93325),x93322)),f329(f175(f915(x93324,x93321)),f329(f329(f184(x93324,x93321),x93326),x93323))))
% 191.26/191.46 [9333]P1(f329(f329(f331(x93331),x93332),f329(f175(x93331),x93333)))+~P1(f329(f329(f331(f915(x93331,x93334)),f329(f329(f257(x93331,x93334),x93332),x93335)),f329(f175(f915(x93331,x93334)),f329(f329(f184(x93331,x93334),x93333),x93336))))
% 191.26/191.46 [9435]P1(f329(f329(f240(f916(x94351,a903)),f329(f288(x94352,x94351,x94353),x94354)),x94355))+~P1(f329(f329(f240(f916(f915(x94352,x94351),a903)),x94353),f329(f329(f259(x94352,x94351),x94356),f329(f16(f916(x94351,a903),x94352),x94355))))
% 191.26/191.46 [9630]P1(f329(f329(f331(f915(f909(x96301),f909(x96301))),f329(f329(f257(f909(x96301),f909(x96301)),f329(f329(f154(x96301),x96302),x96303)),f329(f329(f154(x96301),x96304),x96305))),f150(x96301,x96306)))+~P1(f329(f329(f331(f915(x96301,x96301)),f329(f329(f257(x96301,x96301),x96302),x96304)),x96306))
% 191.26/191.46 [10073]E(f329(f329(f257(x100731,x100732),f576(x100733,x100734,x100735,x100732,x100731,x100736)),f577(x100733,x100734,x100735,x100732,x100731,x100736)),x100736)+P1(f329(f329(f331(x100735),x100734),f329(f329(f262(x100731,x100732,f916(x100735,a903)),x100733),x100736)))
% 191.26/191.46 [10079]E(f329(f329(f257(x100791,x100792),f578(x100793,x100794,x100792,x100791,x100795,x100796)),f579(x100793,x100794,x100792,x100791,x100795,x100796)),x100793)+~P1(f329(f329(f331(x100796),x100795),f329(f329(f262(x100791,x100792,f916(x100796,a903)),x100794),x100793)))
% 191.26/191.46 [10240]P1(f329(f329(f331(x102401),x102402),f329(f329(x102403,f578(x102404,x102403,x102405,x102406,x102402,x102401)),f579(x102404,x102403,x102405,x102406,x102402,x102401))))+~P1(f329(f329(f331(x102401),x102402),f329(f329(f262(x102406,x102405,f916(x102401,a903)),x102403),x102404)))
% 191.26/191.46 [10264]~P1(f329(f329(f331(x102641),x102642),f329(f329(x102645,f576(x102645,x102642,x102641,x102644,x102643,x102646)),f577(x102645,x102642,x102641,x102644,x102643,x102646))))+P1(f329(f329(f331(x102641),x102642),f329(f329(f262(x102643,x102644,f916(x102641,a903)),x102645),x102646)))
% 191.26/191.46 [8568]E(x85681,x85682)+E(f329(f329(f162(x85683,f329(f329(f162(x85683,x85684),x85681),x85685)),x85682),x85686),f329(f329(f162(x85683,f329(f329(f162(x85683,x85684),x85682),x85686)),x85681),x85685))
% 191.26/191.46 [9688]~P1(f329(f329(f331(x96883),x96886),x96885))+E(f329(f329(f311(x96881),x96882),f329(f312(x96883,x96881,x96884),f329(f329(f23(f916(x96883,a903)),x96885),f329(f329(f311(x96883),x96886),f191(f916(x96883,a903)))))),f329(f312(x96883,x96881,f76(x96883,x96881,x96884,x96886,x96882)),x96885))
% 191.26/191.46 [9195]~P1(f329(f329(x91954,x91955),x91956))+P1(f329(f329(f329(f329(f115(f916(x91951,f916(x91952,a903))),x91953),x91954),x91955),x91956))
% 191.26/191.46 [9197]~P1(f329(f329(x91973,x91975),x91976))+P1(f329(f329(f329(f329(f115(f916(x91971,f916(x91972,a903))),x91973),x91974),x91975),x91976))
% 191.26/191.46 [9490]P1(f329(f329(x94901,x94902),x94903))+~P1(f329(f329(f329(f329(f106(f916(x94904,f916(x94905,a903))),x94906),x94901),x94902),x94903))
% 191.26/191.46 [9491]P1(f329(f329(x94911,x94912),x94913))+~P1(f329(f329(f329(f329(f106(f916(x94914,f916(x94915,a903))),x94911),x94916),x94912),x94913))
% 191.26/191.46 [9925]~P80(x99252)+E(f329(f329(f9(x99251,x99252),f329(f329(f7(x99251,f916(x99253,a903),x99252),f329(f329(f8(f916(x99253,x99252),f916(f916(x99253,a903),x99252),x99251),f9(x99253,x99252)),x99254)),x99255)),x99256),f329(f329(f9(f915(x99251,x99253),x99252),f329(f262(x99251,x99253,x99252),x99254)),f329(f329(f259(x99251,x99253),x99256),f329(f16(f916(x99253,a903),x99251),x99255))))
% 191.26/191.46 [9926]~P5(x99262)+E(f329(f329(f6(x99261,x99262),f329(f329(f7(x99261,f916(x99263,a903),x99262),f329(f329(f8(f916(x99263,x99262),f916(f916(x99263,a903),x99262),x99261),f6(x99263,x99262)),x99264)),x99265)),x99266),f329(f329(f6(f915(x99261,x99263),x99262),f329(f262(x99261,x99263,x99262),x99264)),f329(f329(f259(x99261,x99263),x99266),f329(f16(f916(x99263,a903),x99261),x99265))))
% 191.26/191.46 [10056]~P5(x100562)+E(f329(f329(f6(x100561,x100562),f329(f329(f7(x100561,f916(x100563,a903),x100562),f329(f329(f8(f916(x100563,x100562),f916(f916(x100563,a903),x100562),x100561),f6(x100563,x100562)),f329(f7(x100563,x100561,x100562),x100564))),x100565)),x100566),f329(f329(f6(x100563,x100562),f329(f329(f7(x100563,f916(x100561,a903),x100562),f329(f329(f8(f916(x100561,x100562),f916(f916(x100561,a903),x100562),x100563),f6(x100561,x100562)),x100564)),x100566)),x100565))
% 191.26/191.46 [10356]~P1(f329(f329(f331(f915(x103561,x103562)),f329(f329(f257(x103561,x103562),x103565),x103566)),f329(f329(f115(f916(f915(x103561,x103562),a903)),x103563),x103564)))+P1(f329(f329(f329(f329(f115(f916(x103561,f916(x103562,a903))),f329(f329(f7(x103561,f916(f915(x103561,x103562),a903),f916(x103562,a903)),f329(f329(f8(f916(x103562,f916(f916(f915(x103561,x103562),a903),a903)),f916(f916(f915(x103561,x103562),a903),f916(x103562,a903)),x103561),f7(x103562,f916(f915(x103561,x103562),a903),a903)),f329(f329(f8(f916(x103562,f915(x103561,x103562)),f916(x103562,f916(f916(f915(x103561,x103562),a903),a903)),x103561),f329(f8(f915(x103561,x103562),f916(f916(f915(x103561,x103562),a903),a903),x103562),f331(f915(x103561,x103562)))),f257(x103561,x103562)))),x103563)),f329(f329(f7(x103561,f916(f915(x103561,x103562),a903),f916(x103562,a903)),f329(f329(f8(f916(x103562,f916(f916(f915(x103561,x103562),a903),a903)),f916(f916(f915(x103561,x103562),a903),f916(x103562,a903)),x103561),f7(x103562,f916(f915(x103561,x103562),a903),a903)),f329(f329(f8(f916(x103562,f915(x103561,x103562)),f916(x103562,f916(f916(f915(x103561,x103562),a903),a903)),x103561),f329(f8(f915(x103561,x103562),f916(f916(f915(x103561,x103562),a903),a903),x103562),f331(f915(x103561,x103562)))),f257(x103561,x103562)))),x103564)),x103565),x103566))
% 191.26/191.46 [10357]~P1(f329(f329(f331(f915(x103571,x103572)),f329(f329(f257(x103571,x103572),x103575),x103576)),f329(f329(f106(f916(f915(x103571,x103572),a903)),x103573),x103574)))+P1(f329(f329(f329(f329(f106(f916(x103571,f916(x103572,a903))),f329(f329(f7(x103571,f916(f915(x103571,x103572),a903),f916(x103572,a903)),f329(f329(f8(f916(x103572,f916(f916(f915(x103571,x103572),a903),a903)),f916(f916(f915(x103571,x103572),a903),f916(x103572,a903)),x103571),f7(x103572,f916(f915(x103571,x103572),a903),a903)),f329(f329(f8(f916(x103572,f915(x103571,x103572)),f916(x103572,f916(f916(f915(x103571,x103572),a903),a903)),x103571),f329(f8(f915(x103571,x103572),f916(f916(f915(x103571,x103572),a903),a903),x103572),f331(f915(x103571,x103572)))),f257(x103571,x103572)))),x103573)),f329(f329(f7(x103571,f916(f915(x103571,x103572),a903),f916(x103572,a903)),f329(f329(f8(f916(x103572,f916(f916(f915(x103571,x103572),a903),a903)),f916(f916(f915(x103571,x103572),a903),f916(x103572,a903)),x103571),f7(x103572,f916(f915(x103571,x103572),a903),a903)),f329(f329(f8(f916(x103572,f915(x103571,x103572)),f916(x103572,f916(f916(f915(x103571,x103572),a903),a903)),x103571),f329(f8(f915(x103571,x103572),f916(f916(f915(x103571,x103572),a903),a903),x103572),f331(f915(x103571,x103572)))),f257(x103571,x103572)))),x103574)),x103575),x103576))
% 191.26/191.46 [10364]P1(f329(f329(f331(f915(x103641,x103642)),f329(f329(f257(x103641,x103642),x103643),x103644)),f329(f329(f115(f916(f915(x103641,x103642),a903)),x103645),x103646)))+~P1(f329(f329(f329(f329(f115(f916(x103641,f916(x103642,a903))),f329(f329(f7(x103641,f916(f915(x103641,x103642),a903),f916(x103642,a903)),f329(f329(f8(f916(x103642,f916(f916(f915(x103641,x103642),a903),a903)),f916(f916(f915(x103641,x103642),a903),f916(x103642,a903)),x103641),f7(x103642,f916(f915(x103641,x103642),a903),a903)),f329(f329(f8(f916(x103642,f915(x103641,x103642)),f916(x103642,f916(f916(f915(x103641,x103642),a903),a903)),x103641),f329(f8(f915(x103641,x103642),f916(f916(f915(x103641,x103642),a903),a903),x103642),f331(f915(x103641,x103642)))),f257(x103641,x103642)))),x103645)),f329(f329(f7(x103641,f916(f915(x103641,x103642),a903),f916(x103642,a903)),f329(f329(f8(f916(x103642,f916(f916(f915(x103641,x103642),a903),a903)),f916(f916(f915(x103641,x103642),a903),f916(x103642,a903)),x103641),f7(x103642,f916(f915(x103641,x103642),a903),a903)),f329(f329(f8(f916(x103642,f915(x103641,x103642)),f916(x103642,f916(f916(f915(x103641,x103642),a903),a903)),x103641),f329(f8(f915(x103641,x103642),f916(f916(f915(x103641,x103642),a903),a903),x103642),f331(f915(x103641,x103642)))),f257(x103641,x103642)))),x103646)),x103643),x103644))
% 191.26/191.46 [10365]P1(f329(f329(f331(f915(x103651,x103652)),f329(f329(f257(x103651,x103652),x103653),x103654)),f329(f329(f106(f916(f915(x103651,x103652),a903)),x103655),x103656)))+~P1(f329(f329(f329(f329(f106(f916(x103651,f916(x103652,a903))),f329(f329(f7(x103651,f916(f915(x103651,x103652),a903),f916(x103652,a903)),f329(f329(f8(f916(x103652,f916(f916(f915(x103651,x103652),a903),a903)),f916(f916(f915(x103651,x103652),a903),f916(x103652,a903)),x103651),f7(x103652,f916(f915(x103651,x103652),a903),a903)),f329(f329(f8(f916(x103652,f915(x103651,x103652)),f916(x103652,f916(f916(f915(x103651,x103652),a903),a903)),x103651),f329(f8(f915(x103651,x103652),f916(f916(f915(x103651,x103652),a903),a903),x103652),f331(f915(x103651,x103652)))),f257(x103651,x103652)))),x103655)),f329(f329(f7(x103651,f916(f915(x103651,x103652),a903),f916(x103652,a903)),f329(f329(f8(f916(x103652,f916(f916(f915(x103651,x103652),a903),a903)),f916(f916(f915(x103651,x103652),a903),f916(x103652,a903)),x103651),f7(x103652,f916(f915(x103651,x103652),a903),a903)),f329(f329(f8(f916(x103652,f915(x103651,x103652)),f916(x103652,f916(f916(f915(x103651,x103652),a903),a903)),x103651),f329(f8(f915(x103651,x103652),f916(f916(f915(x103651,x103652),a903),a903),x103652),f331(f915(x103651,x103652)))),f257(x103651,x103652)))),x103656)),x103653),x103654))
% 191.26/191.46 [10351]~P1(f329(f329(f331(f915(x103512,x103513)),f329(f329(f257(x103512,x103513),x103515),x103516)),f329(f329(f40(x103511,f916(f915(x103512,x103513),a903)),f247(f916(x103511,a903))),x103514)))+P1(f329(f329(f329(f329(f40(x103511,f916(x103512,f916(x103513,a903))),f247(f916(x103511,a903))),f329(f329(f8(f916(f915(x103512,x103513),a903),f916(x103512,f916(x103513,a903)),x103511),f329(f7(x103512,f916(f915(x103512,x103513),a903),f916(x103513,a903)),f329(f329(f8(f916(x103513,f916(f916(f915(x103512,x103513),a903),a903)),f916(f916(f915(x103512,x103513),a903),f916(x103513,a903)),x103512),f7(x103513,f916(f915(x103512,x103513),a903),a903)),f329(f329(f8(f916(x103513,f915(x103512,x103513)),f916(x103513,f916(f916(f915(x103512,x103513),a903),a903)),x103512),f329(f8(f915(x103512,x103513),f916(f916(f915(x103512,x103513),a903),a903),x103513),f331(f915(x103512,x103513)))),f257(x103512,x103513))))),x103514)),x103515),x103516))
% 191.26/191.46 [10352]~P1(f329(f329(f331(f915(x103522,x103523)),f329(f329(f257(x103522,x103523),x103525),x103526)),f329(f329(f41(x103521,f916(f915(x103522,x103523),a903)),f247(f916(x103521,a903))),x103524)))+P1(f329(f329(f329(f329(f41(x103521,f916(x103522,f916(x103523,a903))),f247(f916(x103521,a903))),f329(f329(f8(f916(f915(x103522,x103523),a903),f916(x103522,f916(x103523,a903)),x103521),f329(f7(x103522,f916(f915(x103522,x103523),a903),f916(x103523,a903)),f329(f329(f8(f916(x103523,f916(f916(f915(x103522,x103523),a903),a903)),f916(f916(f915(x103522,x103523),a903),f916(x103523,a903)),x103522),f7(x103523,f916(f915(x103522,x103523),a903),a903)),f329(f329(f8(f916(x103523,f915(x103522,x103523)),f916(x103523,f916(f916(f915(x103522,x103523),a903),a903)),x103522),f329(f8(f915(x103522,x103523),f916(f916(f915(x103522,x103523),a903),a903),x103523),f331(f915(x103522,x103523)))),f257(x103522,x103523))))),x103524)),x103525),x103526))
% 191.26/191.46 [10361]P1(f329(f329(f331(f915(x103611,x103612)),f329(f329(f257(x103611,x103612),x103613),x103614)),f329(f329(f40(x103615,f916(f915(x103611,x103612),a903)),f247(f916(x103615,a903))),x103616)))+~P1(f329(f329(f329(f329(f40(x103615,f916(x103611,f916(x103612,a903))),f247(f916(x103615,a903))),f329(f329(f8(f916(f915(x103611,x103612),a903),f916(x103611,f916(x103612,a903)),x103615),f329(f7(x103611,f916(f915(x103611,x103612),a903),f916(x103612,a903)),f329(f329(f8(f916(x103612,f916(f916(f915(x103611,x103612),a903),a903)),f916(f916(f915(x103611,x103612),a903),f916(x103612,a903)),x103611),f7(x103612,f916(f915(x103611,x103612),a903),a903)),f329(f329(f8(f916(x103612,f915(x103611,x103612)),f916(x103612,f916(f916(f915(x103611,x103612),a903),a903)),x103611),f329(f8(f915(x103611,x103612),f916(f916(f915(x103611,x103612),a903),a903),x103612),f331(f915(x103611,x103612)))),f257(x103611,x103612))))),x103616)),x103613),x103614))
% 191.26/191.46 [10362]P1(f329(f329(f331(f915(x103621,x103622)),f329(f329(f257(x103621,x103622),x103623),x103624)),f329(f329(f41(x103625,f916(f915(x103621,x103622),a903)),f247(f916(x103625,a903))),x103626)))+~P1(f329(f329(f329(f329(f41(x103625,f916(x103621,f916(x103622,a903))),f247(f916(x103625,a903))),f329(f329(f8(f916(f915(x103621,x103622),a903),f916(x103621,f916(x103622,a903)),x103625),f329(f7(x103621,f916(f915(x103621,x103622),a903),f916(x103622,a903)),f329(f329(f8(f916(x103622,f916(f916(f915(x103621,x103622),a903),a903)),f916(f916(f915(x103621,x103622),a903),f916(x103622,a903)),x103621),f7(x103622,f916(f915(x103621,x103622),a903),a903)),f329(f329(f8(f916(x103622,f915(x103621,x103622)),f916(x103622,f916(f916(f915(x103621,x103622),a903),a903)),x103621),f329(f8(f915(x103621,x103622),f916(f916(f915(x103621,x103622),a903),a903),x103622),f331(f915(x103621,x103622)))),f257(x103621,x103622))))),x103626)),x103623),x103624))
% 191.26/191.46 [7552]E(f329(x75521,f329(x75522,x75523)),f329(x75524,x75523))+~E(f329(f74(x75525,x75526,x75527,x75521),x75522),x75524)
% 191.26/191.46 [9704]E(x97041,x97042)+E(f76(x97043,x97044,f76(x97043,x97044,x97045,x97041,x97046),x97042,x97047),f76(x97043,x97044,f76(x97043,x97044,x97045,x97042,x97047),x97041,x97046))
% 191.26/191.46 [9797]~P27(x97973,x97974,x97971,x97975,x97976,x97977)+E(f329(f329(x97971,x97972),x97972),x97972)
% 191.26/191.46 [6114]~E(f329(f329(f157(x61141,x61145),x61146),x61142),f329(f329(f157(x61143,x61145),x61147),x61144))+E(f329(f192(f909(x61141)),x61142),f329(f192(f909(x61143)),x61144))
% 191.26/191.46 [8607]E(f329(x86071,f329(x86072,x86073)),f329(x86074,x86073))+~E(f329(f74(x86075,x86076,x86077,x86071),x86072),f329(f74(x86076,x86076,x86077,f33(x86076)),x86074))
% 191.26/191.46 [8946]~P40(x89464,x89465,x89461,f329(f329(f154(x89464),x89462),x89466),f329(f329(f154(x89465),x89463),x89467))+P1(f329(f329(x89461,x89462),x89463))
% 191.26/191.46 [9339]P40(x93391,x93392,x93393,x93394,x93395)+~P40(x93391,x93392,x93393,f329(f329(f154(x93391),x93396),x93394),f329(f329(f154(x93392),x93397),x93395))
% 191.26/191.46 [9959]P1(f329(f329(x99591,x99592),f549(x99593,x99592,x99594,x99591)))+~P1(f329(f329(f258(x99595,x99596,x99597,x99591,x99594),x99592),x99593))
% 191.26/191.46 [9981]P1(f329(f329(x99811,f549(x99812,x99813,x99811,x99814)),x99812))+~P1(f329(f329(f258(x99815,x99816,x99817,x99814,x99811),x99813),x99812))
% 191.26/191.46 [6160]E(x61601,x61602)+~E(f329(f329(f329(f93(x61603),x61604),x61605),x61601),f329(f329(f329(f93(x61603),x61606),x61607),x61602))
% 191.26/191.46 [6161]E(x61611,x61612)+~E(f329(f329(f329(f93(x61613),x61614),x61611),x61615),f329(f329(f329(f93(x61613),x61616),x61612),x61617))
% 191.26/191.46 [6162]E(x61621,x61622)+~E(f329(f329(f329(f93(x61623),x61621),x61624),x61625),f329(f329(f329(f93(x61623),x61622),x61626),x61627))
% 191.26/191.46 [9068]~P25(x90686,x90681,x90683,x90687)+E(f329(f74(x90681,x90681,x90682,f329(x90683,x90684)),f329(f74(x90681,x90681,x90682,f329(x90683,x90684)),x90685)),f329(f74(x90681,x90681,x90682,f329(x90683,x90684)),x90685))
% 191.26/191.46 [9442]~P40(x94423,x94422,x94424,f329(f329(f157(x94421,x94423),x94425),x94426),x94427)+P40(x94421,x94422,f329(f329(f8(x94423,f916(x94422,a903),x94421),x94424),x94425),x94426,x94427)
% 191.26/191.46 [9466]P40(x94661,x94662,x94663,f329(f329(f157(x94664,x94661),x94665),x94666),x94667)+~P40(x94664,x94662,f329(f329(f8(x94661,f916(x94662,a903),x94664),x94663),x94665),x94666,x94667)
% 191.26/191.46 [9067]~P1(f329(f329(f331(x90671),x90672),f329(f329(x90675,x90676),x90677)))+P1(f329(f329(f331(x90671),x90672),f329(f329(f262(x90673,x90674,f916(x90671,a903)),x90675),f329(f329(f257(x90673,x90674),x90676),x90677))))
% 191.26/191.46 [9361]P1(f329(f329(f329(x93611,x93612),x93613),x93614))+~P1(f329(f329(f329(f262(x93615,x93616,f916(x93617,a903)),x93611),f329(f329(f257(x93615,x93616),x93612),x93613)),x93614))
% 191.26/191.46 [9504]P1(f329(f329(f331(x95041),f329(f329(x95042,x95043),x95044)),f329(f312(f915(x95045,x95046),x95041,f329(f262(x95045,x95046,x95041),x95042)),x95047)))+~P1(f329(f329(f331(f915(x95045,x95046)),f329(f329(f257(x95045,x95046),x95043),x95044)),x95047))
% 191.26/191.46 [9845]P1(f329(f329(f331(f915(f909(x98451),f909(x98451))),f329(f329(f257(f909(x98451),f909(x98451)),f329(f329(f137(x98451),x98452),f329(f329(f154(x98451),x98453),x98454))),f329(f329(f137(x98451),x98452),f329(f329(f154(x98451),x98455),x98456)))),f150(x98451,x98457)))+~P1(f329(f329(f331(f915(x98451,x98451)),f329(f329(f257(x98451,x98451),x98453),x98455)),x98457))
% 191.26/191.46 [9909]~P40(x99091,x99093,x99094,x99096,f329(f329(f157(x99092,x99093),x99095),x99097))+P40(x99091,x99092,f329(f329(f7(x99091,f916(x99092,x99093),f916(x99092,a903)),f329(f329(f8(f916(x99093,a903),f916(f916(x99092,x99093),f916(x99092,a903)),x99091),f8(x99093,a903,x99092)),x99094)),x99095),x99096,x99097)
% 191.26/191.46 [9985]P40(x99851,x99852,x99853,x99854,f329(f329(f157(x99855,x99852),x99856),x99857))+~P40(x99851,x99855,f329(f329(f7(x99851,f916(x99855,x99852),f916(x99855,a903)),f329(f329(f8(f916(x99852,a903),f916(f916(x99855,x99852),f916(x99855,a903)),x99851),f8(x99852,a903,x99855)),x99853)),x99856),x99854,x99857)
% 191.26/191.46 [10276]P1(f329(f329(f331(x102761),f636(x102762,x102763,x102764,x102765,x102766,x102767,x102761)),x102765))+P1(f329(f329(f329(f329(f41(x102761,f916(x102767,f916(x102766,a903))),x102765),x102764),x102763),x102762))
% 191.26/191.46 [10277]P1(f329(f329(f331(x102771),f811(x102772,x102773,x102774,x102775,x102776,x102777,x102771)),x102777))+P1(f329(f329(f329(f329(f41(x102771,f916(x102773,f916(x102772,a903))),x102777),x102776),x102775),x102774))
% 191.26/191.46 [10278]P1(f329(f329(f331(x102781),f484(x102782,x102783,x102784,x102785,x102786,x102787,x102781)),x102785))+~P1(f329(f329(f329(f329(f40(x102781,f916(x102787,f916(x102786,a903))),x102785),x102784),x102783),x102782))
% 191.26/191.46 [10279]P1(f329(f329(f331(x102791),f812(x102792,x102793,x102794,x102795,x102796,x102797,x102791)),x102795))+~P1(f329(f329(f329(f329(f40(x102791,f916(x102797,f916(x102796,a903))),x102795),x102794),x102793),x102792))
% 191.26/191.46 [10311]P1(f329(f329(f329(x103111,f484(x103112,x103113,x103111,x103114,x103115,x103116,x103117)),x103113),x103112))+~P1(f329(f329(f329(f329(f40(x103117,f916(x103116,f916(x103115,a903))),x103114),x103111),x103113),x103112))
% 191.26/191.46 [10312]P1(f329(f329(f329(x103121,f812(x103122,x103123,x103121,x103124,x103125,x103126,x103127)),x103123),x103122))+~P1(f329(f329(f329(f329(f40(x103127,f916(x103126,f916(x103125,a903))),x103124),x103121),x103123),x103122))
% 191.26/191.46 [10328]~P1(f329(f329(f329(x103285,f636(x103287,x103286,x103285,x103284,x103283,x103282,x103281)),x103286),x103287))+P1(f329(f329(f329(f329(f41(x103281,f916(x103282,f916(x103283,a903))),x103284),x103285),x103286),x103287))
% 191.26/191.46 [10329]~P1(f329(f329(f329(x103295,f811(x103293,x103292,x103297,x103296,x103295,x103294,x103291)),x103296),x103297))+P1(f329(f329(f329(f329(f41(x103291,f916(x103292,f916(x103293,a903))),x103294),x103295),x103296),x103297))
% 191.26/191.46 [10350]~P1(f329(f329(f331(f915(x103501,x103503)),f329(f329(f257(x103501,x103503),x103506),x103507)),f329(f329(f291(x103501,x103502,x103503),x103504),x103505)))+P1(f329(f329(f258(x103501,x103502,x103503,f329(f329(f7(x103501,f916(f915(x103501,x103502),a903),f916(x103502,a903)),f329(f329(f8(f916(x103502,f916(f916(f915(x103501,x103502),a903),a903)),f916(f916(f915(x103501,x103502),a903),f916(x103502,a903)),x103501),f7(x103502,f916(f915(x103501,x103502),a903),a903)),f329(f329(f8(f916(x103502,f915(x103501,x103502)),f916(x103502,f916(f916(f915(x103501,x103502),a903),a903)),x103501),f329(f8(f915(x103501,x103502),f916(f916(f915(x103501,x103502),a903),a903),x103502),f331(f915(x103501,x103502)))),f257(x103501,x103502)))),x103504),f329(f329(f7(x103502,f916(f915(x103502,x103503),a903),f916(x103503,a903)),f329(f329(f8(f916(x103503,f916(f916(f915(x103502,x103503),a903),a903)),f916(f916(f915(x103502,x103503),a903),f916(x103503,a903)),x103502),f7(x103503,f916(f915(x103502,x103503),a903),a903)),f329(f329(f8(f916(x103503,f915(x103502,x103503)),f916(x103503,f916(f916(f915(x103502,x103503),a903),a903)),x103502),f329(f8(f915(x103502,x103503),f916(f916(f915(x103502,x103503),a903),a903),x103503),f331(f915(x103502,x103503)))),f257(x103502,x103503)))),x103505)),x103506),x103507))
% 191.26/191.46 [10360]P1(f329(f329(f331(f915(x103601,x103602)),f329(f329(f257(x103601,x103602),x103603),x103604)),f329(f329(f291(x103601,x103605,x103602),x103606),x103607)))+~P1(f329(f329(f258(x103601,x103605,x103602,f329(f329(f7(x103601,f916(f915(x103601,x103605),a903),f916(x103605,a903)),f329(f329(f8(f916(x103605,f916(f916(f915(x103601,x103605),a903),a903)),f916(f916(f915(x103601,x103605),a903),f916(x103605,a903)),x103601),f7(x103605,f916(f915(x103601,x103605),a903),a903)),f329(f329(f8(f916(x103605,f915(x103601,x103605)),f916(x103605,f916(f916(f915(x103601,x103605),a903),a903)),x103601),f329(f8(f915(x103601,x103605),f916(f916(f915(x103601,x103605),a903),a903),x103605),f331(f915(x103601,x103605)))),f257(x103601,x103605)))),x103606),f329(f329(f7(x103605,f916(f915(x103605,x103602),a903),f916(x103602,a903)),f329(f329(f8(f916(x103602,f916(f916(f915(x103605,x103602),a903),a903)),f916(f916(f915(x103605,x103602),a903),f916(x103602,a903)),x103605),f7(x103602,f916(f915(x103605,x103602),a903),a903)),f329(f329(f8(f916(x103602,f915(x103605,x103602)),f916(x103602,f916(f916(f915(x103605,x103602),a903),a903)),x103605),f329(f8(f915(x103605,x103602),f916(f916(f915(x103605,x103602),a903),a903),x103602),f331(f915(x103605,x103602)))),f257(x103605,x103602)))),x103607)),x103603),x103604))
% 191.26/191.46 [10288]~P145(x102882)+E(f329(f329(f6(x102881,x102882),f329(f329(f7(x102881,f916(x102883,a903),x102882),f329(f329(f8(f916(x102883,x102882),f916(f916(x102883,a903),x102882),x102881),f6(x102883,x102882)),f329(f329(f7(x102881,f916(x102883,x102882),f916(x102883,x102882)),f329(f329(f8(f916(x102882,x102882),f916(f916(x102883,x102882),f916(x102883,x102882)),x102881),f8(x102882,x102882,x102883)),f329(f329(f8(x102882,f916(x102882,x102882),x102881),f83(x102882)),x102884))),x102885))),x102886)),x102887),f329(f329(f83(x102882),f329(f329(f6(x102881,x102882),x102884),x102887)),f329(f329(f6(x102883,x102882),x102885),x102886)))
% 191.26/191.46 [9393]~P24(x93937,x93931,x93933,x93938)+E(f329(f74(x93931,x93931,x93932,f329(x93933,x93934)),f329(f74(x93931,x93931,x93932,f329(x93933,x93935)),x93936)),f329(f74(x93931,x93931,x93932,f329(x93933,x93935)),f329(f74(x93931,x93931,x93932,f329(x93933,x93934)),x93936)))
% 191.26/191.46 [10354]E(f329(f329(f257(x103541,x103542),f329(x103543,f520(x103544,x103545,x103543,x103546,x103547,x103548,x103542,x103541))),f329(x103545,f521(x103544,x103545,x103543,x103546,x103547,x103548,x103542,x103541))),x103548)+~P1(f329(f329(f331(f915(x103541,x103542)),x103548),f329(f312(f915(x103547,x103546),f915(x103541,x103542),f263(x103547,x103541,x103546,x103542,x103543,x103545)),x103544)))
% 191.26/191.46 [10369]~P1(f329(f329(f331(f915(x103698,x103697)),x103696),f329(f312(f915(x103691,x103692),f915(x103698,x103697),f263(x103691,x103698,x103692,x103697,x103695,x103694)),x103693)))+P1(f329(f329(f331(f915(x103691,x103692)),f329(f329(f257(x103691,x103692),f520(x103693,x103694,x103695,x103692,x103691,x103696,x103697,x103698)),f521(x103693,x103694,x103695,x103692,x103691,x103696,x103697,x103698))),x103693))
% 191.26/191.46 [9834]P1(f329(f329(f331(f915(f915(x98341,x98342),f915(x98341,x98342))),f329(f329(f257(f915(x98341,x98342),f915(x98341,x98342)),f329(f329(f257(x98341,x98342),x98343),x98344)),f329(f329(f257(x98341,x98342),x98345),x98346))),f321(x98341,x98342,x98347,x98348)))+~P1(f329(f329(f331(f915(x98341,x98341)),f329(f329(f257(x98341,x98341),x98343),x98345)),x98347))
% 191.26/191.46 [10343]E(f329(f145(x103431,x103432,f329(f7(x103432,x103431,x103431),x103433),f329(x103434,x103435)),x103436),f329(x103434,f329(f145(x103437,x103432,f329(f7(x103432,x103437,x103437),x103438),x103435),x103436)))+P1(f329(f329(f331(x103432),f758(x103435,x103438,x103434,x103433,x103437,x103431,x103436,x103432)),f329(f175(x103432),x103436)))
% 191.26/191.46 [10363]~E(f329(f74(x103631,x103631,x103637,f329(x103633,f758(x103635,x103638,x103634,x103633,x103637,x103631,x103636,x103632))),x103634),f329(f74(x103637,x103631,x103637,x103634),f329(x103638,f758(x103635,x103638,x103634,x103633,x103637,x103631,x103636,x103632))))+E(f329(f145(x103631,x103632,f329(f7(x103632,x103631,x103631),x103633),f329(x103634,x103635)),x103636),f329(x103634,f329(f145(x103637,x103632,f329(f7(x103632,x103637,x103637),x103638),x103635),x103636)))
% 191.26/191.46 [8612]E(f329(x86121,f329(x86122,x86123)),f329(x86124,f329(x86125,x86123)))+~E(f329(f74(x86126,x86127,x86128,x86121),x86122),f329(f74(x86129,x86127,x86128,x86124),x86125))
% 191.26/191.46 [10203]P1(f329(f329(f331(f915(x102031,x102032)),f329(f329(f257(x102031,x102032),f329(x102033,x102034)),f329(x102035,x102036))),f329(f312(f915(x102037,x102038),f915(x102031,x102032),f263(x102037,x102031,x102038,x102032,x102033,x102035)),x102039)))+~P1(f329(f329(f331(f915(x102037,x102038)),f329(f329(f257(x102037,x102038),x102034),x102036)),x102039))
% 191.26/191.46 [8893]~E(f329(x88934,f329(x88935,x88936)),f329(x88939,f329(x889310,x889311)))+E(f329(f329(f74(x88931,x88932,x88933,x88934),x88935),x88936),f329(f329(f74(x88937,x88932,x88938,x88939),x889310),x889311))
% 191.26/191.46 [4682]~P112(x46821)+~P104(x46821)+E(f106(x46821),f238(x46821))
% 191.26/191.46 [4683]~P103(x46831)+~P112(x46831)+E(f115(x46831),f239(x46831))
% 191.26/191.46 [4933]~P121(x49331)+~P97(x49331)+E(f329(f77(x49331),f329(f108(x49331),a102)),f80(x49331))
% 191.26/191.46 [5223]E(x52231,f2(a1))+E(f84(a1,x52231),f329(f81(a1),f80(a1)))+P1(f329(f329(f241(a1),f2(a1)),x52231))
% 191.26/191.46 [5434]E(x54341,f2(a1))+E(f84(a1,x54341),f80(a1))+~P1(f329(f329(f241(a1),f2(a1)),x54341))
% 191.26/191.46 [7448]~P47(x74481)+P1(f329(f62(a1),x74481))+~P1(f329(f62(a908),f329(f312(a1,a908,a109),x74481)))
% 191.26/191.46 [9796]E(x97961,f191(f916(f915(a908,a908),a903)))+~P1(f329(f62(f915(a908,a908)),x97961))+P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),f191(f916(f915(a908,a908),a903))),x97961)),a35))
% 191.26/191.46 [9960]E(x99601,f2(a908))+E(x99601,f329(a117,f2(a908)))+~P1(f329(f329(f241(a908),x99601),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.46 [10235]E(x102351,f2(a104))+E(f329(f329(f82(a1),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a22,f329(f329(f37(a104),x102351),f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))),f80(a1)),f329(a22,x102351))+E(f46(a104,x102351,f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(a104))
% 191.26/191.46 [10083]E(x100831,f2(a104))+~E(f46(a104,x100831,f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(a104))+E(f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(a22,f329(f329(f37(a104),x100831),f329(f108(a104),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f329(a22,x100831))
% 191.26/191.46 [4764]~P65(x47641,x47642)+P51(x47641,x47642)+~P52(a903)
% 191.26/191.46 [4692]~P109(x46921)+P35(x46921,x46922)+~E(x46922,f2(x46921))
% 191.26/191.46 [4693]~P112(x46931)+P18(x46931,x46932)+~E(x46932,f118(x46931))
% 191.26/191.46 [4702]~P121(x47021)+~E(x47022,f2(x47021))+E(f84(x47021,x47022),f2(x47021))
% 191.26/191.46 [4703]~P93(x47031)+~E(x47032,f2(x47031))+E(f84(x47031,x47032),f2(x47031))
% 191.26/191.46 [4711]~P109(x47112)+~P35(x47112,x47111)+E(x47111,f2(x47112))
% 191.26/191.46 [4756]~P121(x47562)+~E(f84(x47562,x47561),f2(x47562))+E(x47561,f2(x47562))
% 191.26/191.46 [4771]~P9(x47712)+~P9(x47711)+P9(f916(x47711,x47712))
% 191.26/191.46 [4772]~P9(x47722)+~P9(x47721)+P9(f914(x47721,x47722))
% 191.26/191.46 [4773]~P9(x47732)+~P9(x47731)+P9(f915(x47731,x47732))
% 191.26/191.46 [4774]~P11(x47742)+~P11(x47741)+P11(f198(x47741,x47742))
% 191.26/191.46 [4775]~P70(x47752)+~P70(x47751)+P70(f916(x47751,x47752))
% 191.26/191.46 [4776]~P70(x47762)+~P70(x47761)+P70(f914(x47761,x47762))
% 191.26/191.46 [4777]~P70(x47772)+~P70(x47771)+P70(f915(x47771,x47772))
% 191.26/191.46 [4778]~P107(x47782)+~P107(x47781)+P107(f915(x47781,x47782))
% 191.26/191.46 [4905]~P112(x49051)+~P18(x49051,x49052)+P18(x49051,f155(x49051,x49052))
% 191.26/191.46 [5148]~P11(x51482)+~P11(x51481)+P11(f46(a1,x51481,x51482))
% 191.26/191.46 [4713]~P78(x47131)+~E(x47132,f2(x47131))+E(f329(f81(x47131),x47132),x47132)
% 191.26/191.46 [4728]~P95(x47281)+~E(x47282,f2(a1))+E(f329(f107(x47281),x47282),f2(x47281))
% 191.26/191.46 [4729]~P120(x47291)+~E(x47292,f2(a1))+E(f329(f107(x47291),x47292),f2(x47291))
% 191.26/191.46 [4753]~P79(x47531)+~E(f2(x47531),x47532)+E(f329(f81(x47531),x47532),f2(x47531))
% 191.26/191.46 [4754]~P79(x47541)+~E(x47542,f2(x47541))+E(f329(f81(x47541),x47542),f2(x47541))
% 191.26/191.46 [4755]~P89(x47551)+~E(x47552,f2(x47551))+E(f329(f77(x47551),x47552),f2(x47551))
% 191.26/191.46 [4780]~P78(x47802)+E(x47801,f2(x47802))+~E(f329(f81(x47802),x47801),x47801)
% 191.26/191.46 [4786]E(x47861,f329(a109,x47862))+~E(x47861,f2(a908))+~E(x47862,f329(f105(a1),x47861))
% 191.26/191.46 [4787]E(f329(a109,x47871),x47872)+~E(x47872,f2(a908))+~E(x47871,f329(f105(a1),x47872))
% 191.26/191.46 [4791]~P95(x47912)+E(x47911,f2(a1))+~E(f329(f107(x47912),x47911),f2(x47912))
% 191.26/191.46 [4795]~P79(x47952)+E(x47951,f2(x47952))+~E(f329(f81(x47952),x47951),f2(x47952))
% 191.26/191.46 [4796]~P89(x47962)+E(x47961,f2(x47962))+~E(f329(f77(x47962),x47961),f2(x47962))
% 191.26/191.46 [4797]~P79(x47971)+E(f2(x47971),x47972)+~E(f329(f81(x47971),x47972),f2(x47971))
% 191.26/191.46 [4980]~P112(x49801)+~P18(x49801,x49802)+P18(x49801,f329(f174(x49801),x49802))
% 191.26/191.46 [5007]~P1(x50072)+~P1(x50071)+P1(f329(f329(a327,x50071),x50072))
% 191.26/191.46 [5041]~E(f80(a908),f2(a908))+E(f329(f36(x50411),x50412),f2(a908))+~P1(f329(f62(x50411),x50412))
% 191.26/191.46 [5078]~P118(x50781)+~P145(x50781)+E(f329(f329(f249(x50781),f2(x50781)),f329(a117,x50782)),f2(x50781))
% 191.26/191.46 [5116]~P112(x51161)+P18(x51161,f142(x51161,x51162))+~P1(f329(f62(x51161),x51162))
% 191.26/191.46 [5117]~P112(x51171)+P18(x51171,f750(x51172,x51171))+~P1(f329(f62(x51171),x51172))
% 191.26/191.46 [5140]~P112(x51401)+E(f329(f175(x51401),f142(x51401,x51402)),x51402)+~P1(f329(f62(x51401),x51402))
% 191.26/191.46 [5141]~P112(x51411)+E(f329(f175(x51411),f750(x51412,x51411)),x51412)+~P1(f329(f62(x51411),x51412))
% 191.26/191.46 [5169]P1(x51691)+P1(x51692)+~P1(f329(f329(a328,x51692),x51691))
% 191.26/191.46 [5182]E(x51821,f191(f916(x51822,a903)))+~E(f329(f36(x51822),x51821),f2(a908))+~P1(f329(f62(x51822),x51821))
% 191.26/191.46 [5187]P1(x51871)+~P1(x51872)+~P1(f329(f329(a332,x51872),x51871))
% 191.26/191.46 [5241]~P77(x52411)+E(f329(f77(x52411),x52412),x52412)+P1(f329(f329(f241(x52411),x52412),f2(x52411)))
% 191.26/191.46 [5242]~P10(x52422)+~P46(x52422,x52422,x52421)+E(f329(x52421,f101(x52422,x52421)),f101(x52422,x52421))
% 191.26/191.46 [5243]~P10(x52432)+~P46(x52432,x52432,x52431)+E(f329(x52431,f100(x52432,x52431)),f100(x52432,x52431))
% 191.26/191.46 [5304]~P70(x53042)+~P1(f329(f57(x53042),x53041))+P1(f329(x53041,f751(x53041,x53042)))
% 191.26/191.46 [5305]~P70(x53052)+~P1(f329(f57(x53052),x53051))+P1(f329(x53051,f759(x53051,x53052)))
% 191.26/191.46 [5345]E(x53451,f118(x53452))+P1(f329(f140(x53452),f119(x53452,x53451)))+~P1(f329(f140(x53452),x53451))
% 191.26/191.46 [5350]~P112(x53501)+~P1(f329(f62(x53501),x53502))+P1(f329(f140(x53501),f142(x53501,x53502)))
% 191.26/191.46 [5351]~P112(x53511)+~P1(f329(f62(x53511),x53512))+P1(f329(f140(x53511),f750(x53512,x53511)))
% 191.26/191.46 [5356]~P120(x53561)+E(f329(f105(x53561),f329(a109,x53562)),f329(f107(x53561),x53562))+P1(f329(f329(f241(a1),x53562),f2(a1)))
% 191.26/191.46 [5383]P12(x53832,x53831)+E(f329(x53831,f445(x53831)),f329(x53831,f494(x53831)))+P1(f329(f329(x53831,f445(x53831)),f494(x53831)))
% 191.26/191.46 [5396]E(f329(f105(a1),f345(x53961,x53962)),x53961)+P1(f329(x53962,f329(a109,x53961)))+~P1(f329(x53962,f2(a908)))
% 191.26/191.46 [5408]~P70(x54081)+~P1(f329(x54082,f764(x54082,x54081)))+P1(f329(f58(x54081),x54082))
% 191.26/191.46 [5409]~P70(x54091)+~P1(f329(x54092,f774(x54092,x54091)))+P1(f329(f58(x54091),x54092))
% 191.26/191.46 [5444]~P121(x54441)+~E(f84(x54441,x54442),f329(f81(x54441),f80(x54441)))+P1(f329(f329(f241(x54441),x54442),f2(x54441)))
% 191.26/191.46 [5517]~E(x55172,f2(a1))+E(f219(x55171,x55172),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f241(a1),x55172),f2(a1)))
% 191.26/191.46 [5518]~E(x55181,f2(a1))+E(f219(x55181,x55182),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f241(a1),x55182),f2(a1)))
% 191.26/191.46 [5568]E(f329(f105(a1),f345(x55681,x55682)),x55681)+P1(f329(x55682,f329(a109,x55681)))+P1(f329(f329(f241(a1),x55681),f2(a1)))
% 191.26/191.46 [5635]~P121(x56351)+E(f84(x56351,x56352),f329(f81(x56351),f80(x56351)))+~P1(f329(f329(f241(x56351),x56352),f2(x56351)))
% 191.26/191.46 [5636]~P89(x56361)+E(f329(f77(x56361),x56362),f329(f81(x56361),x56362))+~P1(f329(f329(f240(x56361),x56362),f2(x56361)))
% 191.26/191.46 [5637]~P89(x56371)+E(f329(f77(x56371),x56372),f329(f81(x56371),x56372))+~P1(f329(f329(f241(x56371),x56372),f2(x56371)))
% 191.26/191.46 [5638]~P77(x56381)+E(f329(f77(x56381),x56382),f329(f81(x56381),x56382))+~P1(f329(f329(f241(x56381),x56382),f2(x56381)))
% 191.26/191.46 [5738]~P1(f329(x57381,f345(x57382,x57381)))+P1(f329(x57381,f329(a109,x57382)))+~P1(f329(x57381,f2(a908)))
% 191.26/191.46 [5745]E(x57451,f2(a908))+E(f329(a117,f864(x57452,x57451)),x57451)+~P1(f329(f329(f241(a908),x57451),f329(a117,x57452)))
% 191.26/191.46 [5749]P12(x57491,x57492)+~E(f329(x57492,f445(x57492)),f329(x57492,f494(x57492)))+~P1(f329(f329(x57492,f445(x57492)),f494(x57492)))
% 191.26/191.46 [5768]~P112(x57681)+P18(x57681,x57682)+P1(f329(f329(f240(a908),f733(x57682,x57681)),f734(x57682,x57681)))
% 191.26/191.46 [5769]~P112(x57691)+P18(x57691,x57692)+P1(f329(f329(f240(a908),f741(x57692,x57691)),f745(x57692,x57691)))
% 191.26/191.46 [5855]~P89(x58551)+~E(x58552,f2(x58551))+P1(f329(f329(f240(x58551),f329(f77(x58551),x58552)),f2(x58551)))
% 191.26/191.46 [5943]~P1(f329(x59431,f345(x59432,x59431)))+P1(f329(x59431,f329(a109,x59432)))+P1(f329(f329(f241(a1),x59432),f2(a1)))
% 191.26/191.46 [5969]~P1(f329(x59691,f329(a109,x59692)))+P1(f329(x59691,f2(a908)))+~P1(f329(f329(f241(a1),x59692),f2(a1)))
% 191.26/191.46 [6313]~P121(x63131)+~P1(f329(f329(f241(x63131),x63132),f2(x63131)))+P1(f329(f329(f241(x63131),f84(x63131,x63132)),f2(x63131)))
% 191.26/191.46 [6426]~P121(x64261)+P1(f329(f329(f240(x64261),f329(f107(x64261),x64262)),f2(x64261)))+~P1(f329(f329(f240(a1),x64262),f2(a1)))
% 191.26/191.46 [6427]~P121(x64271)+P1(f329(f329(f241(x64271),f329(f107(x64271),x64272)),f2(x64271)))+~P1(f329(f329(f241(a1),x64272),f2(a1)))
% 191.26/191.46 [6435]~P89(x64352)+E(x64351,f2(x64352))+~P1(f329(f329(f240(x64352),f329(f77(x64352),x64351)),f2(x64352)))
% 191.26/191.46 [6514]~P120(x65141)+~P1(f329(f329(f331(x65141),x65142),f114(x65141)))+P1(f329(f329(f331(x65141),f329(f81(x65141),x65142)),f114(x65141)))
% 191.26/191.46 [6546]~P121(x65461)+~P1(f329(f329(f241(x65461),f84(x65461,x65462)),f2(x65461)))+P1(f329(f329(f241(x65461),x65462),f2(x65461)))
% 191.26/191.46 [6720]~P121(x67202)+~P1(f329(f329(f240(x67202),f329(f107(x67202),x67201)),f2(x67202)))+P1(f329(f329(f240(a1),x67201),f2(a1)))
% 191.26/191.46 [6721]~P121(x67212)+~P1(f329(f329(f241(x67212),f329(f107(x67212),x67211)),f2(x67212)))+P1(f329(f329(f241(a1),x67211),f2(a1)))
% 191.26/191.46 [6804]~P10(x68041)+~P46(x68041,x68041,x68042)+P1(f329(f329(f240(x68041),f329(x68042,f101(x68041,x68042))),f101(x68041,x68042)))
% 191.26/191.46 [6805]~P10(x68051)+~P46(x68051,x68051,x68052)+P1(f329(f329(f240(x68051),f329(x68052,f100(x68051,x68052))),f100(x68051,x68052)))
% 191.26/191.46 [7219]~P78(x72191)+~P1(f329(f329(f240(x72191),x72192),f2(x72191)))+P1(f329(f329(f240(x72191),f329(f329(f82(x72191),x72192),x72192)),f2(x72191)))
% 191.26/191.46 [7220]~P78(x72201)+~P1(f329(f329(f241(x72201),x72202),f2(x72201)))+P1(f329(f329(f241(x72201),f329(f329(f82(x72201),x72202),x72202)),f2(x72201)))
% 191.26/191.46 [7221]~P121(x72211)+~P1(f329(f329(f241(x72211),x72212),f2(x72211)))+P1(f329(f329(f241(x72211),f329(f329(f82(x72211),x72212),x72212)),f2(x72211)))
% 191.26/191.46 [7799]~P78(x77991)+~P1(f329(f329(f240(x77991),f329(f329(f82(x77991),x77992),x77992)),f2(x77991)))+P1(f329(f329(f240(x77991),x77992),f2(x77991)))
% 191.26/191.46 [7800]~P78(x78001)+~P1(f329(f329(f241(x78001),f329(f329(f82(x78001),x78002),x78002)),f2(x78001)))+P1(f329(f329(f241(x78001),x78002),f2(x78001)))
% 191.26/191.46 [7801]~P121(x78011)+~P1(f329(f329(f241(x78011),f329(f329(f82(x78011),x78012),x78012)),f2(x78011)))+P1(f329(f329(f241(x78011),x78012),f2(x78011)))
% 191.26/191.46 [4832]~E(x48322,f2(a908))+~E(x48321,f2(a908))+E(f329(f329(f82(a908),x48321),x48322),f2(a908))
% 191.26/191.46 [4833]~E(x48332,f80(a908))+~E(x48331,f80(a908))+E(f329(f329(f83(a908),x48331),x48332),f80(a908))
% 191.26/191.46 [4834]~E(x48342,f80(a1))+~E(x48341,f80(a1))+E(f329(f329(f83(a1),x48341),x48342),f80(a1))
% 191.26/191.46 [4889]~P68(x48892)+E(x48891,f2(x48892))+E(f329(f329(f37(x48892),x48891),x48891),f80(x48892))
% 191.26/191.46 [4890]~P124(x48902)+E(x48901,f2(x48902))+E(f329(f329(f292(x48902),x48901),x48901),f80(x48902))
% 191.26/191.46 [4891]~P125(x48912)+E(x48911,f2(x48912))+E(f329(f329(f292(x48912),x48911),x48911),f80(x48912))
% 191.26/191.46 [4909]~P78(x49091)+~E(x49092,f2(x49091))+E(f329(f329(f82(x49091),x49092),x49092),f2(x49091))
% 191.26/191.46 [4912]~P144(x49121)+~E(x49122,f80(x49121))+E(f329(f329(f83(x49121),x49122),x49122),f80(x49121))
% 191.26/191.46 [4913]~P125(x49131)+~E(x49132,f2(x49131))+E(f329(f329(f292(x49131),x49132),x49132),f2(x49131))
% 191.26/191.46 [4958]~E(x49582,f2(a908))+~E(x49581,f2(a908))+E(f329(f81(a1),f329(f105(a1),x49581)),f329(f105(a1),x49582))
% 191.26/191.46 [4977]E(x49771,f80(a908))+E(x49772,f2(a908))+~E(f329(f329(f83(a908),x49772),x49771),x49772)
% 191.26/191.46 [4989]E(x49891,f2(a908))+E(x49892,f2(a908))+~E(f329(f329(f83(a908),x49892),x49891),f2(a908))
% 191.26/191.46 [5016]~E(x50162,f2(a908))+~E(x50161,f329(a117,f2(a908)))+E(f329(f329(f82(a908),x50161),x50162),f329(a117,f2(a908)))
% 191.26/191.46 [5017]~E(x50171,f2(a908))+~E(x50172,f329(a117,f2(a908)))+E(f329(f329(f82(a908),x50171),x50172),f329(a117,f2(a908)))
% 191.26/191.46 [5024]E(x50241,f80(a1))+E(x50242,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50241),x50242),f80(a1))
% 191.26/191.46 [5025]E(x50251,f80(a1))+E(x50252,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50252),x50251),f80(a1))
% 191.26/191.46 [5026]E(x50261,f80(a1))+E(x50261,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50262),x50261),f80(a1))
% 191.26/191.46 [5028]E(x50281,f80(a1))+E(x50281,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50281),x50282),f80(a1))
% 191.26/191.46 [5050]~P78(x50502)+E(x50501,f2(x50502))+~E(f329(f329(f82(x50502),x50501),x50501),f2(x50502))
% 191.26/191.46 [5056]~E(x50561,f329(f108(a1),a102))+~E(x50562,f329(f108(a1),a102))+E(f329(f329(f83(a1),x50561),x50562),f80(a1))
% 191.26/191.46 [5067]E(x50671,f2(a908))+E(x50672,f2(a908))+~E(f329(f329(f82(a908),x50672),x50671),f329(a117,f2(a908)))
% 191.26/191.46 [5077]~P97(x50771)+~P71(x50771)+E(f329(f329(f292(x50771),x50772),f329(f108(x50771),a85)),f2(x50771))
% 191.26/191.46 [5083]~P144(x50831)+~E(x50832,f329(f81(x50831),f80(x50831)))+E(f329(f329(f83(x50831),x50832),x50832),f80(x50831))
% 191.26/191.46 [5088]~P11(x50882)+~P11(x50881)+P11(f329(f329(f82(a1),x50881),x50882))
% 191.26/191.46 [5089]~P11(x50892)+~P11(x50891)+P11(f329(f329(f83(a1),x50891),x50892))
% 191.26/191.46 [5090]~P11(x50902)+~P11(x50901)+P11(f329(f329(f37(a1),x50901),x50902))
% 191.26/191.46 [5092]~E(x50922,f2(a1))+E(x50921,f2(a1))+E(f47(x50921,x50922),f329(f329(f257(a1,a1),f2(a1)),x50921))
% 191.26/191.46 [5114]~E(x51142,f329(a117,f2(a908)))+~E(x51141,f329(a117,f2(a908)))+E(f329(f329(f83(a908),x51141),x51142),f329(a117,f2(a908)))
% 191.26/191.46 [5131]E(x51311,f2(a908))+E(x51312,f329(a117,f2(a908)))+~E(f329(f329(f249(a908),x51312),x51311),f329(a117,f2(a908)))
% 191.26/191.46 [5132]E(x51321,f2(a908))+E(x51321,f329(a117,f2(a908)))+~E(f329(f329(f82(a908),x51322),x51321),f329(a117,f2(a908)))
% 191.26/191.46 [5133]E(x51331,f2(a908))+E(x51331,f329(a117,f2(a908)))+~E(f329(f329(f82(a908),x51331),x51332),f329(a117,f2(a908)))
% 191.26/191.46 [5142]~P97(x51421)+~P71(x51421)+E(f329(f329(f292(x51421),x51422),f329(f108(x51421),a102)),f329(f81(x51421),x51422))
% 191.26/191.46 [5161]E(x51611,f329(a109,x51612))+~E(x51611,f2(a908))+P1(f329(f329(f240(a1),f2(a1)),x51612))
% 191.26/191.46 [5162]E(f329(a109,x51621),x51622)+~E(x51622,f2(a908))+P1(f329(f329(f240(a1),f2(a1)),x51621))
% 191.26/191.46 [5178]E(x51781,f329(a117,f2(a908)))+E(x51782,f329(a117,f2(a908)))+~E(f329(f329(f82(a908),x51781),x51782),f329(a117,f2(a908)))
% 191.26/191.46 [5189]~E(x51891,f329(a109,x51892))+E(x51891,f2(a908))+P1(f329(f329(f240(a1),f2(a1)),x51892))
% 191.26/191.46 [5190]~E(f329(a109,x51902),x51901)+E(x51901,f2(a908))+P1(f329(f329(f240(a1),f2(a1)),x51902))
% 191.26/191.46 [5216]~P2(x52161)+E(f329(f64(x52161,f106(x52161)),x52162),f10(x52161,x52162))+~P1(f329(f62(x52161),x52162))
% 191.26/191.46 [5217]~P2(x52171)+E(f329(f64(x52171,f115(x52171)),x52172),f13(x52171,x52172))+~P1(f329(f62(x52171),x52172))
% 191.26/191.46 [5218]~P112(x52181)+E(f329(f64(x52181,f238(x52181)),x52182),f14(x52181,x52182))+~P1(f329(f62(x52181),x52182))
% 191.26/191.46 [5219]~P112(x52191)+E(f329(f64(x52191,f239(x52191)),x52192),f15(x52191,x52192))+~P1(f329(f62(x52191),x52192))
% 191.26/191.46 [5299]E(x52991,x52992)+~E(f329(f329(f23(a908),x52992),x52991),f2(a908))+~E(f329(f329(f23(a908),x52991),x52992),f2(a908))
% 191.26/191.46 [5316]P11(x53161)+~P47(x53162)+~P1(f329(f329(f331(a1),x53161),x53162))
% 191.26/191.46 [5346]~P121(x53461)+~E(f84(x53461,x53462),f80(x53461))+P1(f329(f329(f241(x53461),f2(x53461)),x53462))
% 191.26/191.46 [5357]~P97(x53571)+E(f329(f105(x53571),f329(f108(a908),x53572)),f329(f108(x53571),x53572))+P1(f329(a196,f329(f108(a1),x53572)))
% 191.26/191.46 [5362]~P51(x53621,x53622)+P52(a903)+P1(f329(f62(f915(x53621,x53621)),x53622))
% 191.26/191.46 [5436]~P112(x54361)+E(f329(f64(x54361,f238(x54361)),x54362),f11(x54361,f238(x54361),x54362))+~P1(f329(f62(x54361),x54362))
% 191.26/191.46 [5437]~P112(x54371)+E(f329(f64(x54371,f239(x54371)),x54372),f12(x54371,f239(x54371),x54372))+~P1(f329(f62(x54371),x54372))
% 191.26/191.46 [5451]E(x54511,x54512)+P1(f329(f329(f241(a908),x54512),x54511))+P1(f329(f329(f241(a908),x54511),x54512))
% 191.26/191.46 [5452]E(x54521,x54522)+P1(f329(f329(f241(a1),x54522),x54521))+P1(f329(f329(f241(a1),x54521),x54522))
% 191.26/191.46 [5504]~P97(x55041)+E(f329(f105(x55041),f329(f108(a908),x55042)),f2(x55041))+~P1(f329(a196,f329(f108(a1),x55042)))
% 191.26/191.46 [5507]~E(x55072,f329(a109,x55071))+E(x55071,f329(f105(a1),x55072))+~P1(f329(f329(f240(a1),f2(a1)),x55071))
% 191.26/191.46 [5508]~E(f329(a109,x55081),x55082)+E(x55081,f329(f105(a1),x55082))+~P1(f329(f329(f240(a1),f2(a1)),x55081))
% 191.26/191.46 [5509]~E(x55091,f329(a109,x55092))+E(f329(f105(a1),x55091),x55092)+~P1(f329(f329(f240(a1),f2(a1)),x55092))
% 191.26/191.46 [5519]E(x55191,f329(a109,x55192))+~E(x55192,f329(f105(a1),x55191))+~P1(f329(f329(f240(a1),f2(a1)),x55192))
% 191.26/191.46 [5520]E(f329(a109,x55201),x55202)+~E(x55201,f329(f105(a1),x55202))+~P1(f329(f329(f240(a1),f2(a1)),x55201))
% 191.26/191.46 [5559]~P89(x55592)+E(x55591,f2(x55592))+P1(f329(f329(f241(x55592),f2(x55592)),f329(f77(x55592),x55591)))
% 191.26/191.46 [5624]~P121(x56241)+E(f84(x56241,x56242),f80(x56241))+~P1(f329(f329(f241(x56241),f2(x56241)),x56242))
% 191.26/191.46 [5628]~P97(x56281)+E(f329(f105(x56281),f329(f108(a908),x56282)),f2(x56281))+P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x56282)))
% 191.26/191.46 [5639]~P89(x56391)+E(f329(f77(x56391),x56392),x56392)+~P1(f329(f329(f240(x56391),f2(x56391)),x56392))
% 191.26/191.46 [5640]~P89(x56401)+E(f329(f77(x56401),x56402),x56402)+~P1(f329(f329(f241(x56401),f2(x56401)),x56402))
% 191.26/191.46 [5649]E(x56491,f2(a908))+~E(f142(a908,f329(f304(a908,x56492),x56491)),f118(a908))+P1(f329(f329(f240(a908),x56491),x56492))
% 191.26/191.46 [5659]~P5(x56591)+E(f329(f329(f6(x56591,x56591),f5(x56591)),f329(f175(x56591),x56592)),f329(f168(x56591),x56592))+~P1(f329(f140(x56591),x56592))
% 191.26/191.46 [5662]~P120(x56621)+E(f329(f105(x56621),f329(a109,x56622)),f329(f107(x56621),x56622))+~P1(f329(f329(f240(a1),f2(a1)),x56622))
% 191.26/191.46 [5689]E(x56891,x56892)+P1(f329(f329(f241(a908),x56891),x56892))+~P1(f329(f329(f240(a908),x56891),x56892))
% 191.26/191.46 [5690]E(x56901,x56902)+P1(f329(f329(f241(a1),x56901),x56902))+~P1(f329(f329(f240(a1),x56901),x56902))
% 191.26/191.46 [5693]E(x56931,f80(a1))+~E(f329(f329(f83(a1),x56932),x56931),f80(a1))+~P1(f329(f329(f241(a1),f2(a1)),x56932))
% 191.26/191.46 [5694]E(x56941,f80(a1))+~E(f329(f329(f83(a1),x56941),x56942),f80(a1))+~P1(f329(f329(f241(a1),f2(a1)),x56941))
% 191.26/191.46 [5735]~P47(x57352)+P1(f329(f329(f240(a1),f2(a1)),x57351))+~P1(f329(f329(f331(a1),x57351),x57352))
% 191.26/191.46 [5755]~P65(x57551,x57552)+P43(x57551,x57552)+~P1(f329(f62(f915(x57551,x57551)),x57552))
% 191.26/191.46 [5757]~P65(x57571,x57572)+P51(x57571,x57572)+~P1(f329(f62(f915(x57571,x57571)),x57572))
% 191.26/191.46 [5799]E(x57991,f191(f916(x57992,a903)))+~P1(f329(f62(x57992),x57991))+P1(f329(f329(f241(a908),f2(a908)),f329(f36(x57992),x57991)))
% 191.26/191.46 [5826]~P1(f329(x58261,x58262))+P1(f329(x58261,f2(a908)))+P1(f329(f329(f241(a908),f871(x58262,x58261)),x58262))
% 191.26/191.46 [5849]E(x58491,f2(a908))+~E(f329(f168(a908),x58492),f2(a908))+~P1(f329(f329(f331(a908),x58491),f329(f175(a908),x58492)))
% 191.26/191.46 [5915]E(x59151,x59152)+~P1(f329(f329(f240(a908),x59152),x59151))+~P1(f329(f329(f240(a908),x59151),x59152))
% 191.26/191.46 [5916]E(x59161,x59162)+~P1(f329(f329(f240(a1),x59162),x59161))+~P1(f329(f329(f240(a1),x59161),x59162))
% 191.26/191.46 [5918]E(f329(f36(x59181),x59182),f2(a908))+~P1(f329(f62(x59181),x59182))+P1(f329(f329(f331(x59181),f873(x59182,x59181)),x59182))
% 191.26/191.46 [5927]E(f51(x59271,x59272),f47(x59271,x59272))+P1(f329(f329(f240(a1),f2(a1)),x59271))+~P1(f329(f329(f241(a1),f2(a1)),x59272))
% 191.26/191.46 [5956]~P1(f329(x59561,f338(x59561)))+P1(f329(x59561,f329(a109,x59562)))+~P1(f329(f329(f240(a1),f2(a1)),x59562))
% 191.26/191.46 [5959]P1(f329(f329(f240(a908),x59591),f869(x59592)))+~P1(f329(f62(a908),x59592))+~P1(f329(f329(f331(a908),x59591),x59592))
% 191.26/191.46 [5960]P1(f329(f329(f241(a908),x59601),f863(x59602)))+~P1(f329(f62(a908),x59602))+~P1(f329(f329(f331(a908),x59601),x59602))
% 191.26/191.46 [5990]E(x59901,x59902)+~P1(f329(f329(f241(a908),x59901),f329(a117,x59902)))+P1(f329(f329(f241(a908),x59901),x59902))
% 191.26/191.46 [6022]E(x60221,f329(a117,x60222))+~P1(f329(f329(f240(a908),x60221),f329(a117,x60222)))+P1(f329(f329(f240(a908),x60221),x60222))
% 191.26/191.46 [6038]P1(f329(x60381,f341(x60381)))+~P1(f329(x60381,f329(a109,x60382)))+~P1(f329(f329(f240(a1),f2(a1)),x60382))
% 191.26/191.46 [6052]~P1(f329(x60521,x60522))+~P1(f329(f329(f240(a1),f2(a1)),x60522))+P1(f329(x60521,f329(f105(a1),f347(x60521))))
% 191.26/191.46 [6064]~P89(x60642)+~E(x60641,f2(x60642))+~P1(f329(f329(f241(x60642),f2(x60642)),f329(f77(x60642),x60641)))
% 191.26/191.46 [6090]~P65(x60901,x60902)+P43(x60901,f329(f289(x60901,x60901),x60902))+~P1(f329(f62(f915(x60901,x60901)),x60902))
% 191.26/191.46 [6100]~P97(x61001)+E(f329(f105(x61001),f329(f108(a908),x61002)),f329(f108(x61001),x61002))+~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x61002)))
% 191.26/191.46 [6104]E(f329(a117,x61041),x61042)+~P1(f329(f329(f241(a908),x61041),x61042))+P1(f329(f329(f241(a908),f329(a117,x61041)),x61042))
% 191.26/191.46 [6120]E(f329(f329(f37(a1),x61201),x61202),f2(a1))+~P1(f329(f329(f240(a1),x61201),f2(a1)))+~P1(f329(f329(f241(a1),x61202),x61201))
% 191.26/191.46 [6130]E(f46(a1,x61301,x61302),x61301)+~P1(f329(f329(f240(a1),x61301),f2(a1)))+~P1(f329(f329(f241(a1),x61302),x61301))
% 191.26/191.46 [6144]E(f48(x61441,x61442),f47(x61441,x61442))+~P1(f329(f329(f240(a1),f2(a1)),x61441))+~P1(f329(f329(f240(a1),f2(a1)),x61442))
% 191.26/191.46 [6154]E(f329(f329(f37(a1),x61541),x61542),f2(a1))+~P1(f329(f329(f240(a1),f2(a1)),x61541))+~P1(f329(f329(f241(a1),x61541),x61542))
% 191.26/191.46 [6166]E(f46(a908,f329(f108(a908),x61661),f329(f108(a908),x61662)),f329(f108(a908),x61661))+P1(f329(a196,f329(f108(a1),x61661)))+~P1(f329(a196,f329(f108(a1),x61662)))
% 191.26/191.46 [6168]E(f46(a1,x61681,x61682),x61681)+~P1(f329(f329(f240(a1),f2(a1)),x61681))+~P1(f329(f329(f241(a1),x61681),x61682))
% 191.26/191.46 [6169]E(x61691,x61692)+~P1(f329(f329(f241(a908),x61691),f329(a117,x61692)))+~P1(f329(f329(f240(a908),x61692),x61691))
% 191.26/191.46 [6183]~P78(x61831)+~P1(f329(f329(f240(x61831),x61832),f2(x61831)))+P1(f329(f329(f240(x61831),x61832),f329(f81(x61831),x61832)))
% 191.26/191.46 [6184]~P121(x61841)+~P1(f329(f329(f241(x61841),x61842),f2(x61841)))+P1(f329(f329(f241(x61841),x61842),f329(f81(x61841),x61842)))
% 191.26/191.46 [6194]~P10(x61941)+E(f329(f329(f65(x61941,x61941,f106(x61941)),f247(x61941)),x61942),f39(x61941,x61942))+~P1(f329(f62(x61941),x61942))
% 191.26/191.46 [6195]~P10(x61951)+E(f329(f329(f65(x61951,x61951,f115(x61951)),f191(x61951)),x61952),f38(x61951,x61952))+~P1(f329(f62(x61951),x61952))
% 191.26/191.46 [6212]~P121(x62121)+~P1(f329(f329(f240(a1),f2(a1)),x62122))+P1(f329(f329(f240(x62121),f2(x62121)),f329(f107(x62121),x62122)))
% 191.26/191.46 [6213]~P127(x62131)+~P1(f329(f329(f241(a908),f2(a908)),x62132))+P1(f329(f329(f241(x62131),f2(x62131)),f329(f105(x62131),x62132)))
% 191.26/191.46 [6214]~P121(x62141)+~P1(f329(f329(f241(a1),f2(a1)),x62142))+P1(f329(f329(f241(x62141),f2(x62141)),f329(f107(x62141),x62142)))
% 191.26/191.46 [6217]~P11(x62172)+~P11(x62171)+E(f329(f312(a908,a1,f105(a1)),f305(a908,f329(a109,x62171),f329(a109,x62172))),f305(a1,x62171,x62172))
% 191.26/191.46 [6223]P1(f329(x62231,x62232))+~P1(f329(f329(f240(a1),f2(a1)),x62232))+~P1(f329(x62231,f329(f105(a1),f348(x62231))))
% 191.26/191.46 [6253]E(f329(f329(f82(a908),f329(f108(a908),x62531)),f329(f108(a908),x62532)),f329(f108(a908),x62531))+P1(f329(f329(f241(a1),x62531),a85))+~P1(f329(f329(f241(a1),x62532),a85))
% 191.26/191.46 [6257]~P121(x62571)+P1(f329(f329(f241(x62571),f2(x62571)),f84(x62571,x62572)))+~P1(f329(f329(f241(x62571),f2(x62571)),x62572))
% 191.26/191.46 [6268]~P86(x62681)+~P1(f329(f329(f240(x62681),x62682),f2(x62681)))+P1(f329(f329(f240(x62681),f2(x62681)),f329(f81(x62681),x62682)))
% 191.26/191.46 [6269]~P86(x62691)+~P1(f329(f329(f241(x62691),x62692),f2(x62691)))+P1(f329(f329(f241(x62691),f2(x62691)),f329(f81(x62691),x62692)))
% 191.26/191.46 [6272]E(x62721,f247(f916(x62722,a903)))+~E(f329(f36(x62722),x62721),f329(f36(x62722),f247(f916(x62722,a903))))+~P1(f329(f62(x62722),f247(f916(x62722,a903))))
% 191.26/191.46 [6304]~P78(x63041)+P1(f329(f329(f240(x63041),x63042),f2(x63041)))+~P1(f329(f329(f240(x63041),x63042),f329(f81(x63041),x63042)))
% 191.26/191.46 [6305]~P121(x63051)+P1(f329(f329(f241(x63051),x63052),f2(x63051)))+~P1(f329(f329(f241(x63051),x63052),f329(f81(x63051),x63052)))
% 191.26/191.46 [6315]~P97(x63151)+P1(f329(f329(f331(x63151),f329(f108(x63151),x63152)),f189(x63151)))+~P1(f329(f329(f240(a1),a85),x63152))
% 191.26/191.46 [6344]E(x63441,f2(a908))+~P1(f329(f329(f241(a908),x63441),f329(a117,x63442)))+P1(f329(f329(f241(a908),f864(x63442,x63441)),x63442))
% 191.26/191.46 [6366]~P121(x63661)+~P1(f329(f329(f241(x63661),f2(x63661)),f84(x63661,x63662)))+P1(f329(f329(f241(x63661),f2(x63661)),x63662))
% 191.26/191.46 [6368]~E(f329(f108(a908),x63682),f329(f108(a908),x63681))+P1(f329(f329(f240(a1),f329(f108(a1),x63681)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x63682)))
% 191.26/191.46 [6397]E(f329(f256(a1,a1),f51(x63971,x63972)),f329(f329(f37(a1),x63971),x63972))+~P1(f329(f329(f241(a1),x63971),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x63972))
% 191.26/191.47 [6433]E(f329(f261(a1,a1),f51(x64331,x64332)),f46(a1,x64331,x64332))+~P1(f329(f329(f241(a1),x64331),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x64332))
% 191.26/191.47 [6436]~P121(x64362)+~P1(f329(f329(f240(x64362),f2(x64362)),f329(f107(x64362),x64361)))+P1(f329(f329(f240(a1),f2(a1)),x64361))
% 191.26/191.47 [6437]~P127(x64372)+~P1(f329(f329(f241(x64372),f2(x64372)),f329(f105(x64372),x64371)))+P1(f329(f329(f241(a908),f2(a908)),x64371))
% 191.26/191.47 [6438]~P121(x64382)+~P1(f329(f329(f241(x64382),f2(x64382)),f329(f107(x64382),x64381)))+P1(f329(f329(f241(a1),f2(a1)),x64381))
% 191.26/191.47 [6441]E(f329(f256(a1,a1),f48(x64411,x64412)),f329(f329(f37(a1),x64411),x64412))+~P1(f329(f329(f240(a1),f2(a1)),x64412))+~P1(f329(f329(f241(a1),f2(a1)),x64411))
% 191.26/191.47 [6456]E(f329(f261(a1,a1),f48(x64561,x64562)),f46(a1,x64561,x64562))+~P1(f329(f329(f240(a1),f2(a1)),x64562))+~P1(f329(f329(f241(a1),f2(a1)),x64561))
% 191.26/191.47 [6471]~P86(x64711)+P1(f329(f329(f240(x64711),x64712),f2(x64711)))+~P1(f329(f329(f240(x64711),f2(x64711)),f329(f81(x64711),x64712)))
% 191.26/191.47 [6472]~P86(x64721)+P1(f329(f329(f241(x64721),x64722),f2(x64721)))+~P1(f329(f329(f241(x64721),f2(x64721)),f329(f81(x64721),x64722)))
% 191.26/191.47 [6495]~P10(x64951)+~P46(x64951,x64951,x64952)+P1(f329(f329(f240(x64951),f101(x64951,x64952)),f329(x64952,f101(x64951,x64952))))
% 191.26/191.47 [6496]~P10(x64961)+~P46(x64961,x64961,x64962)+P1(f329(f329(f240(x64961),f100(x64961,x64962)),f329(x64962,f100(x64961,x64962))))
% 191.26/191.47 [6500]P1(f329(f50(x65001,x65002),f51(x65001,x65002)))+~P1(f329(f329(f241(a1),x65001),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x65002))
% 191.26/191.47 [6526]P1(f329(f50(x65261,x65262),f48(x65261,x65262)))+~P1(f329(f329(f240(a1),f2(a1)),x65261))+~P1(f329(f329(f241(a1),f2(a1)),x65262))
% 191.26/191.47 [6570]~P86(x65701)+P1(f329(f329(f240(x65701),f329(f81(x65701),x65702)),f2(x65701)))+~P1(f329(f329(f240(x65701),f2(x65701)),x65702))
% 191.26/191.47 [6571]~P86(x65711)+P1(f329(f329(f241(x65711),f329(f81(x65711),x65712)),f2(x65711)))+~P1(f329(f329(f241(x65711),f2(x65711)),x65712))
% 191.26/191.47 [6587]E(f329(f329(f23(a908),f329(a109,x65871)),f329(a109,x65872)),f329(a109,f198(x65871,x65872)))+~P1(f329(f329(f240(a1),f2(a1)),x65872))+~P1(f329(f329(f240(a1),f2(a1)),x65871))
% 191.26/191.47 [6604]P1(f329(f329(f240(a1),f2(a1)),f198(x66041,x66042)))+~P1(f329(f329(f240(a1),f2(a1)),x66042))+~P1(f329(f329(f240(a1),f2(a1)),x66041))
% 191.26/191.47 [6643]~P1(f329(x66431,x66432))+P1(f329(x66431,f2(a908)))+P1(f329(x66431,f329(f329(f82(a908),f871(x66432,x66431)),f80(a908))))
% 191.26/191.47 [6727]E(f329(f108(a908),x67271),f329(f108(a908),x67272))+~P1(f329(f329(f240(a1),f329(f108(a1),x67272)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x67271)))
% 191.26/191.47 [6737]~E(x67371,f2(a908))+~E(f699(x67372,x67371),f2(a908))+E(f329(f145(a908,a908,f82(a908),x67371),x67372),f2(a908))
% 191.26/191.47 [6761]~P1(f329(f62(x67611),f611(x67612,x67611)))+~P1(f329(f62(f916(x67611,a903)),x67612))+P1(f329(f62(x67611),f38(f916(x67611,a903),x67612)))
% 191.26/191.47 [6767]E(x67671,x67672)+P1(f329(f329(f241(a1),x67671),x67672))+~P1(f329(f329(f241(a1),x67671),f329(f329(f82(a1),x67672),f80(a1))))
% 191.26/191.47 [6768]P1(f329(f329(f240(a908),f329(a109,x67681)),f329(a109,x67682)))+~P1(f329(f329(f240(a1),f2(a1)),x67682))+~P1(f329(f329(f240(a1),x67681),x67682))
% 191.26/191.47 [6769]P1(f329(f329(f240(a908),f329(a109,x67691)),f329(a109,x67692)))+~P1(f329(f329(f241(a1),f2(a1)),x67691))+~P1(f329(f329(f240(a1),x67691),x67692))
% 191.26/191.47 [6771]P1(f329(f329(f241(a908),f329(a109,x67711)),f329(a109,x67712)))+~P1(f329(f329(f240(a1),f2(a1)),x67711))+~P1(f329(f329(f241(a1),x67711),x67712))
% 191.26/191.47 [6772]P1(f329(f329(f241(a908),f329(a109,x67721)),f329(a109,x67722)))+~P1(f329(f329(f241(a1),f2(a1)),x67722))+~P1(f329(f329(f241(a1),x67721),x67722))
% 191.26/191.47 [6784]E(f46(a908,f329(a109,x67841),f329(a109,x67842)),f329(a109,f46(a1,x67841,x67842)))+~P1(f329(f329(f240(a1),f2(a1)),x67842))+~P1(f329(f329(f240(a1),f2(a1)),x67841))
% 191.26/191.47 [6808]~P86(x68081)+~P1(f329(f329(f240(x68081),f329(f81(x68081),x68082)),f2(x68081)))+P1(f329(f329(f240(x68081),f2(x68081)),x68082))
% 191.26/191.47 [6809]~P86(x68091)+~P1(f329(f329(f241(x68091),f329(f81(x68091),x68092)),f2(x68091)))+P1(f329(f329(f241(x68091),f2(x68091)),x68092))
% 191.26/191.47 [6823]~P1(f329(f329(f241(a1),a85),x68232))+~P1(f329(f329(f241(a1),x68231),x68232))+P1(f329(f329(f241(a908),f329(f108(a908),x68231)),f329(f108(a908),x68232)))
% 191.26/191.47 [6912]~P1(f329(f329(f240(a1),f2(a1)),x69121))+P1(f329(f329(f241(a908),f329(a109,x69121)),x69122))+~P1(f329(f329(f241(a1),x69121),f329(f105(a1),x69122)))
% 191.26/191.47 [6917]P1(f329(x69171,x69172))+~P1(f329(x69171,f329(a20,f835(x69171,x69172))))+~P1(f329(f329(f331(a908),x69172),f247(f916(a908,a903))))
% 191.26/191.47 [6928]E(x69281,f2(a1))+E(f46(a1,x69282,x69281),f2(a1))+E(f329(f329(f23(a1),f329(f81(a1),f329(f329(f37(a1),x69282),x69281))),f80(a1)),f329(f329(f37(a1),x69282),f329(f81(a1),x69281)))
% 191.26/191.47 [6942]~P1(f329(f329(f240(a1),f2(a1)),x69421))+~P1(f329(f329(f241(a908),f329(a109,x69421)),x69422))+P1(f329(f329(f241(a1),x69421),f329(f105(a1),x69422)))
% 191.26/191.47 [6976]~P1(f329(f329(f240(a908),f329(a109,x69761)),f329(a109,x69762)))+~P1(f329(f329(f240(a1),f2(a1)),x69762))+P1(f329(f329(f240(a1),x69761),x69762))
% 191.26/191.47 [6977]~P1(f329(f329(f240(a908),f329(a109,x69771)),f329(a109,x69772)))+~P1(f329(f329(f241(a1),f2(a1)),x69771))+P1(f329(f329(f240(a1),x69771),x69772))
% 191.26/191.47 [7005]P1(f329(f329(f240(a1),x70051),x70052))+~P1(f329(f329(f240(a908),f329(f108(a908),x70051)),f329(f108(a908),x70052)))+P1(f329(f329(f240(a1),x70051),a85))
% 191.26/191.47 [7033]P1(f329(f329(f240(a1),f2(a1)),f46(a1,x70331,x70332)))+~P1(f329(f329(f240(a1),f2(a1)),x70332))+~P1(f329(f329(f240(a1),f2(a1)),x70331))
% 191.26/191.47 [7129]P1(f329(f329(f241(a1),a85),x71291))+~P1(f329(f329(f241(a1),x71292),x71291))+~P1(f329(f329(f241(a908),f329(f108(a908),x71292)),f329(f108(a908),x71291)))
% 191.26/191.47 [7181]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x71811),x71812)),f46(a1,x71811,x71812)),f51(x71811,x71812))+~P1(f329(f329(f241(a1),x71811),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x71812))
% 191.26/191.47 [7201]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x72011),x72012)),f46(a1,x72011,x72012)),f48(x72011,x72012))+~P1(f329(f329(f240(a1),f2(a1)),x72012))+~P1(f329(f329(f240(a1),f2(a1)),x72011))
% 191.26/191.47 [7253]~P99(x72532)+E(x72531,f118(x72532))+E(f329(f145(x72532,x72532,f83(x72532),f329(f144(x72532),x72531)),f329(f174(x72532),x72531)),f329(f64(x72532,f83(x72532)),f329(f175(x72532),x72531)))
% 191.26/191.47 [7373]~E(x73731,f2(a908))+E(f329(f145(a908,a908,f82(a908),x73731),x73732),f2(a908))+P1(f329(f329(f331(a908),f699(x73732,x73731)),f329(f175(a908),x73732)))
% 191.26/191.47 [7424]~P1(f329(f329(f240(a1),x74241),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74241),x74242)),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x74242))
% 191.26/191.47 [7425]~P1(f329(f329(f241(a1),x74252),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74251),x74252)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74251))
% 191.26/191.47 [7426]~P1(f329(f329(f241(a1),x74262),f2(a1)))+P1(f329(f329(f241(a1),f329(f329(f37(a1),x74261),x74262)),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x74261))
% 191.26/191.47 [7428]~P1(f329(f329(f241(a1),x74281),f2(a1)))+P1(f329(f329(f241(a1),f329(f329(f37(a1),x74281),x74282)),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x74282))
% 191.26/191.47 [7435]P1(f329(f329(f331(f916(x74351,a903)),f611(x74352,x74351)),x74352))+~P1(f329(f62(f916(x74351,a903)),x74352))+P1(f329(f62(x74351),f38(f916(x74351,a903),x74352)))
% 191.26/191.47 [7531]P30(x75311,x75311,x75312,f247(f916(x75311,a903)))+~E(f329(f312(x75311,x75311,x75312),f247(f916(x75311,a903))),f247(f916(x75311,a903)))+~P1(f329(f62(x75311),f247(f916(x75311,a903))))
% 191.26/191.47 [7654]~P30(x76541,x76541,x76542,f247(f916(x76541,a903)))+E(f329(f312(x76541,x76541,x76542),f247(f916(x76541,a903))),f247(f916(x76541,a903)))+~P1(f329(f62(x76541),f247(f916(x76541,a903))))
% 191.26/191.47 [7792]E(f329(f329(f37(a1),x77921),x77922),f329(f108(a1),a102))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x77921),x77922)),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x77921))
% 191.26/191.47 [7850]~P1(f329(f329(f241(a1),x78502),f2(a1)))+~P1(f329(f329(f241(a1),f329(f329(f37(a1),x78501),x78502)),f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x78501))
% 191.26/191.47 [7855]E(f329(f329(f82(a1),x78551),x78552),f46(a1,x78551,x78552))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x78551),x78552)),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x78551))
% 191.26/191.47 [7858]P1(f329(f329(f241(a1),x78581),f2(a1)))+~P1(f329(f329(f241(a1),f329(f329(f37(a1),x78581),x78582)),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x78582))
% 191.26/191.47 [7905]~P33(a902,x79051,f849(x79051))+P33(a902,x79051,f329(f329(f329(f93(a902),f329(a919,x79052)),f329(f236(a904),f329(a27,x79052))),f329(a922,x79052)))+~P1(f329(f329(f331(a906),x79052),a918))
% 191.26/191.47 [8573]~P112(x85731)+P18(x85731,x85732)+~P1(f329(f329(f240(x85731),f329(f329(f167(x85731),x85732),f733(x85732,x85731))),f329(f329(f167(x85731),x85732),f734(x85732,x85731))))
% 191.26/191.47 [8574]~P112(x85741)+P18(x85741,x85742)+~P1(f329(f329(f240(x85741),f329(f329(f167(x85741),x85742),f741(x85742,x85741))),f329(f329(f167(x85741),x85742),f745(x85742,x85741))))
% 191.26/191.47 [5792]E(x57921,f2(a1))+~E(f46(a1,x57922,x57921),f2(a1))+E(f329(f329(f37(a1),x57922),f329(f81(a1),x57921)),f329(f81(a1),f329(f329(f37(a1),x57922),x57921)))
% 191.26/191.47 [5810]~P47(x58102)+~P47(x58101)+P47(f329(f329(f115(f916(a1,a903)),x58101),x58102))
% 191.26/191.47 [5811]~P47(x58112)+~P47(x58111)+P47(f329(f329(f106(f916(a1,a903)),x58111),x58112))
% 191.26/191.47 [5829]~P97(x58291)+~P71(x58291)+E(f329(f81(x58291),f329(f329(f292(x58291),f80(x58291)),x58292)),f329(f329(f292(x58291),f329(f108(x58291),a102)),x58292))
% 191.26/191.47 [5948]E(x59481,f2(a1))+~E(f46(a1,x59482,x59481),f2(a1))+E(f329(f329(f37(a1),f329(f81(a1),x59482)),x59481),f329(f81(a1),f329(f329(f37(a1),x59482),x59481)))
% 191.26/191.47 [6084]~P112(x60841)+P18(x60841,x60842)+P1(f329(f329(f241(a908),f734(x60842,x60841)),f329(f192(f909(x60841)),x60842)))
% 191.26/191.47 [6085]~P112(x60851)+P18(x60851,x60852)+P1(f329(f329(f241(a908),f745(x60852,x60851)),f329(f192(f909(x60851)),x60852)))
% 191.26/191.47 [6247]~P97(x62471)+~E(f329(f108(x62471),x62472),f2(x62471))+P35(x62471,f329(f108(x62471),f329(f329(f82(a1),x62472),f329(f81(a1),a85))))
% 191.26/191.47 [6248]~P97(x62481)+~E(f329(f108(x62481),x62482),f2(x62481))+P35(x62481,f329(f108(x62481),f329(f329(f82(a1),a85),f329(f81(a1),x62482))))
% 191.26/191.47 [6250]E(f329(a52,f48(f329(f81(a1),x62501),f329(f81(a1),x62502))),f47(x62501,x62502))+P1(f329(f329(f240(a1),f2(a1)),x62501))+P1(f329(f329(f241(a1),f2(a1)),x62502))
% 191.26/191.47 [6374]~E(x63742,f2(a908))+~E(x63741,f2(a908))+P1(f329(f329(f240(a1),f329(f105(a1),x63741)),f329(f81(a1),f329(f105(a1),x63742))))
% 191.26/191.47 [6403]E(f329(f329(f82(a908),f329(f108(a908),x64031)),f329(f108(a908),x64032)),f329(f108(a908),f329(f329(f82(a1),x64031),x64032)))+P1(f329(f329(f241(a1),x64031),a85))+P1(f329(f329(f241(a1),x64032),a85))
% 191.26/191.47 [6535]~P78(x65351)+~P1(f329(f329(f240(x65351),f2(x65351)),x65352))+P1(f329(f329(f240(x65351),f329(f81(x65351),x65352)),x65352))
% 191.26/191.47 [6536]~P78(x65361)+~P1(f329(f329(f241(x65361),f2(x65361)),x65362))+P1(f329(f329(f241(x65361),f329(f81(x65361),x65362)),x65362))
% 191.26/191.47 [6713]E(f329(f329(f23(a908),f329(a109,x67131)),f329(a109,x67132)),f329(a109,f329(f329(f23(a1),x67131),x67132)))+~P1(f329(f329(f240(a1),f2(a1)),x67132))+~P1(f329(f329(f240(a1),x67132),x67131))
% 191.26/191.47 [6745]E(f329(a109,f46(a1,f329(f108(a1),x67451),f329(f108(a1),x67452))),f46(a908,f329(f108(a908),x67451),f329(f108(a908),x67452)))+P1(f329(a196,f329(f108(a1),x67451)))+P1(f329(a196,f329(f108(a1),x67452)))
% 191.26/191.47 [6762]~P78(x67621)+P1(f329(f329(f240(x67621),f2(x67621)),x67622))+~P1(f329(f329(f240(x67621),f329(f81(x67621),x67622)),x67622))
% 191.26/191.47 [6763]~P78(x67631)+P1(f329(f329(f241(x67631),f2(x67631)),x67632))+~P1(f329(f329(f241(x67631),f329(f81(x67631),x67632)),x67632))
% 191.26/191.47 [6775]~P78(x67751)+~P1(f329(f329(f240(x67751),f2(x67751)),x67752))+P1(f329(f329(f240(x67751),f2(x67751)),f329(f329(f82(x67751),x67752),x67752)))
% 191.26/191.47 [6778]~P78(x67781)+~P1(f329(f329(f241(x67781),f2(x67781)),x67782))+P1(f329(f329(f241(x67781),f2(x67781)),f329(f329(f82(x67781),x67782),x67782)))
% 191.26/191.47 [6789]E(f329(f329(f82(a908),f329(a109,x67891)),f329(a109,x67892)),f329(a109,f329(f329(f82(a1),x67891),x67892)))+~P1(f329(f329(f240(a1),f2(a1)),x67892))+~P1(f329(f329(f240(a1),f2(a1)),x67891))
% 191.26/191.47 [6801]E(x68011,f2(a908))+P1(f329(f329(f241(a908),f2(a908)),x68012))+~P1(f329(f329(f241(a908),f2(a908)),f329(f329(f249(a908),x68012),x68011)))
% 191.26/191.47 [6833]~P97(x68331)+E(f329(f108(x68331),x68332),f2(x68331))+~P35(x68331,f329(f108(x68331),f329(f329(f82(a1),a85),f329(f81(a1),x68332))))
% 191.26/191.47 [6834]~P97(x68341)+E(f329(f108(x68341),x68342),f2(x68341))+~P35(x68341,f329(f108(x68341),f329(f329(f82(a1),x68342),f329(f81(a1),a85))))
% 191.26/191.47 [6890]~P1(f329(f62(x68901),x68902))+~P1(f329(f62(x68901),f247(f916(x68901,a903))))+P1(f329(f62(x68901),f329(f81(f916(x68901,a903)),x68902)))
% 191.26/191.47 [6913]~P1(f329(f329(f241(a1),f2(a1)),x69132))+~P1(f329(f329(f240(a1),x69132),x69131))+P1(f329(f329(f241(a1),f2(a1)),f329(f329(f37(a1),x69131),x69132)))
% 191.26/191.47 [6914]~P1(f329(f329(f240(a1),x69141),f2(a1)))+~P1(f329(f329(f241(a1),x69142),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x69141),x69142)))
% 191.26/191.47 [6950]~P1(f329(f329(f240(a1),f2(a1)),x69502))+~P1(f329(f329(f240(a1),f2(a1)),x69501))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),x69501),x69502)))
% 191.26/191.47 [6951]~P1(f329(f329(f240(a1),f2(a1)),x69512))+~P1(f329(f329(f240(a1),f2(a1)),x69511))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f83(a1),x69511),x69512)))
% 191.26/191.47 [6952]~P1(f329(f329(f240(a1),f2(a1)),x69522))+~P1(f329(f329(f240(a1),f2(a1)),x69521))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x69521),x69522)))
% 191.26/191.47 [6953]~P1(f329(f329(f240(a1),f2(a1)),x69531))+~P1(f329(f329(f241(a1),f2(a1)),x69532))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x69531),x69532)))
% 191.26/191.47 [6954]~P1(f329(f329(f241(a908),f2(a908)),x69542))+~P1(f329(f329(f241(a908),f2(a908)),x69541))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f83(a908),x69541),x69542)))
% 191.26/191.47 [7018]E(x70181,f2(a1))+E(f46(a1,x70182,x70181),f2(a1))+E(f329(f329(f23(a1),f329(f81(a1),f329(f329(f37(a1),x70182),x70181))),f80(a1)),f329(f329(f37(a1),f329(f81(a1),x70182)),x70181))
% 191.26/191.47 [7074]P1(f329(f329(f241(a908),f2(a908)),x70741))+P1(f329(f329(f241(a908),f2(a908)),x70742))+~P1(f329(f329(f241(a908),f2(a908)),f329(f329(f82(a908),x70742),x70741)))
% 191.26/191.47 [7078]~P78(x70781)+P1(f329(f329(f240(x70781),f2(x70781)),x70782))+~P1(f329(f329(f240(x70781),f2(x70781)),f329(f329(f82(x70781),x70782),x70782)))
% 191.26/191.47 [7079]~P78(x70791)+P1(f329(f329(f241(x70791),f2(x70791)),x70792))+~P1(f329(f329(f241(x70791),f2(x70791)),f329(f329(f82(x70791),x70792),x70792)))
% 191.26/191.47 [7130]~P1(f329(f62(x71301),x71302))+P1(f329(f62(x71301),f247(f916(x71301,a903))))+~P1(f329(f62(x71301),f329(f81(f916(x71301,a903)),x71302)))
% 191.26/191.47 [7193]P1(f329(f329(f240(a1),x71931),f2(a1)))+~P1(f329(f329(f241(a1),x71932),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x71931),x71932)))
% 191.26/191.47 [7199]~P1(f329(f329(f241(a1),f2(a1)),x71991))+P1(f329(f329(f240(a1),x71991),x71992))+~P1(f329(f329(f241(a1),f2(a1)),f329(f329(f37(a1),x71992),x71991)))
% 191.26/191.47 [7200]~P1(f329(f329(f240(a1),f2(a1)),x72002))+P1(f329(f329(f240(a1),x72001),x72002))+~P1(f329(f329(f241(a1),f2(a1)),f329(f329(f37(a1),x72002),x72001)))
% 191.26/191.47 [7230]P1(f329(f329(f240(a1),f2(a1)),x72301))+~P1(f329(f329(f241(a1),f2(a1)),x72302))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x72301),x72302)))
% 191.26/191.47 [7231]P1(f329(f329(f241(a1),f2(a1)),x72311))+~P1(f329(f329(f240(a1),f2(a1)),x72312))+~P1(f329(f329(f241(a1),f2(a1)),f329(f329(f37(a1),x72312),x72311)))
% 191.26/191.47 [7685]~P1(f329(f62(x76852),f247(f916(x76852,a903))))+~P1(f329(f62(x76851),f247(f916(x76851,a903))))+P1(f329(f62(f914(x76851,x76852)),f247(f916(f914(x76851,x76852),a903))))
% 191.26/191.47 [7686]~P1(f329(f62(x76862),f247(f916(x76862,a903))))+~P1(f329(f62(x76861),f247(f916(x76861,a903))))+P1(f329(f62(f915(x76861,x76862)),f247(f916(f915(x76861,x76862),a903))))
% 191.26/191.47 [7757]~P1(f329(f329(f241(a908),f329(a117,f2(a908))),x77571))+~P1(f329(f329(f241(a908),f329(a117,f2(a908))),x77572))+P1(f329(f329(f241(a908),x77571),f329(f329(f83(a908),x77572),x77571)))
% 191.26/191.47 [7758]~P1(f329(f329(f241(a908),f329(a117,f2(a908))),x77581))+~P1(f329(f329(f241(a908),f329(a117,f2(a908))),x77582))+P1(f329(f329(f241(a908),x77581),f329(f329(f83(a908),x77581),x77582)))
% 191.26/191.47 [7791]E(f329(f36(x77911),f247(f916(x77911,a903))),f329(a117,f2(a908)))+P1(f329(f62(x77912),f247(f916(x77912,a903))))+~P1(f329(f62(f916(x77912,x77911)),f247(f916(f916(x77912,x77911),a903))))
% 191.26/191.47 [7922]~P1(f329(f329(f240(a908),f329(a117,f2(a908))),x79221))+~P1(f329(f329(f240(a908),f329(a117,f2(a908))),x79222))+P1(f329(f329(f240(a908),f329(a117,f2(a908))),f329(f329(f83(a908),x79221),x79222)))
% 191.26/191.47 [7923]~P1(f329(f329(f241(a908),f329(a117,f2(a908))),x79232))+~P1(f329(f329(f241(a908),f329(a117,f2(a908))),x79231))+P1(f329(f329(f241(a908),f329(a117,f2(a908))),f329(f329(f83(a908),x79231),x79232)))
% 191.26/191.47 [8278]~P114(x82781)+P46(a908,x82781,x82782)+~P1(f329(f329(f240(x82781),f329(x82782,f765(x82782,x82781))),f329(x82782,f329(a117,f765(x82782,x82781)))))
% 191.26/191.47 [8628]E(x86281,f118(x86282))+~P1(f329(f140(x86282),x86281))+E(f180(x86282,f329(f329(f8(a903,a903,x86282),a324),f329(f329(f7(x86282,x86282,a903),a326),f147(x86282,x86281))),x86281),f119(x86282,x86281))
% 191.26/191.47 [8725]~P47(x87252)+~P47(x87251)+E(f329(f312(a908,a1,f105(a1)),f329(f329(f115(f916(a908,a903)),f329(f312(a1,a908,a109),x87251)),f329(f312(a1,a908,a109),x87252))),f329(f329(f115(f916(a1,a903)),x87251),x87252))
% 191.26/191.47 [8726]~P47(x87262)+~P47(x87261)+E(f329(f312(a908,a1,f105(a1)),f329(f329(f106(f916(a908,a903)),f329(f312(a1,a908,a109),x87261)),f329(f312(a1,a908,a109),x87262))),f329(f329(f106(f916(a1,a903)),x87261),x87262))
% 191.26/191.47 [9386]~P97(x93861)+~E(f329(f108(x93861),x93862),f80(x93861))+P35(x93861,f329(f108(x93861),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x93862))))
% 191.26/191.47 [9628]~P97(x96281)+E(f329(f108(x96281),x96282),f80(x96281))+~P35(x96281,f329(f108(x96281),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x96282))))
% 191.26/191.47 [10367]E(x103671,f2(a1))+E(x103672,f2(a1))+E(f329(f263(a1,a1,a1,a1,f33(a1),f329(f83(a1),f84(a1,x103672))),f329(f329(f329(f99(f915(a1,a1)),f329(f329(a326,f84(a1,x103671)),f84(a1,x103672))),f54(x103671,x103672)),f329(f329(f262(a1,a1,f915(a1,a1)),f329(f329(f18(a1,f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),f329(f329(f8(f916(a1,f916(f915(a1,a1),f915(a1,a1))),f916(f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),a1),f18(a1,f915(a1,a1),f915(a1,a1))),f329(f329(f8(f915(a1,a1),f916(a1,f916(f915(a1,a1),f915(a1,a1))),a1),f329(f7(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f329(f329(f8(a903,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f99(f915(a1,a1))),f329(f329(f7(a1,a1,a903),a326),f2(a1))))),f329(f329(f7(a1,a1,f915(a1,a1)),f329(f329(f8(a1,f916(a1,f915(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f916(a1,a1),f916(a1,f915(a1,a1))),f329(f329(f8(f916(a1,f915(a1,a1)),f916(f916(a1,a1),f916(a1,f915(a1,a1))),a1),f8(a1,f915(a1,a1),a1)),f329(f329(f8(a1,f916(a1,f915(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f916(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103672))))),f54(x103671,x103672)))),f47(x103671,x103672))
% 191.26/191.47 [10368]E(x103681,f2(a1))+E(x103682,f2(a1))+E(f329(f263(a1,a1,a1,a1,f33(a1),f329(f83(a1),f84(a1,x103682))),f329(f329(f329(f99(f915(a1,a1)),f329(f329(a328,f329(f329(a327,f329(f329(f241(a1),f2(a1)),x103682)),f329(f329(f240(a1),f2(a1)),x103681))),f329(f329(a327,f329(f329(f241(a1),x103682),f2(a1))),f329(f329(f241(a1),x103681),f2(a1))))),f54(x103681,x103682)),f329(f329(f262(a1,a1,f915(a1,a1)),f329(f329(f18(a1,f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),f329(f329(f8(f916(a1,f916(f915(a1,a1),f915(a1,a1))),f916(f916(a1,f915(a1,a1)),f916(a1,f915(a1,a1))),a1),f18(a1,f915(a1,a1),f915(a1,a1))),f329(f329(f8(f915(a1,a1),f916(a1,f916(f915(a1,a1),f915(a1,a1))),a1),f329(f7(a1,f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),f329(f329(f8(a903,f916(f915(a1,a1),f916(f915(a1,a1),f915(a1,a1))),a1),f99(f915(a1,a1))),f329(f329(f7(a1,a1,a903),a326),f2(a1))))),f329(f329(f7(a1,a1,f915(a1,a1)),f329(f329(f8(a1,f916(a1,f915(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f916(a1,a1),f916(a1,f915(a1,a1))),f329(f329(f8(f916(a1,f915(a1,a1)),f916(f916(a1,a1),f916(a1,f915(a1,a1))),a1),f8(a1,f915(a1,a1),a1)),f329(f329(f8(a1,f916(a1,f915(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f916(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103682))))),f54(x103681,x103682)))),f47(x103681,x103682))
% 191.26/191.47 [5818]~P121(x58181)+~P97(x58181)+E(f329(f77(x58181),f329(f329(f249(x58181),f329(f108(x58181),a102)),x58182)),f80(x58181))
% 191.26/191.47 [6316]~P120(x63161)+~P1(f329(f329(f241(a1),x63162),f2(a1)))+E(f329(f81(x63161),f329(f105(x63161),f329(a109,f329(f81(a1),x63162)))),f329(f107(x63161),x63162))
% 191.26/191.47 [6519]P1(f329(f329(f240(a104),x65191),f80(a104)))+E(f329(f329(f82(a104),f80(a104)),f275(x65191,f329(f329(f37(a104),x65192),x65191))),f275(x65191,x65192))+P1(f329(f329(f241(a104),x65192),x65191))
% 191.26/191.47 [7118]~P95(x71181)+~P1(f329(f329(f331(x71181),x71182),f114(x71181)))+~E(f329(f329(f82(x71181),f329(f329(f82(x71181),f80(x71181)),x71182)),x71182),f2(x71181))
% 191.26/191.47 [7232]~P1(f329(f329(f240(a1),x72322),f2(a1)))+~P1(f329(f329(f241(a1),x72321),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f48(f329(f81(a1),x72321),f329(f81(a1),x72322)))),f329(f329(f37(a1),x72321),x72322))
% 191.26/191.47 [7249]~P1(f329(f329(f240(a1),x72492),f2(a1)))+~P1(f329(f329(f241(a1),x72491),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f48(f329(f81(a1),x72491),f329(f81(a1),x72492)))),f46(a1,x72491,x72492))
% 191.26/191.47 [7255]~P1(f329(f329(f241(a1),x72552),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f51(f329(f81(a1),x72551),f329(f81(a1),x72552)))),f329(f329(f37(a1),x72551),x72552))+~P1(f329(f329(f241(a1),f2(a1)),x72551))
% 191.26/191.47 [7273]~P1(f329(f329(f241(a1),x72732),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f51(f329(f81(a1),x72731),f329(f81(a1),x72732)))),f46(a1,x72731,x72732))+~P1(f329(f329(f241(a1),f2(a1)),x72731))
% 191.26/191.47 [7326]E(f329(f329(f37(a1),f329(f329(f249(a1),x73261),x73262)),x73261),f329(f329(f249(a1),x73261),f329(f329(f23(a908),x73262),f329(a117,f2(a908)))))+~P1(f329(f329(f241(a908),f2(a908)),x73262))+~P1(f329(f329(f241(a1),f2(a1)),x73261))
% 191.26/191.47 [7432]~P1(f329(f329(f241(a908),f2(a908)),x74321))+~P1(f329(f329(f241(a908),f2(a908)),x74322))+P1(f329(f329(f241(a908),f329(f329(f23(a908),x74321),x74322)),x74321))
% 191.26/191.47 [7433]~P1(f329(f329(f241(a908),f2(a908)),x74331))+~P1(f329(f329(f241(a908),f80(a908)),x74332))+P1(f329(f329(f241(a908),f329(f329(f37(a908),x74331),x74332)),x74331))
% 191.26/191.47 [7434]~P1(f329(f329(f241(a1),f2(a1)),x74341))+~P1(f329(f329(f241(a1),f80(a1)),x74342))+P1(f329(f329(f241(a1),f329(f329(f37(a1),x74341),x74342)),x74341))
% 191.26/191.47 [7581]E(x75811,f2(a908))+~E(x75812,f2(a1))+~P1(f329(f329(f241(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x75812)),x75811)))
% 191.26/191.47 [7956]~P1(f329(x79561,x79562))+P1(f329(x79561,f2(a908)))+E(f329(a117,f244(a908,f329(f329(f8(a908,a903,a908),x79561),a117))),f244(a908,x79561))
% 191.26/191.47 [8005]~E(x80052,f118(f909(x80051)))+E(f329(f192(f909(f909(x80051))),f182(x80051,x80052)),f2(a908))+~P18(a908,f329(f171(a908),f329(f329(f157(f909(x80051),a908),f192(f909(x80051))),x80052)))
% 191.26/191.47 [8265]P1(f329(x82651,x82652))+~P1(f329(x82651,f329(a112,f535(x82651,x82652))))+~P1(f329(f329(f331(f916(f915(a908,a908),a903)),x82652),a103))
% 191.26/191.47 [8282]E(x82821,f118(f909(x82822)))+E(f329(f192(f909(x82822)),f329(f329(f167(f909(x82822)),x82821),f2(a908))),f329(f192(f909(f909(x82822))),f182(x82822,x82821)))+~P18(a908,f329(f171(a908),f329(f329(f157(f909(x82822),a908),f192(f909(x82822))),x82821)))
% 191.26/191.47 [8425]~P44(x84251,x84252)+~P45(x84251,x84252)+P44(x84251,f329(f329(f23(f916(f915(x84251,x84251),a903)),x84252),f309(x84251,f191(f916(f915(x84251,x84251),a903)))))
% 191.26/191.47 [8992]~P1(f329(f62(x89921),f329(f267(x89921),x89922)))+~P1(f329(f62(x89921),f247(f916(x89921,a903))))+P1(f329(f62(x89921),f329(f267(x89921),f329(f329(f8(a903,a903,x89921),a324),x89922))))
% 191.26/191.47 [9061]E(f329(f329(f257(a908,a908),f329(a117,f329(f329(f37(a908),f329(f329(f23(a908),x90611),x90612)),x90612))),f46(a908,f329(f329(f23(a908),x90611),x90612),x90612)),f87(f915(a908,a908),f49(x90611,x90612)))+~P1(f329(f329(f241(a908),f2(a908)),x90612))+~P1(f329(f329(f240(a908),x90612),x90611))
% 191.26/191.47 [9353]~P1(f329(f62(x93531),f329(f267(x93531),x93532)))+P1(f329(f62(x93531),f247(f916(x93531,a903))))+~P1(f329(f62(x93531),f329(f267(x93531),f329(f329(f8(a903,a903,x93531),a324),x93532))))
% 191.26/191.47 [10067]P32(x100671,x100672)+~P43(x100671,f329(f256(f916(f915(x100671,x100671),a903),f916(f915(x100671,x100671),a903)),x100672))+~P1(f329(f329(f240(f916(f915(x100671,x100671),a903)),f329(f329(f291(x100671,x100671,x100671),f329(f256(f916(f915(x100671,x100671),a903),f916(f915(x100671,x100671),a903)),x100672)),f329(f261(f916(f915(x100671,x100671),a903),f916(f915(x100671,x100671),a903)),x100672))),f329(f256(f916(f915(x100671,x100671),a903),f916(f915(x100671,x100671),a903)),x100672)))
% 191.26/191.47 [7356]~P1(f329(f329(f241(a908),f2(a908)),x73562))+P1(f329(f329(f241(a908),x73561),x73562))+E(f329(a117,f329(f329(f37(a908),f329(f329(f23(a908),x73561),x73562)),x73562)),f329(f329(f37(a908),x73561),x73562))
% 191.26/191.47 [7500]~P1(f329(f329(f241(a908),f2(a908)),x75002))+~P1(f329(f329(f240(a908),x75002),x75001))+E(f329(a117,f329(f329(f37(a908),f329(f329(f23(a908),x75001),x75002)),x75002)),f329(f329(f37(a908),x75001),x75002))
% 191.26/191.47 [8488]~P97(x84881)+~P95(x84881)+~P35(x84881,f329(f108(x84881),f329(f329(f23(a1),f329(f329(f82(a1),x84882),x84882)),a102)))
% 191.26/191.47 [9253]E(x92531,f2(a908))+E(f329(f329(f262(a908,a908,f915(a908,a908)),f329(f329(f8(a908,f916(a908,f915(a908,a908)),a908),f257(a908,a908)),a117)),f87(f915(a908,a908),f49(f329(f329(f23(a908),x92532),x92531),x92531))),f87(f915(a908,a908),f49(x92532,x92531)))+P1(f329(f329(f241(a908),x92532),x92531))
% 191.26/191.47 [9438]~P44(x94381,x94382)+~P59(x94381,x94382)+P1(f329(f329(f240(f916(f915(x94381,x94381),a903)),f329(f329(f291(x94381,x94381,x94381),f329(f289(x94381,x94381),x94382)),x94382)),x94382))
% 191.26/191.47 [9690]P1(f329(x96902,f663(x96902,x96901)))+P1(f329(x96901,f663(x96902,x96901)))+E(f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x96901)),f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x96902)))
% 191.26/191.47 [9694]~P1(f329(x96942,f663(x96942,x96941)))+~P1(f329(x96941,f663(x96942,x96941)))+E(f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x96941)),f329(f267(a1),f329(f329(f18(a1,a903,a903),f329(f329(f8(a903,f916(a903,a903),a1),a327),f329(f240(a1),f2(a1)))),x96942)))
% 191.26/191.47 [7714]~P97(x77141)+~P72(x77141)+E(f329(f329(f292(x77141),x77142),f329(f108(x77141),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x77142)
% 191.26/191.47 [9385]~P97(x93851)+~E(f329(f108(x93851),x93852),f80(x93851))+P35(x93851,f329(f108(x93851),f329(f329(f82(a1),x93852),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.47 [9567]~P144(x95671)+~E(x95672,f2(x95671))+E(f329(f329(f249(x95671),x95672),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f2(x95671))
% 191.26/191.47 [9568]~P144(x95681)+~E(x95682,f80(x95681))+E(f329(f329(f249(x95681),x95682),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x95681))
% 191.26/191.47 [9583]~P144(x95831)+~E(x95832,f329(f81(x95831),f80(x95831)))+E(f329(f329(f249(x95831),x95832),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x95831))
% 191.26/191.47 [9629]~P97(x96291)+E(f329(f108(x96291),x96292),f80(x96291))+~P35(x96291,f329(f108(x96291),f329(f329(f82(a1),x96292),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.47 [10009]~P121(x100092)+E(x100091,f2(x100092))+P1(f329(f329(f241(x100092),f2(x100092)),f329(f329(f249(x100092),x100091),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.47 [10066]~P121(x100662)+~E(x100661,f2(x100662))+~P1(f329(f329(f241(x100662),f2(x100662)),f329(f329(f249(x100662),x100661),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.47 [10091]P1(f329(f329(f240(a1),x100911),f2(a1)))+P1(f329(f329(f241(a1),x100912),x100911))+E(f329(f44(x100911),f48(x100912,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100911))),f48(x100912,x100911))
% 191.26/191.47 [10092]~P1(f329(f329(f241(a1),f2(a1)),x100921))+P1(f329(f329(f241(a1),x100922),x100921))+E(f329(f44(x100921),f48(x100922,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100921))),f48(x100922,x100921))
% 191.26/191.47 [10093]P1(f329(f329(f240(a1),x100931),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),x100932),x100931)))+E(f329(f44(x100931),f51(x100932,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100931))),f51(x100932,x100931))
% 191.26/191.47 [10094]~P1(f329(f329(f241(a1),f2(a1)),x100941))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),x100942),x100941)))+E(f329(f44(x100941),f51(x100942,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100941))),f51(x100942,x100941))
% 191.26/191.47 [10095]~P109(x100951)+~P1(f329(f329(f240(a1),f2(a1)),x100952))+E(f329(f105(x100951),f329(a109,f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x100952))),f329(f329(f82(x100951),f329(f105(x100951),f329(a109,x100952))),f329(f105(x100951),f329(a109,x100952))))
% 191.26/191.47 [10337]P33(a902,x103371,f329(f329(f329(f93(a902),f329(a919,x103372)),f329(f236(a904),f329(a27,x103372))),f329(a922,x103372)))+~P1(f329(f329(f331(a906),x103372),a918))+P1(f329(f329(f331(f907(a902)),f849(x103371)),f329(f329(f115(f916(f907(a902),a903)),a920),f329(f312(a906,f907(a902),f329(f329(f18(a906,f916(a902,f916(a905,a903)),f907(a902)),f329(f329(f18(a906,a904,f916(f916(a902,f916(a905,a903)),f907(a902))),f329(f329(f8(f916(a902,f916(a905,a903)),f916(a904,f916(f916(a902,f916(a905,a903)),f907(a902))),a906),f93(a902)),a919)),a26)),a922)),a918))))
% 191.26/191.47 [5149]~P148(x51491,x51492,x51493)+~E(x51493,f2(a1))+P1(f329(x51491,x51492))
% 191.26/191.47 [5278]~P112(x52781)+~P18(x52781,x52783)+P18(x52781,f173(x52781,x52782,x52783))
% 191.26/191.47 [5279]~P112(x52791)+~P18(x52791,x52793)+P18(x52791,f180(x52791,x52792,x52793))
% 191.26/191.47 [4842]~P79(x48422)+~E(x48423,f329(f81(x48422),x48421))+E(x48421,f329(f81(x48422),x48423))
% 191.26/191.47 [4844]~P79(x48441)+~E(f329(f81(x48441),x48443),x48442)+E(f329(f81(x48441),x48442),x48443)
% 191.26/191.47 [4923]~P79(x49233)+E(x49231,x49232)+~E(f329(f81(x49233),x49231),f329(f81(x49233),x49232))
% 191.26/191.47 [4924]~P98(x49243)+E(x49241,x49242)+~E(f329(f81(x49243),x49241),f329(f81(x49243),x49242))
% 191.26/191.47 [4925]~P106(x49253)+E(x49251,x49252)+~E(f329(f105(x49253),x49251),f329(f105(x49253),x49252))
% 191.26/191.47 [4926]~P95(x49263)+E(x49261,x49262)+~E(f329(f107(x49263),x49261),f329(f107(x49263),x49262))
% 191.26/191.47 [4927]~P112(x49273)+E(x49271,x49272)+~E(f329(f285(x49273),x49271),f329(f285(x49273),x49272))
% 191.26/191.47 [4928]~P112(x49283)+E(x49281,x49282)+~E(f329(f303(x49283),x49281),f329(f303(x49283),x49282))
% 191.26/191.47 [4929]~P112(x49293)+E(x49291,x49292)+~E(f329(f286(x49293),x49291),f329(f286(x49293),x49292))
% 191.26/191.47 [4930]~P112(x49303)+E(x49301,x49302)+~E(f329(f306(x49303),x49301),f329(f306(x49303),x49302))
% 191.26/191.47 [5032]~P70(x50321)+~P1(f329(x50322,x50323))+P1(f329(f57(x50321),x50322))
% 191.26/191.47 [5069]~P70(x50693)+P1(f329(x50691,x50692))+~P1(f329(f58(x50693),x50691))
% 191.26/191.47 [5168]~P149(x51681,x51683,x51682)+~E(x51682,f2(a1))+P1(f329(x51681,f2(a1)))
% 191.26/191.47 [5204]~P110(x52042)+~P1(f329(x52041,x52043))+P1(f329(x52041,f244(x52042,x52041)))
% 191.26/191.47 [5211]~E(x52111,f2(a908))+E(f844(x52111,x52112,x52113),f191(f916(x52113,a903)))+~E(f329(f36(x52113),x52112),f329(a117,x52111))
% 191.26/191.47 [5361]~E(x53612,f2(a908))+E(f329(f256(a908,a908),x53611),f2(a908))+~P1(f329(f49(x53613,x53612),x53611))
% 191.26/191.47 [5405]P1(f329(x54051,x54052))+~E(x54053,f329(f105(a1),x54052))+~P1(f329(x54051,f329(a109,x54053)))
% 191.26/191.47 [5881]~E(x58813,f2(a908))+~P1(f329(x58811,x58812))+P1(f329(x58811,f46(a908,x58812,x58813)))
% 191.26/191.47 [5939]~P110(x59391)+~P1(f329(x59392,x59393))+~P1(f329(f329(f241(x59391),x59393),f244(x59391,x59392)))
% 191.26/191.47 [6115]~P107(x61152)+~P107(x61151)+E(f134(x61151,x61152,f135(x61151,x61153),f135(x61152,x61153)),f135(f915(x61151,x61152),x61153))
% 191.26/191.47 [6297]~E(x62973,f2(a908))+P1(f329(x62971,x62972))+~P1(f329(x62971,f46(a908,x62972,x62973)))
% 191.26/191.47 [6309]~P10(x63091)+~P1(f329(f329(f240(x63091),x63092),f329(x63093,x63092)))+P1(f329(f329(f240(x63091),x63092),f101(x63091,x63093)))
% 191.26/191.47 [6975]E(x69751,f2(a908))+~P1(f329(x69752,f343(x69751,x69753,x69752)))+P1(f329(x69752,f46(a908,x69753,x69751)))
% 191.26/191.47 [7084]~P10(x70841)+~P1(f329(f329(f240(x70841),x70842),f637(x70843,x70842,x70841)))+P1(f329(f329(f240(x70841),x70842),f39(x70841,x70843)))
% 191.26/191.47 [7086]~P1(f329(x70861,x70862))+~P1(f329(x70861,f343(x70863,x70862,x70861)))+P1(f329(x70861,f46(a908,x70862,x70863)))
% 191.26/191.47 [7187]E(x71871,f118(x71872))+E(f329(f329(f154(x71872),f714(x71873,x71871,x71872)),f717(x71873,x71871,x71872)),x71871)+~P1(f329(f329(f331(f909(x71872)),x71871),f164(x71872,x71873)))
% 191.26/191.47 [7218]~P120(x72181)+~P1(f329(f329(f331(x72181),x72182),f114(x72181)))+P1(f329(f329(f331(x72181),f329(f329(f249(x72181),x72182),x72183)),f114(x72181)))
% 191.26/191.47 [7549]P43(x75491,x75492)+~P1(f329(f329(f331(x75491),x75493),f610(x75492,x75491)))+P1(f329(f329(f331(x75491),f662(x75492,x75491,x75493)),f610(x75492,x75491)))
% 191.26/191.47 [7819]E(x78191,f118(x78192))+~P1(f329(f329(f331(f909(x78192)),x78191),f164(x78192,x78193)))+P1(f329(f329(f331(f909(x78192)),f717(x78193,x78191,x78192)),f164(x78192,x78193)))
% 191.26/191.47 [7872]E(x78721,f2(a908))+E(f329(f329(f82(a908),f329(f329(f83(a908),x78721),f344(x78721,x78722,x78723))),f343(x78721,x78722,x78723)),x78722)+P1(f329(x78723,f46(a908,x78722,x78721)))
% 191.26/191.47 [7916]~P1(f329(x79163,x79162))+E(f329(f329(f82(a908),f329(f329(f83(a908),x79161),f344(x79161,x79162,x79163))),f343(x79161,x79162,x79163)),x79162)+P1(f329(x79163,f46(a908,x79162,x79161)))
% 191.26/191.47 [8062]P1(f329(f329(f241(a1),x80621),f339(x80622,x80623,x80621)))+P1(f329(f329(x80623,f329(f329(f37(a1),x80622),x80621)),f46(a1,x80622,x80621)))+~P1(f329(f329(f241(a1),x80621),f2(a1)))
% 191.26/191.47 [8338]P1(f329(f329(x83382,f329(f329(f37(a1),x83381),x83383)),f46(a1,x83381,x83383)))+~P1(f329(f329(f241(a1),x83383),f2(a1)))+P1(f329(f329(f240(a1),f339(x83381,x83382,x83383)),f2(a1)))
% 191.26/191.47 [8523]E(f329(f329(f82(a1),f329(f329(f83(a1),x85231),f900(x85232,x85233,x85231))),f339(x85232,x85233,x85231)),x85232)+P1(f329(f329(x85233,f329(f329(f37(a1),x85232),x85231)),f46(a1,x85232,x85231)))+~P1(f329(f329(f241(a1),x85231),f2(a1)))
% 191.26/191.47 [8770]~P1(f329(f329(x87701,f900(x87702,x87701,x87703)),f339(x87702,x87701,x87703)))+P1(f329(f329(x87701,f329(f329(f37(a1),x87702),x87703)),f46(a1,x87702,x87703)))+~P1(f329(f329(f241(a1),x87703),f2(a1)))
% 191.26/191.47 [9005]~P112(x90051)+~P18(x90051,x90053)+P18(x90051,f152(x90051,x90051,f5(x90051),x90052,x90053))
% 191.26/191.47 [9514]~P129(x95142)+E(x95141,f2(x95142))+~P1(f329(f329(f240(x95142),f329(f329(f82(x95142),f329(f329(f83(x95142),x95143),x95143)),f329(f329(f83(x95142),x95141),x95141))),f2(x95142)))
% 191.26/191.47 [9515]~P129(x95152)+E(x95151,f2(x95152))+~P1(f329(f329(f240(x95152),f329(f329(f82(x95152),f329(f329(f83(x95152),x95151),x95151)),f329(f329(f83(x95152),x95153),x95153))),f2(x95152)))
% 191.26/191.47 [10300]~P121(x103001)+~P1(f329(f329(f241(x103001),x103002),f2(x103001)))+P1(f329(f329(f241(x103001),f329(f329(f249(x103001),x103002),f329(a117,f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x103003)))),f2(x103001)))
% 191.26/191.47 [10309]~P121(x103092)+E(x103091,f2(x103092))+~P1(f329(f329(f240(x103092),f329(f329(f82(x103092),f329(f329(f249(x103092),x103093),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x103092),x103091),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x103092)))
% 191.26/191.47 [10310]~P121(x103102)+E(x103101,f2(x103102))+~P1(f329(f329(f240(x103102),f329(f329(f82(x103102),f329(f329(f249(x103102),x103101),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x103102),x103103),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x103102)))
% 191.26/191.47 [4878]~E(x48782,x48783)+~P75(x48781)+E(f329(f329(f23(x48781),x48782),x48783),f2(x48781))
% 191.26/191.47 [4879]~E(x48792,x48793)+~P79(x48791)+E(f329(f329(f23(x48791),x48792),x48793),f2(x48791))
% 191.26/191.47 [4892]~P146(x48921)+~E(x48923,f2(x48921))+E(f329(f329(f82(x48921),x48922),x48923),x48922)
% 191.26/191.47 [4910]~P143(x49101)+~E(x49103,f2(x49101))+E(f329(f329(f83(x49101),x49102),x49103),f2(x49101))
% 191.26/191.47 [4911]~P143(x49111)+~E(x49112,f2(x49111))+E(f329(f329(f83(x49111),x49112),x49113),f2(x49111))
% 191.26/191.47 [4932]~E(x49323,f118(x49321))+~E(x49322,f118(x49321))+E(f329(f329(f137(x49321),x49322),x49323),f118(x49321))
% 191.26/191.47 [5022]~P146(x50222)+E(x50221,f2(x50222))+~E(f329(f329(f82(x50222),x50223),x50221),x50223)
% 191.26/191.47 [5023]~P79(x50231)+~E(x50232,f329(f81(x50231),x50233))+E(f329(f329(f82(x50231),x50232),x50233),f2(x50231))
% 191.26/191.47 [5030]E(x50301,f118(x50302))+E(x50303,f2(a908))+~E(f329(f329(f178(x50302),x50303),x50301),f118(x50302))
% 191.26/191.47 [5036]~P75(x50363)+E(x50361,x50362)+~E(f329(f329(f23(x50363),x50361),x50362),f2(x50363))
% 191.26/191.47 [5037]~P79(x50373)+E(x50371,x50372)+~E(f329(f329(f23(x50373),x50371),x50372),f2(x50373))
% 191.26/191.47 [5051]~P144(x50512)+E(x50511,f2(x50512))+~E(f329(f329(f249(x50512),x50511),x50513),f2(x50512))
% 191.26/191.47 [5052]~P3(x50522)+E(x50521,f191(x50522))+~E(f329(f329(f115(x50522),x50523),x50521),f191(x50522))
% 191.26/191.47 [5053]~P3(x50532)+E(x50531,f191(x50532))+~E(f329(f329(f115(x50532),x50531),x50533),f191(x50532))
% 191.26/191.47 [5054]~P102(x50542)+E(x50541,f247(x50542))+~E(f329(f329(f106(x50542),x50543),x50541),f247(x50542))
% 191.26/191.47 [5055]~P102(x50552)+E(x50551,f247(x50552))+~E(f329(f329(f106(x50552),x50551),x50553),f247(x50552))
% 191.26/191.47 [5123]~P79(x51232)+E(x51231,f329(f81(x51232),x51233))+~E(f329(f329(f82(x51232),x51231),x51233),f2(x51232))
% 191.26/191.47 [5124]~P79(x51241)+E(f329(f81(x51241),x51242),x51243)+~E(f329(f329(f82(x51241),x51242),x51243),f2(x51241))
% 191.26/191.47 [5126]~E(x51262,x51263)+~P111(x51261)+P1(f329(f329(f240(x51261),x51262),x51263))
% 191.26/191.47 [5128]~E(x51282,x51283)+~P114(x51281)+P1(f329(f329(f240(x51281),x51282),x51283))
% 191.26/191.47 [5228]~P123(x52281)+~E(x52282,f329(f81(x52281),x52283))+E(f329(f329(f83(x52281),x52282),x52282),f329(f329(f83(x52281),x52283),x52283))
% 191.26/191.47 [5236]~P112(x52361)+~P18(x52361,x52363)+P18(x52361,f329(f329(f178(x52361),x52362),x52363))
% 191.26/191.47 [5237]~P112(x52371)+~P18(x52371,x52373)+P18(x52371,f329(f329(f141(x52371),x52372),x52373))
% 191.26/191.47 [5276]E(x52761,x52762)+E(x52763,f2(a908))+~E(f329(f329(f83(a908),x52763),x52761),f329(f329(f83(a908),x52763),x52762))
% 191.26/191.47 [5277]E(x52771,x52772)+E(x52773,f2(a908))+~E(f329(f329(f83(a908),x52771),x52773),f329(f329(f83(a908),x52772),x52773))
% 191.26/191.47 [5354]~E(x53542,x53543)+~P114(x53541)+E(f305(x53541,x53542,x53543),f329(f329(f311(x53541),x53542),f191(f916(x53541,a903))))
% 191.26/191.47 [5403]~E(x54031,x54032)+~P112(x54033)+~P1(f329(f329(f241(x54033),x54031),x54032))
% 191.26/191.47 [5404]~E(x54041,x54042)+~P114(x54043)+~P1(f329(f329(f241(x54043),x54041),x54042))
% 191.26/191.47 [5416]~P114(x54161)+E(f329(f304(x54161,x54162),x54163),f191(f916(x54161,a903)))+P1(f329(f329(f241(x54161),x54162),x54163))
% 191.26/191.47 [5464]~P114(x54641)+E(f307(x54641,x54642,x54643),f191(f916(x54641,a903)))+P1(f329(f329(f241(x54641),x54642),x54643))
% 191.26/191.47 [5465]~P114(x54651)+E(f305(x54651,x54652,x54653),f191(f916(x54651,a903)))+P1(f329(f329(f240(x54651),x54652),x54653))
% 191.26/191.47 [5466]~P114(x54661)+E(f191(f916(x54661,a903)),f307(x54661,x54662,x54663))+P1(f329(f329(f241(x54661),x54662),x54663))
% 191.26/191.47 [5467]~P114(x54671)+E(f191(f916(x54671,a903)),f305(x54671,x54672,x54673))+P1(f329(f329(f240(x54671),x54672),x54673))
% 191.26/191.47 [5474]~P103(x54741)+~E(f329(f329(f115(x54741),x54742),x54743),x54743)+P1(f329(f329(f240(x54741),x54742),x54743))
% 191.26/191.47 [5475]~P104(x54751)+~E(f329(f329(f106(x54751),x54752),x54753),x54752)+P1(f329(f329(f240(x54751),x54752),x54753))
% 191.26/191.47 [5476]~P112(x54761)+~E(f329(f329(f238(x54761),x54762),x54763),x54762)+P1(f329(f329(f240(x54761),x54762),x54763))
% 191.26/191.47 [5477]~P112(x54771)+~E(f329(f329(f239(x54771),x54772),x54773),x54773)+P1(f329(f329(f240(x54771),x54772),x54773))
% 191.26/191.47 [5496]~P112(x54961)+P18(x54961,x54962)+~P18(x54961,f329(f329(f154(x54961),x54963),x54962))
% 191.26/191.47 [5497]~P112(x54971)+P18(x54971,x54972)+~P18(x54971,f329(f329(f137(x54971),x54973),x54972))
% 191.26/191.47 [5498]~P112(x54981)+P18(x54981,x54982)+~P18(x54981,f329(f329(f137(x54981),x54982),x54983))
% 191.26/191.47 [5561]~P112(x55611)+P1(f329(f329(f240(x55611),x55613),x55612))+P1(f329(f329(f240(x55611),x55612),x55613))
% 191.26/191.47 [5566]~P112(x55661)+P1(f329(f329(f241(x55661),x55663),x55662))+P1(f329(f329(f240(x55661),x55662),x55663))
% 191.26/191.47 [5604]~P103(x56041)+E(f329(f329(f115(x56041),x56042),x56043),x56042)+~P1(f329(f329(f240(x56041),x56043),x56042))
% 191.26/191.47 [5606]~P103(x56061)+E(f329(f329(f115(x56061),x56062),x56063),x56063)+~P1(f329(f329(f240(x56061),x56062),x56063))
% 191.26/191.47 [5607]~P104(x56071)+E(f329(f329(f106(x56071),x56072),x56073),x56073)+~P1(f329(f329(f240(x56071),x56073),x56072))
% 191.26/191.47 [5609]~P104(x56091)+E(f329(f329(f106(x56091),x56092),x56093),x56092)+~P1(f329(f329(f240(x56091),x56092),x56093))
% 191.26/191.47 [5610]~P112(x56101)+E(f329(f329(f238(x56101),x56102),x56103),x56103)+~P1(f329(f329(f240(x56101),x56103),x56102))
% 191.26/191.47 [5612]~P112(x56121)+E(f329(f329(f238(x56121),x56122),x56123),x56122)+~P1(f329(f329(f240(x56121),x56122),x56123))
% 191.26/191.47 [5613]~P112(x56131)+E(f329(f329(f239(x56131),x56132),x56133),x56132)+~P1(f329(f329(f240(x56131),x56133),x56132))
% 191.26/191.47 [5615]~P112(x56151)+E(f329(f329(f239(x56151),x56152),x56153),x56153)+~P1(f329(f329(f240(x56151),x56152),x56153))
% 191.26/191.47 [5622]~P124(x56222)+E(x56221,f2(x56222))+E(f329(f329(f292(x56222),f329(f81(x56222),x56223)),f329(f81(x56222),x56221)),f329(f329(f292(x56222),x56223),x56221))
% 191.26/191.47 [5673]~P114(x56731)+E(f329(f304(x56731,x56732),x56733),f191(f916(x56731,a903)))+~P1(f329(f329(f240(x56731),x56733),x56732))
% 191.26/191.47 [5706]~P114(x57061)+E(f308(x57061,x57062,x57063),f191(f916(x57061,a903)))+~P1(f329(f329(f240(x57061),x57063),x57062))
% 191.26/191.47 [5707]~P114(x57071)+E(f307(x57071,x57072,x57073),f191(f916(x57071,a903)))+~P1(f329(f329(f240(x57071),x57073),x57072))
% 191.26/191.47 [5708]~P114(x57081)+E(f305(x57081,x57082,x57083),f191(f916(x57081,a903)))+~P1(f329(f329(f241(x57081),x57083),x57082))
% 191.26/191.47 [5751]~P110(x57511)+~P1(f329(x57512,x57513))+P1(f329(f329(f240(x57511),f244(x57511,x57512)),x57513))
% 191.26/191.47 [5761]~E(f329(f329(f23(a908),x57611),x57613),x57612)+E(x57611,f329(f329(f82(a908),x57612),x57613))+~P1(f329(f329(f240(a908),x57613),x57611))
% 191.26/191.47 [5762]~E(x57621,f329(f329(f82(a908),x57623),x57622))+E(f329(f329(f23(a908),x57621),x57622),x57623)+~P1(f329(f329(f240(a908),x57622),x57621))
% 191.26/191.47 [5807]~P1(f329(x58071,x58073))+P1(f329(x58071,f394(x58071,x58072)))+~P1(f329(f329(f240(a908),x58073),x58072))
% 191.26/191.47 [5808]~P1(f329(x58081,x58083))+P1(f329(x58081,f396(x58081,x58082)))+~P1(f329(f329(f241(a908),x58083),x58082))
% 191.26/191.47 [5816]~P114(x58161)+~E(f329(f304(x58161,x58162),x58163),f191(f916(x58161,a903)))+~P1(f329(f329(f241(x58161),x58162),x58163))
% 191.26/191.47 [5821]~P111(x58211)+~P1(f329(f329(f241(x58211),x58212),x58213))+P1(f329(f329(f240(x58211),x58212),x58213))
% 191.26/191.47 [5823]~P114(x58231)+~P1(f329(f329(f241(x58231),x58232),x58233))+P1(f329(f329(f240(x58231),x58232),x58233))
% 191.26/191.47 [5930]~P114(x59301)+~E(f307(x59301,x59302,x59303),f191(f916(x59301,a903)))+~P1(f329(f329(f241(x59301),x59302),x59303))
% 191.26/191.47 [5931]~P114(x59311)+~E(f305(x59311,x59312,x59313),f191(f916(x59311,a903)))+~P1(f329(f329(f240(x59311),x59312),x59313))
% 191.26/191.47 [5932]~P114(x59321)+~E(f191(f916(x59321,a903)),f307(x59321,x59322,x59323))+~P1(f329(f329(f241(x59321),x59322),x59323))
% 191.26/191.47 [5933]~P114(x59331)+~E(f191(f916(x59331,a903)),f305(x59331,x59332,x59333))+~P1(f329(f329(f240(x59331),x59332),x59333))
% 191.26/191.47 [5946]P1(f329(x59461,x59462))+~P1(f329(x59461,f397(x59461,x59463)))+~P1(f329(f329(f240(a908),x59462),x59463))
% 191.26/191.47 [5947]P1(f329(x59471,x59472))+~P1(f329(x59471,f402(x59471,x59473)))+~P1(f329(f329(f241(a908),x59472),x59473))
% 191.26/191.47 [5955]~E(x59551,f329(a117,x59553))+P1(f329(f329(f241(a908),x59551),f329(a117,x59552)))+~P1(f329(f329(f241(a908),x59553),x59552))
% 191.26/191.47 [5973]E(x59731,x59732)+~E(f329(f329(f83(a908),x59733),x59731),f329(f329(f83(a908),x59733),x59732))+~P1(f329(f329(f241(a908),f2(a908)),x59733))
% 191.26/191.47 [6029]E(f329(x60291,f427(x60291,x60292,x60293)),f80(a908))+~E(f329(f329(f6(x60293,a908),x60291),x60292),f80(a908))+~P1(f329(f62(x60293),x60292))
% 191.26/191.47 [6044]~P10(x60441)+P1(f329(f329(f240(x60441),x60442),f38(x60441,x60443)))+~P1(f329(f329(f331(x60441),x60442),x60443))
% 191.26/191.47 [6068]~P111(x60681)+~P1(f329(f329(f241(x60681),x60683),x60682))+~P1(f329(f329(f240(x60681),x60682),x60683))
% 191.26/191.47 [6072]~P111(x60721)+~P1(f329(f329(f241(x60721),x60723),x60722))+~P1(f329(f329(f241(x60721),x60722),x60723))
% 191.26/191.47 [6075]~P112(x60751)+~P1(f329(f329(f241(x60751),x60753),x60752))+~P1(f329(f329(f240(x60751),x60752),x60753))
% 191.26/191.47 [6076]~P112(x60761)+~P1(f329(f329(f241(x60761),x60763),x60762))+~P1(f329(f329(f241(x60761),x60762),x60763))
% 191.26/191.47 [6077]~P114(x60771)+~P1(f329(f329(f241(x60771),x60773),x60772))+~P1(f329(f329(f241(x60771),x60772),x60773))
% 191.26/191.47 [6107]~E(f329(x61072,f876(x61072,x61073,x61071)),f80(a908))+E(f329(f329(f9(x61071,a908),x61072),x61073),f80(a908))+~P1(f329(f62(x61071),x61073))
% 191.26/191.47 [6108]~E(f329(x61082,f428(x61082,x61083,x61081)),f2(a908))+E(f329(f329(f6(x61081,a908),x61082),x61083),f2(a908))+~P1(f329(f62(x61081),x61083))
% 191.26/191.47 [6124]~P113(x61241)+~P1(f329(f329(f240(x61241),x61243),x61242))+P1(f329(f329(f331(x61241),x61242),f329(f286(x61241),x61243)))
% 191.26/191.47 [6125]~P113(x61251)+~P1(f329(f329(f241(x61251),x61253),x61252))+P1(f329(f329(f331(x61251),x61252),f329(f306(x61251),x61253)))
% 191.26/191.47 [6126]~P113(x61261)+~P1(f329(f329(f241(x61261),x61262),x61263))+P1(f329(f329(f331(x61261),x61262),f329(f285(x61261),x61263)))
% 191.26/191.47 [6127]~P113(x61271)+~P1(f329(f329(f240(x61271),x61272),x61273))+P1(f329(f329(f331(x61271),x61272),f329(f303(x61271),x61273)))
% 191.26/191.47 [6139]E(f329(x61391,f439(x61391,x61392,x61393)),f329(a117,f2(a908)))+~E(f329(f329(f6(x61393,a908),x61391),x61392),f329(a117,f2(a908)))+~P1(f329(f62(x61393),x61392))
% 191.26/191.47 [6224]~P10(x62241)+~P1(f329(f329(f331(x62241),x62243),x62242))+P1(f329(f329(f240(x62241),f39(x62241,x62242)),x62243))
% 191.26/191.47 [6244]~P1(f329(f329(f240(a908),x62441),x62443))+P1(f329(f329(f240(a908),x62441),x62442))+~P1(f329(f329(f240(a908),x62443),x62442))
% 191.26/191.47 [6245]~P1(f329(f329(f240(a1),x62451),x62453))+P1(f329(f329(f240(a1),x62451),x62452))+~P1(f329(f329(f240(a1),x62453),x62452))
% 191.26/191.47 [6264]~P113(x62641)+~P1(f329(f329(f331(x62641),x62643),f329(f286(x62641),x62642)))+P1(f329(f329(f240(x62641),x62642),x62643))
% 191.26/191.47 [6265]~P113(x62651)+~P1(f329(f329(f331(x62651),x62652),f329(f303(x62651),x62653)))+P1(f329(f329(f240(x62651),x62652),x62653))
% 191.26/191.47 [6266]~P113(x62661)+~P1(f329(f329(f331(x62661),x62663),f329(f306(x62661),x62662)))+P1(f329(f329(f241(x62661),x62662),x62663))
% 191.26/191.47 [6267]~P113(x62671)+~P1(f329(f329(f331(x62671),x62672),f329(f285(x62671),x62673)))+P1(f329(f329(f241(x62671),x62672),x62673))
% 191.26/191.47 [6341]~P1(f329(x63411,x63412))+P1(f329(x63411,f804(x63411)))+~P1(f329(f329(f331(x63413),x63412),f247(f916(x63413,a903))))
% 191.26/191.47 [6447]~P114(x64471)+~P46(a908,x64471,x64472)+P1(f329(f329(f240(x64471),f329(x64472,x64473)),f329(x64472,f329(a117,x64473))))
% 191.26/191.47 [6481]~P73(x64811)+P1(f329(f329(f241(x64811),f2(x64811)),f446(x64813,x64812,x64811)))+P1(f329(f329(f240(x64811),x64812),x64813))
% 191.26/191.47 [6482]~P74(x64821)+P1(f329(f329(f241(x64821),f2(x64821)),f794(x64823,x64822,x64821)))+P1(f329(f329(f240(x64821),x64822),x64823))
% 191.26/191.47 [6553]~P86(x65531)+~P1(f329(f329(f240(x65531),x65533),f329(f81(x65531),x65532)))+P1(f329(f329(f240(x65531),x65532),f329(f81(x65531),x65533)))
% 191.26/191.47 [6555]~P86(x65551)+~P1(f329(f329(f241(x65551),x65553),f329(f81(x65551),x65552)))+P1(f329(f329(f241(x65551),x65552),f329(f81(x65551),x65553)))
% 191.26/191.47 [6567]~P1(f329(f329(f241(a908),x65671),x65673))+~P1(f329(f329(f241(a908),x65673),x65672))+P1(f329(f329(f241(a908),f329(a117,x65671)),x65672))
% 191.26/191.47 [6592]~P127(x65921)+P1(f329(f329(f240(x65921),f329(f105(x65921),x65922)),f329(f105(x65921),x65923)))+~P1(f329(f329(f240(a908),x65922),x65923))
% 191.26/191.47 [6593]~P121(x65931)+P1(f329(f329(f240(x65931),f329(f107(x65931),x65932)),f329(f107(x65931),x65933)))+~P1(f329(f329(f240(a1),x65932),x65933))
% 191.26/191.47 [6595]~P121(x65951)+P1(f329(f329(f241(x65951),f329(f107(x65951),x65952)),f329(f107(x65951),x65953)))+~P1(f329(f329(f241(a1),x65952),x65953))
% 191.26/191.47 [6596]~P127(x65961)+P1(f329(f329(f241(x65961),f329(f105(x65961),x65962)),f329(f105(x65961),x65963)))+~P1(f329(f329(f241(a908),x65962),x65963))
% 191.26/191.47 [6602]~P112(x66021)+E(f329(f329(f115(f916(x66021,a903)),f329(f285(x66021),x66022)),f329(f304(x66021,x66022),x66023)),f329(f285(x66021),x66023))+~P1(f329(f329(f240(x66021),x66022),x66023))
% 191.26/191.47 [6634]~P86(x66341)+~P1(f329(f329(f240(x66341),x66343),x66342))+P1(f329(f329(f240(x66341),f329(f81(x66341),x66342)),f329(f81(x66341),x66343)))
% 191.26/191.47 [6636]~P98(x66361)+~P1(f329(f329(f240(x66361),x66363),x66362))+P1(f329(f329(f240(x66361),f329(f81(x66361),x66362)),f329(f81(x66361),x66363)))
% 191.26/191.47 [6637]~P86(x66371)+~P1(f329(f329(f241(x66371),x66373),x66372))+P1(f329(f329(f241(x66371),f329(f81(x66371),x66372)),f329(f81(x66371),x66373)))
% 191.26/191.47 [6670]~P112(x66701)+E(f329(f329(f115(f916(x66701,a903)),f329(f285(x66701),x66702)),f305(x66701,x66702,x66703)),f329(f303(x66701),x66703))+~P1(f329(f329(f240(x66701),x66702),x66703))
% 191.26/191.47 [6671]~P112(x66711)+E(f329(f329(f115(f916(x66711,a903)),f329(f303(x66711),x66712)),f308(x66711,x66712,x66713)),f329(f285(x66711),x66713))+~P1(f329(f329(f241(x66711),x66712),x66713))
% 191.26/191.47 [6672]~P112(x66721)+E(f329(f329(f115(f916(x66721,a903)),f329(f303(x66721),x66722)),f307(x66721,x66722,x66723)),f329(f303(x66721),x66723))+~P1(f329(f329(f240(x66721),x66722),x66723))
% 191.26/191.47 [6708]~P112(x67081)+E(f329(f329(f115(f916(x67081,a903)),f329(f304(x67081,x67082),x67083)),f329(f286(x67081),x67083)),f329(f286(x67081),x67082))+~P1(f329(f329(f240(x67081),x67082),x67083))
% 191.26/191.47 [6774]~P10(x67741)+~P1(f329(f329(f240(x67741),f329(x67742,x67743)),x67743))+P1(f329(f329(f240(x67741),f100(x67741,x67742)),x67743))
% 191.26/191.47 [6860]~P112(x68601)+E(f329(f329(f115(f916(x68601,a903)),f308(x68601,x68602,x68603)),f329(f286(x68601),x68603)),f329(f306(x68601),x68602))+~P1(f329(f329(f241(x68601),x68602),x68603))
% 191.26/191.47 [6861]~P112(x68611)+E(f329(f329(f115(f916(x68611,a903)),f307(x68611,x68612,x68613)),f329(f306(x68611),x68613)),f329(f306(x68611),x68612))+~P1(f329(f329(f240(x68611),x68612),x68613))
% 191.26/191.47 [6862]~P112(x68621)+E(f329(f329(f115(f916(x68621,a903)),f305(x68621,x68622,x68623)),f329(f306(x68621),x68623)),f329(f286(x68621),x68622))+~P1(f329(f329(f240(x68621),x68622),x68623))
% 191.26/191.47 [6881]P1(f329(x68811,x68812))+~P1(f329(f329(f240(a908),x68812),x68813))+P1(f329(f329(f331(a908),f397(x68811,x68813)),f305(a908,f2(a908),x68813)))
% 191.26/191.47 [6915]E(x69151,x69152)+~E(f329(f329(f167(x69153),x69151),f660(x69153,x69152,x69151)),f329(f329(f167(x69153),x69152),f660(x69153,x69152,x69151)))+~E(f329(f192(f909(x69153)),x69151),f329(f192(f909(x69153)),x69152))
% 191.26/191.47 [6920]~E(x69203,f329(f329(f37(a908),x69201),x69202))+~P1(f329(f329(f241(a908),f2(a908)),x69202))+P1(f329(f329(f241(a908),x69201),f329(f329(f83(a908),x69202),f329(a117,x69203))))
% 191.26/191.47 [6936]~P1(f329(x69361,x69363))+~P1(f329(f329(f240(a908),x69363),x69362))+P1(f329(f329(f331(a908),f394(x69361,x69362)),f305(a908,f2(a908),x69362)))
% 191.26/191.47 [6973]~P1(f329(x69731,x69733))+P1(f329(x69731,f398(x69731,x69732)))+~P1(f329(f329(f331(a908),x69733),f305(a908,f2(a908),x69732)))
% 191.26/191.47 [6991]~P127(x69913)+~P1(f329(f329(f240(x69913),f329(f105(x69913),x69911)),f329(f105(x69913),x69912)))+P1(f329(f329(f240(a908),x69911),x69912))
% 191.26/191.47 [6992]~P121(x69923)+~P1(f329(f329(f240(x69923),f329(f107(x69923),x69921)),f329(f107(x69923),x69922)))+P1(f329(f329(f240(a1),x69921),x69922))
% 191.26/191.47 [6994]~P127(x69943)+~P1(f329(f329(f241(x69943),f329(f105(x69943),x69941)),f329(f105(x69943),x69942)))+P1(f329(f329(f241(a908),x69941),x69942))
% 191.26/191.47 [6995]~P121(x69953)+~P1(f329(f329(f241(x69953),f329(f107(x69953),x69951)),f329(f107(x69953),x69952)))+P1(f329(f329(f241(a1),x69951),x69952))
% 191.26/191.47 [7012]~P127(x70121)+~P1(f329(f329(f241(x70121),f80(x70121)),x70122))+P1(f329(f329(f241(x70121),f80(x70121)),f329(f329(f249(x70121),x70122),f329(a117,x70123))))
% 191.26/191.47 [7014]~P86(x70141)+~P1(f329(f329(f240(x70141),f329(f81(x70141),x70143)),f329(f81(x70141),x70142)))+P1(f329(f329(f240(x70141),x70142),x70143))
% 191.26/191.47 [7015]~P98(x70151)+~P1(f329(f329(f240(x70151),f329(f81(x70151),x70153)),f329(f81(x70151),x70152)))+P1(f329(f329(f240(x70151),x70152),x70153))
% 191.26/191.47 [7016]~P86(x70161)+~P1(f329(f329(f241(x70161),f329(f81(x70161),x70163)),f329(f81(x70161),x70162)))+P1(f329(f329(f241(x70161),x70162),x70163))
% 191.26/191.47 [7042]P1(f329(x70421,x70422))+~P1(f329(x70421,f399(x70421,x70423)))+~P1(f329(f329(f331(a908),x70422),f305(a908,f2(a908),x70423)))
% 191.26/191.47 [7061]~P73(x70611)+P1(f329(f329(f241(x70611),f446(x70613,x70612,x70611)),f80(x70611)))+P1(f329(f329(f240(x70611),x70612),x70613))
% 191.26/191.47 [7081]~E(f46(a908,x70813,x70812),f46(a908,x70811,x70812))+E(f329(f329(f82(a908),x70811),f329(f329(f83(a908),x70812),f569(x70811,x70812,x70813))),x70813)+~P1(f329(f329(f240(a908),x70811),x70813))
% 191.26/191.47 [7135]E(f329(f329(f9(x71351,a908),x71352),x71353),f80(a908))+~P1(f329(f62(x71351),x71353))+P1(f329(f329(f331(x71351),f876(x71352,x71353,x71351)),x71353))
% 191.26/191.47 [7136]E(f329(f329(f6(x71361,a908),x71362),x71363),f2(a908))+~P1(f329(f62(x71361),x71363))+P1(f329(f329(f331(x71361),f428(x71362,x71363,x71361)),x71363))
% 191.26/191.47 [7158]~P112(x71581)+~P1(f329(f329(f240(x71581),x71582),x71583))+P1(f329(f329(f240(f916(x71581,a903)),f329(f285(x71581),x71582)),f329(f285(x71581),x71583)))
% 191.26/191.47 [7159]~P114(x71591)+~P1(f329(f329(f240(x71591),x71592),x71593))+P1(f329(f329(f240(f916(x71591,a903)),f329(f303(x71591),x71592)),f329(f303(x71591),x71593)))
% 191.26/191.47 [7160]~P114(x71601)+~P1(f329(f329(f240(x71601),x71603),x71602))+P1(f329(f329(f240(f916(x71601,a903)),f329(f286(x71601),x71602)),f329(f286(x71601),x71603)))
% 191.26/191.47 [7161]~P112(x71611)+~P1(f329(f329(f240(x71611),x71613),x71612))+P1(f329(f329(f240(f916(x71611,a903)),f329(f306(x71611),x71612)),f329(f306(x71611),x71613)))
% 191.26/191.47 [7162]~P112(x71621)+~P1(f329(f329(f241(x71621),x71622),x71623))+P1(f329(f329(f241(f916(x71621,a903)),f329(f285(x71621),x71622)),f329(f285(x71621),x71623)))
% 191.26/191.47 [7173]~P10(x71731)+P1(f329(f329(f240(x71731),x71732),f39(x71731,x71733)))+P1(f329(f329(f331(x71731),f637(x71733,x71732,x71731)),x71733))
% 191.26/191.47 [7179]~P86(x71791)+P1(f329(f329(f240(x71791),f329(f329(f23(x71791),x71792),x71793)),f2(x71791)))+~P1(f329(f329(f240(x71791),x71792),x71793))
% 191.26/191.47 [7180]~P86(x71801)+P1(f329(f329(f241(x71801),f329(f329(f23(x71801),x71802),x71803)),f2(x71801)))+~P1(f329(f329(f241(x71801),x71802),x71803))
% 191.26/191.47 [7222]P1(f329(x72221,x72222))+P1(f329(f329(f240(a908),f399(x72221,x72223)),x72223))+~P1(f329(f329(f331(a908),x72222),f305(a908,f2(a908),x72223)))
% 191.26/191.47 [7262]~E(f329(f329(f6(x72621,a908),x72622),x72623),f80(a908))+~P1(f329(f62(x72621),x72623))+P1(f329(f329(f331(x72621),f427(x72622,x72623,x72621)),x72623))
% 191.26/191.47 [7263]~P1(f329(x72631,x72633))+P1(f329(f329(f240(a908),f398(x72631,x72632)),x72632))+~P1(f329(f329(f331(a908),x72633),f305(a908,f2(a908),x72632)))
% 191.26/191.47 [7303]~P10(x73031)+P1(f329(f329(f331(x73031),f638(x73033,x73032,x73031)),x73032))+P1(f329(f329(f240(x73031),f38(x73031,x73032)),x73033))
% 191.26/191.47 [7337]~E(f329(f329(f6(x73371,a908),x73372),x73373),f329(a117,f2(a908)))+~P1(f329(f62(x73371),x73373))+P1(f329(f329(f331(x73371),f439(x73372,x73373,x73371)),x73373))
% 191.26/191.47 [7348]E(x73481,f2(a908))+P1(f329(x73482,f46(a908,x73483,x73481)))+P1(f329(f329(f241(a908),f343(x73481,x73483,x73482)),x73481))
% 191.26/191.47 [7466]~P1(f329(x74661,x74662))+P1(f329(x74661,f46(a908,x74662,x74663)))+P1(f329(f329(f241(a908),f343(x74663,x74662,x74661)),x74663))
% 191.26/191.47 [7585]E(x75851,f118(x75852))+~P1(f329(f329(f331(f909(x75852)),x75851),f164(x75852,x75853)))+P1(f329(f329(f331(x75852),f714(x75853,x75851,x75852)),x75853))
% 191.26/191.47 [7607]~P112(x76071)+E(f329(f329(f115(f916(x76071,a903)),f329(f329(f311(x76071),x76072),f191(f916(x76071,a903)))),f308(x76071,x76072,x76073)),f329(f304(x76071,x76072),x76073))+~P1(f329(f329(f241(x76071),x76072),x76073))
% 191.26/191.47 [7630]~P112(x76301)+E(f329(f329(f115(f916(x76301,a903)),f329(f329(f311(x76301),x76302),f191(f916(x76301,a903)))),f307(x76301,x76302,x76303)),f305(x76301,x76302,x76303))+~P1(f329(f329(f240(x76301),x76302),x76303))
% 191.26/191.47 [7736]~P112(x77361)+P1(f329(f329(f240(x77361),x77362),x77363))+~P1(f329(f329(f240(f916(x77361,a903)),f329(f306(x77361),x77363)),f329(f306(x77361),x77362)))
% 191.26/191.47 [7737]~P114(x77371)+P1(f329(f329(f240(x77371),x77372),x77373))+~P1(f329(f329(f240(f916(x77371,a903)),f329(f286(x77371),x77373)),f329(f286(x77371),x77372)))
% 191.26/191.47 [7738]~P112(x77381)+P1(f329(f329(f240(x77381),x77382),x77383))+~P1(f329(f329(f240(f916(x77381,a903)),f329(f285(x77381),x77382)),f329(f285(x77381),x77383)))
% 191.26/191.47 [7739]~P114(x77391)+P1(f329(f329(f240(x77391),x77392),x77393))+~P1(f329(f329(f240(f916(x77391,a903)),f329(f303(x77391),x77392)),f329(f303(x77391),x77393)))
% 191.26/191.47 [7740]~P112(x77401)+P1(f329(f329(f241(x77401),x77402),x77403))+~P1(f329(f329(f241(f916(x77401,a903)),f329(f285(x77401),x77402)),f329(f285(x77401),x77403)))
% 191.26/191.47 [7764]~P86(x77641)+~P1(f329(f329(f240(x77641),f329(f329(f23(x77641),x77642),x77643)),f2(x77641)))+P1(f329(f329(f240(x77641),x77642),x77643))
% 191.26/191.47 [7765]~P86(x77651)+~P1(f329(f329(f241(x77651),f329(f329(f23(x77651),x77652),x77653)),f2(x77651)))+P1(f329(f329(f241(x77651),x77652),x77653))
% 191.26/191.47 [7929]E(x79291,f2(a908))+~E(f329(f145(a908,a908,f82(a908),x79292),x79293),f2(a908))+~P1(f329(f329(f331(a908),x79291),f329(f175(a908),x79293)))
% 191.26/191.47 [7933]~P10(x79331)+~P1(f329(f329(f240(x79331),f638(x79333,x79332,x79331)),x79333))+P1(f329(f329(f240(x79331),f38(x79331,x79332)),x79333))
% 191.26/191.47 [8087]P1(f329(f329(f240(a1),f2(a1)),f898(x80871,x80872,x80873)))+P1(f329(f329(x80872,f329(f329(f37(a1),x80871),x80873)),f46(a1,x80871,x80873)))+~P1(f329(f329(f241(a1),f2(a1)),x80873))
% 191.26/191.47 [8185]E(x81851,x81852)+~E(f329(f192(f909(x81853)),x81851),f329(f192(f909(x81853)),x81852))+~P1(f329(f329(f262(x81853,x81853,a903),a326),f688(x81853,x81851,x81852)))
% 191.26/191.47 [8256]~P43(x82562,x82563)+E(x82561,f191(f916(x82562,a903)))+~P1(f329(f329(f240(f916(x82562,a903)),x82561),f329(f288(x82562,x82562,x82563),x82561)))
% 191.26/191.47 [8284]~P74(x82841)+~P1(f329(f329(f240(x82841),x82842),f329(f329(f82(x82841),x82843),f794(x82843,x82842,x82841))))+P1(f329(f329(f240(x82841),x82842),x82843))
% 191.26/191.47 [8320]P60(x83201,x83202,x83203)+P1(f329(f329(f331(x83201),f474(x83203,x83202,x83201)),x83202))+P1(f329(f329(f331(f915(x83201,x83201)),f475(x83203,x83202,x83201)),x83203))
% 191.26/191.47 [8342]P1(f329(f329(x83422,f329(f329(f37(a1),x83421),x83423)),f46(a1,x83421,x83423)))+~P1(f329(f329(f241(a1),f2(a1)),x83423))+P1(f329(f329(f241(a1),f898(x83421,x83422,x83423)),x83423))
% 191.26/191.47 [8366]E(f329(f312(a908,a908,f329(f329(f7(a908,a908,a908),f23(a908)),x83661)),f329(f304(a908,x83662),x83663)),f191(f916(a908,a903)))+P1(f329(f329(f241(a908),x83661),x83663))+P1(f329(f329(f241(a908),x83662),x83663))
% 191.26/191.47 [8477]E(f329(f312(a908,a908,f329(f329(f7(a908,a908,a908),f23(a908)),x84771)),f329(f304(a908,x84772),x84773)),f329(f329(f311(a908),f2(a908)),f191(f916(a908,a903))))+P1(f329(f329(f241(a908),x84771),x84773))+~P1(f329(f329(f241(a908),x84772),x84773))
% 191.26/191.47 [8491]~P112(x84911)+E(f152(x84911,x84911,f5(x84911),x84912,x84913),x84913)+~P1(f329(f329(f331(x84911),x84912),f329(f175(x84911),x84913)))
% 191.26/191.47 [8505]P30(x85051,x85051,x85052,x85053)+~P1(f329(f62(x85051),x85053))+~P1(f329(f329(f240(f916(x85051,a903)),x85053),f329(f312(x85051,x85051,x85052),x85053)))
% 191.26/191.47 [8530]E(f329(f329(f82(a1),f329(f329(f83(a1),x85301),f899(x85302,x85303,x85301))),f898(x85302,x85303,x85301)),x85302)+P1(f329(f329(x85303,f329(f329(f37(a1),x85302),x85301)),f46(a1,x85302,x85301)))+~P1(f329(f329(f241(a1),f2(a1)),x85301))
% 191.26/191.47 [8777]~P1(f329(f329(x87771,f899(x87772,x87771,x87773)),f898(x87772,x87771,x87773)))+P1(f329(f329(x87771,f329(f329(f37(a1),x87772),x87773)),f46(a1,x87772,x87773)))+~P1(f329(f329(f241(a1),f2(a1)),x87773))
% 191.26/191.47 [9658]~P1(f329(f62(x96581),x96582))+~P1(f329(f329(f331(x96581),x96583),x96582))+P1(f329(f329(f241(a908),f329(f36(x96581),f329(f329(f23(f916(x96581,a903)),x96582),f329(f329(f311(x96581),x96583),f191(f916(x96581,a903)))))),f329(f36(x96581),x96582)))
% 191.26/191.47 [10248]P60(x102481,x102482,x102483)+~P1(f329(f329(f262(x102481,x102481,a903),f329(f329(f7(x102481,f916(x102481,a903),f916(x102481,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x102481,a903),f916(x102481,a903)),x102481),f8(a903,a903,x102481)),f329(f329(f8(a903,f916(a903,a903),x102481),a327),f329(f329(f7(x102481,f916(x102481,a903),a903),f331(x102481)),x102482)))),f329(f329(f7(x102481,f916(x102481,a903),a903),f331(x102481)),x102482))),f475(x102483,x102482,x102481)))+P1(f329(f329(f331(x102481),f474(x102483,x102482,x102481)),x102482))
% 191.26/191.47 [5583]~P124(x55832)+E(x55831,f2(x55832))+E(f329(f329(f292(x55832),x55833),f329(f81(x55832),x55831)),f329(f81(x55832),f329(f329(f292(x55832),x55833),x55831)))
% 191.26/191.47 [5722]~E(x57223,f191(f916(x57221,a903)))+~E(x57222,f191(f916(x57221,a903)))+E(f329(f329(f115(f916(x57221,a903)),x57222),x57223),f191(f916(x57221,a903)))
% 191.26/191.47 [5781]~E(x57813,f2(a908))+~P1(f329(x57811,f2(a908)))+P1(f329(x57811,f329(f329(f37(a908),x57812),x57813)))
% 191.26/191.47 [5922]~P74(x59222)+E(x59221,f2(x59222))+E(f329(f329(f292(x59222),f329(f77(x59222),x59223)),f329(f77(x59222),x59221)),f329(f77(x59222),f329(f329(f292(x59222),x59223),x59221)))
% 191.26/191.47 [6094]~P1(f329(f62(x60941),x60943))+E(f329(f36(x60941),f329(f329(f311(x60941),x60942),x60943)),f329(a117,f329(f36(x60941),x60943)))+P1(f329(f329(f331(x60941),x60942),x60943))
% 191.26/191.47 [6172]~E(x61722,f2(a908))+P1(f329(x61721,f2(a908)))+~P1(f329(x61721,f329(f329(f37(a908),x61723),x61722)))
% 191.26/191.47 [6189]~P1(f329(f62(x61891),x61893))+E(f329(f36(x61891),f329(f329(f311(x61891),x61892),x61893)),f329(f36(x61891),x61893))+~P1(f329(f329(f331(x61891),x61892),x61893))
% 191.26/191.47 [6226]~P1(f329(f62(x62261),x62263))+E(f329(f36(x62261),f329(f329(f311(x62261),x62262),x62263)),f329(f329(f82(a908),f80(a908)),f329(f36(x62261),x62263)))+P1(f329(f329(f331(x62261),x62262),x62263))
% 191.26/191.47 [6342]E(f329(f329(f82(a908),x63421),f867(x63421,x63422,x63423)),x63422)+~P1(f329(x63423,f2(a908)))+P1(f329(x63423,f329(f329(f23(a908),x63422),x63421)))
% 191.26/191.47 [6343]E(f329(f329(f82(a908),x63431),f868(x63431,x63432,x63433)),x63432)+~P1(f329(x63433,f2(a908)))+P1(f329(x63433,f329(f329(f23(a908),x63432),x63431)))
% 191.26/191.47 [6389]~P10(x63891)+~P1(f329(f62(x63891),x63893))+E(f329(f329(f65(x63891,x63891,f115(x63891)),x63892),x63893),f329(f329(f115(x63891),x63892),f38(x63891,x63893)))
% 191.26/191.47 [6390]~P10(x63901)+~P1(f329(f62(x63901),x63903))+E(f329(f329(f65(x63901,x63901,f106(x63901)),x63902),x63903),f329(f329(f106(x63901),x63902),f39(x63901,x63903)))
% 191.26/191.47 [6396]~P97(x63961)+~E(f329(f108(x63961),x63962),f329(f108(x63961),x63963))+P35(x63961,f329(f108(x63961),f329(f329(f82(a1),x63962),f329(f81(a1),x63963))))
% 191.26/191.47 [6405]~P120(x64051)+E(f329(f329(f23(x64051),f329(f105(x64051),x64052)),f329(f105(x64051),x64053)),f329(f105(x64051),f329(f329(f23(a908),x64052),x64053)))+~P1(f329(f329(f240(a908),x64053),x64052))
% 191.26/191.47 [6492]E(f329(f329(f82(a908),x64921),f867(x64921,x64922,x64923)),x64922)+P1(f329(f329(f241(a908),x64922),x64921))+P1(f329(x64923,f329(f329(f23(a908),x64922),x64921)))
% 191.26/191.47 [6493]E(f329(f329(f82(a908),x64931),f868(x64931,x64932,x64933)),x64932)+P1(f329(f329(f241(a908),x64932),x64931))+P1(f329(x64933,f329(f329(f23(a908),x64932),x64931)))
% 191.26/191.47 [6511]~P121(x65111)+E(f329(f329(f83(x65111),f329(f77(x65111),x65112)),x65113),f329(f77(x65111),f329(f329(f83(x65111),x65112),x65113)))+~P1(f329(f329(f240(x65111),f2(x65111)),x65113))
% 191.26/191.47 [6512]~P73(x65121)+E(f329(f329(f292(x65121),f329(f77(x65121),x65122)),x65123),f329(f77(x65121),f329(f329(f292(x65121),x65122),x65123)))+~P1(f329(f329(f241(x65121),f2(x65121)),x65123))
% 191.26/191.47 [6520]~P2(x65201)+~P1(f329(f62(x65201),x65203))+E(f329(f329(f65(x65201,x65201,f106(x65201)),x65202),x65203),f10(x65201,f329(f329(f311(x65201),x65202),x65203)))
% 191.26/191.47 [6521]~P2(x65211)+~P1(f329(f62(x65211),x65213))+E(f329(f329(f65(x65211,x65211,f115(x65211)),x65212),x65213),f13(x65211,f329(f329(f311(x65211),x65212),x65213)))
% 191.26/191.47 [6522]~P112(x65221)+~P1(f329(f62(x65221),x65223))+E(f329(f329(f65(x65221,x65221,f238(x65221)),x65222),x65223),f14(x65221,f329(f329(f311(x65221),x65222),x65223)))
% 191.26/191.47 [6523]~P112(x65231)+~P1(f329(f62(x65231),x65233))+E(f329(f329(f65(x65231,x65231,f239(x65231)),x65232),x65233),f15(x65231,f329(f329(f311(x65231),x65232),x65233)))
% 191.26/191.47 [6569]E(x65691,f118(x65692))+~E(f182(x65692,x65693),f118(f909(x65692)))+~P1(f329(f329(f331(f909(x65692)),x65691),f329(f175(f909(x65692)),x65693)))
% 191.26/191.47 [6612]~P1(f329(f140(x66121),x66123))+P1(f329(f329(f331(x66121),x66122),f329(f175(x66121),x66123)))+P1(f329(f140(x66121),f329(f329(f154(x66121),x66122),x66123)))
% 191.26/191.47 [6623]~P99(x66231)+~P1(f329(f62(x66231),x66233))+E(f329(f64(x66231,f83(x66231)),f329(f329(f311(x66231),x66232),x66233)),f329(f329(f65(x66231,x66231,f83(x66231)),x66232),x66233))
% 191.26/191.47 [6645]~P112(x66451)+~P1(f329(f62(x66451),x66453))+E(f11(x66451,f238(x66451),f329(f329(f311(x66451),x66452),x66453)),f329(f329(f65(x66451,x66451,f238(x66451)),x66452),x66453))
% 191.26/191.47 [6646]~P112(x66461)+~P1(f329(f62(x66461),x66463))+E(f12(x66461,f239(x66461),f329(f329(f311(x66461),x66462),x66463)),f329(f329(f65(x66461,x66461,f239(x66461)),x66462),x66463))
% 191.26/191.47 [6648]P1(f329(x66481,f2(a908)))+~P1(f329(f329(f241(a908),x66482),x66483))+~P1(f329(x66481,f329(f329(f23(a908),x66482),x66483)))
% 191.26/191.47 [6668]~P89(x66681)+P1(f329(f329(f240(x66681),x66682),x66683))+~P1(f329(f329(f240(x66681),f329(f77(x66681),x66682)),x66683))
% 191.26/191.47 [6669]~P121(x66691)+P1(f329(f329(f241(x66691),x66692),x66693))+~P1(f329(f329(f241(x66691),f329(f77(x66691),x66692)),x66693))
% 191.26/191.47 [6687]E(x66871,f118(x66872))+E(f329(f144(x66872),f329(f329(f141(x66872),x66873),x66871)),f329(f329(f167(x66872),x66871),x66873))+~P1(f329(f329(f241(a908),x66873),f329(f192(f909(x66872)),x66871)))
% 191.26/191.47 [6739]~P1(f329(x67391,x67393))+P1(f329(x67391,f400(x67391,x67392)))+~P1(f329(f329(f331(a908),x67393),f329(f304(a908,f2(a908)),x67392)))
% 191.26/191.47 [6759]P1(f329(x67591,x67592))+~P1(f329(f329(f241(a908),x67592),x67593))+P1(f329(f329(f331(a908),f402(x67591,x67593)),f329(f304(a908,f2(a908)),x67593)))
% 191.26/191.47 [6776]~P127(x67761)+~P1(f329(f329(f240(x67761),f2(x67761)),x67762))+P1(f329(f329(f240(x67761),f2(x67761)),f329(f329(f249(x67761),x67762),x67763)))
% 191.26/191.47 [6777]~P127(x67771)+~P1(f329(f329(f240(x67771),f80(x67771)),x67772))+P1(f329(f329(f240(x67771),f80(x67771)),f329(f329(f249(x67771),x67772),x67773)))
% 191.26/191.47 [6779]~P127(x67791)+~P1(f329(f329(f241(x67791),f2(x67791)),x67792))+P1(f329(f329(f241(x67791),f2(x67791)),f329(f329(f249(x67791),x67792),x67793)))
% 191.26/191.47 [6803]~P1(f329(x68031,x68033))+~P1(f329(f329(f241(a908),x68033),x68032))+P1(f329(f329(f331(a908),f396(x68031,x68032)),f329(f304(a908,f2(a908)),x68032)))
% 191.26/191.47 [6812]P1(f329(f62(x68121),x68122))+~P1(f329(f62(x68121),x68123))+~P1(f329(f329(f240(f916(x68121,a903)),x68122),x68123))
% 191.26/191.47 [6819]P1(f329(x68191,x68192))+~P1(f329(x68191,f403(x68191,x68193)))+~P1(f329(f329(f331(a908),x68192),f329(f304(a908,f2(a908)),x68193)))
% 191.26/191.47 [6830]E(x68301,f2(a908))+P1(f329(x68302,f886(x68301,x68303,x68302)))+~P1(f329(x68302,f329(f329(f37(a908),x68303),x68301)))
% 191.26/191.47 [6837]~P129(x68372)+E(x68371,f2(x68372))+~E(f329(f329(f82(x68372),f329(f329(f83(x68372),x68373),x68373)),f329(f329(f83(x68372),x68371),x68371)),f2(x68372))
% 191.26/191.47 [6838]~P129(x68382)+E(x68381,f2(x68382))+~E(f329(f329(f82(x68382),f329(f329(f83(x68382),x68381),x68381)),f329(f329(f83(x68382),x68383),x68383)),f2(x68382))
% 191.26/191.47 [6882]E(x68821,f2(a908))+~P1(f329(x68822,f887(x68821,x68823,x68822)))+P1(f329(x68822,f329(f329(f37(a908),x68823),x68821)))
% 191.26/191.47 [6887]~P112(x68871)+~P18(x68871,x68873)+P18(x68871,f329(f329(f151(x68871,x68871,f5(x68871)),x68872),x68873))
% 191.26/191.47 [6929]P1(f329(x69291,f886(x69292,x69293,x69291)))+P1(f329(x69291,f2(a908)))+~P1(f329(x69291,f329(f329(f37(a908),x69293),x69292)))
% 191.26/191.47 [6935]~P97(x69351)+E(f329(f108(x69351),x69352),f329(f108(x69351),x69353))+~P35(x69351,f329(f108(x69351),f329(f329(f82(a1),x69352),f329(f81(a1),x69353))))
% 191.26/191.47 [6998]E(x69981,f2(a1))+E(x69982,f2(a1))+~P1(f329(f50(x69982,x69982),f329(f329(f257(a1,a1),x69983),x69981)))
% 191.26/191.47 [6999]E(x69991,f80(a1))+E(x69992,f2(a1))+~P1(f329(f50(x69992,x69992),f329(f329(f257(a1,a1),x69991),x69993)))
% 191.26/191.47 [7013]P1(f329(x70131,x70132))+P1(f329(f329(f241(a908),f403(x70131,x70133)),x70133))+~P1(f329(f329(f331(a908),x70132),f329(f304(a908,f2(a908)),x70133)))
% 191.26/191.47 [7038]~P1(f329(x70381,f867(x70383,x70382,x70381)))+~P1(f329(x70381,f2(a908)))+P1(f329(x70381,f329(f329(f23(a908),x70382),x70383)))
% 191.26/191.47 [7039]~P1(f329(x70391,f868(x70393,x70392,x70391)))+~P1(f329(x70391,f2(a908)))+P1(f329(x70391,f329(f329(f23(a908),x70392),x70393)))
% 191.26/191.47 [7040]~P1(f329(x70401,f887(x70403,x70402,x70401)))+~P1(f329(x70401,f2(a908)))+P1(f329(x70401,f329(f329(f37(a908),x70402),x70403)))
% 191.26/191.47 [7057]~P1(f329(x70571,x70573))+P1(f329(f329(f241(a908),f400(x70571,x70572)),x70572))+~P1(f329(f329(f331(a908),x70573),f329(f304(a908,f2(a908)),x70572)))
% 191.26/191.47 [7058]E(f329(f329(f23(a908),f329(f329(f23(a908),x70581),x70582)),f329(f329(f23(a908),x70583),x70582)),f329(f329(f23(a908),x70581),x70583))+~P1(f329(f329(f240(a908),x70582),x70581))+~P1(f329(f329(f240(a908),x70582),x70583))
% 191.26/191.47 [7094]~P86(x70941)+~P1(f329(f329(f240(x70941),f329(f81(x70941),x70943)),x70942))+P1(f329(f329(f240(x70941),f329(f81(x70941),x70942)),x70943))
% 191.26/191.47 [7096]~P89(x70961)+~P1(f329(f329(f240(x70961),f329(f77(x70961),x70962)),x70963))+P1(f329(f329(f240(x70961),f329(f81(x70961),x70962)),x70963))
% 191.26/191.47 [7098]~P86(x70981)+~P1(f329(f329(f241(x70981),f329(f81(x70981),x70983)),x70982))+P1(f329(f329(f241(x70981),f329(f81(x70981),x70982)),x70983))
% 191.26/191.47 [7099]~P121(x70991)+~P1(f329(f329(f241(x70991),f329(f77(x70991),x70992)),x70993))+P1(f329(f329(f241(x70991),f329(f81(x70991),x70992)),x70993))
% 191.26/191.47 [7131]~P1(f329(x71313,f867(x71312,x71311,x71313)))+P1(f329(f329(f241(a908),x71311),x71312))+P1(f329(x71313,f329(f329(f23(a908),x71311),x71312)))
% 191.26/191.47 [7132]~P1(f329(x71323,f868(x71322,x71321,x71323)))+P1(f329(f329(f241(a908),x71321),x71322))+P1(f329(x71323,f329(f329(f23(a908),x71321),x71322)))
% 191.26/191.47 [7183]~E(f645(x71833,x71832,x71831),f646(x71833,x71832,x71831))+E(f329(f329(f106(f916(x71831,a903)),x71832),f38(f916(x71831,a903),x71833)),f191(f916(x71831,a903)))+P1(f329(f329(f331(f916(x71831,a903)),x71832),x71833))
% 191.26/191.47 [7191]~P1(f329(f62(x71911),x71913))+P1(f329(f62(x71911),f39(f916(x71911,a903),x71912)))+~P1(f329(f329(f331(f916(x71911,a903)),x71913),x71912))
% 191.26/191.47 [7251]~P112(x72511)+E(f329(f329(f115(f916(x72511,a903)),f329(f304(x72511,x72512),x72513)),f329(f329(f311(x72511),x72513),f191(f916(x72511,a903)))),f305(x72511,x72512,x72513))+~P1(f329(f329(f240(x72511),x72512),x72513))
% 191.26/191.47 [7252]E(x72521,f2(a908))+P1(f329(f329(f241(a908),f896(x72521,x72523,x72522)),x72521))+P1(f329(x72522,f329(f329(f37(a908),x72523),x72521)))
% 191.26/191.47 [7281]P1(f329(f329(f241(a908),f329(f192(f909(x72811)),x72812)),f806(x72813,x72811)))+~P1(f329(f62(f909(x72811)),x72813))+~P1(f329(f329(f331(f909(x72811)),x72812),x72813))
% 191.26/191.47 [7287]E(x72871,x72872)+~P1(f329(f329(f240(f916(x72873,a903)),x72871),x72872))+P1(f329(f329(f241(f916(x72873,a903)),x72871),x72872))
% 191.26/191.47 [7300]E(x73001,x73002)+~E(f329(f192(f909(x73003)),x73001),f329(f192(f909(x73003)),x73002))+P1(f329(f329(f241(a908),f660(x73003,x73001,x73002)),f329(f192(f909(x73003)),x73002)))
% 191.26/191.47 [7349]P13(x73491,x73492,x73493)+~E(f329(f269(x73491,x73491),x73493),x73492)+~E(f329(f329(f291(x73491,x73491,x73491),f329(f289(x73491,x73491),x73493)),x73493),x73493)
% 191.26/191.47 [7431]~P1(f329(x74311,f2(a908)))+P1(f329(f329(f241(a908),f896(x74313,x74312,x74311)),x74313))+P1(f329(x74311,f329(f329(f37(a908),x74312),x74313)))
% 191.26/191.47 [7443]~P112(x74431)+E(f329(f329(f115(f916(x74431,a903)),f308(x74431,x74432,x74433)),f329(f329(f311(x74431),x74433),f191(f916(x74431,a903)))),f307(x74431,x74432,x74433))+~P1(f329(f329(f241(x74431),x74432),x74433))
% 191.26/191.47 [7538]~P1(f329(f62(x75381),x75383))+P1(f329(f329(f240(a908),f329(f36(x75381),x75382)),f329(f36(x75381),x75383)))+~P1(f329(f329(f240(f916(x75381,a903)),x75382),x75383))
% 191.26/191.47 [7539]~P1(f329(f62(x75391),x75393))+P1(f329(f329(f241(a908),f329(f36(x75391),x75392)),f329(f36(x75391),x75393)))+~P1(f329(f329(f241(f916(x75391,a903)),x75392),x75393))
% 191.26/191.47 [7579]~P1(f329(x75793,x75792))+P1(f329(f329(f197(x75791),x75792),f552(x75792,x75791,x75793)))+~P1(f329(f329(f197(f31(x75793,x75791)),x75792),x75792))
% 191.26/191.47 [7673]E(x76731,x76732)+~P1(f329(f329(f240(f916(x76733,a903)),x76732),x76731))+~P1(f329(f329(f240(f916(x76733,a903)),x76731),x76732))
% 191.26/191.47 [7676]~P112(x76761)+P18(x76761,x76762)+~P18(x76761,f329(f329(f151(x76761,x76761,f5(x76761)),x76763),x76762))
% 191.26/191.47 [7746]~P1(f329(f329(f241(a908),x77463),x77462))+~P1(f329(f329(f241(a908),x77463),x77461))+P1(f329(f329(f241(a908),f329(f329(f23(a908),x77461),x77462)),f329(f329(f23(a908),x77461),x77463)))
% 191.26/191.47 [7747]~P1(f329(f329(f240(a908),x77472),x77471))+~P1(f329(f329(f241(a908),x77471),x77473))+P1(f329(f329(f241(a908),f329(f329(f23(a908),x77471),x77472)),f329(f329(f23(a908),x77473),x77472)))
% 191.26/191.47 [7762]~P1(f329(f329(f241(a1),x77622),f2(a1)))+~P1(f329(f329(f240(a1),x77623),x77621))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x77621),x77622)),f329(f329(f37(a1),x77623),x77622)))
% 191.26/191.47 [7779]~P1(f329(f329(f241(a908),f2(a908)),x77793))+~P1(f329(f329(f240(a908),x77793),x77792))+P1(f329(f329(f240(a908),f329(f329(f37(a908),x77791),x77792)),f329(f329(f37(a908),x77791),x77793)))
% 191.26/191.47 [7780]~P1(f329(f329(f241(a1),f2(a1)),x77802))+~P1(f329(f329(f240(a1),x77801),x77803))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x77801),x77802)),f329(f329(f37(a1),x77803),x77802)))
% 191.26/191.47 [7784]~P1(f329(f329(f241(a908),f2(a908)),x77842))+~P1(f329(f329(f241(a908),x77841),x77843))+P1(f329(f329(f241(a908),f329(f329(f83(a908),x77841),x77842)),f329(f329(f83(a908),x77843),x77842)))
% 191.26/191.47 [7785]~P1(f329(f329(f241(a908),f2(a908)),x77851))+~P1(f329(f329(f241(a908),x77852),x77853))+P1(f329(f329(f241(a908),f329(f329(f83(a908),x77851),x77852)),f329(f329(f83(a908),x77851),x77853)))
% 191.26/191.47 [7786]~P1(f329(f329(f241(a1),f2(a1)),x77861))+~P1(f329(f329(f241(a1),x77862),x77863))+P1(f329(f329(f241(a1),f329(f329(f83(a1),x77861),x77862)),f329(f329(f83(a1),x77861),x77863)))
% 191.26/191.47 [7834]E(x78341,f2(a908))+E(f329(f329(f82(a908),f329(f329(f83(a908),x78341),f887(x78341,x78342,x78343))),f896(x78341,x78342,x78343)),x78342)+P1(f329(x78343,f329(f329(f37(a908),x78342),x78341)))
% 191.26/191.47 [7896]E(f329(f329(f82(a908),f329(f329(f83(a908),x78961),f887(x78961,x78962,x78963))),f896(x78961,x78962,x78963)),x78962)+~P1(f329(x78963,f2(a908)))+P1(f329(x78963,f329(f329(f37(a908),x78962),x78961)))
% 191.26/191.47 [7914]~P1(f329(f62(x79141),x79143))+P1(f329(f329(f331(x79141),f888(x79142,x79143,x79141)),x79143))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f9(x79141,a908),x79142),x79143)))
% 191.26/191.47 [7915]~P1(f329(f62(x79151),x79153))+P1(f329(f329(f331(x79151),f508(x79152,x79153,x79151)),x79153))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f9(x79151,a908),x79152),x79153)))
% 191.26/191.47 [8221]E(x82211,f191(f916(x82212,a903)))+E(x82211,f329(f329(f311(x82212),x82213),f191(f916(x82212,a903))))+~P1(f329(f329(f240(f916(x82212,a903)),x82211),f329(f329(f311(x82212),x82213),f191(f916(x82212,a903)))))
% 191.26/191.47 [8258]~P1(f329(f329(f241(a908),f2(a908)),x82583))+P1(f329(f329(f240(a908),x82581),x82582))+~P1(f329(f329(f240(a908),f329(f329(f83(a908),x82583),x82581)),f329(f329(f83(a908),x82583),x82582)))
% 191.26/191.47 [8259]~P1(f329(f329(f241(a908),f2(a908)),x82593))+P1(f329(f329(f240(a908),x82591),x82592))+~P1(f329(f329(f240(a908),f329(f329(f83(a908),x82591),x82593)),f329(f329(f83(a908),x82592),x82593)))
% 191.26/191.47 [8261]~P1(f329(f329(f241(a908),f2(a908)),x82613))+P1(f329(f329(f241(a908),x82611),x82612))+~P1(f329(f329(f241(a908),f329(f329(f249(a908),x82613),x82611)),f329(f329(f249(a908),x82613),x82612)))
% 191.26/191.47 [8293]~P1(f329(x82931,x82933))+P1(f329(f329(f197(f31(x82931,x82932)),f552(x82933,x82932,x82931)),x82933))+~P1(f329(f329(f197(f31(x82931,x82932)),x82933),x82933))
% 191.26/191.47 [8301]~E(f329(f329(f106(f916(x83011,a903)),f646(x83013,x83012,x83011)),f645(x83013,x83012,x83011)),f191(f916(x83011,a903)))+E(f329(f329(f106(f916(x83011,a903)),x83012),f38(f916(x83011,a903),x83013)),f191(f916(x83011,a903)))+P1(f329(f329(f331(f916(x83011,a903)),x83012),x83013))
% 191.26/191.47 [8315]E(x83151,f118(x83152))+~E(f329(f145(f909(x83152),f909(x83152),f137(x83152),f118(x83152)),x83153),f118(x83152))+~P1(f329(f329(f331(f909(x83152)),x83151),f329(f175(f909(x83152)),x83153)))
% 191.26/191.47 [8371]E(x83711,f191(f916(f916(x83712,a903),a903)))+P1(f329(f329(f331(f916(x83712,a903)),f650(x83713,x83711,x83712)),x83711))+P1(f329(f329(f240(f916(x83712,a903)),f39(f916(x83712,a903),x83711)),x83713))
% 191.26/191.47 [8377]~P5(x83771)+~P80(x83771)+E(f329(f329(f9(a1,x83771),f329(f329(f8(a908,x83771,a1),x83772),a109)),f329(f312(a908,a1,f105(a1)),x83773)),f329(f329(f9(a908,x83771),x83772),x83773))
% 191.26/191.47 [8378]~P5(x83781)+~P80(x83781)+E(f329(f329(f6(a1,x83781),f329(f329(f8(a908,x83781,a1),x83782),a109)),f329(f312(a908,a1,f105(a1)),x83783)),f329(f329(f6(a908,x83781),x83782),x83783))
% 191.26/191.47 [8421]~P1(f329(f62(x84211),x84213))+~P1(f329(f329(f241(a908),f2(a908)),f329(x84212,f888(x84212,x84213,x84211))))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f9(x84211,a908),x84212),x84213)))
% 191.26/191.47 [8422]~P1(f329(f62(x84221),x84223))+~P1(f329(f329(f241(a908),f2(a908)),f329(x84222,f508(x84222,x84223,x84221))))+P1(f329(f329(f241(a908),f2(a908)),f329(f329(f9(x84221,a908),x84222),x84223)))
% 191.26/191.47 [8459]~P72(x84592)+E(x84591,f80(x84592))+E(f329(f329(f292(x84592),f329(f329(f23(x84592),f329(f329(f249(x84592),x84591),x84593)),f80(x84592))),f329(f329(f23(x84592),x84591),f80(x84592))),f329(f329(f6(a908,x84592),f329(f249(x84592),x84591)),f329(f304(a908,f2(a908)),x84593)))
% 191.26/191.47 [8516]E(x85161,f2(a908))+~P1(f329(x85163,f329(f329(f37(a908),x85162),x85161)))+P1(f329(f329(f241(a908),x85162),f329(f329(f83(a908),x85161),f329(a117,f886(x85161,x85162,x85163)))))
% 191.26/191.47 [8535]P1(f329(x85351,f2(a908)))+~P1(f329(x85351,f329(f329(f37(a908),x85352),x85353)))+P1(f329(f329(f241(a908),x85352),f329(f329(f83(a908),x85353),f329(a117,f886(x85353,x85352,x85351)))))
% 191.26/191.47 [8575]E(x85751,f2(a908))+~P1(f329(x85753,f329(f329(f37(a908),x85752),x85751)))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x85751),f886(x85751,x85752,x85753))),x85752))
% 191.26/191.47 [8614]P1(f329(x86141,f2(a908)))+~P1(f329(x86141,f329(f329(f37(a908),x86143),x86142)))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x86142),f886(x86142,x86143,x86141))),x86143))
% 191.26/191.47 [8622]~P112(x86221)+E(f329(f329(f151(x86221,x86221,f5(x86221)),x86222),x86223),f152(x86221,x86221,f5(x86221),x86222,x86223))+P1(f329(f329(f331(x86221),x86222),f329(f175(x86221),x86223)))
% 191.26/191.47 [8661]~E(f329(x86613,f571(x86612,x86613,x86611)),f329(x86613,f574(x86612,x86613,x86611)))+~P67(x86611,f329(x86613,f572(x86612,x86613,x86611)))+P67(x86611,f329(f329(f40(x86612,f916(x86611,f916(x86611,a903))),f247(f916(x86612,a903))),x86613))
% 191.26/191.47 [8670]E(x86701,f191(f916(f916(x86702,a903),a903)))+~P1(f329(f329(f240(f916(x86702,a903)),f650(x86703,x86701,x86702)),x86703))+P1(f329(f329(f240(f916(x86702,a903)),f39(f916(x86702,a903),x86701)),x86703))
% 191.26/191.47 [8728]~P74(x87281)+~P1(f329(f329(f241(x87281),x87282),x87283))+P1(f329(f329(f241(x87281),x87282),f329(f329(f292(x87281),f329(f329(f82(x87281),x87282),x87283)),f329(f329(f82(x87281),f80(x87281)),f80(x87281)))))
% 191.26/191.47 [8783]~P1(f329(f329(x87831,f368(x87831,x87833,x87832)),f369(x87831,x87833,x87832)))+P1(f329(f329(x87831,x87832),x87833))+~P1(f329(f317(f915(a1,a1),a53),f329(f329(f257(a1,a1),x87832),x87833)))
% 191.26/191.47 [8784]~P1(f329(f329(x87841,f370(x87841,x87843,x87842)),f371(x87841,x87843,x87842)))+P1(f329(f329(x87841,x87842),x87843))+~P1(f329(f317(f915(a1,a1),a59),f329(f329(f257(a1,a1),x87842),x87843)))
% 191.26/191.47 [8785]~P1(f329(f329(x87851,f372(x87851,x87853,x87852)),f373(x87851,x87853,x87852)))+P1(f329(f329(x87851,x87852),x87853))+~P1(f329(f317(f915(a1,a1),a225),f329(f329(f257(a1,a1),x87852),x87853)))
% 191.26/191.47 [8786]~P1(f329(f329(x87861,f485(x87861,x87863,x87862)),f489(x87861,x87863,x87862)))+P1(f329(f329(x87861,x87862),x87863))+~P1(f329(f317(f915(a908,a908),a223),f329(f329(f257(a908,a908),x87862),x87863)))
% 191.26/191.47 [8787]~P1(f329(f329(x87871,f701(x87871,x87873,x87872)),f703(x87871,x87873,x87872)))+P1(f329(f329(x87871,x87872),x87873))+~P1(f329(f317(f915(a1,a1),a185),f329(f329(f257(a1,a1),x87872),x87873)))
% 191.26/191.47 [8788]~P1(f329(f329(x87881,f798(x87881,x87883,x87882)),f799(x87881,x87883,x87882)))+P1(f329(f329(x87881,x87882),x87883))+~P1(f329(f317(f915(a1,a1),a136),f329(f329(f257(a1,a1),x87882),x87883)))
% 191.26/191.47 [9051]P1(f329(f329(x90511,x90512),x90513))+P1(f329(f317(f915(a908,a908),a223),f329(f329(f257(a908,a908),f485(x90511,x90513,x90512)),f489(x90511,x90513,x90512))))+~P1(f329(f317(f915(a908,a908),a223),f329(f329(f257(a908,a908),x90512),x90513)))
% 191.26/191.47 [9052]P1(f329(f329(x90521,x90522),x90523))+P1(f329(f317(f915(a1,a1),a53),f329(f329(f257(a1,a1),f368(x90521,x90523,x90522)),f369(x90521,x90523,x90522))))+~P1(f329(f317(f915(a1,a1),a53),f329(f329(f257(a1,a1),x90522),x90523)))
% 191.26/191.47 [9053]P1(f329(f329(x90531,x90532),x90533))+P1(f329(f317(f915(a1,a1),a59),f329(f329(f257(a1,a1),f370(x90531,x90533,x90532)),f371(x90531,x90533,x90532))))+~P1(f329(f317(f915(a1,a1),a59),f329(f329(f257(a1,a1),x90532),x90533)))
% 191.26/191.47 [9054]P1(f329(f329(x90541,x90542),x90543))+P1(f329(f317(f915(a1,a1),a225),f329(f329(f257(a1,a1),f372(x90541,x90543,x90542)),f373(x90541,x90543,x90542))))+~P1(f329(f317(f915(a1,a1),a225),f329(f329(f257(a1,a1),x90542),x90543)))
% 191.26/191.47 [9055]P1(f329(f329(x90551,x90552),x90553))+P1(f329(f317(f915(a1,a1),a185),f329(f329(f257(a1,a1),f701(x90551,x90553,x90552)),f703(x90551,x90553,x90552))))+~P1(f329(f317(f915(a1,a1),a185),f329(f329(f257(a1,a1),x90552),x90553)))
% 191.26/191.47 [9056]P1(f329(f329(x90561,x90562),x90563))+P1(f329(f317(f915(a1,a1),a136),f329(f329(f257(a1,a1),f798(x90561,x90563,x90562)),f799(x90561,x90563,x90562))))+~P1(f329(f317(f915(a1,a1),a136),f329(f329(f257(a1,a1),x90562),x90563)))
% 191.26/191.47 [9398]~P1(f329(f62(x93981),x93983))+P1(f329(f329(f331(f915(f916(x93981,a903),f916(x93981,a903))),f329(f329(f257(f916(x93981,a903),f916(x93981,a903)),x93982),x93983)),f316(x93981)))+~P1(f329(f329(f241(f916(x93981,a903)),x93982),x93983))
% 191.26/191.47 [9471]~P67(x94711,f329(x94713,f572(x94712,x94713,x94711)))+P67(x94711,f329(f329(f40(x94712,f916(x94711,f916(x94711,a903))),f247(f916(x94712,a903))),x94713))+~E(f329(f329(f106(f916(x94711,a903)),f254(x94711,x94711,f329(x94713,f571(x94712,x94713,x94711)))),f255(x94711,x94711,f329(x94713,f574(x94712,x94713,x94711)))),f191(f916(x94711,a903)))
% 191.26/191.47 [9671]P60(x96711,x96712,x96713)+P1(f329(f329(f331(f915(x96711,x96711)),f475(x96713,x96712,x96711)),x96713))+~P1(f329(f329(f331(f915(x96711,x96711)),f329(f329(f257(x96711,x96711),f474(x96713,x96712,x96711)),f474(x96713,x96712,x96711))),x96713))
% 191.26/191.47 [10251]P60(x102511,x102512,x102513)+~P1(f329(f329(f262(x102511,x102511,a903),f329(f329(f7(x102511,f916(x102511,a903),f916(x102511,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x102511,a903),f916(x102511,a903)),x102511),f8(a903,a903,x102511)),f329(f329(f8(a903,f916(a903,a903),x102511),a327),f329(f329(f7(x102511,f916(x102511,a903),a903),f331(x102511)),x102512)))),f329(f329(f7(x102511,f916(x102511,a903),a903),f331(x102511)),x102512))),f475(x102513,x102512,x102511)))+~P1(f329(f329(f331(f915(x102511,x102511)),f329(f329(f257(x102511,x102511),f474(x102513,x102512,x102511)),f474(x102513,x102512,x102511))),x102513))
% 191.26/191.47 [5763]~P68(x57632)+E(x57631,f2(x57632))+E(f329(f329(f37(x57632),f329(f329(f83(x57632),x57633),x57631)),x57631),x57633)
% 191.26/191.47 [5764]~P68(x57642)+E(x57641,f2(x57642))+E(f329(f329(f37(x57642),f329(f329(f83(x57642),x57641),x57643)),x57641),x57643)
% 191.26/191.47 [6568]~P5(x65681)+~E(f329(x65682,f2(a908)),f2(x65681))+E(f329(f329(f6(a908,x65681),x65682),f329(f304(a908,f329(a117,f2(a908))),x65683)),f329(f329(f6(a908,x65681),x65682),f329(f304(a908,f2(a908)),x65683)))
% 191.26/191.47 [6701]~P68(x67012)+E(x67011,f2(x67012))+E(f329(f329(f37(x67012),f329(f329(f82(x67012),x67013),x67011)),x67011),f329(f329(f82(x67012),f329(f329(f37(x67012),x67013),x67011)),f80(x67012)))
% 191.26/191.47 [6702]~P68(x67022)+E(x67021,f2(x67022))+E(f329(f329(f37(x67022),f329(f329(f82(x67022),x67021),x67023)),x67021),f329(f329(f82(x67022),f329(f329(f37(x67022),x67023),x67021)),f80(x67022)))
% 191.26/191.47 [6918]~P1(f329(x69183,f2(a1)))+P1(f329(f329(f240(a908),x69181),x69182))+P1(f329(x69183,f329(f105(a1),f329(f329(f23(a908),x69182),x69181))))
% 191.26/191.47 [7019]P1(f329(f329(f241(a908),x70192),x70191))+P1(f329(f329(f240(a908),x70191),x70192))+P1(f329(x70193,f329(f105(a1),f329(f329(f23(a908),x70192),x70191))))
% 191.26/191.47 [7092]E(f329(f329(f82(a908),f329(f108(a908),x70921)),f329(f329(f82(a908),f329(f108(a908),x70922)),x70923)),f329(f329(f82(a908),f329(f108(a908),x70921)),x70923))+P1(f329(a196,f329(f108(a1),x70921)))+~P1(f329(a196,f329(f108(a1),x70922)))
% 191.26/191.47 [7170]~E(x71702,f329(f329(f37(a908),x71703),x71701))+~P1(f329(f329(f241(a908),f2(a908)),x71701))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x71701),x71702)),x71703))
% 191.26/191.47 [7284]~P1(f329(f62(x72841),x72843))+~P1(f329(f62(x72841),x72842))+P1(f329(f62(x72841),f329(f329(f115(f916(x72841,a903)),x72842),x72843)))
% 191.26/191.47 [7334]~P44(x73341,x73343)+~P44(x73341,x73342)+P44(x73341,f329(f329(f106(f916(f915(x73341,x73341),a903)),x73342),x73343))
% 191.26/191.47 [7335]~P59(x73351,x73353)+~P59(x73351,x73352)+P59(x73351,f329(f329(f115(f916(f915(x73351,x73351),a903)),x73352),x73353))
% 191.26/191.47 [7336]~P59(x73361,x73363)+~P59(x73361,x73362)+P59(x73361,f329(f329(f106(f916(f915(x73361,x73361),a903)),x73362),x73363))
% 191.26/191.47 [7591]~P112(x75911)+~P1(f329(f62(x75911),x75912))+E(f142(x75911,f329(f329(f23(f916(x75911,a903)),x75912),f329(f329(f311(x75911),x75913),f191(f916(x75911,a903))))),f173(x75911,x75913,f142(x75911,x75912)))
% 191.26/191.47 [7652]P1(f329(x76521,f2(a1)))+~P1(f329(f329(f241(a908),x76522),x76523))+~P1(f329(x76521,f329(f105(a1),f329(f329(f23(a908),x76522),x76523))))
% 191.26/191.47 [7670]~P1(f329(f62(x76701),x76702))+E(f329(f36(x76701),f329(f329(f23(f916(x76701,a903)),x76702),f329(f329(f311(x76701),x76703),f191(f916(x76701,a903))))),f329(f36(x76701),x76702))+P1(f329(f329(f331(x76701),x76703),x76702))
% 191.26/191.47 [7802]~P127(x78021)+~P1(f329(f329(f241(x78021),f80(x78021)),x78022))+P1(f329(f329(f241(x78021),f80(x78021)),f329(f329(f83(x78021),x78022),f329(f329(f249(x78021),x78022),x78023))))
% 191.26/191.47 [7845]~P1(f329(f62(x78451),x78453))+E(f329(f329(f23(a908),f329(f36(x78451),x78452)),f329(f36(x78451),x78453)),f329(f36(x78451),f329(f329(f23(f916(x78451,a903)),x78452),x78453)))+~P1(f329(f329(f240(f916(x78451,a903)),x78453),x78452))
% 191.26/191.47 [7904]~P1(f329(f329(f240(a908),x79042),x79043))+~P1(f329(f329(f240(a908),x79041),f329(f329(f23(a908),x79043),x79042)))+P1(f329(f329(f240(a908),f329(f329(f82(a908),x79041),x79042)),x79043))
% 191.26/191.47 [7963]P1(f329(f62(x79631),x79632))+~P1(f329(f62(x79631),x79633))+~P1(f329(f62(x79631),f329(f329(f23(f916(x79631,a903)),x79632),x79633)))
% 191.26/191.47 [7969]~P1(f329(f62(x79691),x79692))+E(f329(f36(x79691),f329(f329(f23(f916(x79691,a903)),x79692),f329(f329(f311(x79691),x79693),f191(f916(x79691,a903))))),f329(f329(f23(a908),f329(f36(x79691),x79692)),f80(a908)))+~P1(f329(f329(f331(x79691),x79693),x79692))
% 191.26/191.47 [8045]P67(x80451,x80452)+~P67(x80451,x80453)+~P1(f329(f329(f240(f916(x80451,f916(x80451,a903))),x80452),x80453))
% 191.26/191.47 [8086]~P1(f329(f329(f240(a908),x80863),x80862))+P1(f329(f329(f240(a908),x80861),f329(f329(f23(a908),x80862),x80863)))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),x80861),x80863)),x80862))
% 191.26/191.47 [8106]P43(x81061,x81062)+~P43(x81061,x81063)+~P1(f329(f329(f240(f916(f915(x81061,x81061),a903)),x81062),x81063))
% 191.26/191.47 [8107]P65(x81071,x81072)+~P65(x81071,x81073)+~P1(f329(f329(f240(f916(f915(x81071,x81071),a903)),x81072),x81073))
% 191.26/191.47 [8108]P45(x81081,x81082)+~P45(x81081,x81083)+~P1(f329(f329(f240(f916(f915(x81081,x81081),a903)),x81082),x81083))
% 191.26/191.47 [8349]~P127(x83491)+~P1(f329(f329(f241(x83491),f80(x83491)),x83492))+P1(f329(f329(f241(x83491),f329(f329(f249(x83491),x83492),x83493)),f329(f329(f83(x83491),x83492),f329(f329(f249(x83491),x83492),x83493))))
% 191.26/191.47 [8442]~P1(f329(x84421,f2(a1)))+~P1(f329(x84421,f329(f329(f23(a1),f329(f105(a1),x84422)),f329(f105(a1),x84423))))+P1(f329(x84421,f329(f105(a1),f329(f329(f23(a908),x84422),x84423))))
% 191.26/191.47 [8455]~P1(f329(f329(f240(a908),x84553),x84552))+P1(f329(x84551,f329(f329(f23(a1),f329(f105(a1),x84552)),f329(f105(a1),x84553))))+~P1(f329(x84551,f329(f105(a1),f329(f329(f23(a908),x84552),x84553))))
% 191.26/191.47 [8474]P1(f329(f329(f241(a908),x84741),x84742))+~P1(f329(x84743,f329(f329(f23(a1),f329(f105(a1),x84741)),f329(f105(a1),x84742))))+P1(f329(x84743,f329(f105(a1),f329(f329(f23(a908),x84741),x84742))))
% 191.26/191.47 [8527]~P129(x85272)+E(x85271,f2(x85272))+P1(f329(f329(f241(x85272),f2(x85272)),f329(f329(f82(x85272),f329(f329(f83(x85272),x85273),x85273)),f329(f329(f83(x85272),x85271),x85271))))
% 191.26/191.47 [8528]~P129(x85282)+E(x85281,f2(x85282))+P1(f329(f329(f241(x85282),f2(x85282)),f329(f329(f82(x85282),f329(f329(f83(x85282),x85281),x85281)),f329(f329(f83(x85282),x85283),x85283))))
% 191.26/191.47 [8641]~P1(f329(f329(f241(a908),f2(a908)),x86411))+~P1(f329(f329(f241(a1),x86412),x86413))+P1(f329(f329(f241(a1),f329(f329(f83(a1),f329(f105(a1),x86411)),x86412)),f329(f329(f83(a1),f329(f105(a1),x86411)),x86413)))
% 191.26/191.47 [8698]E(f329(f329(f106(f916(x86981,a903)),x86982),f38(f916(x86981,a903),x86983)),f191(f916(x86981,a903)))+P1(f329(f329(f331(f916(x86981,a903)),x86982),x86983))+P1(f329(f329(f331(f916(x86981,a903)),f646(x86983,x86982,x86981)),f329(f329(f311(f916(x86981,a903)),x86982),x86983)))
% 191.26/191.47 [8699]E(f329(f329(f106(f916(x86991,a903)),x86992),f38(f916(x86991,a903),x86993)),f191(f916(x86991,a903)))+P1(f329(f329(f331(f916(x86991,a903)),x86992),x86993))+P1(f329(f329(f331(f916(x86991,a903)),f645(x86993,x86992,x86991)),f329(f329(f311(f916(x86991,a903)),x86992),x86993)))
% 191.26/191.47 [8727]E(x87271,x87272)+~E(f329(f192(f909(x87273)),x87271),f329(f192(f909(x87273)),x87272))+P1(f329(f329(f331(f915(x87273,x87273)),f688(x87273,x87271,x87272)),f329(f175(f915(x87273,x87273)),f329(f329(f184(x87273,x87273),x87272),x87271))))
% 191.26/191.47 [8960]E(f309(x89601,x89602),f309(x89601,x89603))+~P1(f329(f329(f240(f916(f915(x89601,x89601),a903)),x89603),f309(x89601,x89602)))+~P1(f329(f329(f240(f916(f915(x89601,x89601),a903)),x89602),x89603))
% 191.26/191.47 [9027]~P60(x90271,f247(f916(x90271,a903)),x90273)+P1(f329(f329(f240(f916(f915(f909(x90271),f909(x90271)),a903)),f160(x90271,x90272)),f161(x90271,x90273)))+~P1(f329(f329(f240(f916(f915(x90271,x90271),a903)),x90272),x90273))
% 191.26/191.47 [9229]P43(x92291,x92292)+~P1(f329(f329(f331(x92291),x92293),f610(x92292,x92291)))+P1(f329(f329(f331(f915(x92291,x92291)),f329(f329(f257(x92291,x92291),f662(x92292,x92291,x92293)),x92293)),x92292))
% 191.26/191.47 [9271]~P1(f329(f62(x92711),x92712))+P1(f329(f62(f916(x92711,a903)),f329(f329(f61(x92711),x92712),x92713)))+~P1(f329(f329(f240(f916(f915(x92711,x92711),a903)),x92713),f329(f329(f259(x92711,x92711),x92712),f329(f16(f916(x92711,a903),x92711),x92712))))
% 191.26/191.47 [9310]P60(x93101,x93102,x93103)+P1(f329(f329(f331(x93101),f498(x93103,x93102,x93101)),x93102))+~P1(f329(f329(f240(f916(f915(x93101,x93101),a903)),x93103),f329(f329(f259(x93101,x93101),x93102),f329(f16(f916(x93101,a903),x93101),x93102))))
% 191.26/191.47 [9311]P60(x93111,x93112,x93113)+P1(f329(f329(f331(x93111),f512(x93112,x93113,x93111)),x93112))+~P1(f329(f329(f240(f916(f915(x93111,x93111),a903)),x93113),f329(f329(f259(x93111,x93111),x93112),f329(f16(f916(x93111,a903),x93111),x93112))))
% 191.26/191.47 [9344]~P74(x93441)+~P1(f329(f329(f241(x93441),x93442),x93443))+P1(f329(f329(f241(x93441),f329(f329(f292(x93441),f329(f329(f82(x93441),x93442),x93443)),f329(f329(f82(x93441),f80(x93441)),f80(x93441)))),x93443))
% 191.26/191.47 [9371]~P73(x93711)+P1(f329(f329(f240(x93711),x93712),x93713))+~P1(f329(f329(f240(x93711),f329(f329(f83(x93711),f446(x93713,x93712,x93711)),x93712)),x93713))
% 191.26/191.47 [9505]E(f329(f192(f909(f909(x95051))),f329(f139(f909(x95051),f329(f329(f8(a908,a903,f909(x95051)),f329(f241(a908),x95052)),f192(f909(x95051)))),f182(x95051,x95053))),f329(f192(f909(x95051)),f329(f329(f167(f909(x95051)),x95053),x95052)))+~P18(a908,f329(f171(a908),f329(f329(f157(f909(x95051),a908),f192(f909(x95051))),x95053)))+~P1(f329(f329(f241(a908),x95052),f329(f192(f909(f909(x95051))),x95053)))
% 191.26/191.47 [9620]~P43(x96201,x96202)+P32(x96201,f329(f329(f257(f916(f915(x96201,x96201),a903),f916(f915(x96201,x96201),a903)),x96202),x96203))+~P1(f329(f329(f240(f916(f915(x96201,x96201),a903)),f329(f329(f291(x96201,x96201,x96201),x96202),x96203)),x96202))
% 191.26/191.47 [9626]E(f329(f329(f157(f909(x96261),x96261),f329(f329(f7(f909(x96261),a908,x96261),f167(x96261)),x96262)),f329(f139(f909(x96261),f329(f329(f8(a908,a903,f909(x96261)),f329(f241(a908),x96262)),f192(f909(x96261)))),f182(x96261,x96263))),f329(f329(f167(f909(x96261)),x96263),x96262))+~P18(a908,f329(f171(a908),f329(f329(f157(f909(x96261),a908),f192(f909(x96261))),x96263)))+~P1(f329(f329(f241(a908),x96262),f329(f192(f909(f909(x96261))),x96263)))
% 191.26/191.47 [9761]P60(x97611,x97612,x97613)+~P1(f329(f329(f331(f915(x97611,x97611)),f329(f329(f257(x97611,x97611),f498(x97613,x97612,x97611)),f498(x97613,x97612,x97611))),x97613))+~P1(f329(f329(f240(f916(f915(x97611,x97611),a903)),x97613),f329(f329(f259(x97611,x97611),x97612),f329(f16(f916(x97611,a903),x97611),x97612))))
% 191.26/191.47 [9762]P60(x97621,x97622,x97623)+~P1(f329(f329(f331(f915(x97621,x97621)),f329(f329(f257(x97621,x97621),f512(x97622,x97623,x97621)),f512(x97622,x97623,x97621))),x97623))+~P1(f329(f329(f240(f916(f915(x97621,x97621),a903)),x97623),f329(f329(f259(x97621,x97621),x97622),f329(f16(f916(x97621,a903),x97621),x97622))))
% 191.26/191.47 [9932]~P120(x99321)+~P126(x99321)+E(f329(f329(f292(x99321),f329(f107(x99321),f329(f329(f74(f915(a1,a1),a1,x99322,f256(a1,a1)),f216(x99322)),x99323))),f329(f107(x99321),f329(f329(f74(f915(a1,a1),a1,x99322,f261(a1,a1)),f216(x99322)),x99323))),f226(x99322,x99321,x99323))
% 191.26/191.47 [10123]~E(x101233,f2(a908))+~E(f329(f192(f909(x101231)),f329(f329(f167(f909(x101231)),x101232),f737(x101233,x101231,x101232))),x101233)+E(f329(f329(f157(a908,f909(x101231)),f329(f329(f7(a908,f909(a908),f909(x101231)),f329(f329(f8(f916(a908,x101231),f916(f909(a908),f909(x101231)),a908),f157(a908,x101231)),f329(f7(a908,a908,x101231),f329(f329(f8(f909(x101231),f916(a908,x101231),a908),f167(x101231)),f329(f167(f909(x101231)),x101232))))),f142(a908,f329(f304(a908,f2(a908)),f329(f192(f909(f909(x101231))),x101232))))),f142(a908,f329(f304(a908,f2(a908)),x101233))),f182(x101231,x101232))
% 191.26/191.47 [10124]E(x101241,f118(f909(x101242)))+~E(f329(f192(f909(x101242)),f329(f329(f167(f909(x101242)),x101241),f737(x101243,x101242,x101241))),x101243)+E(f329(f329(f157(a908,f909(x101242)),f329(f329(f7(a908,f909(a908),f909(x101242)),f329(f329(f8(f916(a908,x101242),f916(f909(a908),f909(x101242)),a908),f157(a908,x101242)),f329(f7(a908,a908,x101242),f329(f329(f8(f909(x101242),f916(a908,x101242),a908),f167(x101242)),f329(f167(f909(x101242)),x101241))))),f142(a908,f329(f304(a908,f2(a908)),f329(f192(f909(f909(x101242))),x101241))))),f142(a908,f329(f304(a908,f2(a908)),x101243))),f182(x101242,x101241))
% 191.26/191.47 [10125]~E(x101253,f2(a908))+E(f329(f329(f157(a908,f909(x101251)),f329(f329(f7(a908,f909(a908),f909(x101251)),f329(f329(f8(f916(a908,x101251),f916(f909(a908),f909(x101251)),a908),f157(a908,x101251)),f329(f7(a908,a908,x101251),f329(f329(f8(f909(x101251),f916(a908,x101251),a908),f167(x101251)),f329(f167(f909(x101251)),x101252))))),f142(a908,f329(f304(a908,f2(a908)),f329(f192(f909(f909(x101251))),x101252))))),f142(a908,f329(f304(a908,f2(a908)),x101253))),f182(x101251,x101252))+P1(f329(f329(f241(a908),f737(x101253,x101251,x101252)),f329(f192(f909(f909(x101251))),x101252)))
% 191.26/191.47 [10126]E(x101261,f118(f909(x101262)))+E(f329(f329(f157(a908,f909(x101262)),f329(f329(f7(a908,f909(a908),f909(x101262)),f329(f329(f8(f916(a908,x101262),f916(f909(a908),f909(x101262)),a908),f157(a908,x101262)),f329(f7(a908,a908,x101262),f329(f329(f8(f909(x101262),f916(a908,x101262),a908),f167(x101262)),f329(f167(f909(x101262)),x101261))))),f142(a908,f329(f304(a908,f2(a908)),f329(f192(f909(f909(x101262))),x101261))))),f142(a908,f329(f304(a908,f2(a908)),x101263))),f182(x101262,x101261))+P1(f329(f329(f241(a908),f737(x101263,x101262,x101261)),f329(f192(f909(f909(x101262))),x101261)))
% 191.26/191.47 [7842]E(f329(f329(f82(a908),f329(f108(a908),x78421)),f329(f329(f82(a908),f329(f108(a908),x78422)),x78423)),f329(f329(f82(a908),f329(f108(a908),f329(f329(f82(a1),x78421),x78422))),x78423))+P1(f329(a196,f329(f108(a1),x78421)))+P1(f329(a196,f329(f108(a1),x78422)))
% 191.26/191.47 [8633]~P1(f329(f62(x86331),x86332))+~P1(f329(f329(f331(x86331),x86333),x86332))+E(f329(a117,f329(f36(x86331),f329(f329(f23(f916(x86331,a903)),x86332),f329(f329(f311(x86331),x86333),f191(f916(x86331,a903)))))),f329(f36(x86331),x86332))
% 191.26/191.47 [8651]~P1(f329(f62(x86511),x86512))+~P1(f329(f329(f331(x86511),x86513),x86512))+E(f329(f329(f82(a908),f80(a908)),f329(f36(x86511),f329(f329(f23(f916(x86511,a903)),x86512),f329(f329(f311(x86511),x86513),f191(f916(x86511,a903)))))),f329(f36(x86511),x86512))
% 191.26/191.47 [8736]~P112(x87361)+~P1(f329(f62(x87361),x87363))+E(f329(f329(f151(x87361,x87361,f5(x87361)),x87362),f142(x87361,f329(f329(f23(f916(x87361,a903)),x87363),f329(f329(f311(x87361),x87362),f191(f916(x87361,a903)))))),f142(x87361,f329(f329(f311(x87361),x87362),x87363)))
% 191.26/191.47 [8887]~P1(f329(f62(x88871),x88873))+~P1(f329(f62(x88871),x88872))+E(f329(f329(f82(a908),f329(f36(x88871),f329(f329(f115(f916(x88871,a903)),x88872),x88873))),f329(f36(x88871),f329(f329(f106(f916(x88871,a903)),x88872),x88873))),f329(f329(f82(a908),f329(f36(x88871),x88872)),f329(f36(x88871),x88873)))
% 191.26/191.47 [10072]~P30(x100721,f916(f916(x100721,a903),a903),f329(f329(f7(x100721,f916(f915(x100721,x100721),a903),f916(f916(x100721,a903),a903)),f329(f329(f8(f916(x100721,a903),f916(f916(f915(x100721,x100721),a903),f916(f916(x100721,a903),a903)),x100721),f61(x100721)),f329(f329(f7(x100721,f916(x100721,a903),f916(x100721,a903)),f311(x100721)),f191(f916(x100721,a903))))),x100723),x100722)+~P1(f329(f62(x100721),x100722))+E(f329(f36(f916(x100721,a903)),f329(f329(f61(x100721),x100722),x100723)),f329(f36(x100721),x100722))
% 191.26/191.47 [10358]~P46(f916(x103581,a903),f916(x103581,a903),x103582)+~P1(f329(f329(f240(f916(x103581,a903)),x103583),f329(x103582,f100(f916(x103581,a903),f329(f329(f7(f916(x103581,a903),f916(x103581,a903),f916(x103581,a903)),f329(f329(f8(f916(x103581,a903),f916(f916(x103581,a903),f916(x103581,a903)),f916(x103581,a903)),f115(f916(x103581,a903))),f329(f329(f7(f916(x103581,a903),f916(x103581,a903),f916(x103581,a903)),f329(f329(f8(f916(x103581,a903),f916(f916(x103581,a903),f916(x103581,a903)),f916(x103581,a903)),f115(f916(x103581,a903))),x103582)),x103583))),f101(f916(x103581,a903),x103582))))))+P1(f329(f329(f240(f916(x103581,a903)),f100(f916(x103581,a903),f329(f329(f7(f916(x103581,a903),f916(x103581,a903),f916(x103581,a903)),f329(f329(f8(f916(x103581,a903),f916(f916(x103581,a903),f916(x103581,a903)),f916(x103581,a903)),f115(f916(x103581,a903))),f329(f329(f7(f916(x103581,a903),f916(x103581,a903),f916(x103581,a903)),f329(f329(f8(f916(x103581,a903),f916(f916(x103581,a903),f916(x103581,a903)),f916(x103581,a903)),f115(f916(x103581,a903))),x103582)),x103583))),f101(f916(x103581,a903),x103582)))),f329(x103582,f100(f916(x103581,a903),f329(f329(f7(f916(x103581,a903),f916(x103581,a903),f916(x103581,a903)),f329(f329(f8(f916(x103581,a903),f916(f916(x103581,a903),f916(x103581,a903)),f916(x103581,a903)),f115(f916(x103581,a903))),f329(f329(f7(f916(x103581,a903),f916(x103581,a903),f916(x103581,a903)),f329(f329(f8(f916(x103581,a903),f916(f916(x103581,a903),f916(x103581,a903)),f916(x103581,a903)),f115(f916(x103581,a903))),x103582)),x103583))),f101(f916(x103581,a903),x103582))))))
% 191.26/191.47 [8123]~P97(x81231)+P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x81233)))+E(f329(f329(f249(x81231),x81232),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),x81233),x81233)),a102))),f80(x81231))
% 191.26/191.47 [9604]~P97(x96041)+~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),x96043)))+E(f329(f329(f249(x96041),x96042),f329(f108(a908),f329(f329(f23(a1),f329(f329(f82(a1),x96043),x96043)),a102))),f329(f329(f88(x96041,x96041),f329(f329(f249(x96041),x96042),f329(f108(a908),x96043))),f329(f329(f18(x96041,x96041,x96041),f329(f329(f8(x96041,f916(x96041,x96041),x96041),f83(x96041)),f329(f83(x96041),x96042))),f5(x96041))))
% 191.26/191.47 [9991]~P1(f329(f140(x99911),x99913))+~P1(f329(f329(f331(x99911),x99912),f329(f175(x99911),x99913)))+E(f329(f329(f141(x99911),f329(f192(f909(x99911)),f180(x99911,f329(f329(f8(a903,a903,x99911),a324),f329(f329(f7(x99911,x99911,a903),a326),x99912)),f329(f171(x99911),x99913)))),f329(f171(x99911),x99913)),f329(f329(f154(x99911),x99912),f329(f171(x99911),f180(x99911,f329(f329(f8(a903,a903,x99911),a324),f329(f329(f7(x99911,x99911,a903),a326),x99912)),x99913))))
% 191.26/191.47 [10053]P1(f329(f329(f240(f916(f915(x100531,x100531),a903)),f309(x100531,x100532)),x100533))+~P1(f329(f329(f240(f916(f915(x100531,x100531),a903)),f309(x100531,f191(f916(f915(x100531,x100531),a903)))),x100533))+~P1(f329(f329(f240(f916(f915(x100531,x100531),a903)),f329(f329(f291(x100531,x100531,x100531),f329(f329(f106(f916(f915(x100531,x100531),a903)),f309(x100531,x100532)),x100533)),x100532)),x100533))
% 191.26/191.47 [9911]~P1(f329(f62(x99111),f329(f267(x99111),x99113)))+~P1(f329(f62(x99111),f329(f267(x99111),x99112)))+P1(f329(f62(x99111),f329(f267(x99111),f329(f329(f18(x99111,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99111),a328),x99112)),x99113))))
% 191.26/191.47 [10185]P1(f329(f329(f240(f916(f915(x101851,x101851),a903)),f329(f329(f291(x101851,x101851,x101851),x101852),f309(x101851,x101852))),x101853))+~P1(f329(f329(f240(f916(f915(x101851,x101851),a903)),x101852),x101853))+~P1(f329(f329(f240(f916(f915(x101851,x101851),a903)),f329(f329(f291(x101851,x101851,x101851),f329(f329(f106(f916(f915(x101851,x101851),a903)),f329(f329(f291(x101851,x101851,x101851),x101852),f309(x101851,x101852))),x101853)),x101852)),x101853))
% 191.26/191.47 [10139]~P121(x101392)+E(x101391,f2(x101392))+~E(f329(f329(f82(x101392),f329(f329(f249(x101392),x101393),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x101392),x101391),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x101392))
% 191.26/191.47 [10140]~P121(x101402)+E(x101401,f2(x101402))+~E(f329(f329(f82(x101402),f329(f329(f249(x101402),x101401),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x101402),x101403),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x101402))
% 191.26/191.47 [10145]~P1(f329(f140(x101451),x101453))+~P1(f329(f329(f331(x101451),x101452),f329(f175(x101451),x101453)))+E(f329(f171(x101451),f329(f174(x101451),f329(f329(f141(x101451),f329(f192(f909(x101451)),f180(x101451,f329(f329(f8(a903,a903,x101451),a324),f329(f329(f7(x101451,x101451,a903),a326),x101452)),x101453))),x101453))),f180(x101451,f329(f329(f8(a903,a903,x101451),a324),f329(f329(f7(x101451,x101451,a903),a326),x101452)),f329(f171(x101451),x101453)))
% 191.26/191.47 [10233]~P121(x102332)+E(x102331,f2(x102332))+P1(f329(f329(f241(x102332),f2(x102332)),f329(f329(f82(x102332),f329(f329(f249(x102332),x102333),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102332),x102331),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))))
% 191.26/191.47 [10234]~P121(x102342)+E(x102341,f2(x102342))+P1(f329(f329(f241(x102342),f2(x102342)),f329(f329(f82(x102342),f329(f329(f249(x102342),x102341),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102342),x102343),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))))
% 191.26/191.47 [10286]~P121(x102861)+P1(f329(f329(f240(x102861),f2(x102861)),x102862))+~P1(f329(f329(f240(x102861),f2(x102861)),f329(f329(f249(x102861),x102862),f329(a117,f329(f329(f83(a908),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),x102863)))))
% 191.26/191.47 [5596]~P29(x55961,x55964,x55963)+P29(x55961,x55962,x55963)+~P29(x55961,x55962,x55964)
% 191.26/191.47 [5061]~E(x50612,f92(x50613,x50611))+P1(f329(x50611,x50612))+~P1(f329(x50611,x50614))
% 191.26/191.47 [5310]E(f69(x53103,x53102,x53104),x53102)+E(x53101,f763(x53102,x53103,x53104))+~P1(f329(x53104,x53101))
% 191.26/191.47 [6624]E(f69(x66241,x66242,x66243),f87(x66241,x66243))+~E(f801(x66242,x66241,x66243,x66244),x66244)+~P1(f329(x66243,x66244))
% 191.26/191.47 [6831]~P43(x68312,x68314)+~P43(x68311,x68313)+P43(f915(x68311,x68312),f321(x68311,x68312,x68313,x68314))
% 191.26/191.47 [6832]~P44(x68322,x68324)+~P44(x68321,x68323)+P44(f915(x68321,x68322),f321(x68321,x68322,x68323,x68324))
% 191.26/191.47 [8202]~P48(f31(x82024,x82021),x82022,x82023,x82022)+P48(x82021,x82022,x82023,f614(x82023,x82022,x82021,x82024))+~P1(f329(x82024,x82022))
% 191.26/191.47 [8231]~P48(f31(x82311,x82312),x82314,x82313,x82314)+P48(f31(x82311,x82312),f614(x82313,x82314,x82312,x82311),x82313,x82314)+~P1(f329(x82311,x82314))
% 191.26/191.47 [5249]~P12(x52494,x52491)+~E(f329(x52491,x52492),f329(x52491,x52493))+P1(f329(f329(x52491,x52492),x52493))
% 191.26/191.47 [5413]~P12(x54134,x54131)+E(f329(x54131,x54132),f329(x54131,x54133))+~P1(f329(f329(x54131,x54132),x54133))
% 191.26/191.47 [5414]~P20(x54144,x54141)+E(f329(x54141,x54142),f329(x54141,x54143))+~P1(f329(f329(x54141,x54142),x54143))
% 191.26/191.47 [5505]~P23(x55053,x55054,x55051)+E(f329(x55051,x55052),f329(f64(x55053,x55054),x55052))+~P1(f329(f62(x55053),x55052))
% 191.26/191.47 [5506]~P14(x55063,x55064,x55061)+E(f329(x55061,x55062),f329(f64(x55063,x55064),x55062))+~P1(f329(f62(x55063),x55062))
% 191.26/191.47 [5629]~P12(x56294,x56291)+~P1(f329(f329(x56291,x56293),x56292))+P1(f329(f329(x56291,x56292),x56293))
% 191.26/191.47 [5630]~P58(x56304,x56301)+~P1(f329(f329(x56301,x56303),x56302))+P1(f329(f329(x56301,x56302),x56303))
% 191.26/191.47 [5631]~P20(x56314,x56311)+~P1(f329(f329(x56311,x56313),x56312))+P1(f329(f329(x56311,x56312),x56313))
% 191.26/191.47 [5632]~P20(x56323,x56321)+P1(f329(f329(x56321,x56322),x56322))+~P1(f329(f329(x56321,x56324),x56322))
% 191.26/191.47 [5633]~P20(x56333,x56331)+P1(f329(f329(x56331,x56332),x56332))+~P1(f329(f329(x56331,x56332),x56334))
% 191.26/191.47 [5704]E(x57041,x57042)+~E(f329(f256(x57043,x57044),x57041),f329(f256(x57043,x57044),x57042))+~E(f329(f261(x57043,x57044),x57041),f329(f261(x57043,x57044),x57042))
% 191.26/191.47 [5731]E(x57311,x57312)+~P1(f329(f49(x57313,x57314),x57312))+~P1(f329(f49(x57313,x57314),x57311))
% 191.26/191.47 [5921]~P5(x59212)+E(f235(x59211,x59212,x59213,x59214),f2(x59212))+P1(f329(f62(x59211),x59214))
% 191.26/191.47 [6063]~P1(f329(f317(x60631,x60632),x60634))+P1(f329(f317(x60631,x60632),x60633))+~P1(f329(f329(x60632,x60633),x60634))
% 191.26/191.47 [6865]~P36(x68651,x68653,x68654)+P1(f329(x68651,x68652))+~P1(f329(f329(f331(a1),x68652),f305(a1,x68653,x68654)))
% 191.26/191.47 [7958]E(x79581,f2(a908))+~P1(f329(x79582,x79583))+P1(f329(x79582,f796(x79582,x79583,x79581,x79584)))
% 191.26/191.47 [8040]~P112(x80402)+~P1(f329(f140(x80401),x80404))+P1(f329(f140(x80401),f153(x80401,x80402,x80403,x80404)))
% 191.26/191.47 [8085]E(f69(x80851,x80852,x80853),f87(x80851,x80853))+~P1(f329(x80853,x80854))+P1(f329(x80853,f801(x80852,x80851,x80853,x80854)))
% 191.26/191.47 [8273]~P1(f329(f62(x82732),x82734))+~P1(f329(f62(x82731),x82733))+P1(f329(f62(f914(x82731,x82732)),f315(x82731,x82732,x82733,x82734)))
% 191.26/191.47 [8274]~P1(f329(f140(x82742),x82744))+~P1(f329(f140(x82741),x82743))+P1(f329(f140(f915(x82741,x82742)),f60(x82741,x82742,x82743,x82744)))
% 191.26/191.47 [8277]P1(f329(f329(f331(f909(x82771)),f329(f329(f137(x82771),x82772),x82773)),f164(x82771,x82774)))+~P1(f329(f329(f331(f909(x82771)),x82773),f164(x82771,x82774)))+~P1(f329(f329(f331(f909(x82771)),x82772),f164(x82771,x82774)))
% 191.26/191.47 [8560]E(x85601,f2(a908))+P1(f329(x85602,x85603))+~P1(f329(x85602,f797(x85602,x85603,x85601,x85604)))
% 191.26/191.47 [8606]~P112(x86063)+~P1(f329(f140(x86061),f153(x86061,x86063,x86064,x86062)))+P1(f329(f140(x86061),x86062))
% 191.26/191.47 [8878]~P1(f329(f329(f331(f915(x88781,x88781)),f329(f329(f257(x88781,x88781),x88782),x88784)),f309(x88781,x88783)))+P1(f329(f329(f331(x88781),x88782),f318(x88781,x88783)))+~P1(f329(f329(f331(x88781),x88784),f318(x88781,x88783)))
% 191.26/191.47 [5231]~P80(x52312)+E(f329(f329(f9(x52311,x52312),x52313),x52314),f80(x52312))+P1(f329(f62(x52311),x52314))
% 191.26/191.47 [5234]~P5(x52342)+E(f329(f329(f6(x52341,x52342),x52343),x52344),f2(x52342))+P1(f329(f62(x52341),x52344))
% 191.26/191.47 [5377]~P6(x53773)+E(x53771,x53772)+~E(f329(f329(f82(x53773),x53774),x53771),f329(f329(f82(x53773),x53774),x53772))
% 191.26/191.47 [5378]~P7(x53783)+E(x53781,x53782)+~E(f329(f329(f82(x53783),x53784),x53781),f329(f329(f82(x53783),x53784),x53782))
% 191.26/191.47 [5380]~P6(x53803)+E(x53801,x53802)+~E(f329(f329(f82(x53803),x53801),x53804),f329(f329(f82(x53803),x53802),x53804))
% 191.26/191.47 [5501]~P10(x55013)+E(x55011,f191(f916(x55012,a903)))+E(f329(f329(f40(x55012,x55013),x55011),f329(f16(x55013,x55012),x55014)),x55014)
% 191.26/191.47 [5502]~P10(x55023)+E(x55021,f191(f916(x55022,a903)))+E(f329(f329(f41(x55022,x55023),x55021),f329(f16(x55023,x55022),x55024)),x55024)
% 191.26/191.47 [5717]~P114(x57173)+E(x57171,x57172)+~E(f305(x57173,x57174,x57171),f329(f329(f311(x57173),x57172),f191(f916(x57173,a903))))
% 191.26/191.47 [5718]~P114(x57183)+E(x57181,x57182)+~E(f305(x57183,x57181,x57182),f329(f329(f311(x57183),x57184),f191(f916(x57183,a903))))
% 191.26/191.47 [5779]~P41(x57793,x57791,x57794)+P41(x57793,x57791,f329(f329(f154(x57793),x57792),x57794))+P1(f329(x57791,x57792))
% 191.26/191.47 [5880]~P37(x58801,x58802,x58804)+~P1(f329(x58802,x58803))+P37(x58801,x58802,f329(f329(f154(x58801),x58803),x58804))
% 191.26/191.47 [6019]P1(f329(x60191,x60192))+~P1(f329(f253(x60193,x60191),x60194))+~P1(f329(f329(f331(x60193),x60192),x60194))
% 191.26/191.47 [6028]~P37(x60281,x60282,x60284)+~P37(x60281,x60282,x60283)+P37(x60281,x60282,f329(f329(f137(x60281),x60283),x60284))
% 191.26/191.47 [6041]P39(x60411,x60412,x60413)+~P39(x60411,x60412,f329(f329(f154(x60411),x60414),x60413))+P1(f329(x60412,x60414))
% 191.26/191.47 [6042]P41(x60421,x60422,x60423)+~P41(x60421,x60422,f329(f329(f154(x60421),x60424),x60423))+P1(f329(x60422,x60424))
% 191.26/191.47 [6053]E(x60531,x60532)+~P1(f329(f329(f197(x60533),x60534),x60532))+~P1(f329(f329(f197(x60533),x60534),x60531))
% 191.26/191.47 [6121]P39(x61211,x61212,x61213)+P39(x61211,x61212,x61214)+~P39(x61211,x61212,f329(f329(f137(x61211),x61214),x61213))
% 191.26/191.47 [6140]~P5(x61401)+E(f329(f329(f6(a908,x61401),x61402),f329(f304(a908,x61403),f329(a117,x61404))),f2(x61401))+~P1(f329(f329(f241(a908),x61404),x61403))
% 191.26/191.47 [6145]~P69(x61451)+~E(f46(x61451,x61452,x61453),f46(x61451,x61454,x61453))+E(f46(x61451,f329(f81(x61451),x61452),x61453),f46(x61451,f329(f81(x61451),x61454),x61453))
% 191.26/191.47 [6215]P1(f329(x62151,x62152))+~E(f329(f139(x62153,x62151),x62154),x62154)+~P1(f329(f329(f331(x62153),x62152),f329(f175(x62153),x62154)))
% 191.26/191.47 [6234]~E(f329(f329(f82(a908),x62343),x62342),f329(f329(f82(a908),x62341),x62344))+~P1(f329(f329(f241(a908),x62343),x62344))+P1(f329(f329(f241(a908),x62341),x62342))
% 191.26/191.47 [6241]P39(x62411,x62412,x62413)+~P1(f329(x62412,x62414))+~P1(f329(f329(f331(x62411),x62414),f329(f175(x62411),x62413)))
% 191.26/191.47 [6279]~P37(x62793,x62791,x62794)+P1(f329(x62791,x62792))+~P1(f329(f329(f331(x62793),x62792),f329(f175(x62793),x62794)))
% 191.26/191.47 [6281]~E(f329(f139(x62811,x62812),x62813),f118(x62811))+~P1(f329(x62812,x62814))+~P1(f329(f329(f331(x62811),x62814),f329(f175(x62811),x62813)))
% 191.26/191.47 [6282]~E(f180(x62823,x62821,x62824),x62824)+P1(f329(x62821,x62822))+~P1(f329(f329(f331(x62823),x62822),f329(f175(x62823),x62824)))
% 191.26/191.47 [6308]~E(x63084,f191(f916(x63082,a903)))+~E(x63083,f191(f916(x63081,a903)))+E(f315(x63081,x63082,x63083,x63084),f191(f916(f914(x63081,x63082),a903)))
% 191.26/191.47 [6454]P1(f329(x64541,x64542))+~P1(f329(f163(x64543,x64541),x64544))+~P1(f329(f329(f331(x64543),x64542),f329(f175(x64543),x64544)))
% 191.26/191.47 [6729]~P5(x67291)+E(f329(f329(f6(a908,x67291),x67292),f305(a908,x67293,f329(a117,x67294))),f2(x67291))+~P1(f329(f329(f241(a908),f329(a117,x67294)),x67293))
% 191.26/191.47 [6868]~P112(x68681)+E(f329(f329(f23(f916(x68681,a903)),f329(f304(x68681,x68682),x68683)),f329(f304(x68681,x68682),x68684)),f329(f304(x68681,x68684),x68683))+~P1(f329(f329(f240(x68681),x68682),x68684))
% 191.26/191.47 [6939]~E(x69393,x69394)+E(x69391,f2(a908))+P1(f329(f329(f331(x69392),x69393),f329(f175(x69392),f172(x69392,x69391,x69394))))
% 191.26/191.47 [7215]~P1(f329(f329(f331(f909(x72151)),x72154),f164(x72151,x72153)))+P1(f329(f329(f331(x72151),x72152),x72153))+~P1(f329(f329(f331(x72151),x72152),f329(f175(x72151),x72154)))
% 191.26/191.47 [7223]~P43(x72231,x72232)+P1(f329(f329(f331(x72231),f648(x72232,x72231,x72233)),x72233))+~P1(f329(f329(f331(x72231),x72234),x72233))
% 191.26/191.47 [7278]~P80(x72781)+E(f329(f329(f329(f66(x72781,x72782,f83(x72781)),x72783),f80(x72781)),x72784),f329(f329(f9(x72782,x72781),x72783),x72784))+~P1(f329(f62(x72782),x72784))
% 191.26/191.47 [7280]~P5(x72801)+E(f329(f329(f329(f66(x72801,x72802,f82(x72801)),x72803),f2(x72801)),x72804),f329(f329(f6(x72802,x72801),x72803),x72804))+~P1(f329(f62(x72802),x72804))
% 191.26/191.47 [7309]P30(x73091,x73092,x73093,x73094)+~E(f329(f36(x73092),f329(f312(x73091,x73092,x73093),x73094)),f329(f36(x73091),x73094))+~P1(f329(f62(x73091),x73094))
% 191.26/191.47 [7506]~P5(x75061)+E(f329(f329(f82(x75061),f329(x75062,x75063)),f329(f329(f6(a908,x75061),x75062),f307(a908,x75063,x75064))),f329(f329(f6(a908,x75061),x75062),f305(a908,x75063,x75064)))+~P1(f329(f329(f240(a908),x75063),x75064))
% 191.26/191.47 [7516]~P80(x75161)+~P30(x75162,x75161,x75163,x75164)+E(f329(f329(f9(x75161,x75161),f33(x75161)),f329(f312(x75162,x75161,x75163),x75164)),f329(f329(f9(x75162,x75161),x75163),x75164))
% 191.26/191.47 [7517]~P5(x75171)+~P30(x75172,x75171,x75173,x75174)+E(f329(f329(f6(x75171,x75171),f33(x75171)),f329(f312(x75172,x75171,x75173),x75174)),f329(f329(f6(x75172,x75171),x75173),x75174))
% 191.26/191.47 [7572]E(f329(f36(f914(x75721,x75722)),f315(x75721,x75722,x75723,x75724)),f329(f329(f82(a908),f329(f36(x75721),x75723)),f329(f36(x75722),x75724)))+~P1(f329(f62(x75722),x75724))+~P1(f329(f62(x75721),x75723))
% 191.26/191.47 [7653]E(x76531,x76532)+P1(f329(f329(f331(x76533),x76531),f329(f175(x76533),f173(x76533,x76532,x76534))))+~P1(f329(f329(f331(x76533),x76531),f329(f175(x76533),x76534)))
% 191.26/191.47 [7795]~P1(f329(f329(f240(f916(x77951,a903)),x77954),f329(x77953,x77954)))+~P1(f329(f329(f331(x77951),x77952),x77954))+P1(f329(f329(f331(x77951),x77952),f101(f916(x77951,a903),x77953)))
% 191.26/191.47 [7881]~P5(x78811)+E(f329(f329(f82(x78811),f329(f329(f6(a908,x78811),x78812),f329(f304(a908,x78813),x78814))),f329(x78812,x78814)),f329(f329(f6(a908,x78811),x78812),f329(f304(a908,x78813),f329(a117,x78814))))+P1(f329(f329(f241(a908),x78814),x78813))
% 191.26/191.47 [7939]~P30(x79391,x79392,x79393,f247(f916(x79391,a903)))+~P1(f329(f62(x79392),x79394))+P1(f329(f62(x79391),f329(f313(x79391,x79392,x79393),x79394)))
% 191.26/191.47 [8055]P1(f329(f329(f331(f909(x80551)),f329(f329(f154(x80551),x80552),x80553)),f164(x80551,x80554)))+~P1(f329(f329(f331(f909(x80551)),x80553),f164(x80551,x80554)))+~P1(f329(f329(f331(x80551),x80552),x80554))
% 191.26/191.47 [8147]~E(f329(f312(x81473,x81471,x81474),f247(f916(x81473,a903))),f247(f916(x81471,a903)))+P1(f329(f62(x81471),x81472))+~P1(f329(f62(x81473),f329(f313(x81473,x81471,x81474),x81472)))
% 191.26/191.47 [8247]~P30(x82471,x82473,x82474,x82472)+P1(f329(f62(x82471),x82472))+~P1(f329(f62(x82473),f329(f312(x82471,x82473,x82474),x82472)))
% 191.26/191.47 [8267]~E(x82672,x82673)+P1(f329(f329(f331(f915(x82671,x82671)),f329(f329(f257(x82671,x82671),x82672),x82673)),f268(x82671,x82674)))+~P1(f329(f329(f331(x82671),x82672),x82674))
% 191.26/191.47 [8302]~P5(x83021)+E(f329(f329(f82(x83021),f329(f329(f6(a908,x83021),x83022),f305(a908,x83023,x83024))),f329(x83022,f329(a117,x83024))),f329(f329(f6(a908,x83021),x83022),f305(a908,x83023,f329(a117,x83024))))+P1(f329(f329(f241(a908),f329(a117,x83024)),x83023))
% 191.26/191.47 [8363]P1(f329(x83631,x83632))+~P1(f329(x83631,f329(f329(f167(x83633),x83634),f687(x83631,x83634,x83633))))+~P1(f329(f329(f331(x83633),x83632),f329(f175(x83633),x83634)))
% 191.26/191.47 [8504]~P1(f329(f329(f331(x85041),x85042),f318(x85041,x85044)))+P1(f329(f329(f331(f909(x85041)),f329(f329(f154(x85041),x85042),x85043)),f318(f909(x85041),f160(x85041,x85044))))+~P1(f329(f329(f331(f909(x85041)),x85043),f318(f909(x85041),f160(x85041,x85044))))
% 191.26/191.47 [8519]~P30(x85192,x85193,x85194,f651(x85194,x85193,x85192,x85191))+P30(x85192,x85193,x85194,f39(f916(x85192,a903),x85191))+E(x85191,f191(f916(f916(x85192,a903),a903)))
% 191.26/191.47 [8797]E(x87971,x87972)+~P1(f329(f329(f331(f915(x87973,x87973)),f329(f329(f257(x87973,x87973),x87971),x87972)),f309(x87973,x87974)))+P1(f329(f329(f331(x87973),x87971),f329(f269(x87973,x87973),x87974)))
% 191.26/191.47 [9066]E(x90661,f2(a908))+P1(f329(x90662,x90663))+P1(f329(f329(f331(x90664),f797(x90662,x90663,x90661,x90664)),f329(f175(x90664),f172(x90664,x90661,x90663))))
% 191.26/191.47 [9078]E(x90781,f2(a908))+~P1(f329(x90783,x90784))+P1(f329(f329(f331(x90782),f796(x90783,x90784,x90781,x90782)),f329(f175(x90782),f172(x90782,x90781,x90784))))
% 191.26/191.47 [9082]P30(x90822,x90823,x90824,f39(f916(x90822,a903),x90821))+E(x90821,f191(f916(f916(x90822,a903),a903)))+P1(f329(f329(f331(f916(x90822,a903)),f651(x90824,x90823,x90822,x90821)),x90821))
% 191.26/191.47 [9216]P1(f329(f62(x92161),x92162))+~P1(f329(f62(x92164),f329(f312(x92161,x92164,x92163),x92162)))+P1(f329(f329(f331(x92161),f562(x92163,x92164,x92162,x92161)),x92162))
% 191.26/191.47 [9321]~P10(x93212)+E(f329(f329(f65(x93211,x93212,f329(f329(f8(x93212,f916(x93212,x93212),x93211),f115(x93212)),x93213)),f191(x93212)),x93214),f329(f329(f40(x93211,x93212),x93214),x93213))+~P1(f329(f62(x93211),x93214))
% 191.26/191.47 [9322]~P10(x93222)+E(f329(f329(f65(x93221,x93222,f329(f329(f8(x93222,f916(x93222,x93222),x93221),f106(x93222)),x93223)),f247(x93222)),x93224),f329(f329(f41(x93221,x93222),x93224),x93223))+~P1(f329(f62(x93221),x93224))
% 191.26/191.47 [9401]P1(f329(x94011,x94012))+~P1(f329(x94011,f329(f329(f167(x94013),x94014),f726(x94012,x94011,x94014,x94013))))+~P1(f329(f329(f331(x94013),x94012),f329(f175(x94013),x94014)))
% 191.26/191.47 [9422]E(x94221,x94222)+~P1(f329(f329(f331(f915(x94223,x94223)),f329(f329(f257(x94223,x94223),x94221),x94222)),f309(x94223,x94224)))+P1(f329(f329(f331(f915(x94223,x94223)),f329(f329(f257(x94223,x94223),x94221),x94222)),f329(f329(f291(x94223,x94223,x94223),x94224),f309(x94223,x94224))))
% 191.26/191.47 [9472]~E(f329(f192(f909(x94721)),x94722),f329(f192(f909(x94721)),x94723))+~P1(f329(f329(f331(f915(f909(x94721),f909(x94721))),f329(f329(f257(f909(x94721),f909(x94721)),x94722),x94723)),f150(x94721,x94724)))+P1(f329(f329(f331(f915(f909(x94721),f909(x94721))),f329(f329(f257(f909(x94721),f909(x94721)),x94722),x94723)),f148(x94721,x94724)))
% 191.26/191.47 [9707]P37(x97071,f329(f329(f18(x97071,a903,a903),f329(f329(f8(a903,f916(a903,a903),x97071),a328),f329(f329(f8(a903,a903,x97071),a324),x97072))),f329(a326,x97073)),x97074)+~P1(f329(x97072,x97073))+~P41(x97071,x97072,f329(f329(f154(x97071),x97073),x97074))
% 191.26/191.47 [9873]~P37(x98731,f329(f329(f18(x98731,a903,a903),f329(f329(f8(a903,f916(a903,a903),x98731),a328),f329(f329(f8(a903,a903,x98731),a324),x98732))),f329(a326,x98733)),x98734)+~P1(f329(x98732,x98733))+P41(x98731,x98732,f329(f329(f154(x98731),x98733),x98734))
% 191.26/191.47 [9877]~P41(x98771,x98772,x98774)+~P37(x98771,f329(f329(f18(x98771,a903,a903),f329(f329(f8(a903,f916(a903,a903),x98771),a328),f329(f329(f8(a903,a903,x98771),a324),x98772))),f329(a326,x98773)),x98774)+P41(x98771,x98772,f329(f329(f154(x98771),x98773),x98774))
% 191.26/191.47 [9912]~P75(x99121)+E(f329(f329(f6(a908,x99121),f329(f329(f18(a908,x99121,x99121),f329(f329(f8(x99121,f916(x99121,x99121),a908),f23(x99121)),x99122)),f329(f329(f8(a908,x99121,a908),x99122),f329(f329(f7(a908,a908,a908),f82(a908)),f80(a908))))),f305(a908,x99123,x99124)),f2(x99121))+P1(f329(f329(f240(a908),x99123),x99124))
% 191.26/191.47 [10138]~P43(x101382,x101384)+~P30(x101382,x101381,x101383,f247(f916(x101382,a903)))+P43(x101381,f329(f312(f915(x101382,x101382),f915(x101381,x101381),f263(x101382,x101381,x101382,x101381,x101383,x101383)),x101384))
% 191.26/191.47 [10320]~E(f329(f192(f909(x103201)),x103203),f329(f192(f909(x103201)),x103202))+P1(f329(f329(f331(f915(f909(x103201),f909(x103201))),f329(f329(f257(f909(x103201),f909(x103201)),x103202),x103203)),f161(x103201,x103204)))+~P1(f329(f329(f262(x103201,x103201,a903),f329(f329(f7(x103201,f916(f915(x103201,x103201),a903),f916(x103201,a903)),f329(f329(f8(f916(x103201,f916(f916(f915(x103201,x103201),a903),a903)),f916(f916(f915(x103201,x103201),a903),f916(x103201,a903)),x103201),f7(x103201,f916(f915(x103201,x103201),a903),a903)),f329(f329(f8(f916(x103201,f915(x103201,x103201)),f916(x103201,f916(f916(f915(x103201,x103201),a903),a903)),x103201),f329(f8(f915(x103201,x103201),f916(f916(f915(x103201,x103201),a903),a903),x103201),f331(f915(x103201,x103201)))),f257(x103201,x103201)))),x103204)),f690(x103204,x103203,x103202,x103201)))
% 191.26/191.47 [6103]~E(x61034,x61032)+P1(f329(x61031,x61032))+P1(f329(f329(f197(f31(x61031,x61033)),x61032),x61034))
% 191.26/191.47 [6196]~P68(x61961)+~E(x61962,f2(x61961))+E(f329(f329(f37(x61961),f329(f329(f83(x61961),x61962),x61963)),f329(f329(f83(x61961),x61962),x61964)),f2(x61961))
% 191.26/191.47 [6238]E(x62381,f118(x62382))+E(x62383,f329(f329(f23(a908),f329(f192(f909(x62382)),x62381)),f80(a908)))+E(f147(x62382,f329(f329(f162(x62382,x62381),x62383),x62384)),f147(x62382,x62381))
% 191.26/191.47 [6270]E(x62701,x62702)+P1(f329(x62703,x62702))+~P1(f329(f329(f329(f311(x62704),x62701),x62703),x62702))
% 191.26/191.47 [6286]~P5(x62861)+~P1(f329(f140(x62862),x62864))+E(f329(f168(x62861),f329(f329(f157(x62862,x62861),x62863),x62864)),f329(f329(f6(x62862,x62861),x62863),f329(f175(x62862),x62864)))
% 191.26/191.47 [6301]~P80(x63012)+~P1(f329(f62(x63011),x63014))+E(f329(f329(f9(x63011,x63012),f329(f16(x63012,x63011),x63013)),x63014),f329(f329(f249(x63012),x63013),f329(f36(x63011),x63014)))
% 191.26/191.47 [6355]~P68(x63552)+E(x63551,f2(x63552))+E(f329(f329(f37(x63552),f329(f329(f83(x63552),x63553),x63551)),f329(f329(f83(x63552),x63554),x63551)),f329(f329(f37(x63552),x63553),x63554))
% 191.26/191.47 [6357]~P71(x63572)+E(x63571,f2(x63572))+E(f329(f329(f292(x63572),f329(f329(f83(x63572),x63573),x63571)),f329(f329(f83(x63572),x63574),x63571)),f329(f329(f292(x63572),x63573),x63574))
% 191.26/191.47 [6358]~P71(x63582)+E(x63581,f2(x63582))+E(f329(f329(f292(x63582),f329(f329(f83(x63582),x63581),x63583)),f329(f329(f83(x63582),x63581),x63584)),f329(f329(f292(x63582),x63583),x63584))
% 191.26/191.47 [6359]~P68(x63592)+E(x63591,f2(x63592))+E(f329(f329(f37(x63592),f329(f329(f83(x63592),x63591),x63593)),f329(f329(f83(x63592),x63591),x63594)),f329(f329(f37(x63592),x63593),x63594))
% 191.26/191.47 [6423]P1(f329(x64231,x64232))+~E(x64233,f329(f329(f82(a908),x64234),x64232))+~P1(f329(x64231,f329(f329(f23(a908),x64233),x64234)))
% 191.26/191.47 [6507]P34(x65071,x65072,x65073)+P33(x65071,f776(x65073,x65072,x65071),x65074)+~P1(f329(f329(f331(f907(x65071)),x65074),x65072))
% 191.26/191.47 [6510]~P1(f329(x65102,x65103))+~P1(f329(f163(x65101,x65102),x65104))+P1(f329(f163(x65101,x65102),f329(f329(f154(x65101),x65103),x65104)))
% 191.26/191.47 [6551]E(x65511,f118(x65512))+~E(x65513,f329(f329(f23(a908),f329(f192(f909(x65512)),x65511)),f80(a908)))+E(f147(x65512,f329(f329(f162(x65512,x65511),x65513),x65514)),x65514)
% 191.26/191.47 [6574]~P103(x65741)+~P1(f329(f329(f240(x65741),x65742),x65744))+P1(f329(f329(f240(x65741),x65742),f329(f329(f115(x65741),x65743),x65744)))
% 191.26/191.47 [6575]~P103(x65751)+~P1(f329(f329(f240(x65751),x65752),x65753))+P1(f329(f329(f240(x65751),x65752),f329(f329(f115(x65751),x65753),x65754)))
% 191.26/191.47 [6577]~P112(x65771)+~P1(f329(f329(f240(x65771),x65772),x65774))+P1(f329(f329(f240(x65771),x65772),f329(f329(f239(x65771),x65773),x65774)))
% 191.26/191.47 [6579]~P112(x65791)+~P1(f329(f329(f240(x65791),x65792),x65793))+P1(f329(f329(f240(x65791),x65792),f329(f329(f239(x65791),x65793),x65794)))
% 191.26/191.47 [6580]~P103(x65801)+~P1(f329(f329(f241(x65801),x65802),x65804))+P1(f329(f329(f241(x65801),x65802),f329(f329(f115(x65801),x65803),x65804)))
% 191.26/191.47 [6581]~P103(x65811)+~P1(f329(f329(f241(x65811),x65812),x65813))+P1(f329(f329(f241(x65811),x65812),f329(f329(f115(x65811),x65813),x65814)))
% 191.26/191.47 [6583]~P112(x65831)+~P1(f329(f329(f241(x65831),x65832),x65834))+P1(f329(f329(f241(x65831),x65832),f329(f329(f239(x65831),x65833),x65834)))
% 191.26/191.47 [6585]~P112(x65851)+~P1(f329(f329(f241(x65851),x65852),x65853))+P1(f329(f329(f241(x65851),x65852),f329(f329(f239(x65851),x65853),x65854)))
% 191.26/191.47 [6673]~E(f329(f329(f167(x66731),x66732),x66733),x66734)+E(f329(f329(f162(x66731,x66732),x66733),x66734),x66732)+~P1(f329(f329(f241(a908),x66733),f329(f192(f909(x66731)),x66732)))
% 191.26/191.47 [6691]E(x66911,x66912)+P1(f329(x66913,x66911))+~P1(f329(f329(f197(f31(x66913,x66914)),x66911),x66912))
% 191.26/191.47 [6715]P1(f329(x67151,x67152))+~P1(f329(x67153,x67152))+~P1(f329(f329(f240(f916(x67154,a903)),x67153),x67151))
% 191.26/191.47 [6746]~E(f329(f329(f162(x67461,x67462),x67463),x67464),x67462)+E(f329(f329(f167(x67461),x67462),x67463),x67464)+~P1(f329(f329(f241(a908),x67463),f329(f192(f909(x67461)),x67462)))
% 191.26/191.47 [6760]~P1(f329(f163(x67601,x67602),x67604))+~P1(f329(f163(x67601,x67602),x67603))+P1(f329(f163(x67601,x67602),f329(f329(f137(x67601),x67603),x67604)))
% 191.26/191.47 [6857]P33(x68571,x68572,x68573)+~P33(x68571,f329(a117,x68572),f551(x68572,x68574,x68571))+~P1(f329(f329(f331(f907(x68571)),x68573),x68574))
% 191.26/191.47 [6864]E(x68641,f191(f916(x68642,a903)))+E(x68643,f191(f916(x68644,a903)))+~E(f329(f329(f259(x68644,x68642),x68643),f329(f16(f916(x68642,a903),x68644),x68641)),f191(f916(f915(x68644,x68642),a903)))
% 191.26/191.47 [6884]E(x68841,x68842)+P1(f329(f329(f331(x68843),x68841),x68844))+~P1(f329(f329(f331(x68843),x68841),f329(f329(f311(x68843),x68842),x68844)))
% 191.26/191.47 [6901]~P112(x69011)+P1(f329(f329(f240(x69011),x69012),x69013))+~P1(f329(f329(f240(x69011),x69012),f329(f329(f238(x69011),x69014),x69013)))
% 191.26/191.47 [6903]~P112(x69031)+P1(f329(f329(f240(x69031),x69032),x69033))+~P1(f329(f329(f240(x69031),x69032),f329(f329(f238(x69031),x69033),x69034)))
% 191.26/191.47 [6905]~P104(x69051)+P1(f329(f329(f240(x69051),x69052),x69053))+~P1(f329(f329(f240(x69051),x69052),f329(f329(f106(x69051),x69054),x69053)))
% 191.26/191.47 [6907]~P104(x69071)+P1(f329(f329(f240(x69071),x69072),x69073))+~P1(f329(f329(f240(x69071),x69072),f329(f329(f106(x69071),x69073),x69074)))
% 191.26/191.47 [6908]~P112(x69081)+P1(f329(f329(f241(x69081),x69082),x69083))+~P1(f329(f329(f241(x69081),x69082),f329(f329(f238(x69081),x69084),x69083)))
% 191.26/191.47 [6909]~P112(x69091)+P1(f329(f329(f241(x69091),x69092),x69093))+~P1(f329(f329(f241(x69091),x69092),f329(f329(f238(x69091),x69093),x69094)))
% 191.26/191.47 [6930]~E(f329(f329(f167(x69301),x69303),x69304),x69302)+P1(f329(f329(f331(x69301),x69302),f329(f175(x69301),x69303)))+~P1(f329(f329(f241(a908),x69304),f329(f192(f909(x69301)),x69303)))
% 191.26/191.47 [6940]~P112(x69401)+~P18(x69401,f329(f329(f154(x69401),x69402),f329(f329(f154(x69401),x69403),x69404)))+P1(f329(f329(f240(x69401),x69402),x69403))
% 191.26/191.47 [7082]~P37(x70822,x70821,x70823)+P1(f329(x70821,f329(f329(f167(x70822),x70823),x70824)))+~P1(f329(f329(f241(a908),x70824),f329(f192(f909(x70822)),x70823)))
% 191.26/191.47 [7100]E(x71001,f2(a1))+E(f329(f329(f37(a1),x71002),x71001),x71003)+~P1(f329(f50(x71002,x71001),f329(f329(f257(a1,a1),x71003),x71004)))
% 191.26/191.47 [7121]E(f46(a1,x71212,x71211),x71213)+E(x71211,f2(a1))+~P1(f329(f50(x71212,x71211),f329(f329(f257(a1,a1),x71214),x71213)))
% 191.26/191.47 [7240]P1(f329(f329(f331(x72401),x72402),x72403))+~P1(f329(f329(f331(x72401),x72402),x72404))+~P1(f329(f329(f241(f916(x72401,a903)),x72404),x72403))
% 191.26/191.47 [7241]P1(f329(f329(f331(x72411),x72412),x72413))+~P1(f329(f329(f331(x72411),x72412),x72414))+~P1(f329(f329(f240(f916(x72411,a903)),x72414),x72413))
% 191.26/191.47 [7353]P39(x73531,x73532,x73533)+~P1(f329(x73532,f329(f329(f167(x73531),x73533),x73534)))+~P1(f329(f329(f241(a908),x73534),f329(f192(f909(x73531)),x73533)))
% 191.26/191.47 [7474]~P113(x74742)+~P1(f329(f329(f241(f916(x74741,x74742)),x74743),x74744))+P1(f329(f329(f240(f916(x74741,x74742)),x74743),x74744))
% 191.26/191.47 [7561]~P29(x75611,x75612,x75614)+P29(x75611,x75612,f329(f329(f311(f907(x75611)),x75613),x75614))+~P29(x75611,x75612,f329(f329(f311(f907(x75611)),x75613),f191(f916(f907(x75611),a903))))
% 191.26/191.47 [7604]~P1(f329(f329(f331(x76041),x76042),x76044))+P1(f329(f329(f331(x76041),x76042),f38(f916(x76041,a903),x76043)))+~P1(f329(f329(f331(f916(x76041,a903)),x76044),x76043))
% 191.26/191.47 [7614]P33(x76141,x76142,x76143)+P1(f329(f329(f331(f907(x76141)),f551(x76142,x76144,x76141)),x76144))+~P1(f329(f329(f331(f907(x76141)),x76143),x76144))
% 191.26/191.47 [7633]~P84(x76331)+~P1(f329(f329(f240(x76331),x76333),x76334))+P1(f329(f329(f240(x76331),f329(f329(f82(x76331),x76332),x76333)),f329(f329(f82(x76331),x76332),x76334)))
% 191.26/191.47 [7634]~P85(x76341)+~P1(f329(f329(f240(x76341),x76343),x76344))+P1(f329(f329(f240(x76341),f329(f329(f82(x76341),x76342),x76343)),f329(f329(f82(x76341),x76342),x76344)))
% 191.26/191.47 [7635]~P84(x76351)+~P1(f329(f329(f240(x76351),x76352),x76354))+P1(f329(f329(f240(x76351),f329(f329(f82(x76351),x76352),x76353)),f329(f329(f82(x76351),x76354),x76353)))
% 191.26/191.47 [7636]~P85(x76361)+~P1(f329(f329(f240(x76361),x76362),x76364))+P1(f329(f329(f240(x76361),f329(f329(f82(x76361),x76362),x76363)),f329(f329(f82(x76361),x76364),x76363)))
% 191.26/191.47 [7637]~P84(x76371)+~P1(f329(f329(f241(x76371),x76373),x76374))+P1(f329(f329(f241(x76371),f329(f329(f82(x76371),x76372),x76373)),f329(f329(f82(x76371),x76372),x76374)))
% 191.26/191.47 [7638]~P91(x76381)+~P1(f329(f329(f241(x76381),x76383),x76384))+P1(f329(f329(f241(x76381),f329(f329(f82(x76381),x76382),x76383)),f329(f329(f82(x76381),x76382),x76384)))
% 191.26/191.47 [7639]~P84(x76391)+~P1(f329(f329(f241(x76391),x76392),x76394))+P1(f329(f329(f241(x76391),f329(f329(f82(x76391),x76392),x76393)),f329(f329(f82(x76391),x76394),x76393)))
% 191.26/191.47 [7640]~P91(x76401)+~P1(f329(f329(f241(x76401),x76402),x76404))+P1(f329(f329(f241(x76401),f329(f329(f82(x76401),x76402),x76403)),f329(f329(f82(x76401),x76404),x76403)))
% 191.26/191.47 [7647]~P96(x76471)+~P142(x76471)+E(f329(f329(f82(x76471),f329(f329(f83(x76471),x76472),f329(f108(x76471),x76473))),f329(f329(f83(x76471),x76474),f329(f108(x76471),x76473))),f329(f329(f83(x76471),f329(f329(f82(x76471),x76472),x76474)),f329(f108(x76471),x76473)))
% 191.26/191.47 [7648]~P96(x76481)+~P130(x76481)+E(f329(f329(f23(x76481),f329(f329(f83(x76481),x76482),f329(f108(x76481),x76483))),f329(f329(f83(x76481),x76484),f329(f108(x76481),x76483))),f329(f329(f83(x76481),f329(f329(f23(x76481),x76482),x76484)),f329(f108(x76481),x76483)))
% 191.26/191.47 [7684]~P5(x76841)+E(f329(f329(f82(x76841),f329(x76842,x76843)),f329(f329(f6(a908,x76841),x76842),f305(a908,f329(a117,x76843),x76844))),f329(f329(f6(a908,x76841),x76842),f305(a908,x76843,x76844)))+~P1(f329(f329(f240(a908),x76843),x76844))
% 191.26/191.47 [7696]~P30(x76962,x76961,x76963,f329(f175(x76962),x76964))+~P1(f329(f140(x76962),x76964))+P1(f329(f140(x76961),f329(f329(f157(x76962,x76961),x76963),x76964)))
% 191.26/191.47 [7743]~P1(f329(f329(f240(a908),x77432),x77434))+~P1(f329(f329(f240(a908),x77431),x77433))+P1(f329(f329(f240(a908),f329(f329(f82(a908),x77431),x77432)),f329(f329(f82(a908),x77433),x77434)))
% 191.26/191.47 [7744]~P1(f329(f329(f240(a908),x77442),x77444))+~P1(f329(f329(f240(a908),x77441),x77443))+P1(f329(f329(f240(a908),f329(f329(f83(a908),x77441),x77442)),f329(f329(f83(a908),x77443),x77444)))
% 191.26/191.47 [7745]~P1(f329(f329(f241(a908),x77452),x77454))+~P1(f329(f329(f241(a908),x77451),x77453))+P1(f329(f329(f241(a908),f329(f329(f82(a908),x77451),x77452)),f329(f329(f82(a908),x77453),x77454)))
% 191.26/191.47 [7748]~P1(f329(f329(f240(a1),x77482),x77484))+~P1(f329(f329(f241(a1),x77481),x77483))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x77481),x77482)),f329(f329(f82(a1),x77483),x77484)))
% 191.26/191.47 [7797]P1(f329(f329(f331(x77971),x77972),x77973))+~P1(f329(f329(f331(x77971),x77972),f39(f916(x77971,a903),x77974)))+~P1(f329(f329(f331(f916(x77971,a903)),x77973),x77974))
% 191.26/191.47 [7813]~P1(f329(x78131,f685(x78131,x78133,x78132)))+P1(f329(x78131,f329(f329(f167(x78132),x78133),x78134)))+~P1(f329(f329(f241(a908),x78134),f329(f192(f909(x78132)),x78133)))
% 191.26/191.47 [7818]P1(f329(x78181,x78182))+~P1(f329(f329(f331(x78184),x78182),f329(f175(x78184),x78183)))+P1(f329(f329(f241(a908),f687(x78181,x78183,x78184)),f329(f192(f909(x78184)),x78183)))
% 191.26/191.47 [7835]~P1(f329(f329(f197(x78352),x78353),x78354))+~P1(f329(f329(f197(f31(x78351,x78352)),x78354),x78353))+P1(f329(f329(f197(f31(x78351,x78352)),x78353),x78353))
% 191.26/191.47 [7866]~P113(x78661)+~P1(f329(f329(f241(f916(x78662,x78661)),x78664),x78663))+~P1(f329(f329(f240(f916(x78662,x78661)),x78663),x78664))
% 191.26/191.47 [7912]~P1(f329(x79124,x79122))+~P1(f329(f329(f331(x79121),x79122),x79123))+P1(f329(f329(f331(x79121),x79122),f329(f329(f106(f916(x79121,a903)),x79123),f329(f267(x79121),x79124))))
% 191.26/191.47 [8063]~P1(f329(f329(f331(x80631),x80633),x80634))+~P1(f329(f329(f241(f916(x80631,a903)),x80632),x80634))+P1(f329(f329(f241(f916(x80631,a903)),x80632),f329(f329(f311(x80631),x80633),x80634)))
% 191.26/191.47 [8065]E(f329(f329(f106(f916(x80651,a903)),x80652),x80653),f191(f916(x80651,a903)))+~E(f329(f329(f106(f916(x80651,a903)),f38(f916(x80651,a903),x80654)),x80653),f191(f916(x80651,a903)))+~P1(f329(f329(f331(f916(x80651,a903)),x80652),x80654))
% 191.26/191.47 [8143]P1(f329(f329(f331(x81431),x81432),x81433))+~P1(f329(f329(f240(f916(x81431,a903)),x81433),f329(f329(f311(x81431),x81432),x81434)))+P1(f329(f329(f240(f916(x81431,a903)),x81433),x81434))
% 191.26/191.47 [8165]P1(f329(f329(f331(x81652),f685(x81651,x81653,x81652)),f329(f175(x81652),x81653)))+P1(f329(x81651,f329(f329(f167(x81652),x81653),x81654)))+~P1(f329(f329(f241(a908),x81654),f329(f192(f909(x81652)),x81653)))
% 191.26/191.47 [8173]~P1(f329(f329(f240(f916(x81731,a903)),x81732),x81734))+P1(f329(f329(f240(f916(x81731,a903)),x81732),x81733))+~P1(f329(f329(f240(f916(x81731,a903)),x81734),x81733))
% 191.26/191.47 [8174]~P1(f329(f329(f241(f916(x81741,a903)),x81742),x81744))+~P1(f329(f329(f240(f916(x81741,a903)),x81744),x81743))+P1(f329(f329(f241(f916(x81741,a903)),x81742),x81743))
% 191.26/191.47 [8175]~P1(f329(f329(f240(f916(x81751,a903)),x81752),x81754))+~P1(f329(f329(f241(f916(x81751,a903)),x81754),x81753))+P1(f329(f329(f241(f916(x81751,a903)),x81752),x81753))
% 191.26/191.47 [8176]~P1(f329(f329(f241(f916(x81761,a903)),x81762),x81764))+P1(f329(f329(f241(f916(x81761,a903)),x81762),x81763))+~P1(f329(f329(f241(f916(x81761,a903)),x81764),x81763))
% 191.26/191.47 [8220]~P1(f329(f329(f331(x82201),x82204),x82203))+~P1(f329(f329(f241(f916(x82201,a903)),x82202),f329(f329(f311(x82201),x82204),x82203)))+P1(f329(f329(f241(f916(x82201,a903)),x82202),x82203))
% 191.26/191.47 [8233]~P84(x82331)+P1(f329(f329(f240(x82331),x82332),x82333))+~P1(f329(f329(f240(x82331),f329(f329(f82(x82331),x82334),x82332)),f329(f329(f82(x82331),x82334),x82333)))
% 191.26/191.47 [8235]~P84(x82351)+P1(f329(f329(f240(x82351),x82352),x82353))+~P1(f329(f329(f240(x82351),f329(f329(f82(x82351),x82352),x82354)),f329(f329(f82(x82351),x82353),x82354)))
% 191.26/191.47 [8237]~P84(x82371)+P1(f329(f329(f241(x82371),x82372),x82373))+~P1(f329(f329(f241(x82371),f329(f329(f82(x82371),x82374),x82372)),f329(f329(f82(x82371),x82374),x82373)))
% 191.26/191.47 [8239]~P84(x82391)+P1(f329(f329(f241(x82391),x82392),x82393))+~P1(f329(f329(f241(x82391),f329(f329(f82(x82391),x82392),x82394)),f329(f329(f82(x82391),x82393),x82394)))
% 191.26/191.47 [8285]P1(f329(x82851,x82852))+~E(f329(f329(f141(x82853),f329(f192(f909(x82853)),f180(x82853,x82851,x82854))),x82854),f118(x82853))+~P1(f329(f329(f331(x82853),x82852),f329(f175(x82853),x82854)))
% 191.26/191.47 [8405]P1(f329(x84051,x84052))+~P1(f329(f329(f331(x84053),x84052),f329(f175(x84053),x84054)))+P1(f329(f329(f241(a908),f329(f192(f909(x84053)),f329(f139(x84053,x84051),x84054))),f329(f192(f909(x84053)),x84054)))
% 191.26/191.47 [8536]E(x85361,x85362)+P1(f329(f329(f197(x85363),x85361),f570(x85362,x85361,x85363,x85364)))+~P1(f329(f329(f197(f31(x85364,x85363)),x85361),x85362))
% 191.26/191.47 [8565]~P1(f329(x85654,x85652))+P1(f329(f329(f197(x85651),x85652),f570(x85653,x85652,x85651,x85654)))+~P1(f329(f329(f197(f31(x85654,x85651)),x85652),x85653))
% 191.26/191.47 [8891]~P1(f329(x88911,f778(x88911,x88913,x88912,x88914)))+P1(f329(x88911,f329(f329(f167(x88912),x88913),x88914)))+~P1(f329(f329(f241(a908),x88914),f329(f192(f909(x88912)),x88913)))
% 191.26/191.47 [8916]~P30(x89164,x89163,x89161,f247(f916(x89164,a903)))+E(f329(x89161,f486(x89162,x89161,x89163,x89164)),x89162)+~P1(f329(f329(f331(x89163),x89162),f329(f312(x89164,x89163,x89161),f247(f916(x89164,a903)))))
% 191.26/191.47 [8980]E(f180(x89801,x89802,x89803),f329(f329(f178(x89801),x89804),x89803))+P1(f329(f329(f241(a908),f748(x89802,x89803,x89801,x89804)),x89804))+P1(f329(f329(f241(a908),x89804),f329(f192(f909(x89801)),x89803)))
% 191.26/191.47 [8983]E(f180(x89831,x89832,x89833),f329(f329(f178(x89831),x89834),x89833))+P1(f329(f329(f241(a908),f748(x89832,x89833,x89831,x89834)),x89834))+P1(f329(x89832,f329(f329(f167(x89831),x89833),x89834)))
% 191.26/191.47 [9019]P1(f329(x90191,x90192))+~P1(f329(f329(f331(x90194),x90192),f329(f175(x90194),x90193)))+P1(f329(f329(f241(a908),f726(x90192,x90191,x90193,x90194)),f329(f192(f909(x90194)),x90193)))
% 191.26/191.47 [9022]E(f180(x90221,x90222,x90223),f329(f329(f178(x90221),x90224),x90223))+P1(f329(f329(f241(a908),x90224),f329(f192(f909(x90221)),x90223)))+P1(f329(f329(f241(a908),f748(x90222,x90223,x90221,x90224)),f329(f192(f909(x90221)),x90223)))
% 191.26/191.47 [9029]E(f180(x90291,x90292,x90293),f329(f329(f178(x90291),x90294),x90293))+P1(f329(x90292,f329(f329(f167(x90291),x90293),x90294)))+P1(f329(f329(f241(a908),f748(x90292,x90293,x90291,x90294)),f329(f192(f909(x90291)),x90293)))
% 191.26/191.47 [9058]~P127(x90584)+P1(f329(f329(f331(x90581),f672(x90582,x90583,x90581,x90584)),x90583))+P1(f329(f329(f241(x90584),f2(x90584)),f329(f329(f9(x90581,x90584),x90582),x90583)))
% 191.26/191.47 [9059]~P127(x90594)+P1(f329(f329(f331(x90591),f673(x90592,x90593,x90591,x90594)),x90593))+P1(f329(f329(f240(x90594),f2(x90594)),f329(f329(f9(x90591,x90594),x90592),x90593)))
% 191.26/191.47 [9084]~P1(f329(f62(x90841),x90844))+P1(f329(f329(f331(x90841),f511(x90842,x90843,x90844,x90841)),x90844))+P1(f329(f62(f915(x90841,x90843)),f329(f329(f259(x90841,x90843),x90844),x90842)))
% 191.26/191.47 [9116]P1(f329(f329(f331(x91162),f778(x91161,x91163,x91162,x91164)),f329(f175(x91162),x91163)))+P1(f329(x91161,f329(f329(f167(x91162),x91163),x91164)))+~P1(f329(f329(f241(a908),x91164),f329(f192(f909(x91162)),x91163)))
% 191.26/191.47 [9131]E(x91311,x91312)+P1(f329(f329(f197(f31(x91313,x91314)),f570(x91311,x91312,x91314,x91313)),x91311))+~P1(f329(f329(f197(f31(x91313,x91314)),x91312),x91311))
% 191.26/191.47 [9152]~P1(f329(x91521,x91524))+P1(f329(f329(f197(f31(x91521,x91522)),f570(x91523,x91524,x91522,x91521)),x91523))+~P1(f329(f329(f197(f31(x91521,x91522)),x91524),x91523))
% 191.26/191.47 [9248]P1(f329(f329(f240(a908),x92484),f329(f192(f909(x92482)),f180(x92482,x92483,x92481))))+P1(f329(f329(f241(a908),f749(x92481,x92482,x92483,x92484)),x92484))+~P1(f329(f329(f240(a908),x92484),f329(f192(f909(x92482)),x92481)))
% 191.26/191.47 [9405]E(f180(x94051,x94052,x94053),f329(f329(f178(x94051),x94054),x94053))+~P1(f329(x94052,f329(f329(f167(x94051),x94053),f748(x94052,x94053,x94051,x94054))))+P1(f329(f329(f241(a908),x94054),f329(f192(f909(x94051)),x94053)))
% 191.26/191.47 [9412]E(f180(x94121,x94122,x94123),f329(f329(f178(x94121),x94124),x94123))+~P1(f329(x94122,f329(f329(f167(x94121),x94123),f748(x94122,x94123,x94121,x94124))))+P1(f329(x94122,f329(f329(f167(x94121),x94123),x94124)))
% 191.26/191.47 [9416]~P1(f329(f62(x94161),x94163))+~P1(f329(f62(x94162),f329(x94164,f511(x94164,x94162,x94163,x94161))))+P1(f329(f62(f915(x94161,x94162)),f329(f329(f259(x94161,x94162),x94163),x94164)))
% 191.26/191.47 [9424]~P127(x94241)+~P1(f329(f329(f240(x94241),f2(x94241)),f329(x94243,f673(x94243,x94244,x94242,x94241))))+P1(f329(f329(f240(x94241),f2(x94241)),f329(f329(f9(x94242,x94241),x94243),x94244)))
% 191.26/191.47 [9425]~P127(x94251)+~P1(f329(f329(f241(x94251),f2(x94251)),f329(x94253,f672(x94253,x94254,x94252,x94251))))+P1(f329(f329(f241(x94251),f2(x94251)),f329(f329(f9(x94252,x94251),x94253),x94254)))
% 191.26/191.47 [9433]~E(f329(f192(f909(x94334)),x94332),f329(f192(f909(x94334)),x94333))+P1(f329(f329(f331(f915(f909(x94334),f909(x94334))),f329(f329(f257(f909(x94334),f909(x94334)),x94333),x94332)),f161(x94334,x94331)))+P1(f329(f329(f241(a908),f674(x94331,x94332,x94333,x94334)),f329(f192(f909(x94334)),x94333)))
% 191.26/191.47 [9485]~P1(f329(x94853,f329(f329(f167(x94852),x94854),f749(x94854,x94852,x94853,x94851))))+P1(f329(f329(f240(a908),x94851),f329(f192(f909(x94852)),f180(x94852,x94853,x94854))))+~P1(f329(f329(f240(a908),x94851),f329(f192(f909(x94852)),x94854)))
% 191.26/191.47 [9564]E(f329(f329(f178(x95641),f686(x95642,x95643,x95644,x95641)),x95643),f329(f329(f178(x95641),f686(x95642,x95643,x95644,x95641)),x95644))+~P1(f329(f329(f331(f915(f909(x95641),f909(x95641))),f329(f329(f257(f909(x95641),f909(x95641)),x95644),x95643)),f150(x95641,x95642)))+P1(f329(f329(f241(a908),f329(f192(f909(x95641)),x95644)),f329(f192(f909(x95641)),x95643)))
% 191.26/191.47 [9622]~P1(f329(f329(f241(a908),f2(a908)),x96223))+~P1(f329(f329(f241(a908),x96224),x96221))+P1(f329(f329(f241(a908),f329(f329(f82(a908),f329(f329(f83(a908),x96221),f46(a908,x96222,x96223))),x96224)),f329(f329(f83(a908),x96221),x96223)))
% 191.26/191.47 [9814]~P113(x98142)+~P1(f329(f329(f240(x98142),f329(x98143,f678(x98144,x98143,x98141,x98142))),f329(x98144,f678(x98144,x98143,x98141,x98142))))+P1(f329(f329(f240(f916(x98141,x98142)),x98143),x98144))
% 191.26/191.47 [9916]~P75(x99161)+E(f329(f329(f6(a908,x99161),f329(f329(f18(a908,x99161,x99161),f329(f329(f8(x99161,f916(x99161,x99161),a908),f23(x99161)),x99162)),f329(f329(f8(a908,x99161,a908),x99162),f329(f329(f7(a908,a908,a908),f82(a908)),f80(a908))))),f305(a908,x99163,x99164)),f329(f329(f23(x99161),f329(x99162,x99163)),f329(x99162,f329(f329(f82(a908),x99164),f80(a908)))))+~P1(f329(f329(f240(a908),x99163),x99164))
% 191.26/191.47 [6934]E(f329(f329(f137(x69341),x69342),x69343),x69344)+~E(x69343,f329(f329(f141(x69341),f329(f192(f909(x69341)),x69342)),x69344))+~E(f329(f329(f178(x69341),f329(f192(f909(x69341)),x69342)),x69344),x69342)
% 191.26/191.47 [6987]~P72(x69872)+E(x69871,f2(x69872))+E(f329(f329(f292(x69872),f329(f329(f249(x69872),x69873),x69874)),f329(f329(f249(x69872),x69871),x69874)),f329(f329(f249(x69872),f329(f329(f292(x69872),x69873),x69871)),x69874))
% 191.26/191.47 [7137]~P104(x71371)+~P1(f329(f329(f240(x71371),x71373),x71374))+P1(f329(f329(f240(x71371),f329(f329(f106(x71371),x71372),x71373)),x71374))
% 191.26/191.47 [7138]~P104(x71381)+~P1(f329(f329(f240(x71381),x71382),x71384))+P1(f329(f329(f240(x71381),f329(f329(f106(x71381),x71382),x71383)),x71384))
% 191.26/191.47 [7140]~P112(x71401)+~P1(f329(f329(f240(x71401),x71403),x71404))+P1(f329(f329(f240(x71401),f329(f329(f238(x71401),x71402),x71403)),x71404))
% 191.26/191.47 [7142]~P112(x71421)+~P1(f329(f329(f240(x71421),x71422),x71424))+P1(f329(f329(f240(x71421),f329(f329(f238(x71421),x71422),x71423)),x71424))
% 191.26/191.47 [7143]~P104(x71431)+~P1(f329(f329(f241(x71431),x71433),x71434))+P1(f329(f329(f241(x71431),f329(f329(f106(x71431),x71432),x71433)),x71434))
% 191.26/191.47 [7144]~P104(x71441)+~P1(f329(f329(f241(x71441),x71442),x71444))+P1(f329(f329(f241(x71441),f329(f329(f106(x71441),x71442),x71443)),x71444))
% 191.26/191.47 [7146]~P112(x71461)+~P1(f329(f329(f241(x71461),x71463),x71464))+P1(f329(f329(f241(x71461),f329(f329(f238(x71461),x71462),x71463)),x71464))
% 191.26/191.47 [7148]~P112(x71481)+~P1(f329(f329(f241(x71481),x71482),x71484))+P1(f329(f329(f241(x71481),f329(f329(f238(x71481),x71482),x71483)),x71484))
% 191.26/191.47 [7171]~P1(f329(x71713,x71714))+~P1(f329(x71712,x71714))+P1(f329(f329(f329(f106(f916(x71711,a903)),x71712),x71713),x71714))
% 191.26/191.47 [7295]P29(x72951,x72952,x72953)+~P29(x72951,x72954,x72953)+~P1(f329(f329(f240(f916(f907(x72951),a903)),x72954),x72952))
% 191.26/191.47 [7296]P29(x72961,x72962,x72963)+~P29(x72961,x72962,x72964)+~P1(f329(f329(f240(f916(f907(x72961),a903)),x72963),x72964))
% 191.26/191.47 [7674]~P5(x76741)+E(f329(f329(f82(x76741),f329(x76742,x76743)),f329(f329(f6(a908,x76741),x76742),f329(f304(a908,f329(a117,x76743)),x76744))),f329(f329(f6(a908,x76741),x76742),f329(f304(a908,x76743),x76744)))+~P1(f329(f329(f241(a908),x76743),x76744))
% 191.26/191.47 [7692]E(x76921,x76922)+P1(f329(f329(f175(x76923),x76924),x76922))+~P1(f329(f329(f175(x76923),f329(f329(f154(x76923),x76921),x76924)),x76922))
% 191.26/191.47 [7704]~P103(x77041)+P1(f329(f329(f240(x77041),x77042),x77043))+~P1(f329(f329(f240(x77041),f329(f329(f115(x77041),x77044),x77042)),x77043))
% 191.26/191.47 [7706]~P103(x77061)+P1(f329(f329(f240(x77061),x77062),x77063))+~P1(f329(f329(f240(x77061),f329(f329(f115(x77061),x77062),x77064)),x77063))
% 191.26/191.47 [7708]~P112(x77081)+P1(f329(f329(f240(x77081),x77082),x77083))+~P1(f329(f329(f240(x77081),f329(f329(f239(x77081),x77084),x77082)),x77083))
% 191.26/191.47 [7710]~P112(x77101)+P1(f329(f329(f240(x77101),x77102),x77103))+~P1(f329(f329(f240(x77101),f329(f329(f239(x77101),x77102),x77104)),x77103))
% 191.26/191.47 [7711]~P112(x77111)+P1(f329(f329(f241(x77111),x77112),x77113))+~P1(f329(f329(f241(x77111),f329(f329(f239(x77111),x77114),x77112)),x77113))
% 191.26/191.47 [7712]~P112(x77121)+P1(f329(f329(f241(x77121),x77122),x77123))+~P1(f329(f329(f241(x77121),f329(f329(f239(x77121),x77122),x77124)),x77123))
% 191.26/191.47 [7788]~P1(f329(f329(f331(x77881),x77882),x77884))+P1(f329(f329(f331(x77881),x77882),x77883))+P1(f329(f329(f331(x77881),x77882),f329(f329(f23(f916(x77881,a903)),x77884),x77883)))
% 191.26/191.47 [7873]P1(f329(x78731,x78732))+P1(f329(x78733,x78732))+~P1(f329(f329(f329(f115(f916(x78734,a903)),x78733),x78731),x78732))
% 191.26/191.47 [7884]~P1(f329(f329(f331(x78841),x78842),x78844))+~P1(f329(f329(f331(x78841),x78842),x78843))+P1(f329(f329(f331(x78841),x78842),f329(f329(f106(f916(x78841,a903)),x78843),x78844)))
% 191.26/191.47 [7940]~P103(x79401)+~P1(f329(f62(x79401),x79404))+E(f329(f329(f65(x79401,x79401,f115(x79401)),x79402),f329(f329(f311(x79401),x79403),x79404)),f329(f329(f115(x79401),x79403),f329(f329(f65(x79401,x79401,f115(x79401)),x79402),x79404)))
% 191.26/191.47 [7941]~P104(x79411)+~P1(f329(f62(x79411),x79414))+E(f329(f329(f65(x79411,x79411,f106(x79411)),x79412),f329(f329(f311(x79411),x79413),x79414)),f329(f329(f106(x79411),x79413),f329(f329(f65(x79411,x79411,f106(x79411)),x79412),x79414)))
% 191.26/191.47 [7942]~P112(x79421)+~P1(f329(f62(x79421),x79424))+E(f329(f329(f65(x79421,x79421,f238(x79421)),x79422),f329(f329(f311(x79421),x79423),x79424)),f329(f329(f238(x79421),x79423),f329(f329(f65(x79421,x79421,f238(x79421)),x79422),x79424)))
% 191.26/191.47 [7943]~P112(x79431)+~P1(f329(f62(x79431),x79434))+E(f329(f329(f65(x79431,x79431,f239(x79431)),x79432),f329(f329(f311(x79431),x79433),x79434)),f329(f329(f239(x79431),x79433),f329(f329(f65(x79431,x79431,f239(x79431)),x79432),x79434)))
% 191.26/191.47 [7944]~P96(x79441)+~P142(x79441)+E(f329(f329(f82(x79441),f329(f329(f83(x79441),f329(f108(x79441),x79442)),x79443)),f329(f329(f83(x79441),f329(f108(x79441),x79442)),x79444)),f329(f329(f83(x79441),f329(f108(x79441),x79442)),f329(f329(f82(x79441),x79443),x79444)))
% 191.26/191.47 [7945]~P96(x79451)+~P130(x79451)+E(f329(f329(f23(x79451),f329(f329(f83(x79451),f329(f108(x79451),x79452)),x79453)),f329(f329(f83(x79451),f329(f108(x79451),x79452)),x79454)),f329(f329(f83(x79451),f329(f108(x79451),x79452)),f329(f329(f23(x79451),x79453),x79454)))
% 191.26/191.47 [8060]E(x80601,x80602)+P1(f329(f329(f331(x80603),x80601),f329(f175(x80603),x80604)))+~P1(f329(f329(f331(x80603),x80601),f329(f175(x80603),f329(f329(f154(x80603),x80602),x80604))))
% 191.26/191.47 [8245]P62(x82451,x82452,x82453)+~P62(x82451,x82452,x82454)+~P1(f329(f329(f240(f916(f915(x82451,x82452),a903)),x82453),x82454))
% 191.26/191.47 [8287]P1(f329(f329(f331(x82871),x82872),x82873))+P1(f329(f329(f331(x82871),x82872),x82874))+~P1(f329(f329(f331(x82871),x82872),f329(f329(f115(f916(x82871,a903)),x82874),x82873)))
% 191.26/191.47 [8298]~P60(x82981,x82984,x82983)+~P1(f329(f329(f331(x82981),x82982),x82984))+P1(f329(f329(f331(f915(x82981,x82981)),f329(f329(f257(x82981,x82981),x82982),x82982)),x82983))
% 191.26/191.47 [8310]~P1(f329(f62(x83102),x83104))+~P1(f329(f62(x83101),x83103))+P1(f329(f62(f915(x83101,x83102)),f329(f329(f259(x83101,x83102),x83103),f329(f16(f916(x83102,a903),x83101),x83104))))
% 191.26/191.47 [8311]~P1(f329(f329(f331(x83111),x83112),x83114))+~P1(f329(f329(f240(f916(x83111,a903)),x83113),x83114))+P1(f329(f329(f240(f916(x83111,a903)),f329(f329(f311(x83111),x83112),x83113)),x83114))
% 191.26/191.47 [8318]~P109(x83182)+~P80(x83182)+E(f329(f329(f9(x83181,x83182),f329(f329(f8(a908,x83182,x83181),f105(x83182)),x83183)),x83184),f329(f105(x83182),f329(f329(f9(x83181,a908),x83183),x83184)))
% 191.26/191.47 [8319]~P120(x83192)+~P80(x83192)+E(f329(f329(f9(x83191,x83192),f329(f329(f8(a1,x83192,x83191),f107(x83192)),x83193)),x83194),f329(f107(x83192),f329(f329(f9(x83191,a1),x83193),x83194)))
% 191.26/191.47 [8344]E(f329(f329(f23(f916(x83441,a903)),x83442),f329(f329(f23(f916(x83441,a903)),x83443),x83444)),x83444)+~P1(f329(f329(f240(f916(x83441,a903)),x83442),x83443))+~P1(f329(f329(f240(f916(x83441,a903)),x83444),x83442))
% 191.26/191.47 [8443]~P1(f329(f62(x84431),x84434))+E(f329(f329(f23(a908),f329(f329(f6(x84431,a908),x84432),x84433)),f329(f329(f6(x84431,a908),x84432),x84434)),f329(f329(f6(x84431,a908),x84432),f329(f329(f23(f916(x84431,a903)),x84433),x84434)))+~P1(f329(f329(f240(f916(x84431,a903)),x84434),x84433))
% 191.26/191.47 [8600]~P13(x86001,x86004,x86003)+~P1(f329(f329(f331(x86001),x86002),x86004))+P1(f329(f329(f331(x86001),x86002),f329(f288(x86001,x86001,x86003),f329(f329(f311(x86001),x86002),f191(f916(x86001,a903))))))
% 191.26/191.47 [8668]~P1(f329(f329(f240(f916(x86681,a903)),x86682),x86683))+~P1(f329(f329(f240(f916(x86681,a903)),x86682),x86684))+P1(f329(f329(f240(f916(x86681,a903)),x86682),f329(f329(f106(f916(x86681,a903)),x86683),x86684)))
% 191.26/191.47 [8765]E(x87651,f191(f916(x87652,a903)))+P1(f329(f62(x87653),x87654))+~P1(f329(f62(f915(x87653,x87652)),f329(f329(f259(x87653,x87652),x87654),f329(f16(f916(x87652,a903),x87653),x87651))))
% 191.26/191.47 [8766]E(x87661,f191(f916(x87662,a903)))+P1(f329(f62(x87663),x87664))+~P1(f329(f62(f915(x87662,x87663)),f329(f329(f259(x87662,x87663),x87661),f329(f16(f916(x87663,a903),x87662),x87664))))
% 191.26/191.47 [8833]P1(f329(f329(f331(x88331),x88332),f318(x88331,x88333)))+~P1(f329(f329(f331(x88331),x88334),f318(x88331,x88333)))+~P1(f329(f329(f331(f915(x88331,x88331)),f329(f329(f257(x88331,x88331),x88332),x88334)),x88333))
% 191.26/191.47 [8884]~P43(x88841,x88844)+P1(f329(f329(f331(f915(x88841,x88841)),f329(f329(f257(x88841,x88841),x88843),x88842)),f309(x88841,x88844)))+P43(x88841,f329(f329(f311(f915(x88841,x88841)),f329(f329(f257(x88841,x88841),x88842),x88843)),x88844))
% 191.26/191.47 [8885]~P65(x88851,x88854)+P1(f329(f329(f331(f915(x88851,x88851)),f329(f329(f257(x88851,x88851),x88853),x88852)),f309(x88851,x88854)))+P65(x88851,f329(f329(f311(f915(x88851,x88851)),f329(f329(f257(x88851,x88851),x88852),x88853)),x88854))
% 191.26/191.47 [8965]~E(x89652,x89653)+~P1(f329(f329(f331(x89651),x89652),f329(f175(x89651),x89654)))+P1(f329(f329(f331(f915(x89651,x89651)),f329(f329(f257(x89651,x89651),x89652),x89653)),f329(f175(f915(x89651,x89651)),f329(f329(f184(x89651,x89651),x89654),x89654))))
% 191.26/191.47 [8990]~P46(f916(x89901,a903),f916(x89901,a903),x89903)+~P1(f329(f329(f331(x89901),x89902),f101(f916(x89901,a903),x89903)))+P1(f329(f329(f331(x89901),x89902),f329(x89903,f329(f329(f115(f916(x89901,a903)),x89904),f101(f916(x89901,a903),x89903)))))
% 191.26/191.47 [9057]~E(x90573,x90574)+P1(f329(f329(f262(x90571,x90571,a903),a326),x90572))+~P1(f329(f329(f331(f915(x90571,x90571)),x90572),f329(f175(f915(x90571,x90571)),f329(f329(f184(x90571,x90571),x90573),x90574))))
% 191.26/191.47 [9100]P1(f329(f329(f331(f915(f909(x91001),f909(x91001))),f329(f329(f257(f909(x91001),f909(x91001)),x91002),x91003)),f150(x91001,x91004)))+~E(f329(f329(f178(x91001),f329(f192(f909(x91001)),x91002)),x91003),x91002)+~P1(f329(f329(f241(a908),f329(f192(f909(x91001)),x91002)),f329(f192(f909(x91001)),x91003)))
% 191.26/191.47 [9103]~P59(x91031,x91034)+~P1(f329(f329(f331(f915(x91031,x91031)),f329(f329(f257(x91031,x91031),x91033),x91032)),x91034))+P1(f329(f329(f331(f915(x91031,x91031)),f329(f329(f257(x91031,x91031),x91032),x91033)),x91034))
% 191.26/191.47 [9198]~P1(f329(f62(x91981),x91984))+P1(f329(f329(f331(x91981),f464(x91982,x91983,x91984,x91981)),x91984))+P1(f329(f62(x91983),f329(f329(f40(x91981,f916(x91983,a903)),x91984),x91982)))
% 191.26/191.47 [9199]~P1(f329(f62(x91991),x91994))+P1(f329(f329(f331(x91991),f573(x91992,x91993,x91994,x91991)),x91994))+P1(f329(f62(x91993),f329(f329(f40(x91991,f916(x91993,a903)),x91994),x91992)))
% 191.26/191.47 [9293]P1(f329(f329(f331(f915(x92931,x92931)),x92932),f329(f329(f291(x92931,x92931,x92931),x92933),f309(x92931,x92933))))+~P1(f329(f329(f241(a908),f2(a908)),x92934))+~P1(f329(f329(f331(f915(x92931,x92931)),x92932),f329(f329(f186(f915(x92931,x92931),a903),x92934),x92933)))
% 191.26/191.47 [9301]~P43(x93011,x93012)+~P1(f329(f329(f331(f915(x93011,x93011)),f329(f329(f257(x93011,x93011),x93014),x93013)),x93012))+~P1(f329(f329(f331(f915(x93011,x93011)),f329(f329(f257(x93011,x93011),x93013),x93014)),x93012))
% 191.26/191.47 [9423]~P1(f329(f62(x94231),x94234))+E(f329(f329(f6(x94231,a908),f329(f329(f8(f916(x94232,a903),a908,x94231),f36(x94232)),x94233)),x94234),f329(f36(f915(x94231,x94232)),f329(f329(f259(x94231,x94232),x94234),x94233)))+P1(f329(f329(f331(x94231),f513(x94233,x94232,x94234,x94231)),x94234))
% 191.26/191.47 [9427]~P1(f329(f140(x94271),x94272))+P1(f329(f140(x94271),f329(f329(f162(x94271,x94272),x94273),x94274)))+P1(f329(f329(f331(x94271),x94274),f329(f329(f23(f916(x94271,a903)),f329(f175(x94271),x94272)),f329(f329(f311(x94271),f329(f329(f167(x94271),x94272),x94273)),f191(f916(x94271,a903))))))
% 191.26/191.47 [9444]~P1(f329(f62(x94442),x94443))+~P1(f329(f62(x94441),f329(x94444,f464(x94444,x94441,x94443,x94442))))+P1(f329(f62(x94441),f329(f329(f40(x94442,f916(x94441,a903)),x94443),x94444)))
% 191.26/191.47 [9445]~P1(f329(f62(x94452),x94453))+~P1(f329(f62(x94451),f329(x94454,f573(x94454,x94451,x94453,x94452))))+P1(f329(f62(x94451),f329(f329(f40(x94452,f916(x94451,a903)),x94453),x94454)))
% 191.26/191.47 [9522]~P1(f329(f329(f331(f915(x95221,x95221)),x95222),f329(f329(f291(x95221,x95221,x95221),x95224),f309(x95221,x95224))))+P1(f329(f329(f331(f915(x95221,x95221)),x95222),f329(f329(f291(x95221,x95221,x95221),x95223),f309(x95221,x95223))))+~P1(f329(f329(f240(f916(f915(x95221,x95221),a903)),x95224),x95223))
% 191.26/191.47 [9529]E(f329(f329(f178(x95291),f686(x95294,x95293,x95292,x95291)),x95293),f329(f329(f178(x95291),f686(x95294,x95293,x95292,x95291)),x95292))+~P1(f329(f329(f331(f915(f909(x95291),f909(x95291))),f329(f329(f257(f909(x95291),f909(x95291)),x95292),x95293)),f150(x95291,x95294)))+E(f329(f329(f178(x95291),f329(f192(f909(x95291)),x95292)),x95293),x95292)
% 191.26/191.47 [9546]~P1(f329(f62(x95461),x95464))+E(f329(f329(f6(x95461,a908),f329(f329(f8(f916(x95462,a903),a908,x95461),f36(x95462)),x95463)),x95464),f329(f36(f915(x95461,x95462)),f329(f329(f259(x95461,x95462),x95464),x95463)))+~P1(f329(f62(x95462),f329(x95463,f513(x95463,x95462,x95464,x95461))))
% 191.26/191.47 [9551]~E(f329(f192(f909(x95511)),x95513),f329(f192(f909(x95511)),x95512))+P1(f329(f329(f331(f915(f909(x95511),f909(x95511))),f329(f329(f257(f909(x95511),f909(x95511)),x95512),x95513)),f161(x95511,x95514)))+P1(f329(f329(f331(f915(x95511,x95511)),f690(x95514,x95513,x95512,x95511)),f329(f175(f915(x95511,x95511)),f329(f329(f184(x95511,x95511),x95512),x95513))))
% 191.26/191.47 [9634]~P1(f329(f329(f331(f915(f909(x96341),f909(x96341))),f329(f329(f257(f909(x96341),f909(x96341)),x96342),x96343)),f150(x96341,x96344)))+E(f329(f329(f178(x96341),f329(f192(f909(x96341)),x96342)),x96343),x96342)+P1(f329(f329(f241(a908),f686(x96344,x96343,x96342,x96341)),f329(f329(f238(a908),f329(f192(f909(x96341)),x96342)),f329(f192(f909(x96341)),x96343))))
% 191.26/191.47 [9656]~P1(f329(f329(f331(f915(f909(x96561),f909(x96561))),f329(f329(f257(f909(x96561),f909(x96561)),x96562),x96563)),f150(x96561,x96564)))+P1(f329(f329(f241(a908),f329(f192(f909(x96561)),x96562)),f329(f192(f909(x96561)),x96563)))+P1(f329(f329(f241(a908),f686(x96564,x96563,x96562,x96561)),f329(f329(f238(a908),f329(f192(f909(x96561)),x96562)),f329(f192(f909(x96561)),x96563))))
% 191.26/191.47 [10059]~P1(f329(f329(f331(f915(f909(x100591),f909(x100591))),f329(f329(f257(f909(x100591),f909(x100591)),x100592),x100593)),f150(x100591,x100594)))+E(f329(f329(f178(x100591),f329(f192(f909(x100591)),x100592)),x100593),x100592)+P1(f329(f329(f331(f915(x100591,x100591)),f329(f329(f257(x100591,x100591),f329(f329(f167(x100591),x100592),f686(x100594,x100593,x100592,x100591))),f329(f329(f167(x100591),x100593),f686(x100594,x100593,x100592,x100591)))),x100594))
% 191.26/191.47 [10060]~P1(f329(f329(f331(f915(f909(x100601),f909(x100601))),f329(f329(f257(f909(x100601),f909(x100601)),x100602),x100603)),f150(x100601,x100604)))+P1(f329(f329(f241(a908),f329(f192(f909(x100601)),x100602)),f329(f192(f909(x100601)),x100603)))+P1(f329(f329(f331(f915(x100601,x100601)),f329(f329(f257(x100601,x100601),f329(f329(f167(x100601),x100602),f686(x100604,x100603,x100602,x100601))),f329(f329(f167(x100601),x100603),f686(x100604,x100603,x100602,x100601)))),x100604))
% 191.26/191.47 [10116]~E(f329(f192(f909(x101161)),x101162),f329(f192(f909(x101161)),x101163))+P1(f329(f329(f331(f915(f909(x101161),f909(x101161))),f329(f329(f257(f909(x101161),f909(x101161)),x101162),x101163)),f161(x101161,x101164)))+~P1(f329(f329(f331(f915(x101161,x101161)),f329(f329(f257(x101161,x101161),f329(f329(f167(x101161),x101162),f674(x101164,x101163,x101162,x101161))),f329(f329(f167(x101161),x101163),f674(x101164,x101163,x101162,x101161)))),x101164))
% 191.26/191.47 [10261]~P5(x102611)+~P1(f329(f62(x102612),x102614))+E(f329(f168(x102611),f329(f329(f157(x102612,x102611),x102613),f92(f909(x102612),f329(f329(f18(f909(x102612),a903,a903),f329(f329(f8(a903,f916(a903,a903),f909(x102612)),a327),f329(f329(f7(f909(x102612),f916(x102612,a903),a903),f329(f329(f8(f916(x102612,a903),f916(f916(x102612,a903),a903),f909(x102612)),a326),f175(x102612))),x102614))),f140(x102612))))),f235(x102612,x102611,x102613,x102614))
% 191.26/191.47 [7518]~P71(x75182)+E(x75181,f2(x75182))+E(f329(f329(f292(x75182),f329(f329(f82(x75182),x75183),f329(f329(f83(x75182),x75184),x75181))),x75181),f329(f329(f82(x75182),x75184),f329(f329(f292(x75182),x75183),x75181)))
% 191.26/191.47 [7519]~P68(x75192)+E(x75191,f2(x75192))+E(f329(f329(f37(x75192),f329(f329(f82(x75192),x75193),f329(f329(f83(x75192),x75194),x75191))),x75191),f329(f329(f82(x75192),x75194),f329(f329(f37(x75192),x75193),x75191)))
% 191.26/191.47 [7520]~P68(x75202)+E(x75201,f2(x75202))+E(f329(f329(f37(x75202),f329(f329(f82(x75202),x75203),f329(f329(f83(x75202),x75201),x75204))),x75201),f329(f329(f82(x75202),x75204),f329(f329(f37(x75202),x75203),x75201)))
% 191.26/191.47 [7752]~P71(x77522)+E(x77521,f2(x77522))+E(f329(f329(f292(x77522),f329(f329(f82(x77522),x77523),f329(f329(f83(x77522),x77524),x77521))),x77521),f329(f329(f82(x77522),f329(f329(f292(x77522),x77523),x77521)),x77524))
% 191.26/191.47 [7753]~P72(x77532)+E(x77531,f2(x77532))+E(f329(f329(f292(x77532),f329(f329(f82(x77532),x77533),f329(f329(f83(x77532),x77531),x77534))),x77531),f329(f329(f82(x77532),f329(f329(f292(x77532),x77533),x77531)),x77534))
% 191.26/191.47 [7754]~P72(x77542)+E(x77541,f2(x77542))+E(f329(f329(f292(x77542),f329(f329(f23(x77542),x77543),f329(f329(f83(x77542),x77541),x77544))),x77541),f329(f329(f23(x77542),f329(f329(f292(x77542),x77543),x77541)),x77544))
% 191.26/191.47 [8472]~P1(f329(f163(x84721,x84723),x84724))+~P1(f329(f163(x84721,x84722),x84724))+P1(f329(f163(x84721,f329(f329(f106(f916(x84721,a903)),x84722),x84723)),x84724))
% 191.26/191.47 [8847]~E(f329(f329(f291(x88471,x88471,x88471),x88472),x88474),f191(f916(f915(x88471,x88471),a903)))+~E(f329(f329(f291(x88471,x88471,x88471),x88472),x88473),f191(f916(f915(x88471,x88471),a903)))+E(f329(f329(f291(x88471,x88471,x88471),x88472),f329(f329(f115(f916(f915(x88471,x88471),a903)),x88473),x88474)),f191(f916(f915(x88471,x88471),a903)))
% 191.26/191.47 [8966]~P1(f329(f329(f240(f916(x89661,a903)),x89663),x89664))+~P1(f329(f329(f240(f916(x89661,a903)),x89662),x89664))+P1(f329(f329(f240(f916(x89661,a903)),f329(f329(f115(f916(x89661,a903)),x89662),x89663)),x89664))
% 191.26/191.47 [9354]~P1(f329(f62(x93541),x93544))+~P1(f329(f62(x93541),x93543))+E(f329(f329(f23(a908),f329(f329(f82(a908),f329(f329(f6(x93541,a908),x93542),x93543)),f329(f329(f6(x93541,a908),x93542),x93544))),f329(f329(f6(x93541,a908),x93542),f329(f329(f106(f916(x93541,a903)),x93543),x93544))),f329(f329(f6(x93541,a908),x93542),f329(f329(f115(f916(x93541,a903)),x93543),x93544)))
% 191.26/191.47 [9440]~P1(f329(f329(f331(x94401),x94403),x94402))+~P1(f329(f329(f240(f916(x94401,a903)),x94402),f329(f329(f311(x94401),x94403),x94404)))+P1(f329(f329(f240(f916(x94401,a903)),f329(f329(f23(f916(x94401,a903)),x94402),f329(f329(f311(x94401),x94403),f191(f916(x94401,a903))))),x94404))
% 191.26/191.47 [9608]~P1(f329(f329(f331(x96081),x96083),x96082))+P1(f329(f329(f240(f916(x96081,a903)),x96082),f329(f329(f311(x96081),x96083),x96084)))+~P1(f329(f329(f240(f916(x96081,a903)),f329(f329(f23(f916(x96081,a903)),x96082),f329(f329(f311(x96081),x96083),f191(f916(x96081,a903))))),x96084))
% 191.26/191.47 [9696]~P1(f329(f329(f240(a908),x96961),x96963))+~P1(f329(f329(f241(a908),x96962),x96964))+P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),f329(f329(f257(a908,a908),x96961),x96962)),f329(f329(f257(a908,a908),x96963),x96964))),a34))
% 191.26/191.47 [9697]~P1(f329(f329(f240(a908),x96972),x96974))+~P1(f329(f329(f240(a908),x96971),x96973))+P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),f329(f329(f257(a908,a908),x96971),x96972)),f329(f329(f257(a908,a908),x96973),x96974))),a72))
% 191.26/191.47 [9989]~P1(f329(f329(f331(f909(x99891)),x99894),f164(x99891,x99893)))+~P1(f329(f329(f331(f909(x99891)),x99894),f164(x99891,x99892)))+P1(f329(f163(x99891,f329(f329(f106(f916(x99891,a903)),f329(f329(f7(x99891,f916(x99891,a903),a903),f331(x99891)),x99892)),f329(f329(f7(x99891,f916(x99891,a903),a903),f331(x99891)),x99893))),x99894))
% 191.26/191.47 [10082]~P30(x100821,f916(f916(x100821,a903),a903),f329(f329(f7(x100821,f916(f915(x100821,x100821),a903),f916(f916(x100821,a903),a903)),f329(f329(f8(f916(x100821,a903),f916(f916(f915(x100821,x100821),a903),f916(f916(x100821,a903),a903)),x100821),f61(x100821)),f329(f329(f7(x100821,f916(x100821,a903),f916(x100821,a903)),f311(x100821)),f191(f916(x100821,a903))))),x100823),x100822)+~P1(f329(f329(f331(x100821),x100824),x100822))+E(f329(f329(f23(f916(f916(x100821,a903),a903)),f329(f329(f61(x100821),x100822),x100823)),f329(f329(f61(x100821),f329(f329(f311(x100821),x100824),f191(f916(x100821,a903)))),x100823)),f329(f329(f61(x100821),f329(f329(f23(f916(x100821,a903)),x100822),f329(f329(f311(x100821),x100824),f191(f916(x100821,a903))))),x100823))
% 191.26/191.47 [10215]~P60(x102151,x102152,x102154)+~P1(f329(f329(f331(f915(x102151,x102151)),x102153),x102154))+P1(f329(f329(f262(x102151,x102151,a903),f329(f329(f7(x102151,f916(x102151,a903),f916(x102151,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x102151,a903),f916(x102151,a903)),x102151),f8(a903,a903,x102151)),f329(f329(f8(a903,f916(a903,a903),x102151),a327),f329(f329(f7(x102151,f916(x102151,a903),a903),f331(x102151)),x102152)))),f329(f329(f7(x102151,f916(x102151,a903),a903),f331(x102151)),x102152))),x102153))
% 191.26/191.47 [10230]P1(f329(f62(x102301),x102302))+~P1(f329(f62(x102303),f329(f312(x102301,x102303,x102304),x102302)))+~P1(f329(f62(x102301),f329(f267(x102301),f329(f329(f18(x102301,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102301),a327),f329(f329(f7(x102301,f916(x102301,a903),a903),f331(x102301)),x102302))),f329(f329(f7(x102301,x102303,a903),f329(f329(f8(x102303,f916(x102303,a903),x102301),a326),x102304)),f329(x102304,f562(x102304,x102303,x102302,x102301)))))))
% 191.26/191.47 [8226]~P72(x82262)+E(x82261,f2(x82262))+E(f329(f329(f292(x82262),f329(f329(f82(x82262),f329(f329(f83(x82262),x82261),x82263)),x82264)),x82261),f329(f329(f82(x82262),x82263),f329(f329(f292(x82262),x82264),x82261)))
% 191.26/191.47 [8227]~P72(x82272)+E(x82271,f2(x82272))+E(f329(f329(f292(x82272),f329(f329(f23(x82272),f329(f329(f83(x82272),x82271),x82273)),x82274)),x82271),f329(f329(f23(x82272),x82273),f329(f329(f292(x82272),x82274),x82271)))
% 191.26/191.47 [9130]~E(f329(f329(f291(x91301,x91301,x91301),x91303),x91304),f191(f916(f915(x91301,x91301),a903)))+~E(f329(f329(f291(x91301,x91301,x91301),x91302),x91304),f191(f916(f915(x91301,x91301),a903)))+E(f329(f329(f291(x91301,x91301,x91301),f329(f329(f115(f916(f915(x91301,x91301),a903)),x91302),x91303)),x91304),f191(f916(f915(x91301,x91301),a903)))
% 191.26/191.47 [9906]~P1(f329(f163(x99061,x99063),x99064))+~P1(f329(f163(x99061,x99062),x99064))+P1(f329(f163(x99061,f329(f329(f18(x99061,a903,a903),f329(f329(f8(a903,f916(a903,a903),x99061),a327),x99062)),x99063)),x99064))
% 191.26/191.47 [10150]P1(f329(x101501,f541(x101502,x101503,x101501,x101504)))+~P1(f329(f62(x101504),f329(f267(x101504),x101501)))+P1(f329(f62(x101503),f329(f267(x101503),f329(f329(f8(f916(x101504,a903),a903,x101503),f89(x101504)),f329(f329(f8(f916(x101504,a903),f916(x101504,a903),x101503),f329(f18(x101504,a903,a903),f329(f329(f8(a903,f916(a903,a903),x101504),a327),x101501))),x101502)))))
% 191.26/191.47 [10168]~P1(f329(f62(x101682),f329(f267(x101682),x101683)))+~P1(f329(f62(x101681),f329(f267(x101681),f329(f329(f7(x101681,x101682,a903),x101684),f541(x101684,x101681,x101683,x101682)))))+P1(f329(f62(x101681),f329(f267(x101681),f329(f329(f8(f916(x101682,a903),a903,x101681),f89(x101682)),f329(f329(f8(f916(x101682,a903),f916(x101682,a903),x101681),f329(f18(x101682,a903,a903),f329(f329(f8(a903,f916(a903,a903),x101682),a327),x101683))),x101684)))))
% 191.26/191.47 [10241]~P1(f329(f62(x102411),x102414))+P1(f329(f329(f331(x102411),f819(x102412,x102413,x102414,x102411)),x102414))+P1(f329(f62(x102413),f329(f267(x102413),f329(f329(f8(f916(x102411,a903),a903,x102413),f89(x102411)),f329(f329(f8(f916(x102411,a903),f916(x102411,a903),x102413),f329(f18(x102411,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102411),a327),f329(f329(f7(x102411,f916(x102411,a903),a903),f331(x102411)),x102414)))),x102412)))))
% 191.26/191.47 [10247]~P1(f329(f62(x102472),x102473))+~P1(f329(f62(x102471),f329(f267(x102471),f329(f329(f7(x102471,x102472,a903),x102474),f819(x102474,x102471,x102473,x102472)))))+P1(f329(f62(x102471),f329(f267(x102471),f329(f329(f8(f916(x102472,a903),a903,x102471),f89(x102472)),f329(f329(f8(f916(x102472,a903),f916(x102472,a903),x102471),f329(f18(x102472,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102472),a327),f329(f329(f7(x102472,f916(x102472,a903),a903),f331(x102472)),x102473)))),x102474)))))
% 191.26/191.47 [5137]~E(x51372,x51374)+E(f172(x51371,x51372,x51373),f172(x51371,x51374,x51375))+~E(x51372,f2(a908))
% 191.26/191.47 [5395]E(x53951,x53952)+~E(f172(x53954,x53953,x53951),f172(x53954,x53955,x53952))+E(x53953,f2(a908))
% 191.26/191.47 [5945]~E(x59455,x59452)+P48(f31(x59451,x59453),x59452,x59454,x59455)+P1(f329(x59451,x59452))
% 191.26/191.47 [6509]E(x65091,x65092)+~P48(f31(x65093,x65094),x65091,x65095,x65092)+P1(f329(x65093,x65091))
% 191.26/191.47 [8019]~P48(x80192,x80193,x80194,x80195)+~P48(f31(x80191,x80192),x80195,x80194,x80193)+P48(f31(x80191,x80192),x80193,x80194,x80193)
% 191.26/191.47 [9260]E(x92601,x92602)+~P48(f31(x92605,x92603),x92601,x92604,x92602)+P48(x92603,x92601,x92604,f602(x92602,x92604,x92601,x92603,x92605))
% 191.26/191.47 [9262]E(x92621,x92622)+P48(f31(x92623,x92624),f602(x92621,x92625,x92622,x92624,x92623),x92625,x92621)+~P48(f31(x92623,x92624),x92622,x92625,x92621)
% 191.26/191.47 [9266]~P48(f31(x92665,x92661),x92662,x92663,x92664)+P48(x92661,x92662,x92663,f602(x92664,x92663,x92662,x92661,x92665))+~P1(f329(x92665,x92662))
% 191.26/191.47 [9273]~P48(f31(x92731,x92732),x92735,x92734,x92733)+P48(f31(x92731,x92732),f602(x92733,x92734,x92735,x92732,x92731),x92734,x92733)+~P1(f329(x92731,x92735))
% 191.26/191.47 [6653]E(x66531,x66532)+~E(f329(x66533,x66531),f329(x66533,x66532))+~P30(x66534,x66535,x66533,f247(f916(x66534,a903)))
% 191.26/191.47 [7556]E(x75561,x75562)+~P30(x75563,x75564,x75565,f247(f916(x75563,a903)))+~E(f329(f312(x75563,x75564,x75565),x75561),f329(f312(x75563,x75564,x75565),x75562))
% 191.26/191.47 [7806]P30(x78062,x78063,f700(x78064,x78063,x78062,x78061),x78061)+~E(f329(f312(x78063,x78062,x78065),x78064),x78061)+E(x78061,f191(f916(x78062,a903)))
% 191.26/191.47 [8355]~P1(f329(f329(x83553,x83552),x83555))+~P1(f329(f329(x83553,x83554),x83552))+P1(f329(f329(f331(x83551),x83552),f298(x83551,x83553,x83554,x83555)))
% 191.26/191.47 [8356]~P1(f329(f329(x83563,x83562),x83565))+~P1(f329(f329(x83563,x83564),x83562))+P1(f329(f329(f331(x83561),x83562),f301(x83561,x83563,x83564,x83565)))
% 191.26/191.47 [8925]~P30(x89251,x89253,x89255,f247(f916(x89251,a903)))+~P30(x89253,x89252,x89254,f247(f916(x89253,a903)))+P30(x89251,x89252,f329(f74(x89253,x89252,x89251,x89254),x89255),f247(f916(x89251,a903)))
% 191.26/191.47 [9499]P1(f329(f329(f331(f915(x94991,x94991)),f329(f329(f257(x94991,x94991),x94992),x94993)),f309(x94991,x94994)))+~P1(f329(f329(f331(f915(x94991,x94991)),f329(f329(f257(x94991,x94991),x94992),x94995)),f309(x94991,x94994)))+~P1(f329(f329(f331(f915(x94991,x94991)),f329(f329(f257(x94991,x94991),x94995),x94993)),f309(x94991,x94994)))
% 191.26/191.47 [9536]~P112(x95362)+~P1(f329(f140(x95361),x95365))+P1(f329(f140(x95361),f152(x95361,x95362,x95363,x95364,x95365)))
% 191.26/191.47 [5469]~E(x54692,f118(x54691))+E(f329(f329(f137(x54691),x54692),x54693),f329(f329(f154(x54691),x54694),x54695))+~E(x54693,f329(f329(f154(x54691),x54694),x54695))
% 191.26/191.47 [5470]~E(x54702,f118(x54701))+E(f329(f329(f137(x54701),x54702),x54703),f329(f329(f154(x54701),x54704),x54705))+~E(f329(f329(f154(x54701),x54704),x54705),x54703)
% 191.26/191.47 [6610]~E(f329(f192(f909(x66101)),x66105),f329(f192(f909(x66102)),x66104))+E(f329(f329(f157(f915(x66101,x66102),x66102),f261(x66101,x66102)),x66103),x66104)+~E(f329(f329(f184(x66101,x66102),x66105),x66104),x66103)
% 191.26/191.47 [6611]~E(f329(f192(f909(x66111)),x66114),f329(f192(f909(x66112)),x66115))+E(f329(f329(f157(f915(x66111,x66112),x66111),f256(x66111,x66112)),x66113),x66114)+~E(f329(f329(f184(x66111,x66112),x66114),x66115),x66113)
% 191.26/191.47 [7083]~P112(x70831)+~P18(x70831,f329(f329(f157(x70832,x70831),x70833),x70835))+P18(x70831,f329(f329(f157(x70832,x70831),x70833),f329(f139(x70832,x70834),x70835)))
% 191.26/191.47 [7126]~P1(f329(x71263,x71265))+~P1(f329(f329(x71262,x71264),x71265))+P1(f329(f329(f95(x71261,x71262,x71263),x71264),x71265))
% 191.26/191.47 [7224]~P112(x72241)+P18(x72241,f329(f329(f157(x72242,x72241),x72243),f173(x72242,x72244,x72245)))+~P18(x72241,f329(f329(f157(x72242,x72241),x72243),x72245))
% 191.26/191.47 [7247]~P62(x72473,x72472,x72475)+~P62(x72471,x72473,x72474)+P62(x72471,x72472,f329(f329(f291(x72471,x72473,x72472),x72474),x72475))
% 191.26/191.47 [7342]E(x73421,x73422)+~P30(x73423,x73424,x73425,f247(f916(x73423,a903)))+~E(f329(f329(f157(x73423,x73424),x73425),x73421),f329(f329(f157(x73423,x73424),x73425),x73422))
% 191.26/191.47 [7423]P48(x74231,x74232,x74233,x74234)+~P48(x74231,x74232,x74235,x74234)+~P1(f329(f329(f240(a908),x74235),x74233))
% 191.26/191.47 [7504]~P1(f329(f329(f240(a908),x75041),f329(x75043,x75045)))+P1(f329(f329(f240(a908),x75041),f158(x75042,x75043,x75044)))+~P1(f329(f329(f331(x75042),x75045),f329(f175(x75042),x75044)))
% 191.26/191.47 [7505]~P1(f329(f329(f241(a908),x75051),f329(x75053,x75055)))+P1(f329(f329(f241(a908),x75051),f158(x75052,x75053,x75054)))+~P1(f329(f329(f331(x75052),x75055),f329(f175(x75052),x75054)))
% 191.26/191.47 [7906]P1(f329(x79061,x79062))+~P1(f329(x79061,x79063))+~P1(f329(f329(f331(x79064),x79062),f329(f175(x79064),f172(x79064,x79065,x79063))))
% 191.26/191.47 [7907]P1(f329(x79071,x79072))+~P1(f329(x79071,x79073))+~P1(f329(f329(f331(x79074),x79073),f329(f175(x79074),f172(x79074,x79075,x79072))))
% 191.26/191.47 [7911]~P114(x79111)+P1(f329(f329(f240(f916(x79111,a903)),f305(x79111,x79112,x79113)),f305(x79111,x79114,x79115)))+P1(f329(f329(f240(x79111),x79112),x79113))
% 191.26/191.47 [7938]~P10(x79381)+P1(f329(f329(f240(x79381),f329(f329(f41(x79382,x79381),x79383),x79384)),f329(x79384,x79385)))+~P1(f329(f329(f331(x79382),x79385),x79383))
% 191.26/191.47 [8006]~P30(x80061,x80062,x80064,x80063)+E(f329(f79(x80061,x80062,x80063,x80064),f329(x80064,x80065)),x80065)+~P1(f329(f329(f331(x80061),x80065),x80063))
% 191.26/191.47 [8007]~P30(x80071,x80072,x80074,x80073)+E(f329(f94(x80071,x80072,x80073,x80074),f329(x80074,x80075)),x80075)+~P1(f329(f329(f331(x80071),x80075),x80073))
% 191.26/191.47 [8215]~P1(f329(x82151,x82155))+P1(f329(x82151,f357(x82151,x82152,x82153,x82154)))+~P1(f329(f329(f331(x82154),x82155),x82153))
% 191.26/191.47 [8216]~P1(f329(x82161,x82165))+P1(f329(x82161,f357(x82161,x82162,x82163,x82164)))+~P1(f329(f329(f331(x82164),x82165),x82162))
% 191.26/191.47 [8308]P1(f329(f62(x83081),x83082))+~P1(f329(f62(x83083),x83084))+~P1(f329(f329(f240(f916(x83081,a903)),x83082),f329(f312(x83083,x83081,x83085),x83084)))
% 191.26/191.47 [8476]E(x84761,x84762)+~P30(x84763,x84764,x84765,f329(f329(f115(f916(x84763,a903)),f329(f175(x84763),x84761)),f329(f175(x84763),x84762)))+~E(f329(f329(f157(x84763,x84764),x84765),x84761),f329(f329(f157(x84763,x84764),x84765),x84762))
% 191.26/191.47 [8529]~P114(x85291)+~P1(f329(f329(f241(f916(x85291,a903)),f305(x85291,x85294,x85295)),f305(x85291,x85292,x85293)))+P1(f329(f329(f240(x85291),x85292),x85293))
% 191.26/191.47 [8599]~P30(x85991,x85994,x85995,f247(f916(x85991,a903)))+~P1(f329(f329(f331(x85994),f329(x85995,x85992)),f329(f312(x85991,x85994,x85995),x85993)))+P1(f329(f329(f331(x85991),x85992),x85993))
% 191.26/191.47 [8681]P1(f329(x86811,x86812))+~P1(f329(x86811,f870(x86811,x86813,x86814,x86815)))+~P1(f329(f329(f331(x86815),x86812),x86814))
% 191.26/191.47 [8682]P1(f329(x86821,x86822))+~P1(f329(x86821,f870(x86821,x86823,x86824,x86825)))+~P1(f329(f329(f331(x86825),x86822),x86823))
% 191.26/191.47 [8963]~P30(x89632,x89633,x89631,x89634)+E(f329(x89631,f329(f79(x89632,x89633,x89634,x89631),x89635)),x89635)+~P1(f329(f329(f331(x89633),x89635),f329(f312(x89632,x89633,x89631),x89634)))
% 191.26/191.47 [9071]E(x90711,f118(x90712))+E(f329(f329(f154(x90712),x90713),f705(x90714,x90713,x90715,x90711,x90712)),x90711)+~E(f329(f329(f137(x90712),x90711),x90715),f329(f329(f154(x90712),x90713),x90714))
% 191.26/191.47 [9072]E(x90721,f118(x90722))+E(f329(f329(f154(x90722),x90723),f706(x90724,x90721,x90725,x90723,x90722)),x90721)+~E(f329(f329(f137(x90722),x90721),x90724),f329(f329(f154(x90722),x90723),x90725))
% 191.26/191.47 [9089]E(f329(f329(f154(x90892),x90893),f705(x90894,x90893,x90891,x90895,x90892)),x90895)+~E(f329(f329(f137(x90892),x90895),x90891),f329(f329(f154(x90892),x90893),x90894))+E(x90891,f329(f329(f154(x90892),x90893),x90894))
% 191.26/191.47 [9090]E(f329(f329(f154(x90901),x90902),f706(x90904,x90905,x90903,x90902,x90901)),x90905)+~E(f329(f329(f137(x90901),x90905),x90904),f329(f329(f154(x90901),x90902),x90903))+E(f329(f329(f154(x90901),x90902),x90903),x90904)
% 191.26/191.47 [9169]~E(f329(f312(x91693,x91692,x91694),f247(f916(x91693,a903))),f247(f916(x91692,a903)))+~E(f329(f312(x91691,x91693,x91695),f247(f916(x91691,a903))),f247(f916(x91693,a903)))+E(f329(f312(x91691,x91692,f329(f74(x91693,x91692,x91691,x91694),x91695)),f247(f916(x91691,a903))),f247(f916(x91692,a903)))
% 191.26/191.47 [9543]E(x95431,f118(x95432))+~E(f329(f329(f137(x95432),x95431),x95433),f329(f329(f154(x95432),x95435),x95434))+E(f329(f329(f137(x95432),f706(x95433,x95431,x95434,x95435,x95432)),x95433),x95434)
% 191.26/191.47 [9544]E(x95441,f118(x95442))+~E(f329(f329(f137(x95442),x95441),x95445),f329(f329(f154(x95442),x95444),x95443))+E(f329(f329(f137(x95442),f705(x95443,x95444,x95445,x95441,x95442)),x95445),x95443)
% 191.26/191.47 [9552]E(f329(f329(f137(x95522),f705(x95524,x95523,x95521,x95525,x95522)),x95521),x95524)+~E(f329(f329(f137(x95522),x95525),x95521),f329(f329(f154(x95522),x95523),x95524))+E(x95521,f329(f329(f154(x95522),x95523),x95524))
% 191.26/191.47 [9553]~E(f329(f329(f137(x95531),x95535),x95534),f329(f329(f154(x95531),x95532),x95533))+E(f329(f329(f137(x95531),f706(x95534,x95535,x95533,x95532,x95531)),x95534),x95533)+E(f329(f329(f154(x95531),x95532),x95533),x95534)
% 191.26/191.47 [9554]E(f329(f329(f137(x95541),x95545),f708(x95543,x95542,x95544,x95545,x95541)),x95542)+E(f329(f329(f137(x95541),x95542),f707(x95543,x95542,x95544,x95545,x95541)),x95545)+~E(f329(f329(f137(x95541),x95545),x95544),f329(f329(f137(x95541),x95542),x95543))
% 191.26/191.47 [9591]~P112(x95911)+P18(x95911,f329(f329(f157(x95912,x95911),x95913),f152(x95912,x95911,x95913,x95914,x95915)))+~P18(x95911,f329(f329(f157(x95912,x95911),x95913),x95915))
% 191.26/191.47 [9605]~P66(x96055,x96051,x96054,x96053)+P1(f329(f329(x96051,x96052),f497(x96053,x96054,x96051,x96055,x96052)))+~P1(f329(f329(f331(x96055),x96052),x96054))
% 191.26/191.47 [9606]~P66(x96065,x96061,x96064,x96063)+P1(f329(f329(x96061,x96062),f825(x96063,x96064,x96061,x96065,x96062)))+~P1(f329(f329(f331(x96065),x96062),x96064))
% 191.26/191.47 [9708]~P1(f329(f329(f331(f915(x97081,x97081)),f329(f329(f257(x97081,x97081),x97085),x97083)),f309(x97081,x97084)))+P1(f329(f329(f331(f915(x97081,x97081)),f329(f329(f257(x97081,x97081),x97082),x97083)),f329(f329(f291(x97081,x97081,x97081),x97084),f309(x97081,x97084))))+~P1(f329(f329(f331(f915(x97081,x97081)),f329(f329(f257(x97081,x97081),x97082),x97085)),f329(f329(f291(x97081,x97081,x97081),x97084),f309(x97081,x97084))))
% 191.26/191.47 [9709]~P1(f329(f329(f331(f915(x97091,x97091)),f329(f329(f257(x97091,x97091),x97092),x97095)),f309(x97091,x97094)))+P1(f329(f329(f331(f915(x97091,x97091)),f329(f329(f257(x97091,x97091),x97092),x97093)),f329(f329(f291(x97091,x97091,x97091),x97094),f309(x97091,x97094))))+~P1(f329(f329(f331(f915(x97091,x97091)),f329(f329(f257(x97091,x97091),x97095),x97093)),f329(f329(f291(x97091,x97091,x97091),x97094),f309(x97091,x97094))))
% 191.26/191.47 [9711]P1(f329(f329(f331(f915(f909(x97111),f909(x97111))),f329(f329(f257(f909(x97111),f909(x97111)),x97112),x97113)),f161(x97111,f309(x97111,x97114))))+~P1(f329(f329(f331(f915(f909(x97111),f909(x97111))),f329(f329(f257(f909(x97111),f909(x97111)),x97112),x97115)),f161(x97111,f309(x97111,x97114))))+~P1(f329(f329(f331(f915(f909(x97111),f909(x97111))),f329(f329(f257(f909(x97111),f909(x97111)),x97115),x97113)),f161(x97111,f309(x97111,x97114))))
% 191.26/191.47 [9715]E(f329(f329(f137(x97151),x97152),f707(x97153,x97152,x97154,x97155,x97151)),x97155)+E(f329(f329(f137(x97151),f708(x97153,x97152,x97154,x97155,x97151)),x97153),x97154)+~E(f329(f329(f137(x97151),x97152),x97153),f329(f329(f137(x97151),x97155),x97154))
% 191.26/191.47 [9716]E(f329(f329(f137(x97161),x97162),f708(x97163,x97164,x97165,x97162,x97161)),x97164)+E(f329(f329(f137(x97161),f707(x97163,x97164,x97165,x97162,x97161)),x97165),x97163)+~E(f329(f329(f137(x97161),x97162),x97165),f329(f329(f137(x97161),x97164),x97163))
% 191.26/191.47 [9772]P1(f329(f329(f331(f915(x97721,x97721)),f329(f329(f257(x97721,x97721),x97722),x97723)),f329(f329(f291(x97721,x97721,x97721),x97724),f309(x97721,x97724))))+~P1(f329(f329(f331(f915(x97721,x97721)),f329(f329(f257(x97721,x97721),x97722),x97725)),f329(f329(f291(x97721,x97721,x97721),x97724),f309(x97721,x97724))))+~P1(f329(f329(f331(f915(x97721,x97721)),f329(f329(f257(x97721,x97721),x97725),x97723)),f329(f329(f291(x97721,x97721,x97721),x97724),f309(x97721,x97724))))
% 191.26/191.47 [9799]P40(x97991,x97992,x97993,x97994,x97995)+~E(f329(f192(f909(x97991)),x97994),f329(f192(f909(x97992)),x97995))+~P1(f329(f329(f262(x97991,x97992,a903),x97993),f720(x97995,x97994,x97993,x97992,x97991)))
% 191.26/191.47 [9800]P40(x98001,x98002,x98003,x98004,x98005)+~E(f329(f192(f909(x98001)),x98004),f329(f192(f909(x98002)),x98005))+~P1(f329(f329(f262(x98001,x98002,a903),x98003),f727(x98003,x98005,x98004,x98002,x98001)))
% 191.26/191.47 [9805]E(f329(f329(f137(x98051),f707(x98052,x98053,x98054,x98055,x98051)),x98054),x98052)+~E(f329(f329(f137(x98051),x98053),x98052),f329(f329(f137(x98051),x98055),x98054))+E(f329(f329(f137(x98051),f708(x98052,x98053,x98054,x98055,x98051)),x98052),x98054)
% 191.26/191.47 [9820]~P112(x98202)+E(f329(f329(f151(x98201,x98202,x98203),x98204),x98205),f329(f329(f154(x98201),x98204),x98205))+P1(f329(f329(f331(x98201),f769(x98204,x98203,x98205,x98201,x98202)),f329(f175(x98201),x98205)))
% 191.26/191.47 [9824]~P66(x98241,x98244,x98243,x98242)+~P1(f329(f329(f331(x98241),x98245),x98243))+P1(f329(f329(f331(x98241),f497(x98242,x98243,x98244,x98241,x98245)),x98242))
% 191.26/191.47 [9825]~P66(x98251,x98254,x98253,x98252)+~P1(f329(f329(f331(x98251),x98255),x98253))+P1(f329(f329(f331(x98251),f825(x98252,x98253,x98254,x98251,x98255)),x98252))
% 191.26/191.47 [9941]~P1(f329(f329(f331(f915(f916(x99411,a903),f916(x99411,a903))),f329(f329(f257(f916(x99411,a903),f916(x99411,a903)),x99414),x99413)),f320(x99411,x99412)))+~P1(f329(f329(f331(x99411),x99415),x99414))+P1(f329(f329(f331(x99411),f588(x99412,x99413,x99414,x99411,x99415)),x99413))
% 191.26/191.47 [9952]~P112(x99522)+E(f329(f329(f151(x99521,x99522,x99523),x99524),x99525),f329(f329(f154(x99521),x99524),x99525))+~P1(f329(f329(f240(x99522),f329(x99523,x99524)),f329(x99523,f769(x99524,x99523,x99525,x99521,x99522))))
% 191.26/191.47 [9997]~P30(x99973,x99974,x99975,f247(f916(x99973,a903)))+P1(f329(x99971,x99972))+~P1(f329(x99971,f329(f94(x99973,x99974,f247(f916(x99973,a903)),x99975),f838(x99972,x99971,x99975,x99974,x99973))))
% 191.26/191.47 [10133]P40(x101331,x101332,x101333,x101334,x101335)+~E(f329(f192(f909(x101331)),x101334),f329(f192(f909(x101332)),x101335))+~P1(f329(f329(x101333,f329(f329(f167(x101331),x101334),f721(x101335,x101334,x101333,x101332,x101331))),f329(f329(f167(x101332),x101335),f721(x101335,x101334,x101333,x101332,x101331))))
% 191.26/191.47 [10134]P40(x101341,x101342,x101343,x101344,x101345)+~E(f329(f192(f909(x101341)),x101344),f329(f192(f909(x101342)),x101345))+~P1(f329(f329(x101343,f329(f329(f167(x101341),x101344),f761(x101343,x101345,x101342,x101344,x101341))),f329(f329(f167(x101342),x101345),f761(x101343,x101345,x101342,x101344,x101341))))
% 191.26/191.47 [6683]~P22(x66832,x66835,x66831)+~P1(f329(f62(x66832),x66834))+E(f329(x66831,f329(f329(f311(x66832),x66833),x66834)),f329(f329(f65(x66832,x66832,x66835),x66833),x66834))
% 191.26/191.47 [6684]~E(x66843,x66844)+~E(x66842,x66845)+E(f329(f329(f311(x66841),x66842),f329(f329(f311(x66841),x66843),f191(f916(x66841,a903)))),f329(f329(f311(x66841),x66844),f329(f329(f311(x66841),x66845),f191(f916(x66841,a903)))))
% 191.26/191.47 [6695]P1(f329(x66952,x66955))+E(f180(x66951,x66952,f329(f329(f137(x66951),x66953),x66954)),f180(x66951,x66952,x66953))+~P1(f329(f329(f331(x66951),x66955),f329(f175(x66951),x66953)))
% 191.26/191.47 [6732]E(f329(x67321,x67322),f191(f916(x67323,a903)))+~E(f329(f329(f40(x67324,f916(x67323,a903)),x67325),x67321),f191(f916(x67323,a903)))+~P1(f329(f329(f331(x67324),x67322),x67325))
% 191.26/191.47 [6733]E(f329(x67331,x67332),f247(f916(x67333,a903)))+~E(f329(f329(f41(x67334,f916(x67333,a903)),x67335),x67331),f247(f916(x67333,a903)))+~P1(f329(f329(f331(x67334),x67332),x67335))
% 191.26/191.47 [7032]~P1(f329(f329(f197(x70321),x70323),x70325))+~P1(f329(f329(f197(x70322),x70325),x70324))+P1(f329(f329(f197(f32(x70321,x70322)),x70323),x70324))
% 191.26/191.47 [7234]~E(x72342,x72344)+~P146(x72341)+E(f329(f329(f82(x72341),f329(f329(f83(x72341),x72342),x72343)),f329(f329(f83(x72341),x72344),x72345)),f329(f329(f82(x72341),f329(f329(f83(x72341),x72342),x72345)),f329(f329(f83(x72341),x72344),x72343)))
% 191.26/191.47 [7294]~P10(x72941)+~P1(f329(f329(f331(x72944),x72943),x72945))+P1(f329(f329(f240(x72941),f329(x72942,x72943)),f329(f329(f40(x72944,x72941),x72945),x72942)))
% 191.26/191.47 [7347]~P113(x73471)+P1(f329(f329(f240(x73471),f329(x73472,x73473)),f329(x73474,x73473)))+~P1(f329(f329(f240(f916(x73475,x73471)),x73472),x73474))
% 191.26/191.47 [7475]E(x74751,x74752)+E(x74753,x74751)+~E(f329(f329(f311(x74754),x74751),f329(f329(f311(x74754),x74755),f191(f916(x74754,a903)))),f329(f329(f311(x74754),x74752),f329(f329(f311(x74754),x74753),f191(f916(x74754,a903)))))
% 191.26/191.47 [7476]E(x74761,x74762)+E(x74763,x74761)+~E(f329(f329(f311(x74764),x74763),f329(f329(f311(x74764),x74762),f191(f916(x74764,a903)))),f329(f329(f311(x74764),x74765),f329(f329(f311(x74764),x74761),f191(f916(x74764,a903)))))
% 191.26/191.47 [7477]E(x74771,x74772)+E(x74771,x74773)+~E(f329(f329(f311(x74774),x74773),f329(f329(f311(x74774),x74772),f191(f916(x74774,a903)))),f329(f329(f311(x74774),x74775),f329(f329(f311(x74774),x74771),f191(f916(x74774,a903)))))
% 191.26/191.47 [7478]E(x74781,x74782)+E(x74781,x74783)+~E(f329(f329(f311(x74784),x74781),f329(f329(f311(x74784),x74785),f191(f916(x74784,a903)))),f329(f329(f311(x74784),x74782),f329(f329(f311(x74784),x74783),f191(f916(x74784,a903)))))
% 191.26/191.47 [8016]P30(x80161,x80162,x80163,x80164)+~P30(x80161,x80162,x80163,x80165)+~P1(f329(f329(f240(f916(x80161,a903)),x80164),x80165))
% 191.26/191.47 [8046]~E(f329(x80463,x80465),x80464)+~P30(x80461,x80462,x80463,f247(f916(x80461,a903)))+E(f329(f94(x80461,x80462,f247(f916(x80461,a903)),x80463),x80464),x80465)
% 191.26/191.47 [8122]P1(f329(x81221,x81222))+~P1(f329(f329(f197(x81224),x81222),x81225))+P1(f329(f329(f197(f29(x81221,x81223,x81224)),x81222),x81225))
% 191.26/191.47 [8150]~P1(f329(x81501,x81504))+~P1(f329(f329(f197(x81502),x81504),x81505))+P1(f329(f329(f197(f29(x81501,x81502,x81503)),x81504),x81505))
% 191.26/191.47 [8203]E(x82031,x82032)+~E(f329(f312(x82033,x82034,x82035),x82031),f329(f312(x82033,x82034,x82035),x82032))+~P30(x82033,x82034,x82035,f329(f329(f115(f916(x82033,a903)),x82031),x82032))
% 191.26/191.47 [8276]P1(f329(x82762,x82764))+E(f329(f329(f141(x82761),f329(f192(f909(x82761)),f180(x82761,x82762,x82763))),x82763),f329(f329(f154(x82761),x82764),x82765))+~E(f329(f329(f137(x82761),f180(x82761,x82762,x82763)),f329(f329(f154(x82761),x82764),x82765)),x82763)
% 191.26/191.47 [8306]~P30(x83061,x83062,x83063,x83065)+~P30(x83061,x83062,x83063,x83064)+P30(x83061,x83062,x83063,f329(f329(f106(f916(x83061,a903)),x83064),x83065))
% 191.26/191.47 [8415]~P5(x84151)+E(f329(f329(f82(x84151),f329(x84152,x84153)),f329(f168(x84151),f329(f329(f157(x84154,x84151),x84152),f173(x84154,x84153,x84155)))),f329(f168(x84151),f329(f329(f157(x84154,x84151),x84152),x84155)))+~P1(f329(f329(f331(x84154),x84153),f329(f175(x84154),x84155)))
% 191.26/191.47 [8503]~P112(x85031)+~P18(x85031,f329(f329(f157(x85032,x85031),x85033),x85035))+P18(x85031,f329(f329(f157(x85032,x85031),x85033),f329(f329(f151(x85032,x85031,x85033),x85034),x85035)))
% 191.26/191.47 [8584]P1(f329(x85841,x85842))+P1(f329(f329(f197(x85843),x85842),x85844))+~P1(f329(f329(f197(f29(x85841,x85845,x85843)),x85842),x85844))
% 191.26/191.47 [8595]~P10(x85951)+P1(f329(f329(f240(x85951),f329(f329(f40(x85952,x85951),x85953),x85954)),f329(f329(f40(x85952,x85951),x85955),x85954)))+~P1(f329(f329(f240(f916(x85952,a903)),x85953),x85955))
% 191.26/191.47 [8596]~P10(x85961)+P1(f329(f329(f240(x85961),f329(f329(f41(x85962,x85961),x85963),x85964)),f329(f329(f41(x85962,x85961),x85965),x85964)))+~P1(f329(f329(f240(f916(x85962,a903)),x85965),x85963))
% 191.26/191.47 [8605]~P1(f329(x86054,x86052))+P1(f329(f329(f197(x86051),x86052),x86053))+~P1(f329(f329(f197(f29(x86054,x86051,x86055)),x86052),x86053))
% 191.26/191.47 [8634]~P112(x86343)+P1(f329(f140(x86341),x86342))+~P1(f329(f140(x86341),f329(f329(f151(x86341,x86343,x86344),x86345),x86342)))
% 191.26/191.47 [8644]P1(f329(f329(f197(x86441),x86442),x86443))+P1(f329(f329(f197(x86444),x86442),x86443))+~P1(f329(f329(f197(f29(x86445,x86441,x86444)),x86442),x86443))
% 191.26/191.47 [8776]~P112(x87761)+~P1(f329(f329(f331(x87762),x87763),f329(f175(x87762),x87764)))+~P1(f329(f140(x87762),f329(f329(f151(x87762,x87761,x87765),x87763),x87764)))
% 191.26/191.47 [8857]~P112(x88571)+P18(x88571,f329(f329(f157(x88572,x88571),x88573),x88574))+~P18(x88571,f329(f329(f157(x88572,x88571),x88573),f329(f329(f151(x88572,x88571,x88573),x88575),x88574)))
% 191.26/191.47 [8900]~P30(x89002,x89001,x89004,x89003)+E(f329(f312(x89001,x89002,f94(x89002,x89001,x89003,x89004)),f329(f312(x89002,x89001,x89004),x89005)),x89005)+~P1(f329(f329(f240(f916(x89002,a903)),x89005),x89003))
% 191.26/191.47 [8951]~P112(x89512)+E(f329(f329(f151(x89511,x89512,x89513),x89514),x89515),f152(x89511,x89512,x89513,x89514,x89515))+P1(f329(f329(f331(x89512),f329(x89513,x89514)),f329(f312(x89511,x89512,x89513),f329(f175(x89511),x89515))))
% 191.26/191.47 [9032]~P112(x90322)+E(f152(x90321,x90322,x90323,x90324,x90325),x90325)+~P1(f329(f329(f331(x90322),f329(x90323,x90324)),f329(f312(x90321,x90322,x90323),f329(f175(x90321),x90325))))
% 191.26/191.47 [9050]~P30(x90502,x90501,x90503,x90505)+P1(f329(f329(f241(f916(x90501,a903)),f329(f312(x90502,x90501,x90503),x90504)),f329(f312(x90502,x90501,x90503),x90505)))+~P1(f329(f329(f241(f916(x90502,a903)),x90504),x90505))
% 191.26/191.47 [9209]~P30(x92091,x92092,x92093,f247(f916(x92091,a903)))+~P1(f329(f329(f240(f916(x92092,a903)),x92094),f329(f312(x92091,x92092,x92093),x92095)))+P1(f329(f329(f240(f916(x92091,a903)),f329(f313(x92091,x92092,x92093),x92094)),x92095))
% 191.26/191.47 [9233]~E(f329(f312(x92333,x92331,x92334),f247(f916(x92333,a903))),f247(f916(x92331,a903)))+P1(f329(f329(f240(f916(x92331,a903)),x92332),f329(f312(x92333,x92331,x92334),x92335)))+~P1(f329(f329(f240(f916(x92333,a903)),f329(f313(x92333,x92331,x92334),x92332)),x92335))
% 191.26/191.47 [9348]~P30(x93481,x93484,x93485,f247(f916(x93481,a903)))+~P1(f329(f329(f240(f916(x93484,a903)),f329(f312(x93481,x93484,x93485),x93482)),f329(f312(x93481,x93484,x93485),x93483)))+P1(f329(f329(f240(f916(x93481,a903)),x93482),x93483))
% 191.26/191.47 [9468]~P4(x94681)+~E(f329(x94683,f744(x94683,x94684,x94685,x94682,x94681)),f2(x94681))+E(f329(f168(x94681),f329(f329(f157(x94682,x94681),x94683),f329(f139(x94682,x94684),x94685))),f329(f168(x94681),f329(f329(f157(x94682,x94681),x94683),x94685)))
% 191.26/191.47 [9650]~P21(x96501,x96502,x96503)+~P1(f329(f62(x96501),x96505))+P1(f329(f67(x96501,x96502,x96503,x96504,x96505),f329(f329(f65(x96501,x96502,x96503),x96504),x96505)))
% 191.26/191.47 [9728]~P31(x97282,x97281,x97284,f247(f916(x97282,a903)),f247(f916(x97281,a903)))+~P31(x97281,x97283,x97285,f247(f916(x97281,a903)),f247(f916(x97283,a903)))+E(f329(f74(x97281,x97282,x97283,f94(x97282,x97281,f247(f916(x97282,a903)),x97284)),f94(x97281,x97283,f247(f916(x97281,a903)),x97285)),f94(x97282,x97283,f247(f916(x97282,a903)),f329(f74(x97281,x97283,x97282,x97285),x97284)))
% 191.26/191.47 [9729]P1(f329(x97291,f664(x97292,x97291,x97293,x97294,x97295)))+~P1(f329(f329(f240(f916(x97295,a903)),x97294),x97293))+P1(f329(f329(f240(f916(x97295,a903)),f329(f329(f106(f916(x97295,a903)),x97294),f329(f267(x97295),x97291))),f329(f329(f106(f916(x97295,a903)),x97293),f329(f267(x97295),x97292))))
% 191.26/191.47 [9745]~P4(x97451)+~P1(f329(x97454,f744(x97453,x97454,x97455,x97452,x97451)))+E(f329(f168(x97451),f329(f329(f157(x97452,x97451),x97453),f329(f139(x97452,x97454),x97455))),f329(f168(x97451),f329(f329(f157(x97452,x97451),x97453),x97455)))
% 191.26/191.47 [9822]~P10(x98225)+P1(f329(f329(f331(x98221),f632(x98222,x98223,x98221,x98224,x98225)),x98223))+P1(f329(f329(f240(x98225),x98224),f329(f329(f41(x98221,x98225),x98223),x98222)))
% 191.26/191.47 [9826]~P4(x98261)+E(f329(f168(x98261),f329(f329(f157(x98262,x98261),x98263),f329(f139(x98262,x98264),x98265))),f329(f168(x98261),f329(f329(f157(x98262,x98261),x98263),x98265)))+P1(f329(f329(f331(x98262),f744(x98263,x98264,x98265,x98262,x98261)),f329(f175(x98262),x98265)))
% 191.26/191.47 [9836]~P1(f329(x98365,f664(x98365,x98363,x98364,x98362,x98361)))+~P1(f329(f329(f240(f916(x98361,a903)),x98362),x98364))+P1(f329(f329(f240(f916(x98361,a903)),f329(f329(f106(f916(x98361,a903)),x98362),f329(f267(x98361),x98363))),f329(f329(f106(f916(x98361,a903)),x98364),f329(f267(x98361),x98365))))
% 191.26/191.47 [9852]~P30(x98525,x98523,x98524,f247(f916(x98525,a903)))+P1(f329(x98521,x98522))+P1(f329(f329(f331(x98523),f838(x98522,x98521,x98524,x98523,x98525)),f329(f312(x98525,x98523,x98524),f247(f916(x98525,a903)))))
% 191.26/191.47 [9874]P40(x98741,x98742,x98743,x98744,x98745)+~E(f329(f192(f909(x98742)),x98745),f329(f192(f909(x98741)),x98744))+P1(f329(f329(f241(a908),f721(x98745,x98744,x98743,x98742,x98741)),f329(f192(f909(x98741)),x98744)))
% 191.26/191.47 [9875]P40(x98751,x98752,x98753,x98754,x98755)+~E(f329(f192(f909(x98752)),x98755),f329(f192(f909(x98751)),x98754))+P1(f329(f329(f241(a908),f761(x98753,x98755,x98752,x98754,x98751)),f329(f192(f909(x98751)),x98754)))
% 191.26/191.47 [9908]P1(f329(f329(f331(x99081),f664(x99082,x99083,x99084,x99085,x99081)),x99085))+~P1(f329(f329(f240(f916(x99081,a903)),x99085),x99084))+P1(f329(f329(f240(f916(x99081,a903)),f329(f329(f106(f916(x99081,a903)),x99085),f329(f267(x99081),x99083))),f329(f329(f106(f916(x99081,a903)),x99084),f329(f267(x99081),x99082))))
% 191.26/191.47 [9953]~P10(x99531)+~P1(f329(f329(f240(x99531),x99532),f329(x99535,f632(x99535,x99534,x99533,x99532,x99531))))+P1(f329(f329(f240(x99531),x99532),f329(f329(f41(x99533,x99531),x99534),x99535)))
% 191.26/191.47 [9987]~P80(x99871)+~P1(f329(f62(x99872),x99875))+E(f329(f329(f329(f66(x99871,x99872,f83(x99871)),f329(f329(f18(x99872,x99871,x99871),f329(f329(f8(x99871,f916(x99871,x99871),x99872),f83(x99871)),x99873)),x99874)),f80(x99871)),x99875),f329(f329(f83(x99871),f329(f329(f329(f66(x99871,x99872,f83(x99871)),x99873),f80(x99871)),x99875)),f329(f329(f329(f66(x99871,x99872,f83(x99871)),x99874),f80(x99871)),x99875)))
% 191.26/191.47 [10041]~P1(f329(f329(f331(f915(f916(x100411,a903),f916(x100411,a903))),f329(f329(f257(f916(x100411,a903),f916(x100411,a903)),x100415),x100414)),f320(x100411,x100413)))+~P1(f329(f329(f331(x100411),x100412),x100415))+P1(f329(f329(f331(f915(x100411,x100411)),f329(f329(f257(x100411,x100411),x100412),f588(x100413,x100414,x100415,x100411,x100412))),x100413))
% 191.26/191.47 [10165]~P1(f329(f329(f331(f915(f909(x101651),f909(x101651))),f329(f329(f257(f909(x101651),f909(x101651)),f329(f329(f137(x101651),x101655),x101652)),f329(f329(f137(x101651),x101655),x101653))),f150(x101651,x101654)))+P1(f329(f329(f331(f915(f909(x101651),f909(x101651))),f329(f329(f257(f909(x101651),f909(x101651)),x101652),x101653)),f150(x101651,x101654)))+P1(f329(f329(f331(f915(x101651,x101651)),f329(f329(f257(x101651,x101651),f713(x101654,x101653,x101652,x101655,x101651)),f713(x101654,x101653,x101652,x101655,x101651))),x101654))
% 191.26/191.47 [7350]~E(x73503,x73505)+E(f329(f329(f167(x73501),f329(f329(f162(x73501,x73502),x73503),x73504)),x73505),x73504)+~P1(f329(f329(f241(a908),x73503),f329(f192(f909(x73501)),x73502)))
% 191.26/191.47 [7472]~E(f329(f329(f137(x74721),x74722),x74724),f329(f329(f137(x74721),x74723),x74725))+E(f329(f329(f178(x74721),f329(f192(f909(x74721)),x74722)),x74723),x74722)+P1(f329(f329(f240(a908),f329(f192(f909(x74721)),x74723)),f329(f192(f909(x74721)),x74722)))
% 191.26/191.47 [7977]~E(f329(f329(f137(x79771),x79772),x79774),f329(f329(f137(x79771),x79773),x79775))+E(f329(f329(f178(x79771),f329(f192(f909(x79771)),x79772)),x79773),x79772)+~P1(f329(f329(f240(a908),f329(f192(f909(x79771)),x79772)),f329(f192(f909(x79771)),x79773)))
% 191.26/191.47 [8001]~P1(f329(f62(x80011),f329(x80014,x80015)))+~P1(f329(f329(f331(x80012),x80015),x80013))+P1(f329(f62(x80011),f329(f329(f41(x80012,f916(x80011,a903)),x80013),x80014)))
% 191.26/191.47 [8187]~P60(x81871,x81873,x81875)+~P60(x81871,x81872,x81874)+P60(x81871,f329(f329(f115(f916(x81871,a903)),x81872),x81873),f329(f329(f115(f916(f915(x81871,x81871),a903)),x81874),x81875))
% 191.26/191.47 [8188]~P60(x81881,x81883,x81885)+~P60(x81881,x81882,x81884)+P60(x81881,f329(f329(f106(f916(x81881,a903)),x81882),x81883),f329(f329(f106(f916(f915(x81881,x81881),a903)),x81884),x81885))
% 191.26/191.47 [8544]E(f329(f329(f257(x85441,x85442),f329(f329(f167(x85441),x85443),x85444)),f329(f329(f167(x85442),x85445),x85444)),f329(f329(f167(f915(x85441,x85442)),f329(f329(f184(x85441,x85442),x85443),x85445)),x85444))+~P1(f329(f329(f241(a908),x85444),f329(f192(f909(x85441)),x85443)))+~P1(f329(f329(f241(a908),x85444),f329(f192(f909(x85442)),x85445)))
% 191.26/191.47 [8709]~P60(x87091,x87093,x87094)+P1(f329(f329(f331(x87091),x87092),x87093))+~P1(f329(f329(f331(f915(x87091,x87091)),f329(f329(f257(x87091,x87091),x87095),x87092)),x87094))
% 191.26/191.47 [8710]~P60(x87101,x87103,x87104)+P1(f329(f329(f331(x87101),x87102),x87103))+~P1(f329(f329(f331(f915(x87101,x87101)),f329(f329(f257(x87101,x87101),x87102),x87105)),x87104))
% 191.26/191.47 [8711]~P13(x87111,x87113,x87114)+P1(f329(f329(f331(x87111),x87112),x87113))+~P1(f329(f329(f331(f915(x87111,x87111)),f329(f329(f257(x87111,x87111),x87115),x87112)),x87114))
% 191.26/191.47 [8712]~P13(x87121,x87123,x87124)+P1(f329(f329(f331(x87121),x87122),x87123))+~P1(f329(f329(f331(f915(x87121,x87121)),f329(f329(f257(x87121,x87121),x87122),x87125)),x87124))
% 191.26/191.47 [8973]~P13(x89731,x89735,x89732)+E(f329(f288(x89731,x89731,x89732),f329(f329(f311(x89731),x89733),f191(f916(x89731,a903)))),f329(f288(x89731,x89731,x89732),f329(f329(f311(x89731),x89734),f191(f916(x89731,a903)))))+~P1(f329(f329(f331(f915(x89731,x89731)),f329(f329(f257(x89731,x89731),x89733),x89734)),x89732))
% 191.26/191.47 [9166]P1(f329(x91661,x91662))+~P1(f329(f329(f331(x91663),x91662),x91665))+P1(f329(f329(f331(x91663),f870(x91661,x91664,x91665,x91663)),f329(f329(f115(f916(x91663,a903)),x91665),x91664)))
% 191.26/191.47 [9167]P1(f329(x91671,x91672))+~P1(f329(f329(f331(x91673),x91672),x91674))+P1(f329(f329(f331(x91673),f870(x91671,x91674,x91675,x91673)),f329(f329(f115(f916(x91673,a903)),x91675),x91674)))
% 191.26/191.47 [9175]~P1(f329(x91752,x91755))+~P1(f329(f329(f331(x91751),x91755),x91754))+P1(f329(f329(f331(x91751),f357(x91752,x91753,x91754,x91751)),f329(f329(f115(f916(x91751,a903)),x91754),x91753)))
% 191.26/191.47 [9176]~P1(f329(x91762,x91765))+~P1(f329(f329(f331(x91761),x91765),x91763))+P1(f329(f329(f331(x91761),f357(x91762,x91763,x91764,x91761)),f329(f329(f115(f916(x91761,a903)),x91764),x91763)))
% 191.26/191.47 [9191]~P1(f329(f329(f240(f916(x91911,a903)),x91913),x91915))+~P1(f329(f329(f240(f916(x91911,a903)),x91912),x91914))+P1(f329(f329(f240(f916(x91911,a903)),f329(f329(f115(f916(x91911,a903)),x91912),x91913)),f329(f329(f115(f916(x91911,a903)),x91914),x91915)))
% 191.26/191.47 [9192]~P1(f329(f329(f240(f916(x91921,a903)),x91925),x91923))+~P1(f329(f329(f240(f916(x91921,a903)),x91922),x91924))+P1(f329(f329(f240(f916(x91921,a903)),f329(f329(f23(f916(x91921,a903)),x91922),x91923)),f329(f329(f23(f916(x91921,a903)),x91924),x91925)))
% 191.26/191.47 [9193]~P1(f329(f329(f240(f916(x91931,a903)),x91933),x91935))+~P1(f329(f329(f240(f916(x91931,a903)),x91932),x91934))+P1(f329(f329(f240(f916(x91931,a903)),f329(f329(f106(f916(x91931,a903)),x91932),x91933)),f329(f329(f106(f916(x91931,a903)),x91934),x91935)))
% 191.26/191.47 [9296]P1(f329(f329(f331(f915(x92961,x92961)),f329(f329(f257(x92961,x92961),x92962),x92963)),f323(x92961,x92964,x92965)))+~P1(f329(f329(f240(a908),f329(x92964,x92962)),f329(x92964,x92963)))+~P1(f329(f329(f331(f915(x92961,x92961)),f329(f329(f257(x92961,x92961),x92962),x92963)),x92965))
% 191.26/191.47 [9478]P1(f329(f329(f331(f915(x94781,x94781)),f329(f329(f257(x94781,x94781),x94782),x94783)),f309(x94781,x94784)))+~P1(f329(f329(f331(f915(x94781,x94781)),f329(f329(f257(x94781,x94781),x94782),x94785)),f309(x94781,x94784)))+~P1(f329(f329(f331(f915(x94781,x94781)),f329(f329(f257(x94781,x94781),x94785),x94783)),x94784))
% 191.26/191.47 [9479]P1(f329(f329(f331(f915(x94791,x94791)),f329(f329(f257(x94791,x94791),x94792),x94793)),f309(x94791,x94794)))+~P1(f329(f329(f331(f915(x94791,x94791)),f329(f329(f257(x94791,x94791),x94795),x94793)),f309(x94791,x94794)))+~P1(f329(f329(f331(f915(x94791,x94791)),f329(f329(f257(x94791,x94791),x94792),x94795)),x94794))
% 191.26/191.47 [9577]E(x95771,x95772)+E(f329(a117,f605(x95773,x95774,x95771,x95772,x95775)),x95774)+~P1(f329(f329(f331(f915(x95775,x95775)),f329(f329(f257(x95775,x95775),x95772),x95771)),f329(f329(f186(f915(x95775,x95775),a903),x95774),x95773)))
% 191.26/191.47 [9578]E(x95781,x95782)+E(f329(a117,f607(x95783,x95784,x95781,x95782,x95785)),x95784)+~P1(f329(f329(f331(f915(x95785,x95785)),f329(f329(f257(x95785,x95785),x95782),x95781)),f329(f329(f186(f915(x95785,x95785),a903),x95784),x95783)))
% 191.26/191.47 [9579]E(x95791,f2(a908))+E(f329(a117,f605(x95792,x95791,x95793,x95794,x95795)),x95791)+~P1(f329(f329(f331(f915(x95795,x95795)),f329(f329(f257(x95795,x95795),x95794),x95793)),f329(f329(f186(f915(x95795,x95795),a903),x95791),x95792)))
% 191.26/191.47 [9580]E(x95801,f2(a908))+E(f329(a117,f607(x95802,x95801,x95803,x95804,x95805)),x95801)+~P1(f329(f329(f331(f915(x95805,x95805)),f329(f329(f257(x95805,x95805),x95804),x95803)),f329(f329(f186(f915(x95805,x95805),a903),x95801),x95802)))
% 191.26/191.47 [9602]P1(f329(f329(f331(f915(x96021,x96021)),f329(f329(f257(x96021,x96021),x96022),x96023)),f329(f329(f291(x96021,x96021,x96021),x96024),f309(x96021,x96024))))+~P1(f329(f329(f331(f915(x96021,x96021)),f329(f329(f257(x96021,x96021),x96022),x96025)),x96024))+~P1(f329(f329(f331(f915(x96021,x96021)),f329(f329(f257(x96021,x96021),x96025),x96023)),x96024))
% 191.26/191.47 [9609]~P1(f329(f329(f331(f915(x96091,x96091)),f329(f329(f257(x96091,x96091),x96092),x96095)),f309(x96091,x96094)))+P1(f329(f329(f331(f915(x96091,x96091)),f329(f329(f257(x96091,x96091),x96092),x96093)),f329(f329(f291(x96091,x96091,x96091),x96094),f309(x96091,x96094))))+~P1(f329(f329(f331(f915(x96091,x96091)),f329(f329(f257(x96091,x96091),x96095),x96093)),x96094))
% 191.26/191.47 [9644]~P13(x96441,x96445,x96442)+~P1(f329(f329(f331(f915(x96441,x96441)),f329(f329(f257(x96441,x96441),x96443),x96444)),x96442))+P1(f329(f329(f240(f916(x96441,a903)),f329(f288(x96441,x96441,x96442),f329(f329(f311(x96441),x96443),f191(f916(x96441,a903))))),f329(f288(x96441,x96441,x96442),f329(f329(f311(x96441),x96444),f191(f916(x96441,a903))))))
% 191.26/191.47 [9701]P1(f329(f329(f331(f915(x97011,x97011)),f329(f329(f257(x97011,x97011),x97012),x97013)),f329(f329(f291(x97011,x97011,x97011),x97014),f309(x97011,x97014))))+~P1(f329(f329(f331(f915(x97011,x97011)),f329(f329(f257(x97011,x97011),x97012),x97015)),f329(f329(f291(x97011,x97011,x97011),x97014),f309(x97011,x97014))))+~P1(f329(f329(f331(f915(x97011,x97011)),f329(f329(f257(x97011,x97011),x97015),x97013)),x97014))
% 191.26/191.47 [9702]P1(f329(f329(f331(f915(x97021,x97021)),f329(f329(f257(x97021,x97021),x97022),x97023)),f329(f329(f291(x97021,x97021,x97021),x97024),f309(x97021,x97024))))+~P1(f329(f329(f331(f915(x97021,x97021)),f329(f329(f257(x97021,x97021),x97025),x97023)),f329(f329(f291(x97021,x97021,x97021),x97024),f309(x97021,x97024))))+~P1(f329(f329(f331(f915(x97021,x97021)),f329(f329(f257(x97021,x97021),x97022),x97025)),x97024))
% 191.26/191.47 [9754]~P1(f329(f67(x97541,x97541,x97544,x97542,x97543),x97545))+P1(f329(f329(f331(x97541),x97542),x97543))+P1(f329(f63(x97541,x97544,f329(f329(f311(x97541),x97542),x97543)),x97545))
% 191.26/191.47 [9792]~E(f329(f312(x97923,x97922,x97925),x97924),x97921)+E(x97921,f191(f916(x97922,a903)))+P1(f329(f329(f240(f916(x97923,a903)),f329(f312(x97922,x97923,f700(x97924,x97923,x97922,x97921)),x97921)),x97924))
% 191.26/191.47 [9839]~P10(x98395)+P1(f329(f329(f331(x98391),f470(x98392,x98393,x98394,x98391,x98395)),x98394))+P1(f329(f329(f240(x98395),f329(f329(f40(x98391,x98395),x98394),x98393)),x98392))
% 191.26/191.47 [9894]P40(x98941,x98942,x98943,x98944,x98945)+~E(f329(f192(f909(x98941)),x98944),f329(f192(f909(x98942)),x98945))+P1(f329(f329(f331(f915(x98941,x98942)),f720(x98945,x98944,x98943,x98942,x98941)),f329(f175(f915(x98941,x98942)),f329(f329(f184(x98941,x98942),x98944),x98945))))
% 191.26/191.47 [9895]P40(x98951,x98952,x98953,x98954,x98955)+~E(f329(f192(f909(x98951)),x98954),f329(f192(f909(x98952)),x98955))+P1(f329(f329(f331(f915(x98951,x98952)),f727(x98953,x98955,x98954,x98952,x98951)),f329(f175(f915(x98951,x98952)),f329(f329(f184(x98951,x98952),x98954),x98955))))
% 191.26/191.47 [10020]E(x100201,x100202)+P1(f329(f329(f331(f915(x100203,x100203)),f329(f329(f257(x100203,x100203),x100201),f606(x100204,x100205,x100202,x100201,x100203))),x100204))+~P1(f329(f329(f331(f915(x100203,x100203)),f329(f329(f257(x100203,x100203),x100201),x100202)),f329(f329(f186(f915(x100203,x100203),a903),x100205),x100204)))
% 191.26/191.47 [10021]E(x100211,f2(a908))+P1(f329(f329(f331(f915(x100212,x100212)),f329(f329(f257(x100212,x100212),x100213),f606(x100214,x100211,x100215,x100213,x100212))),x100214))+~P1(f329(f329(f331(f915(x100212,x100212)),f329(f329(f257(x100212,x100212),x100213),x100215)),f329(f329(f186(f915(x100212,x100212),a903),x100211),x100214)))
% 191.26/191.47 [10062]~P10(x100621)+~P1(f329(f329(f240(x100621),f329(x100624,f470(x100625,x100624,x100623,x100622,x100621))),x100625))+P1(f329(f329(f240(x100621),f329(f329(f40(x100622,x100621),x100623),x100624)),x100625))
% 191.26/191.47 [10103]E(x101031,x101032)+P1(f329(f329(f331(f915(x101033,x101033)),f329(f329(f257(x101033,x101033),f608(x101034,x101035,x101031,x101032,x101033)),x101031)),x101034))+~P1(f329(f329(f331(f915(x101033,x101033)),f329(f329(f257(x101033,x101033),x101032),x101031)),f329(f329(f186(f915(x101033,x101033),a903),x101035),x101034)))
% 191.26/191.47 [10104]E(x101041,f2(a908))+P1(f329(f329(f331(f915(x101042,x101042)),f329(f329(f257(x101042,x101042),f608(x101043,x101041,x101044,x101045,x101042)),x101044)),x101043))+~P1(f329(f329(f331(f915(x101042,x101042)),f329(f329(f257(x101042,x101042),x101045),x101044)),f329(f329(f186(f915(x101042,x101042),a903),x101041),x101043)))
% 191.26/191.47 [10108]E(x101081,x101082)+P1(f329(f329(f331(f915(x101083,x101083)),f329(f329(f257(x101083,x101083),x101081),f608(x101084,x101085,x101082,x101081,x101083))),f329(f329(f186(f915(x101083,x101083),a903),f607(x101084,x101085,x101082,x101081,x101083)),x101084)))+~P1(f329(f329(f331(f915(x101083,x101083)),f329(f329(f257(x101083,x101083),x101081),x101082)),f329(f329(f186(f915(x101083,x101083),a903),x101085),x101084)))
% 191.26/191.47 [10109]E(x101091,f2(a908))+P1(f329(f329(f331(f915(x101092,x101092)),f329(f329(f257(x101092,x101092),x101093),f608(x101094,x101091,x101095,x101093,x101092))),f329(f329(f186(f915(x101092,x101092),a903),f607(x101094,x101091,x101095,x101093,x101092)),x101094)))+~P1(f329(f329(f331(f915(x101092,x101092)),f329(f329(f257(x101092,x101092),x101093),x101095)),f329(f329(f186(f915(x101092,x101092),a903),x101091),x101094)))
% 191.26/191.47 [10156]E(x101561,x101562)+P1(f329(f329(f331(f915(x101563,x101563)),f329(f329(f257(x101563,x101563),f606(x101564,x101565,x101561,x101562,x101563)),x101561)),f329(f329(f186(f915(x101563,x101563),a903),f605(x101564,x101565,x101561,x101562,x101563)),x101564)))+~P1(f329(f329(f331(f915(x101563,x101563)),f329(f329(f257(x101563,x101563),x101562),x101561)),f329(f329(f186(f915(x101563,x101563),a903),x101565),x101564)))
% 191.26/191.47 [10157]E(x101571,f2(a908))+P1(f329(f329(f331(f915(x101572,x101572)),f329(f329(f257(x101572,x101572),f606(x101573,x101571,x101574,x101575,x101572)),x101574)),f329(f329(f186(f915(x101572,x101572),a903),f605(x101573,x101571,x101574,x101575,x101572)),x101573)))+~P1(f329(f329(f331(f915(x101572,x101572)),f329(f329(f257(x101572,x101572),x101575),x101574)),f329(f329(f186(f915(x101572,x101572),a903),x101571),x101573)))
% 191.26/191.47 [10193]~P5(x101932)+~P1(f329(f62(x101931),x101935))+E(f329(f329(f6(x101931,x101932),f329(f329(f7(x101931,x101932,x101932),f329(f329(f18(x101931,x101932,f916(x101932,x101932)),f329(f329(f8(a903,f916(x101932,f916(x101932,x101932)),x101931),f99(x101932)),f329(f329(f7(x101931,f916(x101931,a903),a903),f331(x101931)),x101933))),x101934)),f2(x101932))),x101935),f329(f329(f6(x101931,x101932),x101934),f329(f329(f106(f916(x101931,a903)),x101935),x101933)))
% 191.26/191.47 [8773]~P80(x87731)+~P1(f329(f62(x87734),x87735))+E(f329(f329(f83(x87731),f329(x87732,x87733)),f329(f329(f9(x87734,x87731),x87732),f329(f329(f23(f916(x87734,a903)),x87735),f329(f329(f311(x87734),x87733),f191(f916(x87734,a903)))))),f329(f329(f9(x87734,x87731),x87732),f329(f329(f311(x87734),x87733),x87735)))
% 191.26/191.47 [8774]~P5(x87741)+~P1(f329(f62(x87744),x87745))+E(f329(f329(f82(x87741),f329(x87742,x87743)),f329(f329(f6(x87744,x87741),x87742),f329(f329(f23(f916(x87744,a903)),x87745),f329(f329(f311(x87744),x87743),f191(f916(x87744,a903)))))),f329(f329(f6(x87744,x87741),x87742),f329(f329(f311(x87744),x87743),x87745)))
% 191.26/191.47 [9095]~P112(x90952)+~P18(x90952,f329(f171(x90952),f329(f329(f157(x90951,x90952),x90954),x90955)))+E(f329(f139(x90951,f329(f329(f8(x90952,a903,x90951),f329(f241(x90952),x90953)),x90954)),x90955),f180(x90951,f329(f329(f8(x90952,a903,x90951),f329(f241(x90952),x90953)),x90954),x90955))
% 191.26/191.47 [9120]~P5(x91201)+E(f329(f329(f82(x91201),f329(f329(f6(a908,x91201),x91202),f305(a908,x91203,x91204))),f329(f329(f6(a908,x91201),x91202),f305(a908,f329(f329(f82(a908),x91204),f80(a908)),f329(f329(f82(a908),x91204),x91205)))),f329(f329(f6(a908,x91201),x91202),f305(a908,x91203,f329(f329(f82(a908),x91204),x91205))))+~P1(f329(f329(f240(a908),x91203),f329(f329(f82(a908),x91204),f80(a908))))
% 191.26/191.47 [9121]~P1(f329(f329(f331(x91211),x91214),x91215))+~P1(f329(f329(f240(f916(x91211,a903)),f329(f175(x91211),x91212)),x91215))+P1(f329(f329(f240(f916(x91211,a903)),f329(f175(x91211),f329(f329(f162(x91211,x91212),x91213),x91214))),x91215))
% 191.26/191.47 [9355]~P10(x93552)+~P1(f329(f62(x93551),x93555))+E(f329(f329(f65(x93551,x93552,f329(f329(f8(x93552,f916(x93552,x93552),x93551),f115(x93552)),x93553)),x93554),x93555),f329(f329(f115(x93552),x93554),f329(f329(f40(x93551,x93552),x93555),x93553)))
% 191.26/191.47 [9356]~P10(x93562)+~P1(f329(f62(x93561),x93565))+E(f329(f329(f65(x93561,x93562,f329(f329(f8(x93562,f916(x93562,x93562),x93561),f106(x93562)),x93563)),x93564),x93565),f329(f329(f106(x93562),x93564),f329(f329(f41(x93561,x93562),x93565),x93563)))
% 191.26/191.47 [9403]E(f329(x94031,x94032),f329(x94031,x94033))+P1(f329(f329(f241(a908),f329(x94031,x94032)),f329(x94031,x94033)))+~P1(f329(f329(f331(f915(x94034,x94034)),f329(f329(f257(x94034,x94034),x94032),x94033)),f156(x94034,f329(f329(f154(f916(x94034,a908)),x94031),x94035))))
% 191.26/191.47 [9436]~E(f329(x94364,x94362),f329(x94364,x94363))+~P1(f329(f329(f331(f915(x94361,x94361)),f329(f329(f257(x94361,x94361),x94362),x94363)),f156(x94361,x94365)))+P1(f329(f329(f331(f915(x94361,x94361)),f329(f329(f257(x94361,x94361),x94362),x94363)),f156(x94361,f329(f329(f154(f916(x94361,a908)),x94364),x94365))))
% 191.26/191.47 [9456]~P30(x94561,x94562,x94563,x94565)+P30(x94561,x94562,x94563,f329(f329(f311(x94561),x94564),x94565))+P1(f329(f329(f331(x94562),f329(x94563,x94564)),f329(f312(x94561,x94562,x94563),f329(f329(f23(f916(x94561,a903)),x94565),f329(f329(f311(x94561),x94564),f191(f916(x94561,a903)))))))
% 191.26/191.47 [9459]P1(f329(x94592,x94595))+~P1(f329(f329(f331(x94591),x94595),f329(f175(x94591),x94593)))+E(f329(f329(f141(x94591),f329(f192(f909(x94591)),f180(x94591,x94592,f329(f329(f137(x94591),x94593),x94594)))),f329(f329(f137(x94591),x94593),x94594)),f329(f329(f137(x94591),f329(f329(f141(x94591),f329(f192(f909(x94591)),f180(x94591,x94592,x94593))),x94593)),x94594))
% 191.26/191.47 [9464]~P1(f329(f329(f331(f915(x94641,x94641)),f329(f329(f257(x94641,x94641),x94642),x94643)),f156(x94641,x94645)))+~P1(f329(f329(f240(a908),f329(x94644,x94642)),f329(x94644,x94643)))+P1(f329(f329(f331(f915(x94641,x94641)),f329(f329(f257(x94641,x94641),x94642),x94643)),f156(x94641,f329(f329(f154(f916(x94641,a908)),x94644),x94645))))
% 191.26/191.47 [9527]P1(f329(f329(f331(f915(x95274,x95274)),f329(f329(f257(x95274,x95274),x95272),x95273)),f156(x95274,x95275)))+P1(f329(f329(f241(a908),f329(x95271,x95272)),f329(x95271,x95273)))+~P1(f329(f329(f331(f915(x95274,x95274)),f329(f329(f257(x95274,x95274),x95272),x95273)),f156(x95274,f329(f329(f154(f916(x95274,a908)),x95271),x95275))))
% 191.26/191.47 [9673]~P1(f329(f329(f331(f915(f909(x96731),f909(x96731))),f329(f329(f257(f909(x96731),f909(x96731)),x96732),x96734)),f161(x96731,x96735)))+~P1(f329(f329(f241(a908),x96733),f329(f192(f909(x96731)),x96732)))+P1(f329(f329(f331(f915(x96731,x96731)),f329(f329(f257(x96731,x96731),f329(f329(f167(x96731),x96732),x96733)),f329(f329(f167(x96731),x96734),x96733))),x96735))
% 191.26/191.47 [9917]E(x99171,f2(a1))+~P1(f329(f50(x99173,x99171),f329(f329(f257(a1,a1),x99174),x99175)))+P1(f329(f50(f329(f329(f83(a1),x99172),x99173),x99171),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f83(a1),x99172),x99174)),f329(f329(f37(a1),f329(f329(f83(a1),x99172),x99175)),x99171))),f46(a1,f329(f329(f83(a1),x99172),x99175),x99171))))
% 191.26/191.47 [9919]~P1(f329(f329(f241(a908),f2(a908)),x99193))+~P1(f329(f49(x99192,x99193),f329(f329(f257(a908,a908),x99194),x99195)))+P1(f329(f49(f329(f329(f83(a908),x99191),x99192),x99193),f329(f329(f257(a908,a908),f329(f329(f82(a908),f329(f329(f83(a908),x99191),x99194)),f329(f329(f37(a908),f329(f329(f83(a908),x99191),x99195)),x99193))),f46(a908,f329(f329(f83(a908),x99191),x99195),x99193))))
% 191.26/191.47 [10216]~P5(x102162)+~P1(f329(f62(x102161),x102164))+E(f329(f329(f6(x102161,x102162),x102163),f329(f267(x102161),f329(f329(f18(x102161,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102161),a327),f329(f329(f7(x102161,f916(x102161,a903),a903),f331(x102161)),x102164))),f329(f329(f7(x102161,f916(x102161,a903),a903),f331(x102161)),x102165)))),f329(f329(f6(x102161,x102162),f329(f329(f7(x102161,x102162,x102162),f329(f329(f18(x102161,x102162,f916(x102162,x102162)),f329(f329(f8(a903,f916(x102162,f916(x102162,x102162)),x102161),f99(x102162)),f329(f329(f7(x102161,f916(x102161,a903),a903),f331(x102161)),x102165))),x102163)),f2(x102162))),x102164))
% 191.26/191.47 [8393]~E(f329(f329(f137(x83931),x83932),x83935),f329(f329(f137(x83931),x83933),x83934))+E(f329(f329(f137(x83931),f329(f329(f141(x83931),f329(f192(f909(x83931)),x83932)),x83933)),x83934),x83935)+P1(f329(f329(f240(a908),f329(f192(f909(x83931)),x83933)),f329(f192(f909(x83931)),x83932)))
% 191.26/191.47 [8598]~E(f329(f329(f137(x85982),x85983),x85981),f329(f329(f137(x85982),x85984),x85985))+E(x85981,f329(f329(f137(x85982),f329(f329(f141(x85982),f329(f192(f909(x85982)),x85983)),x85984)),x85985))+~P1(f329(f329(f240(a908),f329(f192(f909(x85982)),x85983)),f329(f192(f909(x85982)),x85984)))
% 191.26/191.47 [8692]~E(f329(f329(f82(a908),f329(f329(f83(a908),x86923),x86924)),x86921),f329(f329(f82(a908),f329(f329(f83(a908),x86922),x86924)),x86925))+~P1(f329(f329(f240(a908),x86923),x86922))+E(x86921,f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x86922),x86923)),x86924)),x86925))
% 191.26/191.47 [8693]~E(f329(f329(f82(a908),f329(f329(f83(a908),x86931),x86933)),x86934),f329(f329(f82(a908),f329(f329(f83(a908),x86932),x86933)),x86935))+~P1(f329(f329(f240(a908),x86932),x86931))+E(f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x86931),x86932)),x86933)),x86934),x86935)
% 191.26/191.47 [8850]E(f329(f329(f82(a908),f329(f329(f83(a908),x88501),x88502)),x88503),f329(f329(f82(a908),f329(f329(f83(a908),x88504),x88502)),x88505))+~P1(f329(f329(f240(a908),x88504),x88501))+~E(x88505,f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x88501),x88504)),x88502)),x88503))
% 191.26/191.47 [8851]E(f329(f329(f82(a908),f329(f329(f83(a908),x88511),x88512)),x88513),f329(f329(f82(a908),f329(f329(f83(a908),x88514),x88512)),x88515))+~P1(f329(f329(f240(a908),x88514),x88511))+~E(f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x88511),x88514)),x88512)),x88513),x88515)
% 191.26/191.47 [9726]~P71(x97262)+~P1(f329(f62(x97261),x97265))+E(f329(f329(f9(x97261,x97262),f329(f329(f18(x97261,x97262,x97262),f329(f329(f8(x97262,f916(x97262,x97262),x97261),f292(x97262)),x97263)),x97264)),x97265),f329(f329(f292(x97262),f329(f329(f9(x97261,x97262),x97263),x97265)),f329(f329(f9(x97261,x97262),x97264),x97265)))
% 191.26/191.47 [9857]~E(f619(x98575,x98574,x98573,x98572,x98571),f615(x98575,x98574,x98573,x98572,x98571))+P1(f329(f329(f331(f915(x98571,x98571)),f329(f329(f257(x98571,x98571),x98572),x98573)),f309(x98571,x98574)))+~P1(f329(f329(f331(f915(x98571,x98571)),f329(f329(f257(x98571,x98571),x98572),x98573)),f309(x98571,f329(f329(f115(f916(f915(x98571,x98571),a903)),x98574),x98575))))
% 191.26/191.47 [9858]~E(f620(x98585,x98584,x98583,x98582,x98581),f621(x98585,x98584,x98583,x98582,x98581))+P1(f329(f329(f331(f915(x98581,x98581)),f329(f329(f257(x98581,x98581),x98582),x98583)),f309(x98581,x98584)))+~P1(f329(f329(f331(f915(x98581,x98581)),f329(f329(f257(x98581,x98581),x98582),x98583)),f309(x98581,f329(f329(f115(f916(f915(x98581,x98581),a903)),x98584),x98585))))
% 191.26/191.47 [10052]P1(f329(f329(f331(f915(x100521,x100521)),f329(f329(f257(x100521,x100521),x100522),f621(x100525,x100524,x100523,x100522,x100521))),f309(x100521,x100524)))+P1(f329(f329(f331(f915(x100521,x100521)),f329(f329(f257(x100521,x100521),x100522),x100523)),f309(x100521,x100524)))+~P1(f329(f329(f331(f915(x100521,x100521)),f329(f329(f257(x100521,x100521),x100522),x100523)),f309(x100521,f329(f329(f115(f916(f915(x100521,x100521),a903)),x100524),x100525))))
% 191.26/191.47 [10130]P1(f329(f329(f331(f915(x101301,x101301)),f329(f329(f257(x101301,x101301),f615(x101305,x101304,x101303,x101302,x101301)),x101303)),f309(x101301,x101304)))+P1(f329(f329(f331(f915(x101301,x101301)),f329(f329(f257(x101301,x101301),x101302),x101303)),f309(x101301,x101304)))+~P1(f329(f329(f331(f915(x101301,x101301)),f329(f329(f257(x101301,x101301),x101302),x101303)),f309(x101301,f329(f329(f115(f916(f915(x101301,x101301),a903)),x101304),x101305))))
% 191.26/191.47 [10163]P1(f329(f329(f331(f915(x101631,x101631)),f329(f329(f257(x101631,x101631),x101632),x101633)),f309(x101631,x101634)))+P1(f329(f329(f331(f915(x101631,x101631)),f329(f329(f257(x101631,x101631),f619(x101635,x101634,x101633,x101632,x101631)),f615(x101635,x101634,x101633,x101632,x101631))),x101635))+~P1(f329(f329(f331(f915(x101631,x101631)),f329(f329(f257(x101631,x101631),x101632),x101633)),f309(x101631,f329(f329(f115(f916(f915(x101631,x101631),a903)),x101634),x101635))))
% 191.26/191.47 [10164]P1(f329(f329(f331(f915(x101641,x101641)),f329(f329(f257(x101641,x101641),x101642),x101643)),f309(x101641,x101644)))+P1(f329(f329(f331(f915(x101641,x101641)),f329(f329(f257(x101641,x101641),f621(x101645,x101644,x101643,x101642,x101641)),f620(x101645,x101644,x101643,x101642,x101641))),x101645))+~P1(f329(f329(f331(f915(x101641,x101641)),f329(f329(f257(x101641,x101641),x101642),x101643)),f309(x101641,f329(f329(f115(f916(f915(x101641,x101641),a903)),x101644),x101645))))
% 191.26/191.47 [10307]~P1(f329(f329(f331(f915(f909(x103071),f909(x103071))),f329(f329(f257(f909(x103071),f909(x103071)),x103074),x103075)),f161(x103071,x103072)))+~P1(f329(f329(f331(f915(x103071,x103071)),x103073),f329(f175(f915(x103071,x103071)),f329(f329(f184(x103071,x103071),x103074),x103075))))+P1(f329(f329(f262(x103071,x103071,a903),f329(f329(f7(x103071,f916(f915(x103071,x103071),a903),f916(x103071,a903)),f329(f329(f8(f916(x103071,f916(f916(f915(x103071,x103071),a903),a903)),f916(f916(f915(x103071,x103071),a903),f916(x103071,a903)),x103071),f7(x103071,f916(f915(x103071,x103071),a903),a903)),f329(f329(f8(f916(x103071,f915(x103071,x103071)),f916(x103071,f916(f916(f915(x103071,x103071),a903),a903)),x103071),f329(f8(f915(x103071,x103071),f916(f916(f915(x103071,x103071),a903),a903),x103071),f331(f915(x103071,x103071)))),f257(x103071,x103071)))),x103072)),x103073))
% 191.26/191.47 [9758]~P1(f329(f329(f240(a908),x97583),x97582))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),f329(f329(f83(a908),x97583),x97584)),x97581)),f329(f329(f82(a908),f329(f329(f83(a908),x97582),x97584)),x97585)))+P1(f329(f329(f240(a908),x97581),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x97582),x97583)),x97584)),x97585)))
% 191.26/191.47 [9759]~P1(f329(f329(f240(a908),x97593),x97592))+~P1(f329(f329(f241(a908),f329(f329(f82(a908),f329(f329(f83(a908),x97593),x97594)),x97591)),f329(f329(f82(a908),f329(f329(f83(a908),x97592),x97594)),x97595)))+P1(f329(f329(f241(a908),x97591),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x97592),x97593)),x97594)),x97595)))
% 191.26/191.47 [9776]~P1(f329(f329(f240(a908),x97761),x97764))+P1(f329(f329(f240(a908),f329(f329(f82(a908),f329(f329(f83(a908),x97761),x97762)),x97763)),f329(f329(f82(a908),f329(f329(f83(a908),x97764),x97762)),x97765)))+~P1(f329(f329(f240(a908),x97763),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x97764),x97761)),x97762)),x97765)))
% 191.26/191.47 [9777]~P1(f329(f329(f240(a908),x97771),x97774))+P1(f329(f329(f241(a908),f329(f329(f82(a908),f329(f329(f83(a908),x97771),x97772)),x97773)),f329(f329(f82(a908),f329(f329(f83(a908),x97774),x97772)),x97775)))+~P1(f329(f329(f241(a908),x97773),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x97774),x97771)),x97772)),x97775)))
% 191.26/191.47 [9892]~P1(f329(f329(f240(a908),x98922),x98921))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),f329(f329(f83(a908),x98921),x98923)),x98924)),f329(f329(f82(a908),f329(f329(f83(a908),x98922),x98923)),x98925)))+P1(f329(f329(f240(a908),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x98921),x98922)),x98923)),x98924)),x98925))
% 191.26/191.47 [9893]~P1(f329(f329(f240(a908),x98932),x98931))+~P1(f329(f329(f241(a908),f329(f329(f82(a908),f329(f329(f83(a908),x98931),x98933)),x98934)),f329(f329(f82(a908),f329(f329(f83(a908),x98932),x98933)),x98935)))+P1(f329(f329(f241(a908),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x98931),x98932)),x98933)),x98934)),x98935))
% 191.26/191.47 [9938]~P1(f329(f329(f240(a908),x99384),x99381))+P1(f329(f329(f240(a908),f329(f329(f82(a908),f329(f329(f83(a908),x99381),x99382)),x99383)),f329(f329(f82(a908),f329(f329(f83(a908),x99384),x99382)),x99385)))+~P1(f329(f329(f240(a908),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x99381),x99384)),x99382)),x99383)),x99385))
% 191.26/191.47 [9939]~P1(f329(f329(f240(a908),x99394),x99391))+P1(f329(f329(f241(a908),f329(f329(f82(a908),f329(f329(f83(a908),x99391),x99392)),x99393)),f329(f329(f82(a908),f329(f329(f83(a908),x99394),x99392)),x99395)))+~P1(f329(f329(f241(a908),f329(f329(f82(a908),f329(f329(f83(a908),f329(f329(f23(a908),x99391),x99394)),x99392)),x99393)),x99395))
% 191.26/191.47 [10151]~P16(x101511,x101512,x101515,x101513)+~P1(f329(f329(f331(f915(x101511,x101511)),x101514),x101515))+P1(f329(f329(f262(x101511,x101511,a903),f329(f329(f7(x101511,f916(x101511,x101512),f916(x101511,a903)),f329(f329(f8(f916(x101512,a903),f916(f916(x101511,x101512),f916(x101511,a903)),x101511),f8(x101512,a903,x101511)),f329(f329(f8(x101512,f916(x101512,a903),x101511),a326),x101513))),x101513)),x101514))
% 191.26/191.47 [10172]~P114(x101721)+~P46(x101721,f916(x101722,a903),x101723)+P46(x101721,f916(x101722,a903),f329(f329(f7(x101721,f916(x101722,a903),f916(x101722,a903)),f329(f329(f8(f916(x101722,a903),f916(f916(x101722,a903),f916(x101722,a903)),x101721),f115(f916(x101722,a903))),f329(f329(f7(x101721,f916(x101722,a903),f916(x101722,a903)),f329(f329(f8(f916(x101722,a903),f916(f916(x101722,a903),f916(x101722,a903)),x101721),f115(f916(x101722,a903))),x101723)),x101724))),x101725))
% 191.26/191.47 [7366]~P48(x73664,x73662,x73665,x73666)+P48(f29(x73661,x73663,x73664),x73662,x73665,x73666)+P1(f329(x73661,x73662))
% 191.26/191.47 [7441]~P48(x74412,x74414,x74415,x74416)+P48(f29(x74411,x74412,x74413),x74414,x74415,x74416)+~P1(f329(x74411,x74414))
% 191.26/191.47 [7525]P48(x75253,x75252,x75254,x75255)+~P48(f29(x75251,x75256,x75253),x75252,x75254,x75255)+P1(f329(x75251,x75252))
% 191.26/191.47 [7555]P48(x75551,x75552,x75553,x75554)+~P48(f29(x75555,x75551,x75556),x75552,x75553,x75554)+~P1(f329(x75555,x75552))
% 191.26/191.47 [7925]~P48(x79251,x79253,x79254,x79256)+~P48(x79252,x79256,x79254,x79255)+P48(f32(x79251,x79252),x79253,x79254,x79255)
% 191.26/191.47 [7928]P48(x79281,x79282,x79283,x79284)+P48(x79285,x79282,x79283,x79284)+~P48(f29(x79286,x79281,x79285),x79282,x79283,x79284)
% 191.26/191.47 [8556]~P24(x85566,x85561,x85562,x85564)+E(f329(f74(x85561,x85561,x85561,f329(x85562,x85563)),f329(x85564,x85565)),f329(f74(x85561,x85561,x85561,f329(x85564,x85565)),f329(x85562,x85563)))+~P1(f329(f62(x85566),x85565))
% 191.26/191.47 [8985]~P30(x89851,x89853,x89855,x89856)+~P30(x89853,x89852,x89854,f329(f312(x89851,x89853,x89855),x89856))+P30(x89851,x89852,f329(f74(x89853,x89852,x89851,x89854),x89855),x89856)
% 191.26/191.47 [9561]~P1(f329(f329(x95613,x95612),x95616))+~P1(f329(f329(x95614,x95615),x95612))+P1(f329(f329(f331(x95611),x95612),f302(x95611,x95613,x95614,x95615,x95616)))
% 191.26/191.47 [9562]~P1(f329(f329(x95624,x95622),x95626))+~P1(f329(f329(x95623,x95625),x95622))+P1(f329(f329(f331(x95621),x95622),f299(x95621,x95623,x95624,x95625,x95626)))
% 191.26/191.47 [9674]E(x96741,x96742)+E(x96743,x96744)+~P1(f329(f329(f331(f915(f909(x96745),f909(x96745))),f329(f329(f257(f909(x96745),f909(x96745)),f329(f329(f154(x96745),x96743),x96741)),f329(f329(f154(x96745),x96744),x96742))),f160(x96745,x96746)))
% 191.26/191.47 [9683]~E(x96832,x96834)+P1(f329(f329(f331(f915(f909(x96831),f909(x96831))),f329(f329(f257(f909(x96831),f909(x96831)),f329(f329(f154(x96831),x96832),x96833)),f329(f329(f154(x96831),x96834),x96835))),f148(x96831,x96836)))+~P1(f329(f329(f331(f915(f909(x96831),f909(x96831))),f329(f329(f257(f909(x96831),f909(x96831)),x96833),x96835)),f148(x96831,x96836)))
% 191.26/191.47 [9684]~E(x96842,x96844)+P1(f329(f329(f331(f915(f909(x96841),f909(x96841))),f329(f329(f257(f909(x96841),f909(x96841)),f329(f329(f154(x96841),x96842),x96843)),f329(f329(f154(x96841),x96844),x96845))),f150(x96841,x96846)))+~P1(f329(f329(f331(f915(f909(x96841),f909(x96841))),f329(f329(f257(f909(x96841),f909(x96841)),x96843),x96845)),f150(x96841,x96846)))
% 191.26/191.47 [9685]~E(x96852,x96854)+P1(f329(f329(f331(f915(f909(x96851),f909(x96851))),f329(f329(f257(f909(x96851),f909(x96851)),f329(f329(f154(x96851),x96852),x96853)),f329(f329(f154(x96851),x96854),x96855))),f160(x96851,x96856)))+~P1(f329(f329(f331(f915(f909(x96851),f909(x96851))),f329(f329(f257(f909(x96851),f909(x96851)),x96853),x96855)),f160(x96851,x96856)))
% 191.26/191.47 [9686]~E(x96862,x96864)+P1(f329(f329(f331(f915(f909(x96861),f909(x96861))),f329(f329(f257(f909(x96861),f909(x96861)),f329(f329(f137(x96861),x96862),x96863)),f329(f329(f137(x96861),x96864),x96865))),f160(x96861,x96866)))+~P1(f329(f329(f331(f915(f909(x96861),f909(x96861))),f329(f329(f257(f909(x96861),f909(x96861)),x96863),x96865)),f160(x96861,x96866)))
% 191.26/191.47 [9687]~E(x96873,x96875)+P1(f329(f329(f331(f915(f909(x96871),f909(x96871))),f329(f329(f257(f909(x96871),f909(x96871)),f329(f329(f137(x96871),x96872),x96873)),f329(f329(f137(x96871),x96874),x96875))),f160(x96871,x96876)))+~P1(f329(f329(f331(f915(f909(x96871),f909(x96871))),f329(f329(f257(f909(x96871),f909(x96871)),x96872),x96874)),f160(x96871,x96876)))
% 191.26/191.47 [9746]E(x97461,x97462)+P1(f329(f329(f331(f915(f909(x97463),f909(x97463))),f329(f329(f257(f909(x97463),f909(x97463)),x97461),x97462)),f160(x97463,x97464)))+~P1(f329(f329(f331(f915(f909(x97463),f909(x97463))),f329(f329(f257(f909(x97463),f909(x97463)),f329(f329(f154(x97463),x97465),x97461)),f329(f329(f154(x97463),x97466),x97462))),f160(x97463,x97464)))
% 191.26/191.47 [9896]~E(x98963,x98965)+P1(f329(f329(f331(f915(f909(x98961),f909(x98961))),f329(f329(f257(f909(x98961),f909(x98961)),f329(f329(f137(x98961),x98962),f329(f329(f154(x98961),x98963),f118(x98961)))),f329(f329(f137(x98961),x98964),f329(f329(f154(x98961),x98965),f118(x98961))))),f160(x98961,x98966)))+~P1(f329(f329(f331(f915(f909(x98961),f909(x98961))),f329(f329(f257(f909(x98961),f909(x98961)),x98962),x98964)),f160(x98961,x98966)))
% 191.26/191.47 [9942]E(x99421,x99422)+E(x99423,x99424)+~P1(f329(f329(f331(f915(f909(x99425),f909(x99425))),f329(f329(f257(f909(x99425),f909(x99425)),f329(f329(f137(x99425),x99423),f329(f329(f154(x99425),x99421),f118(x99425)))),f329(f329(f137(x99425),x99424),f329(f329(f154(x99425),x99422),f118(x99425))))),f160(x99425,x99426)))
% 191.26/191.47 [9967]E(x99671,x99672)+~P1(f329(f329(f331(f915(f909(x99673),f909(x99673))),f329(f329(f257(f909(x99673),f909(x99673)),f329(f329(f137(x99673),x99671),f329(f329(f154(x99673),x99675),f118(x99673)))),f329(f329(f137(x99673),x99672),f329(f329(f154(x99673),x99676),f118(x99673))))),f160(x99673,x99674)))+P1(f329(f329(f331(f915(f909(x99673),f909(x99673))),f329(f329(f257(f909(x99673),f909(x99673)),x99671),x99672)),f160(x99673,x99674)))
% 191.26/191.47 [10003]~P1(f329(f329(f331(f915(f916(x100031,a903),f916(x100031,a903))),f329(f329(f257(f916(x100031,a903),f916(x100031,a903)),x100032),x100034)),f320(x100031,x100036)))+~P1(f329(f329(f331(f915(f916(x100031,a903),f916(x100031,a903))),f329(f329(f257(f916(x100031,a903),f916(x100031,a903)),x100033),x100035)),f320(x100031,x100036)))+P1(f329(f329(f331(f915(f916(x100031,a903),f916(x100031,a903))),f329(f329(f257(f916(x100031,a903),f916(x100031,a903)),f329(f329(f115(f916(x100031,a903)),x100032),x100033)),f329(f329(f115(f916(x100031,a903)),x100034),x100035))),f320(x100031,x100036)))
% 191.26/191.47 [5771]~E(f329(f329(f137(x57711),x57716),x57713),x57715)+E(f329(f329(f137(x57711),x57712),x57713),f329(f329(f154(x57711),x57714),x57715))+~E(x57712,f329(f329(f154(x57711),x57714),x57716))
% 191.26/191.47 [5772]~E(f329(f329(f137(x57721),x57726),x57723),x57725)+E(f329(f329(f137(x57721),x57722),x57723),f329(f329(f137(x57721),x57724),x57725))+~E(x57722,f329(f329(f137(x57721),x57724),x57726))
% 191.26/191.47 [5774]E(f329(f329(f137(x57741),x57742),x57743),f329(f329(f154(x57741),x57744),x57745))+~E(f329(f329(f154(x57741),x57744),x57746),x57742)+~E(x57745,f329(f329(f137(x57741),x57746),x57743))
% 191.26/191.47 [5776]~E(f329(f329(f137(x57761),x57762),x57766),x57764)+E(f329(f329(f137(x57761),x57762),x57763),f329(f329(f137(x57761),x57764),x57765))+~E(x57763,f329(f329(f137(x57761),x57766),x57765))
% 191.26/191.47 [6916]E(f329(x69161,x69162),f329(x69163,x69162))+~E(f329(f329(f157(x69164,x69165),x69161),x69166),f329(f329(f157(x69164,x69165),x69163),x69166))+~P1(f329(f329(f331(x69164),x69162),f329(f175(x69164),x69166)))
% 191.26/191.47 [7297]~P24(x72974,x72975,x72976,x72971)+E(f329(f329(x72971,x72972),x72973),f329(f329(f65(x72974,x72975,x72976),x72973),x72972))+~P1(f329(f62(x72974),x72972))
% 191.26/191.47 [7371]~E(x73712,f329(x73714,x73716))+~P1(f329(f329(f331(x73713),x73716),x73715))+P1(f329(f329(f331(x73711),x73712),f329(f312(x73713,x73711,x73714),x73715)))
% 191.26/191.47 [7372]~E(f329(x73724,x73722),x73726)+~P1(f329(f329(f331(x73723),x73726),x73725))+P1(f329(f329(f331(x73721),x73722),f329(f313(x73721,x73723,x73724),x73725)))
% 191.26/191.47 [7827]~P38(x78271,x78272,x78274,x78276)+P38(x78271,x78272,f329(f329(f154(x78271),x78273),x78274),f329(f329(f154(x78271),x78275),x78276))+~P1(f329(f329(x78272,x78273),x78275))
% 191.26/191.47 [8858]~P64(x88584,x88585,x88581,x88582,x88586)+E(f329(x88581,f329(x88582,x88583)),x88583)+~P1(f329(f329(f331(x88585),x88583),x88586))
% 191.26/191.47 [9364]~P31(x93642,x93641,x93645,x93644,x93643)+E(f329(f94(x93641,x93642,x93643,f94(x93642,x93641,x93644,x93645)),x93646),f329(x93645,x93646))+~P1(f329(f329(f331(x93642),x93646),x93644))
% 191.26/191.47 [9374]~P30(x93741,x93742,x93743,x93746)+P30(x93741,x93742,f76(x93741,x93742,x93743,x93744,x93745),x93746)+P1(f329(f329(f331(x93742),x93745),f329(f312(x93741,x93742,x93743),x93746)))
% 191.26/191.47 [9676]E(x96761,x96762)+E(f329(f192(f909(x96763)),x96764),f329(f192(f909(x96763)),x96765))+~P1(f329(f329(f331(f915(f909(x96763),f909(x96763))),f329(f329(f257(f909(x96763),f909(x96763)),f329(f329(f154(x96763),x96761),x96764)),f329(f329(f154(x96763),x96762),x96765))),f148(x96763,x96766)))
% 191.26/191.47 [9740]~P21(x97401,x97402,x97403)+E(f329(f329(f65(x97401,x97402,x97403),x97404),x97405),x97406)+~P1(f329(f67(x97401,x97402,x97403,x97404,x97405),x97406))
% 191.26/191.47 [9749]E(f329(f192(f909(x97491)),x97492),f329(f192(f909(x97491)),x97493))+P1(f329(f329(f331(f915(f909(x97491),f909(x97491))),f329(f329(f257(f909(x97491),f909(x97491)),x97492),x97493)),f148(x97491,x97494)))+~P1(f329(f329(f331(f915(f909(x97491),f909(x97491))),f329(f329(f257(f909(x97491),f909(x97491)),f329(f329(f154(x97491),x97495),x97492)),f329(f329(f154(x97491),x97496),x97493))),f148(x97491,x97494)))
% 191.26/191.47 [9770]~P1(f329(f329(f331(f915(x97701,x97701)),f329(f329(f257(x97701,x97701),x97702),x97704)),f309(x97701,x97706)))+P1(f329(f329(f331(f915(f909(x97701),f909(x97701))),f329(f329(f257(f909(x97701),f909(x97701)),f329(f329(f154(x97701),x97702),x97703)),f329(f329(f154(x97701),x97704),x97705))),f309(f909(x97701),f160(x97701,x97706))))+~P1(f329(f329(f331(f915(f909(x97701),f909(x97701))),f329(f329(f257(f909(x97701),f909(x97701)),x97703),x97705)),f309(f909(x97701),f160(x97701,x97706))))
% 191.26/191.47 [9948]~P1(f329(x99482,x99486))+~E(f329(f139(x99481,x99482),x99483),f329(f329(f154(x99481),x99484),x99485))+~P1(f329(f329(f331(x99481),x99486),f329(f175(x99481),f771(x99485,x99484,x99483,x99482,x99481))))
% 191.26/191.47 [9949]~P1(f329(x99494,x99496))+~E(f329(f329(f154(x99491),x99492),x99493),f329(f139(x99491,x99494),x99495))+~P1(f329(f329(f331(x99491),x99496),f329(f175(x99491),f768(x99495,x99494,x99493,x99492,x99491))))
% 191.26/191.47 [10252]~P5(x102522)+E(f329(f329(f6(x102521,x102522),f329(f329(f8(f916(x102523,a903),x102522,x102521),f329(f6(x102523,x102522),x102524)),f329(f329(f8(f916(x102523,a903),f916(x102523,a903),x102521),f267(x102523)),f329(f329(f8(f916(x102523,a903),f916(x102523,a903),x102521),f329(f18(x102523,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102523),a327),f329(f329(f7(x102523,f916(x102523,a903),a903),f331(x102523)),x102525)))),f329(f7(x102523,x102521,a903),f329(f329(f8(x102521,f916(x102521,a903),x102523),a326),x102526)))))),f329(f312(x102523,x102521,x102526),x102525)),f329(f329(f6(x102523,x102522),x102524),x102525))+~P1(f329(f62(x102523),x102525))
% 191.26/191.47 [6972]~P112(x69723)+P1(f329(x69722,x69725))+E(f329(f139(x69721,x69722),f329(f329(f151(x69721,x69723,x69724),x69725),x69726)),f329(f139(x69721,x69722),x69726))
% 191.26/191.47 [6974]P1(f329(x69741,x69742))+~E(f169(x69743,x69741,x69744),f329(f329(f257(f909(x69743),f909(x69743)),x69745),x69746))+~P1(f329(f329(f331(x69743),x69742),f329(f175(x69743),x69745)))
% 191.26/191.47 [7017]~P1(f329(x70172,x70176))+~E(f169(x70171,x70172,x70173),f329(f329(f257(f909(x70171),f909(x70171)),x70174),x70175))+~P1(f329(f329(f331(x70171),x70176),f329(f175(x70171),x70175)))
% 191.26/191.47 [7691]~P19(x76911,x76912,x76913)+~P1(f329(f62(x76911),x76916))+E(f329(f329(f65(x76911,x76912,x76913),x76914),f329(f329(f311(x76911),x76915),x76916)),f329(f329(f65(x76911,x76912,x76913),f329(f329(x76913,x76915),x76914)),x76916))
% 191.26/191.47 [7742]~P112(x77422)+~P1(f329(f329(f240(x77422),f329(x77423,x77424)),f329(x77423,x77425)))+E(f329(f329(f151(x77421,x77422,x77423),x77424),f329(f329(f154(x77421),x77425),x77426)),f329(f329(f154(x77421),x77424),f329(f329(f154(x77421),x77425),x77426)))
% 191.26/191.47 [7856]E(x78561,x78562)+~E(f329(f329(f259(x78563,x78564),x78561),f329(f16(f916(x78564,a903),x78563),x78565)),f329(f329(f259(x78563,x78564),x78562),f329(f16(f916(x78564,a903),x78563),x78565)))+~P1(f329(f329(f331(x78564),x78566),x78565))
% 191.26/191.47 [7930]~P19(x79301,x79302,x79303)+~P1(f329(f62(x79301),x79306))+E(f329(f329(f65(x79301,x79302,x79303),x79304),f329(f329(f311(x79301),x79305),x79306)),f329(f329(x79303,x79305),f329(f329(f65(x79301,x79302,x79303),x79304),x79306)))
% 191.26/191.47 [8047]~P21(x80471,x80472,x80473)+~P1(f329(f62(x80471),x80476))+E(f329(f329(f65(x80471,x80472,x80473),f329(f329(x80473,x80474),x80475)),x80476),f329(f329(x80473,x80474),f329(f329(f65(x80471,x80472,x80473),x80475),x80476)))
% 191.26/191.47 [8118]~P25(x81182,x81185,x81186,x81181)+~P1(f329(f62(x81182),x81184))+E(f329(x81181,f329(f329(f311(x81182),x81183),x81184)),f329(f74(x81185,x81185,x81185,f329(x81181,x81184)),f329(x81186,x81183)))
% 191.26/191.47 [8156]~P112(x81562)+P1(f329(f329(f240(x81562),f329(x81563,x81564)),f329(x81563,x81565)))+E(f329(f329(f151(x81561,x81562,x81563),x81564),f329(f329(f154(x81561),x81565),x81566)),f329(f329(f154(x81561),x81565),f329(f329(f151(x81561,x81562,x81563),x81564),x81566)))
% 191.26/191.47 [8299]~E(f329(f192(f909(x82991)),x82995),f329(f192(f909(x82992)),x82996))+~E(f329(f192(f909(x82991)),x82993),f329(f192(f909(x82992)),x82994))+E(f329(f329(f137(f915(x82991,x82992)),f329(f329(f184(x82991,x82992),x82993),x82994)),f329(f329(f184(x82991,x82992),x82995),x82996)),f329(f329(f184(x82991,x82992),f329(f329(f137(x82991),x82993),x82995)),f329(f329(f137(x82992),x82994),x82996)))
% 191.26/191.47 [8411]~E(x84112,f329(f312(x84113,x84111,x84114),x84116))+P1(f329(f329(f240(f916(x84111,a903)),x84112),f329(f312(x84113,x84111,x84114),x84115)))+~P1(f329(f329(f240(f916(x84113,a903)),x84116),x84115))
% 191.26/191.47 [8514]~P112(x85145)+E(f329(x85141,x85142),f329(x85141,x85143))+E(f329(f329(f151(x85144,x85145,x85141),x85142),f329(f329(f151(x85144,x85145,x85141),x85143),x85146)),f329(f329(f151(x85144,x85145,x85141),x85143),f329(f329(f151(x85144,x85145,x85141),x85142),x85146)))
% 191.26/191.47 [8701]~P1(f329(f329(f331(x87012),x87014),f329(x87016,x87013)))+~P1(f329(f329(f331(x87011),x87013),x87015))+P1(f329(f329(f331(f915(x87011,x87012)),f329(f329(f257(x87011,x87012),x87013),x87014)),f329(f329(f259(x87011,x87012),x87015),x87016)))
% 191.26/191.47 [9164]~P80(x91642)+~P30(x91644,x91641,x91645,x91646)+E(f329(f329(f9(x91641,x91642),x91643),f329(f312(x91644,x91641,x91645),x91646)),f329(f329(f9(x91644,x91642),f329(f74(x91641,x91642,x91644,x91643),x91645)),x91646))
% 191.26/191.47 [9165]~P5(x91652)+~P30(x91654,x91651,x91655,x91656)+E(f329(f329(f6(x91651,x91652),x91653),f329(f312(x91654,x91651,x91655),x91656)),f329(f329(f6(x91654,x91652),f329(f74(x91651,x91652,x91654,x91653),x91655)),x91656))
% 191.26/191.47 [9211]~P40(x92112,x92115,x92111,x92113,x92116)+P1(f329(f329(x92111,f329(f329(f167(x92112),x92113),x92114)),f329(f329(f167(x92115),x92116),x92114)))+~P1(f329(f329(f241(a908),x92114),f329(f192(f909(x92115)),x92116)))
% 191.26/191.47 [9212]~P40(x92122,x92125,x92121,x92123,x92126)+P1(f329(f329(x92121,f329(f329(f167(x92122),x92123),x92124)),f329(f329(f167(x92125),x92126),x92124)))+~P1(f329(f329(f241(a908),x92124),f329(f192(f909(x92122)),x92123)))
% 191.26/191.47 [9223]~E(f329(f312(x92231,x92232,x92233),x92234),x92236)+E(f329(f312(x92231,x92232,x92233),f329(f312(x92232,x92231,f94(x92231,x92232,x92234,x92233)),x92235)),x92235)+~P1(f329(f329(f240(f916(x92232,a903)),x92235),x92236))
% 191.26/191.47 [9431]~P24(x94313,x94311,x94316,x94312)+~P1(f329(f62(x94313),x94314))+E(f329(f74(x94311,x94311,x94311,f329(x94312,f329(f329(f23(f916(x94313,a903)),x94314),f329(f329(f311(x94313),x94315),f191(f916(x94313,a903)))))),f329(x94316,x94315)),f329(x94312,f329(f329(f311(x94313),x94315),x94314)))
% 191.26/191.47 [9443]~P1(f329(f329(f331(x94435),x94433),x94436))+P1(f329(f329(f331(x94431),f329(x94432,x94433)),f101(f916(x94431,a903),x94434)))+~P1(f329(f329(f240(f916(x94431,a903)),f329(f312(x94435,x94431,x94432),x94436)),f329(x94434,f329(f312(x94435,x94431,x94432),x94436))))
% 191.26/191.47 [10032]~E(f329(f312(x100322,x100324,x100326),f247(f916(x100322,a903))),f247(f916(x100324,a903)))+~E(f329(f312(x100321,x100323,x100325),f247(f916(x100321,a903))),f247(f916(x100323,a903)))+E(f329(f312(f915(x100321,x100322),f915(x100323,x100324),f263(x100321,x100323,x100322,x100324,x100325,x100326)),f247(f916(f915(x100321,x100322),a903))),f247(f916(f915(x100323,x100324),a903)))
% 191.26/191.47 [10080]~P30(x100803,x100804,x100805,f329(x100806,f654(x100806,x100805,x100804,x100803,x100802,x100801)))+P30(x100803,x100804,x100805,f329(f329(f41(x100802,f916(x100803,a903)),x100801),x100806))+E(x100801,f191(f916(x100802,a903)))
% 191.26/191.47 [10137]P30(x101376,x101375,x101374,f329(f329(f41(x101372,f916(x101376,a903)),x101371),x101373))+E(x101371,f191(f916(x101372,a903)))+P1(f329(f329(f331(x101372),f654(x101373,x101374,x101375,x101376,x101372,x101371)),x101371))
% 191.26/191.47 [10142]P1(f329(f329(f331(x101421),f584(x101422,x101423,x101424,x101425,x101426,x101421)),x101426))+P1(f329(f329(f240(f916(f915(x101421,x101424),a903)),f329(f329(f259(x101421,x101424),x101426),x101423)),f329(f329(f259(x101421,x101424),x101425),x101422)))+~P1(f329(f329(f240(f916(x101421,a903)),x101426),x101425))
% 191.26/191.47 [10178]P29(x101786,x101785,f329(f329(f311(f907(x101786)),f329(f329(f329(f93(x101786),x101781),x101783),x101782)),f191(f916(f907(x101786),a903))))+~P29(x101786,x101785,f329(f329(f311(f907(x101786)),f329(f329(f329(f93(x101786),x101784),x101783),x101782)),f191(f916(f907(x101786),a903))))+P1(f329(f329(x101781,f490(x101781,x101782,x101783,x101784,x101785,x101786)),f501(x101781,x101782,x101783,x101784,x101785,x101786)))
% 191.26/191.47 [10179]P29(x101796,x101795,f329(f329(f311(f907(x101796)),f329(f329(f329(f93(x101796),x101794),x101793),x101792)),f191(f916(f907(x101796),a903))))+~P29(x101796,x101795,f329(f329(f311(f907(x101796)),f329(f329(f329(f93(x101796),x101794),x101793),x101791)),f191(f916(f907(x101796),a903))))+P1(f329(f329(x101791,f517(x101792,x101791,x101793,x101794,x101795,x101796)),f524(x101792,x101791,x101793,x101794,x101795,x101796)))
% 191.26/191.47 [10222]~P29(x102221,x102222,f329(f329(f311(f907(x102221)),f329(f329(f329(f93(x102221),x102223),x102224),x102226)),f191(f916(f907(x102221),a903))))+P29(x102221,x102222,f329(f329(f311(f907(x102221)),f329(f329(f329(f93(x102221),x102223),x102224),x102225)),f191(f916(f907(x102221),a903))))+~P1(f329(f329(x102225,f517(x102225,x102226,x102224,x102223,x102222,x102221)),f524(x102225,x102226,x102224,x102223,x102222,x102221)))
% 191.26/191.47 [10223]~P29(x102231,x102232,f329(f329(f311(f907(x102231)),f329(f329(f329(f93(x102231),x102236),x102234),x102235)),f191(f916(f907(x102231),a903))))+P29(x102231,x102232,f329(f329(f311(f907(x102231)),f329(f329(f329(f93(x102231),x102233),x102234),x102235)),f191(f916(f907(x102231),a903))))+~P1(f329(f329(x102236,f490(x102233,x102235,x102234,x102236,x102232,x102231)),f501(x102233,x102235,x102234,x102236,x102232,x102231)))
% 191.26/191.47 [10265]~P1(f329(f329(f240(f916(x102652,a903)),f329(x102654,f584(x102656,x102654,x102652,x102655,x102653,x102651))),f329(x102656,f584(x102656,x102654,x102652,x102655,x102653,x102651))))+~P1(f329(f329(f240(f916(x102651,a903)),x102653),x102655))+P1(f329(f329(f240(f916(f915(x102651,x102652),a903)),f329(f329(f259(x102651,x102652),x102653),x102654)),f329(f329(f259(x102651,x102652),x102655),x102656)))
% 191.26/191.47 [7878]~P1(f329(x78781,x78785))+~P1(f329(x78786,x78784))+P1(f329(x78781,f329(f261(x78782,x78783),f329(f329(f257(x78782,x78783),x78784),x78785))))
% 191.26/191.47 [7879]~P1(f329(x78791,x78794))+~P1(f329(x78796,x78795))+P1(f329(x78791,f329(f256(x78792,x78793),f329(f329(f257(x78792,x78793),x78794),x78795))))
% 191.26/191.47 [7935]~P1(f329(f329(x79354,x79356),x79355))+~P1(f329(f329(f331(x79351),x79356),x79353))+P1(f329(f329(f329(f40(x79351,f916(x79352,a903)),x79353),x79354),x79355))
% 191.26/191.47 [8251]~P1(f329(f329(f331(x82511),x82512),f329(x82515,x82516)))+~P1(f329(f329(f331(x82513),x82516),x82514))+P1(f329(f329(f331(x82511),x82512),f329(f329(f40(x82513,f916(x82511,a903)),x82514),x82515)))
% 191.26/191.47 [8292]P1(f329(f329(x82921,x82922),x82923))+~P1(f329(f329(x82924,x82922),x82923))+~P1(f329(f329(f240(f916(x82925,f916(x82926,a903))),x82924),x82921))
% 191.26/191.47 [8437]P1(f329(f329(x84371,x84372),x84373))+~P1(f329(f329(f331(x84374),x84372),x84375))+~P1(f329(f329(f329(f41(x84374,f916(x84376,a903)),x84375),x84371),x84373))
% 191.26/191.47 [8572]P1(f329(f329(f331(x85721),x85722),f329(x85723,x85724)))+~P1(f329(f329(f331(x85725),x85724),x85726))+~P1(f329(f329(f331(x85721),x85722),f329(f329(f41(x85725,f916(x85721,a903)),x85726),x85723)))
% 191.26/191.47 [8840]~P16(x88404,x88405,x88406,x88401)+E(f329(x88401,x88402),f329(x88401,x88403))+~P1(f329(f329(f331(f915(x88404,x88404)),f329(f329(f257(x88404,x88404),x88402),x88403)),x88406))
% 191.26/191.47 [8871]P1(f329(f329(f240(f916(x88711,a903)),x88712),f329(x88713,x88714)))+~P1(f329(f329(f331(x88715),x88714),x88716))+~P1(f329(f329(f240(f916(x88711,a903)),x88712),f329(f329(f41(x88715,f916(x88711,a903)),x88716),x88713)))
% 191.26/191.47 [8902]~P62(x89023,x89024,f329(f289(x89024,x89023),x89025))+E(x89021,f191(f916(x89022,a903)))+E(f329(f329(f41(x89022,f916(x89023,a903)),x89021),f329(f329(f8(f916(x89024,a903),f916(x89023,a903),x89022),f288(x89024,x89023,x89025)),x89026)),f329(f288(x89024,x89023,x89025),f329(f329(f41(x89022,f916(x89024,a903)),x89021),x89026)))
% 191.26/191.47 [8976]P1(f329(f329(f331(x89761),x89762),f329(f288(x89763,x89761,x89764),x89765)))+~P1(f329(f329(f331(x89763),x89766),x89765))+~P1(f329(f329(f331(f915(x89763,x89761)),f329(f329(f257(x89763,x89761),x89766),x89762)),x89764))
% 191.26/191.47 [9298]P1(f329(f329(f240(f916(x92981,a903)),f329(f288(x92982,x92981,x92983),x92984)),f329(f288(x92982,x92981,x92985),x92986)))+~P1(f329(f329(f240(f916(x92982,a903)),x92984),x92986))+~P1(f329(f329(f240(f916(f915(x92982,x92981),a903)),x92983),x92985))
% 191.26/191.47 [9480]~P1(f329(f329(f331(x94802),x94806),x94804))+~P1(f329(f329(f240(f916(x94801,a903)),x94803),x94805))+P1(f329(f329(f240(f916(f915(x94801,x94802),a903)),f329(f329(f259(x94801,x94802),x94803),f329(f16(f916(x94802,a903),x94801),x94804))),f329(f329(f259(x94801,x94802),x94805),f329(f16(f916(x94802,a903),x94801),x94804))))
% 191.26/191.47 [9492]~P40(x94921,x94922,x94923,x94925,x94926)+P1(f329(f329(f262(x94921,x94922,a903),x94923),x94924))+~P1(f329(f329(f331(f915(x94921,x94922)),x94924),f329(f175(f915(x94921,x94922)),f329(f329(f184(x94921,x94922),x94925),x94926))))
% 191.26/191.47 [9632]~E(x96323,x96325)+P1(f329(f329(f331(f915(f909(x96321),f909(x96321))),f329(f329(f257(f909(x96321),f909(x96321)),f329(f329(f154(x96321),x96322),x96323)),f329(f329(f154(x96321),x96324),x96325))),f160(x96321,x96326)))+~P1(f329(f329(f331(f915(x96321,x96321)),f329(f329(f257(x96321,x96321),x96322),x96324)),x96326))
% 191.26/191.47 [9637]~E(f329(f192(f909(x96371)),x96373),f329(f192(f909(x96371)),x96375))+P1(f329(f329(f331(f915(f909(x96371),f909(x96371))),f329(f329(f257(f909(x96371),f909(x96371)),f329(f329(f154(x96371),x96372),x96373)),f329(f329(f154(x96371),x96374),x96375))),f148(x96371,x96376)))+~P1(f329(f329(f331(f915(x96371,x96371)),f329(f329(f257(x96371,x96371),x96372),x96374)),x96376))
% 191.26/191.47 [9668]P1(f329(f329(f331(f915(x96681,x96681)),f329(f329(f257(x96681,x96681),x96682),x96683)),f329(f329(f186(f915(x96681,x96681),a903),f329(a117,x96684)),x96685)))+~P1(f329(f329(f331(f915(x96681,x96681)),f329(f329(f257(x96681,x96681),x96686),x96683)),x96685))+~P1(f329(f329(f331(f915(x96681,x96681)),f329(f329(f257(x96681,x96681),x96682),x96686)),f329(f329(f186(f915(x96681,x96681),a903),x96684),x96685)))
% 191.26/191.47 [9669]P1(f329(f329(f331(f915(x96691,x96691)),f329(f329(f257(x96691,x96691),x96692),x96693)),f329(f329(f186(f915(x96691,x96691),a903),f329(a117,x96694)),x96695)))+~P1(f329(f329(f331(f915(x96691,x96691)),f329(f329(f257(x96691,x96691),x96692),x96696)),x96695))+~P1(f329(f329(f331(f915(x96691,x96691)),f329(f329(f257(x96691,x96691),x96696),x96693)),f329(f329(f186(f915(x96691,x96691),a903),x96694),x96695)))
% 191.26/191.47 [9672]~P1(f329(f329(f331(x96724),x96725),x96726))+P1(f329(f329(f240(f916(x96721,a903)),x96722),x96723))+~P1(f329(f329(f240(f916(f915(x96721,x96724),a903)),f329(f329(f259(x96721,x96724),x96722),f329(f16(f916(x96724,a903),x96721),x96726))),f329(f329(f259(x96721,x96724),x96723),f329(f16(f916(x96724,a903),x96721),x96726))))
% 191.26/191.47 [9717]E(x97171,x97172)+~P1(f329(f329(f331(f915(f909(x97173),f909(x97173))),f329(f329(f257(f909(x97173),f909(x97173)),f329(f329(f154(x97173),x97171),x97175)),f329(f329(f154(x97173),x97172),x97176))),f148(x97173,x97174)))+P1(f329(f329(f331(f915(x97173,x97173)),f329(f329(f257(x97173,x97173),x97171),x97172)),x97174))
% 191.26/191.47 [9718]E(x97181,x97182)+~P1(f329(f329(f331(f915(f909(x97183),f909(x97183))),f329(f329(f257(f909(x97183),f909(x97183)),f329(f329(f154(x97183),x97181),x97185)),f329(f329(f154(x97183),x97182),x97186))),f150(x97183,x97184)))+P1(f329(f329(f331(f915(x97183,x97183)),f329(f329(f257(x97183,x97183),x97181),x97182)),x97184))
% 191.26/191.47 [9719]E(x97191,x97192)+~P1(f329(f329(f331(f915(f909(x97193),f909(x97193))),f329(f329(f257(f909(x97193),f909(x97193)),f329(f329(f154(x97193),x97191),x97195)),f329(f329(f154(x97193),x97192),x97196))),f160(x97193,x97194)))+P1(f329(f329(f331(f915(x97193,x97193)),f329(f329(f257(x97193,x97193),x97191),x97192)),x97194))
% 191.26/191.47 [9757]P1(f329(f329(f331(f915(f909(x97571),f909(x97571))),f329(f329(f257(f909(x97571),f909(x97571)),f329(f329(f154(x97571),x97572),x97573)),f329(f329(f154(x97571),x97574),x97575))),f161(x97571,x97576)))+~P1(f329(f329(f331(f915(f909(x97571),f909(x97571))),f329(f329(f257(f909(x97571),f909(x97571)),x97573),x97575)),f161(x97571,x97576)))+~P1(f329(f329(f331(f915(x97571,x97571)),f329(f329(f257(x97571,x97571),x97572),x97574)),x97576))
% 191.26/191.47 [9774]P1(f329(x97741,x97742))+~P1(f329(x97741,f467(x97741,x97743,x97744,x97745,x97746)))+~P1(f329(f329(f331(x97746),x97742),f329(f329(f40(x97745,f916(x97746,a903)),x97744),x97743)))
% 191.26/191.47 [9779]~P1(f329(f329(f331(f915(f909(x97791),f909(x97791))),f329(f329(f257(f909(x97791),f909(x97791)),f329(f329(f154(x97791),x97792),x97795)),f329(f329(f154(x97791),x97793),x97796))),f148(x97791,x97794)))+P1(f329(f329(f331(f915(f909(x97791),f909(x97791))),f329(f329(f257(f909(x97791),f909(x97791)),x97795),x97796)),f148(x97791,x97794)))+P1(f329(f329(f331(f915(x97791,x97791)),f329(f329(f257(x97791,x97791),x97792),x97793)),x97794))
% 191.26/191.47 [9780]~P1(f329(f329(f331(f915(f909(x97801),f909(x97801))),f329(f329(f257(f909(x97801),f909(x97801)),f329(f329(f154(x97801),x97802),x97805)),f329(f329(f154(x97801),x97803),x97806))),f150(x97801,x97804)))+P1(f329(f329(f331(f915(f909(x97801),f909(x97801))),f329(f329(f257(f909(x97801),f909(x97801)),x97805),x97806)),f150(x97801,x97804)))+P1(f329(f329(f331(f915(x97801,x97801)),f329(f329(f257(x97801,x97801),x97802),x97803)),x97804))
% 191.26/191.47 [9781]~P1(f329(f329(f331(f915(f909(x97811),f909(x97811))),f329(f329(f257(f909(x97811),f909(x97811)),f329(f329(f154(x97811),x97812),x97815)),f329(f329(f154(x97811),x97813),x97816))),f160(x97811,x97814)))+P1(f329(f329(f331(f915(f909(x97811),f909(x97811))),f329(f329(f257(f909(x97811),f909(x97811)),x97815),x97816)),f160(x97811,x97814)))+P1(f329(f329(f331(f915(x97811,x97811)),f329(f329(f257(x97811,x97811),x97812),x97813)),x97814))
% 191.26/191.47 [9868]P1(f329(x98681,x98682))+P1(f329(f329(f331(x98683),f468(x98681,x98684,x98685,x98683,x98686)),x98685))+~P1(f329(f329(f331(x98686),x98682),f329(f329(f40(x98683,f916(x98686,a903)),x98685),x98684)))
% 191.26/191.47 [9879]~E(x98792,x98794)+P1(f329(f329(f331(f915(f909(x98791),f909(x98791))),f329(f329(f257(f909(x98791),f909(x98791)),f329(f329(f137(x98791),x98792),f329(f329(f154(x98791),x98793),f118(x98791)))),f329(f329(f137(x98791),x98794),f329(f329(f154(x98791),x98795),f118(x98791))))),f160(x98791,x98796)))+~P1(f329(f329(f331(f915(x98791,x98791)),f329(f329(f257(x98791,x98791),x98793),x98795)),x98796))
% 191.26/191.47 [9957]E(x99571,x99572)+~P1(f329(f329(f331(f915(f909(x99573),f909(x99573))),f329(f329(f257(f909(x99573),f909(x99573)),f329(f329(f137(x99573),x99575),f329(f329(f154(x99573),x99571),f118(x99573)))),f329(f329(f137(x99573),x99576),f329(f329(f154(x99573),x99572),f118(x99573))))),f160(x99573,x99574)))+P1(f329(f329(f331(f915(x99573,x99573)),f329(f329(f257(x99573,x99573),x99571),x99572)),x99574))
% 191.26/191.47 [9986]~P1(f329(f329(f331(f915(f909(x99861),f909(x99861))),f329(f329(f257(f909(x99861),f909(x99861)),f329(f329(f137(x99861),x99865),f329(f329(f154(x99861),x99862),f118(x99861)))),f329(f329(f137(x99861),x99866),f329(f329(f154(x99861),x99863),f118(x99861))))),f160(x99861,x99864)))+P1(f329(f329(f331(f915(f909(x99861),f909(x99861))),f329(f329(f257(f909(x99861),f909(x99861)),x99865),x99866)),f160(x99861,x99864)))+P1(f329(f329(f331(f915(x99861,x99861)),f329(f329(f257(x99861,x99861),x99862),x99863)),x99864))
% 191.26/191.47 [10004]P1(f329(x100041,x100042))+P1(f329(f329(f331(x100043),f467(x100041,x100044,x100045,x100046,x100043)),f329(x100044,f468(x100041,x100044,x100045,x100046,x100043))))+~P1(f329(f329(f331(x100043),x100042),f329(f329(f40(x100046,f916(x100043,a903)),x100045),x100044)))
% 191.26/191.47 [8997]~P21(x89973,x89974,x89971)+~P1(f329(f62(x89973),x89976))+E(f329(f329(x89971,x89972),f329(f329(f65(x89973,x89974,x89971),x89975),f329(f329(f23(f916(x89973,a903)),x89976),f329(f329(f311(x89973),x89972),f191(f916(x89973,a903)))))),f329(f329(f65(x89973,x89974,x89971),x89975),f329(f329(f311(x89973),x89972),x89976)))
% 191.26/191.47 [9307]~P1(f329(f329(f331(x93075),x93073),x93076))+P1(f329(f329(f240(f916(x93071,a903)),f329(x93072,x93073)),x93074))+~P1(f329(f329(f240(f916(x93071,a903)),f329(f329(f40(x93075,f916(x93071,a903)),x93076),x93072)),x93074))
% 191.26/191.47 [9931]~P13(x99311,x99315,x99314)+P1(f329(f329(f331(f915(x99311,x99311)),f329(f329(f257(x99311,x99311),x99312),x99313)),x99314))+~P1(f329(f329(f331(x99311),x99316),f329(f329(f106(f916(x99311,a903)),f329(f288(x99311,x99311,x99314),f329(f329(f311(x99311),x99312),f191(f916(x99311,a903))))),f329(f288(x99311,x99311,x99314),f329(f329(f311(x99311),x99313),f191(f916(x99311,a903)))))))
% 191.26/191.47 [8737]~P130(x87372)+~E(f329(f329(f82(x87372),f329(f329(f83(x87372),x87374),x87375)),x87371),f329(f329(f82(x87372),f329(f329(f83(x87372),x87373),x87375)),x87376))+E(x87371,f329(f329(f82(x87372),f329(f329(f83(x87372),f329(f329(f23(x87372),x87373),x87374)),x87375)),x87376))
% 191.26/191.47 [8738]~P130(x87381)+~E(f329(f329(f82(x87381),f329(f329(f83(x87381),x87382),x87384)),x87385),f329(f329(f82(x87381),f329(f329(f83(x87381),x87383),x87384)),x87386))+E(f329(f329(f82(x87381),f329(f329(f83(x87381),f329(f329(f23(x87381),x87382),x87383)),x87384)),x87385),x87386)
% 191.26/191.47 [8905]~P130(x89051)+E(f329(f329(f82(x89051),f329(f329(f83(x89051),x89052),x89053)),x89054),f329(f329(f82(x89051),f329(f329(f83(x89051),x89055),x89053)),x89056))+~E(x89056,f329(f329(f82(x89051),f329(f329(f83(x89051),f329(f329(f23(x89051),x89052),x89055)),x89053)),x89054))
% 191.26/191.47 [8906]~P130(x89061)+E(f329(f329(f82(x89061),f329(f329(f83(x89061),x89062),x89063)),x89064),f329(f329(f82(x89061),f329(f329(f83(x89061),x89065),x89063)),x89066))+~E(f329(f329(f82(x89061),f329(f329(f83(x89061),f329(f329(f23(x89061),x89062),x89065)),x89063)),x89064),x89066)
% 191.26/191.47 [9235]~P1(f329(f329(x92354,x92355),x92356))+~P1(f329(f329(x92353,x92355),x92356))+P1(f329(f329(f329(f329(f106(f916(x92351,f916(x92352,a903))),x92353),x92354),x92355),x92356))
% 191.26/191.47 [9500]P1(f329(f329(x95001,x95002),x95003))+P1(f329(f329(x95004,x95002),x95003))+~P1(f329(f329(f329(f329(f115(f916(x95005,f916(x95006,a903))),x95004),x95001),x95002),x95003))
% 191.26/191.47 [9794]~P138(x97941)+~P1(f329(f329(f240(x97941),f329(f329(f82(x97941),f329(f329(f83(x97941),x97944),x97945)),x97942)),f329(f329(f82(x97941),f329(f329(f83(x97941),x97943),x97945)),x97946)))+P1(f329(f329(f240(x97941),x97942),f329(f329(f82(x97941),f329(f329(f83(x97941),f329(f329(f23(x97941),x97943),x97944)),x97945)),x97946)))
% 191.26/191.47 [9795]~P138(x97951)+~P1(f329(f329(f241(x97951),f329(f329(f82(x97951),f329(f329(f83(x97951),x97954),x97955)),x97952)),f329(f329(f82(x97951),f329(f329(f83(x97951),x97953),x97955)),x97956)))+P1(f329(f329(f241(x97951),x97952),f329(f329(f82(x97951),f329(f329(f83(x97951),f329(f329(f23(x97951),x97953),x97954)),x97955)),x97956)))
% 191.26/191.47 [9818]~P138(x98181)+P1(f329(f329(f240(x98181),f329(f329(f82(x98181),f329(f329(f83(x98181),x98182),x98183)),x98184)),f329(f329(f82(x98181),f329(f329(f83(x98181),x98185),x98183)),x98186)))+~P1(f329(f329(f240(x98181),x98184),f329(f329(f82(x98181),f329(f329(f83(x98181),f329(f329(f23(x98181),x98185),x98182)),x98183)),x98186)))
% 191.26/191.47 [9819]~P138(x98191)+P1(f329(f329(f241(x98191),f329(f329(f82(x98191),f329(f329(f83(x98191),x98192),x98193)),x98194)),f329(f329(f82(x98191),f329(f329(f83(x98191),x98195),x98193)),x98196)))+~P1(f329(f329(f241(x98191),x98194),f329(f329(f82(x98191),f329(f329(f83(x98191),f329(f329(f23(x98191),x98195),x98192)),x98193)),x98196)))
% 191.26/191.47 [9923]~P138(x99231)+~P1(f329(f329(f240(x99231),f329(f329(f82(x99231),f329(f329(f83(x99231),x99232),x99234)),x99235)),f329(f329(f82(x99231),f329(f329(f83(x99231),x99233),x99234)),x99236)))+P1(f329(f329(f240(x99231),f329(f329(f82(x99231),f329(f329(f83(x99231),f329(f329(f23(x99231),x99232),x99233)),x99234)),x99235)),x99236))
% 191.26/191.47 [9924]~P138(x99241)+~P1(f329(f329(f241(x99241),f329(f329(f82(x99241),f329(f329(f83(x99241),x99242),x99244)),x99245)),f329(f329(f82(x99241),f329(f329(f83(x99241),x99243),x99244)),x99246)))+P1(f329(f329(f241(x99241),f329(f329(f82(x99241),f329(f329(f83(x99241),f329(f329(f23(x99241),x99242),x99243)),x99244)),x99245)),x99246))
% 191.26/191.47 [9969]~P138(x99691)+P1(f329(f329(f240(x99691),f329(f329(f82(x99691),f329(f329(f83(x99691),x99692),x99693)),x99694)),f329(f329(f82(x99691),f329(f329(f83(x99691),x99695),x99693)),x99696)))+~P1(f329(f329(f240(x99691),f329(f329(f82(x99691),f329(f329(f83(x99691),f329(f329(f23(x99691),x99692),x99695)),x99693)),x99694)),x99696))
% 191.26/191.47 [9970]~P138(x99701)+P1(f329(f329(f241(x99701),f329(f329(f82(x99701),f329(f329(f83(x99701),x99702),x99703)),x99704)),f329(f329(f82(x99701),f329(f329(f83(x99701),x99705),x99703)),x99706)))+~P1(f329(f329(f241(x99701),f329(f329(f82(x99701),f329(f329(f83(x99701),f329(f329(f23(x99701),x99702),x99705)),x99703)),x99704)),x99706))
% 191.26/191.47 [10131]~P5(x101312)+~P1(f329(f62(x101311),x101316))+E(f329(f329(f6(x101311,x101312),f329(f329(f18(x101311,x101312,x101312),f329(f329(f18(x101311,x101312,f916(x101312,x101312)),f329(f329(f8(a903,f916(x101312,f916(x101312,x101312)),x101311),f99(x101312)),x101313)),x101314)),x101315)),x101316),f329(f329(f82(x101312),f329(f329(f6(x101311,x101312),x101314),f329(f329(f106(f916(x101311,a903)),x101316),f329(f267(x101311),x101313)))),f329(f329(f6(x101311,x101312),x101315),f329(f329(f106(f916(x101311,a903)),x101316),f329(f81(f916(x101311,a903)),f329(f267(x101311),x101313))))))
% 191.26/191.47 [10189]P1(f329(f329(f331(x101892),x101894),x101896))+P1(f329(f329(f331(x101892),x101895),x101896))+E(f329(f313(x101891,x101892,f329(f329(f7(x101891,x101892,x101892),f329(f329(f7(x101891,x101892,f916(x101892,x101892)),f329(f329(f8(a903,f916(x101892,f916(x101892,x101892)),x101891),f99(x101892)),f329(f329(f7(x101891,f916(x101891,a903),a903),f331(x101891)),x101893))),x101894)),x101895)),x101896),f191(f916(x101891,a903)))
% 191.26/191.47 [10190]P1(f329(f329(f331(x101902),x101905),x101906))+~P1(f329(f329(f331(x101902),x101904),x101906))+E(f329(f313(x101901,x101902,f329(f329(f7(x101901,x101902,x101902),f329(f329(f7(x101901,x101902,f916(x101902,x101902)),f329(f329(f8(a903,f916(x101902,f916(x101902,x101902)),x101901),f99(x101902)),f329(f329(f7(x101901,f916(x101901,a903),a903),f331(x101901)),x101903))),x101904)),x101905)),x101906),x101903)
% 191.26/191.47 [10191]P1(f329(f329(f331(x101912),x101914),x101916))+~P1(f329(f329(f331(x101912),x101915),x101916))+E(f329(f313(x101911,x101912,f329(f329(f7(x101911,x101912,x101912),f329(f329(f7(x101911,x101912,f916(x101912,x101912)),f329(f329(f8(a903,f916(x101912,f916(x101912,x101912)),x101911),f99(x101912)),f329(f329(f7(x101911,f916(x101911,a903),a903),f331(x101911)),x101913))),x101914)),x101915)),x101916),f329(f81(f916(x101911,a903)),x101913))
% 191.26/191.47 [10192]~P1(f329(f329(f331(x101922),x101924),x101926))+~P1(f329(f329(f331(x101922),x101925),x101926))+E(f329(f313(x101921,x101922,f329(f329(f7(x101921,x101922,x101922),f329(f329(f7(x101921,x101922,f916(x101922,x101922)),f329(f329(f8(a903,f916(x101922,f916(x101922,x101922)),x101921),f99(x101922)),f329(f329(f7(x101921,f916(x101921,a903),a903),f331(x101921)),x101923))),x101924)),x101925)),x101926),f247(f916(x101921,a903)))
% 191.26/191.47 [10346]P29(x103461,x103462,f329(f329(f311(f907(x103461)),f329(f329(f329(f93(x103461),f329(x103463,x103464)),f329(a26,x103464)),f329(x103465,x103464))),f191(f916(f907(x103461),a903))))+~P1(f329(f329(f331(a906),x103464),x103466))+~P29(x103461,f329(f329(f115(f916(f907(x103461),a903)),x103462),f329(f312(a906,f907(x103461),f329(f329(f18(a906,f916(x103461,f916(a905,a903)),f907(x103461)),f329(f329(f18(a906,a904,f916(f916(x103461,f916(a905,a903)),f907(x103461))),f329(f329(f8(f916(x103461,f916(a905,a903)),f916(a904,f916(f916(x103461,f916(a905,a903)),f907(x103461))),a906),f93(x103461)),x103463)),a26)),x103465)),x103466)),f329(f312(a906,f907(x103461),f329(f329(f18(a906,f916(x103461,f916(a905,a903)),f907(x103461)),f329(f329(f18(a906,a904,f916(f916(x103461,f916(a905,a903)),f907(x103461))),f329(f329(f8(f916(x103461,f916(a905,a903)),f916(a904,f916(f916(x103461,f916(a905,a903)),f907(x103461))),a906),f93(x103461)),x103463)),f329(f329(f8(f912(a904),a904,a906),f236(a904)),a27))),x103465)),x103466))
% 191.26/191.47 [8767]E(x87671,x87672)+~P64(x87674,x87675,x87673,x87676,x87677)+~E(f329(x87673,x87671),f329(x87673,x87672))
% 191.26/191.47 [8796]~P15(x87966,x87965,x87967,x87964,x87961)+E(f329(f329(x87961,x87962),x87963),x87964)+P1(f329(f62(x87965),x87963))
% 191.26/191.47 [9659]P50(x96591,x96592,x96593,x96594,x96595,f329(f329(x96593,x96596),x96597))+~E(f329(f329(x96593,x96596),x96597),x96594)+~E(x96595,f191(f916(x96591,a903)))
% 191.26/191.47 [9841]~P1(f329(x98416,x98413))+~P1(f329(f329(f331(f915(x98412,x98412)),f329(f329(f257(x98412,x98412),x98414),x98415)),f329(x98417,x98413)))+P1(f329(f329(f331(f915(f915(x98411,x98412),f915(x98411,x98412))),f329(f329(f257(f915(x98411,x98412),f915(x98411,x98412)),f329(f329(f257(x98411,x98412),x98413),x98414)),f329(f329(f257(x98411,x98412),x98413),x98415))),f283(x98411,x98412,x98416,x98417)))
% 191.26/191.47 [10255]~P50(x102552,x102557,x102553,x102556,x102551,f329(f329(x102553,x102555),x102554))+E(f329(f329(x102553,f884(x102554,x102555,x102551,x102556,x102553,x102557,x102552)),f885(x102554,x102555,x102551,x102556,x102553,x102557,x102552)),f329(f329(x102553,x102555),x102554))+E(x102551,f191(f916(x102552,a903)))
% 191.26/191.47 [10256]~P50(x102567,x102566,x102561,x102564,x102565,f329(f329(x102561,x102562),x102563))+E(f329(f329(x102561,f884(x102563,x102562,x102565,x102564,x102561,x102566,x102567)),f885(x102563,x102562,x102565,x102564,x102561,x102566,x102567)),f329(f329(x102561,x102562),x102563))+E(f329(f329(x102561,x102562),x102563),x102564)
% 191.26/191.47 [9342]~P40(x93421,x93422,x93423,x93425,x93427)+P40(x93421,x93422,x93423,f329(f329(f154(x93421),x93424),x93425),f329(f329(f154(x93422),x93426),x93427))+~P1(f329(f329(x93423,x93424),x93426))
% 191.26/191.47 [9357]P40(x93571,x93572,x93573,x93574,x93575)+~P40(x93571,x93572,x93573,f329(f329(f137(x93571),x93576),x93574),f329(f329(f137(x93572),x93577),x93575))+~E(f329(f192(f909(x93571)),x93576),f329(f192(f909(x93572)),x93577))
% 191.26/191.47 [9358]P40(x93581,x93582,x93583,x93584,x93585)+~P40(x93581,x93582,x93583,f329(f329(f137(x93581),x93584),x93586),f329(f329(f137(x93582),x93585),x93587))+~E(f329(f192(f909(x93581)),x93584),f329(f192(f909(x93582)),x93585))
% 191.26/191.47 [9565]~P40(x95651,x95652,x95653,x95655,x95657)+~P40(x95651,x95652,x95653,x95654,x95656)+P40(x95651,x95652,x95653,f329(f329(f137(x95651),x95654),x95655),f329(f329(f137(x95652),x95656),x95657))
% 191.26/191.47 [9914]~P1(f329(f67(x99141,x99144,x99145,x99146,x99143),x99147))+P1(f329(f67(x99141,x99144,x99145,x99146,f329(f329(f311(x99141),x99142),x99143)),f329(f329(x99145,x99142),x99147)))+P1(f329(f329(f331(x99141),x99142),x99143))
% 191.26/191.47 [10280]~P50(x102802,x102807,x102806,x102805,x102801,f329(f329(x102806,x102804),x102803))+E(x102801,f191(f916(x102802,a903)))+P1(f329(f329(f331(x102802),f884(x102803,x102804,x102801,x102805,x102806,x102807,x102802)),x102801))
% 191.26/191.47 [10281]~P50(x102815,x102817,x102811,x102814,x102816,f329(f329(x102811,x102812),x102813))+E(f329(f329(x102811,x102812),x102813),x102814)+P1(f329(f329(f331(x102815),f884(x102813,x102812,x102816,x102814,x102811,x102817,x102815)),x102816))
% 191.26/191.47 [9023]~P26(x90234,x90235,x90236,x90237,x90231)+~P1(f329(f62(x90235),x90233))+E(f329(f329(x90231,x90232),x90233),f329(f329(f329(f66(x90234,x90235,x90236),x90232),x90237),x90233))
% 191.26/191.47 [9024]~P15(x90244,x90245,x90246,x90247,x90241)+~P1(f329(f62(x90245),x90243))+E(f329(f329(x90241,x90242),x90243),f329(f329(f329(f66(x90244,x90245,x90246),x90242),x90247),x90243))
% 191.26/191.47 [9625]~P29(x96251,x96252,f329(f329(f311(f907(x96251)),f329(f329(f329(f93(x96251),x96253),x96254),x96257)),f191(f916(f907(x96251),a903))))+P29(x96251,x96252,f329(f329(f311(f907(x96251)),f329(f329(f329(f93(x96251),x96253),f32(x96254,x96255)),x96256)),f191(f916(f907(x96251),a903))))+~P29(x96251,x96252,f329(f329(f311(f907(x96251)),f329(f329(f329(f93(x96251),x96257),x96255),x96256)),f191(f916(f907(x96251),a903))))
% 191.26/191.47 [9813]~P28(x98133,x98134,x98135,x98137,x98136,x98131)+~P1(f329(f62(x98134),x98132))+E(f329(x98131,x98132),f329(f329(f329(f66(x98133,x98134,x98135),x98136),x98137),x98132))
% 191.26/191.47 [9964]P50(x99641,x99642,x99643,x99644,x99645,f329(f329(x99643,x99646),x99647))+~P50(x99641,x99642,x99643,x99644,f329(f329(f23(f916(x99641,a903)),x99645),f329(f329(f311(x99641),x99646),f191(f916(x99641,a903)))),x99647)+~P1(f329(f329(f331(x99641),x99646),x99645))
% 191.26/191.47 [10224]~P29(x102241,x102242,f329(f329(f311(f907(x102241)),f329(f329(f329(f93(x102241),f95(x102241,x102243,x102244)),x102245),x102247)),f191(f916(f907(x102241),a903))))+P29(x102241,x102242,f329(f329(f311(f907(x102241)),f329(f329(f329(f93(x102241),x102243),f29(x102244,x102245,x102246)),x102247)),f191(f916(f907(x102241),a903))))+~P29(x102241,x102242,f329(f329(f311(f907(x102241)),f329(f329(f329(f93(x102241),f95(x102241,x102243,f329(f74(a903,a903,a905,a324),x102244))),x102246),x102247)),f191(f916(f907(x102241),a903))))
% 191.26/191.47 [10303]P1(f329(f329(x103037,f815(x103034,x103035,x103031,x103036,x103033,x103032,x103037)),f816(x103034,x103035,x103031,x103036,x103033,x103032,x103037)))+~P1(f329(f329(x103037,f329(f261(x103032,x103033),x103036)),f329(f256(x103032,x103033),x103036)))+P1(f329(x103031,f329(f329(f262(x103032,x103033,x103034),x103035),x103036)))
% 191.26/191.47 [10313]~P50(x103132,x103133,x103134,x103135,x103131,f329(f329(x103134,x103137),x103136))+P50(x103132,x103133,x103134,x103135,f329(f329(f23(f916(x103132,a903)),x103131),f329(f329(f311(x103132),f884(x103136,x103137,x103131,x103135,x103134,x103133,x103132)),f191(f916(x103132,a903)))),f885(x103136,x103137,x103131,x103135,x103134,x103133,x103132))+E(x103131,f191(f916(x103132,a903)))
% 191.26/191.47 [10314]~P50(x103145,x103146,x103141,x103144,x103147,f329(f329(x103141,x103142),x103143))+P50(x103145,x103146,x103141,x103144,f329(f329(f23(f916(x103145,a903)),x103147),f329(f329(f311(x103145),f884(x103143,x103142,x103147,x103144,x103141,x103146,x103145)),f191(f916(x103145,a903)))),f885(x103143,x103142,x103147,x103144,x103141,x103146,x103145))+E(f329(f329(x103141,x103142),x103143),x103144)
% 191.26/191.47 [10338]~P1(f329(x103381,f329(f329(x103385,f816(x103384,x103385,x103381,x103386,x103383,x103382,x103387)),f815(x103384,x103385,x103381,x103386,x103383,x103382,x103387))))+~P1(f329(f329(x103387,f329(f261(x103382,x103383),x103386)),f329(f256(x103382,x103383),x103386)))+P1(f329(x103381,f329(f329(f262(x103382,x103383,x103384),x103385),x103386)))
% 191.26/191.47 [9645]P1(f329(f329(f240(f916(f915(x96451,x96452),a903)),f329(f329(f291(x96451,x96453,x96452),x96454),x96455)),f329(f329(f291(x96451,x96453,x96452),x96456),x96457)))+~P1(f329(f329(f240(f916(f915(x96453,x96452),a903)),x96455),x96457))+~P1(f329(f329(f240(f916(f915(x96451,x96453),a903)),x96454),x96456))
% 191.26/191.47 [9975]~P1(f329(f329(f331(x99751),x99756),x99755))+P1(f329(f67(x99751,x99752,x99753,x99754,x99755),f329(f329(x99753,x99756),x99757)))+~P1(f329(f67(x99751,x99752,x99753,x99754,f329(f329(f23(f916(x99751,a903)),x99755),f329(f329(f311(x99751),x99756),f191(f916(x99751,a903))))),x99757))
% 191.26/191.47 [10374]~P145(x103741)+~P30(f915(x103742,x103743),x103741,f329(f262(x103742,x103743,x103741),f329(f329(f7(x103742,f916(x103743,x103741),f916(x103743,x103741)),f329(f329(f8(f916(x103741,x103741),f916(f916(x103743,x103741),f916(x103743,x103741)),x103742),f8(x103741,x103741,x103743)),f329(f329(f8(x103741,f916(x103741,x103741),x103742),f83(x103741)),x103744))),x103745)),f329(f329(f259(x103742,x103743),x103746),f329(f16(f916(x103743,a903),x103742),x103747)))+E(f329(f329(f6(x103741,x103741),f33(x103741)),f329(f267(x103741),f329(f329(f8(f916(x103742,a903),a903,x103741),f89(x103742)),f329(f329(f8(f916(x103742,f916(x103743,a903)),f916(x103742,a903),x103741),f329(f8(f916(x103743,a903),a903,x103742),f89(x103743))),f329(f329(f7(x103741,f916(x103742,f916(x103743,a903)),f916(x103742,f916(x103743,a903))),f329(f329(f8(f916(x103742,f916(f916(x103743,a903),f916(x103743,a903))),f916(f916(x103742,f916(x103743,a903)),f916(x103742,f916(x103743,a903))),x103741),f18(x103742,f916(x103743,a903),f916(x103743,a903))),f329(f329(f8(f916(x103742,f916(x103743,f916(a903,a903))),f916(x103742,f916(f916(x103743,a903),f916(x103743,a903))),x103741),f329(f8(f916(x103743,f916(a903,a903)),f916(f916(x103743,a903),f916(x103743,a903)),x103742),f18(x103743,a903,a903))),f329(f329(f8(f916(x103742,f916(x103743,a903)),f916(x103742,f916(x103743,f916(a903,a903))),x103741),f329(f8(f916(x103743,a903),f916(x103743,f916(a903,a903)),x103742),f329(f8(a903,f916(a903,a903),x103743),a327))),f329(f329(f7(x103741,f916(x103742,f916(x103743,x103741)),f916(x103742,f916(x103743,a903))),f329(f329(f8(f916(f916(x103743,x103741),f916(x103743,a903)),f916(f916(x103742,f916(x103743,x103741)),f916(x103742,f916(x103743,a903))),x103741),f8(f916(x103743,x103741),f916(x103743,a903),x103742)),f329(f329(f8(f916(x103741,a903),f916(f916(x103743,x103741),f916(x103743,a903)),x103741),f8(x103741,a903,x103743)),a326))),f329(f329(f7(x103742,f916(x103743,x103741),f916(x103743,x103741)),f329(f329(f8(f916(x103741,x103741),f916(f916(x103743,x103741),f916(x103743,x103741)),x103742),f8(x103741,x103741,x103743)),f329(f329(f8(x103741,f916(x103741,x103741),x103742),f83(x103741)),x103744))),x103745)))))),f329(f329(f7(x103742,f916(x103743,a903),f916(x103743,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x103743,a903),f916(x103743,a903)),x103742),f8(a903,a903,x103743)),f329(f329(f8(a903,f916(a903,a903),x103742),a327),f329(f329(f7(x103742,f916(x103742,a903),a903),f331(x103742)),x103746)))),f329(f329(f7(x103743,f916(x103743,a903),a903),f331(x103743)),x103747))))))),f329(f329(f83(x103741),f329(f329(f6(x103742,x103741),x103744),x103746)),f329(f329(f6(x103743,x103741),x103745),x103747)))
% 191.26/191.47 [9649]~P31(x96491,x96493,x96495,x96496,x96498)+~P31(x96493,x96492,x96494,x96498,x96497)+P31(x96491,x96492,f329(f74(x96493,x96492,x96491,x96494),x96495),x96496,x96497)
% 191.26/191.47 [9677]P31(x96771,x96772,x96773,x96774,x96775)+~P31(x96776,x96771,x96777,x96778,x96774)+~P31(x96776,x96772,f329(f74(x96771,x96772,x96776,x96773),x96777),x96778,x96775)
% 191.26/191.47 [9811]~P1(f329(f329(x98114,x98116),x98118))+~P1(f329(f329(x98115,x98118),x98117))+P1(f329(f329(f258(x98111,x98112,x98113,x98114,x98115),x98116),x98117))
% 191.26/191.47 [9407]~P24(x94078,x94071,x94073,x94075)+~P1(f329(f62(x94078),x94076))+E(f329(f74(x94071,x94071,x94072,f329(x94073,x94074)),f329(f74(x94071,x94071,x94072,f329(x94075,x94076)),x94077)),f329(f74(x94071,x94071,x94072,f329(x94075,x94076)),f329(f74(x94071,x94071,x94072,f329(x94073,x94074)),x94077)))
% 191.26/191.47 [9801]~P27(x98017,x98012,x98015,x98018,x98016,x98011)+~P1(f329(f62(x98012),x98014))+E(f329(x98011,f329(f329(f311(x98012),x98013),x98014)),f329(f329(x98015,f329(x98016,x98013)),f329(x98011,x98014)))
% 191.26/191.47 [9920]~P30(x99202,x99204,x99206,x99208)+~P30(x99201,x99203,x99205,x99207)+P30(f915(x99201,x99202),f915(x99203,x99204),f263(x99201,x99203,x99202,x99204,x99205,x99206),f329(f329(f259(x99201,x99202),x99207),f329(f16(f916(x99202,a903),x99201),x99208)))
% 191.26/191.47 [9592]P1(f329(f329(f331(f915(x95921,x95922)),f329(f329(f257(x95921,x95922),x95923),x95924)),f329(f329(f291(x95921,x95925,x95922),x95926),x95927)))+~P1(f329(f329(f331(f915(x95921,x95925)),f329(f329(f257(x95921,x95925),x95923),x95928)),x95926))+~P1(f329(f329(f331(f915(x95925,x95922)),f329(f329(f257(x95925,x95922),x95928),x95924)),x95927))
% 191.26/191.47 [9782]~P1(f329(f329(f240(f916(f915(x97823,x97822),a903)),x97825),f329(f329(f259(x97823,x97822),x97828),f329(f16(f916(x97822,a903),x97823),x97827))))+~P1(f329(f329(f240(f916(f915(x97821,x97823),a903)),x97824),f329(f329(f259(x97821,x97823),x97826),f329(f16(f916(x97823,a903),x97821),x97828))))+P1(f329(f329(f240(f916(f915(x97821,x97822),a903)),f329(f329(f291(x97821,x97823,x97822),x97824),x97825)),f329(f329(f259(x97821,x97822),x97826),f329(f16(f916(x97822,a903),x97821),x97827))))
% 191.26/191.47 [9835]~E(x98353,x98355)+P1(f329(f329(f331(f915(f915(x98351,x98352),f915(x98351,x98352))),f329(f329(f257(f915(x98351,x98352),f915(x98351,x98352)),f329(f329(f257(x98351,x98352),x98353),x98354)),f329(f329(f257(x98351,x98352),x98355),x98356))),f321(x98351,x98352,x98357,x98358)))+~P1(f329(f329(f331(f915(x98352,x98352)),f329(f329(f257(x98352,x98352),x98354),x98356)),x98358))
% 191.26/191.47 [9940]E(x99401,x99402)+~P1(f329(f329(f331(f915(f915(x99403,x99405),f915(x99403,x99405))),f329(f329(f257(f915(x99403,x99405),f915(x99403,x99405)),f329(f329(f257(x99403,x99405),x99401),x99406)),f329(f329(f257(x99403,x99405),x99402),x99407))),f321(x99403,x99405,x99404,x99408)))+P1(f329(f329(f331(f915(x99403,x99403)),f329(f329(f257(x99403,x99403),x99401),x99402)),x99404))
% 191.26/191.47 [9956]~P1(f329(f329(f331(f915(f915(x99561,x99565),f915(x99561,x99565))),f329(f329(f257(f915(x99561,x99565),f915(x99561,x99565)),f329(f329(f257(x99561,x99565),x99562),x99566)),f329(f329(f257(x99561,x99565),x99563),x99567))),f321(x99561,x99565,x99564,x99568)))+P1(f329(f329(f331(f915(x99561,x99561)),f329(f329(f257(x99561,x99561),x99562),x99563)),x99564))+P1(f329(f329(f331(f915(x99565,x99565)),f329(f329(f257(x99565,x99565),x99566),x99567)),x99568))
% 191.26/191.47 [9869]~P28(x98697,x98695,x98691,x98698,x98692,x98694)+~P1(f329(f62(x98695),x98696))+E(f329(f329(x98691,f329(x98692,x98693)),f329(x98694,f329(f329(f23(f916(x98695,a903)),x98696),f329(f329(f311(x98695),x98693),f191(f916(x98695,a903)))))),f329(x98694,f329(f329(f311(x98695),x98693),x98696)))
% 191.26/191.47 [9363]~P1(f329(f329(f329(x93635,x93638),x93636),x93637))+~P1(f329(f329(f331(x93631),x93638),x93634))+P1(f329(f329(f329(f329(f40(x93631,f916(x93632,f916(x93633,a903))),x93634),x93635),x93636),x93637))
% 191.26/191.47 [9576]P1(f329(f329(f329(x95761,x95762),x95763),x95764))+~P1(f329(f329(f331(x95765),x95762),x95766))+~P1(f329(f329(f329(f329(f41(x95765,f916(x95767,f916(x95768,a903))),x95766),x95761),x95763),x95764))
% 191.26/191.47 [9775]~P26(x97753,x97752,x97754,x97758,x97751)+~P1(f329(f62(x97752),x97757))+E(f329(f329(x97751,f329(f329(f18(x97752,x97753,x97753),f329(f329(f8(x97753,f916(x97753,x97753),x97752),x97754),x97755)),x97756)),x97757),f329(f329(x97754,f329(f329(x97751,x97755),x97757)),f329(f329(x97751,x97756),x97757)))
% 191.26/191.47 [10038]~E(f329(f312(x100382,x100384,x100386),x100388),x1003810)+~E(f329(f312(x100381,x100383,x100385),x100387),x100389)+E(f329(f312(f915(x100381,x100382),f915(x100383,x100384),f263(x100381,x100383,x100382,x100384,x100385,x100386)),f329(f329(f259(x100381,x100382),x100387),f329(f16(f916(x100382,a903),x100381),x100388))),f329(f329(f259(x100383,x100384),x100389),f329(f16(f916(x100384,a903),x100383),x1003810)))
% 191.26/191.47 [4982]~P56(x49821,x49822)+~P57(x49821,x49822)+~P58(x49821,x49822)+P12(x49821,x49822)
% 191.26/191.47 [4938]~P112(x49382)+~P18(x49382,x49381)+P18(x49382,f119(x49382,x49381))+E(x49381,f118(x49382))
% 191.26/191.47 [4939]~P112(x49392)+~P18(x49392,x49391)+P18(x49392,f732(x49391,x49392))+E(x49391,f118(x49392))
% 191.26/191.47 [5180]~P10(x51802)+E(f10(x51802,x51801),f39(x51802,x51801))+E(x51801,f191(f916(x51802,a903)))+~P1(f329(f62(x51802),x51801))
% 191.26/191.47 [5181]~P10(x51812)+E(f13(x51812,x51811),f38(x51812,x51811))+E(x51811,f191(f916(x51812,a903)))+~P1(f329(f62(x51812),x51811))
% 191.26/191.47 [5343]~P112(x53432)+~P18(x53432,x53431)+E(x53431,f118(x53432))+E(f329(f329(f154(x53432),f752(x53431,x53432)),f732(x53431,x53432)),x53431)
% 191.26/191.47 [6151]~P2(x61512)+E(x61511,f191(f916(x61512,a903)))+P1(f329(f329(f240(x61512),f10(x61512,x61511)),f13(x61512,x61511)))+~P1(f329(f62(x61512),x61511))
% 191.26/191.47 [6163]~P47(x61632)+~P47(x61631)+E(x61631,x61632)+~E(f329(f312(a1,a908,a109),x61631),f329(f312(a1,a908,a109),x61632))
% 191.26/191.47 [9213]~P121(x92131)+~P1(f329(f329(f331(x92131),x92132),f114(x92131)))+P1(f329(f329(f241(x92131),f329(f329(f82(x92131),f329(f329(f82(x92131),f80(x92131)),x92132)),x92132)),f2(x92131)))+~P1(f329(f329(f241(x92131),x92132),f2(x92131)))
% 191.26/191.47 [9461]~P121(x94611)+~P1(f329(f329(f331(x94611),x94612),f114(x94611)))+~P1(f329(f329(f241(x94611),f329(f329(f82(x94611),f329(f329(f82(x94611),f80(x94611)),x94612)),x94612)),f2(x94611)))+P1(f329(f329(f241(x94611),x94612),f2(x94611)))
% 191.26/191.47 [4997]~P118(x49972)+~P145(x49972)+E(x49971,f2(a908))+E(f329(f329(f249(x49972),f2(x49972)),x49971),f2(x49972))
% 191.26/191.47 [5000]~P118(x50001)+~P145(x50001)+~E(x50002,f2(a908))+E(f329(f329(f249(x50001),f2(x50001)),x50002),f80(x50001))
% 191.26/191.47 [5166]~P144(x51662)+E(x51661,f80(x51662))+E(x51661,f329(f81(x51662),f80(x51662)))+~E(f329(f329(f83(x51662),x51661),x51661),f80(x51662))
% 191.26/191.47 [5424]~P93(x54242)+E(x54241,f2(x54242))+E(f84(x54242,x54241),f329(f81(x54242),f80(x54242)))+P1(f329(f329(f241(x54242),f2(x54242)),x54241))
% 191.26/191.47 [5660]~P93(x56602)+E(f84(x56602,x56601),f80(x56602))+E(x56601,f2(x56602))+~P1(f329(f329(f241(x56602),f2(x56602)),x56601))
% 191.26/191.47 [5669]E(x56691,x56692)+~E(f329(f108(a908),x56691),f329(f108(a908),x56692))+P1(f329(a196,f329(f108(a1),x56692)))+P1(f329(a196,f329(f108(a1),x56691)))
% 191.26/191.47 [5720]~P95(x57201)+~E(x57202,f2(x57201))+E(f329(f329(f82(x57201),x57202),x57202),f2(x57201))+~P1(f329(f329(f331(x57201),x57202),f114(x57201)))
% 191.26/191.47 [5760]E(x57601,f2(a1))+~E(f329(f329(f37(a1),x57602),x57601),f2(a1))+P1(f329(f329(f241(a1),x57601),x57602))+P1(f329(f329(f241(a1),x57602),x57601))
% 191.26/191.47 [5790]E(x57901,f2(a1))+~E(f329(f329(f37(a1),x57902),x57901),f2(a1))+P1(f329(f329(f240(a1),x57902),f2(a1)))+P1(f329(f329(f241(a1),x57902),x57901))
% 191.26/191.47 [5824]E(x58241,f2(a1))+~E(f329(f329(f37(a1),x58242),x58241),f2(a1))+P1(f329(f329(f240(a1),f2(a1)),x58242))+P1(f329(f329(f241(a1),x58241),x58242))
% 191.26/191.47 [5858]~P95(x58582)+E(x58581,f2(x58582))+~E(f329(f329(f82(x58582),x58581),x58581),f2(x58582))+~P1(f329(f329(f331(x58582),x58581),f114(x58582)))
% 191.26/191.47 [5919]E(f329(f108(a908),x59191),f329(f108(a908),x59192))+~E(f329(f108(a1),x59192),f2(a1))+P1(f329(a196,f329(f108(a1),x59192)))+~P1(f329(a196,f329(f108(a1),x59191)))
% 191.26/191.47 [5951]~E(f329(f108(a908),x59512),f329(f108(a908),x59511))+E(f329(f108(a1),x59511),f2(a1))+P1(f329(a196,f329(f108(a1),x59511)))+~P1(f329(a196,f329(f108(a1),x59512)))
% 191.26/191.47 [5961]~P112(x59612)+E(x59611,f191(f916(x59612,a903)))+~P1(f329(f62(x59612),x59611))+P1(f329(f329(f331(x59612),f14(x59612,x59611)),x59611))
% 191.26/191.47 [5962]~P112(x59622)+E(x59621,f191(f916(x59622,a903)))+~P1(f329(f62(x59622),x59621))+P1(f329(f329(f331(x59622),f15(x59622,x59621)),x59621))
% 191.26/191.47 [6128]~P121(x61281)+~P97(x61281)+P1(f329(f329(f240(x61281),f2(x61281)),f329(f108(x61281),x61282)))+~P1(f329(f329(f240(a1),a85),x61282))
% 191.26/191.47 [6129]~P121(x61291)+~P97(x61291)+P1(f329(f329(f241(x61291),f2(x61291)),f329(f108(x61291),x61292)))+~P1(f329(f329(f241(a1),a85),x61292))
% 191.26/191.47 [6150]~P121(x61501)+~P97(x61501)+E(f329(f77(x61501),f329(f108(x61501),x61502)),f329(f108(x61501),x61502))+P1(f329(f329(f241(x61501),f329(f108(x61501),x61502)),f2(x61501)))
% 191.26/191.47 [6187]E(x61871,x61872)+~E(f329(a109,x61871),f329(a109,x61872))+~P1(f329(f329(f240(a1),f2(a1)),x61872))+~P1(f329(f329(f240(a1),f2(a1)),x61871))
% 191.26/191.47 [6381]~P97(x63812)+~P121(x63812)+~P1(f329(f329(f240(x63812),f2(x63812)),f329(f108(x63812),x63811)))+P1(f329(f329(f240(a1),a85),x63811))
% 191.26/191.47 [6382]~P97(x63822)+~P121(x63822)+~P1(f329(f329(f241(x63822),f2(x63822)),f329(f108(x63822),x63821)))+P1(f329(f329(f241(a1),a85),x63821))
% 191.26/191.47 [6387]~P121(x63871)+~P97(x63871)+P1(f329(f329(f240(x63871),f329(f108(x63871),x63872)),f2(x63871)))+~P1(f329(f329(f240(a1),x63872),a85))
% 191.26/191.47 [6388]~P121(x63881)+~P97(x63881)+P1(f329(f329(f241(x63881),f329(f108(x63881),x63882)),f2(x63881)))+~P1(f329(f329(f241(a1),x63882),a85))
% 191.26/191.47 [6706]~P97(x67062)+~P121(x67062)+~P1(f329(f329(f240(x67062),f329(f108(x67062),x67061)),f2(x67062)))+P1(f329(f329(f240(a1),x67061),a85))
% 191.26/191.47 [6707]~P97(x67072)+~P121(x67072)+~P1(f329(f329(f241(x67072),f329(f108(x67072),x67071)),f2(x67072)))+P1(f329(f329(f241(a1),x67071),a85))
% 191.26/191.47 [6797]~P121(x67971)+~P97(x67971)+E(f329(f77(x67971),f329(f108(x67971),x67972)),f329(f81(x67971),f329(f108(x67971),x67972)))+~P1(f329(f329(f241(x67971),f329(f108(x67971),x67972)),f2(x67971)))
% 191.26/191.47 [6816]E(f329(f108(a908),x68161),f329(f108(a908),x68162))+~E(f329(f108(a1),x68162),f2(a1))+~P1(f329(f329(f240(a1),f329(f108(a1),x68161)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x68161)))
% 191.26/191.47 [7698]~P112(x76982)+E(x76981,f191(f916(x76982,a903)))+~P1(f329(f62(x76982),x76981))+P1(f329(f329(f240(x76982),f11(x76982,f238(x76982),x76981)),f12(x76982,f239(x76982),x76981)))
% 191.26/191.47 [8023]~P47(x80232)+~P11(x80231)+P1(f329(f329(f331(a1),x80231),x80232))+~P1(f329(f329(f331(a908),f329(a109,x80231)),f329(f312(a1,a908,a109),x80232)))
% 191.26/191.47 [5957]~P120(x59572)+E(x59571,f2(a1))+E(f329(f81(x59572),f329(f107(x59572),f329(f81(a1),x59571))),f329(f107(x59572),x59571))+~P1(f329(f329(f241(a1),x59571),f2(a1)))
% 191.26/191.47 [6030]~P95(x60301)+~P97(x60301)+~P35(x60301,f329(f108(x60301),x60302))+P35(x60301,f329(f108(x60301),f329(f329(f82(a1),x60302),x60302)))
% 191.26/191.47 [6370]~P78(x63702)+E(x63701,f191(f916(x63702,a903)))+E(f15(x63702,f329(f312(x63702,x63702,f81(x63702)),x63701)),f329(f81(x63702),f14(x63702,x63701)))+~P1(f329(f62(x63702),x63701))
% 191.26/191.47 [6371]~P78(x63712)+E(x63711,f191(f916(x63712,a903)))+E(f14(x63712,f329(f312(x63712,x63712,f81(x63712)),x63711)),f329(f81(x63712),f15(x63712,x63711)))+~P1(f329(f62(x63712),x63711))
% 191.26/191.47 [6404]~P95(x64041)+~P97(x64041)+P35(x64041,f329(f108(x64041),x64042))+~P35(x64041,f329(f108(x64041),f329(f329(f82(a1),x64042),x64042)))
% 191.26/191.47 [6494]E(x64941,f2(a1))+E(f329(a52,f51(f329(f81(a1),x64941),f329(f81(a1),x64942))),f47(x64941,x64942))+P1(f329(f329(f240(a1),f2(a1)),x64942))+~P1(f329(f329(f240(a1),f2(a1)),x64941))
% 191.26/191.47 [8818]~P47(x88182)+~P47(x88181)+P1(f329(f329(f241(f916(a908,a903)),f329(f312(a1,a908,a109),x88181)),f329(f312(a1,a908,a109),x88182)))+~P1(f329(f329(f241(f916(a1,a903)),x88181),x88182))
% 191.26/191.47 [9043]~E(f755(x90432,x90431),f756(x90432,x90431))+~P1(f329(f140(x90431),f757(x90432,x90431)))+~P1(f329(f140(f909(x90431)),x90432))+P1(f329(f140(x90431),f329(f145(f909(x90431),f909(x90431),f137(x90431),f118(x90431)),x90432)))
% 191.26/191.47 [9132]~P47(x91322)+~P47(x91321)+~P1(f329(f329(f240(f916(a908,a903)),f329(f312(a1,a908,a109),x91321)),f329(f312(a1,a908,a109),x91322)))+P1(f329(f329(f240(f916(a1,a903)),x91321),x91322))
% 191.26/191.47 [9133]~P47(x91332)+~P47(x91331)+~P1(f329(f329(f241(f916(a908,a903)),f329(f312(a1,a908,a109),x91331)),f329(f312(a1,a908,a109),x91332)))+P1(f329(f329(f241(f916(a1,a903)),x91331),x91332))
% 191.26/191.47 [9139]~E(f755(x91392,x91391),f756(x91392,x91391))+~P1(f329(f140(f909(x91391)),x91392))+P1(f329(f140(x91391),f329(f145(f909(x91391),f909(x91391),f137(x91391),f118(x91391)),x91392)))+P1(f329(f329(f331(f909(x91391)),f757(x91392,x91391)),f329(f175(f909(x91391)),x91392)))
% 191.26/191.47 [9182]~P1(f329(f140(x91821),f757(x91822,x91821)))+~P1(f329(f140(f909(x91821)),x91822))+P1(f329(f140(x91821),f329(f145(f909(x91821),f909(x91821),f137(x91821),f118(x91821)),x91822)))+P1(f329(f329(f331(f909(x91821)),f756(x91822,x91821)),f329(f175(f909(x91821)),x91822)))
% 191.26/191.47 [9183]~P1(f329(f140(x91831),f757(x91832,x91831)))+~P1(f329(f140(f909(x91831)),x91832))+P1(f329(f140(x91831),f329(f145(f909(x91831),f909(x91831),f137(x91831),f118(x91831)),x91832)))+P1(f329(f329(f331(f909(x91831)),f755(x91832,x91831)),f329(f175(f909(x91831)),x91832)))
% 191.26/191.47 [9267]~P1(f329(f140(f909(x92671)),x92672))+P1(f329(f140(x92671),f329(f145(f909(x92671),f909(x92671),f137(x92671),f118(x92671)),x92672)))+P1(f329(f329(f331(f909(x92671)),f756(x92672,x92671)),f329(f175(f909(x92671)),x92672)))+P1(f329(f329(f331(f909(x92671)),f757(x92672,x92671)),f329(f175(f909(x92671)),x92672)))
% 191.26/191.47 [9268]~P1(f329(f140(f909(x92681)),x92682))+P1(f329(f140(x92681),f329(f145(f909(x92681),f909(x92681),f137(x92681),f118(x92681)),x92682)))+P1(f329(f329(f331(f909(x92681)),f755(x92682,x92681)),f329(f175(f909(x92681)),x92682)))+P1(f329(f329(f331(f909(x92681)),f757(x92682,x92681)),f329(f175(f909(x92681)),x92682)))
% 191.26/191.47 [9283]~E(f329(f329(f106(f916(x92831,a903)),f329(f175(x92831),f756(x92832,x92831))),f329(f175(x92831),f755(x92832,x92831))),f191(f916(x92831,a903)))+~P1(f329(f140(x92831),f757(x92832,x92831)))+~P1(f329(f140(f909(x92831)),x92832))+P1(f329(f140(x92831),f329(f145(f909(x92831),f909(x92831),f137(x92831),f118(x92831)),x92832)))
% 191.26/191.47 [9346]~E(f329(f329(f106(f916(x93461,a903)),f329(f175(x93461),f756(x93462,x93461))),f329(f175(x93461),f755(x93462,x93461))),f191(f916(x93461,a903)))+~P1(f329(f140(f909(x93461)),x93462))+P1(f329(f140(x93461),f329(f145(f909(x93461),f909(x93461),f137(x93461),f118(x93461)),x93462)))+P1(f329(f329(f331(f909(x93461)),f757(x93462,x93461)),f329(f175(f909(x93461)),x93462)))
% 191.26/191.47 [9618]E(x96181,f2(a1))+E(x96182,f2(a1))+E(f329(f329(f88(a1,f915(a1,a1)),f329(f329(a221,x96182),x96181)),f329(f329(f18(a1,a1,f915(a1,a1)),f329(f329(f8(a1,f916(a1,f915(a1,a1)),a1),f257(a1,a1)),f329(f37(a1),x96182))),f329(f37(a1),x96181))),f219(x96182,x96181))+P1(f329(f329(f241(a1),x96181),f2(a1)))
% 191.26/191.47 [8359]~P97(x83592)+~P121(x83592)+~P1(f329(f329(f240(x83592),f329(f108(x83592),x83591)),f80(x83592)))+P1(f329(f329(f240(a1),x83591),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 191.26/191.47 [8360]~P97(x83602)+~P121(x83602)+~P1(f329(f329(f241(x83602),f329(f108(x83602),x83601)),f80(x83602)))+P1(f329(f329(f241(a1),x83601),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 191.26/191.47 [8646]~P121(x86461)+~P97(x86461)+P1(f329(f329(f240(x86461),f329(f108(x86461),x86462)),f80(x86461)))+~P1(f329(f329(f240(a1),x86462),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 191.26/191.47 [8647]~P121(x86471)+~P97(x86471)+P1(f329(f329(f241(x86471),f329(f108(x86471),x86472)),f80(x86471)))+~P1(f329(f329(f241(a1),x86472),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 191.26/191.47 [8845]~P97(x88452)+~P121(x88452)+~P1(f329(f329(f240(x88452),f80(x88452)),f329(f108(x88452),x88451)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88451))
% 191.26/191.47 [8846]~P97(x88462)+~P121(x88462)+~P1(f329(f329(f241(x88462),f80(x88462)),f329(f108(x88462),x88461)))+P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88461))
% 191.26/191.47 [9219]~P121(x92191)+~P97(x92191)+P1(f329(f329(f240(x92191),f80(x92191)),f329(f108(x92191),x92192)))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92192))
% 191.26/191.47 [9220]~P121(x92201)+~P97(x92201)+P1(f329(f329(f241(x92201),f80(x92201)),f329(f108(x92201),x92202)))+~P1(f329(f329(f241(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92202))
% 191.26/191.47 [9748]~P144(x97482)+E(x97481,f80(x97482))+E(x97481,f329(f81(x97482),f80(x97482)))+~E(f329(f329(f249(x97482),x97481),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f80(x97482))
% 191.26/191.47 [10014]~P97(x100141)+~P73(x100141)+~P1(f329(f329(f241(x100141),f2(x100141)),x100142))+P1(f329(f329(f241(x100141),f2(x100141)),f329(f329(f292(x100141),x100142),f329(f108(x100141),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.47 [10068]~P97(x100681)+~P73(x100681)+P1(f329(f329(f241(x100681),f2(x100681)),x100682))+~P1(f329(f329(f241(x100681),f2(x100681)),f329(f329(f292(x100681),x100682),f329(f108(x100681),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.47 [10345]~P120(x103452)+E(x103451,f2(a1))+P1(f329(f329(f241(a1),x103451),f2(a1)))+E(f329(f329(f262(a1,a1,x103452),f329(f329(f7(a1,f916(a1,f916(x103452,x103452)),f916(a1,x103452)),f329(f329(f8(f916(f916(x103452,x103452),x103452),f916(f916(a1,f916(x103452,x103452)),f916(a1,x103452)),a1),f8(f916(x103452,x103452),x103452,a1)),f329(f329(f8(x103452,f916(f916(x103452,x103452),x103452),a1),f88(x103452,x103452)),f107(x103452)))),f329(f329(f7(a1,f916(x103452,x103452),f916(x103452,x103452)),f329(f329(f8(f916(x103452,f916(x103452,x103452)),f916(f916(x103452,x103452),f916(x103452,x103452)),a1),f18(x103452,x103452,x103452)),f329(f329(f7(a1,f916(x103452,x103452),f916(x103452,f916(x103452,x103452))),f329(f329(f8(f916(x103452,f916(x103452,x103452)),f916(f916(x103452,x103452),f916(x103452,f916(x103452,x103452))),a1),f8(x103452,f916(x103452,x103452),x103452)),f329(f329(f8(a903,f916(x103452,f916(x103452,x103452)),a1),f99(x103452)),f329(f329(f7(a1,a1,a903),a326),f2(a1))))),f329(f329(f18(x103452,x103452,x103452),f82(x103452)),f5(x103452))))),f329(f329(f7(x103452,x103452,x103452),f329(f329(f8(x103452,f916(x103452,x103452),x103452),f82(x103452)),f329(f329(f18(x103452,x103452,x103452),f82(x103452)),f5(x103452)))),f80(x103452))))),f47(x103451,f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f107(x103452),x103451))
% 191.26/191.47 [5433]~P44(x54331,x54333)+~P59(x54331,x54333)+~P60(x54331,x54332,x54333)+P13(x54331,x54332,x54333)
% 191.26/191.47 [5191]~P10(x51913)+~P46(x51913,x51913,x51911)+E(f329(x51911,x51912),x51912)+~E(x51912,f101(x51913,x51911))
% 191.26/191.47 [5192]~P10(x51923)+~P46(x51923,x51923,x51921)+E(f329(x51921,x51922),x51922)+~E(x51922,f100(x51923,x51921))
% 191.26/191.47 [4966]~P95(x49663)+~P97(x49663)+E(x49661,x49662)+~E(f329(f108(x49663),x49661),f329(f108(x49663),x49662))
% 191.26/191.47 [5443]~P57(x54431,x54432)+~P58(x54431,x54432)+P20(x54431,x54432)+~P1(f329(f329(x54432,x54433),x54433))
% 191.26/191.47 [5934]P20(x59342,x59341)+E(f329(x59341,f831(x59341)),f329(x59341,f832(x59341)))+P1(f329(f329(x59341,f831(x59341)),f832(x59341)))+~P1(f329(f329(x59341,x59343),x59343))
% 191.26/191.47 [6138]~P1(f329(x61381,x61382))+~P1(f329(x61381,x61383))+~P1(f329(f329(f240(a908),x61383),f871(x61382,x61381)))+P1(f329(x61381,f2(a908)))
% 191.26/191.47 [6207]P20(x62071,x62072)+P1(f329(f329(x62072,f831(x62072)),f831(x62072)))+P1(f329(f329(x62072,f831(x62072)),f832(x62072)))+~P1(f329(f329(x62072,x62073),x62073))
% 191.26/191.47 [6208]P20(x62081,x62082)+P1(f329(f329(x62082,f831(x62082)),f832(x62082)))+P1(f329(f329(x62082,f832(x62082)),f832(x62082)))+~P1(f329(f329(x62082,x62083),x62083))
% 191.26/191.47 [6561]P149(x65612,x65613,x65611)+E(x65611,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f847(x65611,x65613,x65612)))+P1(f329(f329(f241(a1),x65611),f2(a1)))
% 191.26/191.47 [6562]P148(x65622,x65623,x65621)+E(x65621,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f852(x65621,x65623,x65622)))+P1(f329(f329(f241(a1),x65621),f2(a1)))
% 191.26/191.47 [6685]P148(x66851,x66852,x66853)+~P1(f329(x66851,x66852))+P1(f329(f329(f240(a1),f2(a1)),f852(x66853,x66852,x66851)))+P1(f329(f329(f241(a1),x66853),f2(a1)))
% 191.26/191.47 [6712]P149(x67121,x67122,x67123)+P1(f329(f329(f240(a1),f2(a1)),f847(x67123,x67122,x67121)))+~P1(f329(x67121,f2(a1)))+P1(f329(f329(f241(a1),x67123),f2(a1)))
% 191.26/191.47 [6740]P149(x67402,x67403,x67401)+E(x67401,f2(a1))+~P1(f329(x67402,f848(x67401,x67403,x67402)))+P1(f329(f329(f241(a1),x67401),f2(a1)))
% 191.26/191.47 [6741]P148(x67412,x67413,x67411)+E(x67411,f2(a1))+~P1(f329(x67412,f852(x67411,x67413,x67412)))+P1(f329(f329(f241(a1),x67411),f2(a1)))
% 191.26/191.47 [6840]~P112(x68401)+~P10(x68401)+~P1(f329(f329(f241(x68401),x68402),f38(x68401,x68403)))+P1(f329(f329(f241(x68401),x68402),f612(x68403,x68402,x68401)))
% 191.26/191.47 [6849]P148(x68491,x68492,x68493)+~P1(f329(x68491,x68492))+~P1(f329(x68491,f852(x68493,x68492,x68491)))+P1(f329(f329(f241(a1),x68493),f2(a1)))
% 191.26/191.47 [6880]P149(x68801,x68802,x68803)+~P1(f329(x68801,f848(x68803,x68802,x68801)))+~P1(f329(x68801,f2(a1)))+P1(f329(f329(f241(a1),x68803),f2(a1)))
% 191.26/191.47 [7127]P149(x71272,x71273,x71271)+E(x71271,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f847(x71271,x71273,x71272)))+P1(f329(f329(f241(a1),x71271),f846(x71271,x71273,x71272)))
% 191.26/191.47 [7128]P148(x71282,x71283,x71281)+E(x71281,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f852(x71281,x71283,x71282)))+P1(f329(f329(f241(a1),x71281),f851(x71281,x71283,x71282)))
% 191.26/191.47 [7246]P148(x72461,x72462,x72463)+~P1(f329(x72461,x72462))+P1(f329(f329(f240(a1),f2(a1)),f852(x72463,x72462,x72461)))+P1(f329(f329(f241(a1),x72463),f851(x72463,x72462,x72461)))
% 191.26/191.47 [7265]P149(x72651,x72652,x72653)+P1(f329(f329(f240(a1),f2(a1)),f847(x72653,x72652,x72651)))+P1(f329(f329(f241(a1),x72653),f846(x72653,x72652,x72651)))+~P1(f329(x72651,f2(a1)))
% 191.26/191.47 [7298]P149(x72982,x72983,x72981)+E(x72981,f2(a1))+~P1(f329(x72982,f848(x72981,x72983,x72982)))+P1(f329(f329(f241(a1),x72981),f846(x72981,x72983,x72982)))
% 191.26/191.47 [7299]P148(x72992,x72993,x72991)+E(x72991,f2(a1))+~P1(f329(x72992,f852(x72991,x72993,x72992)))+P1(f329(f329(f241(a1),x72991),f851(x72991,x72993,x72992)))
% 191.26/191.47 [7343]P149(x73432,x73433,x73431)+E(x73431,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f847(x73431,x73433,x73432)))+~P1(f329(x73432,f850(x73431,x73433,x73432)))
% 191.26/191.47 [7344]P148(x73442,x73443,x73441)+E(x73441,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f852(x73441,x73443,x73442)))+~P1(f329(x73442,f851(x73441,x73443,x73442)))
% 191.26/191.47 [7445]P148(x74451,x74452,x74453)+~P1(f329(x74451,x74452))+~P1(f329(x74451,f852(x74453,x74452,x74451)))+P1(f329(f329(f241(a1),x74453),f851(x74453,x74452,x74451)))
% 191.26/191.47 [7460]P149(x74601,x74602,x74603)+~P1(f329(x74601,f848(x74603,x74602,x74601)))+P1(f329(f329(f241(a1),x74603),f846(x74603,x74602,x74601)))+~P1(f329(x74601,f2(a1)))
% 191.26/191.47 [7465]P148(x74651,x74652,x74653)+~P1(f329(x74651,x74652))+P1(f329(f329(f240(a1),f2(a1)),f852(x74653,x74652,x74651)))+~P1(f329(x74651,f851(x74653,x74652,x74651)))
% 191.26/191.47 [7481]P149(x74811,x74812,x74813)+P1(f329(f329(f240(a1),f2(a1)),f847(x74813,x74812,x74811)))+~P1(f329(x74811,f850(x74813,x74812,x74811)))+~P1(f329(x74811,f2(a1)))
% 191.26/191.47 [7502]P149(x75022,x75023,x75021)+E(x75021,f2(a1))+~P1(f329(x75022,f848(x75021,x75023,x75022)))+~P1(f329(x75022,f850(x75021,x75023,x75022)))
% 191.26/191.47 [7503]P148(x75032,x75033,x75031)+E(x75031,f2(a1))+~P1(f329(x75032,f852(x75031,x75033,x75032)))+~P1(f329(x75032,f851(x75031,x75033,x75032)))
% 191.26/191.47 [7596]P148(x75961,x75962,x75963)+~P1(f329(x75961,x75962))+~P1(f329(x75961,f852(x75963,x75962,x75961)))+~P1(f329(x75961,f851(x75963,x75962,x75961)))
% 191.26/191.47 [7613]P149(x76131,x76132,x76133)+~P1(f329(x76131,f848(x76133,x76132,x76131)))+~P1(f329(x76131,f850(x76133,x76132,x76131)))+~P1(f329(x76131,f2(a1)))
% 191.26/191.47 [7657]P149(x76572,x76573,x76571)+E(x76571,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f847(x76571,x76573,x76572)))+P1(f329(f329(f240(a1),f846(x76571,x76573,x76572)),f2(a1)))
% 191.26/191.47 [7658]P148(x76582,x76583,x76581)+E(x76581,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f852(x76581,x76583,x76582)))+P1(f329(f329(f240(a1),f851(x76581,x76583,x76582)),f2(a1)))
% 191.26/191.47 [7659]~P109(x76591)+~P1(f329(f329(f331(x76591),x76593),f189(x76591)))+~P1(f329(f329(f331(x76591),x76592),f189(x76591)))+P1(f329(f329(f331(x76591),f329(f329(f82(x76591),x76592),x76593)),f189(x76591)))
% 191.26/191.47 [7660]~P120(x76601)+~P1(f329(f329(f331(x76601),x76603),f114(x76601)))+~P1(f329(f329(f331(x76601),x76602),f114(x76601)))+P1(f329(f329(f331(x76601),f329(f329(f82(x76601),x76602),x76603)),f114(x76601)))
% 191.26/191.47 [7661]~P120(x76611)+~P1(f329(f329(f331(x76611),x76613),f114(x76611)))+~P1(f329(f329(f331(x76611),x76612),f114(x76611)))+P1(f329(f329(f331(x76611),f329(f329(f23(x76611),x76612),x76613)),f114(x76611)))
% 191.26/191.47 [7662]~P109(x76621)+~P1(f329(f329(f331(x76621),x76623),f189(x76621)))+~P1(f329(f329(f331(x76621),x76622),f189(x76621)))+P1(f329(f329(f331(x76621),f329(f329(f83(x76621),x76622),x76623)),f189(x76621)))
% 191.26/191.47 [7663]~P120(x76631)+~P1(f329(f329(f331(x76631),x76633),f114(x76631)))+~P1(f329(f329(f331(x76631),x76632),f114(x76631)))+P1(f329(f329(f331(x76631),f329(f329(f83(x76631),x76632),x76633)),f114(x76631)))
% 191.26/191.47 [7664]~P90(x76641)+~P1(f329(f329(f240(x76641),x76643),f2(x76641)))+~P1(f329(f329(f240(x76641),x76642),f2(x76641)))+P1(f329(f329(f240(x76641),f329(f329(f82(x76641),x76642),x76643)),f2(x76641)))
% 191.26/191.47 [7665]~P90(x76651)+~P1(f329(f329(f240(x76651),x76653),f2(x76651)))+~P1(f329(f329(f241(x76651),x76652),f2(x76651)))+P1(f329(f329(f241(x76651),f329(f329(f82(x76651),x76652),x76653)),f2(x76651)))
% 191.26/191.47 [7666]~P90(x76661)+~P1(f329(f329(f240(x76661),x76662),f2(x76661)))+~P1(f329(f329(f241(x76661),x76663),f2(x76661)))+P1(f329(f329(f241(x76661),f329(f329(f82(x76661),x76662),x76663)),f2(x76661)))
% 191.26/191.47 [7667]~P90(x76671)+~P1(f329(f329(f241(x76671),x76673),f2(x76671)))+~P1(f329(f329(f241(x76671),x76672),f2(x76671)))+P1(f329(f329(f241(x76671),f329(f329(f82(x76671),x76672),x76673)),f2(x76671)))
% 191.26/191.47 [7694]P149(x76943,x76942,x76941)+E(x76941,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76941),f848(x76941,x76942,x76943))),f847(x76941,x76942,x76943)),x76942)+P1(f329(f329(f241(a1),x76941),f2(a1)))
% 191.26/191.47 [7695]P148(x76953,x76952,x76951)+E(x76951,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76951),f853(x76951,x76952,x76953))),f852(x76951,x76952,x76953)),x76952)+P1(f329(f329(f241(a1),x76951),f2(a1)))
% 191.26/191.47 [7777]P148(x77771,x77772,x77773)+~P1(f329(x77771,x77772))+P1(f329(f329(f240(a1),f2(a1)),f852(x77773,x77772,x77771)))+P1(f329(f329(f240(a1),f851(x77773,x77772,x77771)),f2(a1)))
% 191.26/191.47 [7807]P149(x78071,x78072,x78073)+P1(f329(f329(f240(a1),f2(a1)),f847(x78073,x78072,x78071)))+~P1(f329(x78071,f2(a1)))+P1(f329(f329(f240(a1),f846(x78073,x78072,x78071)),f2(a1)))
% 191.26/191.47 [7816]P148(x78163,x78162,x78161)+~P1(f329(x78163,x78162))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78161),f853(x78161,x78162,x78163))),f852(x78161,x78162,x78163)),x78162)+P1(f329(f329(f241(a1),x78161),f2(a1)))
% 191.26/191.47 [7822]P149(x78222,x78223,x78221)+E(x78221,f2(a1))+~P1(f329(x78222,f848(x78221,x78223,x78222)))+P1(f329(f329(f240(a1),f846(x78221,x78223,x78222)),f2(a1)))
% 191.26/191.47 [7823]P148(x78232,x78233,x78231)+E(x78231,f2(a1))+~P1(f329(x78232,f852(x78231,x78233,x78232)))+P1(f329(f329(f240(a1),f851(x78231,x78233,x78232)),f2(a1)))
% 191.26/191.47 [7828]P149(x78283,x78282,x78281)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78281),f848(x78281,x78282,x78283))),f847(x78281,x78282,x78283)),x78282)+~P1(f329(x78283,f2(a1)))+P1(f329(f329(f241(a1),x78281),f2(a1)))
% 191.26/191.47 [7885]P148(x78851,x78852,x78853)+~P1(f329(x78851,x78852))+~P1(f329(x78851,f852(x78853,x78852,x78851)))+P1(f329(f329(f240(a1),f851(x78853,x78852,x78851)),f2(a1)))
% 191.26/191.47 [7889]P149(x78891,x78892,x78893)+~P1(f329(x78891,f848(x78893,x78892,x78891)))+~P1(f329(x78891,f2(a1)))+P1(f329(f329(f240(a1),f846(x78893,x78892,x78891)),f2(a1)))
% 191.26/191.47 [7964]~P129(x79641)+~P1(f329(f329(f240(x79641),f329(f329(f83(x79641),x79643),x79642)),f2(x79641)))+P1(f329(f329(f240(x79641),x79642),f2(x79641)))+P1(f329(f329(f240(x79641),x79643),f2(x79641)))
% 191.26/191.47 [7965]~P73(x79651)+~P1(f329(f329(f240(x79651),f329(f329(f292(x79651),x79653),x79652)),f2(x79651)))+P1(f329(f329(f240(x79651),x79652),f2(x79651)))+P1(f329(f329(f240(x79651),x79653),f2(x79651)))
% 191.26/191.47 [7966]~P73(x79661)+~P1(f329(f329(f241(x79661),f329(f329(f292(x79661),x79663),x79662)),f2(x79661)))+P1(f329(f329(f241(x79661),x79662),f2(x79661)))+P1(f329(f329(f241(x79661),x79663),f2(x79661)))
% 191.26/191.47 [8080]P149(x80803,x80802,x80801)+E(x80801,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80801),f848(x80801,x80802,x80803))),f847(x80801,x80802,x80803)),x80802)+P1(f329(f329(f241(a1),x80801),f846(x80801,x80802,x80803)))
% 191.26/191.47 [8081]P148(x80813,x80812,x80811)+E(x80811,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80811),f853(x80811,x80812,x80813))),f852(x80811,x80812,x80813)),x80812)+P1(f329(f329(f241(a1),x80811),f851(x80811,x80812,x80813)))
% 191.26/191.47 [8093]P149(x80933,x80932,x80931)+E(x80931,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80931),f850(x80931,x80932,x80933))),f846(x80931,x80932,x80933)),x80932)+P1(f329(f329(f240(a1),f2(a1)),f847(x80931,x80932,x80933)))
% 191.26/191.47 [8094]P148(x80943,x80942,x80941)+E(x80941,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80941),f855(x80941,x80942,x80943))),f851(x80941,x80942,x80943)),x80942)+P1(f329(f329(f240(a1),f2(a1)),f852(x80941,x80942,x80943)))
% 191.26/191.47 [8141]P148(x81413,x81412,x81411)+~P1(f329(x81413,x81412))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81411),f853(x81411,x81412,x81413))),f852(x81411,x81412,x81413)),x81412)+P1(f329(f329(f241(a1),x81411),f851(x81411,x81412,x81413)))
% 191.26/191.47 [8153]P149(x81533,x81532,x81531)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81531),f848(x81531,x81532,x81533))),f847(x81531,x81532,x81533)),x81532)+P1(f329(f329(f241(a1),x81531),f846(x81531,x81532,x81533)))+~P1(f329(x81533,f2(a1)))
% 191.26/191.47 [8159]P148(x81593,x81592,x81591)+~P1(f329(x81593,x81592))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81591),f855(x81591,x81592,x81593))),f851(x81591,x81592,x81593)),x81592)+P1(f329(f329(f240(a1),f2(a1)),f852(x81591,x81592,x81593)))
% 191.26/191.47 [8167]P149(x81673,x81672,x81671)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81671),f850(x81671,x81672,x81673))),f846(x81671,x81672,x81673)),x81672)+P1(f329(f329(f240(a1),f2(a1)),f847(x81671,x81672,x81673)))+~P1(f329(x81673,f2(a1)))
% 191.26/191.47 [8178]P149(x81783,x81782,x81781)+E(x81781,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81781),f848(x81781,x81782,x81783))),f847(x81781,x81782,x81783)),x81782)+~P1(f329(x81783,f850(x81781,x81782,x81783)))
% 191.26/191.47 [8179]P148(x81793,x81792,x81791)+E(x81791,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81791),f853(x81791,x81792,x81793))),f852(x81791,x81792,x81793)),x81792)+~P1(f329(x81793,f851(x81791,x81792,x81793)))
% 191.26/191.47 [8180]P149(x81803,x81802,x81801)+E(x81801,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81801),f850(x81801,x81802,x81803))),f846(x81801,x81802,x81803)),x81802)+~P1(f329(x81803,f848(x81801,x81802,x81803)))
% 191.26/191.47 [8181]P148(x81813,x81812,x81811)+E(x81811,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81811),f855(x81811,x81812,x81813))),f851(x81811,x81812,x81813)),x81812)+~P1(f329(x81813,f852(x81811,x81812,x81813)))
% 191.26/191.47 [8243]P148(x82433,x82432,x82431)+~P1(f329(x82433,x82432))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82431),f853(x82431,x82432,x82433))),f852(x82431,x82432,x82433)),x82432)+~P1(f329(x82433,f851(x82431,x82432,x82433)))
% 191.26/191.47 [8244]P148(x82443,x82442,x82441)+~P1(f329(x82443,x82442))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82441),f855(x82441,x82442,x82443))),f851(x82441,x82442,x82443)),x82442)+~P1(f329(x82443,f852(x82441,x82442,x82443)))
% 191.26/191.47 [8254]P149(x82543,x82542,x82541)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82541),f848(x82541,x82542,x82543))),f847(x82541,x82542,x82543)),x82542)+~P1(f329(x82543,f850(x82541,x82542,x82543)))+~P1(f329(x82543,f2(a1)))
% 191.26/191.47 [8255]P149(x82553,x82552,x82551)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82551),f850(x82551,x82552,x82553))),f846(x82551,x82552,x82553)),x82552)+~P1(f329(x82553,f848(x82551,x82552,x82553)))+~P1(f329(x82553,f2(a1)))
% 191.26/191.47 [8352]P149(x83523,x83522,x83521)+E(x83521,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83521),f848(x83521,x83522,x83523))),f847(x83521,x83522,x83523)),x83522)+P1(f329(f329(f240(a1),f846(x83521,x83522,x83523)),f2(a1)))
% 191.26/191.47 [8353]P148(x83533,x83532,x83531)+E(x83531,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83531),f853(x83531,x83532,x83533))),f852(x83531,x83532,x83533)),x83532)+P1(f329(f329(f240(a1),f851(x83531,x83532,x83533)),f2(a1)))
% 191.26/191.47 [8392]P148(x83923,x83922,x83921)+~P1(f329(x83923,x83922))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83921),f853(x83921,x83922,x83923))),f852(x83921,x83922,x83923)),x83922)+P1(f329(f329(f240(a1),f851(x83921,x83922,x83923)),f2(a1)))
% 191.26/191.47 [8397]P149(x83973,x83972,x83971)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83971),f848(x83971,x83972,x83973))),f847(x83971,x83972,x83973)),x83972)+~P1(f329(x83973,f2(a1)))+P1(f329(f329(f240(a1),f846(x83971,x83972,x83973)),f2(a1)))
% 191.26/191.47 [8531]P149(x85313,x85312,x85311)+E(x85311,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85311),f850(x85311,x85312,x85313))),f846(x85311,x85312,x85313)),x85312)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85311),f848(x85311,x85312,x85313))),f847(x85311,x85312,x85313)),x85312)
% 191.26/191.47 [8532]P148(x85323,x85322,x85321)+E(x85321,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85321),f855(x85321,x85322,x85323))),f851(x85321,x85322,x85323)),x85322)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85321),f853(x85321,x85322,x85323))),f852(x85321,x85322,x85323)),x85322)
% 191.26/191.47 [8555]P148(x85553,x85552,x85551)+~P1(f329(x85553,x85552))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85551),f855(x85551,x85552,x85553))),f851(x85551,x85552,x85553)),x85552)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85551),f853(x85551,x85552,x85553))),f852(x85551,x85552,x85553)),x85552)
% 191.26/191.47 [8567]P149(x85673,x85672,x85671)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85671),f850(x85671,x85672,x85673))),f846(x85671,x85672,x85673)),x85672)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85671),f848(x85671,x85672,x85673))),f847(x85671,x85672,x85673)),x85672)+~P1(f329(x85673,f2(a1)))
% 191.26/191.47 [9228]~P129(x92281)+~E(x92283,f2(x92281))+~E(x92282,f2(x92281))+P1(f329(f329(f240(x92281),f329(f329(f82(x92281),f329(f329(f83(x92281),x92282),x92282)),f329(f329(f83(x92281),x92283),x92283))),f2(x92281)))
% 191.26/191.47 [10283]~P121(x102831)+~E(x102833,f2(x102831))+~E(x102832,f2(x102831))+P1(f329(f329(f240(x102831),f329(f329(f82(x102831),f329(f329(f249(x102831),x102832),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102831),x102833),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))),f2(x102831)))
% 191.26/191.47 [4914]~E(x49143,x49141)+~P124(x49142)+E(x49141,f2(x49142))+E(f329(f329(f292(x49142),x49143),x49141),f80(x49142))
% 191.26/191.47 [4967]~P3(x49671)+~E(x49673,f191(x49671))+~E(x49672,f191(x49671))+E(f329(f329(f115(x49671),x49672),x49673),f191(x49671))
% 191.26/191.47 [4968]~P102(x49681)+~E(x49683,f247(x49681))+~E(x49682,f247(x49681))+E(f329(f329(f106(x49681),x49682),x49683),f247(x49681))
% 191.26/191.47 [5062]~P124(x50623)+E(x50621,x50622)+E(x50622,f2(x50623))+~E(f329(f329(f292(x50623),x50621),x50622),f80(x50623))
% 191.26/191.47 [5080]~P131(x50802)+E(x50801,f2(x50802))+E(x50803,f2(x50802))+~E(f329(f329(f83(x50802),x50803),x50801),f2(x50802))
% 191.26/191.47 [5081]~P143(x50812)+E(x50811,f2(x50812))+E(x50813,f2(x50812))+~E(f329(f329(f83(x50812),x50813),x50811),f2(x50812))
% 191.26/191.47 [5462]~P123(x54623)+E(x54621,x54622)+E(x54621,f329(f81(x54623),x54622))+~E(f329(f329(f83(x54623),x54621),x54621),f329(f329(f83(x54623),x54622),x54622))
% 191.26/191.47 [5500]~P98(x55001)+E(f329(f81(x55001),x55002),x55003)+~E(f329(f329(f115(x55001),x55002),x55003),f247(x55001))+~E(f329(f329(f106(x55001),x55002),x55003),f191(x55001))
% 191.26/191.47 [5577]~P121(x55773)+E(x55771,x55772)+P1(f329(f329(f241(x55773),x55772),x55771))+P1(f329(f329(f241(x55773),x55771),x55772))
% 191.26/191.47 [5578]~P112(x55783)+E(x55781,x55782)+P1(f329(f329(f241(x55783),x55782),x55781))+P1(f329(f329(f241(x55783),x55781),x55782))
% 191.26/191.47 [5579]~E(x55792,x55793)+~P112(x55791)+P1(f329(f329(f241(x55791),x55792),x55793))+P1(f329(f329(f240(x55791),x55792),x55793))
% 191.26/191.47 [5840]~P114(x58403)+E(x58401,x58402)+~P1(f329(f329(f240(x58403),x58402),x58401))+P1(f329(f329(f241(x58403),x58402),x58401))
% 191.26/191.47 [5842]~P112(x58423)+E(x58421,x58422)+~P1(f329(f329(f240(x58423),x58421),x58422))+P1(f329(f329(f241(x58423),x58421),x58422))
% 191.26/191.47 [5848]~P114(x58483)+E(x58481,x58482)+~P1(f329(f329(f240(x58483),x58481),x58482))+P1(f329(f329(f241(x58483),x58481),x58482))
% 191.26/191.47 [5954]P148(x59541,x59542,x59543)+~P1(f329(x59541,x59542))+P1(f329(f329(f241(a1),x59543),f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x59543))
% 191.26/191.47 [6003]P149(x60031,x60032,x60033)+~P1(f329(x60031,f2(a1)))+P1(f329(f329(f241(a1),x60033),f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x60033))
% 191.26/191.47 [6008]~P2(x60081)+E(f329(f329(f115(x60081),x60082),f10(x60081,x60083)),x60082)+~P1(f329(f62(x60081),x60083))+~P1(f329(f329(f331(x60081),x60082),x60083))
% 191.26/191.47 [6009]~P2(x60091)+E(f329(f329(f106(x60091),x60092),f13(x60091,x60093)),x60092)+~P1(f329(f62(x60091),x60093))+~P1(f329(f329(f331(x60091),x60092),x60093))
% 191.26/191.47 [6045]~P2(x60451)+E(f329(f329(f115(x60451),x60452),f13(x60451,x60453)),f13(x60451,x60453))+~P1(f329(f62(x60451),x60453))+~P1(f329(f329(f331(x60451),x60452),x60453))
% 191.26/191.47 [6046]~P2(x60461)+E(f329(f329(f106(x60461),x60462),f10(x60461,x60463)),f10(x60461,x60463))+~P1(f329(f62(x60461),x60463))+~P1(f329(f329(f331(x60461),x60462),x60463))
% 191.26/191.47 [6047]~P112(x60471)+E(f329(f329(f238(x60471),x60472),f14(x60471,x60473)),f14(x60471,x60473))+~P1(f329(f62(x60471),x60473))+~P1(f329(f329(f331(x60471),x60472),x60473))
% 191.26/191.47 [6048]~P112(x60481)+E(f329(f329(f239(x60481),x60482),f15(x60481,x60483)),f15(x60481,x60483))+~P1(f329(f62(x60481),x60483))+~P1(f329(f329(f331(x60481),x60482),x60483))
% 191.26/191.47 [6089]E(x60891,x60892)+~P114(x60893)+~P1(f329(f329(f240(x60893),x60892),x60891))+~P1(f329(f329(f240(x60893),x60891),x60892))
% 191.26/191.47 [6235]~P111(x62351)+P1(f329(f329(f241(x62351),x62353),x62352))+~P1(f329(f329(f240(x62351),x62353),x62352))+P1(f329(f329(f240(x62351),x62352),x62353))
% 191.26/191.47 [6261]~P112(x62611)+~P1(f329(f62(x62611),x62613))+P1(f329(f329(f240(x62611),x62612),f15(x62611,x62613)))+~P1(f329(f329(f331(x62611),x62612),x62613))
% 191.26/191.47 [6306]~P112(x63061)+E(f329(f329(f238(x63061),x63062),f12(x63061,f239(x63061),x63063)),x63062)+~P1(f329(f62(x63061),x63063))+~P1(f329(f329(f331(x63061),x63062),x63063))
% 191.26/191.47 [6307]~P112(x63071)+E(f329(f329(f239(x63071),x63072),f11(x63071,f238(x63071),x63073)),x63072)+~P1(f329(f62(x63071),x63073))+~P1(f329(f329(f331(x63071),x63072),x63073))
% 191.26/191.47 [6446]E(x64461,x64462)+~E(f329(f329(f23(a908),x64461),x64463),f329(f329(f23(a908),x64462),x64463))+~P1(f329(f329(f240(a908),x64463),x64461))+~P1(f329(f329(f240(a908),x64463),x64462))
% 191.26/191.47 [6473]~P112(x64731)+~P1(f329(f62(x64731),x64732))+~P1(f329(f329(f331(x64731),x64733),x64732))+P1(f329(f329(f240(x64731),f14(x64731,x64732)),x64733))
% 191.26/191.47 [6539]P149(x65392,x65393,x65391)+E(x65391,f2(a1))+P1(f329(f329(f241(a1),x65391),f846(x65391,x65393,x65392)))+P1(f329(f329(f241(a1),f2(a1)),x65391))
% 191.26/191.47 [6540]P148(x65402,x65403,x65401)+E(x65401,f2(a1))+P1(f329(f329(f241(a1),x65401),f851(x65401,x65403,x65402)))+P1(f329(f329(f241(a1),f2(a1)),x65401))
% 191.26/191.47 [6541]~P112(x65411)+E(f329(f329(f238(x65411),x65412),f11(x65411,f238(x65411),x65413)),f11(x65411,f238(x65411),x65413))+~P1(f329(f62(x65411),x65413))+~P1(f329(f329(f331(x65411),x65412),x65413))
% 191.26/191.47 [6542]~P112(x65421)+E(f329(f329(f239(x65421),x65422),f12(x65421,f239(x65421),x65423)),f12(x65421,f239(x65421),x65423))+~P1(f329(f62(x65421),x65423))+~P1(f329(f329(f331(x65421),x65422),x65423))
% 191.26/191.47 [6548]~P1(f329(x65481,x65482))+P1(f329(x65481,f582(x65482,x65481,x65483)))+P1(f329(x65481,f2(a908)))+~P1(f329(f329(f241(a908),x65482),x65483))
% 191.26/191.47 [6603]~P1(f329(x66031,x66032))+~P1(f329(f62(x66033),x66032))+P1(f329(x66031,f833(x66031,x66032,x66033)))+P1(f329(x66031,f191(f916(x66033,a903))))
% 191.26/191.47 [6618]~P121(x66181)+~P97(x66181)+P1(f329(f329(f240(x66181),f329(f108(x66181),x66182)),f329(f108(x66181),x66183)))+~P1(f329(f329(f240(a1),x66182),x66183))
% 191.26/191.47 [6619]~P121(x66191)+~P97(x66191)+P1(f329(f329(f241(x66191),f329(f108(x66191),x66192)),f329(f108(x66191),x66193)))+~P1(f329(f329(f241(a1),x66192),x66193))
% 191.26/191.47 [6622]~P1(f329(x66221,x66223))+~P1(f329(f62(x66222),x66223))+P1(f329(f62(x66222),f833(x66221,x66223,x66222)))+P1(f329(x66221,f191(f916(x66222,a903))))
% 191.26/191.47 [6655]P148(x66551,x66552,x66553)+~P1(f329(x66551,x66552))+P1(f329(f329(f241(a1),x66553),f851(x66553,x66552,x66551)))+P1(f329(f329(f241(a1),f2(a1)),x66553))
% 191.26/191.47 [6692]P149(x66921,x66922,x66923)+P1(f329(f329(f241(a1),x66923),f846(x66923,x66922,x66921)))+~P1(f329(x66921,f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x66923))
% 191.26/191.47 [6723]~P113(x67231)+~P96(x67231)+E(f329(f329(f238(x67231),f329(f108(x67231),x67232)),f329(f108(x67231),x67233)),f329(f108(x67231),x67233))+P1(f329(f329(f240(x67231),f329(f108(x67231),x67232)),f329(f108(x67231),x67233)))
% 191.26/191.47 [6724]~P113(x67241)+~P96(x67241)+E(f329(f329(f239(x67241),f329(f108(x67241),x67242)),f329(f108(x67241),x67243)),f329(f108(x67241),x67242))+P1(f329(f329(f240(x67241),f329(f108(x67241),x67242)),f329(f108(x67241),x67243)))
% 191.26/191.47 [6781]P149(x67812,x67813,x67811)+E(x67811,f2(a1))+~P1(f329(x67812,f850(x67811,x67813,x67812)))+P1(f329(f329(f241(a1),f2(a1)),x67811))
% 191.26/191.47 [6782]P148(x67822,x67823,x67821)+E(x67821,f2(a1))+~P1(f329(x67822,f851(x67821,x67823,x67822)))+P1(f329(f329(f241(a1),f2(a1)),x67821))
% 191.26/191.47 [6786]P1(f329(x67861,x67862))+~P1(f329(f62(x67863),x67862))+P1(f329(x67861,f854(x67861,x67862,x67863)))+~P1(f329(x67861,f191(f916(x67863,a903))))
% 191.26/191.47 [6807]P1(f329(x68071,x68072))+P1(f329(f62(x68073),f854(x68071,x68072,x68073)))+~P1(f329(f62(x68073),x68072))+~P1(f329(x68071,f191(f916(x68073,a903))))
% 191.26/191.47 [6869]P148(x68691,x68692,x68693)+~P1(f329(x68691,x68692))+~P1(f329(x68691,f851(x68693,x68692,x68691)))+P1(f329(f329(f241(a1),f2(a1)),x68693))
% 191.26/191.47 [6899]P149(x68991,x68992,x68993)+~P1(f329(x68991,f850(x68993,x68992,x68991)))+~P1(f329(x68991,f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x68993))
% 191.26/191.47 [7003]~P97(x70033)+~P121(x70033)+~P1(f329(f329(f240(x70033),f329(f108(x70033),x70031)),f329(f108(x70033),x70032)))+P1(f329(f329(f240(a1),x70031),x70032))
% 191.26/191.47 [7004]~P97(x70043)+~P121(x70043)+~P1(f329(f329(f241(x70043),f329(f108(x70043),x70041)),f329(f108(x70043),x70042)))+P1(f329(f329(f241(a1),x70041),x70042))
% 191.26/191.47 [7034]~P112(x70341)+~P18(x70341,x70343)+P18(x70341,f329(f329(f154(x70341),x70342),x70343))+~P1(f329(f329(f240(x70341),x70342),f735(x70343,x70342,x70341)))
% 191.26/191.47 [7035]~P112(x70351)+~P18(x70351,x70353)+P18(x70351,f329(f329(f154(x70351),x70352),x70353))+~P1(f329(f329(f240(x70351),x70352),f738(x70353,x70352,x70351)))
% 191.26/191.47 [7036]~P112(x70361)+~P18(x70361,x70363)+P18(x70361,f329(f329(f154(x70361),x70362),x70363))+~P1(f329(f329(f240(x70361),x70362),f777(x70362,x70363,x70361)))
% 191.26/191.47 [7119]P149(x71192,x71193,x71191)+E(x71191,f2(a1))+P1(f329(f329(f241(a1),x71191),f2(a1)))+P1(f329(f329(f241(a1),f847(x71191,x71193,x71192)),x71191))
% 191.26/191.47 [7120]P148(x71202,x71203,x71201)+E(x71201,f2(a1))+P1(f329(f329(f241(a1),x71201),f2(a1)))+P1(f329(f329(f241(a1),f852(x71201,x71203,x71202)),x71201))
% 191.26/191.47 [7156]P149(x71562,x71563,x71561)+E(x71561,f2(a1))+P1(f329(f329(f240(a1),f846(x71561,x71563,x71562)),f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x71561))
% 191.26/191.47 [7157]P148(x71572,x71573,x71571)+E(x71571,f2(a1))+P1(f329(f329(f240(a1),f851(x71571,x71573,x71572)),f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x71571))
% 191.26/191.47 [7182]~P112(x71821)+~P18(x71821,x71823)+E(f329(f329(f151(x71821,x71821,f5(x71821)),x71822),f173(x71821,x71822,x71823)),x71823)+~P1(f329(f329(f331(x71821),x71822),f329(f175(x71821),x71823)))
% 191.26/191.47 [7229]P148(x72291,x72292,x72293)+~P1(f329(x72291,x72292))+P1(f329(f329(f241(a1),x72293),f2(a1)))+P1(f329(f329(f241(a1),f852(x72293,x72292,x72291)),x72293))
% 191.26/191.47 [7235]~P113(x72351)+~P96(x72351)+E(f329(f329(f238(x72351),f329(f108(x72351),x72352)),f329(f108(x72351),x72353)),f329(f108(x72351),x72352))+~P1(f329(f329(f240(x72351),f329(f108(x72351),x72352)),f329(f108(x72351),x72353)))
% 191.26/191.47 [7236]~P113(x72361)+~P96(x72361)+E(f329(f329(f239(x72361),f329(f108(x72361),x72362)),f329(f108(x72361),x72363)),f329(f108(x72361),x72363))+~P1(f329(f329(f240(x72361),f329(f108(x72361),x72362)),f329(f108(x72361),x72363)))
% 191.26/191.47 [7250]P149(x72501,x72502,x72503)+~P1(f329(x72501,f2(a1)))+P1(f329(f329(f241(a1),x72503),f2(a1)))+P1(f329(f329(f241(a1),f847(x72503,x72502,x72501)),x72503))
% 191.26/191.47 [7258]P148(x72581,x72582,x72583)+~P1(f329(x72581,x72582))+P1(f329(f329(f240(a1),f851(x72583,x72582,x72581)),f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x72583))
% 191.26/191.47 [7282]P149(x72821,x72822,x72823)+~P1(f329(x72821,f2(a1)))+P1(f329(f329(f240(a1),f846(x72823,x72822,x72821)),f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x72823))
% 191.26/191.47 [7310]~P1(f329(x73101,x73102))+P1(f329(x73101,f2(a908)))+~P1(f329(f329(f241(a908),x73102),x73103))+P1(f329(f329(f241(a908),f582(x73102,x73101,x73103)),x73103))
% 191.26/191.47 [7327]~P112(x73271)+~P18(x73271,x73273)+P18(x73271,f329(f329(f154(x73271),x73272),x73273))+P1(f329(f329(f331(x73271),f735(x73273,x73272,x73271)),f329(f175(x73271),x73273)))
% 191.26/191.47 [7328]~P112(x73281)+~P18(x73281,x73283)+P18(x73281,f329(f329(f154(x73281),x73282),x73283))+P1(f329(f329(f331(x73281),f738(x73283,x73282,x73281)),f329(f175(x73281),x73283)))
% 191.26/191.47 [7329]~P112(x73291)+~P18(x73291,x73293)+P18(x73291,f329(f329(f154(x73291),x73292),x73293))+P1(f329(f329(f331(x73291),f777(x73292,x73293,x73291)),f329(f175(x73291),x73293)))
% 191.26/191.47 [7449]~P112(x74491)+~P10(x74491)+~P1(f329(f329(f241(x74491),x74493),f38(x74491,x74492)))+P1(f329(f329(f331(x74491),f612(x74492,x74493,x74491)),x74492))
% 191.26/191.47 [7611]~P112(x76111)+~P10(x76111)+~P1(f329(f329(f241(x76111),f39(x76111,x76113)),x76112))+P1(f329(f329(f331(x76111),f639(x76112,x76113,x76111)),x76113))
% 191.26/191.47 [7612]~P112(x76121)+~P10(x76121)+~P1(f329(f329(f241(x76121),f39(x76121,x76123)),x76122))+P1(f329(f329(f241(x76121),f639(x76122,x76123,x76121)),x76122))
% 191.26/191.47 [7625]P149(x76252,x76253,x76251)+E(x76251,f2(a1))+P1(f329(f329(f241(a1),x76251),f846(x76251,x76253,x76252)))+P1(f329(f329(f241(a1),f847(x76251,x76253,x76252)),x76251))
% 191.26/191.47 [7626]P148(x76262,x76263,x76261)+E(x76261,f2(a1))+P1(f329(f329(f241(a1),x76261),f851(x76261,x76263,x76262)))+P1(f329(f329(f241(a1),f852(x76261,x76263,x76262)),x76261))
% 191.26/191.47 [7715]P149(x77153,x77152,x77151)+E(x77151,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77151),f850(x77151,x77152,x77153))),f846(x77151,x77152,x77153)),x77152)+P1(f329(f329(f241(a1),f2(a1)),x77151))
% 191.26/191.47 [7716]P148(x77163,x77162,x77161)+E(x77161,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77161),f855(x77161,x77162,x77163))),f851(x77161,x77162,x77163)),x77162)+P1(f329(f329(f241(a1),f2(a1)),x77161))
% 191.26/191.47 [7718]~P129(x77181)+~P1(f329(f329(f240(x77181),x77183),f2(x77181)))+P1(f329(f329(f240(x77181),f329(f329(f83(x77181),x77182),x77183)),f2(x77181)))+~P1(f329(f329(f240(x77181),f2(x77181)),x77182))
% 191.26/191.47 [7719]~P129(x77191)+~P1(f329(f329(f240(x77191),x77192),f2(x77191)))+P1(f329(f329(f240(x77191),f329(f329(f83(x77191),x77192),x77193)),f2(x77191)))+~P1(f329(f329(f240(x77191),f2(x77191)),x77193))
% 191.26/191.47 [7721]~P137(x77211)+~P1(f329(f329(f240(x77211),x77213),f2(x77211)))+P1(f329(f329(f240(x77211),f329(f329(f83(x77211),x77212),x77213)),f2(x77211)))+~P1(f329(f329(f240(x77211),f2(x77211)),x77212))
% 191.26/191.47 [7723]~P137(x77231)+~P1(f329(f329(f240(x77231),x77232),f2(x77231)))+P1(f329(f329(f240(x77231),f329(f329(f83(x77231),x77232),x77233)),f2(x77231)))+~P1(f329(f329(f240(x77231),f2(x77231)),x77233))
% 191.26/191.47 [7724]~P73(x77241)+~P1(f329(f329(f240(x77241),x77243),f2(x77241)))+P1(f329(f329(f240(x77241),f329(f329(f292(x77241),x77242),x77243)),f2(x77241)))+~P1(f329(f329(f240(x77241),f2(x77241)),x77242))
% 191.26/191.47 [7725]~P73(x77251)+~P1(f329(f329(f240(x77251),x77252),f2(x77251)))+P1(f329(f329(f240(x77251),f329(f329(f292(x77251),x77252),x77253)),f2(x77251)))+~P1(f329(f329(f240(x77251),f2(x77251)),x77253))
% 191.26/191.47 [7726]~P74(x77261)+~P1(f329(f329(f240(x77261),x77262),f2(x77261)))+P1(f329(f329(f240(x77261),f329(f329(f292(x77261),x77262),x77263)),f2(x77261)))+~P1(f329(f329(f241(x77261),f2(x77261)),x77263))
% 191.26/191.47 [7727]~P74(x77271)+~P1(f329(f329(f241(x77271),x77273),f2(x77271)))+P1(f329(f329(f240(x77271),f329(f329(f292(x77271),x77272),x77273)),f2(x77271)))+~P1(f329(f329(f240(x77271),f2(x77271)),x77272))
% 191.26/191.47 [7729]~P133(x77291)+~P1(f329(f329(f241(x77291),x77293),f2(x77291)))+P1(f329(f329(f241(x77291),f329(f329(f83(x77291),x77292),x77293)),f2(x77291)))+~P1(f329(f329(f241(x77291),f2(x77291)),x77292))
% 191.26/191.47 [7730]~P133(x77301)+~P1(f329(f329(f241(x77301),x77302),f2(x77301)))+P1(f329(f329(f241(x77301),f329(f329(f83(x77301),x77302),x77303)),f2(x77301)))+~P1(f329(f329(f241(x77301),f2(x77301)),x77303))
% 191.26/191.47 [7731]~P73(x77311)+~P1(f329(f329(f241(x77311),x77313),f2(x77311)))+P1(f329(f329(f241(x77311),f329(f329(f292(x77311),x77312),x77313)),f2(x77311)))+~P1(f329(f329(f241(x77311),f2(x77311)),x77312))
% 191.26/191.47 [7732]~P73(x77321)+~P1(f329(f329(f241(x77321),x77322),f2(x77321)))+P1(f329(f329(f241(x77321),f329(f329(f292(x77321),x77322),x77323)),f2(x77321)))+~P1(f329(f329(f241(x77321),f2(x77321)),x77323))
% 191.26/191.47 [7733]~P74(x77331)+~P1(f329(f329(f241(x77331),x77333),f2(x77331)))+P1(f329(f329(f241(x77331),f329(f329(f292(x77331),x77332),x77333)),f2(x77331)))+~P1(f329(f329(f241(x77331),f2(x77331)),x77332))
% 191.26/191.47 [7734]~P74(x77341)+~P1(f329(f329(f241(x77341),x77342),f2(x77341)))+P1(f329(f329(f241(x77341),f329(f329(f292(x77341),x77342),x77343)),f2(x77341)))+~P1(f329(f329(f241(x77341),f2(x77341)),x77343))
% 191.26/191.47 [7750]P148(x77501,x77502,x77503)+~P1(f329(x77501,x77502))+P1(f329(f329(f241(a1),x77503),f851(x77503,x77502,x77501)))+P1(f329(f329(f241(a1),f852(x77503,x77502,x77501)),x77503))
% 191.26/191.47 [7763]P149(x77631,x77632,x77633)+P1(f329(f329(f241(a1),x77633),f846(x77633,x77632,x77631)))+~P1(f329(x77631,f2(a1)))+P1(f329(f329(f241(a1),f847(x77633,x77632,x77631)),x77633))
% 191.26/191.47 [7814]P149(x78142,x78143,x78141)+E(x78141,f2(a1))+~P1(f329(x78142,f850(x78141,x78143,x78142)))+P1(f329(f329(f241(a1),f847(x78141,x78143,x78142)),x78141))
% 191.26/191.47 [7815]P148(x78152,x78153,x78151)+E(x78151,f2(a1))+~P1(f329(x78152,f851(x78151,x78153,x78152)))+P1(f329(f329(f241(a1),f852(x78151,x78153,x78152)),x78151))
% 191.26/191.47 [7825]P148(x78253,x78252,x78251)+~P1(f329(x78253,x78252))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78251),f855(x78251,x78252,x78253))),f851(x78251,x78252,x78253)),x78252)+P1(f329(f329(f241(a1),f2(a1)),x78251))
% 191.26/191.47 [7841]P149(x78413,x78412,x78411)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78411),f850(x78411,x78412,x78413))),f846(x78411,x78412,x78413)),x78412)+~P1(f329(x78413,f2(a1)))+P1(f329(f329(f241(a1),f2(a1)),x78411))
% 191.26/191.47 [7869]~P1(f329(x78691,x78693))+~P1(f329(f62(x78692),x78693))+P1(f329(f329(f331(x78692),f822(x78691,x78693,x78692)),f833(x78691,x78693,x78692)))+P1(f329(x78691,f191(f916(x78692,a903))))
% 191.26/191.47 [7880]P148(x78801,x78802,x78803)+~P1(f329(x78801,x78802))+~P1(f329(x78801,f851(x78803,x78802,x78801)))+P1(f329(f329(f241(a1),f852(x78803,x78802,x78801)),x78803))
% 191.26/191.47 [7886]P149(x78861,x78862,x78863)+~P1(f329(x78861,f850(x78863,x78862,x78861)))+~P1(f329(x78861,f2(a1)))+P1(f329(f329(f241(a1),f847(x78863,x78862,x78861)),x78863))
% 191.26/191.47 [7995]~P129(x79951)+~P1(f329(f329(f240(x79951),f329(f329(f83(x79951),x79953),x79952)),f2(x79951)))+P1(f329(f329(f240(x79951),x79952),f2(x79951)))+P1(f329(f329(f240(x79951),f2(x79951)),x79952))
% 191.26/191.47 [7996]~P129(x79961)+~P1(f329(f329(f240(x79961),f329(f329(f83(x79961),x79962),x79963)),f2(x79961)))+P1(f329(f329(f240(x79961),x79962),f2(x79961)))+P1(f329(f329(f240(x79961),f2(x79961)),x79962))
% 191.26/191.47 [7997]~P73(x79971)+~P1(f329(f329(f240(x79971),f329(f329(f292(x79971),x79973),x79972)),f2(x79971)))+P1(f329(f329(f240(x79971),x79972),f2(x79971)))+P1(f329(f329(f240(x79971),f2(x79971)),x79972))
% 191.26/191.47 [7998]~P73(x79981)+~P1(f329(f329(f240(x79981),f329(f329(f292(x79981),x79982),x79983)),f2(x79981)))+P1(f329(f329(f240(x79981),x79982),f2(x79981)))+P1(f329(f329(f240(x79981),f2(x79981)),x79982))
% 191.26/191.47 [7999]~P73(x79991)+~P1(f329(f329(f241(x79991),f329(f329(f292(x79991),x79993),x79992)),f2(x79991)))+P1(f329(f329(f241(x79991),x79992),f2(x79991)))+P1(f329(f329(f241(x79991),f2(x79991)),x79992))
% 191.26/191.47 [8000]~P73(x80001)+~P1(f329(f329(f241(x80001),f329(f329(f292(x80001),x80002),x80003)),f2(x80001)))+P1(f329(f329(f241(x80001),x80002),f2(x80001)))+P1(f329(f329(f241(x80001),f2(x80001)),x80002))
% 191.26/191.47 [8024]~P129(x80241)+~P1(f329(f329(f240(x80241),f329(f329(f83(x80241),x80242),x80243)),f2(x80241)))+P1(f329(f329(f240(x80241),f2(x80241)),x80242))+P1(f329(f329(f240(x80241),f2(x80241)),x80243))
% 191.26/191.47 [8025]~P73(x80251)+~P1(f329(f329(f240(x80251),f329(f329(f292(x80251),x80252),x80253)),f2(x80251)))+P1(f329(f329(f240(x80251),f2(x80251)),x80252))+P1(f329(f329(f240(x80251),f2(x80251)),x80253))
% 191.26/191.47 [8026]~P73(x80261)+~P1(f329(f329(f241(x80261),f329(f329(f292(x80261),x80262),x80263)),f2(x80261)))+P1(f329(f329(f241(x80261),f2(x80261)),x80262))+P1(f329(f329(f241(x80261),f2(x80261)),x80263))
% 191.26/191.47 [8048]P149(x80482,x80483,x80481)+E(x80481,f2(a1))+P1(f329(f329(f240(a1),f846(x80481,x80483,x80482)),f2(a1)))+P1(f329(f329(f241(a1),f847(x80481,x80483,x80482)),x80481))
% 191.26/191.47 [8049]P148(x80492,x80493,x80491)+E(x80491,f2(a1))+P1(f329(f329(f240(a1),f851(x80491,x80493,x80492)),f2(a1)))+P1(f329(f329(f241(a1),f852(x80491,x80493,x80492)),x80491))
% 191.26/191.47 [8056]~P127(x80561)+~P1(f329(f329(f241(x80561),x80562),f80(x80561)))+P1(f329(f329(f241(x80561),f329(f329(f249(x80561),x80562),f329(a117,x80563))),f80(x80561)))+~P1(f329(f329(f241(x80561),f2(x80561)),x80562))
% 191.26/191.47 [8112]~P112(x81121)+~E(x81123,f118(x81121))+~P18(x81121,f329(f171(x81121),x81123))+E(f329(f145(x81121,x81121,f329(f7(x81121,x81121,x81121),f239(x81121)),x81122),f329(f171(x81121),x81123)),x81122)
% 191.26/191.47 [8115]P148(x81151,x81152,x81153)+~P1(f329(x81151,x81152))+P1(f329(f329(f240(a1),f851(x81153,x81152,x81151)),f2(a1)))+P1(f329(f329(f241(a1),f852(x81153,x81152,x81151)),x81153))
% 191.26/191.47 [8125]P149(x81251,x81252,x81253)+~P1(f329(x81251,f2(a1)))+P1(f329(f329(f240(a1),f846(x81253,x81252,x81251)),f2(a1)))+P1(f329(f329(f241(a1),f847(x81253,x81252,x81251)),x81253))
% 191.26/191.48 [8347]P149(x83473,x83472,x83471)+E(x83471,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83471),f850(x83471,x83472,x83473))),f846(x83471,x83472,x83473)),x83472)+P1(f329(f329(f241(a1),f847(x83471,x83472,x83473)),x83471))
% 191.26/191.48 [8348]P148(x83483,x83482,x83481)+E(x83481,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83481),f855(x83481,x83482,x83483))),f851(x83481,x83482,x83483)),x83482)+P1(f329(f329(f241(a1),f852(x83481,x83482,x83483)),x83481))
% 191.26/191.48 [8383]P148(x83833,x83832,x83831)+~P1(f329(x83833,x83832))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83831),f855(x83831,x83832,x83833))),f851(x83831,x83832,x83833)),x83832)+P1(f329(f329(f241(a1),f852(x83831,x83832,x83833)),x83831))
% 191.26/191.48 [8384]~P5(x83841)+~P80(x83841)+~P47(x83843)+E(f329(f329(f9(a908,x83841),f329(f329(f8(a1,x83841,a908),x83842),f105(a1))),f329(f312(a1,a908,a109),x83843)),f329(f329(f9(a1,x83841),x83842),x83843))
% 191.26/191.48 [8385]~P5(x83851)+~P80(x83851)+~P47(x83853)+E(f329(f329(f6(a908,x83851),f329(f329(f8(a1,x83851,a908),x83852),f105(a1))),f329(f312(a1,a908,a109),x83853)),f329(f329(f6(a1,x83851),x83852),x83853))
% 191.26/191.48 [8394]P149(x83943,x83942,x83941)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83941),f850(x83941,x83942,x83943))),f846(x83941,x83942,x83943)),x83942)+~P1(f329(x83943,f2(a1)))+P1(f329(f329(f241(a1),f847(x83941,x83942,x83943)),x83941))
% 191.26/191.48 [8417]~E(x84172,f2(a908))+~E(f329(f256(a908,a908),x84173),f2(a908))+~E(x84171,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),x84173)),x84172)),f329(f261(a908,a908),x84173)))+P1(f329(f49(x84171,x84172),x84173))
% 191.26/191.48 [8473]P1(f329(x84731,x84732))+~P1(f329(f329(f331(x84733),f843(x84731,x84732,x84733)),f854(x84731,x84732,x84733)))+~P1(f329(f62(x84733),x84732))+~P1(f329(x84731,f191(f916(x84733,a903))))
% 191.26/191.48 [9096]P1(f329(x90961,x90962))+~P1(f329(f62(x90963),x90962))+~P1(f329(x90961,f329(f329(f311(x90963),f843(x90961,x90962,x90963)),f854(x90961,x90962,x90963))))+~P1(f329(x90961,f191(f916(x90963,a903))))
% 191.26/191.48 [9341]P1(f329(f329(f240(a1),x93411),f2(a1)))+~P1(f329(f329(f241(a1),f329(f329(f82(a1),f329(f329(f83(a1),x93413),x93411)),x93412)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x93412))+~P1(f329(f329(f241(a1),f2(a1)),x93413))
% 191.26/191.48 [5909]~P2(x59092)+E(x59091,f191(f916(x59092,a903)))+~P1(f329(f62(x59092),x59091))+E(f10(x59092,f329(f329(f311(x59092),x59093),x59091)),f329(f329(f106(x59092),x59093),f10(x59092,x59091)))
% 191.26/191.48 [5910]~P2(x59102)+E(x59101,f191(f916(x59102,a903)))+~P1(f329(f62(x59102),x59101))+E(f13(x59102,f329(f329(f311(x59102),x59103),x59101)),f329(f329(f115(x59102),x59103),f13(x59102,x59101)))
% 191.26/191.48 [5911]~P112(x59112)+E(x59111,f191(f916(x59112,a903)))+~P1(f329(f62(x59112),x59111))+E(f14(x59112,f329(f329(f311(x59112),x59113),x59111)),f329(f329(f238(x59112),x59113),f14(x59112,x59111)))
% 191.26/191.48 [5912]~P112(x59122)+E(x59121,f191(f916(x59122,a903)))+~P1(f329(f62(x59122),x59121))+E(f15(x59122,f329(f329(f311(x59122),x59123),x59121)),f329(f329(f239(x59122),x59123),f15(x59122,x59121)))
% 191.26/191.48 [6232]~P129(x62321)+~E(x62323,f2(x62321))+~E(x62322,f2(x62321))+E(f329(f329(f82(x62321),f329(f329(f83(x62321),x62322),x62322)),f329(f329(f83(x62321),x62323),x62323)),f2(x62321))
% 191.26/191.48 [6299]~P99(x62992)+E(x62991,f191(f916(x62992,a903)))+~P1(f329(f62(x62992),x62991))+E(f329(f64(x62992,f83(x62992)),f329(f329(f311(x62992),x62993),x62991)),f329(f329(f83(x62992),x62993),f329(f64(x62992,f83(x62992)),x62991)))
% 191.26/191.48 [6424]~P112(x64242)+E(x64241,f191(f916(x64242,a903)))+~P1(f329(f62(x64242),x64241))+E(f11(x64242,f238(x64242),f329(f329(f311(x64242),x64243),x64241)),f329(f329(f238(x64242),x64243),f11(x64242,f238(x64242),x64241)))
% 191.26/191.48 [6425]~P112(x64252)+E(x64251,f191(f916(x64252,a903)))+~P1(f329(f62(x64252),x64251))+E(f12(x64252,f239(x64252),f329(f329(f311(x64252),x64253),x64251)),f329(f329(f239(x64252),x64253),f12(x64252,f239(x64252),x64251)))
% 191.26/191.48 [6933]~P76(x69331)+~P1(f329(f62(x69331),x69333))+E(f329(f64(x69331,f83(x69331)),f329(f329(f311(x69331),x69332),x69333)),f329(f329(f65(x69331,x69331,f83(x69331)),x69332),x69333))+P1(f329(f329(f331(x69331),x69332),x69333))
% 191.26/191.48 [7011]~E(f329(f329(f82(a1),x70112),f329(f329(f83(a1),x70113),x70111)),x70113)+~P1(f329(f329(f241(a1),f2(a1)),x70113))+P1(f329(f329(f240(a1),f80(a1)),x70111))+~P1(f329(f329(f241(a1),x70112),x70113))
% 191.26/191.48 [7041]~E(f329(f329(f82(a1),x70412),f329(f329(f83(a1),x70413),x70411)),x70413)+P1(f329(f329(f240(a1),x70411),f80(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x70412))+~P1(f329(f329(f241(a1),f2(a1)),x70413))
% 191.26/191.48 [7056]E(x70561,f2(a908))+~P1(f329(f49(x70563,x70561),x70562))+~P1(f329(f329(f241(a908),f2(a908)),x70561))+P1(f329(f329(f241(a908),f329(f261(a908,a908),x70562)),x70561))
% 191.26/191.48 [7087]~P141(x70871)+~P1(f329(f329(f240(x70871),x70872),f2(x70871)))+~P1(f329(f329(f240(x70871),x70873),f2(x70871)))+E(f329(f329(f83(x70871),f329(f77(x70871),x70872)),f329(f77(x70871),x70873)),f329(f77(x70871),f329(f329(f83(x70871),x70872),x70873)))
% 191.26/191.48 [7133]~P141(x71331)+~P1(f329(f329(f240(x71331),x71332),f2(x71331)))+E(f329(f329(f83(x71331),f329(f77(x71331),x71332)),f329(f77(x71331),x71333)),f329(f77(x71331),f329(f329(f83(x71331),x71332),x71333)))+~P1(f329(f329(f240(x71331),f2(x71331)),x71333))
% 191.26/191.48 [7134]~P141(x71341)+~P1(f329(f329(f240(x71341),x71343),f2(x71341)))+E(f329(f329(f83(x71341),f329(f77(x71341),x71342)),f329(f77(x71341),x71343)),f329(f77(x71341),f329(f329(f83(x71341),x71342),x71343)))+~P1(f329(f329(f240(x71341),f2(x71341)),x71342))
% 191.26/191.48 [7190]~P141(x71901)+E(f329(f329(f83(x71901),f329(f77(x71901),x71902)),f329(f77(x71901),x71903)),f329(f77(x71901),f329(f329(f83(x71901),x71902),x71903)))+~P1(f329(f329(f240(x71901),f2(x71901)),x71902))+~P1(f329(f329(f240(x71901),f2(x71901)),x71903))
% 191.26/191.48 [7206]~P129(x72061)+~P1(f329(f329(f240(x72061),x72063),f2(x72061)))+~P1(f329(f329(f240(x72061),x72062),f2(x72061)))+P1(f329(f329(f240(x72061),f2(x72061)),f329(f329(f83(x72061),x72062),x72063)))
% 191.26/191.48 [7208]~P138(x72081)+~P1(f329(f329(f240(x72081),x72083),f2(x72081)))+~P1(f329(f329(f240(x72081),x72082),f2(x72081)))+P1(f329(f329(f240(x72081),f2(x72081)),f329(f329(f83(x72081),x72082),x72083)))
% 191.26/191.48 [7209]~P73(x72091)+~P1(f329(f329(f240(x72091),x72093),f2(x72091)))+~P1(f329(f329(f240(x72091),x72092),f2(x72091)))+P1(f329(f329(f240(x72091),f2(x72091)),f329(f329(f292(x72091),x72092),x72093)))
% 191.26/191.48 [7210]~P74(x72101)+~P1(f329(f329(f241(x72101),x72103),f2(x72101)))+~P1(f329(f329(f240(x72101),x72102),f2(x72101)))+P1(f329(f329(f240(x72101),f2(x72101)),f329(f329(f292(x72101),x72102),x72103)))
% 191.26/191.48 [7211]~P129(x72111)+~P1(f329(f329(f241(x72111),x72113),f2(x72111)))+~P1(f329(f329(f241(x72111),x72112),f2(x72111)))+P1(f329(f329(f241(x72111),f2(x72111)),f329(f329(f83(x72111),x72112),x72113)))
% 191.26/191.48 [7212]~P73(x72121)+~P1(f329(f329(f241(x72121),x72123),f2(x72121)))+~P1(f329(f329(f241(x72121),x72122),f2(x72121)))+P1(f329(f329(f241(x72121),f2(x72121)),f329(f329(f292(x72121),x72122),x72123)))
% 191.26/191.48 [7213]~P74(x72131)+~P1(f329(f329(f241(x72131),x72133),f2(x72131)))+~P1(f329(f329(f241(x72131),x72132),f2(x72131)))+P1(f329(f329(f241(x72131),f2(x72131)),f329(f329(f292(x72131),x72132),x72133)))
% 191.26/191.48 [7214]~P127(x72141)+~P1(f329(f329(f241(a908),f2(a908)),x72143))+~P1(f329(f329(f241(x72141),f80(x72141)),x72142))+P1(f329(f329(f241(x72141),f80(x72141)),f329(f329(f249(x72141),x72142),x72143)))
% 191.26/191.48 [7312]~P129(x73121)+~P1(f329(f329(f240(x73121),f2(x73121)),x73123))+~P1(f329(f329(f240(x73121),f2(x73121)),x73122))+P1(f329(f329(f240(x73121),f2(x73121)),f329(f329(f83(x73121),x73122),x73123)))
% 191.26/191.48 [7313]~P137(x73131)+~P1(f329(f329(f240(x73131),f2(x73131)),x73133))+~P1(f329(f329(f240(x73131),f2(x73131)),x73132))+P1(f329(f329(f240(x73131),f2(x73131)),f329(f329(f83(x73131),x73132),x73133)))
% 191.26/191.48 [7314]~P138(x73141)+~P1(f329(f329(f240(x73141),f2(x73141)),x73143))+~P1(f329(f329(f240(x73141),f2(x73141)),x73142))+P1(f329(f329(f240(x73141),f2(x73141)),f329(f329(f83(x73141),x73142),x73143)))
% 191.26/191.48 [7315]~P73(x73151)+~P1(f329(f329(f240(x73151),f2(x73151)),x73153))+~P1(f329(f329(f240(x73151),f2(x73151)),x73152))+P1(f329(f329(f240(x73151),f2(x73151)),f329(f329(f292(x73151),x73152),x73153)))
% 191.26/191.48 [7316]~P74(x73161)+~P1(f329(f329(f241(x73161),f2(x73161)),x73163))+~P1(f329(f329(f240(x73161),f2(x73161)),x73162))+P1(f329(f329(f240(x73161),f2(x73161)),f329(f329(f292(x73161),x73162),x73163)))
% 191.26/191.48 [7319]~P90(x73191)+~P1(f329(f329(f241(x73191),f2(x73191)),x73193))+~P1(f329(f329(f241(x73191),f2(x73191)),x73192))+P1(f329(f329(f241(x73191),f2(x73191)),f329(f329(f82(x73191),x73192),x73193)))
% 191.26/191.48 [7320]~P133(x73201)+~P1(f329(f329(f241(x73201),f2(x73201)),x73203))+~P1(f329(f329(f241(x73201),f2(x73201)),x73202))+P1(f329(f329(f241(x73201),f2(x73201)),f329(f329(f83(x73201),x73202),x73203)))
% 191.26/191.48 [7321]~P73(x73211)+~P1(f329(f329(f241(x73211),f2(x73211)),x73213))+~P1(f329(f329(f241(x73211),f2(x73211)),x73212))+P1(f329(f329(f241(x73211),f2(x73211)),f329(f329(f292(x73211),x73212),x73213)))
% 191.26/191.48 [7322]~P74(x73221)+~P1(f329(f329(f241(x73221),f2(x73221)),x73223))+~P1(f329(f329(f241(x73221),f2(x73221)),x73222))+P1(f329(f329(f241(x73221),f2(x73221)),f329(f329(f292(x73221),x73222),x73223)))
% 191.26/191.48 [7323]~P127(x73231)+~P1(f329(f329(f241(x73231),f80(x73231)),x73233))+~P1(f329(f329(f241(x73231),f80(x73231)),x73232))+P1(f329(f329(f241(x73231),f80(x73231)),f329(f329(f83(x73231),x73232),x73233)))
% 191.26/191.48 [7404]~P2(x74041)+~P1(f329(f62(x74041),x74043))+E(f10(x74041,f329(f329(f311(x74041),x74042),x74043)),x74042)+~E(f329(f329(f23(f916(x74041,a903)),x74043),f329(f329(f311(x74041),x74042),f191(f916(x74041,a903)))),f191(f916(x74041,a903)))
% 191.26/191.48 [7405]~P2(x74051)+~P1(f329(f62(x74051),x74053))+E(f13(x74051,f329(f329(f311(x74051),x74052),x74053)),x74052)+~E(f329(f329(f23(f916(x74051,a903)),x74053),f329(f329(f311(x74051),x74052),f191(f916(x74051,a903)))),f191(f916(x74051,a903)))
% 191.26/191.48 [7406]~P112(x74061)+~P1(f329(f62(x74061),x74063))+E(f14(x74061,f329(f329(f311(x74061),x74062),x74063)),x74062)+~E(f329(f329(f23(f916(x74061,a903)),x74063),f329(f329(f311(x74061),x74062),f191(f916(x74061,a903)))),f191(f916(x74061,a903)))
% 191.26/191.48 [7407]~P112(x74071)+~P1(f329(f62(x74071),x74073))+E(f15(x74071,f329(f329(f311(x74071),x74072),x74073)),x74072)+~E(f329(f329(f23(f916(x74071,a903)),x74073),f329(f329(f311(x74071),x74072),f191(f916(x74071,a903)))),f191(f916(x74071,a903)))
% 191.26/191.48 [7409]~P129(x74091)+P1(f329(f329(f240(x74091),x74092),f2(x74091)))+P1(f329(f329(f240(x74091),f2(x74091)),x74093))+~P1(f329(f329(f240(x74091),f2(x74091)),f329(f329(f83(x74091),x74093),x74092)))
% 191.26/191.48 [7410]~P129(x74101)+P1(f329(f329(f240(x74101),x74102),f2(x74101)))+P1(f329(f329(f240(x74101),f2(x74101)),x74103))+~P1(f329(f329(f240(x74101),f2(x74101)),f329(f329(f83(x74101),x74102),x74103)))
% 191.26/191.48 [7411]~P73(x74111)+P1(f329(f329(f240(x74111),x74112),f2(x74111)))+P1(f329(f329(f240(x74111),f2(x74111)),x74113))+~P1(f329(f329(f240(x74111),f2(x74111)),f329(f329(f292(x74111),x74113),x74112)))
% 191.26/191.48 [7412]~P73(x74121)+P1(f329(f329(f240(x74121),x74122),f2(x74121)))+P1(f329(f329(f240(x74121),f2(x74121)),x74123))+~P1(f329(f329(f240(x74121),f2(x74121)),f329(f329(f292(x74121),x74122),x74123)))
% 191.26/191.48 [7413]~P129(x74131)+P1(f329(f329(f240(x74131),x74132),f2(x74131)))+P1(f329(f329(f240(x74131),f2(x74131)),x74132))+~P1(f329(f329(f240(x74131),f2(x74131)),f329(f329(f83(x74131),x74133),x74132)))
% 191.26/191.48 [7414]~P129(x74141)+P1(f329(f329(f240(x74141),x74142),f2(x74141)))+P1(f329(f329(f240(x74141),f2(x74141)),x74142))+~P1(f329(f329(f240(x74141),f2(x74141)),f329(f329(f83(x74141),x74142),x74143)))
% 191.26/191.48 [7415]~P73(x74151)+P1(f329(f329(f240(x74151),x74152),f2(x74151)))+P1(f329(f329(f240(x74151),f2(x74151)),x74152))+~P1(f329(f329(f240(x74151),f2(x74151)),f329(f329(f292(x74151),x74153),x74152)))
% 191.26/191.48 [7416]~P73(x74161)+P1(f329(f329(f240(x74161),x74162),f2(x74161)))+P1(f329(f329(f240(x74161),f2(x74161)),x74162))+~P1(f329(f329(f240(x74161),f2(x74161)),f329(f329(f292(x74161),x74162),x74163)))
% 191.26/191.48 [7417]~P73(x74171)+P1(f329(f329(f241(x74171),x74172),f2(x74171)))+P1(f329(f329(f241(x74171),f2(x74171)),x74173))+~P1(f329(f329(f241(x74171),f2(x74171)),f329(f329(f292(x74171),x74173),x74172)))
% 191.26/191.48 [7418]~P73(x74181)+P1(f329(f329(f241(x74181),x74182),f2(x74181)))+P1(f329(f329(f241(x74181),f2(x74181)),x74183))+~P1(f329(f329(f241(x74181),f2(x74181)),f329(f329(f292(x74181),x74182),x74183)))
% 191.26/191.48 [7419]~P73(x74191)+P1(f329(f329(f241(x74191),x74192),f2(x74191)))+P1(f329(f329(f241(x74191),f2(x74191)),x74192))+~P1(f329(f329(f241(x74191),f2(x74191)),f329(f329(f292(x74191),x74193),x74192)))
% 191.26/191.48 [7420]~P73(x74201)+P1(f329(f329(f241(x74201),x74202),f2(x74201)))+P1(f329(f329(f241(x74201),f2(x74201)),x74202))+~P1(f329(f329(f241(x74201),f2(x74201)),f329(f329(f292(x74201),x74202),x74203)))
% 191.26/191.48 [7510]~E(f329(f329(f106(f916(x75101,a903)),f329(f175(x75101),x75102)),f329(f175(x75101),x75103)),f191(f916(x75101,a903)))+~P1(f329(f140(x75101),x75103))+~P1(f329(f140(x75101),x75102))+P1(f329(f140(x75101),f329(f329(f137(x75101),x75102),x75103)))
% 191.26/191.48 [7511]~P112(x75111)+~P1(f329(f62(x75111),x75113))+E(f11(x75111,f238(x75111),f329(f329(f311(x75111),x75112),x75113)),x75112)+~E(f329(f329(f23(f916(x75111,a903)),x75113),f329(f329(f311(x75111),x75112),f191(f916(x75111,a903)))),f191(f916(x75111,a903)))
% 191.26/191.48 [7512]~P112(x75121)+~P1(f329(f62(x75121),x75123))+E(f12(x75121,f239(x75121),f329(f329(f311(x75121),x75122),x75123)),x75122)+~E(f329(f329(f23(f916(x75121,a903)),x75123),f329(f329(f311(x75121),x75122),f191(f916(x75121,a903)))),f191(f916(x75121,a903)))
% 191.26/191.48 [7529]~P89(x75291)+~P1(f329(f329(f240(x75291),x75292),x75293))+~P1(f329(f329(f240(x75291),f329(f81(x75291),x75292)),x75293))+P1(f329(f329(f240(x75291),f329(f77(x75291),x75292)),x75293))
% 191.26/191.48 [7530]~P121(x75301)+~P1(f329(f329(f241(x75301),x75302),x75303))+~P1(f329(f329(f241(x75301),f329(f81(x75301),x75302)),x75303))+P1(f329(f329(f241(x75301),f329(f77(x75301),x75302)),x75303))
% 191.26/191.48 [7601]~P133(x76011)+P1(f329(f329(f241(x76011),f2(x76011)),x76012))+~P1(f329(f329(f241(x76011),f2(x76011)),x76013))+~P1(f329(f329(f241(x76011),f2(x76011)),f329(f329(f83(x76011),x76013),x76012)))
% 191.26/191.48 [7602]~P133(x76021)+P1(f329(f329(f241(x76021),f2(x76021)),x76022))+~P1(f329(f329(f241(x76021),f2(x76021)),x76023))+~P1(f329(f329(f241(x76021),f2(x76021)),f329(f329(f83(x76021),x76022),x76023)))
% 191.26/191.48 [7902]E(x79021,x79022)+~P1(f329(f62(x79023),x79021))+~P1(f329(f329(f240(a908),f329(f36(x79023),x79021)),f329(f36(x79023),x79022)))+~P1(f329(f329(f240(f916(x79023,a903)),x79022),x79021))
% 191.26/191.48 [8053]~P1(f329(f329(f241(a1),x80531),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x80532))+~P1(f329(f329(f240(a1),x80532),x80533))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x80531),x80532)),f329(f329(f37(a1),x80531),x80533)))
% 191.26/191.48 [8064]~P1(f329(f329(f240(a1),f2(a1)),x80641))+~P1(f329(f329(f241(a1),f2(a1)),x80643))+~P1(f329(f329(f240(a1),x80643),x80642))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x80641),x80642)),f329(f329(f37(a1),x80641),x80643)))
% 191.26/191.48 [8208]E(f329(x82081,f509(x82082,x82081,x82083)),x82082)+~P1(f329(f329(f240(a1),x82082),f329(x82081,x82083)))+P1(f329(f329(f241(a908),f510(x82082,x82081,x82083)),x82083))+~P1(f329(f329(f240(a1),f329(x82081,f2(a908))),x82082))
% 191.26/191.48 [8209]E(f329(x82091,f522(x82092,x82091,x82093)),x82092)+~P1(f329(f329(f240(a1),x82092),f329(x82091,x82093)))+P1(f329(f329(f241(a908),f523(x82092,x82091,x82093)),x82093))+~P1(f329(f329(f240(a1),f329(x82091,f2(a908))),x82092))
% 191.26/191.48 [8309]~P1(f329(f62(x83091),x83093))+~P1(f329(f329(f241(a908),f329(f36(x83091),x83092)),f329(f36(x83091),x83093)))+~P1(f329(f329(f240(f916(x83091,a903)),x83092),x83093))+P1(f329(f329(f241(f916(x83091,a903)),x83092),x83093))
% 191.26/191.48 [8336]E(f329(f329(f23(a1),f404(x83363,x83361,x83362)),f405(x83363,x83361,x83362)),x83361)+E(f329(f329(f82(a1),x83361),x83362),x83361)+~P1(f329(f329(f241(a1),f2(a1)),x83362))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x83361),f80(a1))),x83363))
% 191.26/191.48 [8337]E(f329(f329(f82(a1),f406(x83373,x83371,x83372)),f407(x83373,x83371,x83372)),x83371)+E(f329(f329(f23(a1),x83371),x83372),x83371)+~P1(f329(f329(f241(a1),f2(a1)),x83372))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x83371),f80(a1))),x83373))
% 191.26/191.48 [8389]~P1(f329(f329(f240(a908),x83893),x83891))+P1(f329(f329(f240(a908),x83891),x83892))+~P1(f329(f329(f240(a908),x83893),x83892))+~P1(f329(f329(f240(a908),f329(f329(f23(a908),x83891),x83893)),f329(f329(f23(a908),x83892),x83893)))
% 191.26/191.48 [8390]~P1(f329(f329(f240(a908),x83903),x83901))+P1(f329(f329(f241(a908),x83901),x83902))+~P1(f329(f329(f240(a908),x83903),x83902))+~P1(f329(f329(f241(a908),f329(f329(f23(a908),x83901),x83903)),f329(f329(f23(a908),x83902),x83903)))
% 191.26/191.48 [8409]~P112(x84092)+E(x84091,f118(x84092))+~P18(x84092,f329(f171(x84092),x84091))+E(f329(f145(x84092,x84092,f329(f7(x84092,x84092,x84092),f239(x84092)),x84093),f329(f171(x84092),x84091)),f329(f329(f239(x84092),f329(f329(f167(x84092),x84091),f2(a908))),x84093))
% 191.26/191.48 [8457]~P10(x84571)+~P46(x84571,x84571,x84573)+P1(f329(f329(f240(x84571),x84572),f101(x84571,x84573)))+~P1(f329(f329(f240(x84571),x84572),f329(x84573,f329(f329(f115(x84571),x84572),f101(x84571,x84573)))))
% 191.26/191.48 [8478]E(f329(f329(f82(a1),x84781),x84782),x84781)+~P1(f329(f329(f241(a1),f2(a1)),x84782))+P1(f329(f329(f331(a1),f404(x84783,x84781,x84782)),x84783))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x84781),f80(a1))),x84783))
% 191.26/191.48 [8479]E(f329(f329(f23(a1),x84791),x84792),x84791)+~P1(f329(f329(f241(a1),f2(a1)),x84792))+P1(f329(f329(f331(a1),f406(x84793,x84791,x84792)),x84793))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x84791),f80(a1))),x84793))
% 191.26/191.48 [8553]~P1(f329(f329(f240(a1),x85531),f329(x85532,x85533)))+P1(f329(f329(f241(a908),f510(x85531,x85532,x85533)),x85533))+P1(f329(f329(f240(a908),f509(x85531,x85532,x85533)),x85533))+~P1(f329(f329(f240(a1),f329(x85532,f2(a908))),x85531))
% 191.26/191.48 [8554]~P1(f329(f329(f240(a1),x85541),f329(x85542,x85543)))+P1(f329(f329(f241(a908),f523(x85541,x85542,x85543)),x85543))+P1(f329(f329(f240(a908),f522(x85541,x85542,x85543)),x85543))+~P1(f329(f329(f240(a1),f329(x85542,f2(a908))),x85541))
% 191.26/191.48 [8637]E(f329(f329(f82(a1),x86371),x86372),x86371)+~P1(f329(f329(f241(a1),f2(a1)),x86372))+P1(f329(f329(f331(a1),f405(x86373,x86371,x86372)),f305(a1,f80(a1),x86372)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x86371),f80(a1))),x86373))
% 191.26/191.48 [8638]E(f329(f329(f23(a1),x86381),x86382),x86381)+~P1(f329(f329(f241(a1),f2(a1)),x86382))+P1(f329(f329(f331(a1),f407(x86383,x86381,x86382)),f305(a1,f80(a1),x86382)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x86381),f80(a1))),x86383))
% 191.26/191.48 [8768]~P127(x87681)+~P1(f329(f329(f241(x87681),x87682),f80(x87681)))+~P1(f329(f329(f241(x87681),f2(x87681)),x87682))+P1(f329(f329(f241(x87681),f329(f329(f83(x87681),x87682),f329(f329(f249(x87681),x87682),x87683))),f329(f329(f249(x87681),x87682),x87683)))
% 191.26/191.48 [8852]~P1(f329(x88521,x88522))+P1(f329(x88521,f2(a908)))+~P1(f329(f329(f241(a908),x88522),x88523))+~P1(f329(x88521,f46(a908,f329(a117,f582(x88522,x88521,x88523)),x88523)))
% 191.26/191.48 [8998]E(f489(x89981,x89982,x89983),f2(a908))+P1(f329(f329(x89981,x89983),x89982))+P1(f329(f329(x89981,f489(x89981,x89982,x89983)),f46(a908,f485(x89981,x89982,x89983),f489(x89981,x89982,x89983))))+~P1(f329(f317(f915(a908,a908),a223),f329(f329(f257(a908,a908),x89983),x89982)))
% 191.26/191.48 [9037]~P30(x90371,x90371,x90372,x90373)+E(f329(f312(x90371,x90371,x90372),x90373),x90373)+~P1(f329(f62(x90371),x90373))+~P1(f329(f329(f240(f916(x90371,a903)),f329(f312(x90371,x90371,x90372),x90373)),x90373))
% 191.26/191.48 [9109]~P10(x91091)+~P46(x91091,x91091,x91093)+P1(f329(f329(f240(x91091),f329(f329(f115(x91091),x91092),f101(x91091,x91093))),f329(x91093,f329(f329(f115(x91091),x91092),f101(x91091,x91093)))))+~P1(f329(f329(f240(x91091),x91092),f329(x91093,f329(f329(f115(x91091),x91092),f101(x91091,x91093)))))
% 191.26/191.48 [9263]P1(f329(f329(x92631,x92632),x92633))+P1(f329(f329(f241(a1),f798(x92631,x92633,x92632)),f799(x92631,x92633,x92632)))+P1(f329(f329(x92631,f798(x92631,x92633,x92632)),f329(f329(f82(a1),f799(x92631,x92633,x92632)),f80(a1))))+~P1(f329(f317(f915(a1,a1),a136),f329(f329(f257(a1,a1),x92632),x92633)))
% 191.26/191.48 [9282]P1(f329(f329(x92821,x92822),x92823))+~P1(f329(f329(f241(a1),f373(x92821,x92823,x92822)),f2(a1)))+P1(f329(f329(x92821,f329(f81(a1),f372(x92821,x92823,x92822))),f329(f81(a1),f373(x92821,x92823,x92822))))+~P1(f329(f317(f915(a1,a1),a225),f329(f329(f257(a1,a1),x92822),x92823)))
% 191.26/191.48 [9467]P1(f329(f329(x94671,x94672),x94673))+P1(f329(f329(x94671,f329(f329(f82(a1),f701(x94671,x94673,x94672)),f80(a1))),f703(x94671,x94673,x94672)))+~P1(f329(f329(f240(a1),f701(x94671,x94673,x94672)),f703(x94671,x94673,x94672)))+~P1(f329(f317(f915(a1,a1),a185),f329(f329(f257(a1,a1),x94672),x94673)))
% 191.26/191.48 [9901]~P70(x99012)+~P70(x99011)+~P1(f329(f57(f915(x99011,x99012)),x99013))+P1(f329(f57(x99011),f329(f329(f8(f916(x99012,a903),a903,x99011),f57(x99012)),f329(f329(f8(f916(x99012,f915(x99011,x99012)),f916(x99012,a903),x99011),f329(f8(f915(x99011,x99012),a903,x99012),x99013)),f257(x99011,x99012)))))
% 191.26/191.48 [9902]~P70(x99022)+~P70(x99021)+~P1(f329(f58(f915(x99021,x99022)),x99023))+P1(f329(f58(x99021),f329(f329(f8(f916(x99022,a903),a903,x99021),f58(x99022)),f329(f329(f8(f916(x99022,f915(x99021,x99022)),f916(x99022,a903),x99021),f329(f8(f915(x99021,x99022),a903,x99022),x99023)),f257(x99021,x99022)))))
% 191.26/191.48 [9995]~P70(x99952)+~P70(x99951)+P1(f329(f57(f915(x99951,x99952)),x99953))+~P1(f329(f57(x99951),f329(f329(f8(f916(x99952,a903),a903,x99951),f57(x99952)),f329(f329(f8(f916(x99952,f915(x99951,x99952)),f916(x99952,a903),x99951),f329(f8(f915(x99951,x99952),a903,x99952),x99953)),f257(x99951,x99952)))))
% 191.26/191.48 [9996]~P70(x99962)+~P70(x99961)+P1(f329(f58(f915(x99961,x99962)),x99963))+~P1(f329(f58(x99961),f329(f329(f8(f916(x99962,a903),a903,x99961),f58(x99962)),f329(f329(f8(f916(x99962,f915(x99961,x99962)),f916(x99962,a903),x99961),f329(f8(f915(x99961,x99962),a903,x99962),x99963)),f257(x99961,x99962)))))
% 191.26/191.48 [10154]E(f329(x101541,f509(x101542,x101541,x101543)),x101542)+~P1(f329(f329(f240(a1),x101542),f329(x101541,x101543)))+~P1(f329(f329(f240(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101541,f329(f329(f82(a908),f510(x101542,x101541,x101543)),f80(a908)))),f329(x101541,f510(x101542,x101541,x101543))))),f80(a1)))+~P1(f329(f329(f240(a1),f329(x101541,f2(a908))),x101542))
% 191.26/191.48 [10155]E(f329(x101551,f522(x101552,x101551,x101553)),x101552)+~P1(f329(f329(f240(a1),x101552),f329(x101551,x101553)))+~P1(f329(f329(f240(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101551,f329(f329(f82(a908),f523(x101552,x101551,x101553)),f80(a908)))),f329(x101551,f523(x101552,x101551,x101553))))),f80(a1)))+~P1(f329(f329(f240(a1),f329(x101551,f2(a908))),x101552))
% 191.26/191.48 [10158]~P1(f329(f329(f240(a1),x101581),f329(x101582,x101583)))+~P1(f329(f329(f240(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101582,f329(f329(f82(a908),f510(x101581,x101582,x101583)),f80(a908)))),f329(x101582,f510(x101581,x101582,x101583))))),f80(a1)))+P1(f329(f329(f240(a908),f509(x101581,x101582,x101583)),x101583))+~P1(f329(f329(f240(a1),f329(x101582,f2(a908))),x101581))
% 191.26/191.48 [10159]~P1(f329(f329(f240(a1),x101591),f329(x101592,x101593)))+~P1(f329(f329(f240(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101592,f329(f329(f82(a908),f523(x101591,x101592,x101593)),f80(a908)))),f329(x101592,f523(x101591,x101592,x101593))))),f80(a1)))+P1(f329(f329(f240(a908),f522(x101591,x101592,x101593)),x101593))+~P1(f329(f329(f240(a1),f329(x101592,f2(a908))),x101591))
% 191.26/191.48 [10219]E(x102191,x102192)+~E(f329(f145(f909(x102193),f909(x102193),f137(x102193),f118(x102193)),x102191),f329(f145(f909(x102193),f909(x102193),f137(x102193),f118(x102193)),x102192))+~E(f329(f192(f909(f909(x102193))),x102191),f329(f192(f909(f909(x102193))),x102192))+~P1(f329(f329(f262(f909(x102193),f909(x102193),a903),f329(f329(f7(f909(x102193),f916(f909(x102193),a908),f916(f909(x102193),a903)),f329(f329(f8(f916(a908,a903),f916(f916(f909(x102193),a908),f916(f909(x102193),a903)),f909(x102193)),f8(a908,a903,f909(x102193))),f329(f329(f8(a908,f916(a908,a903),f909(x102193)),a326),f192(f909(x102193))))),f192(f909(x102193)))),f728(x102192,x102191,x102193)))
% 191.26/191.48 [10220]E(x102201,x102202)+~E(f329(f145(f909(x102203),f909(x102203),f137(x102203),f118(x102203)),x102201),f329(f145(f909(x102203),f909(x102203),f137(x102203),f118(x102203)),x102202))+~E(f329(f192(f909(f909(x102203))),x102201),f329(f192(f909(f909(x102203))),x102202))+~P1(f329(f329(f262(f909(x102203),f909(x102203),a903),f329(f329(f7(f909(x102203),f916(f909(x102203),a908),f916(f909(x102203),a903)),f329(f329(f8(f916(a908,a903),f916(f916(f909(x102203),a908),f916(f909(x102203),a903)),f909(x102203)),f8(a908,a903,f909(x102203))),f329(f329(f8(a908,f916(a908,a903),f909(x102203)),a326),f192(f909(x102203))))),f192(f909(x102203)))),f729(x102201,x102202,x102203)))
% 191.26/191.48 [6921]~E(f80(a908),f2(a908))+~P1(f329(f62(x69211),x69213))+~P1(f329(f62(x69211),x69212))+E(f329(f329(f82(a908),f329(f36(x69211),x69212)),f329(f36(x69211),x69213)),f329(f36(x69211),f329(f329(f115(f916(x69211,a903)),x69212),x69213)))
% 191.26/191.48 [7330]~P104(x73301)+~P1(f329(f62(x73301),x73302))+~P1(f329(f329(f331(x73301),x73303),x73302))+P1(f329(f329(f240(x73301),f329(f64(x73301,f106(x73301)),x73302)),x73303))
% 191.26/191.48 [7331]~P112(x73311)+~P1(f329(f62(x73311),x73312))+~P1(f329(f329(f331(x73311),x73313),x73312))+P1(f329(f329(f240(x73311),f329(f64(x73311,f238(x73311)),x73312)),x73313))
% 191.26/191.48 [7595]~P1(f329(f62(x75951),x75953))+~P1(f329(f62(x75951),x75952))+~E(f329(f329(f106(f916(x75951,a903)),x75952),x75953),f191(f916(x75951,a903)))+E(f329(f329(f82(a908),f329(f36(x75951),x75952)),f329(f36(x75951),x75953)),f329(f36(x75951),f329(f329(f115(f916(x75951,a903)),x75952),x75953)))
% 191.26/191.48 [8395]~P43(x83951,x83953)+~P43(x83951,x83952)+~E(f329(f329(f106(f916(x83951,a903)),f329(f269(x83951,x83951),x83952)),f329(f287(x83951,x83951),x83953)),f191(f916(x83951,a903)))+P43(x83951,f329(f329(f115(f916(f915(x83951,x83951),a903)),x83952),x83953))
% 191.26/191.48 [8490]E(x84901,f329(f329(f37(a908),x84902),x84903))+~P1(f329(f329(f241(a908),f2(a908)),x84903))+~P1(f329(f329(f241(a908),x84902),f329(f329(f83(a908),x84903),f329(a117,x84901))))+~P1(f329(f329(f240(a908),f329(f329(f83(a908),x84903),x84901)),x84902))
% 191.26/191.48 [8635]~P1(f329(f62(x86351),x86352))+~P1(f329(f62(x86351),x86353))+E(f329(f329(f82(a908),f329(f36(x86351),x86352)),f329(f36(x86351),x86353)),f329(f36(x86351),f329(f329(f115(f916(x86351,a903)),x86352),x86353)))+P1(f329(f329(f331(x86351),f872(x86353,x86352,x86351)),f329(f329(f106(f916(x86351,a903)),x86352),x86353)))
% 191.26/191.48 [9010]~P129(x90102)+~E(x90101,f2(x90102))+~E(x90103,f2(x90102))+~P1(f329(f329(f241(x90102),f2(x90102)),f329(f329(f82(x90102),f329(f329(f83(x90102),x90103),x90103)),f329(f329(f83(x90102),x90101),x90101))))
% 191.26/191.48 [9545]~P43(x95451,x95453)+~P43(x95451,x95452)+P43(x95451,f329(f329(f115(f916(f915(x95451,x95451),a903)),x95452),x95453))+~P1(f329(f329(f240(f916(f915(x95451,x95451),a903)),f329(f329(f291(x95451,x95451,x95451),x95452),x95453)),x95452))
% 191.26/191.48 [9675]~P1(f329(x96751,x96753))+~P1(f329(f62(x96752),x96753))+P1(f329(x96751,f191(f916(x96752,a903))))+~P1(f329(x96751,f329(f329(f23(f916(x96752,a903)),f833(x96751,x96753,x96752)),f329(f329(f311(x96752),f822(x96751,x96753,x96752)),f191(f916(x96752,a903))))))
% 191.26/191.48 [8803]~P1(f329(f329(f241(a1),f2(a1)),x88033))+P1(f329(f329(f240(a1),f2(a1)),x88031))+~P1(f329(f329(f241(a1),x88032),x88033))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x88033),x88031)),x88032)))
% 191.26/191.48 [8826]~P2(x88261)+~P1(f329(f62(x88261),x88262))+E(f329(f329(f23(f916(x88261,a903)),x88262),f329(f329(f311(x88261),x88263),f191(f916(x88261,a903)))),f191(f916(x88261,a903)))+E(f329(f329(f106(x88261),x88263),f10(x88261,f329(f329(f23(f916(x88261,a903)),x88262),f329(f329(f311(x88261),x88263),f191(f916(x88261,a903)))))),f10(x88261,f329(f329(f311(x88261),x88263),x88262)))
% 191.26/191.48 [8827]~P2(x88271)+~P1(f329(f62(x88271),x88272))+E(f329(f329(f23(f916(x88271,a903)),x88272),f329(f329(f311(x88271),x88273),f191(f916(x88271,a903)))),f191(f916(x88271,a903)))+E(f329(f329(f115(x88271),x88273),f13(x88271,f329(f329(f23(f916(x88271,a903)),x88272),f329(f329(f311(x88271),x88273),f191(f916(x88271,a903)))))),f13(x88271,f329(f329(f311(x88271),x88273),x88272)))
% 191.26/191.48 [8828]~P112(x88281)+~P1(f329(f62(x88281),x88282))+E(f329(f329(f23(f916(x88281,a903)),x88282),f329(f329(f311(x88281),x88283),f191(f916(x88281,a903)))),f191(f916(x88281,a903)))+E(f329(f329(f238(x88281),x88283),f14(x88281,f329(f329(f23(f916(x88281,a903)),x88282),f329(f329(f311(x88281),x88283),f191(f916(x88281,a903)))))),f14(x88281,f329(f329(f311(x88281),x88283),x88282)))
% 191.26/191.48 [8829]~P112(x88291)+~P1(f329(f62(x88291),x88292))+E(f329(f329(f23(f916(x88291,a903)),x88292),f329(f329(f311(x88291),x88293),f191(f916(x88291,a903)))),f191(f916(x88291,a903)))+E(f329(f329(f239(x88291),x88293),f15(x88291,f329(f329(f23(f916(x88291,a903)),x88292),f329(f329(f311(x88291),x88293),f191(f916(x88291,a903)))))),f15(x88291,f329(f329(f311(x88291),x88293),x88292)))
% 191.26/191.48 [8895]~P112(x88951)+~P1(f329(f62(x88951),x88952))+E(f329(f329(f23(f916(x88951,a903)),x88952),f329(f329(f311(x88951),x88953),f191(f916(x88951,a903)))),f191(f916(x88951,a903)))+E(f329(f329(f238(x88951),x88953),f11(x88951,f238(x88951),f329(f329(f23(f916(x88951,a903)),x88952),f329(f329(f311(x88951),x88953),f191(f916(x88951,a903)))))),f11(x88951,f238(x88951),f329(f329(f311(x88951),x88953),x88952)))
% 191.26/191.48 [8896]~P112(x88961)+~P1(f329(f62(x88961),x88962))+E(f329(f329(f23(f916(x88961,a903)),x88962),f329(f329(f311(x88961),x88963),f191(f916(x88961,a903)))),f191(f916(x88961,a903)))+E(f329(f329(f239(x88961),x88963),f12(x88961,f239(x88961),f329(f329(f23(f916(x88961,a903)),x88962),f329(f329(f311(x88961),x88963),f191(f916(x88961,a903)))))),f12(x88961,f239(x88961),f329(f329(f311(x88961),x88963),x88962)))
% 191.26/191.48 [9286]~P10(x92861)+~P46(x92861,x92861,x92862)+P1(f329(f329(f240(x92861),f100(x92861,x92862)),x92863))+~P1(f329(f329(f240(x92861),f329(x92862,f329(f329(f106(x92861),f100(x92861,x92862)),x92863))),x92863))
% 191.26/191.48 [9486]E(x94861,x94862)+~E(f329(f145(f909(x94863),f909(x94863),f137(x94863),f118(x94863)),x94861),f329(f145(f909(x94863),f909(x94863),f137(x94863),f118(x94863)),x94862))+~E(f329(f192(f909(f909(x94863))),x94861),f329(f192(f909(f909(x94863))),x94862))+P1(f329(f329(f331(f915(f909(x94863),f909(x94863))),f728(x94862,x94861,x94863)),f329(f175(f915(f909(x94863),f909(x94863))),f329(f329(f184(f909(x94863),f909(x94863)),x94861),x94862))))
% 191.26/191.48 [9487]E(x94871,x94872)+~E(f329(f145(f909(x94873),f909(x94873),f137(x94873),f118(x94873)),x94871),f329(f145(f909(x94873),f909(x94873),f137(x94873),f118(x94873)),x94872))+~E(f329(f192(f909(f909(x94873))),x94871),f329(f192(f909(f909(x94873))),x94872))+P1(f329(f329(f331(f915(f909(x94873),f909(x94873))),f729(x94871,x94872,x94873)),f329(f175(f915(f909(x94873),f909(x94873))),f329(f329(f184(f909(x94873),f909(x94873)),x94872),x94871))))
% 191.26/191.48 [10322]~P101(x103222)+E(x103221,f191(f916(x103222,a903)))+~P1(f329(f62(x103222),x103221))+E(f10(x103222,f329(f267(x103222),f329(f329(f8(f916(x103222,a903),a903,x103222),f89(x103222)),f329(f329(f7(x103222,f916(x103222,a903),f916(x103222,a903)),f329(f329(f8(f916(x103222,f916(a903,a903)),f916(f916(x103222,a903),f916(x103222,a903)),x103222),f18(x103222,a903,a903)),f329(f329(f8(f916(x103222,a903),f916(x103222,f916(a903,a903)),x103222),f329(f8(a903,f916(a903,a903),x103222),a327)),f329(f329(f7(x103222,f916(x103222,x103222),f916(x103222,a903)),f329(f329(f8(f916(x103222,a903),f916(f916(x103222,x103222),f916(x103222,a903)),x103222),f8(x103222,a903,x103222)),a326)),f329(f115(x103222),x103223))))),f329(f329(f7(x103222,f916(x103222,a903),a903),f331(x103222)),x103221))))),f329(f329(f115(x103222),x103223),f10(x103222,x103221)))
% 191.26/191.48 [10323]~P82(x103232)+E(x103231,f191(f916(x103232,a903)))+~P1(f329(f62(x103232),x103231))+E(f14(x103232,f329(f267(x103232),f329(f329(f8(f916(x103232,a903),a903,x103232),f89(x103232)),f329(f329(f7(x103232,f916(x103232,a903),f916(x103232,a903)),f329(f329(f8(f916(x103232,f916(a903,a903)),f916(f916(x103232,a903),f916(x103232,a903)),x103232),f18(x103232,a903,a903)),f329(f329(f8(f916(x103232,a903),f916(x103232,f916(a903,a903)),x103232),f329(f8(a903,f916(a903,a903),x103232),a327)),f329(f329(f7(x103232,f916(x103232,x103232),f916(x103232,a903)),f329(f329(f8(f916(x103232,a903),f916(f916(x103232,x103232),f916(x103232,a903)),x103232),f8(x103232,a903,x103232)),a326)),f329(f82(x103232),x103233))))),f329(f329(f7(x103232,f916(x103232,a903),a903),f331(x103232)),x103231))))),f329(f329(f82(x103232),x103233),f14(x103232,x103231)))
% 191.26/191.48 [10324]~P82(x103242)+E(x103241,f191(f916(x103242,a903)))+~P1(f329(f62(x103242),x103241))+E(f15(x103242,f329(f267(x103242),f329(f329(f8(f916(x103242,a903),a903,x103242),f89(x103242)),f329(f329(f7(x103242,f916(x103242,a903),f916(x103242,a903)),f329(f329(f8(f916(x103242,f916(a903,a903)),f916(f916(x103242,a903),f916(x103242,a903)),x103242),f18(x103242,a903,a903)),f329(f329(f8(f916(x103242,a903),f916(x103242,f916(a903,a903)),x103242),f329(f8(a903,f916(a903,a903),x103242),a327)),f329(f329(f7(x103242,f916(x103242,x103242),f916(x103242,a903)),f329(f329(f8(f916(x103242,a903),f916(f916(x103242,x103242),f916(x103242,a903)),x103242),f8(x103242,a903,x103242)),a326)),f329(f82(x103242),x103243))))),f329(f329(f7(x103242,f916(x103242,a903),a903),f331(x103242)),x103241))))),f329(f329(f82(x103242),x103243),f15(x103242,x103241)))
% 191.26/191.48 [10325]~P101(x103252)+E(x103251,f191(f916(x103252,a903)))+~P1(f329(f62(x103252),x103251))+E(f13(x103252,f329(f267(x103252),f329(f329(f8(f916(x103252,a903),a903,x103252),f89(x103252)),f329(f329(f7(x103252,f916(x103252,a903),f916(x103252,a903)),f329(f329(f8(f916(x103252,f916(a903,a903)),f916(f916(x103252,a903),f916(x103252,a903)),x103252),f18(x103252,a903,a903)),f329(f329(f8(f916(x103252,a903),f916(x103252,f916(a903,a903)),x103252),f329(f8(a903,f916(a903,a903),x103252),a327)),f329(f329(f7(x103252,f916(x103252,x103252),f916(x103252,a903)),f329(f329(f8(f916(x103252,a903),f916(f916(x103252,x103252),f916(x103252,a903)),x103252),f8(x103252,a903,x103252)),a326)),f329(f106(x103252),x103253))))),f329(f329(f7(x103252,f916(x103252,a903),a903),f331(x103252)),x103251))))),f329(f329(f106(x103252),x103253),f13(x103252,x103251)))
% 191.26/191.48 [10326]~P112(x103262)+E(x103261,f191(f916(x103262,a903)))+~P1(f329(f62(x103262),x103261))+E(f12(x103262,f239(x103262),f329(f267(x103262),f329(f329(f8(f916(x103262,a903),a903,x103262),f89(x103262)),f329(f329(f7(x103262,f916(x103262,a903),f916(x103262,a903)),f329(f329(f8(f916(x103262,f916(a903,a903)),f916(f916(x103262,a903),f916(x103262,a903)),x103262),f18(x103262,a903,a903)),f329(f329(f8(f916(x103262,a903),f916(x103262,f916(a903,a903)),x103262),f329(f8(a903,f916(a903,a903),x103262),a327)),f329(f329(f7(x103262,f916(x103262,x103262),f916(x103262,a903)),f329(f329(f8(f916(x103262,a903),f916(f916(x103262,x103262),f916(x103262,a903)),x103262),f8(x103262,a903,x103262)),a326)),f329(f238(x103262),x103263))))),f329(f329(f7(x103262,f916(x103262,a903),a903),f331(x103262)),x103261))))),f329(f329(f238(x103262),x103263),f12(x103262,f239(x103262),x103261)))
% 191.26/191.48 [10327]~P112(x103272)+E(x103271,f191(f916(x103272,a903)))+~P1(f329(f62(x103272),x103271))+E(f11(x103272,f238(x103272),f329(f267(x103272),f329(f329(f8(f916(x103272,a903),a903,x103272),f89(x103272)),f329(f329(f7(x103272,f916(x103272,a903),f916(x103272,a903)),f329(f329(f8(f916(x103272,f916(a903,a903)),f916(f916(x103272,a903),f916(x103272,a903)),x103272),f18(x103272,a903,a903)),f329(f329(f8(f916(x103272,a903),f916(x103272,f916(a903,a903)),x103272),f329(f8(a903,f916(a903,a903),x103272),a327)),f329(f329(f7(x103272,f916(x103272,x103272),f916(x103272,a903)),f329(f329(f8(f916(x103272,a903),f916(f916(x103272,x103272),f916(x103272,a903)),x103272),f8(x103272,a903,x103272)),a326)),f329(f239(x103272),x103273))))),f329(f329(f7(x103272,f916(x103272,a903),a903),f331(x103272)),x103271))))),f329(f329(f239(x103272),x103273),f11(x103272,f238(x103272),x103271)))
% 191.26/191.48 [10061]~P121(x100611)+~E(x100613,f2(x100611))+~E(x100612,f2(x100611))+E(f329(f329(f82(x100611),f329(f329(f249(x100611),x100612),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x100611),x100613),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f2(x100611))
% 191.26/191.48 [10200]~P127(x102001)+~P1(f329(f329(f240(x102001),f2(x102001)),x102003))+P1(f329(f329(f240(x102001),x102002),x102003))+~P1(f329(f329(f240(x102001),f329(f329(f249(x102001),x102002),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102001),x102003),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))))
% 191.26/191.48 [10257]~P121(x102572)+~E(x102571,f2(x102572))+~E(x102573,f2(x102572))+~P1(f329(f329(f241(x102572),f2(x102572)),f329(f329(f82(x102572),f329(f329(f249(x102572),x102573),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))),f329(f329(f249(x102572),x102571),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))))
% 191.26/191.48 [9449]E(x94491,x94492)+~E(f675(x94491,x94492,x94494,x94493),f677(x94491,x94492,x94494,x94493))+P1(f329(f329(f331(f915(f909(x94493),f909(x94493))),f329(f329(f257(f909(x94493),f909(x94493)),x94492),x94491)),f150(x94493,x94494)))+P1(f329(f329(f331(f915(f909(x94493),f909(x94493))),f329(f329(f257(f909(x94493),f909(x94493)),x94491),x94492)),f150(x94493,x94494)))
% 191.26/191.48 [4952]~P71(x49522)+~E(x49524,f2(x49522))+~E(x49521,f2(x49522))+E(x49521,f329(f329(f292(x49522),x49523),x49524))
% 191.26/191.48 [4953]~P71(x49531)+~E(x49533,f2(x49531))+~E(x49534,f2(x49531))+E(f329(f329(f292(x49531),x49532),x49533),x49534)
% 191.26/191.48 [5070]~P71(x50702)+E(x50701,f2(x50702))+~E(x50703,f2(x50702))+~E(x50701,f329(f329(f292(x50702),x50704),x50703))
% 191.26/191.48 [5071]~P71(x50712)+E(x50711,f2(x50712))+~E(x50713,f2(x50712))+~E(f329(f329(f292(x50712),x50714),x50713),x50711)
% 191.26/191.48 [5256]~P124(x52562)+E(x52561,f2(x52562))+~E(f329(f329(f292(x52562),x52563),x52561),x52564)+E(x52563,f329(f329(f83(x52562),x52564),x52561))
% 191.26/191.48 [5258]~P124(x52582)+E(x52581,f2(x52582))+~E(f329(f329(f83(x52582),x52583),x52581),x52584)+E(x52583,f329(f329(f292(x52582),x52584),x52581))
% 191.26/191.48 [5259]~P71(x52592)+E(x52591,f2(x52592))+~E(f329(f329(f292(x52592),x52593),x52591),x52594)+E(x52593,f329(f329(f83(x52592),x52594),x52591))
% 191.26/191.48 [5260]~P71(x52602)+E(x52601,f2(x52602))+~E(f329(f329(f83(x52602),x52603),x52601),x52604)+E(x52603,f329(f329(f292(x52602),x52604),x52601))
% 191.26/191.48 [5261]~P124(x52612)+E(x52611,f2(x52612))+~E(x52613,f329(f329(f292(x52612),x52614),x52611))+E(f329(f329(f83(x52612),x52613),x52611),x52614)
% 191.26/191.48 [5263]~P124(x52632)+E(x52631,f2(x52632))+~E(x52633,f329(f329(f83(x52632),x52634),x52631))+E(f329(f329(f292(x52632),x52633),x52631),x52634)
% 191.26/191.48 [5264]~P71(x52642)+E(x52641,f2(x52642))+~E(x52643,f329(f329(f292(x52642),x52644),x52641))+E(f329(f329(f83(x52642),x52643),x52641),x52644)
% 191.26/191.48 [5265]~P71(x52652)+E(x52651,f2(x52652))+~E(x52653,f329(f329(f83(x52652),x52654),x52651))+E(f329(f329(f292(x52652),x52653),x52651),x52654)
% 191.26/191.48 [5290]~P71(x52902)+~E(x52901,f2(x52902))+~E(f329(f329(f83(x52902),x52901),x52904),x52903)+E(x52901,f329(f329(f292(x52902),x52903),x52904))
% 191.26/191.48 [5291]~P71(x52911)+~E(x52914,f2(x52911))+~E(x52912,f329(f329(f83(x52911),x52914),x52913))+E(f329(f329(f292(x52911),x52912),x52913),x52914)
% 191.26/191.48 [5364]~E(x53643,x53644)+~E(x53642,x53643)+~P114(x53641)+E(f305(x53641,x53642,x53643),f329(f329(f311(x53641),x53644),f191(f916(x53641,a903))))
% 191.26/191.48 [5567]~E(f119(x55672,x55671),x55673)+~E(f147(x55672,x55671),x55674)+E(x55671,f118(x55672))+E(f329(f329(f137(x55672),x55673),f329(f329(f154(x55672),x55674),f118(x55672))),x55671)
% 191.26/191.48 [6198]~P127(x61983)+E(x61981,x61982)+~E(f329(f329(f249(x61983),x61984),x61981),f329(f329(f249(x61983),x61984),x61982))+~P1(f329(f329(f241(x61983),f80(x61983)),x61984))
% 191.26/191.48 [6199]E(x61991,x61992)+~E(f329(f329(f311(x61993),x61994),x61991),f329(f329(f311(x61993),x61994),x61992))+P1(f329(f329(f331(x61993),x61994),x61992))+P1(f329(f329(f331(x61993),x61994),x61991))
% 191.26/191.48 [6242]E(f329(x62421,x62422),f2(a908))+~E(f329(f329(f6(x62423,a908),x62421),x62424),f2(a908))+~P1(f329(f62(x62423),x62424))+~P1(f329(f329(f331(x62423),x62422),x62424))
% 191.26/191.48 [6243]E(f329(x62431,x62432),f80(a908))+~E(f329(f329(f9(x62433,a908),x62431),x62434),f80(a908))+~P1(f329(f62(x62433),x62434))+~P1(f329(f329(f331(x62433),x62432),x62434))
% 191.26/191.48 [6458]~P114(x64581)+~P1(f329(f329(f240(x64581),x64584),x64583))+P1(f329(f329(f240(x64581),x64582),x64583))+~P1(f329(f329(f240(x64581),x64582),x64584))
% 191.26/191.48 [6459]~P111(x64591)+~P1(f329(f329(f240(x64591),x64592),x64594))+P1(f329(f329(f240(x64591),x64592),x64593))+~P1(f329(f329(f240(x64591),x64594),x64593))
% 191.26/191.48 [6460]~P114(x64601)+~P1(f329(f329(f241(x64601),x64604),x64603))+P1(f329(f329(f241(x64601),x64602),x64603))+~P1(f329(f329(f240(x64601),x64602),x64604))
% 191.26/191.48 [6461]~P114(x64611)+~P1(f329(f329(f241(x64611),x64612),x64614))+P1(f329(f329(f241(x64611),x64612),x64613))+~P1(f329(f329(f240(x64611),x64614),x64613))
% 191.26/191.48 [6462]~P114(x64621)+~P1(f329(f329(f241(x64621),x64624),x64623))+P1(f329(f329(f241(x64621),x64622),x64623))+~P1(f329(f329(f241(x64621),x64622),x64624))
% 191.26/191.48 [6463]~P111(x64631)+~P1(f329(f329(f241(x64631),x64632),x64634))+P1(f329(f329(f241(x64631),x64632),x64633))+~P1(f329(f329(f240(x64631),x64634),x64633))
% 191.26/191.48 [6464]~P111(x64641)+~P1(f329(f329(f241(x64641),x64644),x64643))+P1(f329(f329(f241(x64641),x64642),x64643))+~P1(f329(f329(f240(x64641),x64642),x64644))
% 191.26/191.48 [6465]~P111(x64651)+~P1(f329(f329(f241(x64651),x64652),x64654))+P1(f329(f329(f241(x64651),x64652),x64653))+~P1(f329(f329(f241(x64651),x64654),x64653))
% 191.26/191.48 [6549]~P41(x65494,x65493,x65492)+E(x65491,f783(x65492,x65493,x65494))+~P1(f329(x65493,x65491))+~P1(f329(f329(f331(x65494),x65491),f329(f175(x65494),x65492)))
% 191.26/191.48 [6550]~P41(x65504,x65503,x65502)+E(x65501,f793(x65502,x65503,x65504))+~P1(f329(x65503,x65501))+~P1(f329(f329(f331(x65504),x65501),f329(f175(x65504),x65502)))
% 191.26/191.48 [6699]~P10(x66991)+~P1(f329(f329(f240(x66991),x66992),f39(x66991,x66994)))+P1(f329(f329(f240(x66991),x66992),x66993))+~P1(f329(f329(f331(x66991),x66993),x66994))
% 191.26/191.48 [6843]~P112(x68431)+~P18(x68431,f329(f329(f154(x68431),x68432),x68434))+~P1(f329(f329(f331(x68431),x68433),f329(f175(x68431),x68434)))+P1(f329(f329(f240(x68431),x68432),x68433))
% 191.26/191.48 [6931]~P10(x69311)+~P1(f329(f329(f240(x69311),f38(x69311,x69314)),x69313))+P1(f329(f329(f240(x69311),x69312),x69313))+~P1(f329(f329(f331(x69311),x69312),x69314))
% 191.26/191.48 [7333]~P112(x73331)+E(f329(f329(f115(f916(x73331,a903)),f329(f304(x73331,x73332),x73333)),f329(f304(x73331,x73333),x73334)),f329(f304(x73331,x73332),x73334))+~P1(f329(f329(f240(x73331),x73333),x73334))+~P1(f329(f329(f240(x73331),x73332),x73333))
% 191.26/191.48 [7380]P41(x73801,x73802,x73803)+~E(f795(x73803,x73802,x73801,x73804),x73804)+~P1(f329(x73802,x73804))+~P1(f329(f329(f331(x73801),x73804),f329(f175(x73801),x73803)))
% 191.26/191.48 [7381]P41(x73811,x73812,x73813)+~E(f802(x73813,x73812,x73811,x73814),x73814)+~P1(f329(x73812,x73814))+~P1(f329(f329(f331(x73811),x73814),f329(f175(x73811),x73813)))
% 191.26/191.48 [7459]~P112(x74591)+E(f329(f329(f115(f916(x74591,a903)),f329(f304(x74591,x74592),x74593)),f305(x74591,x74593,x74594)),f305(x74591,x74592,x74594))+~P1(f329(f329(f240(x74591),x74593),x74594))+~P1(f329(f329(f240(x74591),x74592),x74593))
% 191.26/191.48 [7521]~P112(x75211)+E(f329(f329(f115(f916(x75211,a903)),f308(x75211,x75212,x75213)),f329(f304(x75211,x75213),x75214)),f308(x75211,x75212,x75214))+~P1(f329(f329(f240(x75211),x75213),x75214))+~P1(f329(f329(f241(x75211),x75212),x75213))
% 191.26/191.48 [7541]~P112(x75411)+E(f329(f329(f115(f916(x75411,a903)),f305(x75411,x75412,x75413)),f308(x75411,x75413,x75414)),f329(f304(x75411,x75412),x75414))+~P1(f329(f329(f240(x75411),x75412),x75413))+~P1(f329(f329(f241(x75411),x75413),x75414))
% 191.26/191.48 [7575]~P112(x75751)+E(f329(f329(f115(f916(x75751,a903)),f308(x75751,x75752,x75753)),f305(x75751,x75753,x75754)),f307(x75751,x75752,x75754))+~P1(f329(f329(f240(x75751),x75753),x75754))+~P1(f329(f329(f241(x75751),x75752),x75753))
% 191.26/191.48 [7576]~P112(x75761)+E(f329(f329(f115(f916(x75761,a903)),f307(x75761,x75762,x75763)),f308(x75761,x75763,x75764)),f308(x75761,x75762,x75764))+~P1(f329(f329(f240(x75761),x75762),x75763))+~P1(f329(f329(f241(x75761),x75763),x75764))
% 191.26/191.48 [7577]~P112(x75771)+E(f329(f329(f115(f916(x75771,a903)),f307(x75771,x75772,x75773)),f307(x75771,x75773,x75774)),f307(x75771,x75772,x75774))+~P1(f329(f329(f240(x75771),x75773),x75774))+~P1(f329(f329(f240(x75771),x75772),x75773))
% 191.26/191.48 [7578]~P112(x75781)+E(f329(f329(f115(f916(x75781,a903)),f305(x75781,x75782,x75783)),f307(x75781,x75783,x75784)),f305(x75781,x75782,x75784))+~P1(f329(f329(f240(x75781),x75783),x75784))+~P1(f329(f329(f240(x75781),x75782),x75783))
% 191.26/191.48 [8379]P30(x83791,x83792,f859(x83793,x83792,x83794,x83791),x83794)+~P1(f329(f62(x83792),x83793))+~P1(f329(f62(x83791),x83794))+~P1(f329(f329(f240(a908),f329(f36(x83791),x83794)),f329(f36(x83792),x83793)))
% 191.26/191.48 [8400]P41(x84001,x84002,x84003)+~P1(f329(x84002,x84004))+P1(f329(x84002,f795(x84003,x84002,x84001,x84004)))+~P1(f329(f329(f331(x84001),x84004),f329(f175(x84001),x84003)))
% 191.26/191.48 [8401]P41(x84011,x84012,x84013)+~P1(f329(x84012,x84014))+P1(f329(x84012,f802(x84013,x84012,x84011,x84014)))+~P1(f329(f329(f331(x84011),x84014),f329(f175(x84011),x84013)))
% 191.26/191.48 [8456]~P80(x84561)+~E(f329(x84563,f586(x84563,x84564,x84562,x84561)),f80(x84561))+E(f329(f329(f329(f66(x84561,x84562,f83(x84561)),x84563),f80(x84561)),x84564),f80(x84561))+~P1(f329(f62(x84562),x84564))
% 191.26/191.48 [8735]~P127(x87351)+~P1(f329(f329(f240(x87351),f2(x87351)),x87353))+P1(f329(f329(f240(x87351),x87352),x87353))+~P1(f329(f329(f240(x87351),f329(f329(f249(x87351),x87352),f329(a117,x87354))),f329(f329(f249(x87351),x87353),f329(a117,x87354))))
% 191.26/191.48 [8894]~P46(f916(x88944,a903),f916(x88944,a903),x88943)+P1(f329(x88941,x88942))+~P1(f329(x88941,f540(x88941,x88943,x88942,x88944)))+~P1(f329(f329(f331(x88944),x88942),f100(f916(x88944,a903),x88943)))
% 191.26/191.48 [9038]P41(x90381,x90382,x90383)+~P1(f329(x90382,x90384))+~P1(f329(f329(f331(x90381),x90384),f329(f175(x90381),x90383)))+P1(f329(f329(f331(x90381),f795(x90383,x90382,x90381,x90384)),f329(f175(x90381),x90383)))
% 191.26/191.48 [9039]P41(x90391,x90392,x90393)+~P1(f329(x90392,x90394))+~P1(f329(f329(f331(x90391),x90394),f329(f175(x90391),x90393)))+P1(f329(f329(f331(x90391),f802(x90393,x90392,x90391,x90394)),f329(f175(x90391),x90393)))
% 191.26/191.48 [9117]~P80(x91171)+E(f329(f329(f329(f66(x91171,x91172,f83(x91171)),x91173),f80(x91171)),x91174),f80(x91171))+~P1(f329(f62(x91172),x91174))+P1(f329(f329(f331(x91172),f586(x91173,x91174,x91172,x91171)),x91174))
% 191.26/191.48 [9619]~P1(f329(f329(f240(a1),x96194),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96191),f46(a1,x96192,x96193))),x96194)),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x96193))+~P1(f329(f329(f241(a1),x96191),x96194))
% 191.26/191.48 [10054]~P1(f329(f62(x100541),x100542))+~P1(f329(f329(f331(x100541),x100544),x100542))+~P1(f329(f329(f331(x100541),x100543),x100542))+P1(f329(f329(f241(a908),f329(f36(x100541),f329(f329(f23(f916(x100541,a903)),f329(f329(f23(f916(x100541,a903)),x100542),f329(f329(f311(x100541),x100543),f191(f916(x100541,a903))))),f329(f329(f311(x100541),x100544),f191(f916(x100541,a903)))))),f329(f36(x100541),x100542)))
% 191.26/191.48 [7045]~P104(x70451)+~P1(f329(f329(f240(x70451),x70452),x70454))+~P1(f329(f329(f240(x70451),x70452),x70453))+P1(f329(f329(f240(x70451),x70452),f329(f329(f106(x70451),x70453),x70454)))
% 191.26/191.48 [7048]~P112(x70481)+~P1(f329(f329(f240(x70481),x70482),x70484))+~P1(f329(f329(f240(x70481),x70482),x70483))+P1(f329(f329(f240(x70481),x70482),f329(f329(f238(x70481),x70483),x70484)))
% 191.26/191.48 [7049]~P112(x70491)+~P1(f329(f329(f241(x70491),x70492),x70494))+~P1(f329(f329(f241(x70491),x70492),x70493))+P1(f329(f329(f241(x70491),x70492),f329(f329(f238(x70491),x70493),x70494)))
% 191.26/191.48 [7069]~P72(x70692)+E(x70691,f2(x70692))+E(f329(f329(f292(x70692),f329(f329(f249(x70692),x70691),x70693)),f329(f329(f249(x70692),x70691),x70694)),f329(f329(f249(x70692),x70691),f329(f329(f23(a908),x70693),x70694)))+~P1(f329(f329(f240(a908),x70694),x70693))
% 191.26/191.48 [7113]~P112(x71131)+~P18(x71131,f329(f329(f154(x71131),x71133),x71134))+P18(x71131,f329(f329(f154(x71131),x71132),f329(f329(f154(x71131),x71133),x71134)))+~P1(f329(f329(f240(x71131),x71132),x71133))
% 191.26/191.48 [7149]~P90(x71491)+~P1(f329(f329(f240(x71491),f2(x71491)),x71494))+~P1(f329(f329(f240(x71491),x71492),x71493))+P1(f329(f329(f240(x71491),x71492),f329(f329(f82(x71491),x71493),x71494)))
% 191.26/191.48 [7150]~P90(x71501)+~P1(f329(f329(f240(x71501),f2(x71501)),x71503))+~P1(f329(f329(f240(x71501),x71502),x71504))+P1(f329(f329(f240(x71501),x71502),f329(f329(f82(x71501),x71503),x71504)))
% 191.26/191.48 [7151]~P90(x71511)+~P1(f329(f329(f240(x71511),x71512),x71514))+~P1(f329(f329(f241(x71511),f2(x71511)),x71513))+P1(f329(f329(f241(x71511),x71512),f329(f329(f82(x71511),x71513),x71514)))
% 191.26/191.48 [7152]~P90(x71521)+~P1(f329(f329(f240(x71521),f2(x71521)),x71523))+~P1(f329(f329(f241(x71521),x71522),x71524))+P1(f329(f329(f241(x71521),x71522),f329(f329(f82(x71521),x71523),x71524)))
% 191.26/191.48 [7153]~P127(x71531)+~P1(f329(f329(f241(x71531),f2(x71531)),x71533))+~P1(f329(f329(f241(x71531),x71532),x71534))+P1(f329(f329(f241(x71531),x71532),f329(f329(f82(x71531),x71533),x71534)))
% 191.26/191.48 [7194]~P112(x71941)+P1(f329(f329(f240(x71941),x71942),x71943))+P1(f329(f329(f240(x71941),x71942),x71944))+~P1(f329(f329(f240(x71941),x71942),f329(f329(f239(x71941),x71944),x71943)))
% 191.26/191.48 [7195]~P112(x71951)+P1(f329(f329(f241(x71951),x71952),x71953))+P1(f329(f329(f241(x71951),x71952),x71954))+~P1(f329(f329(f241(x71951),x71952),f329(f329(f239(x71951),x71954),x71953)))
% 191.26/191.48 [7494]~P114(x74942)+~P70(x74941)+~P1(f329(f329(f241(f916(x74941,x74942)),x74943),x74944))+P1(f329(f329(f240(f916(x74941,x74942)),x74943),x74944))
% 191.26/191.48 [7862]~P74(x78621)+~P1(f329(f329(f241(x78621),x78624),f2(x78621)))+~P1(f329(f329(f240(x78621),x78623),f329(f329(f292(x78621),x78622),x78624)))+P1(f329(f329(f240(x78621),x78622),f329(f329(f83(x78621),x78623),x78624)))
% 191.26/191.48 [7863]~P74(x78631)+~P1(f329(f329(f241(x78631),x78634),f2(x78631)))+~P1(f329(f329(f240(x78631),x78633),f329(f329(f83(x78631),x78632),x78634)))+P1(f329(f329(f240(x78631),x78632),f329(f329(f292(x78631),x78633),x78634)))
% 191.26/191.48 [7864]~P74(x78641)+~P1(f329(f329(f241(x78641),x78644),f2(x78641)))+~P1(f329(f329(f241(x78641),x78643),f329(f329(f292(x78641),x78642),x78644)))+P1(f329(f329(f241(x78641),x78642),f329(f329(f83(x78641),x78643),x78644)))
% 191.26/191.48 [7865]~P74(x78651)+~P1(f329(f329(f241(x78651),x78654),f2(x78651)))+~P1(f329(f329(f241(x78651),x78653),f329(f329(f83(x78651),x78652),x78654)))+P1(f329(f329(f241(x78651),x78652),f329(f329(f292(x78651),x78653),x78654)))
% 191.26/191.48 [7978]~P129(x79781)+~P1(f329(f329(f241(x79781),x79782),f2(x79781)))+~P1(f329(f329(f240(x79781),x79784),x79783))+P1(f329(f329(f240(x79781),f329(f329(f83(x79781),x79782),x79783)),f329(f329(f83(x79781),x79782),x79784)))
% 191.26/191.48 [7979]~P138(x79791)+~P1(f329(f329(f240(x79791),x79792),f2(x79791)))+~P1(f329(f329(f240(x79791),x79794),x79793))+P1(f329(f329(f240(x79791),f329(f329(f83(x79791),x79792),x79793)),f329(f329(f83(x79791),x79792),x79794)))
% 191.26/191.48 [7980]~P138(x79801)+~P1(f329(f329(f240(x79801),x79803),f2(x79801)))+~P1(f329(f329(f240(x79801),x79804),x79802))+P1(f329(f329(f240(x79801),f329(f329(f83(x79801),x79802),x79803)),f329(f329(f83(x79801),x79804),x79803)))
% 191.26/191.48 [7981]~P73(x79811)+~P1(f329(f329(f240(x79811),x79813),f2(x79811)))+~P1(f329(f329(f240(x79811),x79814),x79812))+P1(f329(f329(f240(x79811),f329(f329(f292(x79811),x79812),x79813)),f329(f329(f292(x79811),x79814),x79813)))
% 191.26/191.48 [7985]~P129(x79851)+~P1(f329(f329(f241(x79851),x79853),f2(x79851)))+~P1(f329(f329(f241(x79851),x79854),x79852))+P1(f329(f329(f241(x79851),f329(f329(f83(x79851),x79852),x79853)),f329(f329(f83(x79851),x79854),x79853)))
% 191.26/191.48 [7986]~P129(x79861)+~P1(f329(f329(f241(x79861),x79862),f2(x79861)))+~P1(f329(f329(f241(x79861),x79864),x79863))+P1(f329(f329(f241(x79861),f329(f329(f83(x79861),x79862),x79863)),f329(f329(f83(x79861),x79862),x79864)))
% 191.26/191.48 [7987]~P74(x79871)+~P1(f329(f329(f241(x79871),x79873),f2(x79871)))+~P1(f329(f329(f241(x79871),x79874),x79872))+P1(f329(f329(f241(x79871),f329(f329(f292(x79871),x79872),x79873)),f329(f329(f292(x79871),x79874),x79873)))
% 191.26/191.48 [7988]~P127(x79881)+~P1(f329(f329(f241(x79881),f80(x79881)),x79882))+~P1(f329(f329(f240(a908),x79883),x79884))+P1(f329(f329(f240(x79881),f329(f329(f249(x79881),x79882),x79883)),f329(f329(f249(x79881),x79882),x79884)))
% 191.26/191.48 [7989]~P127(x79891)+~P1(f329(f329(f240(x79891),f80(x79891)),x79892))+~P1(f329(f329(f240(a908),x79893),x79894))+P1(f329(f329(f240(x79891),f329(f329(f249(x79891),x79892),x79893)),f329(f329(f249(x79891),x79892),x79894)))
% 191.26/191.48 [7991]~P127(x79911)+~P1(f329(f329(f241(x79911),f80(x79911)),x79912))+~P1(f329(f329(f241(a908),x79913),x79914))+P1(f329(f329(f241(x79911),f329(f329(f249(x79911),x79912),x79913)),f329(f329(f249(x79911),x79912),x79914)))
% 191.26/191.48 [8018]P1(f329(f329(f241(a908),f2(a908)),f329(x80181,x80182)))+~P1(f329(f62(x80183),x80184))+~P1(f329(f329(f331(x80183),x80182),x80184))+~P1(f329(f329(f241(a908),f2(a908)),f329(f329(f9(x80183,a908),x80181),x80184)))
% 191.26/191.48 [8027]~P129(x80271)+~P1(f329(f329(f241(x80271),f2(x80271)),x80272))+~P1(f329(f329(f240(x80271),x80273),x80274))+P1(f329(f329(f240(x80271),f329(f329(f83(x80271),x80272),x80273)),f329(f329(f83(x80271),x80272),x80274)))
% 191.26/191.48 [8028]~P140(x80281)+~P1(f329(f329(f240(x80281),x80283),x80284))+~P1(f329(f329(f240(x80281),f2(x80281)),x80282))+P1(f329(f329(f240(x80281),f329(f329(f83(x80281),x80282),x80283)),f329(f329(f83(x80281),x80282),x80284)))
% 191.26/191.48 [8029]~P139(x80291)+~P1(f329(f329(f240(x80291),x80293),x80294))+~P1(f329(f329(f240(x80291),f2(x80291)),x80292))+P1(f329(f329(f240(x80291),f329(f329(f83(x80291),x80292),x80293)),f329(f329(f83(x80291),x80292),x80294)))
% 191.26/191.48 [8030]~P140(x80301)+~P1(f329(f329(f240(x80301),x80302),x80304))+~P1(f329(f329(f240(x80301),f2(x80301)),x80303))+P1(f329(f329(f240(x80301),f329(f329(f83(x80301),x80302),x80303)),f329(f329(f83(x80301),x80304),x80303)))
% 191.26/191.48 [8031]~P127(x80311)+~P1(f329(f329(f240(x80311),x80312),x80314))+~P1(f329(f329(f240(x80311),f2(x80311)),x80312))+P1(f329(f329(f240(x80311),f329(f329(f249(x80311),x80312),x80313)),f329(f329(f249(x80311),x80314),x80313)))
% 191.26/191.48 [8032]~P73(x80321)+~P1(f329(f329(f240(x80321),x80322),x80324))+~P1(f329(f329(f240(x80321),f2(x80321)),x80323))+P1(f329(f329(f240(x80321),f329(f329(f292(x80321),x80322),x80323)),f329(f329(f292(x80321),x80324),x80323)))
% 191.26/191.48 [8034]~P133(x80341)+~P1(f329(f329(f241(x80341),x80343),x80344))+~P1(f329(f329(f241(x80341),f2(x80341)),x80342))+P1(f329(f329(f241(x80341),f329(f329(f83(x80341),x80342),x80343)),f329(f329(f83(x80341),x80342),x80344)))
% 191.26/191.48 [8035]~P122(x80351)+~P1(f329(f329(f241(x80351),x80353),x80354))+~P1(f329(f329(f241(x80351),f2(x80351)),x80352))+P1(f329(f329(f241(x80351),f329(f329(f83(x80351),x80352),x80353)),f329(f329(f83(x80351),x80352),x80354)))
% 191.26/191.48 [8036]~P129(x80361)+~P1(f329(f329(f241(x80361),x80362),x80364))+~P1(f329(f329(f241(x80361),f2(x80361)),x80363))+P1(f329(f329(f241(x80361),f329(f329(f83(x80361),x80362),x80363)),f329(f329(f83(x80361),x80364),x80363)))
% 191.26/191.48 [8037]~P133(x80371)+~P1(f329(f329(f241(x80371),x80372),x80374))+~P1(f329(f329(f241(x80371),f2(x80371)),x80373))+P1(f329(f329(f241(x80371),f329(f329(f83(x80371),x80372),x80373)),f329(f329(f83(x80371),x80374),x80373)))
% 191.26/191.48 [8038]~P129(x80381)+~P1(f329(f329(f241(x80381),x80383),x80384))+~P1(f329(f329(f241(x80381),f2(x80381)),x80382))+P1(f329(f329(f241(x80381),f329(f329(f83(x80381),x80382),x80383)),f329(f329(f83(x80381),x80382),x80384)))
% 191.26/191.48 [8039]~P74(x80391)+~P1(f329(f329(f241(x80391),x80392),x80394))+~P1(f329(f329(f241(x80391),f2(x80391)),x80393))+P1(f329(f329(f241(x80391),f329(f329(f292(x80391),x80392),x80393)),f329(f329(f292(x80391),x80394),x80393)))
% 191.26/191.48 [8082]~P113(x80822)+P1(f329(f329(f241(f916(x80821,x80822)),x80824),x80823))+~P1(f329(f329(f240(f916(x80821,x80822)),x80824),x80823))+P1(f329(f329(f240(f916(x80821,x80822)),x80823),x80824))
% 191.26/191.48 [8127]P1(f329(f329(f331(x81271),x81272),x81273))+P1(f329(f329(f331(x81271),x81272),x81274))+~P1(f329(f329(f240(f916(x81271,a903)),x81274),x81273))+P1(f329(f329(f241(f916(x81271,a903)),x81274),f329(f329(f311(x81271),x81272),x81273)))
% 191.26/191.48 [8290]P1(f329(f329(f331(x82901),x82902),x82903))+P1(f329(f329(f331(x82901),x82902),x82904))+~P1(f329(f329(f241(f916(x82901,a903)),x82904),f329(f329(f311(x82901),x82902),x82903)))+P1(f329(f329(f240(f916(x82901,a903)),x82904),x82903))
% 191.26/191.48 [8357]~P129(x83571)+P1(f329(f329(f241(x83571),x83573),x83572))+P1(f329(f329(f241(x83571),x83572),x83573))+~P1(f329(f329(f241(x83571),f329(f329(f83(x83571),x83574),x83572)),f329(f329(f83(x83571),x83574),x83573)))
% 191.26/191.48 [8358]~P129(x83581)+P1(f329(f329(f241(x83581),x83583),x83582))+P1(f329(f329(f241(x83581),x83582),x83583))+~P1(f329(f329(f241(x83581),f329(f329(f83(x83581),x83582),x83584)),f329(f329(f83(x83581),x83583),x83584)))
% 191.26/191.48 [8369]~P129(x83691)+P1(f329(f329(f241(x83691),x83694),f2(x83691)))+P1(f329(f329(f241(x83691),x83692),x83693))+~P1(f329(f329(f241(x83691),f329(f329(f83(x83691),x83692),x83694)),f329(f329(f83(x83691),x83693),x83694)))
% 191.26/191.48 [8370]~P129(x83701)+P1(f329(f329(f241(x83701),x83704),f2(x83701)))+P1(f329(f329(f241(x83701),x83702),x83703))+~P1(f329(f329(f241(x83701),f329(f329(f83(x83701),x83704),x83702)),f329(f329(f83(x83701),x83704),x83703)))
% 191.26/191.48 [8373]~P129(x83731)+P1(f329(f329(f241(x83731),x83732),x83733))+P1(f329(f329(f241(x83731),f2(x83731)),x83734))+~P1(f329(f329(f241(x83731),f329(f329(f83(x83731),x83734),x83733)),f329(f329(f83(x83731),x83734),x83732)))
% 191.26/191.48 [8374]~P129(x83741)+P1(f329(f329(f241(x83741),x83742),x83743))+P1(f329(f329(f241(x83741),f2(x83741)),x83744))+~P1(f329(f329(f241(x83741),f329(f329(f83(x83741),x83743),x83744)),f329(f329(f83(x83741),x83742),x83744)))
% 191.26/191.48 [8387]~P129(x83871)+P1(f329(f329(f241(x83871),x83872),f2(x83871)))+P1(f329(f329(f241(x83871),f2(x83871)),x83872))+~P1(f329(f329(f241(x83871),f329(f329(f83(x83871),x83873),x83872)),f329(f329(f83(x83871),x83874),x83872)))
% 191.26/191.48 [8388]~P129(x83881)+P1(f329(f329(f241(x83881),x83882),f2(x83881)))+P1(f329(f329(f241(x83881),f2(x83881)),x83882))+~P1(f329(f329(f241(x83881),f329(f329(f83(x83881),x83882),x83883)),f329(f329(f83(x83881),x83882),x83884)))
% 191.26/191.48 [8418]~P129(x84181)+~P1(f329(f329(f241(x84181),x84184),f2(x84181)))+P1(f329(f329(f240(x84181),x84182),x84183))+~P1(f329(f329(f240(x84181),f329(f329(f83(x84181),x84184),x84183)),f329(f329(f83(x84181),x84184),x84182)))
% 191.26/191.48 [8419]~P129(x84191)+~P1(f329(f329(f241(x84191),x84194),f2(x84191)))+P1(f329(f329(f241(x84191),x84192),x84193))+~P1(f329(f329(f241(x84191),f329(f329(f83(x84191),x84194),x84193)),f329(f329(f83(x84191),x84194),x84192)))
% 191.26/191.48 [8432]~P127(x84323)+~P1(f329(f329(f241(x84323),f80(x84323)),x84324))+P1(f329(f329(f240(a908),x84321),x84322))+~P1(f329(f329(f240(x84323),f329(f329(f249(x84323),x84324),x84321)),f329(f329(f249(x84323),x84324),x84322)))
% 191.26/191.48 [8434]~P127(x84343)+~P1(f329(f329(f241(x84343),f80(x84343)),x84344))+P1(f329(f329(f241(a908),x84341),x84342))+~P1(f329(f329(f241(x84343),f329(f329(f249(x84343),x84344),x84341)),f329(f329(f249(x84343),x84344),x84342)))
% 191.26/191.48 [8444]~P129(x84441)+P1(f329(f329(f240(x84441),x84442),x84443))+~P1(f329(f329(f241(x84441),f2(x84441)),x84444))+~P1(f329(f329(f240(x84441),f329(f329(f83(x84441),x84444),x84442)),f329(f329(f83(x84441),x84444),x84443)))
% 191.26/191.48 [8445]~P133(x84451)+P1(f329(f329(f240(x84451),x84452),x84453))+~P1(f329(f329(f241(x84451),f2(x84451)),x84454))+~P1(f329(f329(f240(x84451),f329(f329(f83(x84451),x84454),x84452)),f329(f329(f83(x84451),x84454),x84453)))
% 191.26/191.48 [8446]~P133(x84461)+P1(f329(f329(f240(x84461),x84462),x84463))+~P1(f329(f329(f241(x84461),f2(x84461)),x84464))+~P1(f329(f329(f240(x84461),f329(f329(f83(x84461),x84462),x84464)),f329(f329(f83(x84461),x84463),x84464)))
% 191.26/191.48 [8447]~P129(x84471)+P1(f329(f329(f241(x84471),x84472),x84473))+~P1(f329(f329(f241(x84471),f2(x84471)),x84474))+~P1(f329(f329(f241(x84471),f329(f329(f83(x84471),x84474),x84472)),f329(f329(f83(x84471),x84474),x84473)))
% 191.26/191.48 [8448]~P133(x84481)+P1(f329(f329(f241(x84481),x84482),x84483))+~P1(f329(f329(f240(x84481),f2(x84481)),x84484))+~P1(f329(f329(f241(x84481),f329(f329(f83(x84481),x84484),x84482)),f329(f329(f83(x84481),x84484),x84483)))
% 191.26/191.48 [8449]~P134(x84491)+P1(f329(f329(f241(x84491),x84492),x84493))+~P1(f329(f329(f240(x84491),f2(x84491)),x84494))+~P1(f329(f329(f241(x84491),f329(f329(f83(x84491),x84494),x84492)),f329(f329(f83(x84491),x84494),x84493)))
% 191.26/191.48 [8450]~P127(x84501)+~P1(f329(f329(f240(x84501),f2(x84501)),x84503))+P1(f329(f329(f241(x84501),x84502),x84503))+~P1(f329(f329(f241(x84501),f329(f329(f249(x84501),x84502),x84504)),f329(f329(f249(x84501),x84503),x84504)))
% 191.26/191.48 [8451]~P133(x84511)+P1(f329(f329(f241(x84511),x84512),x84513))+~P1(f329(f329(f240(x84511),f2(x84511)),x84514))+~P1(f329(f329(f241(x84511),f329(f329(f83(x84511),x84512),x84514)),f329(f329(f83(x84511),x84513),x84514)))
% 191.26/191.48 [8452]~P134(x84521)+P1(f329(f329(f241(x84521),x84522),x84523))+~P1(f329(f329(f240(x84521),f2(x84521)),x84524))+~P1(f329(f329(f241(x84521),f329(f329(f83(x84521),x84522),x84524)),f329(f329(f83(x84521),x84523),x84524)))
% 191.26/191.48 [8493]P1(f329(f329(f331(x84931),x84932),x84933))+~P1(f329(f329(f240(f916(x84931,a903)),x84933),x84934))+~P1(f329(f329(f241(f916(x84931,a903)),x84933),x84934))+P1(f329(f329(f241(f916(x84931,a903)),x84933),f329(f329(f311(x84931),x84932),x84934)))
% 191.26/191.48 [8872]E(f329(f329(f23(a1),f416(x88721,x88722,x88723,x88724)),f417(x88721,x88722,x88723,x88724)),x88724)+~P1(f329(f329(f241(a1),f2(a1)),x88723))+~P1(f329(f329(f240(a1),x88721),x88724))+P1(f329(f329(f240(a1),x88721),f329(f329(f82(a1),x88724),x88723)))
% 191.26/191.48 [8873]E(f329(f329(f23(a1),f436(x88731,x88732,x88733,x88734)),f437(x88731,x88732,x88733,x88734)),x88734)+~P1(f329(f329(f241(a1),f2(a1)),x88733))+~P1(f329(f329(f241(a1),x88731),x88734))+P1(f329(f329(f241(a1),x88731),f329(f329(f82(a1),x88734),x88733)))
% 191.26/191.48 [9018]~E(f329(f329(f167(x90181),x90183),f702(x90184,x90183,x90181,x90182)),f329(f329(f167(x90181),x90184),f702(x90184,x90183,x90181,x90182)))+E(f329(f329(f178(x90181),x90182),x90183),f329(f329(f178(x90181),x90182),x90184))+~P1(f329(f329(f240(a908),x90182),f329(f192(f909(x90181)),x90183)))+~P1(f329(f329(f240(a908),x90182),f329(f192(f909(x90181)),x90184)))
% 191.26/191.48 [9085]~P1(f329(f329(f241(a1),f2(a1)),x90853))+~P1(f329(f329(f240(a1),x90851),x90854))+P1(f329(f329(f331(a1),f416(x90851,x90852,x90853,x90854)),x90852))+P1(f329(f329(f240(a1),x90851),f329(f329(f82(a1),x90854),x90853)))
% 191.26/191.48 [9086]~P1(f329(f329(f241(a1),f2(a1)),x90863))+~P1(f329(f329(f241(a1),x90861),x90864))+P1(f329(f329(f331(a1),f436(x90861,x90862,x90863,x90864)),x90862))+P1(f329(f329(f241(a1),x90861),f329(f329(f82(a1),x90864),x90863)))
% 191.26/191.48 [9126]~P104(x91261)+~P1(f329(f62(x91261),x91263))+~P1(f329(f329(f331(x91261),x91264),x91263))+P1(f329(f329(f240(x91261),f329(f329(f65(x91261,x91261,f106(x91261)),x91262),x91263)),f329(f329(f106(x91261),x91264),x91262)))
% 191.26/191.48 [9127]~P112(x91271)+~P1(f329(f62(x91271),x91273))+~P1(f329(f329(f331(x91271),x91274),x91273))+P1(f329(f329(f240(x91271),f329(f329(f65(x91271,x91271,f238(x91271)),x91272),x91273)),f329(f329(f238(x91271),x91274),x91272)))
% 191.26/191.48 [9174]E(f329(f329(f178(x91741),x91742),x91743),f329(f329(f178(x91741),x91742),x91744))+P1(f329(f329(f241(a908),f702(x91743,x91744,x91741,x91742)),x91742))+~P1(f329(f329(f240(a908),x91742),f329(f192(f909(x91741)),x91743)))+~P1(f329(f329(f240(a908),x91742),f329(f192(f909(x91741)),x91744)))
% 191.26/191.48 [9179]~P1(f329(f329(f241(a1),f2(a1)),x91793))+~P1(f329(f329(f240(a1),x91791),x91792))+P1(f329(f329(f331(a1),f417(x91791,x91794,x91793,x91792)),f305(a1,f80(a1),x91793)))+P1(f329(f329(f240(a1),x91791),f329(f329(f82(a1),x91792),x91793)))
% 191.26/191.48 [9180]~P1(f329(f329(f241(a1),f2(a1)),x91803))+~P1(f329(f329(f241(a1),x91801),x91802))+P1(f329(f329(f331(a1),f437(x91801,x91804,x91803,x91802)),f305(a1,f80(a1),x91803)))+P1(f329(f329(f241(a1),x91801),f329(f329(f82(a1),x91802),x91803)))
% 191.26/191.48 [9506]~P112(x95061)+~P1(f329(f62(x95061),x95064))+P1(f329(f329(f331(x95061),f653(x95062,x95063,x95064,x95061)),x95064))+P1(f329(f329(f240(x95061),f329(f329(f65(x95061,x95061,f239(x95061)),x95062),x95064)),f329(f329(f239(x95061),x95063),x95062)))
% 191.26/191.48 [9507]~P103(x95071)+~P1(f329(f62(x95071),x95074))+P1(f329(f329(f331(x95071),f658(x95072,x95073,x95074,x95071)),x95074))+P1(f329(f329(f240(x95071),f329(f329(f65(x95071,x95071,f115(x95071)),x95072),x95074)),f329(f329(f115(x95071),x95073),x95072)))
% 191.26/191.48 [9635]~P103(x96351)+~P1(f329(f62(x96351),x96353))+~P1(f329(f329(f240(x96351),f658(x96352,x96354,x96353,x96351)),x96354))+P1(f329(f329(f240(x96351),f329(f329(f65(x96351,x96351,f115(x96351)),x96352),x96353)),f329(f329(f115(x96351),x96354),x96352)))
% 191.26/191.48 [9636]~P112(x96361)+~P1(f329(f62(x96361),x96363))+~P1(f329(f329(f240(x96361),f653(x96362,x96364,x96363,x96361)),x96364))+P1(f329(f329(f240(x96361),f329(f329(f65(x96361,x96361,f239(x96361)),x96362),x96363)),f329(f329(f239(x96361),x96364),x96362)))
% 191.26/191.48 [9638]~P1(f329(f329(f240(a1),f2(a1)),x96384))+~P1(f329(f329(f241(a1),f2(a1)),x96383))+~P1(f329(f329(f241(a1),x96384),x96381))+P1(f329(f329(f241(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96381),f46(a1,x96382,x96383))),x96384)),f329(f329(f83(a1),x96381),x96383)))
% 191.26/191.48 [10024]E(x100241,x100242)+P1(f329(f329(f331(f915(f909(x100243),f909(x100243))),f329(f329(f257(f909(x100243),f909(x100243)),x100242),x100241)),f150(x100243,x100244)))+P1(f329(f329(f331(f915(f909(x100243),f909(x100243))),f329(f329(f257(f909(x100243),f909(x100243)),x100241),x100242)),f150(x100243,x100244)))+~P1(f329(f329(f331(f915(x100243,x100243)),f329(f329(f257(x100243,x100243),f675(x100241,x100242,x100244,x100243)),f677(x100241,x100242,x100244,x100243))),x100244))
% 191.26/191.48 [10025]E(x100251,x100252)+P1(f329(f329(f331(f915(f909(x100253),f909(x100253))),f329(f329(f257(f909(x100253),f909(x100253)),x100252),x100251)),f150(x100253,x100254)))+P1(f329(f329(f331(f915(f909(x100253),f909(x100253))),f329(f329(f257(f909(x100253),f909(x100253)),x100251),x100252)),f150(x100253,x100254)))+~P1(f329(f329(f331(f915(x100253,x100253)),f329(f329(f257(x100253,x100253),f677(x100251,x100252,x100254,x100253)),f675(x100251,x100252,x100254,x100253))),x100254))
% 191.26/191.48 [7566]~P103(x75661)+~P1(f329(f329(f240(x75661),x75663),x75664))+~P1(f329(f329(f240(x75661),x75662),x75664))+P1(f329(f329(f240(x75661),f329(f329(f115(x75661),x75662),x75663)),x75664))
% 191.26/191.48 [7569]~P112(x75691)+~P1(f329(f329(f240(x75691),x75693),x75694))+~P1(f329(f329(f240(x75691),x75692),x75694))+P1(f329(f329(f240(x75691),f329(f329(f239(x75691),x75692),x75693)),x75694))
% 191.26/191.48 [7570]~P112(x75701)+~P1(f329(f329(f241(x75701),x75703),x75704))+~P1(f329(f329(f241(x75701),x75702),x75704))+P1(f329(f329(f241(x75701),f329(f329(f239(x75701),x75702),x75703)),x75704))
% 191.26/191.48 [7887]~E(x78871,x78873)+E(f142(a908,f329(f304(a908,x78871),x78872)),f329(f329(f154(a908),x78873),x78874))+~E(f142(a908,f329(f304(a908,f329(f329(f82(a908),x78871),f80(a908))),x78872)),x78874)+~P1(f329(f329(f241(a908),x78871),x78872))
% 191.26/191.48 [7897]~P112(x78971)+P1(f329(f329(f240(x78971),x78972),x78973))+P1(f329(f329(f240(x78971),x78974),x78973))+~P1(f329(f329(f240(x78971),f329(f329(f238(x78971),x78974),x78972)),x78973))
% 191.26/191.48 [7898]~P112(x78981)+P1(f329(f329(f241(x78981),x78982),x78983))+P1(f329(f329(f241(x78981),x78984),x78983))+~P1(f329(f329(f241(x78981),f329(f329(f238(x78981),x78984),x78982)),x78983))
% 191.26/191.48 [8189]~P73(x81891)+~P1(f329(f329(f241(x81891),f2(x81891)),x81893))+~P1(f329(f329(f240(x81891),x81892),f329(f329(f292(x81891),x81894),x81893)))+P1(f329(f329(f240(x81891),f329(f329(f83(x81891),x81892),x81893)),x81894))
% 191.26/191.48 [8190]~P74(x81901)+~P1(f329(f329(f241(x81901),f2(x81901)),x81903))+~P1(f329(f329(f240(x81901),x81902),f329(f329(f292(x81901),x81904),x81903)))+P1(f329(f329(f240(x81901),f329(f329(f83(x81901),x81902),x81903)),x81904))
% 191.26/191.48 [8191]~P73(x81911)+~P1(f329(f329(f241(x81911),f2(x81911)),x81913))+~P1(f329(f329(f240(x81911),x81912),f329(f329(f83(x81911),x81914),x81913)))+P1(f329(f329(f240(x81911),f329(f329(f292(x81911),x81912),x81913)),x81914))
% 191.26/191.48 [8193]~P74(x81931)+~P1(f329(f329(f241(x81931),f2(x81931)),x81933))+~P1(f329(f329(f240(x81931),x81932),f329(f329(f83(x81931),x81934),x81933)))+P1(f329(f329(f240(x81931),f329(f329(f292(x81931),x81932),x81933)),x81934))
% 191.26/191.48 [8194]~P73(x81941)+~P1(f329(f329(f241(x81941),f2(x81941)),x81943))+~P1(f329(f329(f241(x81941),x81942),f329(f329(f292(x81941),x81944),x81943)))+P1(f329(f329(f241(x81941),f329(f329(f83(x81941),x81942),x81943)),x81944))
% 191.26/191.48 [8195]~P74(x81951)+~P1(f329(f329(f241(x81951),f2(x81951)),x81953))+~P1(f329(f329(f241(x81951),x81952),f329(f329(f292(x81951),x81954),x81953)))+P1(f329(f329(f241(x81951),f329(f329(f83(x81951),x81952),x81953)),x81954))
% 191.26/191.48 [8196]~P73(x81961)+~P1(f329(f329(f241(x81961),f2(x81961)),x81963))+~P1(f329(f329(f241(x81961),x81962),f329(f329(f83(x81961),x81964),x81963)))+P1(f329(f329(f241(x81961),f329(f329(f292(x81961),x81962),x81963)),x81964))
% 191.26/191.48 [8198]~P74(x81981)+~P1(f329(f329(f241(x81981),f2(x81981)),x81983))+~P1(f329(f329(f241(x81981),x81982),f329(f329(f83(x81981),x81984),x81983)))+P1(f329(f329(f241(x81981),f329(f329(f292(x81981),x81982),x81983)),x81984))
% 191.26/191.48 [8326]~P73(x83261)+~P1(f329(f329(f241(x83261),f2(x83261)),x83264))+P1(f329(f329(f240(x83261),x83262),f329(f329(f83(x83261),x83263),x83264)))+~P1(f329(f329(f240(x83261),f329(f329(f292(x83261),x83262),x83264)),x83263))
% 191.26/191.48 [8327]~P73(x83271)+~P1(f329(f329(f241(x83271),f2(x83271)),x83274))+P1(f329(f329(f240(x83271),x83272),f329(f329(f292(x83271),x83273),x83274)))+~P1(f329(f329(f240(x83271),f329(f329(f83(x83271),x83272),x83274)),x83273))
% 191.26/191.48 [8329]~P74(x83291)+~P1(f329(f329(f241(x83291),f2(x83291)),x83294))+P1(f329(f329(f240(x83291),x83292),f329(f329(f83(x83291),x83293),x83294)))+~P1(f329(f329(f240(x83291),f329(f329(f292(x83291),x83292),x83294)),x83293))
% 191.26/191.48 [8330]~P74(x83301)+~P1(f329(f329(f241(x83301),f2(x83301)),x83304))+P1(f329(f329(f240(x83301),x83302),f329(f329(f292(x83301),x83303),x83304)))+~P1(f329(f329(f240(x83301),f329(f329(f83(x83301),x83302),x83304)),x83303))
% 191.26/191.48 [8331]~P73(x83311)+~P1(f329(f329(f241(x83311),f2(x83311)),x83314))+P1(f329(f329(f241(x83311),x83312),f329(f329(f83(x83311),x83313),x83314)))+~P1(f329(f329(f241(x83311),f329(f329(f292(x83311),x83312),x83314)),x83313))
% 191.26/191.48 [8332]~P73(x83321)+~P1(f329(f329(f241(x83321),f2(x83321)),x83324))+P1(f329(f329(f241(x83321),x83322),f329(f329(f292(x83321),x83323),x83324)))+~P1(f329(f329(f241(x83321),f329(f329(f83(x83321),x83322),x83324)),x83323))
% 191.26/191.48 [8334]~P74(x83341)+~P1(f329(f329(f241(x83341),f2(x83341)),x83344))+P1(f329(f329(f241(x83341),x83342),f329(f329(f83(x83341),x83343),x83344)))+~P1(f329(f329(f241(x83341),f329(f329(f292(x83341),x83342),x83344)),x83343))
% 191.26/191.48 [8335]~P74(x83351)+~P1(f329(f329(f241(x83351),f2(x83351)),x83354))+P1(f329(f329(f241(x83351),x83352),f329(f329(f292(x83351),x83353),x83354)))+~P1(f329(f329(f241(x83351),f329(f329(f83(x83351),x83352),x83354)),x83353))
% 191.26/191.48 [8497]~P74(x84971)+~P1(f329(f329(f241(x84971),x84973),f2(x84971)))+~P1(f329(f329(f240(x84971),f329(f329(f292(x84971),x84974),x84973)),x84972))+P1(f329(f329(f240(x84971),f329(f329(f83(x84971),x84972),x84973)),x84974))
% 191.26/191.48 [8498]~P74(x84981)+~P1(f329(f329(f241(x84981),x84983),f2(x84981)))+~P1(f329(f329(f240(x84981),f329(f329(f83(x84981),x84984),x84983)),x84982))+P1(f329(f329(f240(x84981),f329(f329(f292(x84981),x84982),x84983)),x84984))
% 191.26/191.48 [8499]~P74(x84991)+~P1(f329(f329(f241(x84991),x84993),f2(x84991)))+~P1(f329(f329(f241(x84991),f329(f329(f292(x84991),x84994),x84993)),x84992))+P1(f329(f329(f241(x84991),f329(f329(f83(x84991),x84992),x84993)),x84994))
% 191.26/191.48 [8500]~P74(x85001)+~P1(f329(f329(f241(x85001),x85003),f2(x85001)))+~P1(f329(f329(f241(x85001),f329(f329(f83(x85001),x85004),x85003)),x85002))+P1(f329(f329(f241(x85001),f329(f329(f292(x85001),x85002),x85003)),x85004))
% 191.26/191.48 [8512]~P1(f329(x85121,x85124))+~P1(f329(f329(f241(a908),x85122),f329(f329(f83(a908),x85123),f329(a117,x85124))))+P1(f329(x85121,f329(f329(f37(a908),x85122),x85123)))+~P1(f329(f329(f240(a908),f329(f329(f83(a908),x85123),x85124)),x85122))
% 191.26/191.48 [8733]~P103(x87331)+~P1(f329(f62(x87331),x87334))+~P1(f329(f329(f331(x87331),x87332),x87334))+P1(f329(f329(f240(x87331),f329(f329(f115(x87331),x87332),x87333)),f329(f329(f65(x87331,x87331,f115(x87331)),x87333),x87334)))
% 191.26/191.48 [8734]~P112(x87341)+~P1(f329(f62(x87341),x87344))+~P1(f329(f329(f331(x87341),x87342),x87344))+P1(f329(f329(f240(x87341),f329(f329(f239(x87341),x87342),x87343)),f329(f329(f65(x87341,x87341,f239(x87341)),x87343),x87344)))
% 191.26/191.48 [8874]~P1(f329(f62(x88741),x88742))+E(f329(f36(x88741),f329(f329(f23(f916(x88741,a903)),x88742),f329(f329(f311(x88741),x88743),x88744))),f329(f329(f23(a908),f329(f36(x88741),f329(f329(f23(f916(x88741,a903)),x88742),x88744))),f80(a908)))+P1(f329(f329(f331(x88741),x88743),x88744))+~P1(f329(f329(f331(x88741),x88743),x88742))
% 191.26/191.48 [8947]E(f329(f329(f82(a1),f420(x89471,x89472,x89473,x89474)),f421(x89471,x89472,x89473,x89474)),x89474)+~P1(f329(f329(f241(a1),f2(a1)),x89473))+~P1(f329(f329(f240(a1),x89474),x89471))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x89474),x89473)),x89471))
% 191.26/191.48 [8948]E(f329(f329(f82(a1),f434(x89481,x89482,x89483,x89484)),f435(x89481,x89482,x89483,x89484)),x89484)+~P1(f329(f329(f241(a1),f2(a1)),x89483))+~P1(f329(f329(f241(a1),x89484),x89481))+P1(f329(f329(f241(a1),f329(f329(f23(a1),x89484),x89483)),x89481))
% 191.26/191.48 [9159]~P1(f329(f329(f241(a1),f2(a1)),x91593))+~P1(f329(f329(f240(a1),x91594),x91591))+P1(f329(f329(f331(a1),f420(x91591,x91592,x91593,x91594)),x91592))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x91594),x91593)),x91591))
% 191.26/191.48 [9160]~P1(f329(f329(f241(a1),f2(a1)),x91603))+~P1(f329(f329(f241(a1),x91604),x91601))+P1(f329(f329(f331(a1),f434(x91601,x91602,x91603,x91604)),x91602))+P1(f329(f329(f241(a1),f329(f329(f23(a1),x91604),x91603)),x91601))
% 191.26/191.48 [9246]~P1(f329(f329(f241(a1),f2(a1)),x92462))+~P1(f329(f329(f240(a1),x92461),x92463))+P1(f329(f329(f331(a1),f421(x92463,x92464,x92462,x92461)),f305(a1,f80(a1),x92462)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x92461),x92462)),x92463))
% 191.26/191.48 [9247]~P1(f329(f329(f241(a1),f2(a1)),x92472))+~P1(f329(f329(f241(a1),x92471),x92473))+P1(f329(f329(f331(a1),f435(x92473,x92474,x92472,x92471)),f305(a1,f80(a1),x92472)))+P1(f329(f329(f241(a1),f329(f329(f23(a1),x92471),x92472)),x92473))
% 191.26/191.48 [9272]~P1(f329(f329(f240(a1),f2(a1)),x92724))+~P1(f329(f329(f241(a1),f2(a1)),x92723))+~P1(f329(f329(f241(a1),x92724),x92721))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92721),f46(a1,x92722,x92723))),x92724)))
% 191.26/191.48 [9303]E(x93031,x93032)+~P45(x93033,x93034)+~P1(f329(f329(f331(f915(x93033,x93033)),f329(f329(f257(x93033,x93033),x93032),x93031)),x93034))+~P1(f329(f329(f331(f915(x93033,x93033)),f329(f329(f257(x93033,x93033),x93031),x93032)),x93034))
% 191.26/191.48 [9337]~P104(x93371)+~P1(f329(f62(x93371),x93374))+~P1(f329(f329(f240(x93371),x93372),f657(x93373,x93372,x93374,x93371)))+P1(f329(f329(f240(x93371),f329(f329(f106(x93371),x93372),x93373)),f329(f329(f65(x93371,x93371,f106(x93371)),x93373),x93374)))
% 191.26/191.48 [9338]~P112(x93381)+~P1(f329(f62(x93381),x93384))+~P1(f329(f329(f240(x93381),x93382),f652(x93383,x93382,x93384,x93381)))+P1(f329(f329(f240(x93381),f329(f329(f238(x93381),x93382),x93383)),f329(f329(f65(x93381,x93381,f238(x93381)),x93383),x93384)))
% 191.26/191.48 [9352]~P1(f329(f329(f240(a1),x93524),f2(a1)))+~P1(f329(f329(f241(a1),f2(a1)),x93522))+~P1(f329(f329(f241(a1),x93521),x93524))+P1(f329(f329(f241(a1),f329(f329(f83(a1),x93521),x93522)),f329(f329(f82(a1),f329(f329(f83(a1),x93521),f46(a1,x93523,x93522))),x93524)))
% 191.26/191.48 [9375]P1(f329(f62(x93751),x93752))+~P1(f329(f62(x93751),x93753))+~P1(f329(f329(f331(f916(x93751,a903)),x93752),f329(f329(f61(x93751),x93753),x93754)))+~P1(f329(f329(f240(f916(f915(x93751,x93751),a903)),x93754),f329(f329(f259(x93751,x93751),x93753),f329(f16(f916(x93751,a903),x93751),x93753))))
% 191.26/191.48 [9399]~P112(x93991)+~P1(f329(f62(x93991),x93994))+P1(f329(f329(f331(x93991),f652(x93992,x93993,x93994,x93991)),x93994))+P1(f329(f329(f240(x93991),f329(f329(f238(x93991),x93993),x93992)),f329(f329(f65(x93991,x93991,f238(x93991)),x93992),x93994)))
% 191.26/191.48 [9400]~P104(x94001)+~P1(f329(f62(x94001),x94004))+P1(f329(f329(f331(x94001),f657(x94002,x94003,x94004,x94001)),x94004))+P1(f329(f329(f240(x94001),f329(f329(f106(x94001),x94003),x94002)),f329(f329(f65(x94001,x94001,f106(x94001)),x94002),x94004)))
% 191.26/191.48 [9411]~P46(f916(x94111,a903),f916(x94111,a903),x94113)+~P1(f329(f329(f331(x94111),x94112),x94114))+P1(f329(f329(f331(x94111),x94112),f101(f916(x94111,a903),x94113)))+~P1(f329(f329(f240(f916(x94111,a903)),x94114),f329(x94113,f329(f329(f115(f916(x94111,a903)),x94114),f101(f916(x94111,a903),x94113)))))
% 191.26/191.48 [9590]~P46(f916(x95903,a903),f916(x95903,a903),x95904)+P1(f329(x95901,x95902))+~P1(f329(f329(f331(x95903),x95902),f100(f916(x95903,a903),x95904)))+P1(f329(f329(f331(x95903),f540(x95901,x95904,x95902,x95903)),f329(x95904,f329(f329(f106(f916(x95903,a903)),f100(f916(x95903,a903),x95904)),f329(f267(x95903),x95901)))))
% 191.26/191.48 [9803]~P1(f329(f62(x98032),x98034))+~P1(f329(f62(x98031),x98033))+~P1(f329(f329(f240(a908),f329(f36(x98032),x98034)),f329(f36(x98031),x98033)))+P1(f329(f329(f240(f916(x98031,a903)),f329(f312(x98032,x98031,f859(x98033,x98031,x98034,x98032)),x98034)),x98033))
% 191.26/191.48 [9448]~P1(f329(f329(f331(x94481),x94482),x94484))+P1(f329(f329(f331(x94481),x94482),x94483))+~P1(f329(f329(f241(f916(x94481,a903)),x94484),f329(f329(f311(x94481),x94482),x94483)))+P1(f329(f329(f241(f916(x94481,a903)),f329(f329(f23(f916(x94481,a903)),x94484),f329(f329(f311(x94481),x94482),f191(f916(x94481,a903))))),x94483))
% 191.26/191.48 [9615]~P1(f329(f329(f331(x96151),x96152),x96154))+P1(f329(f329(f331(x96151),x96152),x96153))+P1(f329(f329(f241(f916(x96151,a903)),x96154),f329(f329(f311(x96151),x96152),x96153)))+~P1(f329(f329(f241(f916(x96151,a903)),f329(f329(f23(f916(x96151,a903)),x96154),f329(f329(f311(x96151),x96152),f191(f916(x96151,a903))))),x96153))
% 191.26/191.48 [9641]P1(f329(f329(f331(x96411),x96412),x96413))+~P1(f329(f329(f240(f916(x96411,a903)),x96414),x96413))+P1(f329(f329(f241(f916(x96411,a903)),x96414),f329(f329(f311(x96411),x96412),x96413)))+~P1(f329(f329(f241(f916(x96411,a903)),f329(f329(f23(f916(x96411,a903)),x96414),f329(f329(f311(x96411),x96412),f191(f916(x96411,a903))))),x96413))
% 191.26/191.48 [9646]~P1(f329(f329(f331(x96461),x96463),x96462))+~P1(f329(f329(f241(f916(x96461,a903)),x96462),x96464))+P1(f329(f329(f241(f916(x96461,a903)),x96462),f329(f329(f311(x96461),x96463),x96464)))+~P1(f329(f329(f241(f916(x96461,a903)),f329(f329(f23(f916(x96461,a903)),x96462),f329(f329(f311(x96461),x96463),f191(f916(x96461,a903))))),x96464))
% 191.26/191.48 [9661]~P1(f329(f329(f240(f916(x96611,a903)),x96612),x96614))+~P1(f329(f329(f241(f916(x96611,a903)),x96612),x96614))+P1(f329(f329(f241(f916(x96611,a903)),x96612),f329(f329(f311(x96611),x96613),x96614)))+~P1(f329(f329(f241(f916(x96611,a903)),f329(f329(f23(f916(x96611,a903)),x96612),f329(f329(f311(x96611),x96613),f191(f916(x96611,a903))))),x96614))
% 191.26/191.48 [9706]~P114(x97062)+~P70(x97061)+~P1(f329(f329(f240(f916(x97061,x97062)),x97063),x97064))+P1(f329(f58(x97061),f329(f329(f18(x97061,x97062,a903),f329(f329(f8(x97062,f916(x97062,a903),x97061),f240(x97062)),x97063)),x97064)))
% 191.26/191.48 [9851]~P114(x98512)+~P70(x98511)+P1(f329(f329(f240(f916(x98511,x98512)),x98513),x98514))+~P1(f329(f58(x98511),f329(f329(f18(x98511,x98512,a903),f329(f329(f8(x98512,f916(x98512,a903),x98511),f240(x98512)),x98513)),x98514)))
% 191.26/191.48 [10336]~P46(f916(x103361,a903),f916(x103361,a903),x103363)+~P1(f329(f329(f331(x103361),x103362),x103364))+P1(f329(f329(f331(x103361),x103362),f101(f916(x103361,a903),x103363)))+~P1(f329(f329(f240(f916(x103361,a903)),x103364),f329(x103363,f100(f916(x103361,a903),f329(f329(f7(f916(x103361,a903),f916(x103361,a903),f916(x103361,a903)),f329(f329(f8(f916(x103361,a903),f916(f916(x103361,a903),f916(x103361,a903)),f916(x103361,a903)),f115(f916(x103361,a903))),f329(f329(f7(f916(x103361,a903),f916(x103361,a903),f916(x103361,a903)),f329(f329(f8(f916(x103361,a903),f916(f916(x103361,a903),f916(x103361,a903)),f916(x103361,a903)),f115(f916(x103361,a903))),x103363)),x103364))),f101(f916(x103361,a903),x103363))))))
% 191.26/191.48 [10015]E(f329(f329(f167(x100151),f329(f329(f167(f909(x100151)),f182(x100151,x100152)),x100153)),x100154),f329(f329(f167(x100151),f329(f329(f167(f909(x100151)),x100152),x100154)),x100153))+~P1(f329(f329(f241(a908),x100153),f329(f192(f909(f909(x100151))),f182(x100151,x100152))))+~P18(a908,f329(f171(a908),f329(f329(f157(f909(x100151),a908),f192(f909(x100151))),x100152)))+~P1(f329(f329(f241(a908),x100154),f329(f192(f909(f909(x100151))),f329(f139(f909(x100151),f329(f329(f8(a908,a903,f909(x100151)),f329(f241(a908),x100153)),f192(f909(x100151)))),x100152))))
% 191.26/191.48 [10036]~P1(f329(f329(f331(f915(a908,a908)),x100364),x100361))+~P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),x100364),x100362)),a34))+~P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x100361),x100363)),a70))+P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x100361),f329(f329(f311(f915(a908,a908)),x100362),x100363))),a70))
% 191.26/191.48 [10037]~P1(f329(f329(f331(f915(a908,a908)),x100374),x100371))+~P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),x100374),x100372)),a72))+~P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x100371),x100373)),a73))+P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x100371),f329(f329(f311(f915(a908,a908)),x100372),x100373))),a73))
% 191.26/191.48 [9930]~P114(x99302)+~P70(x99301)+~P1(f329(f329(f241(f916(x99301,x99302)),x99303),x99304))+P1(f329(f57(x99301),f329(f329(f8(a903,a903,x99301),a324),f329(f329(f18(x99301,x99302,a903),f329(f329(f8(x99302,f916(x99302,a903),x99301),a326),x99303)),x99304))))
% 191.26/191.48 [10050]~P1(f329(f329(f331(f915(a908,a908)),x100504),x100503))+~P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),x100501),x100504)),a34))+~P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x100502),x100503)),a35))+P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),f329(f329(f311(f915(a908,a908)),x100501),x100502)),x100503)),a35))
% 191.26/191.48 [10051]~P1(f329(f329(f331(f915(a908,a908)),x100514),x100513))+~P1(f329(f329(f331(f915(f915(a908,a908),f915(a908,a908))),f329(f329(f257(f915(a908,a908),f915(a908,a908)),x100511),x100514)),a72))+~P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),x100512),x100513)),a71))+P1(f329(f329(f331(f915(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903))),f329(f329(f257(f916(f915(a908,a908),a903),f916(f915(a908,a908),a903)),f329(f329(f311(f915(a908,a908)),x100511),x100512)),x100513)),a71))
% 191.26/191.48 [6147]~P12(x61474,x61471)+~P1(f329(f329(x61471,x61472),x61475))+P1(f329(f329(x61471,x61472),x61473))+~P1(f329(f329(x61471,x61475),x61473))
% 191.26/191.48 [6148]~P57(x61484,x61481)+~P1(f329(f329(x61481,x61482),x61485))+P1(f329(f329(x61481,x61482),x61483))+~P1(f329(f329(x61481,x61485),x61483))
% 191.26/191.48 [6149]~P20(x61494,x61491)+~P1(f329(f329(x61491,x61492),x61495))+P1(f329(f329(x61491,x61492),x61493))+~P1(f329(f329(x61491,x61495),x61493))
% 191.26/191.48 [9695]~P44(x96951,x96954)+P1(f329(f329(f331(f915(f909(x96951),f909(x96951))),f329(f329(f257(f909(x96951),f909(x96951)),x96952),x96953)),f150(x96951,x96954)))+~P1(f329(f329(f331(f915(f909(x96951),f909(x96951))),f329(f329(f257(f909(x96951),f909(x96951)),x96952),x96955)),f150(x96951,x96954)))+~P1(f329(f329(f331(f915(f909(x96951),f909(x96951))),f329(f329(f257(f909(x96951),f909(x96951)),x96955),x96953)),f150(x96951,x96954)))
% 191.26/191.48 [5394]~P75(x53945)+E(x53941,x53942)+~E(x53943,x53944)+~E(f329(f329(f23(x53945),x53943),x53944),f329(f329(f23(x53945),x53941),x53942))
% 191.26/191.48 [6262]~P22(x62625,x62621,x62623)+E(f329(f329(x62621,x62622),f329(x62623,x62624)),f329(x62623,x62624))+~P1(f329(f62(x62625),x62624))+~P1(f329(f329(f331(x62625),x62622),x62624))
% 191.26/191.48 [6449]~P86(x64491)+~E(f329(f329(f23(x64491),x64494),x64495),f329(f329(f23(x64491),x64492),x64493))+~P1(f329(f329(f240(x64491),x64494),x64495))+P1(f329(f329(f240(x64491),x64492),x64493))
% 191.26/191.48 [6451]~P86(x64511)+~E(f329(f329(f23(x64511),x64514),x64515),f329(f329(f23(x64511),x64512),x64513))+~P1(f329(f329(f241(x64511),x64514),x64515))+P1(f329(f329(f241(x64511),x64512),x64513))
% 191.26/191.48 [7422]~E(x74222,f329(f329(f154(x74221),x74224),x74225))+P1(f329(f329(f331(f909(x74221)),x74222),f164(x74221,x74223)))+~P1(f329(f329(f331(f909(x74221)),x74225),f164(x74221,x74223)))+~P1(f329(f329(f331(x74221),x74224),x74223))
% 191.26/191.48 [7836]~E(f329(f192(f909(x78361)),x78363),f329(f192(f909(x78362)),x78364))+~E(f329(f329(f157(f915(x78361,x78362),x78362),f261(x78361,x78362)),x78365),x78364)+~E(f329(f329(f157(f915(x78361,x78362),x78361),f256(x78361,x78362)),x78365),x78363)+E(f329(f329(f184(x78361,x78362),x78363),x78364),x78365)
% 191.26/191.48 [8186]~P114(x81861)+P1(f329(f329(f241(f916(x81861,a903)),f305(x81861,x81862,x81863)),f305(x81861,x81864,x81865)))+~P1(f329(f329(f240(x81861),x81864),x81865))+P1(f329(f329(f240(x81861),x81862),x81863))
% 191.26/191.48 [8283]~P114(x82831)+P1(f329(f329(f240(f916(x82831,a903)),f305(x82831,x82832,x82833)),f305(x82831,x82834,x82835)))+~P1(f329(f329(f240(x82831),x82833),x82835))+~P1(f329(f329(f240(x82831),x82834),x82832))
% 191.26/191.48 [8403]~P112(x84031)+P1(f329(f329(f240(x84031),x84032),x84033))+P1(f329(f329(f240(x84031),x84034),x84033))+~P1(f329(f329(f240(f916(x84031,a903)),f329(f304(x84031,x84033),x84032)),f329(f304(x84031,x84034),x84035)))
% 191.26/191.48 [8404]~P112(x84041)+P1(f329(f329(f240(x84041),x84042),x84043))+P1(f329(f329(f240(x84041),x84042),x84044))+~P1(f329(f329(f240(f916(x84041,a903)),f329(f304(x84041,x84043),x84042)),f329(f304(x84041,x84045),x84044)))
% 191.26/191.48 [8576]~P104(x85763)+~P104(x85761)+~P46(x85763,x85761,x85762)+P1(f329(f329(f240(x85761),f329(x85762,f329(f329(f106(x85763),x85764),x85765))),f329(f329(f106(x85761),f329(x85762,x85764)),f329(x85762,x85765))))
% 191.26/191.48 [8577]~P112(x85773)+~P104(x85771)+~P46(x85773,x85771,x85772)+P1(f329(f329(f240(x85771),f329(x85772,f329(f329(f238(x85773),x85774),x85775))),f329(f329(f106(x85771),f329(x85772,x85774)),f329(x85772,x85775))))
% 191.26/191.48 [8652]~P114(x86521)+~P1(f329(f329(f240(f916(x86521,a903)),f305(x86521,x86524,x86522)),f305(x86521,x86525,x86523)))+P1(f329(f329(f240(x86521),x86522),x86523))+~P1(f329(f329(f240(x86521),x86524),x86522))
% 191.26/191.48 [8653]~P114(x86531)+~P1(f329(f329(f241(f916(x86531,a903)),f305(x86531,x86534,x86532)),f305(x86531,x86535,x86533)))+P1(f329(f329(f240(x86531),x86532),x86533))+~P1(f329(f329(f240(x86531),x86534),x86532))
% 191.26/191.48 [8654]~P114(x86541)+~P1(f329(f329(f240(f916(x86541,a903)),f305(x86541,x86543,x86544)),f305(x86541,x86542,x86545)))+P1(f329(f329(f240(x86541),x86542),x86543))+~P1(f329(f329(f240(x86541),x86543),x86544))
% 191.26/191.48 [8655]~P114(x86551)+~P1(f329(f329(f241(f916(x86551,a903)),f305(x86551,x86553,x86554)),f305(x86551,x86552,x86555)))+P1(f329(f329(f240(x86551),x86552),x86553))+~P1(f329(f329(f240(x86551),x86553),x86554))
% 191.26/191.48 [6095]~P112(x60955)+~P112(x60951)+~P46(x60955,x60951,x60952)+E(f329(f329(f238(x60951),f329(x60952,x60953)),f329(x60952,x60954)),f329(x60952,f329(f329(f238(x60955),x60953),x60954)))
% 191.26/191.48 [6096]~P112(x60965)+~P112(x60961)+~P46(x60965,x60961,x60962)+E(f329(f329(f239(x60961),f329(x60962,x60963)),f329(x60962,x60964)),f329(x60962,f329(f329(f239(x60965),x60963),x60964)))
% 191.26/191.48 [6146]~P22(x61462,x61465,x61463)+E(x61461,f191(f916(x61462,a903)))+~P1(f329(f62(x61462),x61461))+E(f329(x61463,f329(f329(f311(x61462),x61464),x61461)),f329(f329(x61465,x61464),f329(x61463,x61461)))
% 191.26/191.48 [6919]~E(x69191,x69192)+~E(f329(f329(f106(f916(x69193,a903)),x69194),x69195),f191(f916(x69193,a903)))+~P1(f329(f329(f331(x69193),x69192),x69195))+~P1(f329(f329(f331(x69193),x69191),x69194))
% 191.26/191.48 [6997]~P23(x69972,x69975,x69971)+~P1(f329(f62(x69972),x69974))+E(f329(x69971,f329(f329(f311(x69972),x69973),x69974)),f329(f329(f65(x69972,x69972,x69975),x69973),x69974))+P1(f329(f329(f331(x69972),x69973),x69974))
% 191.26/191.48 [7065]~P80(x70652)+~P1(f329(f62(x70651),x70655))+E(f329(f329(f9(x70651,x70652),x70653),f329(f329(f311(x70651),x70654),x70655)),f329(f329(f83(x70652),f329(x70653,x70654)),f329(f329(f9(x70651,x70652),x70653),x70655)))+P1(f329(f329(f331(x70651),x70654),x70655))
% 191.26/191.48 [7067]~P5(x70672)+~P1(f329(f62(x70671),x70675))+E(f329(f329(f6(x70671,x70672),x70673),f329(f329(f311(x70671),x70674),x70675)),f329(f329(f82(x70672),f329(x70673,x70674)),f329(f329(f6(x70671,x70672),x70673),x70675)))+P1(f329(f329(f331(x70671),x70674),x70675))
% 191.26/191.48 [7580]~P23(x75802,x75805,x75801)+~P1(f329(f62(x75802),x75804))+E(f329(x75801,f329(f329(f311(x75802),x75803),x75804)),x75803)+~E(f329(f329(f23(f916(x75802,a903)),x75804),f329(f329(f311(x75802),x75803),f191(f916(x75802,a903)))),f191(f916(x75802,a903)))
% 191.26/191.48 [7891]~P1(f329(x78911,x78913))+~P1(f329(f329(f197(x78912),x78913),x78915))+~P1(f329(f329(f197(f31(x78911,x78912)),x78915),x78914))+P1(f329(f329(f197(f31(x78911,x78912)),x78913),x78914))
% 191.26/191.48 [7947]~P103(x79471)+~P1(f329(f329(f240(x79471),x79473),x79475))+~P1(f329(f329(f240(x79471),x79472),x79474))+P1(f329(f329(f240(x79471),f329(f329(f115(x79471),x79472),x79473)),f329(f329(f115(x79471),x79474),x79475)))
% 191.26/191.48 [7948]~P85(x79481)+~P1(f329(f329(f240(x79481),x79483),x79485))+~P1(f329(f329(f240(x79481),x79482),x79484))+P1(f329(f329(f240(x79481),f329(f329(f82(x79481),x79482),x79483)),f329(f329(f82(x79481),x79484),x79485)))
% 191.26/191.48 [7949]~P104(x79491)+~P1(f329(f329(f240(x79491),x79493),x79495))+~P1(f329(f329(f240(x79491),x79492),x79494))+P1(f329(f329(f240(x79491),f329(f329(f106(x79491),x79492),x79493)),f329(f329(f106(x79491),x79494),x79495)))
% 191.26/191.48 [7950]~P112(x79501)+~P1(f329(f329(f240(x79501),x79503),x79505))+~P1(f329(f329(f240(x79501),x79502),x79504))+P1(f329(f329(f240(x79501),f329(f329(f238(x79501),x79502),x79503)),f329(f329(f238(x79501),x79504),x79505)))
% 191.26/191.48 [7951]~P112(x79511)+~P1(f329(f329(f240(x79511),x79513),x79515))+~P1(f329(f329(f240(x79511),x79512),x79514))+P1(f329(f329(f240(x79511),f329(f329(f239(x79511),x79512),x79513)),f329(f329(f239(x79511),x79514),x79515)))
% 191.26/191.48 [7952]~P91(x79521)+~P1(f329(f329(f240(x79521),x79523),x79525))+~P1(f329(f329(f241(x79521),x79522),x79524))+P1(f329(f329(f241(x79521),f329(f329(f82(x79521),x79522),x79523)),f329(f329(f82(x79521),x79524),x79525)))
% 191.26/191.48 [7953]~P91(x79531)+~P1(f329(f329(f240(x79531),x79532),x79534))+~P1(f329(f329(f241(x79531),x79533),x79535))+P1(f329(f329(f241(x79531),f329(f329(f82(x79531),x79532),x79533)),f329(f329(f82(x79531),x79534),x79535)))
% 191.26/191.48 [7954]~P91(x79541)+~P1(f329(f329(f241(x79541),x79543),x79545))+~P1(f329(f329(f241(x79541),x79542),x79544))+P1(f329(f329(f241(x79541),f329(f329(f82(x79541),x79542),x79543)),f329(f329(f82(x79541),x79544),x79545)))
% 191.26/191.48 [8092]~P146(x80925)+E(x80921,x80922)+E(x80923,x80924)+~E(f329(f329(f82(x80925),f329(f329(f83(x80925),x80923),x80921)),f329(f329(f83(x80925),x80924),x80922)),f329(f329(f82(x80925),f329(f329(f83(x80925),x80923),x80922)),f329(f329(f83(x80925),x80924),x80921)))
% 191.26/191.48 [8240]P33(x82401,x82402,x82403)+~P34(x82401,x82404,x82405)+~P33(x82401,x82402,f668(x82405,x82404,x82401,x82402))+~P1(f329(f329(f331(f907(x82401)),x82403),x82405))
% 191.26/191.48 [8304]~P112(x83044)+~P1(f329(f140(x83041),x83043))+P1(f329(f329(f331(x83041),x83042),f329(f175(x83041),x83043)))+P1(f329(f140(x83041),f329(f329(f151(x83041,x83044,x83045),x83042),x83043)))
% 191.26/191.48 [8453]~P5(x84531)+E(f329(f329(f82(x84531),f329(f329(f6(a908,x84531),x84532),f329(f304(a908,x84533),x84534))),f329(f329(f6(a908,x84531),x84532),f329(f304(a908,x84534),x84535))),f329(f329(f6(a908,x84531),x84532),f329(f304(a908,x84533),x84535)))+~P1(f329(f329(f240(a908),x84534),x84535))+~P1(f329(f329(f240(a908),x84533),x84534))
% 191.26/191.48 [8454]~P75(x84541)+E(f329(f329(f23(x84541),f329(f329(f6(a908,x84541),x84542),f329(f304(a908,x84543),x84544))),f329(f329(f6(a908,x84541),x84542),f329(f304(a908,x84543),x84545))),f329(f329(f6(a908,x84541),x84542),f329(f304(a908,x84545),x84544)))+~P1(f329(f329(f240(a908),x84545),x84544))+~P1(f329(f329(f240(a908),x84543),x84545))
% 191.26/191.48 [8790]~P72(x87902)+E(x87901,f2(x87902))+E(x87903,f2(x87902))+E(f329(f329(f292(x87902),f329(f329(f82(x87902),f329(f329(f83(x87902),x87904),x87901)),f329(f329(f83(x87902),x87905),x87903))),f329(f329(f83(x87902),x87903),x87901)),f329(f329(f82(x87902),f329(f329(f292(x87902),x87904),x87903)),f329(f329(f292(x87902),x87905),x87901)))
% 191.26/191.48 [8791]~P72(x87912)+E(x87911,f2(x87912))+E(x87913,f2(x87912))+E(f329(f329(f292(x87912),f329(f329(f23(x87912),f329(f329(f83(x87912),x87914),x87911)),f329(f329(f83(x87912),x87915),x87913))),f329(f329(f83(x87912),x87913),x87911)),f329(f329(f23(x87912),f329(f329(f292(x87912),x87914),x87913)),f329(f329(f292(x87912),x87915),x87911)))
% 191.26/191.48 [8799]~E(x87992,f329(x87993,x87991))+E(x87991,f486(x87992,x87993,x87994,x87995))+~P30(x87995,x87994,x87993,f247(f916(x87995,a903)))+~P1(f329(f329(f331(x87994),x87992),f329(f312(x87995,x87994,x87993),f247(f916(x87995,a903)))))
% 191.26/191.48 [9002]~P121(x90021)+~P1(f329(f329(f241(x90021),f329(f77(x90021),x90022)),x90024))+P1(f329(f329(f241(x90021),f329(f329(f83(x90021),f329(f77(x90021),x90022)),f329(f77(x90021),x90023))),f329(f329(f83(x90021),x90024),x90025)))+~P1(f329(f329(f241(x90021),f329(f77(x90021),x90023)),x90025))
% 191.26/191.48 [9020]~P34(x90201,x90205,x90204)+P33(x90201,x90202,x90203)+P1(f329(f329(f331(f907(x90201)),f668(x90204,x90205,x90201,x90202)),x90205))+~P1(f329(f329(f331(f907(x90201)),x90203),x90204))
% 191.26/191.48 [9118]~P30(x91181,x91183,x91185,x91182)+~P1(f329(f62(x91183),x91184))+P1(f329(f329(f240(a908),f329(f36(x91181),x91182)),f329(f36(x91183),x91184)))+~P1(f329(f329(f240(f916(x91183,a903)),f329(f312(x91181,x91183,x91185),x91182)),x91184))
% 191.26/191.48 [9188]~P80(x91882)+~P30(x91881,x91881,x91884,x91885)+~P1(f329(f62(x91881),x91885))+E(f329(f329(f9(x91881,x91882),f329(f74(x91881,x91882,x91881,x91883),x91884)),x91885),f329(f329(f9(x91881,x91882),x91883),f329(f312(x91881,x91881,x91884),x91885)))
% 191.26/191.48 [9189]~P5(x91892)+~P30(x91891,x91891,x91894,x91895)+~P1(f329(f62(x91891),x91895))+E(f329(f329(f6(x91891,x91892),f329(f74(x91891,x91892,x91891,x91893),x91894)),x91895),f329(f329(f6(x91891,x91892),x91893),f329(f312(x91891,x91891,x91894),x91895)))
% 191.26/191.48 [9316]~P43(x93161,x93162)+~P1(f329(f329(f331(x93161),x93163),x93164))+~P1(f329(f329(f331(x93161),x93165),x93164))+~P1(f329(f329(f331(f915(x93161,x93161)),f329(f329(f257(x93161,x93161),x93165),f648(x93162,x93161,x93164))),x93162))
% 191.26/191.48 [9351]~P30(x93512,x93513,x93515,x93511)+E(x93511,f191(f916(x93512,a903)))+E(f329(f312(x93513,x93512,f704(x93514,x93513,x93512,x93511)),x93514),x93511)+~P1(f329(f329(f240(f916(x93513,a903)),f329(f312(x93512,x93513,x93515),x93511)),x93514))
% 191.26/191.48 [9832]~P112(x98325)+~P10(x98325)+P1(f329(f329(f331(x98321),f469(x98322,x98323,x98321,x98324,x98325)),x98323))+~P1(f329(f329(f241(x98325),x98324),f329(f329(f40(x98321,x98325),x98323),x98322)))
% 191.26/191.48 [9837]~P112(x98371)+~P10(x98371)+P1(f329(f329(f241(x98371),x98372),f329(x98373,f469(x98373,x98374,x98375,x98372,x98371))))+~P1(f329(f329(f241(x98371),x98372),f329(f329(f40(x98375,x98371),x98374),x98373)))
% 191.26/191.48 [9915]~P76(x99151)+~P1(f329(f67(x99151,x99151,f83(x99151),x99152,x99153),x99155))+P1(f329(f329(f331(x99151),x99152),x99153))+P1(f329(f67(x99151,x99151,f83(x99151),x99154,f329(f329(f311(x99151),x99152),x99153)),f329(f329(f83(x99151),x99154),x99155)))
% 191.26/191.48 [10117]~P80(x101172)+~P1(f329(f62(x101171),x101175))+E(f329(f329(f9(x101171,x101172),f329(f329(f7(x101171,x101172,x101172),f329(f329(f18(x101171,x101172,f916(x101172,x101172)),f329(f329(f8(a903,f916(x101172,f916(x101172,x101172)),x101171),f99(x101172)),f329(a326,x101173))),x101174)),f80(x101172))),x101175),f80(x101172))+P1(f329(f329(f331(x101171),x101173),x101175))
% 191.26/191.48 [10118]~P5(x101182)+~P1(f329(f62(x101181),x101185))+E(f329(f329(f6(x101181,x101182),f329(f329(f7(x101181,x101182,x101182),f329(f329(f18(x101181,x101182,f916(x101182,x101182)),f329(f329(f8(a903,f916(x101182,f916(x101182,x101182)),x101181),f99(x101182)),f329(a326,x101183))),x101184)),f2(x101182))),x101185),f2(x101182))+P1(f329(f329(f331(x101181),x101183),x101185))
% 191.26/191.48 [10119]~P80(x101192)+~P1(f329(f62(x101191),x101195))+E(f329(f329(f9(x101191,x101192),f329(f329(f7(x101191,x101192,x101192),f329(f329(f18(x101191,x101192,f916(x101192,x101192)),f329(f329(f8(a903,f916(x101192,f916(x101192,x101192)),x101191),f99(x101192)),f329(a326,x101193))),x101194)),f80(x101192))),x101195),f329(x101194,x101193))+~P1(f329(f329(f331(x101191),x101193),x101195))
% 191.26/191.48 [10120]~P5(x101202)+~P1(f329(f62(x101201),x101205))+E(f329(f329(f6(x101201,x101202),f329(f329(f7(x101201,x101202,x101202),f329(f329(f18(x101201,x101202,f916(x101202,x101202)),f329(f329(f8(a903,f916(x101202,f916(x101202,x101202)),x101201),f99(x101202)),f329(a326,x101203))),x101204)),f2(x101202))),x101205),f329(x101204,x101203))+~P1(f329(f329(f331(x101201),x101203),x101205))
% 191.26/191.48 [10173]~P80(x101732)+~P1(f329(f62(x101731),x101735))+E(f329(f329(f9(x101731,x101732),f329(f329(f7(x101731,x101732,x101732),f329(f329(f18(x101731,x101732,f916(x101732,x101732)),f329(f329(f8(a903,f916(x101732,f916(x101732,x101732)),x101731),f99(x101732)),f329(f329(f7(x101731,x101731,a903),a326),x101733))),x101734)),f80(x101732))),x101735),f80(x101732))+P1(f329(f329(f331(x101731),x101733),x101735))
% 191.26/191.48 [10174]~P5(x101742)+~P1(f329(f62(x101741),x101745))+E(f329(f329(f6(x101741,x101742),f329(f329(f7(x101741,x101742,x101742),f329(f329(f18(x101741,x101742,f916(x101742,x101742)),f329(f329(f8(a903,f916(x101742,f916(x101742,x101742)),x101741),f99(x101742)),f329(f329(f7(x101741,x101741,a903),a326),x101743))),x101744)),f2(x101742))),x101745),f2(x101742))+P1(f329(f329(f331(x101741),x101743),x101745))
% 191.26/191.48 [10176]~P80(x101762)+~P1(f329(f62(x101761),x101765))+E(f329(f329(f9(x101761,x101762),f329(f329(f7(x101761,x101762,x101762),f329(f329(f18(x101761,x101762,f916(x101762,x101762)),f329(f329(f8(a903,f916(x101762,f916(x101762,x101762)),x101761),f99(x101762)),f329(f329(f7(x101761,x101761,a903),a326),x101763))),x101764)),f80(x101762))),x101765),f329(x101764,x101763))+~P1(f329(f329(f331(x101761),x101763),x101765))
% 191.26/191.48 [10177]~P5(x101772)+~P1(f329(f62(x101771),x101775))+E(f329(f329(f6(x101771,x101772),f329(f329(f7(x101771,x101772,x101772),f329(f329(f18(x101771,x101772,f916(x101772,x101772)),f329(f329(f8(a903,f916(x101772,f916(x101772,x101772)),x101771),f99(x101772)),f329(f329(f7(x101771,x101771,a903),a326),x101773))),x101774)),f2(x101772))),x101775),f329(x101774,x101773))+~P1(f329(f329(f331(x101771),x101773),x101775))
% 191.26/191.48 [7946]~P75(x79462)+~P1(f329(f62(x79461),x79464))+E(f329(f329(f6(x79461,x79462),x79463),f329(f329(f23(f916(x79461,a903)),x79464),f329(f329(f311(x79461),x79465),f191(f916(x79461,a903))))),f329(f329(f6(x79461,x79462),x79463),x79464))+P1(f329(f329(f331(x79461),x79465),x79464))
% 191.26/191.48 [8460]~P130(x84602)+~P1(f329(f62(x84601),x84604))+E(f329(f329(f6(x84601,x84602),x84603),f329(f329(f23(f916(x84601,a903)),x84604),f329(f329(f311(x84601),x84605),f191(f916(x84601,a903))))),f329(f329(f23(x84602),f329(f329(f6(x84601,x84602),x84603),x84604)),f329(x84603,x84605)))+~P1(f329(f329(f331(x84601),x84605),x84604))
% 191.26/191.48 [8461]~P75(x84612)+~P1(f329(f62(x84611),x84614))+E(f329(f329(f6(x84611,x84612),x84613),f329(f329(f23(f916(x84611,a903)),x84614),f329(f329(f311(x84611),x84615),f191(f916(x84611,a903))))),f329(f329(f23(x84612),f329(f329(f6(x84611,x84612),x84613),x84614)),f329(x84613,x84615)))+~P1(f329(f329(f331(x84611),x84615),x84614))
% 191.26/191.48 [8489]~P75(x84891)+~P1(f329(f62(x84892),x84894))+E(f329(f329(f23(x84891),f329(f329(f6(x84892,x84891),x84893),x84894)),f329(f329(f6(x84892,x84891),x84893),x84895)),f329(f329(f6(x84892,x84891),x84893),f329(f329(f23(f916(x84892,a903)),x84894),x84895)))+~P1(f329(f329(f240(f916(x84892,a903)),x84895),x84894))
% 191.26/191.48 [8509]P1(f329(f62(x85091),f329(x85092,x85093)))+~P1(f329(f62(x85094),x85095))+~P1(f329(f329(f331(x85094),x85093),x85095))+~P1(f329(f62(x85091),f329(f329(f40(x85094,f916(x85091,a903)),x85095),x85092)))
% 191.26/191.48 [8631]~P103(x86315)+~P103(x86311)+~P46(x86315,x86311,x86312)+P1(f329(f329(f240(x86311),f329(f329(f115(x86311),f329(x86312,x86313)),f329(x86312,x86314))),f329(x86312,f329(f329(f115(x86315),x86313),x86314))))
% 191.26/191.48 [8632]~P103(x86321)+~P112(x86325)+~P46(x86325,x86321,x86322)+P1(f329(f329(f240(x86321),f329(f329(f115(x86321),f329(x86322,x86323)),f329(x86322,x86324))),f329(x86322,f329(f329(f239(x86325),x86323),x86324))))
% 191.26/191.48 [8959]~P13(x89591,x89595,x89594)+~E(f329(f288(x89591,x89591,x89594),f329(f329(f311(x89591),x89592),f191(f916(x89591,a903)))),f329(f288(x89591,x89591,x89594),f329(f329(f311(x89591),x89593),f191(f916(x89591,a903)))))+~P1(f329(f329(f331(x89591),x89593),x89595))+P1(f329(f329(f331(f915(x89591,x89591)),f329(f329(f257(x89591,x89591),x89592),x89593)),x89594))
% 191.26/191.48 [9270]~P1(f329(x92701,x92705))+P1(f329(x92701,f349(x92701,x92702,x92703,x92704)))+P1(f329(x92701,f901(x92701,x92702,x92703,x92704)))+~P1(f329(f329(f331(x92704),x92705),f329(f329(f115(f916(x92704,a903)),x92703),x92702)))
% 191.26/191.48 [9453]~P1(f329(x94531,x94535))+P1(f329(x94531,f901(x94531,x94532,x94533,x94534)))+P1(f329(f329(f331(x94534),f349(x94531,x94532,x94533,x94534)),x94532))+~P1(f329(f329(f331(x94534),x94535),f329(f329(f115(f916(x94534,a903)),x94533),x94532)))
% 191.26/191.48 [9454]~P1(f329(x94541,x94545))+P1(f329(x94541,f349(x94541,x94542,x94543,x94544)))+P1(f329(f329(f331(x94544),f901(x94541,x94542,x94543,x94544)),x94543))+~P1(f329(f329(f331(x94544),x94545),f329(f329(f115(f916(x94544,a903)),x94543),x94542)))
% 191.26/191.48 [9458]P1(f329(x94581,x94582))+~P1(f329(x94581,f894(x94581,x94583,x94584,x94585)))+~P1(f329(x94581,f878(x94581,x94583,x94584,x94585)))+~P1(f329(f329(f331(x94585),x94582),f329(f329(f115(f916(x94585,a903)),x94584),x94583)))
% 191.26/191.48 [9463]~P44(x94631,x94634)+~P1(f329(f329(f331(f915(x94631,x94631)),f329(f329(f257(x94631,x94631),x94632),x94635)),x94634))+P1(f329(f329(f331(f915(x94631,x94631)),f329(f329(f257(x94631,x94631),x94632),x94633)),x94634))+~P1(f329(f329(f331(f915(x94631,x94631)),f329(f329(f257(x94631,x94631),x94635),x94633)),x94634))
% 191.26/191.48 [9501]E(x95011,x95012)+~P1(f329(f329(f331(f915(x95013,x95013)),f329(f329(f257(x95013,x95013),x95011),x95012)),f309(x95013,x95015)))+P1(f329(f329(f331(x95013),x95011),x95014))+~P1(f329(f329(f240(f916(f915(x95013,x95013),a903)),x95015),f329(f329(f259(x95013,x95013),x95014),f329(f16(f916(x95013,a903),x95013),x95014))))
% 191.26/191.48 [9519]P1(f329(x95191,x95192))+~P1(f329(x95191,f878(x95191,x95194,x95195,x95193)))+P1(f329(f329(f331(x95193),f894(x95191,x95194,x95195,x95193)),x95194))+~P1(f329(f329(f331(x95193),x95192),f329(f329(f115(f916(x95193,a903)),x95195),x95194)))
% 191.26/191.48 [9520]P1(f329(x95201,x95202))+~P1(f329(x95201,f894(x95201,x95204,x95205,x95203)))+P1(f329(f329(f331(x95203),f878(x95201,x95204,x95205,x95203)),x95205))+~P1(f329(f329(f331(x95203),x95202),f329(f329(f115(f916(x95203,a903)),x95205),x95204)))
% 191.26/191.48 [9586]P1(f329(x95861,x95862))+P1(f329(f329(f331(x95863),f894(x95861,x95864,x95865,x95863)),x95864))+P1(f329(f329(f331(x95863),f878(x95861,x95864,x95865,x95863)),x95865))+~P1(f329(f329(f331(x95863),x95862),f329(f329(f115(f916(x95863,a903)),x95865),x95864)))
% 191.26/191.48 [9588]~P1(f329(x95882,x95885))+P1(f329(f329(f331(x95881),f349(x95882,x95883,x95884,x95881)),x95883))+P1(f329(f329(f331(x95881),f901(x95882,x95883,x95884,x95881)),x95884))+~P1(f329(f329(f331(x95881),x95885),f329(f329(f115(f916(x95881,a903)),x95884),x95883)))
% 191.26/191.48 [9738]~P13(x97381,x97385,x97384)+~P1(f329(f329(f331(x97381),x97383),x97385))+P1(f329(f329(f331(f915(x97381,x97381)),f329(f329(f257(x97381,x97381),x97382),x97383)),x97384))+~P1(f329(f329(f240(f916(x97381,a903)),f329(f288(x97381,x97381,x97384),f329(f329(f311(x97381),x97383),f191(f916(x97381,a903))))),f329(f288(x97381,x97381,x97384),f329(f329(f311(x97381),x97382),f191(f916(x97381,a903))))))
% 191.26/191.48 [9865]~P112(x98655)+~P10(x98655)+P1(f329(f329(f331(x98651),f634(x98652,x98653,x98654,x98651,x98655)),x98654))+~P1(f329(f329(f241(x98655),f329(f329(f41(x98651,x98655),x98654),x98653)),x98652))
% 191.26/191.48 [9898]~P4(x98985)+~P85(x98985)+P1(f329(f329(f331(x98981),f719(x98982,x98983,x98984,x98981,x98985)),f329(f175(x98981),x98984)))+P1(f329(f329(f240(x98985),f329(f168(x98985),f329(f329(f157(x98981,x98985),x98983),x98984))),f329(f168(x98985),f329(f329(f157(x98981,x98985),x98982),x98984))))
% 191.26/191.48 [10005]~P112(x100051)+~P10(x100051)+P1(f329(f329(f241(x100051),f329(x100052,f634(x100053,x100052,x100054,x100055,x100051))),x100053))+~P1(f329(f329(f241(x100051),f329(f329(f41(x100055,x100051),x100054),x100052)),x100053))
% 191.26/191.48 [10135]~P4(x101351)+~P85(x101351)+~P1(f329(f329(f240(x101351),f329(x101353,f719(x101355,x101353,x101354,x101352,x101351))),f329(x101355,f719(x101355,x101353,x101354,x101352,x101351))))+P1(f329(f329(f240(x101351),f329(f168(x101351),f329(f329(f157(x101352,x101351),x101353),x101354))),f329(f168(x101351),f329(f329(f157(x101352,x101351),x101355),x101354))))
% 191.26/191.48 [8806]~P80(x88061)+~P1(f329(f62(x88064),x88065))+~P1(f329(f329(f331(x88064),x88063),x88065))+E(f329(f329(f83(x88061),f329(x88062,x88063)),f329(f329(f9(x88064,x88061),x88062),f329(f329(f23(f916(x88064,a903)),x88065),f329(f329(f311(x88064),x88063),f191(f916(x88064,a903)))))),f329(f329(f9(x88064,x88061),x88062),x88065))
% 191.26/191.48 [8808]~P5(x88081)+~P1(f329(f62(x88084),x88085))+~P1(f329(f329(f331(x88084),x88083),x88085))+E(f329(f329(f82(x88081),f329(x88082,x88083)),f329(f329(f6(x88084,x88081),x88082),f329(f329(f23(f916(x88084,a903)),x88085),f329(f329(f311(x88084),x88083),f191(f916(x88084,a903)))))),f329(f329(f6(x88084,x88081),x88082),x88085))
% 191.26/191.48 [8864]~P23(x88641,x88644,x88645)+~P1(f329(f62(x88641),x88642))+E(f329(f329(f23(f916(x88641,a903)),x88642),f329(f329(f311(x88641),x88643),f191(f916(x88641,a903)))),f191(f916(x88641,a903)))+E(f329(f329(x88644,x88643),f329(x88645,f329(f329(f23(f916(x88641,a903)),x88642),f329(f329(f311(x88641),x88643),f191(f916(x88641,a903)))))),f329(x88645,f329(f329(f311(x88641),x88643),x88642)))
% 191.26/191.48 [9241]~P5(x92411)+~P1(f329(f62(x92412),x92415))+~P1(f329(f62(x92412),x92414))+E(f329(f329(f82(x92411),f329(f329(f6(x92412,x92411),x92413),f329(f329(f115(f916(x92412,a903)),x92414),x92415))),f329(f329(f6(x92412,x92411),x92413),f329(f329(f106(f916(x92412,a903)),x92414),x92415))),f329(f329(f82(x92411),f329(f329(f6(x92412,x92411),x92413),x92414)),f329(f329(f6(x92412,x92411),x92413),x92415)))
% 191.26/191.48 [9243]~P80(x92431)+~P1(f329(f62(x92432),x92435))+~P1(f329(f62(x92432),x92434))+E(f329(f329(f83(x92431),f329(f329(f9(x92432,x92431),x92433),f329(f329(f115(f916(x92432,a903)),x92434),x92435))),f329(f329(f9(x92432,x92431),x92433),f329(f329(f106(f916(x92432,a903)),x92434),x92435))),f329(f329(f83(x92431),f329(f329(f9(x92432,x92431),x92433),x92434)),f329(f329(f9(x92432,x92431),x92433),x92435)))
% 191.26/191.48 [9388]~P75(x93881)+~P1(f329(f62(x93882),x93885))+~P1(f329(f62(x93882),x93884))+E(f329(f329(f23(x93881),f329(f329(f82(x93881),f329(f329(f6(x93882,x93881),x93883),x93884)),f329(f329(f6(x93882,x93881),x93883),x93885))),f329(f329(f6(x93882,x93881),x93883),f329(f329(f106(f916(x93882,a903)),x93884),x93885))),f329(f329(f6(x93882,x93881),x93883),f329(f329(f115(f916(x93882,a903)),x93884),x93885)))
% 191.26/191.48 [9599]~P30(x95991,x95992,x95993,x95995)+~P30(x95991,x95992,x95993,x95994)+P30(x95991,x95992,x95993,f329(f329(f115(f916(x95991,a903)),x95994),x95995))+~E(f329(f329(f106(f916(x95992,a903)),f329(f312(x95991,x95992,x95993),f329(f329(f23(f916(x95991,a903)),x95994),x95995))),f329(f312(x95991,x95992,x95993),f329(f329(f23(f916(x95991,a903)),x95995),x95994))),f191(f916(x95992,a903)))
% 191.26/191.48 [9712]E(x97121,f2(a1))+~P1(f329(f329(f241(a1),f2(a1)),x97123))+~P1(f329(f50(x97122,x97121),f329(f329(f257(a1,a1),x97124),x97125)))+P1(f329(f50(x97122,f329(f329(f83(a1),x97121),x97123)),f329(f329(f257(a1,a1),f329(f329(f37(a1),x97124),x97123)),f329(f329(f82(a1),f329(f329(f83(a1),x97121),f46(a1,x97124,x97123))),x97125))))
% 191.26/191.48 [9720]~P1(f329(f329(f241(a908),f2(a908)),x97203))+~P1(f329(f329(f241(a908),f2(a908)),x97202))+~P1(f329(f49(x97201,x97202),f329(f329(f257(a908,a908),x97204),x97205)))+P1(f329(f49(x97201,f329(f329(f83(a908),x97202),x97203)),f329(f329(f257(a908,a908),f329(f329(f37(a908),x97204),x97203)),f329(f329(f82(a908),f329(f329(f83(a908),x97202),f46(a908,x97204,x97203))),x97205))))
% 191.26/191.48 [9771]~P80(x97711)+~P1(f329(f62(x97712),x97715))+~P1(f329(f62(x97712),x97714))+E(f329(f329(f83(x97711),f329(f329(f329(f66(x97711,x97712,f83(x97711)),x97713),f80(x97711)),f329(f329(f115(f916(x97712,a903)),x97714),x97715))),f329(f329(f329(f66(x97711,x97712,f83(x97711)),x97713),f80(x97711)),f329(f329(f106(f916(x97712,a903)),x97714),x97715))),f329(f329(f83(x97711),f329(f329(f329(f66(x97711,x97712,f83(x97711)),x97713),f80(x97711)),x97714)),f329(f329(f329(f66(x97711,x97712,f83(x97711)),x97713),f80(x97711)),x97715)))
% 191.26/191.48 [9773]~E(f329(f329(f178(x97731),x97735),x97732),f329(f329(f178(x97731),x97735),x97733))+P1(f329(f329(f331(f915(f909(x97731),f909(x97731))),f329(f329(f257(f909(x97731),f909(x97731)),x97732),x97733)),f150(x97731,x97734)))+~P1(f329(f329(f241(a908),x97735),f329(f329(f238(a908),f329(f192(f909(x97731)),x97732)),f329(f192(f909(x97731)),x97733))))+~P1(f329(f329(f331(f915(x97731,x97731)),f329(f329(f257(x97731,x97731),f329(f329(f167(x97731),x97732),x97735)),f329(f329(f167(x97731),x97733),x97735))),x97734))
% 191.26/191.48 [9887]~P109(x98875)+~P85(x98875)+P1(f329(f329(f331(x98871),f450(x98872,x98873,x98874,x98871,x98875)),x98874))+P1(f329(f329(f240(x98875),f329(f329(f6(x98871,x98875),x98873),x98874)),f329(f329(f83(x98875),f329(f105(x98875),f329(f36(x98871),x98874))),x98872)))
% 191.26/191.48 [10064]~P109(x100641)+~P85(x100641)+~P1(f329(f329(f240(x100641),f329(x100643,f450(x100645,x100643,x100644,x100642,x100641))),x100645))+P1(f329(f329(f240(x100641),f329(f329(f6(x100642,x100641),x100643),x100644)),f329(f329(f83(x100641),f329(f105(x100641),f329(f36(x100642),x100644))),x100645)))
% 191.26/191.48 [8836]E(f329(f329(f137(x88361),x88362),x88363),f329(f329(f137(x88361),x88364),x88365))+~E(f329(f329(f178(x88361),f329(f192(f909(x88361)),x88362)),x88364),x88362)+~E(f329(f329(f137(x88361),f329(f329(f141(x88361),f329(f192(f909(x88361)),x88362)),x88364)),x88365),x88363)+P1(f329(f329(f240(a908),f329(f192(f909(x88361)),x88364)),f329(f192(f909(x88361)),x88362)))
% 191.26/191.48 [8958]E(f329(f329(f137(x89581),x89582),x89583),f329(f329(f137(x89581),x89584),x89585))+~E(f329(f329(f178(x89581),f329(f192(f909(x89581)),x89582)),x89584),x89582)+~E(x89583,f329(f329(f137(x89581),f329(f329(f141(x89581),f329(f192(f909(x89581)),x89582)),x89584)),x89585))+~P1(f329(f329(f240(a908),f329(f192(f909(x89581)),x89582)),f329(f192(f909(x89581)),x89584)))
% 191.26/191.48 [10196]~P1(f329(x101965,x101964))+~P1(f329(f62(x101962),f329(f267(x101962),x101965)))+P1(f329(f62(x101961),f329(f267(x101961),f329(f329(f7(x101961,x101962,a903),x101963),x101964))))+~P1(f329(f62(x101961),f329(f267(x101961),f329(f329(f8(f916(x101962,a903),a903,x101961),f89(x101962)),f329(f329(f8(f916(x101962,a903),f916(x101962,a903),x101961),f329(f18(x101962,a903,a903),f329(f329(f8(a903,f916(a903,a903),x101962),a327),x101965))),x101963)))))
% 191.26/191.48 [10267]~P1(f329(f62(x102672),x102675))+~P1(f329(f329(f331(x102672),x102674),x102675))+P1(f329(f62(x102671),f329(f267(x102671),f329(f329(f7(x102671,x102672,a903),x102673),x102674))))+~P1(f329(f62(x102671),f329(f267(x102671),f329(f329(f8(f916(x102672,a903),a903,x102671),f89(x102672)),f329(f329(f8(f916(x102672,a903),f916(x102672,a903),x102671),f329(f18(x102672,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102672),a327),f329(f329(f7(x102672,f916(x102672,a903),a903),f331(x102672)),x102675)))),x102673)))))
% 191.26/191.48 [8096]~P48(x80962,x80963,x80964,x80966)+~P48(f31(x80961,x80962),x80966,x80964,x80965)+P48(f31(x80961,x80962),x80963,x80964,x80965)+~P1(f329(x80961,x80963))
% 191.26/191.48 [8629]~P24(x86295,x86291,x86296,x86292)+E(f329(f74(x86291,x86291,x86291,f329(x86292,x86293)),f329(x86292,x86294)),f329(f74(x86291,x86291,x86291,f329(x86292,x86294)),f329(x86292,x86293)))+~P1(f329(f62(x86295),x86294))+~P1(f329(f62(x86295),x86293))
% 191.26/191.48 [8002]~P30(x80021,x80022,x80024,x80023)+~E(f329(x80024,x80026),x80025)+E(f329(f79(x80021,x80022,x80023,x80024),x80025),x80026)+~P1(f329(f329(f331(x80021),x80026),x80023))
% 191.26/191.48 [8003]~P30(x80031,x80032,x80034,x80033)+~E(f329(x80034,x80036),x80035)+E(f329(f94(x80031,x80032,x80033,x80034),x80035),x80036)+~P1(f329(f329(f331(x80031),x80036),x80033))
% 191.26/191.48 [8207]~P25(x82076,x82071,x82074,x82072)+E(f329(f74(x82071,x82071,x82071,f329(x82072,x82073)),f329(x82074,x82075)),f329(x82072,x82073))+~P1(f329(f62(x82076),x82073))+~P1(f329(f329(f331(x82076),x82075),x82073))
% 191.26/191.48 [9343]E(x93431,x93432)+~E(f329(f94(x93433,x93434,x93435,x93436),x93431),f329(f94(x93433,x93434,x93435,x93436),x93432))+~P1(f329(f329(f331(x93434),x93432),f329(f312(x93433,x93434,x93436),x93435)))+~P1(f329(f329(f331(x93434),x93431),f329(f312(x93433,x93434,x93436),x93435)))
% 191.26/191.48 [9437]~P24(x94373,x94371,x94376,x94372)+E(f329(f74(x94371,x94371,x94371,f329(x94372,f329(f329(f23(f916(x94373,a903)),x94374),f329(f329(f311(x94373),x94375),f191(f916(x94373,a903)))))),f329(x94376,x94375)),f329(x94372,x94374))+~P1(f329(f62(x94373),x94374))+~P1(f329(f329(f331(x94373),x94375),x94374))
% 191.26/191.48 [7070]~P68(x70701)+~E(f46(x70701,x70703,x70704),f46(x70701,x70706,x70704))+~E(f46(x70701,x70702,x70704),f46(x70701,x70705,x70704))+E(f46(x70701,f329(f329(f82(x70701),x70702),x70703),x70704),f46(x70701,f329(f329(f82(x70701),x70705),x70706),x70704))
% 191.26/191.48 [7071]~P69(x70711)+~E(f46(x70711,x70713,x70714),f46(x70711,x70716,x70714))+~E(f46(x70711,x70712,x70714),f46(x70711,x70715,x70714))+E(f46(x70711,f329(f329(f23(x70711),x70712),x70713),x70714),f46(x70711,f329(f329(f23(x70711),x70715),x70716),x70714))
% 191.26/191.48 [7072]~P68(x70721)+~E(f46(x70721,x70723,x70724),f46(x70721,x70726,x70724))+~E(f46(x70721,x70722,x70724),f46(x70721,x70725,x70724))+E(f46(x70721,f329(f329(f83(x70721),x70722),x70723),x70724),f46(x70721,f329(f329(f83(x70721),x70725),x70726),x70724))
% 191.26/191.48 [7892]~P21(x78921,x78922,x78923)+~P1(f329(f62(x78921),x78926))+E(f329(f329(f65(x78921,x78922,x78923),x78924),f329(f329(f311(x78921),x78925),x78926)),f329(f329(f65(x78921,x78922,x78923),f329(f329(x78923,x78925),x78924)),x78926))+P1(f329(f329(f331(x78921),x78925),x78926))
% 191.26/191.48 [7961]~P10(x79611)+P1(f329(f329(f240(x79611),x79612),f329(x79613,x79614)))+~P1(f329(f329(f331(x79615),x79614),x79616))+~P1(f329(f329(f240(x79611),x79612),f329(f329(f41(x79615,x79611),x79616),x79613)))
% 191.26/191.48 [8124]~P21(x81241,x81242,x81243)+~P1(f329(f62(x81241),x81246))+E(f329(f329(f65(x81241,x81242,x81243),x81244),f329(f329(f311(x81241),x81245),x81246)),f329(f329(x81243,x81245),f329(f329(f65(x81241,x81242,x81243),x81244),x81246)))+P1(f329(f329(f331(x81241),x81245),x81246))
% 191.26/191.48 [8225]~P112(x82253)+~P1(f329(x82252,x82255))+~P18(x82253,f329(f329(f157(x82251,x82253),x82254),x82256))+E(f329(f139(x82251,x82252),f329(f329(f151(x82251,x82253,x82254),x82255),x82256)),f329(f329(f151(x82251,x82253,x82254),x82255),f329(f139(x82251,x82252),x82256)))
% 191.26/191.48 [8248]E(x82481,x82482)+E(x82483,f2(a1))+~P1(f329(f50(x82484,x82483),f329(f329(f257(a1,a1),x82485),x82482)))+~P1(f329(f50(x82484,x82483),f329(f329(f257(a1,a1),x82486),x82481)))
% 191.26/191.48 [8249]E(x82491,x82492)+E(x82493,f2(a1))+~P1(f329(f50(x82494,x82493),f329(f329(f257(a1,a1),x82492),x82495)))+~P1(f329(f50(x82494,x82493),f329(f329(f257(a1,a1),x82491),x82496)))
% 191.26/191.48 [8268]~P24(x82682,x82685,x82686,x82681)+~P1(f329(f62(x82682),x82684))+E(f329(x82681,f329(f329(f311(x82682),x82683),x82684)),f329(f74(x82685,x82685,x82685,f329(x82681,x82684)),f329(x82686,x82683)))+P1(f329(f329(f331(x82682),x82683),x82684))
% 191.26/191.48 [8492]~P25(x84925,x84921,x84926,x84922)+E(f329(f74(x84921,x84921,x84921,f329(x84922,x84923)),f329(x84922,x84924)),f329(x84922,x84923))+~P1(f329(f62(x84925),x84923))+~P1(f329(f329(f240(f916(x84925,a903)),x84924),x84923))
% 191.26/191.48 [9643]~P30(x96431,x96432,x96434,x96433)+~P1(f329(f329(f331(x96432),x96435),f329(f312(x96431,x96432,x96434),x96433)))+P1(f329(f329(f331(x96431),f329(f79(x96431,x96432,x96433,x96434),x96435)),x96436))+~P1(f329(f329(f240(f916(x96431,a903)),x96433),x96436))
% 191.26/191.48 [10016]~P5(x100162)+~E(f455(x100161,x100163,x100165,x100166,x100164,x100162),f456(x100161,x100163,x100165,x100166,x100164,x100162))+~P1(f329(f62(x100164),x100166))+E(f329(f329(f6(x100161,x100162),x100163),f329(f312(x100164,x100161,x100165),x100166)),f329(f329(f6(x100164,x100162),f329(f74(x100161,x100162,x100164,x100163),x100165)),x100166))
% 191.26/191.48 [10046]~P5(x100466)+E(f329(x100461,f455(x100462,x100463,x100461,x100464,x100465,x100466)),f329(x100461,f456(x100462,x100463,x100461,x100464,x100465,x100466)))+E(f329(f329(f6(x100462,x100466),x100463),f329(f312(x100465,x100462,x100461),x100464)),f329(f329(f6(x100465,x100466),f329(f74(x100462,x100466,x100465,x100463),x100461)),x100464))+~P1(f329(f62(x100465),x100464))
% 191.26/191.48 [10085]~P5(x100852)+~E(f329(x100853,f329(x100855,f456(x100851,x100853,x100855,x100856,x100854,x100852))),f2(x100852))+~P1(f329(f62(x100854),x100856))+E(f329(f329(f6(x100851,x100852),x100853),f329(f312(x100854,x100851,x100855),x100856)),f329(f329(f6(x100854,x100852),f329(f74(x100851,x100852,x100854,x100853),x100855)),x100856))
% 191.26/191.48 [10143]~P5(x101432)+~P1(f329(f62(x101434),x101436))+E(f329(f329(f6(x101431,x101432),x101433),f329(f312(x101434,x101431,x101435),x101436)),f329(f329(f6(x101434,x101432),f329(f74(x101431,x101432,x101434,x101433),x101435)),x101436))+P1(f329(f329(f331(x101434),f456(x101431,x101433,x101435,x101436,x101434,x101432)),x101436))
% 191.26/191.48 [10144]~P5(x101442)+~P1(f329(f62(x101444),x101446))+E(f329(f329(f6(x101441,x101442),x101443),f329(f312(x101444,x101441,x101445),x101446)),f329(f329(f6(x101444,x101442),f329(f74(x101441,x101442,x101444,x101443),x101445)),x101446))+P1(f329(f329(f331(x101444),f455(x101441,x101443,x101445,x101446,x101444,x101442)),x101446))
% 191.26/191.48 [10221]~P46(f916(f915(x102214,x102215),a903),f916(f915(x102214,x102215),a903),x102216)+~P1(f329(f329(x102211,f546(x102211,x102216,x102213,x102212,x102215,x102214)),f547(x102211,x102216,x102213,x102212,x102215,x102214)))+P1(f329(f329(x102211,x102212),x102213))+~P1(f329(f329(f331(f915(x102214,x102215)),f329(f329(f257(x102214,x102215),x102212),x102213)),f100(f916(f915(x102214,x102215),a903),x102216)))
% 191.26/191.48 [10266]~P80(x102661)+~P1(f329(f62(x102662),x102666))+E(f329(f329(f329(f66(x102661,x102662,f83(x102661)),f329(f329(f18(x102662,f916(x102663,a903),x102661),f329(f329(f7(x102662,x102661,f916(f916(x102663,a903),x102661)),f329(f329(f8(f916(x102663,x102661),f916(x102661,f916(f916(x102663,a903),x102661)),x102662),f66(x102661,x102663,f83(x102661))),x102664)),f80(x102661))),x102665)),f80(x102661)),x102666),f329(f329(f329(f66(x102661,f915(x102662,x102663),f83(x102661)),f329(f262(x102662,x102663,x102661),x102664)),f80(x102661)),f329(f329(f259(x102662,x102663),x102666),x102665)))+P1(f329(f329(f331(x102662),f515(x102664,x102665,x102663,x102666,x102662,x102661)),x102666))
% 191.26/191.48 [10287]~P80(x102871)+~P1(f329(f62(x102872),x102876))+E(f329(f329(f329(f66(x102871,x102872,f83(x102871)),f329(f329(f18(x102872,f916(x102873,a903),x102871),f329(f329(f7(x102872,x102871,f916(f916(x102873,a903),x102871)),f329(f329(f8(f916(x102873,x102871),f916(x102871,f916(f916(x102873,a903),x102871)),x102872),f66(x102871,x102873,f83(x102871))),x102874)),f80(x102871))),x102875)),f80(x102871)),x102876),f329(f329(f329(f66(x102871,f915(x102872,x102873),f83(x102871)),f329(f262(x102872,x102873,x102871),x102874)),f80(x102871)),f329(f329(f259(x102872,x102873),x102876),x102875)))+~P1(f329(f62(x102873),f329(x102875,f515(x102874,x102875,x102873,x102876,x102872,x102871))))
% 191.26/191.48 [8402]~P25(x84022,x84025,x84026,x84021)+~P1(f329(f62(x84022),x84024))+~P1(f329(f62(x84022),x84023))+E(f329(x84021,f329(f329(f115(f916(x84022,a903)),x84023),x84024)),f329(f74(x84025,x84025,x84025,f329(x84021,x84023)),f329(x84021,x84024)))
% 191.26/191.48 [8630]~P10(x86301)+P1(f329(f329(f240(x86301),f329(x86302,x86303)),x86304))+~P1(f329(f329(f331(x86305),x86303),x86306))+~P1(f329(f329(f240(x86301),f329(f329(f40(x86305,x86301),x86306),x86302)),x86304))
% 191.26/191.48 [9046]~P30(x90462,x90461,x90463,x90466)+E(f329(f329(f23(f916(x90461,a903)),f329(f312(x90462,x90461,x90463),x90464)),f329(f312(x90462,x90461,x90463),x90465)),f329(f312(x90462,x90461,x90463),f329(f329(f23(f916(x90462,a903)),x90464),x90465)))+~P1(f329(f329(f240(f916(x90462,a903)),x90465),x90466))+~P1(f329(f329(f240(f916(x90462,a903)),x90464),x90466))
% 191.26/191.48 [9047]~P30(x90472,x90471,x90473,x90476)+E(f329(f329(f106(f916(x90471,a903)),f329(f312(x90472,x90471,x90473),x90474)),f329(f312(x90472,x90471,x90473),x90475)),f329(f312(x90472,x90471,x90473),f329(f329(f106(f916(x90472,a903)),x90474),x90475)))+~P1(f329(f329(f240(f916(x90472,a903)),x90475),x90476))+~P1(f329(f329(f240(f916(x90472,a903)),x90474),x90476))
% 191.26/191.48 [9318]E(x93181,x93182)+~P62(x93183,x93184,x93185)+~P1(f329(f329(f331(f915(x93183,x93184)),f329(f329(f257(x93183,x93184),x93186),x93182)),x93185))+~P1(f329(f329(f331(f915(x93183,x93184)),f329(f329(f257(x93183,x93184),x93186),x93181)),x93185))
% 191.26/191.48 [10081]~P76(x100811)+~E(f329(x100813,f592(x100814,x100816,x100813,x100815,x100812,x100811)),f329(x100816,f592(x100814,x100816,x100813,x100815,x100812,x100811)))+~P1(f329(f62(x100812),x100815))+E(f329(f329(f329(f66(x100811,x100812,f83(x100811)),x100813),x100814),x100815),f329(f329(f329(f66(x100811,x100812,f83(x100811)),x100816),x100814),x100815))
% 191.26/191.48 [10141]~P76(x101411)+~P1(f329(f62(x101412),x101415))+E(f329(f329(f329(f66(x101411,x101412,f83(x101411)),x101413),x101414),x101415),f329(f329(f329(f66(x101411,x101412,f83(x101411)),x101416),x101414),x101415))+P1(f329(f329(f331(x101412),f592(x101414,x101413,x101416,x101415,x101412,x101411)),x101415))
% 191.26/191.48 [8849]~P76(x88491)+~P1(f329(f62(x88492),x88496))+P1(f329(f329(f331(x88492),x88495),x88496))+E(f329(f329(f329(f66(x88491,x88492,f83(x88491)),x88493),x88494),f329(f329(f311(x88492),x88495),x88496)),f329(f329(f83(x88491),f329(x88493,x88495)),f329(f329(f329(f66(x88491,x88492,f83(x88491)),x88493),x88494),x88496)))
% 191.26/191.48 [8897]~P13(x88971,x88976,x88973)+~P16(x88971,f916(x88972,a903),x88973,x88975)+~P1(f329(f329(f331(x88971),x88974),x88976))+E(f329(f329(f40(x88971,f916(x88972,a903)),f329(f288(x88971,x88971,x88973),f329(f329(f311(x88971),x88974),f191(f916(x88971,a903))))),x88975),f329(x88975,x88974))
% 191.26/191.48 [9021]~P21(x90213,x90214,x90211)+~P1(f329(f62(x90213),x90216))+~P1(f329(f329(f331(x90213),x90212),x90216))+E(f329(f329(x90211,x90212),f329(f329(f65(x90213,x90214,x90211),x90215),f329(f329(f23(f916(x90213,a903)),x90216),f329(f329(f311(x90213),x90212),f191(f916(x90213,a903)))))),f329(f329(f65(x90213,x90214,x90211),x90215),x90216))
% 191.26/191.48 [9329]~P24(x93293,x93291,x93296,x93292)+~P1(f329(f62(x93293),x93295))+~P1(f329(f62(x93293),x93294))+E(f329(f74(x93291,x93291,x93291,f329(x93292,f329(f329(f115(f916(x93293,a903)),x93294),x93295))),f329(x93292,f329(f329(f106(f916(x93293,a903)),x93294),x93295))),f329(f74(x93291,x93291,x93291,f329(x93292,x93294)),f329(x93292,x93295)))
% 191.26/191.48 [10295]~P46(f916(f915(x102954,x102955),a903),f916(f915(x102954,x102955),a903),x102956)+P1(f329(f329(x102951,x102952),x102953))+~P1(f329(f329(f331(f915(x102954,x102955)),f329(f329(f257(x102954,x102955),x102952),x102953)),f100(f916(f915(x102954,x102955),a903),x102956)))+P1(f329(f329(f331(f915(x102954,x102955)),f329(f329(f257(x102954,x102955),f546(x102951,x102956,x102953,x102952,x102955,x102954)),f547(x102951,x102956,x102953,x102952,x102955,x102954))),f329(x102956,f329(f329(f106(f916(f915(x102954,x102955),a903)),f100(f916(f915(x102954,x102955),a903),x102956)),f329(f267(f915(x102954,x102955)),f329(f262(x102954,x102955,a903),x102951))))))
% 191.26/191.48 [9665]~E(x96653,f329(f329(f162(x96651,x96652),x96655),x96656))+P1(f329(f329(f331(f915(f909(x96651),f909(x96651))),f329(f329(f257(f909(x96651),f909(x96651)),x96652),x96653)),f160(x96651,x96654)))+~P1(f329(f329(f241(a908),x96655),f329(f192(f909(x96651)),x96652)))+~P1(f329(f329(f331(f915(x96651,x96651)),f329(f329(f257(x96651,x96651),f329(f329(f167(x96651),x96652),x96655)),x96656)),x96654))
% 191.26/191.48 [10152]~P80(x101522)+~P1(f329(f62(x101521),x101526))+P1(f329(f329(f331(x101521),f514(x101524,x101525,x101523,x101526,x101521,x101522)),x101526))+E(f329(f329(f9(x101521,x101522),f329(f329(f18(x101521,f916(x101523,a903),x101522),f329(f329(f8(f916(x101523,x101522),f916(f916(x101523,a903),x101522),x101521),f9(x101523,x101522)),x101524)),x101525)),x101526),f329(f329(f9(f915(x101521,x101523),x101522),f329(f262(x101521,x101523,x101522),x101524)),f329(f329(f259(x101521,x101523),x101526),x101525)))
% 191.26/191.48 [10153]~P5(x101532)+~P1(f329(f62(x101531),x101536))+P1(f329(f329(f331(x101531),f516(x101534,x101535,x101533,x101536,x101531,x101532)),x101536))+E(f329(f329(f6(x101531,x101532),f329(f329(f18(x101531,f916(x101533,a903),x101532),f329(f329(f8(f916(x101533,x101532),f916(f916(x101533,a903),x101532),x101531),f6(x101533,x101532)),x101534)),x101535)),x101536),f329(f329(f6(f915(x101531,x101533),x101532),f329(f262(x101531,x101533,x101532),x101534)),f329(f329(f259(x101531,x101533),x101536),x101535)))
% 191.26/191.48 [10194]~P80(x101942)+~P1(f329(f62(x101941),x101946))+~P1(f329(f62(x101943),f329(x101945,f514(x101944,x101945,x101943,x101946,x101941,x101942))))+E(f329(f329(f9(x101941,x101942),f329(f329(f18(x101941,f916(x101943,a903),x101942),f329(f329(f8(f916(x101943,x101942),f916(f916(x101943,a903),x101942),x101941),f9(x101943,x101942)),x101944)),x101945)),x101946),f329(f329(f9(f915(x101941,x101943),x101942),f329(f262(x101941,x101943,x101942),x101944)),f329(f329(f259(x101941,x101943),x101946),x101945)))
% 191.26/191.48 [10195]~P5(x101952)+~P1(f329(f62(x101951),x101956))+~P1(f329(f62(x101953),f329(x101955,f516(x101954,x101955,x101953,x101956,x101951,x101952))))+E(f329(f329(f6(x101951,x101952),f329(f329(f18(x101951,f916(x101953,a903),x101952),f329(f329(f8(f916(x101953,x101952),f916(f916(x101953,a903),x101952),x101951),f6(x101953,x101952)),x101954)),x101955)),x101956),f329(f329(f6(f915(x101951,x101953),x101952),f329(f262(x101951,x101953,x101952),x101954)),f329(f329(f259(x101951,x101953),x101956),x101955)))
% 191.26/191.48 [10175]~P80(x101752)+~P1(f329(f62(x101751),x101756))+P1(f329(f329(f331(x101751),x101753),x101756))+E(f329(f329(f9(x101751,x101752),f329(f329(f7(x101751,x101752,x101752),f329(f329(f18(x101751,x101752,f916(x101752,x101752)),f329(f329(f8(a903,f916(x101752,f916(x101752,x101752)),x101751),f99(x101752)),f329(f329(f7(x101751,x101751,a903),a326),x101753))),x101754)),x101755)),x101756),f329(f329(f249(x101752),x101755),f329(f36(x101751),x101756)))
% 191.26/191.48 [10180]~P80(x101802)+~P1(f329(f62(x101801),x101806))+~P1(f329(f329(f331(x101801),x101803),x101806))+E(f329(f329(f9(x101801,x101802),f329(f329(f7(x101801,x101802,x101802),f329(f329(f18(x101801,x101802,f916(x101802,x101802)),f329(f329(f8(a903,f916(x101802,f916(x101802,x101802)),x101801),f99(x101802)),f329(f329(f7(x101801,x101801,a903),a326),x101803))),x101804)),x101805)),x101806),f329(f329(f83(x101802),f329(x101804,x101803)),f329(f329(f249(x101802),x101805),f329(f329(f23(a908),f329(f36(x101801),x101806)),f80(a908)))))
% 191.26/191.48 [10258]~P1(f329(f62(x102581),x102585))+~P1(f329(f62(x102582),x102583))+P1(f329(f329(f331(x102582),f542(x102586,x102584,x102583,x102582,x102585,x102581)),x102583))+E(f329(f329(f6(x102581,a908),f329(f329(f8(f916(x102582,a903),a908,x102581),f36(x102582)),f329(f329(f8(f916(x102582,a903),f916(x102582,a903),x102581),f267(x102582)),f329(f329(f8(f916(x102582,a903),f916(x102582,a903),x102581),f329(f18(x102582,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102582),a327),f329(f329(f7(x102582,f916(x102582,a903),a903),f331(x102582)),x102583)))),x102584)))),x102585),f329(f329(f83(a908),x102586),f329(f36(x102582),x102583)))
% 191.26/191.48 [10259]~P1(f329(f62(x102591),x102595))+~P1(f329(f62(x102592),x102593))+P1(f329(f329(f331(x102592),f548(x102596,x102594,x102593,x102592,x102595,x102591)),x102593))+E(f329(f329(f6(x102591,a908),f329(f329(f8(f916(x102592,a903),a908,x102591),f36(x102592)),f329(f329(f8(f916(x102592,a903),f916(x102592,a903),x102591),f267(x102592)),f329(f329(f8(f916(x102592,a903),f916(x102592,a903),x102591),f329(f18(x102592,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102592),a327),f329(f329(f7(x102592,f916(x102592,a903),a903),f331(x102592)),x102593)))),x102594)))),x102595),f329(f329(f6(x102592,a908),x102596),x102593))
% 191.26/191.48 [10299]~P1(f329(f62(x102992),x102993))+~P1(f329(f62(x102991),x102995))+~E(f329(f36(x102991),f329(f267(x102991),f329(f329(f18(x102991,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102991),a327),f329(f329(f7(x102991,f916(x102991,a903),a903),f331(x102991)),x102995))),f329(f329(f7(x102991,x102992,a903),x102994),f542(x102996,x102994,x102993,x102992,x102995,x102991))))),x102996)+E(f329(f329(f6(x102991,a908),f329(f329(f8(f916(x102992,a903),a908,x102991),f36(x102992)),f329(f329(f8(f916(x102992,a903),f916(x102992,a903),x102991),f267(x102992)),f329(f329(f8(f916(x102992,a903),f916(x102992,a903),x102991),f329(f18(x102992,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102992),a327),f329(f329(f7(x102992,f916(x102992,a903),a903),f331(x102992)),x102993)))),x102994)))),x102995),f329(f329(f83(a908),x102996),f329(f36(x102992),x102993)))
% 191.26/191.48 [10301]~P1(f329(f62(x103012),x103013))+~P1(f329(f62(x103011),x103015))+~E(f329(f36(x103011),f329(f267(x103011),f329(f329(f18(x103011,a903,a903),f329(f329(f8(a903,f916(a903,a903),x103011),a327),f329(f329(f7(x103011,f916(x103011,a903),a903),f331(x103011)),x103015))),f329(f329(f7(x103011,x103012,a903),x103014),f548(x103016,x103014,x103013,x103012,x103015,x103011))))),f329(x103016,f548(x103016,x103014,x103013,x103012,x103015,x103011)))+E(f329(f329(f6(x103011,a908),f329(f329(f8(f916(x103012,a903),a908,x103011),f36(x103012)),f329(f329(f8(f916(x103012,a903),f916(x103012,a903),x103011),f267(x103012)),f329(f329(f8(f916(x103012,a903),f916(x103012,a903),x103011),f329(f18(x103012,a903,a903),f329(f329(f8(a903,f916(a903,a903),x103012),a327),f329(f329(f7(x103012,f916(x103012,a903),a903),f331(x103012)),x103013)))),x103014)))),x103015),f329(f329(f6(x103012,a908),x103016),x103013))
% 191.26/191.48 [9945]E(x99451,x99452)+~P21(x99453,x99454,x99455)+~P1(f329(f67(x99453,x99454,x99455,x99456,x99457),x99452))+~P1(f329(f67(x99453,x99454,x99455,x99456,x99457),x99451))
% 191.26/191.48 [9743]P1(f329(x97431,x97432))+~P1(f329(f329(f331(x97437),x97432),f329(x97436,x97434)))+~P1(f329(x97431,f465(x97431,x97436,x97435,x97433,x97437)))+~P1(f329(f329(f331(x97433),x97434),x97435))
% 191.26/191.48 [10166]~P21(x101667,x101666,x101661)+E(f329(f329(x101661,x101662),f629(x101662,x101663,x101664,x101665,x101661,x101666,x101667)),x101663)+~P1(f329(f67(x101667,x101666,x101661,x101665,x101664),x101663))+~P1(f329(f329(f331(x101667),x101662),x101664))
% 191.26/191.48 [10237]~P21(x102371,x102372,x102373)+~P1(f329(f67(x102371,x102372,x102373,x102374,x102375),x102377))+P1(f329(f67(x102371,x102372,x102373,x102374,f329(f329(f23(f916(x102371,a903)),x102375),f329(f329(f311(x102371),x102376),f191(f916(x102371,a903))))),f629(x102376,x102377,x102375,x102374,x102373,x102372,x102371)))+~P1(f329(f329(f331(x102371),x102376),x102375))
% 191.26/191.48 [9639]~P76(x96391)+~P30(x96395,x96392,x96396,x96397)+~P1(f329(f62(x96395),x96397))+E(f329(f329(f329(f66(x96391,x96392,f83(x96391)),x96393),x96394),f329(f312(x96395,x96392,x96396),x96397)),f329(f329(f329(f66(x96391,x96395,f83(x96391)),f329(f74(x96392,x96391,x96395,x96393),x96396)),x96394),x96397))
% 191.26/191.48 [9766]~E(f329(f329(f311(x97661),x97665),x97666),f329(f329(f311(x97661),x97662),x97663))+~P1(f329(f67(x97661,x97661,x97664,x97662,x97663),x97667))+P1(f329(f329(f331(x97661),x97662),x97663))+P1(f329(f63(x97661,x97664,f329(f329(f311(x97661),x97665),x97666)),x97667))
% 191.26/191.48 [9850]P1(f329(x98501,x98502))+~P1(f329(f329(f331(x98503),x98502),f329(x98504,x98507)))+~P1(f329(f329(f331(x98506),x98507),x98505))+P1(f329(f329(f331(x98503),f465(x98501,x98504,x98505,x98506,x98503)),f329(f329(f40(x98506,f916(x98503,a903)),x98505),x98504)))
% 191.26/191.48 [9866]~P30(x98662,x98661,x98665,x98664)+~P30(x98661,x98663,x98666,f329(f312(x98662,x98661,x98665),x98664))+E(f329(f329(f74(x98661,x98662,x98663,f79(x98662,x98661,x98664,x98665)),f79(x98661,x98663,f329(f312(x98662,x98661,x98665),x98664),x98666)),x98667),f329(f79(x98662,x98663,x98664,f329(f74(x98661,x98663,x98662,x98666),x98665)),x98667))+~P1(f329(f329(f331(x98663),x98667),f329(f312(x98661,x98663,x98666),f329(f312(x98662,x98661,x98665),x98664))))
% 191.26/191.48 [9867]~P30(x98672,x98671,x98675,x98674)+~P30(x98671,x98673,x98676,f329(f312(x98672,x98671,x98675),x98674))+E(f329(f329(f74(x98671,x98672,x98673,f94(x98672,x98671,x98674,x98675)),f94(x98671,x98673,f329(f312(x98672,x98671,x98675),x98674),x98676)),x98677),f329(f94(x98672,x98673,x98674,f329(f74(x98671,x98673,x98672,x98676),x98675)),x98677))+~P1(f329(f329(f331(x98673),x98677),f329(f312(x98671,x98673,x98676),f329(f312(x98672,x98671,x98675),x98674))))
% 191.26/191.48 [10167]~P21(x101677,x101676,x101671)+E(f329(f329(x101671,x101672),f655(x101673,x101674,x101672,x101675,x101671,x101676,x101677)),x101673)+P1(f329(f329(f331(x101677),x101672),x101674))+~P1(f329(f67(x101677,x101676,x101671,x101675,f329(f329(f311(x101677),x101672),x101674)),x101673))
% 191.26/191.48 [10236]~P21(x102361,x102364,x102365)+P1(f329(f67(x102361,x102364,x102365,x102366,x102363),f655(x102367,x102363,x102362,x102366,x102365,x102364,x102361)))+P1(f329(f329(f331(x102361),x102362),x102363))+~P1(f329(f67(x102361,x102364,x102365,x102366,f329(f329(f311(x102361),x102362),x102363)),x102367))
% 191.26/191.48 [9927]E(x99271,f2(a1))+~P1(f329(f50(x99273,x99271),f329(f329(f257(a1,a1),x99275),x99277)))+~P1(f329(f50(x99272,x99271),f329(f329(f257(a1,a1),x99274),x99276)))+P1(f329(f50(f329(f329(f82(a1),x99272),x99273),x99271),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f82(a1),x99274),x99275)),f329(f329(f37(a1),f329(f329(f82(a1),x99276),x99277)),x99271))),f46(a1,f329(f329(f82(a1),x99276),x99277),x99271))))
% 191.26/191.48 [9929]~P1(f329(f329(f241(a908),f2(a908)),x99293))+~P1(f329(f49(x99292,x99293),f329(f329(f257(a908,a908),x99295),x99297)))+~P1(f329(f49(x99291,x99293),f329(f329(f257(a908,a908),x99294),x99296)))+P1(f329(f49(f329(f329(f82(a908),x99291),x99292),x99293),f329(f329(f257(a908,a908),f329(f329(f82(a908),f329(f329(f82(a908),x99294),x99295)),f329(f329(f37(a908),f329(f329(f82(a908),x99296),x99297)),x99293))),f46(a908,f329(f329(f82(a908),x99296),x99297),x99293))))
% 191.26/191.48 [10298]~P5(x102982)+~P1(f329(f62(x102983),x102985))+~P1(f329(f62(x102981),x102987))+E(f329(f329(f6(x102981,x102982),f329(f329(f18(x102981,f916(x102983,a903),x102982),f329(f329(f8(f916(x102983,x102982),f916(f916(x102983,a903),x102982),x102981),f6(x102983,x102982)),x102984)),f329(f329(f8(f916(x102983,a903),f916(x102983,a903),x102981),f267(x102983)),f329(f329(f8(f916(x102983,a903),f916(x102983,a903),x102981),f329(f18(x102983,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102983),a327),f329(f329(f7(x102983,f916(x102983,a903),a903),f331(x102983)),x102985)))),x102986)))),x102987),f329(f329(f6(x102983,x102982),f329(f329(f18(x102983,f916(x102981,a903),x102982),f329(f329(f8(f916(x102981,x102982),f916(f916(x102981,a903),x102982),x102983),f6(x102981,x102982)),f329(f7(x102981,x102983,x102982),x102984))),f329(f329(f8(f916(x102981,a903),f916(x102981,a903),x102983),f267(x102981)),f329(f329(f8(f916(x102981,a903),f916(x102981,a903),x102983),f329(f18(x102981,a903,a903),f329(f329(f8(a903,f916(a903,a903),x102981),a327),f329(f329(f7(x102981,f916(x102981,a903),a903),f331(x102981)),x102987)))),f329(f7(x102981,x102983,a903),x102986))))),x102985))
% 191.26/191.48 [9802]~P27(x98027,x98026,x98021,x98028,x98022,x98024)+E(f329(f329(x98021,f329(x98022,x98023)),f329(x98024,x98025)),f329(x98024,x98025))+~P1(f329(f62(x98026),x98025))+~P1(f329(f329(f331(x98026),x98023),x98025))
% 191.26/191.48 [9806]~P17(x98066,x98061,x98062,x98068,x98063,x98064)+~P13(x98066,x98067,x98068)+P16(x98061,x98062,x98063,f329(x98064,x98065))+~P1(f329(f329(f331(x98066),x98065),x98067))
% 191.26/191.48 [7921]~P48(x79214,x79215,x79216,x79213)+~P33(x79218,x79216,f329(f329(f329(f93(x79218),x79217),x79214),x79211))+P1(f329(f329(x79211,x79212),x79213))+~P1(f329(f329(x79217,x79212),x79215))
% 191.26/191.48 [9420]~P24(x94207,x94201,x94208,x94203)+~P1(f329(f62(x94207),x94205))+~P1(f329(f62(x94207),x94204))+E(f329(f74(x94201,x94201,x94202,f329(x94203,x94204)),f329(f74(x94201,x94201,x94202,f329(x94203,x94205)),x94206)),f329(f74(x94201,x94201,x94202,f329(x94203,x94205)),f329(f74(x94201,x94201,x94202,f329(x94203,x94204)),x94206)))
% 191.26/191.48 [9429]~P40(x94291,x94292,x94293,x94294,x94297)+P40(x94291,x94292,x94293,f329(f329(f162(x94291,x94294),x94295),x94296),f329(f329(f162(x94292,x94297),x94295),x94298))+~P1(f329(f329(x94293,x94296),x94298))+~P1(f329(f329(f241(a908),x94295),f329(f192(f909(x94291)),x94294)))
% 191.26/191.48 [9430]~P40(x94301,x94302,x94303,x94304,x94307)+P40(x94301,x94302,x94303,f329(f329(f162(x94301,x94304),x94305),x94306),f329(f329(f162(x94302,x94307),x94305),x94308))+~P1(f329(f329(x94303,x94306),x94308))+~P1(f329(f329(f241(a908),x94305),f329(f192(f909(x94302)),x94307)))
% 191.26/191.48 [9508]~P30(x95082,x95082,x95085,x95086)+~P26(x95083,x95082,x95087,x95088,x95081)+~P1(f329(f62(x95082),x95086))+E(f329(f329(x95081,f329(f74(x95082,x95083,x95082,x95084),x95085)),x95086),f329(f329(x95081,x95084),f329(f312(x95082,x95082,x95085),x95086)))
% 191.26/191.48 [9767]P31(x97671,x97672,x97673,x97674,x97675)+~P31(x97672,x97676,x97677,x97675,x97678)+~P31(x97671,x97676,f329(f74(x97672,x97676,x97671,x97677),x97673),x97674,x97678)+~P1(f329(f329(f240(f916(x97672,a903)),f329(f312(x97671,x97672,x97673),x97674)),x97675))
% 191.26/191.48 [9804]~P28(x98047,x98042,x98045,x98048,x98046,x98041)+~P1(f329(f62(x98042),x98044))+E(f329(x98041,f329(f329(f311(x98042),x98043),x98044)),f329(f329(x98045,f329(x98046,x98043)),f329(x98041,x98044)))+P1(f329(f329(f331(x98042),x98043),x98044))
% 191.26/191.48 [9815]~P27(x98156,x98155,x98151,x98157,x98158,x98152)+E(f329(f329(x98151,f329(x98152,x98153)),f329(x98152,x98154)),f329(x98152,x98154))+~P1(f329(f62(x98155),x98154))+~P1(f329(f329(f240(f916(x98155,a903)),x98153),x98154))
% 191.26/191.48 [9406]P1(f329(f329(f331(f915(f909(x94061),f909(x94061))),f329(f329(f257(f909(x94061),f909(x94061)),x94062),x94063)),f160(x94061,x94064)))+~E(x94063,f329(f329(f137(x94061),x94065),f329(f329(f154(x94061),x94066),x94067)))+~E(x94062,f329(f329(f137(x94061),x94065),f329(f329(f154(x94061),x94068),x94067)))+~P1(f329(f329(f331(f915(x94061,x94061)),f329(f329(f257(x94061,x94061),x94068),x94066)),x94064))
% 191.26/191.48 [9809]~P27(x98096,x98092,x98095,x98097,x98098,x98091)+~P1(f329(f62(x98092),x98094))+~P1(f329(f62(x98092),x98093))+E(f329(x98091,f329(f329(f115(f916(x98092,a903)),x98093),x98094)),f329(f329(x98095,f329(x98091,x98093)),f329(x98091,x98094)))
% 191.26/191.48 [10342]~P30(x103424,x103422,x103425,x103428)+E(f329(f329(f41(x103421,f916(x103422,a903)),x103423),f329(f329(f8(f916(x103424,a903),f916(x103422,a903),x103421),f312(x103424,x103422,x103425)),x103426)),f329(f312(x103424,x103422,x103425),f329(f329(f41(x103421,f916(x103424,a903)),x103423),x103426)))+~P1(f329(f329(f331(x103421),x103427),x103423))+P1(f329(f329(f331(x103421),f644(x103427,x103426,x103423,x103421,x103428,x103425,x103422,x103424)),x103423))
% 191.26/191.48 [10366]~P30(x103664,x103662,x103665,x103667)+E(f329(f329(f41(x103661,f916(x103662,a903)),x103663),f329(f329(f8(f916(x103664,a903),f916(x103662,a903),x103661),f312(x103664,x103662,x103665)),x103666)),f329(f312(x103664,x103662,x103665),f329(f329(f41(x103661,f916(x103664,a903)),x103663),x103666)))+~P1(f329(f329(f331(x103661),x103668),x103663))+~P1(f329(f329(f240(f916(x103664,a903)),f329(x103666,f644(x103668,x103666,x103663,x103661,x103667,x103665,x103662,x103664))),x103667))
% 191.26/191.48 [9876]~P28(x98767,x98765,x98761,x98768,x98762,x98764)+~P1(f329(f62(x98765),x98766))+~P1(f329(f329(f331(x98765),x98763),x98766))+E(f329(f329(x98761,f329(x98762,x98763)),f329(x98764,f329(f329(f23(f916(x98765,a903)),x98766),f329(f329(f311(x98765),x98763),f191(f916(x98765,a903)))))),f329(x98764,x98766))
% 191.26/191.48 [9884]~P28(x98846,x98843,x98841,x98847,x98848,x98842)+~P1(f329(f62(x98843),x98845))+~P1(f329(f62(x98843),x98844))+E(f329(f329(x98841,f329(x98842,f329(f329(f115(f916(x98843,a903)),x98844),x98845))),f329(x98842,f329(f329(f106(f916(x98843,a903)),x98844),x98845))),f329(f329(x98841,f329(x98842,x98844)),f329(x98842,x98845)))
% 191.26/191.48 [9968]P50(x99681,x99682,x99683,x99684,x99685,f329(f329(x99683,x99686),x99687))+~P50(x99681,x99682,x99683,x99684,f329(f329(f23(f916(x99681,a903)),x99685),f329(f329(f311(x99681),x99688),f191(f916(x99681,a903)))),x99689)+~E(f329(f329(x99683,x99686),x99687),f329(f329(x99683,x99688),x99689))+~P1(f329(f329(f331(x99681),x99688),x99685))
% 191.26/191.48 [10377]P29(x103771,x103772,f329(f329(f311(f907(x103771)),f329(f329(f329(f93(x103771),f329(x103773,f647(x103774,x103775,x103776,x103777,x103773,x103772,x103771,x103778,x103779))),f329(x103777,f647(x103774,x103775,x103776,x103777,x103773,x103772,x103771,x103778,x103779))),f329(x103776,f647(x103774,x103775,x103776,x103777,x103773,x103772,x103771,x103778,x103779)))),f191(f916(f907(x103771),a903))))+~P1(f329(f62(x103779),x103778))+~P29(x103771,x103772,f329(f312(x103779,f907(x103771),f329(f329(f18(x103779,f916(x103771,f916(a905,a903)),f907(x103771)),f329(f329(f18(x103779,a904,f916(f916(x103771,f916(a905,a903)),f907(x103771))),f329(f329(f8(f916(x103771,f916(a905,a903)),f916(a904,f916(f916(x103771,f916(a905,a903)),f907(x103771))),x103779),f93(x103771)),x103773)),x103777)),x103776)),x103778))+P29(x103771,x103772,f329(f312(x103779,f907(x103771),f329(f329(f18(x103779,f916(x103771,f916(a905,a903)),f907(x103771)),f329(f329(f18(x103779,a904,f916(f916(x103771,f916(a905,a903)),f907(x103771))),f329(f329(f8(f916(x103771,f916(a905,a903)),f916(a904,f916(f916(x103771,f916(a905,a903)),f907(x103771))),x103779),f93(x103771)),x103775)),x103777)),x103774)),x103778))
% 191.26/191.48 [10378]~P29(x103781,x103782,f329(f329(f311(f907(x103781)),f329(f329(f329(f93(x103781),f329(x103784,f647(x103786,x103784,x103788,x103785,x103789,x103782,x103781,x103787,x103783))),f329(x103785,f647(x103786,x103784,x103788,x103785,x103789,x103782,x103781,x103787,x103783))),f329(x103786,f647(x103786,x103784,x103788,x103785,x103789,x103782,x103781,x103787,x103783)))),f191(f916(f907(x103781),a903))))+~P1(f329(f62(x103783),x103787))+~P29(x103781,x103782,f329(f312(x103783,f907(x103781),f329(f329(f18(x103783,f916(x103781,f916(a905,a903)),f907(x103781)),f329(f329(f18(x103783,a904,f916(f916(x103781,f916(a905,a903)),f907(x103781))),f329(f329(f8(f916(x103781,f916(a905,a903)),f916(a904,f916(f916(x103781,f916(a905,a903)),f907(x103781))),x103783),f93(x103781)),x103789)),x103785)),x103788)),x103787))+P29(x103781,x103782,f329(f312(x103783,f907(x103781),f329(f329(f18(x103783,f916(x103781,f916(a905,a903)),f907(x103781)),f329(f329(f18(x103783,a904,f916(f916(x103781,f916(a905,a903)),f907(x103781))),f329(f329(f8(f916(x103781,f916(a905,a903)),f916(a904,f916(f916(x103781,f916(a905,a903)),f907(x103781))),x103783),f93(x103781)),x103784)),x103785)),x103786)),x103787))
% 191.26/191.48 [9910]~P17(x99106,x99107,x99108,x99109,x991010,x99101)+E(f329(f329(x99101,x99102),x99103),f329(f329(x99101,x99104),x99105))+~P1(f329(f329(f331(f915(x99107,x99107)),f329(f329(f257(x99107,x99107),x99103),x99105)),x991010))+~P1(f329(f329(f331(f915(x99106,x99106)),f329(f329(f257(x99106,x99106),x99102),x99104)),x99109))
% 191.26/191.48 [9510]~P2(x95102)+E(x95101,f191(f916(x95102,a903)))+~P1(f329(f62(x95102),x95101))+P1(f329(f329(f331(x95102),f10(x95102,x95101)),x95101))+~P1(f329(f329(f331(x95102),f329(f329(f106(x95102),f879(x95101,x95102)),f881(x95101,x95102))),f329(f329(f311(x95102),f879(x95101,x95102)),f329(f329(f311(x95102),f881(x95101,x95102)),f191(f916(x95102,a903))))))
% 191.26/191.48 [9511]~P2(x95112)+E(x95111,f191(f916(x95112,a903)))+~P1(f329(f62(x95112),x95111))+P1(f329(f329(f331(x95112),f13(x95112,x95111)),x95111))+~P1(f329(f329(f331(x95112),f329(f329(f115(x95112),f882(x95111,x95112)),f883(x95111,x95112))),f329(f329(f311(x95112),f882(x95111,x95112)),f329(f329(f311(x95112),f883(x95111,x95112)),f191(f916(x95112,a903))))))
% 191.26/191.48 [9542]~P76(x95422)+E(x95421,f191(f916(x95422,a903)))+~P1(f329(f62(x95422),x95421))+P1(f329(f329(f331(x95422),f329(f64(x95422,f83(x95422)),x95421)),x95421))+~P1(f329(f329(f331(x95422),f329(f329(f83(x95422),f531(x95421,x95422)),f532(x95421,x95422))),f329(f329(f311(x95422),f531(x95421,x95422)),f329(f329(f311(x95422),f532(x95421,x95422)),f191(f916(x95422,a903))))))
% 191.26/191.48 [9548]~P112(x95482)+E(x95481,f191(f916(x95482,a903)))+~P1(f329(f62(x95482),x95481))+P1(f329(f329(f331(x95482),f11(x95482,f238(x95482),x95481)),x95481))+~P1(f329(f329(f331(x95482),f329(f329(f238(x95482),f361(x95481,x95482)),f362(x95481,x95482))),f329(f329(f311(x95482),f361(x95481,x95482)),f329(f329(f311(x95482),f362(x95481,x95482)),f191(f916(x95482,a903))))))
% 191.26/191.48 [9549]~P112(x95492)+E(x95491,f191(f916(x95492,a903)))+~P1(f329(f62(x95492),x95491))+P1(f329(f329(f331(x95492),f12(x95492,f239(x95492),x95491)),x95491))+~P1(f329(f329(f331(x95492),f329(f329(f239(x95492),f377(x95491,x95492)),f378(x95491,x95492))),f329(f329(f311(x95492),f377(x95491,x95492)),f329(f329(f311(x95492),f378(x95491,x95492)),f191(f916(x95492,a903))))))
% 191.26/191.48 [6641]~P90(x66412)+E(x66411,f2(x66412))+~E(f329(f329(f82(x66412),x66413),x66411),f2(x66412))+~P1(f329(f329(f240(x66412),f2(x66412)),x66413))+~P1(f329(f329(f240(x66412),f2(x66412)),x66411))
% 191.26/191.48 [6642]~P90(x66422)+E(x66421,f2(x66422))+~E(f329(f329(f82(x66422),x66421),x66423),f2(x66422))+~P1(f329(f329(f240(x66422),f2(x66422)),x66423))+~P1(f329(f329(f240(x66422),f2(x66422)),x66421))
% 191.26/191.48 [7169]~P112(x71692)+~P18(x71692,x71691)+E(x71691,f118(x71692))+~P1(f329(f329(f331(x71692),x71693),f329(f175(x71692),f732(x71691,x71692))))+P1(f329(f329(f240(x71692),f752(x71691,x71692)),x71693))
% 191.26/191.48 [7338]~P112(x73381)+E(f14(x73381,x73382),x73383)+~P1(f329(f62(x73381),x73382))+~P1(f329(f329(f240(x73381),x73383),f589(x73383,x73382,x73381)))+~P1(f329(f329(f331(x73381),x73383),x73382))
% 191.26/191.48 [7374]~P112(x73741)+~P18(x73741,x73742)+~P18(x73741,x73743)+P18(x73741,f329(f329(f137(x73741),x73742),x73743))+P1(f329(f329(f331(x73741),f739(x73743,x73742,x73741)),f329(f175(x73741),x73742)))
% 191.26/191.48 [7375]~P112(x73751)+~P18(x73751,x73752)+~P18(x73751,x73753)+P18(x73751,f329(f329(f137(x73751),x73752),x73753))+P1(f329(f329(f331(x73751),f740(x73753,x73752,x73751)),f329(f175(x73751),x73753)))
% 191.26/191.48 [7436]~P112(x74361)+E(f14(x74361,x74362),x74363)+~P1(f329(f62(x74361),x74362))+P1(f329(f329(f331(x74361),f589(x74363,x74362,x74361)),x74362))+~P1(f329(f329(f331(x74361),x74363),x74362))
% 191.26/191.48 [7437]~P112(x74371)+E(f15(x74371,x74372),x74373)+~P1(f329(f62(x74371),x74372))+P1(f329(f329(f331(x74371),f590(x74373,x74372,x74371)),x74372))+~P1(f329(f329(f331(x74371),x74373),x74372))
% 191.26/191.48 [8022]~P112(x80221)+E(f15(x80221,x80222),x80223)+~P1(f329(f62(x80221),x80222))+~P1(f329(f329(f331(x80221),x80223),x80222))+~P1(f329(f329(f240(x80221),f590(x80223,x80222,x80221)),x80223))
% 191.26/191.48 [8350]~P112(x83501)+~P18(x83501,x83502)+~P18(x83501,x83503)+P18(x83501,f329(f329(f137(x83501),x83502),x83503))+~P1(f329(f329(f240(x83501),f739(x83503,x83502,x83501)),f740(x83503,x83502,x83501)))
% 191.26/191.48 [9142]~P2(x91422)+E(x91421,f191(f916(x91422,a903)))+~E(f329(f329(f106(x91422),f329(x91423,f889(x91421,x91423,x91422))),f329(x91423,f892(x91421,x91423,x91422))),f329(x91423,f329(f329(f106(x91422),f889(x91421,x91423,x91422)),f892(x91421,x91423,x91422))))+E(f10(x91422,f329(f312(x91422,x91422,x91423),x91421)),f329(x91423,f10(x91422,x91421)))+~P1(f329(f62(x91422),x91421))
% 191.26/191.48 [9143]~P2(x91432)+E(x91431,f191(f916(x91432,a903)))+~E(f329(f329(f115(x91432),f329(x91433,f893(x91431,x91433,x91432))),f329(x91433,f895(x91431,x91433,x91432))),f329(x91433,f329(f329(f115(x91432),f893(x91431,x91433,x91432)),f895(x91431,x91433,x91432))))+E(f13(x91432,f329(f312(x91432,x91432,x91433),x91431)),f329(x91433,f13(x91432,x91431)))+~P1(f329(f62(x91432),x91431))
% 191.26/191.48 [9144]~P112(x91442)+E(x91441,f191(f916(x91442,a903)))+~E(f329(f329(f238(x91442),f329(x91443,f382(x91441,x91443,x91442))),f329(x91443,f386(x91441,x91443,x91442))),f329(x91443,f329(f329(f238(x91442),f382(x91441,x91443,x91442)),f386(x91441,x91443,x91442))))+E(f14(x91442,f329(f312(x91442,x91442,x91443),x91441)),f329(x91443,f14(x91442,x91441)))+~P1(f329(f62(x91442),x91441))
% 191.26/191.48 [9145]~P112(x91452)+E(x91451,f191(f916(x91452,a903)))+~E(f329(f329(f239(x91452),f329(x91453,f383(x91451,x91453,x91452))),f329(x91453,f385(x91451,x91453,x91452))),f329(x91453,f329(f329(f239(x91452),f383(x91451,x91453,x91452)),f385(x91451,x91453,x91452))))+E(f15(x91452,f329(f312(x91452,x91452,x91453),x91451)),f329(x91453,f15(x91452,x91451)))+~P1(f329(f62(x91452),x91451))
% 191.26/191.48 [9214]~P112(x92142)+E(x92141,f191(f916(x92142,a903)))+~E(f329(f329(f238(x92142),f329(x92143,f374(x92141,x92143,x92142))),f329(x92143,f384(x92141,x92143,x92142))),f329(x92143,f329(f329(f238(x92142),f374(x92141,x92143,x92142)),f384(x92141,x92143,x92142))))+E(f11(x92142,f238(x92142),f329(f312(x92142,x92142,x92143),x92141)),f329(x92143,f11(x92142,f238(x92142),x92141)))+~P1(f329(f62(x92142),x92141))
% 191.26/191.48 [9215]~P112(x92152)+E(x92151,f191(f916(x92152,a903)))+~E(f329(f329(f239(x92152),f329(x92153,f375(x92151,x92153,x92152))),f329(x92153,f380(x92151,x92153,x92152))),f329(x92153,f329(f329(f239(x92152),f375(x92151,x92153,x92152)),f380(x92151,x92153,x92152))))+E(f12(x92152,f239(x92152),f329(f312(x92152,x92152,x92153),x92151)),f329(x92153,f12(x92152,f239(x92152),x92151)))+~P1(f329(f62(x92152),x92151))
% 191.26/191.48 [6657]~P76(x66572)+E(x66571,f191(f916(x66572,a903)))+~P1(f329(f62(x66572),x66571))+E(f329(f64(x66572,f83(x66572)),f329(f329(f311(x66572),x66573),x66571)),f329(f329(f83(x66572),x66573),f329(f64(x66572,f83(x66572)),x66571)))+P1(f329(f329(f331(x66572),x66573),x66571))
% 191.26/191.48 [7175]~P2(x71752)+E(f329(f329(f115(x71752),f13(x71752,x71751)),f13(x71752,x71753)),f13(x71752,x71753))+E(x71751,f191(f916(x71752,a903)))+~P1(f329(f62(x71752),x71753))+~P1(f329(f329(f240(f916(x71752,a903)),x71751),x71753))
% 191.26/191.48 [7176]~P2(x71762)+E(f329(f329(f106(x71762),f10(x71762,x71761)),f10(x71762,x71763)),f10(x71762,x71763))+E(x71761,f191(f916(x71762,a903)))+~P1(f329(f62(x71762),x71763))+~P1(f329(f329(f240(f916(x71762,a903)),x71761),x71763))
% 191.26/191.48 [7177]~P112(x71772)+E(f329(f329(f238(x71772),f14(x71772,x71771)),f14(x71772,x71773)),f14(x71772,x71773))+E(x71771,f191(f916(x71772,a903)))+~P1(f329(f62(x71772),x71773))+~P1(f329(f329(f240(f916(x71772,a903)),x71771),x71773))
% 191.26/191.48 [7178]~P112(x71782)+E(f329(f329(f239(x71782),f15(x71782,x71781)),f15(x71782,x71783)),f15(x71782,x71783))+E(x71781,f191(f916(x71782,a903)))+~P1(f329(f62(x71782),x71783))+~P1(f329(f329(f240(f916(x71782,a903)),x71781),x71783))
% 191.26/191.48 [7488]~P112(x74882)+E(x74881,f191(f916(x74882,a903)))+~P1(f329(f62(x74882),x74883))+P1(f329(f329(f240(x74882),f14(x74882,x74883)),f14(x74882,x74881)))+~P1(f329(f329(f240(f916(x74882,a903)),x74881),x74883))
% 191.26/191.48 [7489]~P112(x74892)+E(x74891,f191(f916(x74892,a903)))+~P1(f329(f62(x74892),x74893))+P1(f329(f329(f240(x74892),f15(x74892,x74891)),f15(x74892,x74893)))+~P1(f329(f329(f240(f916(x74892,a903)),x74891),x74893))
% 191.26/191.48 [7545]~P2(x75451)+E(f10(x75451,x75452),x75453)+~P1(f329(f62(x75451),x75452))+~E(f329(f329(f23(f916(x75451,a903)),x75452),f329(f329(f311(x75451),x75453),f191(f916(x75451,a903)))),f191(f916(x75451,a903)))+~P1(f329(f329(f331(x75451),x75453),x75452))
% 191.26/191.48 [7546]~P2(x75461)+E(f13(x75461,x75462),x75463)+~P1(f329(f62(x75461),x75462))+~E(f329(f329(f23(f916(x75461,a903)),x75462),f329(f329(f311(x75461),x75463),f191(f916(x75461,a903)))),f191(f916(x75461,a903)))+~P1(f329(f329(f331(x75461),x75463),x75462))
% 191.26/191.48 [7547]~P112(x75471)+E(f14(x75471,x75472),x75473)+~P1(f329(f62(x75471),x75472))+~E(f329(f329(f23(f916(x75471,a903)),x75472),f329(f329(f311(x75471),x75473),f191(f916(x75471,a903)))),f191(f916(x75471,a903)))+~P1(f329(f329(f331(x75471),x75473),x75472))
% 191.26/191.48 [7548]~P112(x75481)+E(f15(x75481,x75482),x75483)+~P1(f329(f62(x75481),x75482))+~E(f329(f329(f23(f916(x75481,a903)),x75482),f329(f329(f311(x75481),x75483),f191(f916(x75481,a903)))),f191(f916(x75481,a903)))+~P1(f329(f329(f331(x75481),x75483),x75482))
% 191.26/191.48 [7645]~P112(x76451)+E(f11(x76451,f238(x76451),x76452),x76453)+~P1(f329(f62(x76451),x76452))+~E(f329(f329(f23(f916(x76451,a903)),x76452),f329(f329(f311(x76451),x76453),f191(f916(x76451,a903)))),f191(f916(x76451,a903)))+~P1(f329(f329(f331(x76451),x76453),x76452))
% 191.26/191.48 [7646]~P112(x76461)+E(f12(x76461,f239(x76461),x76462),x76463)+~P1(f329(f62(x76461),x76462))+~E(f329(f329(f23(f916(x76461,a903)),x76462),f329(f329(f311(x76461),x76463),f191(f916(x76461,a903)))),f191(f916(x76461,a903)))+~P1(f329(f329(f331(x76461),x76463),x76462))
% 191.26/191.48 [7681]~P104(x76812)+E(x76811,f191(f916(x76812,a903)))+~P1(f329(f62(x76812),x76811))+~P1(f329(f329(f240(x76812),x76813),f507(x76813,x76811,x76812)))+P1(f329(f329(f240(x76812),x76813),f329(f64(x76812,f106(x76812)),x76811)))
% 191.26/191.48 [7682]~P112(x76822)+E(x76821,f191(f916(x76822,a903)))+~P1(f329(f62(x76822),x76821))+~P1(f329(f329(f240(x76822),x76823),f525(x76823,x76821,x76822)))+P1(f329(f329(f240(x76822),x76823),f329(f64(x76822,f238(x76822)),x76821)))
% 191.26/191.48 [7683]~P112(x76832)+E(x76831,f191(f916(x76832,a903)))+~P1(f329(f62(x76832),x76831))+~P1(f329(f329(f241(x76832),x76833),f526(x76833,x76831,x76832)))+P1(f329(f329(f241(x76832),x76833),f329(f64(x76832,f238(x76832)),x76831)))
% 191.26/191.48 [7769]~P104(x77692)+E(x77691,f191(f916(x77692,a903)))+~P1(f329(f62(x77692),x77691))+P1(f329(f329(f331(x77692),f507(x77693,x77691,x77692)),x77691))+P1(f329(f329(f240(x77692),x77693),f329(f64(x77692,f106(x77692)),x77691)))
% 191.26/191.48 [7770]~P112(x77702)+E(x77701,f191(f916(x77702,a903)))+~P1(f329(f62(x77702),x77701))+P1(f329(f329(f331(x77702),f525(x77703,x77701,x77702)),x77701))+P1(f329(f329(f240(x77702),x77703),f329(f64(x77702,f238(x77702)),x77701)))
% 191.26/191.48 [7771]~P112(x77712)+E(x77711,f191(f916(x77712,a903)))+~P1(f329(f62(x77712),x77711))+P1(f329(f329(f331(x77712),f526(x77713,x77711,x77712)),x77711))+P1(f329(f329(f241(x77712),x77713),f329(f64(x77712,f238(x77712)),x77711)))
% 191.26/191.48 [7894]~P112(x78942)+E(x78941,f191(f916(x78942,a903)))+E(f329(f329(f238(x78942),f11(x78942,f238(x78942),x78941)),f11(x78942,f238(x78942),x78943)),f11(x78942,f238(x78942),x78943))+~P1(f329(f62(x78942),x78943))+~P1(f329(f329(f240(f916(x78942,a903)),x78941),x78943))
% 191.26/191.48 [7895]~P112(x78952)+E(x78951,f191(f916(x78952,a903)))+E(f329(f329(f239(x78952),f12(x78952,f239(x78952),x78951)),f12(x78952,f239(x78952),x78953)),f12(x78952,f239(x78952),x78953))+~P1(f329(f62(x78952),x78953))+~P1(f329(f329(f240(f916(x78952,a903)),x78951),x78953))
% 191.26/191.48 [8102]~E(f641(x81021,x81023,x81022),f642(x81021,x81023,x81022))+~E(f329(f36(x81022),f643(x81021,x81023,x81022)),x81021)+E(f329(f329(f83(a908),x81021),f329(f36(f916(x81022,a903)),x81023)),f329(f36(x81022),f38(f916(x81022,a903),x81023)))+~P1(f329(f62(x81022),f38(f916(x81022,a903),x81023)))+~P1(f329(f62(f916(x81022,a903)),x81023))
% 191.26/191.48 [8288]~P112(x82882)+E(x82881,f191(f916(x82882,a903)))+~P1(f329(f62(x82882),x82883))+P1(f329(f329(f240(x82882),f329(f64(x82882,f238(x82882)),x82883)),f329(f64(x82882,f238(x82882)),x82881)))+~P1(f329(f329(f240(f916(x82882,a903)),x82881),x82883))
% 191.26/191.48 [8597]~E(f641(x85971,x85973,x85972),f642(x85971,x85973,x85972))+E(f329(f329(f83(a908),x85971),f329(f36(f916(x85972,a903)),x85973)),f329(f36(x85972),f38(f916(x85972,a903),x85973)))+P1(f329(f329(f331(f916(x85972,a903)),f643(x85971,x85973,x85972)),x85973))+~P1(f329(f62(x85972),f38(f916(x85972,a903),x85973)))+~P1(f329(f62(f916(x85972,a903)),x85973))
% 191.26/191.48 [8626]~E(f329(f36(x86262),f643(x86261,x86263,x86262)),x86261)+E(f329(f329(f83(a908),x86261),f329(f36(f916(x86262,a903)),x86263)),f329(f36(x86262),f38(f916(x86262,a903),x86263)))+P1(f329(f329(f331(f916(x86262,a903)),f642(x86261,x86263,x86262)),x86263))+~P1(f329(f62(x86262),f38(f916(x86262,a903),x86263)))+~P1(f329(f62(f916(x86262,a903)),x86263))
% 191.26/191.48 [8627]~E(f329(f36(x86272),f643(x86271,x86273,x86272)),x86271)+E(f329(f329(f83(a908),x86271),f329(f36(f916(x86272,a903)),x86273)),f329(f36(x86272),f38(f916(x86272,a903),x86273)))+P1(f329(f329(f331(f916(x86272,a903)),f641(x86271,x86273,x86272)),x86273))+~P1(f329(f62(x86272),f38(f916(x86272,a903),x86273)))+~P1(f329(f62(f916(x86272,a903)),x86273))
% 191.26/191.48 [8656]~E(f329(f36(x86562),f643(x86561,x86563,x86562)),x86561)+~E(f329(f329(f106(f916(x86562,a903)),f642(x86561,x86563,x86562)),f641(x86561,x86563,x86562)),f191(f916(x86562,a903)))+E(f329(f329(f83(a908),x86561),f329(f36(f916(x86562,a903)),x86563)),f329(f36(x86562),f38(f916(x86562,a903),x86563)))+~P1(f329(f62(f916(x86562,a903)),x86563))+~P1(f329(f62(x86562),f38(f916(x86562,a903),x86563)))
% 191.26/191.48 [8903]E(f329(f329(f83(a908),x89031),f329(f36(f916(x89032,a903)),x89033)),f329(f36(x89032),f38(f916(x89032,a903),x89033)))+P1(f329(f329(f331(f916(x89032,a903)),f643(x89031,x89033,x89032)),x89033))+P1(f329(f329(f331(f916(x89032,a903)),f642(x89031,x89033,x89032)),x89033))+~P1(f329(f62(f916(x89032,a903)),x89033))+~P1(f329(f62(x89032),f38(f916(x89032,a903),x89033)))
% 191.26/191.48 [8904]E(f329(f329(f83(a908),x89041),f329(f36(f916(x89042,a903)),x89043)),f329(f36(x89042),f38(f916(x89042,a903),x89043)))+P1(f329(f329(f331(f916(x89042,a903)),f643(x89041,x89043,x89042)),x89043))+P1(f329(f329(f331(f916(x89042,a903)),f641(x89041,x89043,x89042)),x89043))+~P1(f329(f62(f916(x89042,a903)),x89043))+~P1(f329(f62(x89042),f38(f916(x89042,a903),x89043)))
% 191.26/191.48 [8928]~E(f329(f329(f106(f916(x89282,a903)),f642(x89281,x89283,x89282)),f641(x89281,x89283,x89282)),f191(f916(x89282,a903)))+E(f329(f329(f83(a908),x89281),f329(f36(f916(x89282,a903)),x89283)),f329(f36(x89282),f38(f916(x89282,a903),x89283)))+~P1(f329(f62(f916(x89282,a903)),x89283))+P1(f329(f329(f331(f916(x89282,a903)),f643(x89281,x89283,x89282)),x89283))+~P1(f329(f62(x89282),f38(f916(x89282,a903),x89283)))
% 191.26/191.48 [9190]~P99(x91902)+E(x91901,f191(f916(x91902,a903)))+~E(f329(f329(f83(x91902),f329(x91903,f530(x91901,x91903,x91902))),f329(x91903,f533(x91901,x91903,x91902))),f329(x91903,f329(f329(f83(x91902),f530(x91901,x91903,x91902)),f533(x91901,x91903,x91902))))+~P1(f329(f62(x91902),x91901))+E(f329(f64(x91902,f83(x91902)),f329(f312(x91902,x91902,x91903),x91901)),f329(x91903,f329(f64(x91902,f83(x91902)),x91901)))
% 191.26/191.48 [10115]P1(f329(f329(x101151,x101152),x101153))+P1(f329(f329(f241(a1),f370(x101151,x101153,x101152)),f371(x101151,x101153,x101152)))+P1(f329(f329(f240(a1),f371(x101151,x101153,x101152)),f2(a1)))+P1(f329(f329(x101151,f370(x101151,x101153,x101152)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f371(x101151,x101153,x101152))))+~P1(f329(f317(f915(a1,a1),a59),f329(f329(f257(a1,a1),x101152),x101153)))
% 191.26/191.48 [10121]P1(f329(f329(x101211,x101212),x101213))+P1(f329(f329(f240(a1),f369(x101211,x101213,x101212)),f2(a1)))+P1(f329(f329(x101211,f368(x101211,x101213,x101212)),f329(f329(f83(a1),f329(f108(a1),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f369(x101211,x101213,x101212))))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),f368(x101211,x101213,x101212)),f369(x101211,x101213,x101212))))+~P1(f329(f317(f915(a1,a1),a53),f329(f329(f257(a1,a1),x101212),x101213)))
% 191.26/191.48 [8072]~P121(x80721)+~P1(f329(f329(f240(x80721),x80722),f80(x80721)))+~P1(f329(f329(f240(x80721),f2(x80721)),x80722))+~P1(f329(f329(f240(x80721),f2(x80721)),x80723))+P1(f329(f329(f240(x80721),f329(f329(f83(x80721),x80722),x80723)),x80723))
% 191.26/191.48 [8073]~P121(x80731)+~P1(f329(f329(f240(x80731),x80733),f80(x80731)))+~P1(f329(f329(f240(x80731),f2(x80731)),x80733))+~P1(f329(f329(f240(x80731),f2(x80731)),x80732))+P1(f329(f329(f240(x80731),f329(f329(f83(x80731),x80732),x80733)),x80732))
% 191.26/191.48 [8438]~P112(x84382)+E(x84381,f191(f916(x84382,a903)))+~P1(f329(f62(x84382),x84381))+P1(f329(f329(f331(x84382),f527(x84383,x84381,x84382)),x84381))+~P1(f329(f329(f240(x84382),f329(f64(x84382,f238(x84382)),x84381)),x84383))
% 191.26/191.48 [8439]~P112(x84392)+E(x84391,f191(f916(x84392,a903)))+~P1(f329(f62(x84392),x84391))+P1(f329(f329(f331(x84392),f529(x84393,x84391,x84392)),x84391))+~P1(f329(f329(f241(x84392),f329(f64(x84392,f238(x84392)),x84391)),x84393))
% 191.26/191.48 [8440]~P112(x84402)+E(x84401,f191(f916(x84402,a903)))+~P1(f329(f62(x84402),x84401))+P1(f329(f329(f240(x84402),f527(x84403,x84401,x84402)),x84403))+~P1(f329(f329(f240(x84402),f329(f64(x84402,f238(x84402)),x84401)),x84403))
% 191.26/191.48 [8441]~P112(x84412)+E(x84411,f191(f916(x84412,a903)))+~P1(f329(f62(x84412),x84411))+P1(f329(f329(f241(x84412),f529(x84413,x84411,x84412)),x84413))+~P1(f329(f329(f241(x84412),f329(f64(x84412,f238(x84412)),x84411)),x84413))
% 191.26/191.48 [8525]~P1(f329(x85251,x85253))+P1(f329(x85251,f431(x85251,x85252)))+P1(f329(x85251,f430(x85251,x85252)))+~P1(f329(f329(f241(a1),f2(a1)),x85252))+P1(f329(x85251,f329(f329(f23(a1),f430(x85251,x85252)),f329(f329(f83(a1),f432(x85251,x85252)),x85252))))
% 191.26/191.48 [8753]~P1(f329(x87531,x87533))+P1(f329(x87531,f430(x87531,x87532)))+~P1(f329(f329(f241(a1),f2(a1)),x87532))+P1(f329(f329(f331(a1),f431(x87531,x87532)),f305(a1,f80(a1),x87532)))+P1(f329(x87531,f329(f329(f23(a1),f430(x87531,x87532)),f329(f329(f83(a1),f432(x87531,x87532)),x87532))))
% 191.26/191.48 [8950]~P1(f329(x89501,x89503))+~P1(f329(x89501,f430(x89501,x89502)))+P1(f329(x89501,f431(x89501,x89502)))+~P1(f329(f329(f241(a1),f2(a1)),x89502))+~P1(f329(x89501,f329(f329(f23(a1),f430(x89501,x89502)),f329(f329(f83(a1),f432(x89501,x89502)),x89502))))
% 191.26/191.48 [9079]~P1(f329(x90791,x90793))+~P1(f329(x90791,f430(x90791,x90792)))+~P1(f329(f329(f241(a1),f2(a1)),x90792))+P1(f329(f329(f331(a1),f431(x90791,x90792)),f305(a1,f80(a1),x90792)))+~P1(f329(x90791,f329(f329(f23(a1),f430(x90791,x90792)),f329(f329(f83(a1),f432(x90791,x90792)),x90792))))
% 191.26/191.48 [8860]~P2(x88601)+~P1(f329(f62(x88601),x88602))+E(f329(f329(f23(f916(x88601,a903)),x88602),f329(f329(f311(x88601),x88603),f191(f916(x88601,a903)))),f191(f916(x88601,a903)))+~P1(f329(f329(f331(x88601),x88603),x88602))+E(f329(f329(f106(x88601),x88603),f10(x88601,f329(f329(f23(f916(x88601,a903)),x88602),f329(f329(f311(x88601),x88603),f191(f916(x88601,a903)))))),f10(x88601,x88602))
% 191.26/191.48 [8861]~P2(x88611)+~P1(f329(f62(x88611),x88612))+E(f329(f329(f23(f916(x88611,a903)),x88612),f329(f329(f311(x88611),x88613),f191(f916(x88611,a903)))),f191(f916(x88611,a903)))+~P1(f329(f329(f331(x88611),x88613),x88612))+E(f329(f329(f115(x88611),x88613),f13(x88611,f329(f329(f23(f916(x88611,a903)),x88612),f329(f329(f311(x88611),x88613),f191(f916(x88611,a903)))))),f13(x88611,x88612))
% 191.26/191.48 [8862]~P112(x88621)+~P1(f329(f62(x88621),x88622))+E(f329(f329(f23(f916(x88621,a903)),x88622),f329(f329(f311(x88621),x88623),f191(f916(x88621,a903)))),f191(f916(x88621,a903)))+~P1(f329(f329(f331(x88621),x88623),x88622))+E(f329(f329(f238(x88621),x88623),f14(x88621,f329(f329(f23(f916(x88621,a903)),x88622),f329(f329(f311(x88621),x88623),f191(f916(x88621,a903)))))),f14(x88621,x88622))
% 191.26/191.48 [8863]~P112(x88631)+~P1(f329(f62(x88631),x88632))+E(f329(f329(f23(f916(x88631,a903)),x88632),f329(f329(f311(x88631),x88633),f191(f916(x88631,a903)))),f191(f916(x88631,a903)))+~P1(f329(f329(f331(x88631),x88633),x88632))+E(f329(f329(f239(x88631),x88633),f15(x88631,f329(f329(f23(f916(x88631,a903)),x88632),f329(f329(f311(x88631),x88633),f191(f916(x88631,a903)))))),f15(x88631,x88632))
% 191.26/191.48 [8923]~P112(x89231)+~P1(f329(f62(x89231),x89232))+E(f329(f329(f23(f916(x89231,a903)),x89232),f329(f329(f311(x89231),x89233),f191(f916(x89231,a903)))),f191(f916(x89231,a903)))+~P1(f329(f329(f331(x89231),x89233),x89232))+E(f329(f329(f238(x89231),x89233),f11(x89231,f238(x89231),f329(f329(f23(f916(x89231,a903)),x89232),f329(f329(f311(x89231),x89233),f191(f916(x89231,a903)))))),f11(x89231,f238(x89231),x89232))
% 191.26/191.48 [8924]~P112(x89241)+~P1(f329(f62(x89241),x89242))+E(f329(f329(f23(f916(x89241,a903)),x89242),f329(f329(f311(x89241),x89243),f191(f916(x89241,a903)))),f191(f916(x89241,a903)))+~P1(f329(f329(f331(x89241),x89243),x89242))+E(f329(f329(f239(x89241),x89243),f12(x89241,f239(x89241),f329(f329(f23(f916(x89241,a903)),x89242),f329(f329(f311(x89241),x89243),f191(f916(x89241,a903)))))),f12(x89241,f239(x89241),x89242))
% 191.26/191.48 [8937]~P2(x89371)+~P1(f329(f62(x89371),x89373))+~P1(f329(f62(x89371),x89372))+E(f329(f329(f106(f916(x89371,a903)),x89372),x89373),f191(f916(x89371,a903)))+E(f329(f329(f115(x89371),f13(x89371,f329(f329(f115(f916(x89371,a903)),x89372),x89373))),f13(x89371,f329(f329(f106(f916(x89371,a903)),x89372),x89373))),f329(f329(f115(x89371),f13(x89371,x89372)),f13(x89371,x89373)))
% 191.26/191.48 [8938]~P2(x89381)+~P1(f329(f62(x89381),x89383))+~P1(f329(f62(x89381),x89382))+E(f329(f329(f106(f916(x89381,a903)),x89382),x89383),f191(f916(x89381,a903)))+E(f329(f329(f106(x89381),f10(x89381,f329(f329(f115(f916(x89381,a903)),x89382),x89383))),f10(x89381,f329(f329(f106(f916(x89381,a903)),x89382),x89383))),f329(f329(f106(x89381),f10(x89381,x89382)),f10(x89381,x89383)))
% 191.26/191.48 [8939]~P112(x89391)+~P1(f329(f62(x89391),x89393))+~P1(f329(f62(x89391),x89392))+E(f329(f329(f106(f916(x89391,a903)),x89392),x89393),f191(f916(x89391,a903)))+E(f329(f329(f238(x89391),f14(x89391,f329(f329(f115(f916(x89391,a903)),x89392),x89393))),f14(x89391,f329(f329(f106(f916(x89391,a903)),x89392),x89393))),f329(f329(f238(x89391),f14(x89391,x89392)),f14(x89391,x89393)))
% 191.26/191.48 [8940]~P112(x89401)+~P1(f329(f62(x89401),x89403))+~P1(f329(f62(x89401),x89402))+E(f329(f329(f106(f916(x89401,a903)),x89402),x89403),f191(f916(x89401,a903)))+E(f329(f329(f239(x89401),f15(x89401,f329(f329(f115(f916(x89401,a903)),x89402),x89403))),f15(x89401,f329(f329(f106(f916(x89401,a903)),x89402),x89403))),f329(f329(f239(x89401),f15(x89401,x89402)),f15(x89401,x89403)))
% 191.26/191.48 [9162]~P112(x91621)+~P1(f329(f62(x91621),x91623))+~P1(f329(f62(x91621),x91622))+E(f329(f329(f106(f916(x91621,a903)),x91622),x91623),f191(f916(x91621,a903)))+E(f329(f329(f238(x91621),f11(x91621,f238(x91621),f329(f329(f115(f916(x91621,a903)),x91622),x91623))),f11(x91621,f238(x91621),f329(f329(f106(f916(x91621,a903)),x91622),x91623))),f329(f329(f238(x91621),f11(x91621,f238(x91621),x91622)),f11(x91621,f238(x91621),x91623)))
% 191.26/191.48 [9163]~P112(x91631)+~P1(f329(f62(x91631),x91633))+~P1(f329(f62(x91631),x91632))+E(f329(f329(f106(f916(x91631,a903)),x91632),x91633),f191(f916(x91631,a903)))+E(f329(f329(f239(x91631),f12(x91631,f239(x91631),f329(f329(f115(f916(x91631,a903)),x91632),x91633))),f12(x91631,f239(x91631),f329(f329(f106(f916(x91631,a903)),x91632),x91633))),f329(f329(f239(x91631),f12(x91631,f239(x91631),x91632)),f12(x91631,f239(x91631),x91633)))
% 191.26/191.48 [9965]~P127(x99653)+E(x99651,x99652)+~P1(f329(f329(f240(x99653),f2(x99653)),x99652))+~P1(f329(f329(f240(x99653),f2(x99653)),x99651))+~E(f329(f329(f249(x99653),x99651),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f249(x99653),x99652),f329(f108(a908),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 191.26/191.48 [6453]E(f427(x64531,x64532,x64533),x64534)+E(f329(x64531,x64534),f2(a908))+~E(f329(f329(f6(x64533,a908),x64531),x64532),f80(a908))+~P1(f329(f62(x64533),x64532))+~P1(f329(f329(f331(x64533),x64534),x64532))
% 191.26/191.48 [6518]E(f439(x65181,x65182,x65183),x65184)+E(f329(x65181,x65184),f2(a908))+~E(f329(f329(f6(x65183,a908),x65181),x65182),f329(a117,f2(a908)))+~P1(f329(f62(x65183),x65182))+~P1(f329(f329(f331(x65183),x65184),x65182))
% 191.26/191.48 [6627]~P112(x66271)+~P10(x66271)+P1(f329(f329(f241(x66271),x66272),f38(x66271,x66273)))+~P1(f329(f329(f241(x66271),x66272),x66274))+~P1(f329(f329(f331(x66271),x66274),x66273))
% 191.26/191.48 [6800]~P112(x68001)+~P10(x68001)+~P1(f329(f329(f241(x68001),x68004),x68003))+P1(f329(f329(f241(x68001),f39(x68001,x68002)),x68003))+~P1(f329(f329(f331(x68001),x68004),x68002))
% 191.26/191.48 [7055]~P127(x70553)+E(x70551,x70552)+~E(f329(f329(f249(x70553),x70551),f329(a117,x70554)),f329(f329(f249(x70553),x70552),f329(a117,x70554)))+~P1(f329(f329(f240(x70553),f2(x70553)),x70552))+~P1(f329(f329(f240(x70553),f2(x70553)),x70551))
% 191.26/191.48 [7264]~E(f441(x72642,x72643,x72641,x72644),x72644)+~E(f329(x72642,x72644),f80(a908))+E(f329(f329(f6(x72641,a908),x72642),x72643),f80(a908))+~P1(f329(f62(x72641),x72643))+~P1(f329(f329(f331(x72641),x72644),x72643))
% 191.26/191.48 [7271]~P116(x72714)+~P131(x72714)+E(f329(x72711,f877(x72711,x72712,x72713,x72714)),f2(x72714))+~E(f329(f329(f9(x72713,x72714),x72711),x72712),f2(x72714))+~P1(f329(f62(x72713),x72712))
% 191.26/191.48 [7361]~E(f440(x73612,x73613,x73611,x73614),x73614)+~E(f329(x73612,x73614),f329(a117,f2(a908)))+E(f329(f329(f6(x73611,a908),x73612),x73613),f329(a117,f2(a908)))+~P1(f329(f62(x73611),x73613))+~P1(f329(f329(f331(x73611),x73614),x73613))
% 191.26/191.48 [8114]~E(f329(x81142,x81144),f80(a908))+~E(f329(x81142,f441(x81142,x81143,x81141,x81144)),f2(a908))+E(f329(f329(f6(x81141,a908),x81142),x81143),f80(a908))+~P1(f329(f62(x81141),x81143))+~P1(f329(f329(f331(x81141),x81144),x81143))
% 191.26/191.48 [8158]~E(f329(x81582,x81584),f329(a117,f2(a908)))+~E(f329(x81582,f440(x81582,x81583,x81581,x81584)),f2(a908))+E(f329(f329(f6(x81581,a908),x81582),x81583),f329(a117,f2(a908)))+~P1(f329(f62(x81581),x81583))+~P1(f329(f329(f331(x81581),x81584),x81583))
% 191.26/191.48 [8722]~P112(x87221)+~P18(x87221,x87224)+P18(x87221,x87222)+~E(x87222,f329(f329(f154(x87221),x87223),x87224))+~P1(f329(f329(f240(x87221),x87223),f754(x87222,x87221,x87224,x87223)))
% 191.26/191.48 [8757]E(x87571,x87572)+E(f329(f329(f82(a1),f412(x87573,x87572,x87574,x87571)),f413(x87573,x87572,x87574,x87571)),x87571)+~E(f329(f329(f23(a1),x87571),x87574),x87572)+~P1(f329(f329(f241(a1),f2(a1)),x87574))+~P1(f329(f329(f331(a1),x87572),x87573))
% 191.26/191.48 [8758]E(x87581,x87582)+E(f329(f329(f23(a1),f414(x87583,x87582,x87584,x87581)),f415(x87583,x87582,x87584,x87581)),x87581)+~E(f329(f329(f82(a1),x87581),x87584),x87582)+~P1(f329(f329(f241(a1),f2(a1)),x87584))+~P1(f329(f329(f331(a1),x87582),x87583))
% 191.26/191.48 [8935]E(f329(x89351,f625(x89352,x89351,x89353,x89354)),x89352)+P1(f329(f329(f240(a908),x89354),f626(x89352,x89351,x89353,x89354)))+~P1(f329(f329(f240(a1),x89352),f329(x89351,x89353)))+~P1(f329(f329(f241(a908),x89354),x89353))+~P1(f329(f329(f240(a1),f329(x89351,x89354)),x89352))
% 191.26/191.48 [8936]~P112(x89361)+~P18(x89361,x89363)+P18(x89361,x89362)+~E(x89362,f329(f329(f154(x89361),x89364),x89363))+P1(f329(f329(f331(x89361),f754(x89362,x89361,x89363,x89364)),f329(f175(x89361),x89363)))
% 191.26/191.48 [8954]~P116(x89544)+~P131(x89544)+~E(f329(f329(f9(x89541,x89544),x89542),x89543),f2(x89544))+~P1(f329(f62(x89541),x89543))+P1(f329(f329(f331(x89541),f877(x89542,x89543,x89541,x89544)),x89543))
% 191.26/191.48 [8991]~E(f329(x89912,x89914),f80(a908))+E(f329(f329(f6(x89911,a908),x89912),x89913),f80(a908))+~P1(f329(f62(x89911),x89913))+~P1(f329(f329(f331(x89911),x89914),x89913))+P1(f329(f329(f331(x89911),f441(x89912,x89913,x89911,x89914)),x89913))
% 191.26/191.48 [9003]E(x90031,x90032)+~E(f329(f329(f82(a1),x90032),x90034),x90031)+~P1(f329(f329(f241(a1),f2(a1)),x90034))+~P1(f329(f329(f331(a1),x90031),x90033))+P1(f329(f329(f331(a1),f414(x90033,x90031,x90034,x90032)),x90033))
% 191.26/191.48 [9004]E(x90041,x90042)+~E(f329(f329(f23(a1),x90042),x90044),x90041)+~P1(f329(f329(f241(a1),f2(a1)),x90044))+~P1(f329(f329(f331(a1),x90041),x90043))+P1(f329(f329(f331(a1),f412(x90043,x90041,x90044,x90042)),x90043))
% 191.26/191.48 [9006]~E(f329(x90062,x90064),f329(a117,f2(a908)))+E(f329(f329(f6(x90061,a908),x90062),x90063),f329(a117,f2(a908)))+~P1(f329(f62(x90061),x90063))+~P1(f329(f329(f331(x90061),x90064),x90063))+P1(f329(f329(f331(x90061),f440(x90062,x90063,x90061,x90064)),x90063))
% 191.26/191.48 [9011]P66(x90112,x90113,x90114,x90111)+E(x90111,f191(f916(x90112,a903)))+~P1(f329(f62(x90112),x90114))+~P1(f329(f62(x90112),x90111))+P1(f329(f329(f331(x90112),f823(x90113,x90111,x90114,x90112)),x90114))
% 191.26/191.48 [9012]P66(x90122,x90123,x90124,x90121)+E(x90121,f191(f916(x90122,a903)))+~P1(f329(f62(x90122),x90124))+~P1(f329(f62(x90122),x90121))+P1(f329(f329(f331(x90122),f496(x90121,x90124,x90123,x90122)),x90124))
% 191.26/191.48 [9013]P66(x90132,x90133,x90134,x90131)+E(x90131,f191(f916(x90132,a903)))+~P1(f329(f62(x90132),x90134))+~P1(f329(f62(x90132),x90131))+P1(f329(f329(f331(x90132),f824(x90131,x90134,x90133,x90132)),x90134))
% 191.26/191.48 [9091]E(x90911,x90912)+~E(f329(f329(f82(a1),x90912),x90914),x90911)+~P1(f329(f329(f241(a1),f2(a1)),x90914))+~P1(f329(f329(f331(a1),x90911),x90913))+P1(f329(f329(f331(a1),f415(x90913,x90911,x90914,x90912)),f305(a1,f80(a1),x90914)))
% 191.26/191.48 [9092]E(x90921,x90922)+~E(f329(f329(f23(a1),x90922),x90924),x90921)+~P1(f329(f329(f241(a1),f2(a1)),x90924))+~P1(f329(f329(f331(a1),x90921),x90923))+P1(f329(f329(f331(a1),f413(x90923,x90921,x90924,x90922)),f305(a1,f80(a1),x90924)))
% 191.26/191.48 [9168]P1(f329(f329(f240(a908),x91681),f625(x91682,x91683,x91684,x91681)))+~P1(f329(f329(f240(a1),x91682),f329(x91683,x91684)))+P1(f329(f329(f240(a908),x91681),f626(x91682,x91683,x91684,x91681)))+~P1(f329(f329(f241(a908),x91681),x91684))+~P1(f329(f329(f240(a1),f329(x91683,x91681)),x91682))
% 191.26/191.48 [9291]E(f329(x92911,f625(x92912,x92911,x92913,x92914)),x92912)+~P1(f329(f329(f240(a1),x92912),f329(x92911,x92913)))+P1(f329(f329(f241(a908),f626(x92912,x92911,x92913,x92914)),x92913))+~P1(f329(f329(f241(a908),x92914),x92913))+~P1(f329(f329(f240(a1),f329(x92911,x92914)),x92912))
% 191.26/191.48 [9417]~P1(f329(f329(f240(a1),x94172),f329(x94173,x94174)))+P1(f329(f329(f240(a908),x94171),f626(x94172,x94173,x94174,x94171)))+P1(f329(f329(f240(a908),f625(x94172,x94173,x94174,x94171)),x94174))+~P1(f329(f329(f241(a908),x94171),x94174))+~P1(f329(f329(f240(a1),f329(x94173,x94171)),x94172))
% 191.26/191.48 [9418]~P1(f329(f329(f240(a1),x94182),f329(x94183,x94184)))+P1(f329(f329(f240(a908),x94181),f625(x94182,x94183,x94184,x94181)))+P1(f329(f329(f241(a908),f626(x94182,x94183,x94184,x94181)),x94184))+~P1(f329(f329(f241(a908),x94181),x94184))+~P1(f329(f329(f240(a1),f329(x94183,x94181)),x94182))
% 191.26/191.48 [9524]~P1(f329(f329(f240(a1),x95241),f329(x95242,x95243)))+P1(f329(f329(f241(a908),f626(x95241,x95242,x95243,x95244)),x95243))+~P1(f329(f329(f241(a908),x95244),x95243))+~P1(f329(f329(f240(a1),f329(x95242,x95244)),x95241))+P1(f329(f329(f240(a908),f625(x95241,x95242,x95243,x95244)),x95243))
% 191.26/191.48 [9611]E(x96111,f191(f916(x96112,a903)))+~P1(f329(f62(x96112),x96114))+~P1(f329(f62(x96112),x96111))+P1(f329(f329(f331(f915(f916(x96112,a903),f916(x96112,a903))),f329(f329(f257(f916(x96112,a903),f916(x96112,a903)),x96114),x96111)),f320(x96112,x96113)))+P1(f329(f329(f331(x96112),f499(x96113,x96111,x96114,x96112)),x96114))
% 191.26/191.48 [9612]E(x96121,f191(f916(x96122,a903)))+~P1(f329(f62(x96122),x96124))+~P1(f329(f62(x96122),x96121))+P1(f329(f329(f331(f915(f916(x96122,a903),f916(x96122,a903))),f329(f329(f257(f916(x96122,a903),f916(x96122,a903)),x96124),x96121)),f320(x96122,x96123)))+P1(f329(f329(f331(x96122),f587(x96123,x96121,x96124,x96122)),x96124))
% 191.26/191.48 [10268]E(f329(x102681,f625(x102682,x102681,x102683,x102684)),x102682)+~P1(f329(f329(f240(a1),x102682),f329(x102681,x102683)))+~P1(f329(f329(f240(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102681,f329(f329(f82(a908),f626(x102682,x102681,x102683,x102684)),f80(a908)))),f329(x102681,f626(x102682,x102681,x102683,x102684))))),f80(a1)))+~P1(f329(f329(f241(a908),x102684),x102683))+~P1(f329(f329(f240(a1),f329(x102681,x102684)),x102682))
% 191.26/191.48 [10269]~P1(f329(f329(f240(a1),x102692),f329(x102693,x102694)))+P1(f329(f329(f240(a908),x102691),f625(x102692,x102693,x102694,x102691)))+~P1(f329(f329(f240(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102693,f329(f329(f82(a908),f626(x102692,x102693,x102694,x102691)),f80(a908)))),f329(x102693,f626(x102692,x102693,x102694,x102691))))),f80(a1)))+~P1(f329(f329(f241(a908),x102691),x102694))+~P1(f329(f329(f240(a1),f329(x102693,x102691)),x102692))
% 191.26/191.48 [10270]~P1(f329(f329(f240(a1),x102701),f329(x102702,x102703)))+~P1(f329(f329(f240(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102702,f329(f329(f82(a908),f626(x102701,x102702,x102703,x102704)),f80(a908)))),f329(x102702,f626(x102701,x102702,x102703,x102704))))),f80(a1)))+~P1(f329(f329(f241(a908),x102704),x102703))+~P1(f329(f329(f240(a1),f329(x102702,x102704)),x102701))+P1(f329(f329(f240(a908),f625(x102701,x102702,x102703,x102704)),x102703))
% 191.26/191.48 [7324]~P73(x73241)+P1(f329(f329(f241(x73241),x73242),f2(x73241)))+~P1(f329(f329(f240(x73241),x73243),f2(x73241)))+P1(f329(f329(f241(x73241),f2(x73241)),x73242))+P1(f329(f329(f240(x73241),x73243),f329(f329(f292(x73241),x73244),x73242)))
% 191.26/191.48 [7325]~P73(x73251)+P1(f329(f329(f241(x73251),x73252),f2(x73251)))+~P1(f329(f329(f241(x73251),x73253),f2(x73251)))+P1(f329(f329(f241(x73251),f2(x73251)),x73252))+P1(f329(f329(f241(x73251),x73253),f329(f329(f292(x73251),x73254),x73252)))
% 191.26/191.48 [7586]~P73(x75861)+P1(f329(f329(f240(x75861),x75862),f2(x75861)))+P1(f329(f329(f241(x75861),x75863),f2(x75861)))+P1(f329(f329(f241(x75861),f2(x75861)),x75863))+~P1(f329(f329(f240(x75861),x75862),f329(f329(f292(x75861),x75864),x75863)))
% 191.26/191.48 [7587]~P73(x75871)+P1(f329(f329(f241(x75871),x75872),f2(x75871)))+P1(f329(f329(f241(x75871),x75873),f2(x75871)))+P1(f329(f329(f241(x75871),f2(x75871)),x75873))+~P1(f329(f329(f241(x75871),x75872),f329(f329(f292(x75871),x75874),x75873)))
% 191.26/191.48 [7702]E(x77021,x77022)+~E(f329(f329(f167(x77023),x77024),x77021),f329(f329(f167(x77023),x77024),x77022))+~P1(f329(f140(x77023),x77024))+~P1(f329(f329(f241(a908),x77022),f329(f192(f909(x77023)),x77024)))+~P1(f329(f329(f241(a908),x77021),f329(f192(f909(x77023)),x77024)))
% 191.26/191.48 [8074]~P73(x80741)+~P1(f329(f329(f240(x80741),x80743),f2(x80741)))+P1(f329(f329(f241(x80741),f2(x80741)),x80742))+~P1(f329(f329(f240(x80741),x80744),f329(f329(f83(x80741),x80743),x80742)))+P1(f329(f329(f240(x80741),x80743),f329(f329(f292(x80741),x80744),x80742)))
% 191.26/191.48 [8075]~P73(x80751)+~P1(f329(f329(f241(x80751),x80753),f2(x80751)))+P1(f329(f329(f241(x80751),f2(x80751)),x80752))+~P1(f329(f329(f241(x80751),x80754),f329(f329(f83(x80751),x80753),x80752)))+P1(f329(f329(f241(x80751),x80753),f329(f329(f292(x80751),x80754),x80752)))
% 191.26/191.48 [8076]~P73(x80761)+~P1(f329(f329(f241(x80761),x80762),f2(x80761)))+P1(f329(f329(f241(x80761),f2(x80761)),x80762))+~P1(f329(f329(f240(x80761),x80764),f329(f329(f83(x80761),x80763),x80762)))+P1(f329(f329(f240(x80761),x80763),f329(f329(f292(x80761),x80764),x80762)))
% 191.26/191.48 [8077]~P73(x80771)+~P1(f329(f329(f241(x80771),x80772),f2(x80771)))+P1(f329(f329(f241(x80771),f2(x80771)),x80772))+~P1(f329(f329(f240(x80771),x80774),f329(f329(f292(x80771),x80773),x80772)))+P1(f329(f329(f240(x80771),x80773),f329(f329(f83(x80771),x80774),x80772)))
% 191.26/191.48 [8078]~P73(x80781)+~P1(f329(f329(f241(x80781),x80782),f2(x80781)))+P1(f329(f329(f241(x80781),f2(x80781)),x80782))+~P1(f329(f329(f241(x80781),x80784),f329(f329(f83(x80781),x80783),x80782)))+P1(f329(f329(f241(x80781),x80783),f329(f329(f292(x80781),x80784),x80782)))
% 191.26/191.48 [8079]~P73(x80791)+~P1(f329(f329(f241(x80791),x80792),f2(x80791)))+P1(f329(f329(f241(x80791),f2(x80791)),x80792))+~P1(f329(f329(f241(x80791),x80794),f329(f329(f292(x80791),x80793),x80792)))+P1(f329(f329(f241(x80791),x80793),f329(f329(f83(x80791),x80794),x80792)))
% 191.26/191.48 [8229]~P112(x82291)+~P18(x82291,x82292)+~P1(f329(f329(f240(a908),x82293),x82294))+P1(f329(f329(f240(x82291),f329(f329(f167(x82291),x82292),x82293)),f329(f329(f167(x82291),x82292),x82294)))+~P1(f329(f329(f241(a908),x82294),f329(f192(f909(x82291)),x82292)))
% 191.26/191.48 [8279]~P127(x82791)+~P1(f329(f329(f240(x82791),x82792),f80(x82791)))+~P1(f329(f329(f240(x82791),f2(x82791)),x82792))+~P1(f329(f329(f240(a908),x82794),x82793))+P1(f329(f329(f240(x82791),f329(f329(f249(x82791),x82792),x82793)),f329(f329(f249(x82791),x82792),x82794)))
% 191.26/191.48 [8280]~P127(x82801)+~P1(f329(f329(f241(x82801),x82802),f80(x82801)))+~P1(f329(f329(f241(x82801),f2(x82801)),x82802))+~P1(f329(f329(f241(a908),x82804),x82803))+P1(f329(f329(f241(x82801),f329(f329(f249(x82801),x82802),x82803)),f329(f329(f249(x82801),x82802),x82804)))
% 191.26/191.48 [8281]~P127(x82811)+~P1(f329(f329(f240(x82811),f2(x82811)),x82812))+~P1(f329(f329(f241(a908),f2(a908)),x82813))+~P1(f329(f329(f241(x82811),x82812),x82814))+P1(f329(f329(f241(x82811),f329(f329(f249(x82811),x82812),x82813)),f329(f329(f249(x82811),x82814),x82813)))
% 191.26/191.48 [8300]~P112(x83001)+~P18(x83001,f329(f171(x83001),x83002))+~P1(f329(f329(f240(a908),x83004),x83003))+P1(f329(f329(f240(x83001),f329(f329(f167(x83001),x83002),x83003)),f329(f329(f167(x83001),x83002),x83004)))+~P1(f329(f329(f241(a908),x83003),f329(f192(f909(x83001)),x83002)))
% 191.26/191.48 [8548]~P73(x85481)+~P1(f329(f329(f240(x85481),x85482),f2(x85481)))+~P1(f329(f329(f240(x85481),x85483),x85484))+~P1(f329(f329(f241(x85481),f2(x85481)),f329(f329(f83(x85481),x85483),x85484)))+P1(f329(f329(f240(x85481),f329(f329(f292(x85481),x85482),x85483)),f329(f329(f292(x85481),x85482),x85484)))
% 191.26/191.48 [8549]~P74(x85491)+~P1(f329(f329(f241(x85491),x85492),f2(x85491)))+~P1(f329(f329(f241(x85491),x85493),x85494))+~P1(f329(f329(f241(x85491),f2(x85491)),f329(f329(f83(x85491),x85493),x85494)))+P1(f329(f329(f241(x85491),f329(f329(f292(x85491),x85492),x85493)),f329(f329(f292(x85491),x85492),x85494)))
% 191.26/191.48 [8558]~P74(x85581)+~P1(f329(f329(f240(x85581),x85584),x85583))+~P1(f329(f329(f240(x85581),f2(x85581)),x85582))+~P1(f329(f329(f241(x85581),f2(x85581)),f329(f329(f83(x85581),x85583),x85584)))+P1(f329(f329(f240(x85581),f329(f329(f292(x85581),x85582),x85583)),f329(f329(f292(x85581),x85582),x85584)))
% 191.26/191.48 [8559]~P74(x85591)+~P1(f329(f329(f241(x85591),x85594),x85593))+~P1(f329(f329(f241(x85591),f2(x85591)),x85592))+~P1(f329(f329(f241(x85591),f2(x85591)),f329(f329(f83(x85591),x85593),x85594)))+P1(f329(f329(f241(x85591),f329(f329(f292(x85591),x85592),x85593)),f329(f329(f292(x85591),x85592),x85594)))
% 191.26/191.48 [8672]P1(f329(x86721,x86722))+~P1(f329(f62(x86724),x86722))+P1(f329(x86721,f753(x86721,x86723,x86722,x86724)))+~P1(f329(x86721,f191(f916(x86724,a903))))+~P1(f329(f329(f240(f916(x86724,a903)),x86722),x86723))
% 191.26/191.48 [8680]P1(f329(x86801,x86802))+P1(f329(f62(x86803),f753(x86801,x86804,x86802,x86803)))+~P1(f329(f62(x86803),x86802))+~P1(f329(x86801,f191(f916(x86803,a903))))+~P1(f329(f329(f240(f916(x86803,a903)),x86802),x86804))
% 191.26/191.48 [8930]E(f329(f329(f82(a1),f418(x89301,x89302,x89303,x89304)),f419(x89301,x89302,x89303,x89304)),x89304)+~P1(f329(f329(f241(a1),f2(a1)),x89303))+~P1(f329(f329(f241(a1),x89302),x89304))+~P1(f329(f329(f331(a1),x89302),x89301))+P1(f329(f329(f241(a1),x89302),f329(f329(f23(a1),x89304),x89303)))
% 191.26/191.48 [9148]~P1(f329(f329(f241(a1),f2(a1)),x91483))+~P1(f329(f329(f241(a1),x91482),x91484))+~P1(f329(f329(f331(a1),x91482),x91481))+P1(f329(f329(f331(a1),f418(x91481,x91482,x91483,x91484)),x91481))+P1(f329(f329(f241(a1),x91482),f329(f329(f23(a1),x91484),x91483)))
% 191.26/191.48 [9161]P1(f329(x91611,x91612))+~P1(f329(f62(x91613),x91612))+P1(f329(f329(f331(x91613),f746(x91611,x91614,x91612,x91613)),x91614))+~P1(f329(x91611,f191(f916(x91613,a903))))+~P1(f329(f329(f240(f916(x91613,a903)),x91612),x91614))
% 191.26/191.48 [9178]E(f329(f329(f82(a1),f408(x91781,x91782,x91783,x91784)),f409(x91781,x91782,x91783,x91784)),x91784)+~P1(f329(f329(f241(a1),f2(a1)),x91783))+~P1(f329(f329(f240(a1),x91782),x91784))+P1(f329(f329(f240(a1),x91782),f329(f329(f23(a1),x91784),x91783)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x91782),f80(a1))),x91781))
% 191.26/191.48 [9232]~P1(f329(f329(f241(a1),f2(a1)),x92323))+~P1(f329(f329(f241(a1),x92321),x92322))+~P1(f329(f329(f331(a1),x92321),x92324))+P1(f329(f329(f331(a1),f419(x92324,x92321,x92323,x92322)),f305(a1,f80(a1),x92323)))+P1(f329(f329(f241(a1),x92321),f329(f329(f23(a1),x92322),x92323)))
% 191.26/191.48 [9264]~P5(x92642)+~E(f807(x92643,x92644,x92641,x92642),f808(x92643,x92644,x92641,x92642))+~P1(f329(f62(x92641),f809(x92643,x92644,x92641,x92642)))+E(f329(f329(f6(f916(x92641,a903),x92642),f329(f6(x92641,x92642),x92643)),x92644),f329(f329(f6(x92641,x92642),x92643),f38(f916(x92641,a903),x92644)))+~P1(f329(f62(f916(x92641,a903)),x92644))
% 191.26/191.48 [9269]~P5(x92692)+~E(f329(x92693,f810(x92693,x92694,x92691,x92692)),f2(x92692))+~P1(f329(f62(x92691),f809(x92693,x92694,x92691,x92692)))+E(f329(f329(f6(f916(x92691,a903),x92692),f329(f6(x92691,x92692),x92693)),x92694),f329(f329(f6(x92691,x92692),x92693),f38(f916(x92691,a903),x92694)))+~P1(f329(f62(f916(x92691,a903)),x92694))
% 191.26/191.48 [9336]~P1(f329(f329(f241(a1),f2(a1)),x93363))+~P1(f329(f329(f240(a1),x93362),x93364))+P1(f329(f329(f331(a1),f408(x93361,x93362,x93363,x93364)),x93361))+P1(f329(f329(f240(a1),x93362),f329(f329(f23(a1),x93364),x93363)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93362),f80(a1))),x93361))
% 191.26/191.48 [9376]~P1(f329(f329(f241(a1),f2(a1)),x93763))+~P1(f329(f329(f240(a1),x93761),x93762))+P1(f329(f329(f331(a1),f409(x93764,x93761,x93763,x93762)),f305(a1,f80(a1),x93763)))+P1(f329(f329(f240(a1),x93761),f329(f329(f23(a1),x93762),x93763)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93761),f80(a1))),x93764))
% 191.26/191.48 [9397]~P5(x93972)+~E(f807(x93973,x93974,x93971,x93972),f808(x93973,x93974,x93971,x93972))+E(f329(f329(f6(f916(x93971,a903),x93972),f329(f6(x93971,x93972),x93973)),x93974),f329(f329(f6(x93971,x93972),x93973),f38(f916(x93971,a903),x93974)))+P1(f329(f329(f331(f916(x93971,a903)),f809(x93973,x93974,x93971,x93972)),x93974))+~P1(f329(f62(f916(x93971,a903)),x93974))
% 191.26/191.48 [9402]~P5(x94022)+~E(f329(x94023,f810(x94023,x94024,x94021,x94022)),f2(x94022))+E(f329(f329(f6(f916(x94021,a903),x94022),f329(f6(x94021,x94022),x94023)),x94024),f329(f329(f6(x94021,x94022),x94023),f38(f916(x94021,a903),x94024)))+P1(f329(f329(f331(f916(x94021,a903)),f809(x94023,x94024,x94021,x94022)),x94024))+~P1(f329(f62(f916(x94021,a903)),x94024))
% 191.26/191.48 [9502]~P5(x95022)+~P1(f329(f62(x95021),f809(x95023,x95024,x95021,x95022)))+E(f329(f329(f6(f916(x95021,a903),x95022),f329(f6(x95021,x95022),x95023)),x95024),f329(f329(f6(x95021,x95022),x95023),f38(f916(x95021,a903),x95024)))+P1(f329(f329(f331(f916(x95021,a903)),f808(x95023,x95024,x95021,x95022)),x95024))+~P1(f329(f62(f916(x95021,a903)),x95024))
% 191.26/191.48 [9503]~P5(x95032)+~P1(f329(f62(x95031),f809(x95033,x95034,x95031,x95032)))+E(f329(f329(f6(f916(x95031,a903),x95032),f329(f6(x95031,x95032),x95033)),x95034),f329(f329(f6(x95031,x95032),x95033),f38(f916(x95031,a903),x95034)))+P1(f329(f329(f331(f916(x95031,a903)),f807(x95033,x95034,x95031,x95032)),x95034))+~P1(f329(f62(f916(x95031,a903)),x95034))
% 191.26/191.48 [9581]~P5(x95812)+E(f329(f329(f6(f916(x95811,a903),x95812),f329(f6(x95811,x95812),x95813)),x95814),f329(f329(f6(x95811,x95812),x95813),f38(f916(x95811,a903),x95814)))+P1(f329(f329(f331(f916(x95811,a903)),f809(x95813,x95814,x95811,x95812)),x95814))+P1(f329(f329(f331(f916(x95811,a903)),f808(x95813,x95814,x95811,x95812)),x95814))+~P1(f329(f62(f916(x95811,a903)),x95814))
% 191.26/191.48 [9582]~P5(x95822)+E(f329(f329(f6(f916(x95821,a903),x95822),f329(f6(x95821,x95822),x95823)),x95824),f329(f329(f6(x95821,x95822),x95823),f38(f916(x95821,a903),x95824)))+P1(f329(f329(f331(f916(x95821,a903)),f809(x95823,x95824,x95821,x95822)),x95824))+P1(f329(f329(f331(f916(x95821,a903)),f807(x95823,x95824,x95821,x95822)),x95824))+~P1(f329(f62(f916(x95821,a903)),x95824))
% 191.26/191.48 [9600]~P5(x96002)+P1(f329(f329(f331(x96001),f810(x96003,x96004,x96001,x96002)),f808(x96003,x96004,x96001,x96002)))+~P1(f329(f62(x96001),f809(x96003,x96004,x96001,x96002)))+E(f329(f329(f6(f916(x96001,a903),x96002),f329(f6(x96001,x96002),x96003)),x96004),f329(f329(f6(x96001,x96002),x96003),f38(f916(x96001,a903),x96004)))+~P1(f329(f62(f916(x96001,a903)),x96004))
% 191.26/191.48 [9601]~P5(x96012)+P1(f329(f329(f331(x96011),f810(x96013,x96014,x96011,x96012)),f807(x96013,x96014,x96011,x96012)))+~P1(f329(f62(x96011),f809(x96013,x96014,x96011,x96012)))+E(f329(f329(f6(f916(x96011,a903),x96012),f329(f6(x96011,x96012),x96013)),x96014),f329(f329(f6(x96011,x96012),x96013),f38(f916(x96011,a903),x96014)))+~P1(f329(f62(f916(x96011,a903)),x96014))
% 191.26/191.48 [9614]P1(f329(x96141,x96142))+~P1(f329(f329(f331(x96143),f746(x96141,x96144,x96142,x96143)),f753(x96141,x96144,x96142,x96143)))+~P1(f329(f62(x96143),x96142))+~P1(f329(x96141,f191(f916(x96143,a903))))+~P1(f329(f329(f240(f916(x96143,a903)),x96142),x96144))
% 191.26/191.48 [9652]~P5(x96522)+P1(f329(f329(f331(x96521),f810(x96523,x96524,x96521,x96522)),f808(x96523,x96524,x96521,x96522)))+E(f329(f329(f6(f916(x96521,a903),x96522),f329(f6(x96521,x96522),x96523)),x96524),f329(f329(f6(x96521,x96522),x96523),f38(f916(x96521,a903),x96524)))+P1(f329(f329(f331(f916(x96521,a903)),f809(x96523,x96524,x96521,x96522)),x96524))+~P1(f329(f62(f916(x96521,a903)),x96524))
% 191.26/191.48 [9653]~P5(x96532)+P1(f329(f329(f331(x96531),f810(x96533,x96534,x96531,x96532)),f807(x96533,x96534,x96531,x96532)))+E(f329(f329(f6(f916(x96531,a903),x96532),f329(f6(x96531,x96532),x96533)),x96534),f329(f329(f6(x96531,x96532),x96533),f38(f916(x96531,a903),x96534)))+P1(f329(f329(f331(f916(x96531,a903)),f809(x96533,x96534,x96531,x96532)),x96534))+~P1(f329(f62(f916(x96531,a903)),x96534))
% 191.26/191.48 [9829]P1(f329(x98291,x98292))+~P1(f329(f62(x98293),x98292))+~P1(f329(x98291,f329(f329(f311(x98293),f746(x98291,x98294,x98292,x98293)),f753(x98291,x98294,x98292,x98293))))+~P1(f329(x98291,f191(f916(x98293,a903))))+~P1(f329(f329(f240(f916(x98293,a903)),x98292),x98294))
% 191.26/191.48 [7837]~P73(x78371)+P1(f329(f329(f241(x78371),x78372),f2(x78371)))+~P1(f329(f329(f240(x78371),f2(x78371)),x78374))+P1(f329(f329(f241(x78371),f2(x78371)),x78372))+P1(f329(f329(f240(x78371),f329(f329(f292(x78371),x78373),x78372)),x78374))
% 191.26/191.48 [7838]~P73(x78381)+P1(f329(f329(f241(x78381),x78382),f2(x78381)))+P1(f329(f329(f241(x78381),f2(x78381)),x78382))+~P1(f329(f329(f241(x78381),f2(x78381)),x78384))+P1(f329(f329(f241(x78381),f329(f329(f292(x78381),x78383),x78382)),x78384))
% 191.26/191.48 [8061]~P10(x80611)+~P46(x80611,x80611,x80614)+~E(x80613,f101(x80611,x80614))+P1(f329(f329(f240(x80611),x80612),x80613))+~P1(f329(f329(f240(x80611),x80612),f329(x80614,f329(f329(f115(x80611),x80612),x80613))))
% 191.26/191.48 [8130]~P1(f329(f329(f240(a1),x81304),f2(a1)))+~E(x81302,f329(f329(f82(a1),f329(f329(f83(a1),x81301),x81303)),x81304))+P1(f329(f329(f241(a1),f2(a1)),x81301))+~P1(f329(f329(f241(a1),x81301),x81304))+P1(f329(f50(x81302,x81301),f329(f329(f257(a1,a1),x81303),x81304)))
% 191.26/191.48 [8169]~P1(f329(x81691,x81694))+P1(f329(x81691,f381(x81692,x81691,x81693)))+~P1(f329(f329(f240(a1),f2(a1)),x81692))+~P1(f329(f329(f241(a1),f2(a1)),x81693))+P1(f329(x81691,f329(f329(f23(a1),x81694),f329(f329(f83(a1),x81692),x81693))))
% 191.26/191.48 [8170]~P1(f329(x81701,x81704))+P1(f329(x81701,f387(x81702,x81701,x81703)))+~P1(f329(f329(f240(a1),f2(a1)),x81702))+~P1(f329(f329(f241(a1),f2(a1)),x81703))+P1(f329(x81701,f329(f329(f82(a1),x81704),f329(f329(f83(a1),x81702),x81703))))
% 191.26/191.48 [8171]~P73(x81711)+P1(f329(f329(f241(x81711),x81712),f2(x81711)))+P1(f329(f329(f241(x81711),f2(x81711)),x81712))+P1(f329(f329(f240(x81711),f2(x81711)),x81713))+~P1(f329(f329(f240(x81711),f329(f329(f292(x81711),x81714),x81712)),x81713))
% 191.26/191.48 [8172]~P73(x81721)+P1(f329(f329(f241(x81721),x81722),f2(x81721)))+P1(f329(f329(f241(x81721),f2(x81721)),x81722))+P1(f329(f329(f241(x81721),f2(x81721)),x81723))+~P1(f329(f329(f241(x81721),f329(f329(f292(x81721),x81724),x81722)),x81723))
% 191.26/191.48 [8224]~E(x82241,f329(f329(f82(a1),f329(f329(f83(a1),x82242),x82243)),x82244))+~P1(f329(f329(f240(a1),f2(a1)),x82244))+~P1(f329(f329(f241(a1),f2(a1)),x82242))+~P1(f329(f329(f241(a1),x82244),x82242))+P1(f329(f50(x82241,x82242),f329(f329(f257(a1,a1),x82243),x82244)))
% 191.26/191.48 [8340]~P73(x83401)+P1(f329(f329(f241(x83401),x83402),f2(x83401)))+~P1(f329(f329(f240(x83401),f2(x83401)),x83404))+~P1(f329(f329(f240(x83401),x83403),f329(f329(f83(x83401),x83404),x83402)))+P1(f329(f329(f240(x83401),f329(f329(f292(x83401),x83403),x83402)),x83404))
% 191.26/191.48 [8341]~P73(x83411)+P1(f329(f329(f241(x83411),x83412),f2(x83411)))+~P1(f329(f329(f241(x83411),f2(x83411)),x83414))+~P1(f329(f329(f241(x83411),x83413),f329(f329(f83(x83411),x83414),x83412)))+P1(f329(f329(f241(x83411),f329(f329(f292(x83411),x83413),x83412)),x83414))
% 191.26/191.48 [8426]~P73(x84261)+P1(f329(f329(f241(x84261),x84262),f2(x84261)))+~P1(f329(f329(f240(x84261),x84263),f2(x84261)))+P1(f329(f329(f240(x84261),x84263),f329(f329(f292(x84261),x84264),x84262)))+~P1(f329(f329(f240(x84261),f329(f329(f83(x84261),x84263),x84262)),x84264))
% 191.26/191.48 [8427]~P73(x84271)+P1(f329(f329(f241(x84271),x84272),f2(x84271)))+~P1(f329(f329(f241(x84271),x84273),f2(x84271)))+P1(f329(f329(f241(x84271),x84273),f329(f329(f292(x84271),x84274),x84272)))+~P1(f329(f329(f241(x84271),f329(f329(f83(x84271),x84273),x84272)),x84274))
% 191.26/191.48 [8586]~P73(x85861)+~P1(f329(f329(f241(x85861),x85862),f2(x85861)))+P1(f329(f329(f241(x85861),f2(x85861)),x85862))+~P1(f329(f329(f240(x85861),f329(f329(f292(x85861),x85864),x85862)),x85863))+P1(f329(f329(f240(x85861),f329(f329(f83(x85861),x85863),x85862)),x85864))
% 191.26/191.48 [8587]~P73(x85871)+~P1(f329(f329(f241(x85871),x85872),f2(x85871)))+P1(f329(f329(f241(x85871),f2(x85871)),x85872))+~P1(f329(f329(f240(x85871),f329(f329(f83(x85871),x85874),x85872)),x85873))+P1(f329(f329(f240(x85871),f329(f329(f292(x85871),x85873),x85872)),x85874))
% 191.26/191.48 [8588]~P73(x85881)+~P1(f329(f329(f241(x85881),x85882),f2(x85881)))+P1(f329(f329(f241(x85881),f2(x85881)),x85882))+~P1(f329(f329(f241(x85881),f329(f329(f292(x85881),x85884),x85882)),x85883))+P1(f329(f329(f241(x85881),f329(f329(f83(x85881),x85883),x85882)),x85884))
% 191.26/191.48 [8589]~P73(x85891)+~P1(f329(f329(f241(x85891),x85892),f2(x85891)))+P1(f329(f329(f241(x85891),f2(x85891)),x85892))+~P1(f329(f329(f241(x85891),f329(f329(f83(x85891),x85894),x85892)),x85893))+P1(f329(f329(f241(x85891),f329(f329(f292(x85891),x85893),x85892)),x85894))
% 191.26/191.48 [8608]~P73(x86081)+~P1(f329(f329(f240(x86081),f2(x86081)),x86084))+P1(f329(f329(f241(x86081),f2(x86081)),x86082))+~P1(f329(f329(f240(x86081),f329(f329(f83(x86081),x86084),x86082)),x86083))+P1(f329(f329(f240(x86081),f329(f329(f292(x86081),x86083),x86082)),x86084))
% 191.26/191.48 [8609]~P73(x86091)+~P1(f329(f329(f241(x86091),f2(x86091)),x86094))+P1(f329(f329(f241(x86091),f2(x86091)),x86092))+~P1(f329(f329(f241(x86091),f329(f329(f83(x86091),x86094),x86092)),x86093))+P1(f329(f329(f241(x86091),f329(f329(f292(x86091),x86093),x86092)),x86094))
% 191.26/191.48 [8688]~P73(x86881)+~P1(f329(f329(f241(x86881),x86884),f2(x86881)))+~P1(f329(f329(f240(x86881),x86883),f329(f329(f83(x86881),x86882),x86884)))+P1(f329(f329(f240(x86881),x86882),f329(f329(f292(x86881),x86883),x86884)))+~P1(f329(f329(f240(x86881),f329(f329(f83(x86881),x86882),x86884)),x86883))
% 191.26/191.48 [8689]~P73(x86891)+~P1(f329(f329(f240(x86891),x86892),f2(x86891)))+~P1(f329(f329(f240(x86891),x86893),f329(f329(f83(x86891),x86892),x86894)))+P1(f329(f329(f240(x86891),x86892),f329(f329(f292(x86891),x86893),x86894)))+~P1(f329(f329(f240(x86891),f329(f329(f83(x86891),x86892),x86894)),x86893))
% 191.26/191.48 [8690]~P73(x86901)+~P1(f329(f329(f241(x86901),x86904),f2(x86901)))+~P1(f329(f329(f241(x86901),x86903),f329(f329(f83(x86901),x86902),x86904)))+P1(f329(f329(f241(x86901),x86902),f329(f329(f292(x86901),x86903),x86904)))+~P1(f329(f329(f241(x86901),f329(f329(f83(x86901),x86902),x86904)),x86903))
% 191.26/191.48 [8691]~P73(x86911)+~P1(f329(f329(f241(x86911),x86912),f2(x86911)))+~P1(f329(f329(f241(x86911),x86913),f329(f329(f83(x86911),x86912),x86914)))+P1(f329(f329(f241(x86911),x86912),f329(f329(f292(x86911),x86913),x86914)))+~P1(f329(f329(f241(x86911),f329(f329(f83(x86911),x86912),x86914)),x86913))
% 191.26/191.48 [8804]~P73(x88041)+~P1(f329(f329(f241(x88041),x88043),f2(x88041)))+~P1(f329(f329(f240(x88041),x88042),f329(f329(f83(x88041),x88044),x88043)))+~P1(f329(f329(f240(x88041),f329(f329(f83(x88041),x88044),x88043)),x88042))+P1(f329(f329(f240(x88041),f329(f329(f292(x88041),x88042),x88043)),x88044))
% 191.26/191.48 [8805]~P73(x88051)+~P1(f329(f329(f241(x88051),x88053),f2(x88051)))+~P1(f329(f329(f241(x88051),x88052),f329(f329(f83(x88051),x88054),x88053)))+~P1(f329(f329(f241(x88051),f329(f329(f83(x88051),x88054),x88053)),x88052))+P1(f329(f329(f241(x88051),f329(f329(f292(x88051),x88052),x88053)),x88054))
% 191.26/191.48 [8821]~P73(x88211)+~P1(f329(f329(f240(x88211),f2(x88211)),x88214))+~P1(f329(f329(f240(x88211),x88212),f329(f329(f83(x88211),x88214),x88213)))+~P1(f329(f329(f240(x88211),f329(f329(f83(x88211),x88214),x88213)),x88212))+P1(f329(f329(f240(x88211),f329(f329(f292(x88211),x88212),x88213)),x88214))
% 191.26/191.48 [8822]~P73(x88221)+~P1(f329(f329(f241(x88221),f2(x88221)),x88224))+~P1(f329(f329(f241(x88221),x88222),f329(f329(f83(x88221),x88224),x88223)))+~P1(f329(f329(f241(x88221),f329(f329(f83(x88221),x88224),x88223)),x88222))+P1(f329(f329(f241(x88221),f329(f329(f292(x88221),x88222),x88223)),x88224))
% 191.26/191.48 [8996]E(f329(f329(f23(a1),f422(x89961,x89962,x89963,x89964)),f423(x89961,x89962,x89963,x89964)),x89964)+~P1(f329(f329(f241(a1),f2(a1)),x89963))+~P1(f329(f329(f331(a1),x89962),x89961))+~P1(f329(f329(f241(a1),x89964),x89962))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x89964),x89963)),x89962))
% 191.26/191.48 [9073]~P1(f329(x90731,x90732))+~P1(f329(f329(f240(a1),f2(a1)),x90733))+~P1(f329(f329(f241(a1),f2(a1)),x90734))+~P1(f329(x90731,f329(f329(f82(a1),f387(x90733,x90731,x90734)),x90734)))+P1(f329(x90731,f329(f329(f82(a1),x90732),f329(f329(f83(a1),x90733),x90734))))
% 191.26/191.48 [9074]~P1(f329(x90741,x90742))+~P1(f329(f329(f240(a1),f2(a1)),x90743))+~P1(f329(f329(f241(a1),f2(a1)),x90744))+~P1(f329(x90741,f329(f329(f23(a1),f381(x90743,x90741,x90744)),x90744)))+P1(f329(x90741,f329(f329(f23(a1),x90742),f329(f329(f83(a1),x90743),x90744))))
% 191.26/191.48 [9225]~P1(f329(f329(f241(a1),f2(a1)),x92253))+~P1(f329(f329(f331(a1),x92252),x92251))+~P1(f329(f329(f241(a1),x92254),x92252))+P1(f329(f329(f331(a1),f422(x92251,x92252,x92253,x92254)),x92251))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x92254),x92253)),x92252))
% 191.26/191.48 [9245]E(f329(f329(f23(a1),f410(x92451,x92452,x92453,x92454)),f411(x92451,x92452,x92453,x92454)),x92454)+~P1(f329(f329(f241(a1),f2(a1)),x92453))+~P1(f329(f329(f240(a1),x92454),x92452))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x92452),f80(a1))),x92451))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x92454),x92453)),x92452))
% 191.26/191.48 [9281]~P1(f329(f329(f241(a1),f2(a1)),x92812))+~P1(f329(f329(f331(a1),x92813),x92814))+~P1(f329(f329(f241(a1),x92811),x92813))+P1(f329(f329(f331(a1),f423(x92814,x92813,x92812,x92811)),f305(a1,f80(a1),x92812)))+P1(f329(f329(f241(a1),f329(f329(f82(a1),x92811),x92812)),x92813))
% 191.26/191.48 [9368]~P1(f329(f329(f241(a1),f2(a1)),x93683))+~P1(f329(f329(f240(a1),x93684),x93682))+P1(f329(f329(f331(a1),f410(x93681,x93682,x93683,x93684)),x93681))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x93682),f80(a1))),x93681))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x93684),x93683)),x93682))
% 191.26/191.48 [9413]~P1(f329(f329(f241(a1),f2(a1)),x94132))+~P1(f329(f329(f240(a1),x94131),x94133))+P1(f329(f329(f331(a1),f411(x94134,x94133,x94132,x94131)),f305(a1,f80(a1),x94132)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x94133),f80(a1))),x94134))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x94131),x94132)),x94133))
% 191.26/191.48 [9705]~P43(x97051,x97053)+~P32(x97051,x97054)+P43(x97051,f329(f329(f115(f916(f915(x97051,x97051),a903)),x97052),x97053))+~P1(f329(f329(f240(f916(f915(x97051,x97051),a903)),x97052),f329(f256(f916(f915(x97051,x97051),a903),f916(f915(x97051,x97051),a903)),x97054)))+~P1(f329(f329(f240(f916(f915(x97051,x97051),a903)),x97053),f329(f261(f916(f915(x97051,x97051),a903),f916(f915(x97051,x97051),a903)),x97054)))
% 191.26/191.48 [10084]~P23(x100842,x100844,x100843)+E(x100841,f191(f916(x100842,a903)))+~P1(f329(f62(x100842),x100841))+P1(f329(f329(f331(x100842),f329(x100843,x100841)),x100841))+~P1(f329(f329(f331(x100842),f329(f329(x100844,f781(x100841,x100843,x100844,x100842)),f792(x100841,x100843,x100844,x100842))),f329(f329(f311(x100842),f781(x100841,x100843,x100844,x100842)),f329(f329(f311(x100842),f792(x100841,x100843,x100844,x100842)),f191(f916(x100842,a903))))))
% 191.26/191.48 [8715]~P10(x87151)+~P46(x87151,x87151,x87154)+~E(x87152,f100(x87151,x87154))+P1(f329(f329(f240(x87151),x87152),x87153))+~P1(f329(f329(f240(x87151),f329(x87154,f329(f329(f106(x87151),x87152),x87153))),x87153))
% 191.26/191.48 [10018]~P114(x100182)+~P70(x100181)+~P1(f329(f329(f240(f916(x100181,x100182)),x100183),x100184))+P1(f329(f329(f241(f916(x100181,x100182)),x100183),x100184))+~P1(f329(f57(x100181),f329(f329(f8(a903,a903,x100181),a324),f329(f329(f18(x100181,x100182,a903),f329(f329(f8(x100182,f916(x100182,a903),x100181),a326),x100183)),x100184))))
% 191.26/191.48 [9621]~P62(x96211,x96211,x96214)+P1(f329(f329(f331(f915(x96211,x96211)),f329(f329(f257(x96211,x96211),x96212),x96213)),f309(x96211,x96214)))+P1(f329(f329(f331(f915(x96211,x96211)),f329(f329(f257(x96211,x96211),x96213),x96212)),f309(x96211,x96214)))+~P1(f329(f329(f331(f915(x96211,x96211)),f329(f329(f257(x96211,x96211),x96215),x96212)),f309(x96211,x96214)))+~P1(f329(f329(f331(f915(x96211,x96211)),f329(f329(f257(x96211,x96211),x96215),x96213)),f309(x96211,x96214)))
% 191.26/191.48 [5729]E(x57291,f2(a908))+~E(f329(f36(x57292),x57295),x57291)+E(f329(f36(x57292),x57293),f329(a117,x57291))+~E(x57293,f329(f329(f311(x57292),x57294),x57295))+P1(f329(f329(f331(x57292),x57294),x57295))
% 191.26/191.48 [5852]~P72(x58522)+E(x58521,f2(x58522))+E(x58523,f2(x58522))+~E(f329(f329(f292(x58522),x58524),x58523),f329(f329(f292(x58522),x58525),x58521))+E(f329(f329(f83(x58522),x58524),x58521),f329(f329(f83(x58522),x58525),x58523))
% 191.26/191.48 [5853]~P72(x58532)+E(x58531,f2(x58532))+E(x58533,f2(x58532))+~E(f329(f329(f83(x58532),x58534),x58533),f329(f329(f83(x58532),x58535),x58531))+E(f329(f329(f292(x58532),x58534),x58531),f329(f329(f292(x58532),x58535),x58533))
% 191.26/191.48 [5920]~E(f329(f36(x59201),x59205),x59203)+~E(x59205,f191(f916(x59201,a903)))+E(f329(f36(x59201),x59202),f329(a117,x59203))+~E(x59202,f329(f329(f311(x59201),x59204),x59205))+P1(f329(f329(f331(x59201),x59204),x59205))
% 191.26/191.48 [6158]~P116(x61582)+~E(f329(x61583,x61585),f2(x61582))+E(f329(f329(f9(x61581,x61582),x61583),x61584),f2(x61582))+~P1(f329(f62(x61581),x61584))+~P1(f329(f329(f331(x61581),x61585),x61584))
% 191.26/191.48 [6531]~P112(x65313)+E(x65311,x65312)+~E(f329(f304(x65313,x65314),x65311),f329(f304(x65313,x65315),x65312))+~P1(f329(f329(f241(x65313),x65315),x65312))+~P1(f329(f329(f241(x65313),x65314),x65311))
% 191.26/191.48 [6532]~P112(x65323)+E(x65321,x65322)+~E(f329(f304(x65323,x65321),x65324),f329(f304(x65323,x65322),x65325))+~P1(f329(f329(f241(x65323),x65322),x65325))+~P1(f329(f329(f241(x65323),x65321),x65324))
% 191.26/191.48 [6698]~P114(x66981)+~P46(x66985,x66981,x66982)+~P114(x66985)+P1(f329(f329(f240(x66981),f329(x66982,x66983)),f329(x66982,x66984)))+~P1(f329(f329(f240(x66985),x66983),x66984))
% 191.26/191.48 [7603]~P112(x76031)+~P18(x76031,f329(f329(f137(x76031),x76034),x76035))+~P1(f329(f329(f331(x76031),x76033),f329(f175(x76031),x76035)))+~P1(f329(f329(f331(x76031),x76032),f329(f175(x76031),x76034)))+P1(f329(f329(f240(x76031),x76032),x76033))
% 191.26/191.48 [8724]~P114(x87241)+~P1(f329(f329(f241(f916(x87241,a903)),f305(x87241,x87245,x87242)),f305(x87241,x87244,x87243)))+~P1(f329(f329(f240(x87241),x87245),x87242))+P1(f329(f329(f241(x87241),x87242),x87243))+P1(f329(f329(f241(x87241),x87244),x87245))
% 191.26/191.48 [9742]~P46(f916(x97424,a903),f916(x97424,a903),x97425)+P1(f329(x97421,x97422))+~E(x97423,f100(f916(x97424,a903),x97425))+~P1(f329(x97421,f544(x97421,x97422,x97425,x97424,x97423)))+~P1(f329(f329(f331(x97424),x97422),x97423))
% 191.26/191.48 [10127]~P22(x101272,x101275,x101273)+E(x101271,f191(f916(x101272,a903)))+~E(f329(f329(x101275,f329(x101274,f803(x101271,x101274,x101273,x101275,x101272))),f329(x101274,f814(x101271,x101274,x101273,x101275,x101272))),f329(x101274,f329(f329(x101275,f803(x101271,x101274,x101273,x101275,x101272)),f814(x101271,x101274,x101273,x101275,x101272))))+E(f329(x101273,f329(f312(x101272,x101272,x101274),x101271)),f329(x101274,f329(x101273,x101271)))+~P1(f329(f62(x101272),x101271))
% 191.26/191.48 [6528]~P23(x65282,x65285,x65283)+E(x65281,f191(f916(x65282,a903)))+~P1(f329(f62(x65282),x65281))+E(f329(x65283,f329(f329(f311(x65282),x65284),x65281)),f329(f329(x65285,x65284),f329(x65283,x65281)))+P1(f329(f329(f331(x65282),x65284),x65281))
% 191.26/191.48 [7352]~P22(x73522,x73523,x73524)+E(f329(f329(x73523,f329(x73524,x73521)),f329(x73524,x73525)),f329(x73524,x73525))+E(x73521,f191(f916(x73522,a903)))+~P1(f329(f62(x73522),x73525))+~P1(f329(f329(f240(f916(x73522,a903)),x73521),x73525))
% 191.26/191.48 [7735]~P23(x77354,x77355,x77351)+E(f329(x77351,x77352),x77353)+~P1(f329(f62(x77354),x77352))+~E(f329(f329(f23(f916(x77354,a903)),x77352),f329(f329(f311(x77354),x77353),f191(f916(x77354,a903)))),f191(f916(x77354,a903)))+~P1(f329(f329(f331(x77354),x77353),x77352))
% 191.26/191.48 [8695]E(x86951,x86952)+~P13(x86953,x86954,x86955)+E(f329(f329(f106(f916(x86953,a903)),x86951),x86952),f191(f916(x86953,a903)))+~P1(f329(f329(f331(f916(x86953,a903)),x86952),f329(f329(f61(x86953),x86954),x86955)))+~P1(f329(f329(f331(f916(x86953,a903)),x86951),f329(f329(f61(x86953),x86954),x86955)))
% 191.26/191.48 [9495]~P80(x94952)+~E(f329(x94953,f391(x94953,x94954,x94955,x94951,x94952)),f80(x94952))+E(f329(f329(f9(x94951,x94952),x94953),x94954),f329(f329(f9(x94951,x94952),x94953),x94955))+~P1(f329(f62(x94951),x94955))+~P1(f329(f329(f240(f916(x94951,a903)),x94954),x94955))
% 191.26/191.48 [9496]~P80(x94962)+~E(f329(x94963,f392(x94963,x94964,x94965,x94961,x94962)),f80(x94962))+E(f329(f329(f9(x94961,x94962),x94963),x94964),f329(f329(f9(x94961,x94962),x94963),x94965))+~P1(f329(f62(x94961),x94965))+~P1(f329(f329(f240(f916(x94961,a903)),x94964),x94965))
% 191.26/191.48 [9497]~P5(x94972)+~E(f329(x94973,f448(x94973,x94974,x94975,x94971,x94972)),f2(x94972))+E(f329(f329(f6(x94971,x94972),x94973),x94974),f329(f329(f6(x94971,x94972),x94973),x94975))+~P1(f329(f62(x94971),x94975))+~P1(f329(f329(f240(f916(x94971,a903)),x94974),x94975))
% 191.26/191.48 [9498]~P5(x94982)+~E(f329(x94983,f458(x94983,x94984,x94985,x94981,x94982)),f2(x94982))+E(f329(f329(f6(x94981,x94982),x94983),x94984),f329(f329(f6(x94981,x94982),x94983),x94985))+~P1(f329(f62(x94981),x94985))+~P1(f329(f329(f240(f916(x94981,a903)),x94984),x94985))
% 191.26/191.48 [9918]~P46(f916(x99181,a903),f916(x99181,a903),f329(f329(f8(f916(x99181,a903),f916(x99181,a903),f916(x99181,a903)),f267(x99181)),x99184))+~P1(f329(f329(x99184,f329(f329(f115(f916(x99181,a903)),x99185),x99183)),f545(x99185,x99182,x99184,x99181,x99183)))+~E(x99183,f101(f916(x99181,a903),f329(f329(f8(f916(x99181,a903),f916(x99181,a903),f916(x99181,a903)),f267(x99181)),x99184)))+P1(f329(f329(f331(x99181),x99182),x99183))+~P1(f329(f329(f331(x99181),x99182),x99185))
% 191.26/191.48 [9922]~P46(f916(x99221,a903),f916(x99221,a903),f329(f329(f8(f916(x99221,a903),f916(x99221,a903),f916(x99221,a903)),f267(x99221)),x99225))+~E(x99223,f101(f916(x99221,a903),f329(f329(f8(f916(x99221,a903),f916(x99221,a903),f916(x99221,a903)),f267(x99221)),x99225)))+~P1(f329(f329(f331(x99221),x99222),x99224))+P1(f329(f329(f331(x99221),f545(x99224,x99222,x99225,x99221,x99223)),x99224))+P1(f329(f329(f331(x99221),x99222),x99223))
% 191.26/191.48 [9973]~P90(x99731)+~P1(f329(f62(x99732),x99735))+~P1(f329(f329(f240(x99731),f2(x99731)),f329(x99733,f444(x99733,x99734,x99735,x99732,x99731))))+P1(f329(f329(f240(x99731),f329(f329(f6(x99732,x99731),x99733),x99734)),f329(f329(f6(x99732,x99731),x99733),x99735)))+~P1(f329(f329(f240(f916(x99732,a903)),x99734),x99735))
% 191.26/191.48 [7600]E(x76001,f2(a908))+P1(f329(x76002,x76003))+~E(x76004,f329(f329(f82(a908),f329(f329(f83(a908),x76001),x76003)),x76005))+~P1(f329(f329(f241(a908),x76005),x76001))+~P1(f329(x76002,f329(f329(f37(a908),x76004),x76001)))
% 191.26/191.48 [7675]E(x76751,f2(a908))+P1(f329(x76752,x76753))+~P1(f329(x76752,f46(a908,x76754,x76751)))+~E(x76754,f329(f329(f82(a908),f329(f329(f83(a908),x76751),x76755)),x76753))+~P1(f329(f329(f241(a908),x76753),x76751))
% 191.26/191.48 [7974]~P72(x79743)+E(f329(x79741,x79742),f2(x79743))+~P1(f329(f62(x79744),x79745))+E(f329(f329(f9(x79744,x79743),x79741),f329(f329(f23(f916(x79744,a903)),x79745),f329(f329(f311(x79744),x79742),f191(f916(x79744,a903))))),f329(f329(f9(x79744,x79743),x79741),x79745))+P1(f329(f329(f331(x79744),x79742),x79745))
% 191.26/191.48 [8381]~P80(x83811)+~P1(f329(f62(x83812),x83815))+~P1(f329(f62(x83812),x83814))+~E(f329(f329(f106(f916(x83812,a903)),x83814),x83815),f191(f916(x83812,a903)))+E(f329(f329(f83(x83811),f329(f329(f9(x83812,x83811),x83813),x83814)),f329(f329(f9(x83812,x83811),x83813),x83815)),f329(f329(f9(x83812,x83811),x83813),f329(f329(f115(f916(x83812,a903)),x83814),x83815)))
% 191.26/191.48 [8382]~P5(x83821)+~P1(f329(f62(x83822),x83825))+~P1(f329(f62(x83822),x83824))+~E(f329(f329(f106(f916(x83822,a903)),x83824),x83825),f191(f916(x83822,a903)))+E(f329(f329(f82(x83821),f329(f329(f6(x83822,x83821),x83823),x83824)),f329(f329(f6(x83822,x83821),x83823),x83825)),f329(f329(f6(x83822,x83821),x83823),f329(f329(f115(f916(x83822,a903)),x83824),x83825)))
% 191.26/191.48 [8481]~P72(x84813)+E(f329(x84811,x84812),f2(x84813))+~P1(f329(f62(x84814),x84815))+E(f329(f329(f9(x84814,x84813),x84811),f329(f329(f23(f916(x84814,a903)),x84815),f329(f329(f311(x84814),x84812),f191(f916(x84814,a903))))),f329(f329(f292(x84813),f329(f329(f9(x84814,x84813),x84811),x84815)),f329(x84811,x84812)))+~P1(f329(f329(f331(x84814),x84812),x84815))
% 191.26/191.48 [9202]~P13(x92021,x92025,x92024)+~E(f329(f329(f61(x92021),f329(f329(f311(x92021),x92022),f191(f916(x92021,a903)))),x92024),f329(f329(f61(x92021),f329(f329(f311(x92021),x92023),f191(f916(x92021,a903)))),x92024))+~P1(f329(f329(f331(x92021),x92023),x92025))+~P1(f329(f329(f331(x92021),x92022),x92025))+P1(f329(f329(f331(f915(x92021,x92021)),f329(f329(f257(x92021,x92021),x92022),x92023)),x92024))
% 191.26/191.48 [9224]~P13(x92241,x92245,x92243)+E(f329(f329(f61(x92241),f329(f329(f311(x92241),x92242),f191(f916(x92241,a903)))),x92243),f329(f329(f61(x92241),f329(f329(f311(x92241),x92244),f191(f916(x92241,a903)))),x92243))+~P1(f329(f329(f331(x92241),x92244),x92245))+~P1(f329(f329(f331(x92241),x92242),x92245))+~P1(f329(f329(f331(f915(x92241,x92241)),f329(f329(f257(x92241,x92241),x92242),x92244)),x92243))
% 191.26/191.48 [9523]~P80(x95231)+~P1(f329(f62(x95232),x95235))+~P1(f329(f62(x95232),x95234))+~E(f329(f329(f106(f916(x95232,a903)),x95234),x95235),f191(f916(x95232,a903)))+E(f329(f329(f83(x95231),f329(f329(f329(f66(x95231,x95232,f83(x95231)),x95233),f80(x95231)),x95234)),f329(f329(f329(f66(x95231,x95232,f83(x95231)),x95233),f80(x95231)),x95235)),f329(f329(f329(f66(x95231,x95232,f83(x95231)),x95233),f80(x95231)),f329(f329(f115(f916(x95232,a903)),x95234),x95235)))
% 191.26/191.48 [9532]~P80(x95321)+~E(f329(x95323,f890(x95323,x95325,x95324,x95322,x95321)),f80(x95321))+~P1(f329(f62(x95322),x95324))+~P1(f329(f62(x95322),x95325))+E(f329(f329(f83(x95321),f329(f329(f9(x95322,x95321),x95323),x95324)),f329(f329(f9(x95322,x95321),x95323),x95325)),f329(f329(f9(x95322,x95321),x95323),f329(f329(f115(f916(x95322,a903)),x95324),x95325)))
% 191.26/191.48 [9533]~P80(x95331)+~E(f329(x95333,f891(x95333,x95335,x95334,x95332,x95331)),f80(x95331))+~P1(f329(f62(x95332),x95334))+~P1(f329(f62(x95332),x95335))+E(f329(f329(f83(x95331),f329(f329(f9(x95332,x95331),x95333),x95334)),f329(f329(f9(x95332,x95331),x95333),x95335)),f329(f329(f9(x95332,x95331),x95333),f329(f329(f115(f916(x95332,a903)),x95334),x95335)))
% 191.26/191.48 [9534]~P5(x95341)+~E(f329(x95343,f449(x95343,x95345,x95344,x95342,x95341)),f2(x95341))+~P1(f329(f62(x95342),x95344))+~P1(f329(f62(x95342),x95345))+E(f329(f329(f82(x95341),f329(f329(f6(x95342,x95341),x95343),x95344)),f329(f329(f6(x95342,x95341),x95343),x95345)),f329(f329(f6(x95342,x95341),x95343),f329(f329(f115(f916(x95342,a903)),x95344),x95345)))
% 191.26/191.48 [9535]~P5(x95351)+~E(f329(x95353,f451(x95353,x95355,x95354,x95352,x95351)),f2(x95351))+~P1(f329(f62(x95352),x95354))+~P1(f329(f62(x95352),x95355))+E(f329(f329(f82(x95351),f329(f329(f6(x95352,x95351),x95353),x95354)),f329(f329(f6(x95352,x95351),x95353),x95355)),f329(f329(f6(x95352,x95351),x95353),f329(f329(f115(f916(x95352,a903)),x95354),x95355)))
% 191.26/191.48 [9750]~P80(x97501)+~E(f329(x97503,f880(x97503,x97505,x97504,x97502,x97501)),f80(x97501))+~P1(f329(f62(x97502),x97504))+~P1(f329(f62(x97502),x97505))+E(f329(f329(f83(x97501),f329(f329(f329(f66(x97501,x97502,f83(x97501)),x97503),f80(x97501)),x97504)),f329(f329(f329(f66(x97501,x97502,f83(x97501)),x97503),f80(x97501)),x97505)),f329(f329(f329(f66(x97501,x97502,f83(x97501)),x97503),f80(x97501)),f329(f329(f115(f916(x97502,a903)),x97504),x97505)))
% 191.26/191.48 [9859]~P80(x98592)+E(f329(f329(f9(x98591,x98592),x98593),x98594),f329(f329(f9(x98591,x98592),x98593),x98595))+~P1(f329(f62(x98591),x98595))+~P1(f329(f329(f240(f916(x98591,a903)),x98594),x98595))+P1(f329(f329(f331(x98591),f391(x98593,x98594,x98595,x98591,x98592)),f329(f329(f23(f916(x98591,a903)),x98595),x98594)))
% 191.26/191.48 [9860]~P80(x98602)+E(f329(f329(f9(x98601,x98602),x98603),x98604),f329(f329(f9(x98601,x98602),x98603),x98605))+~P1(f329(f62(x98601),x98605))+~P1(f329(f329(f240(f916(x98601,a903)),x98604),x98605))+P1(f329(f329(f331(x98601),f392(x98603,x98604,x98605,x98601,x98602)),f329(f329(f23(f916(x98601,a903)),x98605),x98604)))
% 191.26/191.48 [9861]~P5(x98612)+E(f329(f329(f6(x98611,x98612),x98613),x98614),f329(f329(f6(x98611,x98612),x98613),x98615))+~P1(f329(f62(x98611),x98615))+~P1(f329(f329(f240(f916(x98611,a903)),x98614),x98615))+P1(f329(f329(f331(x98611),f448(x98613,x98614,x98615,x98611,x98612)),f329(f329(f23(f916(x98611,a903)),x98615),x98614)))
% 191.26/191.48 [9862]~P5(x98622)+E(f329(f329(f6(x98621,x98622),x98623),x98624),f329(f329(f6(x98621,x98622),x98623),x98625))+~P1(f329(f62(x98621),x98625))+~P1(f329(f329(f240(f916(x98621,a903)),x98624),x98625))+P1(f329(f329(f331(x98621),f458(x98623,x98624,x98625,x98621,x98622)),f329(f329(f23(f916(x98621,a903)),x98625),x98624)))
% 191.26/191.48 [9880]~P80(x98801)+~P1(f329(f62(x98802),x98804))+~P1(f329(f62(x98802),x98805))+E(f329(f329(f83(x98801),f329(f329(f9(x98802,x98801),x98803),x98804)),f329(f329(f9(x98802,x98801),x98803),x98805)),f329(f329(f9(x98802,x98801),x98803),f329(f329(f115(f916(x98802,a903)),x98804),x98805)))+P1(f329(f329(f331(x98802),f890(x98803,x98805,x98804,x98802,x98801)),f329(f329(f106(f916(x98802,a903)),x98804),x98805)))
% 191.26/191.48 [9881]~P80(x98811)+~P1(f329(f62(x98812),x98814))+~P1(f329(f62(x98812),x98815))+E(f329(f329(f83(x98811),f329(f329(f9(x98812,x98811),x98813),x98814)),f329(f329(f9(x98812,x98811),x98813),x98815)),f329(f329(f9(x98812,x98811),x98813),f329(f329(f115(f916(x98812,a903)),x98814),x98815)))+P1(f329(f329(f331(x98812),f891(x98813,x98815,x98814,x98812,x98811)),f329(f329(f106(f916(x98812,a903)),x98814),x98815)))
% 191.26/191.48 [9882]~P5(x98821)+~P1(f329(f62(x98822),x98824))+~P1(f329(f62(x98822),x98825))+E(f329(f329(f82(x98821),f329(f329(f6(x98822,x98821),x98823),x98824)),f329(f329(f6(x98822,x98821),x98823),x98825)),f329(f329(f6(x98822,x98821),x98823),f329(f329(f115(f916(x98822,a903)),x98824),x98825)))+P1(f329(f329(f331(x98822),f449(x98823,x98825,x98824,x98822,x98821)),f329(f329(f106(f916(x98822,a903)),x98824),x98825)))
% 191.26/191.48 [9883]~P5(x98831)+~P1(f329(f62(x98832),x98834))+~P1(f329(f62(x98832),x98835))+E(f329(f329(f82(x98831),f329(f329(f6(x98832,x98831),x98833),x98834)),f329(f329(f6(x98832,x98831),x98833),x98835)),f329(f329(f6(x98832,x98831),x98833),f329(f329(f115(f916(x98832,a903)),x98834),x98835)))+P1(f329(f329(f331(x98832),f451(x98833,x98835,x98834,x98832,x98831)),f329(f329(f106(f916(x98832,a903)),x98834),x98835)))
% 191.26/191.48 [9886]~P46(f916(x98863,a903),f916(x98863,a903),x98864)+P1(f329(x98861,x98862))+~E(x98865,f100(f916(x98863,a903),x98864))+~P1(f329(f329(f331(x98863),x98862),x98865))+P1(f329(f329(f331(x98863),f544(x98861,x98862,x98864,x98863,x98865)),f329(x98864,f329(f329(f106(f916(x98863,a903)),x98865),f329(f267(x98863),x98861)))))
% 191.26/191.48 [9890]~P90(x98905)+~P1(f329(f62(x98901),x98904))+P1(f329(f329(f240(x98905),f329(f329(f6(x98901,x98905),x98902),x98903)),f329(f329(f6(x98901,x98905),x98902),x98904)))+~P1(f329(f329(f240(f916(x98901,a903)),x98903),x98904))+P1(f329(f329(f331(x98901),f444(x98902,x98903,x98904,x98901,x98905)),f329(f329(f23(f916(x98901,a903)),x98904),x98903)))
% 191.26/191.48 [9936]~P80(x99361)+~P1(f329(f62(x99362),x99364))+~P1(f329(f62(x99362),x99365))+E(f329(f329(f83(x99361),f329(f329(f329(f66(x99361,x99362,f83(x99361)),x99363),f80(x99361)),x99364)),f329(f329(f329(f66(x99361,x99362,f83(x99361)),x99363),f80(x99361)),x99365)),f329(f329(f329(f66(x99361,x99362,f83(x99361)),x99363),f80(x99361)),f329(f329(f115(f916(x99362,a903)),x99364),x99365)))+P1(f329(f329(f331(x99362),f880(x99363,x99365,x99364,x99362,x99361)),f329(f329(f106(f916(x99362,a903)),x99364),x99365)))
% 191.26/191.48 [8888]~P23(x88881,x88884,x88885)+~P1(f329(f62(x88881),x88882))+E(f329(f329(f23(f916(x88881,a903)),x88882),f329(f329(f311(x88881),x88883),f191(f916(x88881,a903)))),f191(f916(x88881,a903)))+~P1(f329(f329(f331(x88881),x88883),x88882))+E(f329(f329(x88884,x88883),f329(x88885,f329(f329(f23(f916(x88881,a903)),x88882),f329(f329(f311(x88881),x88883),f191(f916(x88881,a903)))))),f329(x88885,x88882))
% 191.26/191.48 [8964]~P23(x89641,x89644,x89645)+~P1(f329(f62(x89641),x89643))+~P1(f329(f62(x89641),x89642))+E(f329(f329(f106(f916(x89641,a903)),x89642),x89643),f191(f916(x89641,a903)))+E(f329(f329(x89644,f329(x89645,f329(f329(f115(f916(x89641,a903)),x89642),x89643))),f329(x89645,f329(f329(f106(f916(x89641,a903)),x89642),x89643))),f329(f329(x89644,f329(x89645,x89642)),f329(x89645,x89643)))
% 191.26/191.48 [9151]~P46(f916(x91511,a903),f916(x91511,a903),x91514)+~E(x91513,f101(f916(x91511,a903),x91514))+P1(f329(f329(f331(x91511),x91512),x91513))+~P1(f329(f329(f331(x91511),x91512),x91515))+~P1(f329(f329(f240(f916(x91511,a903)),x91515),f329(x91514,f329(f329(f115(f916(x91511,a903)),x91515),x91513))))
% 191.26/191.48 [9537]~P1(f329(f329(f240(a1),x95374),f2(a1)))+~P1(f329(f329(f241(a1),x95373),x95375))+P1(f329(f329(f240(a1),x95371),x95372))+~P1(f329(f329(f241(a1),x95373),x95374))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95373),x95372)),x95375)),f329(f329(f82(a1),f329(f329(f83(a1),x95373),x95371)),x95374)))
% 191.26/191.48 [9539]~P1(f329(f329(f240(a1),f2(a1)),x95395))+P1(f329(f329(f240(a1),x95391),x95392))+~P1(f329(f329(f241(a1),x95393),x95394))+~P1(f329(f329(f241(a1),x95395),x95394))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95394),x95391)),x95395)),f329(f329(f82(a1),f329(f329(f83(a1),x95394),x95392)),x95393)))
% 191.26/191.48 [9657]~P72(x96575)+E(f329(x96571,f897(x96571,x96572,x96573,x96574,x96575)),f2(x96575))+~P1(f329(f62(x96574),x96573))+~P1(f329(f62(x96574),x96572))+E(f329(f329(f292(x96575),f329(f329(f83(x96575),f329(f329(f9(x96574,x96575),x96571),x96573)),f329(f329(f9(x96574,x96575),x96571),x96572))),f329(f329(f9(x96574,x96575),x96571),f329(f329(f106(f916(x96574,a903)),x96573),x96572))),f329(f329(f9(x96574,x96575),x96571),f329(f329(f115(f916(x96574,a903)),x96573),x96572)))
% 191.26/191.48 [9928]~P72(x99281)+~P1(f329(f62(x99282),x99284))+~P1(f329(f62(x99282),x99285))+E(f329(f329(f292(x99281),f329(f329(f83(x99281),f329(f329(f9(x99282,x99281),x99283),x99284)),f329(f329(f9(x99282,x99281),x99283),x99285))),f329(f329(f9(x99282,x99281),x99283),f329(f329(f106(f916(x99282,a903)),x99284),x99285))),f329(f329(f9(x99282,x99281),x99283),f329(f329(f115(f916(x99282,a903)),x99284),x99285)))+P1(f329(f329(f331(x99282),f897(x99283,x99285,x99284,x99282,x99281)),f329(f329(f106(f916(x99282,a903)),x99284),x99285)))
% 191.26/191.48 [9244]E(f329(f329(f137(x92441),x92442),x92443),f329(f329(f137(x92441),x92444),x92445))+~E(f329(f329(f178(x92441),f329(f192(f909(x92441)),x92444)),x92442),x92444)+~E(f329(f329(f178(x92441),f329(f192(f909(x92441)),x92442)),x92444),x92442)+~E(x92445,f329(f329(f137(x92441),f329(f329(f141(x92441),f329(f192(f909(x92441)),x92444)),x92442)),x92443))+~E(f329(f329(f137(x92441),f329(f329(f141(x92441),f329(f192(f909(x92441)),x92442)),x92444)),x92445),x92443)
% 191.26/191.48 [9655]~P112(x96552)+E(f329(f329(f151(x96551,x96552,x96553),x96554),f173(x96551,x96554,x96555)),x96555)+~P18(x96552,f329(f329(f157(x96551,x96552),x96553),x96555))+~P1(f329(f329(f331(x96551),x96554),f329(f175(x96551),x96555)))+~E(f329(f144(x96551),f329(f139(x96551,f329(f329(f8(x96552,a903,x96551),f329(a326,f329(x96553,x96554))),x96553)),x96555)),x96554)
% 191.26/191.48 [9990]~P76(x99901)+~P1(f329(f67(x99901,x99901,f83(x99901),x99902,x99903),x99905))+~P1(f329(f329(f331(x99901),x99904),x99903))+P1(f329(f329(f331(x99901),x99902),x99903))+P1(f329(f67(x99901,x99901,f83(x99901),x99904,f329(f329(f311(x99901),x99902),f329(f329(f23(f916(x99901,a903)),x99903),f329(f329(f311(x99901),x99904),f191(f916(x99901,a903)))))),x99905))
% 191.26/191.48 [10335]~P46(f916(x103351,a903),f916(x103351,a903),x103354)+~E(x103353,f101(f916(x103351,a903),x103354))+P1(f329(f329(f331(x103351),x103352),x103353))+~P1(f329(f329(f331(x103351),x103352),x103355))+~P1(f329(f329(f240(f916(x103351,a903)),x103355),f329(x103354,f100(f916(x103351,a903),f329(f329(f7(f916(x103351,a903),f916(x103351,a903),f916(x103351,a903)),f329(f329(f8(f916(x103351,a903),f916(f916(x103351,a903),f916(x103351,a903)),f916(x103351,a903)),f115(f916(x103351,a903))),f329(f329(f7(f916(x103351,a903),f916(x103351,a903),f916(x103351,a903)),f329(f329(f8(f916(x103351,a903),f916(f916(x103351,a903),f916(x103351,a903)),f916(x103351,a903)),f115(f916(x103351,a903))),x103354)),x103355))),x103353)))))
% 191.26/191.48 [7360]E(x73601,x73602)+~P30(x73604,x73605,x73603,x73606)+~E(f329(x73603,x73601),f329(x73603,x73602))+~P1(f329(f329(f331(x73604),x73602),x73606))+~P1(f329(f329(f331(x73604),x73601),x73606))
% 191.26/191.48 [6621]~P146(x66214)+E(x66211,x66212)+~E(x66215,x66216)+E(x66213,f2(x66214))+~E(f329(f329(f82(x66214),x66215),f329(f329(f83(x66214),x66213),x66211)),f329(f329(f82(x66214),x66216),f329(f329(f83(x66214),x66213),x66212)))
% 191.26/191.48 [7655]~P112(x76551)+~P10(x76551)+~P1(f329(f329(f241(x76551),x76552),f329(x76555,x76556)))+~P1(f329(f329(f331(x76553),x76556),x76554))+P1(f329(f329(f241(x76551),x76552),f329(f329(f40(x76553,x76551),x76554),x76555)))
% 191.26/191.48 [8351]~P112(x83511)+~P10(x83511)+~P1(f329(f329(f241(x83511),f329(x83514,x83516)),x83515))+~P1(f329(f329(f331(x83512),x83516),x83513))+P1(f329(f329(f241(x83511),f329(f329(f41(x83512,x83511),x83513),x83514)),x83515))
% 191.26/191.48 [8615]~P24(x86152,x86155,x86156,x86151)+~P1(f329(f62(x86152),x86154))+~P1(f329(f62(x86152),x86153))+~E(f329(f329(f106(f916(x86152,a903)),x86153),x86154),f191(f916(x86152,a903)))+E(f329(x86151,f329(f329(f115(f916(x86152,a903)),x86153),x86154)),f329(f74(x86155,x86155,x86155,f329(x86151,x86153)),f329(x86151,x86154)))
% 191.26/191.48 [10184]~P80(x101841)+~E(f840(x101844,x101845,x101843,x101846,x101842,x101841),f841(x101844,x101845,x101843,x101846,x101842,x101841))+~P1(f329(f62(x101842),x101846))+E(f329(f329(f329(f66(x101841,x101842,f83(x101841)),f329(f329(f8(f916(x101843,a903),x101841,x101842),f329(f329(f66(x101841,x101843,f83(x101841)),x101844),f80(x101841))),x101845)),f80(x101841)),x101846),f329(f329(f329(f66(x101841,x101843,f83(x101841)),x101844),f80(x101841)),f329(f329(f40(x101842,f916(x101843,a903)),x101846),x101845)))+P1(f329(f329(f331(x101842),f839(x101844,x101845,x101843,x101846,x101842,x101841)),x101846))
% 191.26/191.48 [10214]~P80(x102141)+~E(f840(x102144,x102145,x102143,x102146,x102142,x102141),f841(x102144,x102145,x102143,x102146,x102142,x102141))+~P1(f329(f62(x102142),x102146))+E(f329(f329(f329(f66(x102141,x102142,f83(x102141)),f329(f329(f8(f916(x102143,a903),x102141,x102142),f329(f329(f66(x102141,x102143,f83(x102141)),x102144),f80(x102141))),x102145)),f80(x102141)),x102146),f329(f329(f329(f66(x102141,x102143,f83(x102141)),x102144),f80(x102141)),f329(f329(f40(x102142,f916(x102143,a903)),x102146),x102145)))+~P1(f329(f62(x102143),f329(x102145,f839(x102144,x102145,x102143,x102146,x102142,x102141))))
% 191.26/191.48 [10217]~P80(x102171)+~P1(f329(f62(x102172),x102176))+E(f329(f329(f329(f66(x102171,x102172,f83(x102171)),f329(f329(f8(f916(x102173,a903),x102171,x102172),f329(f329(f66(x102171,x102173,f83(x102171)),x102174),f80(x102171))),x102175)),f80(x102171)),x102176),f329(f329(f329(f66(x102171,x102173,f83(x102171)),x102174),f80(x102171)),f329(f329(f40(x102172,f916(x102173,a903)),x102176),x102175)))+P1(f329(f329(f331(x102172),f839(x102174,x102175,x102173,x102176,x102172,x102171)),x102176))+P1(f329(f329(f331(x102172),f841(x102174,x102175,x102173,x102176,x102172,x102171)),x102176))
% 191.26/191.48 [10218]~P80(x102181)+~P1(f329(f62(x102182),x102186))+E(f329(f329(f329(f66(x102181,x102182,f83(x102181)),f329(f329(f8(f916(x102183,a903),x102181,x102182),f329(f329(f66(x102181,x102183,f83(x102181)),x102184),f80(x102181))),x102185)),f80(x102181)),x102186),f329(f329(f329(f66(x102181,x102183,f83(x102181)),x102184),f80(x102181)),f329(f329(f40(x102182,f916(x102183,a903)),x102186),x102185)))+P1(f329(f329(f331(x102182),f839(x102184,x102185,x102183,x102186,x102182,x102181)),x102186))+P1(f329(f329(f331(x102182),f840(x102184,x102185,x102183,x102186,x102182,x102181)),x102186))
% 191.26/191.48 [10238]~P80(x102381)+~P1(f329(f62(x102382),x102386))+E(f329(f329(f329(f66(x102381,x102382,f83(x102381)),f329(f329(f8(f916(x102383,a903),x102381,x102382),f329(f329(f66(x102381,x102383,f83(x102381)),x102384),f80(x102381))),x102385)),f80(x102381)),x102386),f329(f329(f329(f66(x102381,x102383,f83(x102381)),x102384),f80(x102381)),f329(f329(f40(x102382,f916(x102383,a903)),x102386),x102385)))+P1(f329(f329(f331(x102382),f841(x102384,x102385,x102383,x102386,x102382,x102381)),x102386))+~P1(f329(f62(x102383),f329(x102385,f839(x102384,x102385,x102383,x102386,x102382,x102381))))
% 191.26/191.48 [10239]~P80(x102391)+~P1(f329(f62(x102392),x102396))+E(f329(f329(f329(f66(x102391,x102392,f83(x102391)),f329(f329(f8(f916(x102393,a903),x102391,x102392),f329(f329(f66(x102391,x102393,f83(x102391)),x102394),f80(x102391))),x102395)),f80(x102391)),x102396),f329(f329(f329(f66(x102391,x102393,f83(x102391)),x102394),f80(x102391)),f329(f329(f40(x102392,f916(x102393,a903)),x102396),x102395)))+P1(f329(f329(f331(x102392),f840(x102394,x102395,x102393,x102396,x102392,x102391)),x102396))+~P1(f329(f62(x102393),f329(x102395,f839(x102394,x102395,x102393,x102396,x102392,x102391))))
% 191.26/191.48 [10250]~P80(x102501)+~E(f329(f329(f106(f916(x102503,a903)),f329(x102505,f841(x102504,x102505,x102503,x102506,x102502,x102501))),f329(x102505,f840(x102504,x102505,x102503,x102506,x102502,x102501))),f191(f916(x102503,a903)))+~P1(f329(f62(x102502),x102506))+E(f329(f329(f329(f66(x102501,x102502,f83(x102501)),f329(f329(f8(f916(x102503,a903),x102501,x102502),f329(f329(f66(x102501,x102503,f83(x102501)),x102504),f80(x102501))),x102505)),f80(x102501)),x102506),f329(f329(f329(f66(x102501,x102503,f83(x102501)),x102504),f80(x102501)),f329(f329(f40(x102502,f916(x102503,a903)),x102506),x102505)))+P1(f329(f329(f331(x102502),f839(x102504,x102505,x102503,x102506,x102502,x102501)),x102506))
% 191.26/191.48 [10260]~P80(x102601)+~E(f329(f329(f106(f916(x102603,a903)),f329(x102605,f841(x102604,x102605,x102603,x102606,x102602,x102601))),f329(x102605,f840(x102604,x102605,x102603,x102606,x102602,x102601))),f191(f916(x102603,a903)))+~P1(f329(f62(x102602),x102606))+E(f329(f329(f329(f66(x102601,x102602,f83(x102601)),f329(f329(f8(f916(x102603,a903),x102601,x102602),f329(f329(f66(x102601,x102603,f83(x102601)),x102604),f80(x102601))),x102605)),f80(x102601)),x102606),f329(f329(f329(f66(x102601,x102603,f83(x102601)),x102604),f80(x102601)),f329(f329(f40(x102602,f916(x102603,a903)),x102606),x102605)))+~P1(f329(f62(x102603),f329(x102605,f839(x102604,x102605,x102603,x102606,x102602,x102601))))
% 191.26/191.48 [8934]E(x89341,x89342)+~P64(x89344,x89345,x89346,x89343,x89347)+~E(f329(x89343,x89341),f329(x89343,x89342))+~P1(f329(f329(f331(x89345),x89342),x89347))+~P1(f329(f329(f331(x89345),x89341),x89347))
% 191.26/191.48 [10228]~P1(f329(x102282,x102284))+~E(x102285,f329(f139(x102281,x102282),x102287))+E(f329(f139(x102281,x102282),x102283),f329(f329(f154(x102281),x102284),x102285))+~E(x102283,f329(f329(f137(x102281),x102286),f329(f329(f154(x102281),x102284),x102287)))+P1(f329(x102282,f773(x102285,x102284,x102283,x102282,x102281,x102286,x102287)))
% 191.26/191.48 [10229]~P1(f329(x102294,x102292))+~E(x102293,f329(f139(x102291,x102294),x102297))+E(f329(f329(f154(x102291),x102292),x102293),f329(f139(x102291,x102294),x102295))+~E(x102295,f329(f329(f137(x102291),x102296),f329(f329(f154(x102291),x102292),x102297)))+P1(f329(x102294,f772(x102295,x102294,x102293,x102292,x102291,x102296,x102297)))
% 191.26/191.48 [10271]~P1(f329(x102712,x102714))+~E(x102715,f329(f139(x102711,x102712),x102717))+E(f329(f139(x102711,x102712),x102713),f329(f329(f154(x102711),x102714),x102715))+~E(x102713,f329(f329(f137(x102711),x102716),f329(f329(f154(x102711),x102714),x102717)))+P1(f329(f329(f331(x102711),f773(x102715,x102714,x102713,x102712,x102711,x102716,x102717)),f329(f175(x102711),x102716)))
% 191.26/191.48 [10272]~P1(f329(x102724,x102722))+~E(x102723,f329(f139(x102721,x102724),x102727))+E(f329(f329(f154(x102721),x102722),x102723),f329(f139(x102721,x102724),x102725))+~E(x102725,f329(f329(f137(x102721),x102726),f329(f329(f154(x102721),x102722),x102727)))+P1(f329(f329(f331(x102721),f772(x102725,x102724,x102723,x102722,x102721,x102726,x102727)),f329(f175(x102721),x102726)))
% 191.26/191.48 [10275]~P13(x102751,x102757,x102756)+~P16(x102751,f916(x102755,a903),x102756,x102754)+P1(f329(f329(f331(x102751),f482(x102752,x102753,x102754,x102755,x102756,x102757,x102751)),x102757))+~P1(f329(f329(f331(f916(x102751,a903)),x102753),f329(f329(f61(x102751),x102757),x102756)))+P1(f329(f329(f331(f916(x102755,a903)),f329(f329(f40(x102751,f916(x102755,a903)),x102753),x102754)),x102752))
% 191.26/191.48 [10330]~P13(x103302,x103306,x103307)+~P16(x103302,f916(x103301,a903),x103307,x103304)+~P1(f329(f329(f331(f916(x103302,a903)),x103303),f329(f329(f61(x103302),x103306),x103307)))+~P1(f329(f329(f331(f916(x103301,a903)),f329(x103304,f482(x103305,x103303,x103304,x103301,x103307,x103306,x103302))),x103305))+P1(f329(f329(f331(f916(x103301,a903)),f329(f329(f40(x103302,f916(x103301,a903)),x103303),x103304)),x103305))
% 191.26/191.48 [8524]~P80(x85242)+~P30(x85241,x85245,x85248,x85244)+~E(x85243,f329(f74(x85245,x85242,x85241,x85246),x85248))+~E(x85247,f329(f312(x85241,x85245,x85248),x85244))+E(f329(f329(f9(x85241,x85242),x85243),x85244),f329(f329(f9(x85245,x85242),x85246),x85247))
% 191.26/191.48 [10334]~P80(x103342)+~P30(x103345,x103341,x103348,x103347)+~E(f329(x103346,f390(x103343,x103346,x103344,x103347,x103348,x103341,x103345,x103342)),f329(f329(f74(x103341,x103342,x103345,x103343),x103348),f390(x103343,x103346,x103344,x103347,x103348,x103341,x103345,x103342)))+~E(x103344,f329(f312(x103345,x103341,x103348),x103347))+E(f329(f329(f9(x103341,x103342),x103343),x103344),f329(f329(f9(x103345,x103342),x103346),x103347))
% 191.26/191.48 [10340]~P80(x103402)+~P30(x103401,x103405,x103408,x103404)+~E(x103407,f329(f312(x103401,x103405,x103408),x103404))+E(f329(f329(f9(x103401,x103402),x103403),x103404),f329(f329(f9(x103405,x103402),x103406),x103407))+P1(f329(f329(f331(x103401),f390(x103406,x103403,x103407,x103404,x103408,x103405,x103401,x103402)),x103404))
% 191.26/191.48 [10341]~P5(x103412)+~P30(x103411,x103415,x103418,x103414)+~E(x103417,f329(f312(x103411,x103415,x103418),x103414))+E(f329(f329(f6(x103411,x103412),x103413),x103414),f329(f329(f6(x103415,x103412),x103416),x103417))+P1(f329(f329(f331(x103411),f596(x103416,x103413,x103417,x103414,x103418,x103415,x103411,x103412)),x103414))
% 191.26/191.48 [10347]~P5(x103472)+~P30(x103475,x103471,x103478,x103477)+~E(x103474,f329(f312(x103475,x103471,x103478),x103477))+~E(f329(x103476,f596(x103473,x103476,x103474,x103477,x103478,x103471,x103475,x103472)),f329(x103473,f329(x103478,f596(x103473,x103476,x103474,x103477,x103478,x103471,x103475,x103472))))+E(f329(f329(f6(x103471,x103472),x103473),x103474),f329(f329(f6(x103475,x103472),x103476),x103477))
% 191.26/191.48 [9823]~P28(x98236,x98232,x98235,x98237,x98238,x98231)+~P1(f329(f62(x98232),x98234))+~P1(f329(f62(x98232),x98233))+~E(f329(f329(f106(f916(x98232,a903)),x98233),x98234),f191(f916(x98232,a903)))+E(f329(x98231,f329(f329(f115(f916(x98232,a903)),x98233),x98234)),f329(f329(x98235,f329(x98231,x98233)),f329(x98231,x98234)))
% 191.26/191.48 [10211]~P28(x102118,x102112,x102115,x102117,x102116,x102111)+~E(f329(x102116,f875(x102114,x102113,x102111,x102116,x102117,x102115,x102112)),x102117)+~P1(f329(f62(x102112),x102113))+~P1(f329(f62(x102112),x102114))+E(f329(x102111,f329(f329(f115(f916(x102112,a903)),x102113),x102114)),f329(f329(x102115,f329(x102111,x102113)),f329(x102111,x102114)))
% 191.26/191.48 [10282]~P28(x102828,x102822,x102825,x102827,x102826,x102821)+~P1(f329(f62(x102822),x102823))+~P1(f329(f62(x102822),x102824))+E(f329(x102821,f329(f329(f115(f916(x102822,a903)),x102823),x102824)),f329(f329(x102825,f329(x102821,x102823)),f329(x102821,x102824)))+P1(f329(f329(f331(x102822),f875(x102824,x102823,x102821,x102826,x102827,x102825,x102822)),f329(f329(f106(f916(x102822,a903)),x102823),x102824)))
% 191.26/191.48 [9978]~P13(x99784,x99788,x99785)+~P13(x99781,x99789,x99783)+~P17(x99781,x99784,f916(x99782,a903),x99783,x99785,x99787)+P16(x99781,f916(x99782,a903),x99783,f329(f329(f8(f916(x99784,f916(x99782,a903)),f916(x99782,a903),x99781),f329(f40(x99784,f916(x99782,a903)),f329(f288(x99784,x99784,x99785),f329(f329(f311(x99784),x99786),f191(f916(x99784,a903)))))),x99787))+~P1(f329(f329(f331(x99784),x99786),x99788))
% 191.26/191.48 [5528]~P112(x55283)+~P18(x55283,x55281)+E(x55281,f750(x55282,x55283))+~E(f329(f175(x55283),x55281),x55282)+~P1(f329(f62(x55283),x55282))+~P1(f329(f140(x55283),x55281))
% 191.26/191.48 [7351]P20(x73511,x73512)+~E(f329(x73512,f831(x73512)),f329(x73512,f832(x73512)))+~P1(f329(f329(x73512,f831(x73512)),f831(x73512)))+~P1(f329(f329(x73512,f831(x73512)),f832(x73512)))+~P1(f329(f329(x73512,f832(x73512)),f832(x73512)))+~P1(f329(f329(x73512,x73513),x73513))
% 191.26/191.48 [5150]~P147(x51502)+~P131(x51502)+~P132(x51502)+~P118(x51502)+E(x51501,f2(x51502))+~E(f329(f329(f249(x51502),x51501),x51503),f2(x51502))
% 191.26/191.48 [5151]~P147(x51512)+~P131(x51512)+~P132(x51512)+~P118(x51512)+~E(x51511,f2(a908))+~E(f329(f329(f249(x51512),x51513),x51511),f2(x51512))
% 191.26/191.48 [6601]~P90(x66011)+~E(x66013,f2(x66011))+~E(x66012,f2(x66011))+E(f329(f329(f82(x66011),x66012),x66013),f2(x66011))+~P1(f329(f329(f240(x66011),f2(x66011)),x66013))+~P1(f329(f329(f240(x66011),f2(x66011)),x66012))
% 191.26/191.48 [9001]~E(f329(f256(a908,a908),x90013),f2(a908))+~E(x90011,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),x90013)),x90012)),f329(f261(a908,a908),x90013)))+P1(f329(f49(x90011,x90012),x90013))+~P1(f329(f329(f240(a908),f329(f261(a908,a908),x90013)),f2(a908)))+P1(f329(f329(f241(a908),f2(a908)),x90012))+~P1(f329(f329(f241(a908),x90012),f329(f261(a908,a908),x90013)))
% 191.26/191.48 [9009]E(x90091,f2(a908))+~E(x90092,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),x90093)),x90091)),f329(f261(a908,a908),x90093)))+P1(f329(f49(x90092,x90091),x90093))+~P1(f329(f329(f241(a908),f2(a908)),x90091))+~P1(f329(f329(f240(a908),f2(a908)),f329(f261(a908,a908),x90093)))+~P1(f329(f329(f241(a908),f329(f261(a908,a908),x90093)),x90091))
% 191.26/191.48 [9028]~E(f329(f256(a908,a908),x90283),f2(a908))+~E(x90281,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),x90283)),x90282)),f329(f261(a908,a908),x90283)))+P1(f329(f49(x90281,x90282),x90283))+~P1(f329(f329(f241(a908),f2(a908)),x90282))+~P1(f329(f329(f240(a908),f2(a908)),f329(f261(a908,a908),x90283)))+~P1(f329(f329(f241(a908),f329(f261(a908,a908),x90283)),x90282))
% 191.26/191.48 [6981]~P2(x69812)+E(x69811,f191(f916(x69812,a903)))+E(x69813,f191(f916(x69812,a903)))+~P1(f329(f62(x69812),x69811))+~P1(f329(f62(x69812),x69813))+E(f10(x69812,f329(f329(f115(f916(x69812,a903)),x69813),x69811)),f329(f329(f106(x69812),f10(x69812,x69813)),f10(x69812,x69811)))
% 191.26/191.48 [6982]~P2(x69822)+E(x69821,f191(f916(x69822,a903)))+E(x69823,f191(f916(x69822,a903)))+~P1(f329(f62(x69822),x69821))+~P1(f329(f62(x69822),x69823))+E(f13(x69822,f329(f329(f115(f916(x69822,a903)),x69823),x69821)),f329(f329(f115(x69822),f13(x69822,x69823)),f13(x69822,x69821)))
% 191.26/191.48 [6983]~P112(x69832)+E(x69831,f191(f916(x69832,a903)))+E(x69833,f191(f916(x69832,a903)))+~P1(f329(f62(x69832),x69831))+~P1(f329(f62(x69832),x69833))+E(f14(x69832,f329(f329(f115(f916(x69832,a903)),x69833),x69831)),f329(f329(f238(x69832),f14(x69832,x69833)),f14(x69832,x69831)))
% 191.26/191.48 [6984]~P112(x69842)+E(x69841,f191(f916(x69842,a903)))+E(x69843,f191(f916(x69842,a903)))+~P1(f329(f62(x69842),x69841))+~P1(f329(f62(x69842),x69843))+E(f15(x69842,f329(f329(f115(f916(x69842,a903)),x69843),x69841)),f329(f329(f239(x69842),f15(x69842,x69843)),f15(x69842,x69841)))
% 191.26/191.48 [7632]~P99(x76322)+E(x76321,f191(f916(x76322,a903)))+E(x76323,f191(f916(x76322,a903)))+~P1(f329(f62(x76322),x76321))+~P1(f329(f62(x76322),x76323))+E(f329(f329(f83(x76322),f329(f64(x76322,f83(x76322)),x76323)),f329(f64(x76322,f83(x76322)),x76321)),f329(f64(x76322,f83(x76322)),f329(f329(f115(f916(x76322,a903)),x76323),x76321)))
% 191.26/191.48 [7789]~P112(x77892)+E(x77891,f191(f916(x77892,a903)))+E(x77893,f191(f916(x77892,a903)))+~P1(f329(f62(x77892),x77891))+~P1(f329(f62(x77892),x77893))+E(f329(f329(f238(x77892),f11(x77892,f238(x77892),x77893)),f11(x77892,f238(x77892),x77891)),f11(x77892,f238(x77892),f329(f329(f115(f916(x77892,a903)),x77893),x77891)))
% 191.26/191.48 [7790]~P112(x77902)+E(x77901,f191(f916(x77902,a903)))+E(x77903,f191(f916(x77902,a903)))+~P1(f329(f62(x77902),x77901))+~P1(f329(f62(x77902),x77903))+E(f329(f329(f239(x77902),f12(x77902,f239(x77902),x77903)),f12(x77902,f239(x77902),x77901)),f12(x77902,f239(x77902),f329(f329(f115(f916(x77902,a903)),x77903),x77901)))
% 191.26/191.48 [8842]~P1(f329(x88421,x88423))+P1(f329(x88421,f433(x88421,x88422)))+P1(f329(x88421,f430(x88421,x88422)))+~P1(f329(f329(f241(a1),f2(a1)),x88422))+~P1(f329(f329(f331(a1),x88423),f305(a1,f80(a1),x88422)))+P1(f329(x88421,f329(f329(f23(a1),f430(x88421,x88422)),f329(f329(f83(a1),f432(x88421,x88422)),x88422))))
% 191.26/191.48 [9141]~P1(f329(x91411,x91413))+~P1(f329(x91411,f430(x91411,x91412)))+P1(f329(x91411,f433(x91411,x91412)))+~P1(f329(f329(f241(a1),f2(a1)),x91412))+~P1(f329(f329(f331(a1),x91413),f305(a1,f80(a1),x91412)))+~P1(f329(x91411,f329(f329(f23(a1),f430(x91411,x91412)),f329(f329(f83(a1),f432(x91411,x91412)),x91412))))
% 191.26/191.48 [10370]~P101(x103702)+E(x103701,f191(f916(x103702,a903)))+E(x103703,f191(f916(x103702,a903)))+~P1(f329(f62(x103702),x103701))+~P1(f329(f62(x103702),x103703))+E(f10(x103702,f329(f267(x103702),f329(f329(f8(f916(x103702,a903),a903,x103702),f89(x103702)),f329(f329(f8(f916(x103702,f916(x103702,a903)),f916(x103702,a903),x103702),f329(f8(f916(x103702,a903),a903,x103702),f89(x103702))),f329(f329(f7(x103702,f916(x103702,f916(x103702,a903)),f916(x103702,f916(x103702,a903))),f329(f329(f8(f916(x103702,f916(f916(x103702,a903),f916(x103702,a903))),f916(f916(x103702,f916(x103702,a903)),f916(x103702,f916(x103702,a903))),x103702),f18(x103702,f916(x103702,a903),f916(x103702,a903))),f329(f329(f8(f916(x103702,f916(x103702,f916(a903,a903))),f916(x103702,f916(f916(x103702,a903),f916(x103702,a903))),x103702),f329(f8(f916(x103702,f916(a903,a903)),f916(f916(x103702,a903),f916(x103702,a903)),x103702),f18(x103702,a903,a903))),f329(f329(f8(f916(x103702,f916(x103702,a903)),f916(x103702,f916(x103702,f916(a903,a903))),x103702),f329(f8(f916(x103702,a903),f916(x103702,f916(a903,a903)),x103702),f329(f8(a903,f916(a903,a903),x103702),a327))),f329(f329(f7(x103702,f916(x103702,f916(x103702,x103702)),f916(x103702,f916(x103702,a903))),f329(f329(f8(f916(f916(x103702,x103702),f916(x103702,a903)),f916(f916(x103702,f916(x103702,x103702)),f916(x103702,f916(x103702,a903))),x103702),f8(f916(x103702,x103702),f916(x103702,a903),x103702)),f329(f329(f8(f916(x103702,a903),f916(f916(x103702,x103702),f916(x103702,a903)),x103702),f8(x103702,a903,x103702)),a326))),f115(x103702)))))),f329(f329(f7(x103702,f916(x103702,a903),f916(x103702,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x103702,a903),f916(x103702,a903)),x103702),f8(a903,a903,x103702)),f329(f329(f8(a903,f916(a903,a903),x103702),a327),f329(f329(f7(x103702,f916(x103702,a903),a903),f331(x103702)),x103703)))),f329(f329(f7(x103702,f916(x103702,a903),a903),f331(x103702)),x103701))))))),f329(f329(f115(x103702),f10(x103702,x103703)),f10(x103702,x103701)))
% 191.26/191.48 [10371]~P101(x103712)+E(x103711,f191(f916(x103712,a903)))+E(x103713,f191(f916(x103712,a903)))+~P1(f329(f62(x103712),x103711))+~P1(f329(f62(x103712),x103713))+E(f13(x103712,f329(f267(x103712),f329(f329(f8(f916(x103712,a903),a903,x103712),f89(x103712)),f329(f329(f8(f916(x103712,f916(x103712,a903)),f916(x103712,a903),x103712),f329(f8(f916(x103712,a903),a903,x103712),f89(x103712))),f329(f329(f7(x103712,f916(x103712,f916(x103712,a903)),f916(x103712,f916(x103712,a903))),f329(f329(f8(f916(x103712,f916(f916(x103712,a903),f916(x103712,a903))),f916(f916(x103712,f916(x103712,a903)),f916(x103712,f916(x103712,a903))),x103712),f18(x103712,f916(x103712,a903),f916(x103712,a903))),f329(f329(f8(f916(x103712,f916(x103712,f916(a903,a903))),f916(x103712,f916(f916(x103712,a903),f916(x103712,a903))),x103712),f329(f8(f916(x103712,f916(a903,a903)),f916(f916(x103712,a903),f916(x103712,a903)),x103712),f18(x103712,a903,a903))),f329(f329(f8(f916(x103712,f916(x103712,a903)),f916(x103712,f916(x103712,f916(a903,a903))),x103712),f329(f8(f916(x103712,a903),f916(x103712,f916(a903,a903)),x103712),f329(f8(a903,f916(a903,a903),x103712),a327))),f329(f329(f7(x103712,f916(x103712,f916(x103712,x103712)),f916(x103712,f916(x103712,a903))),f329(f329(f8(f916(f916(x103712,x103712),f916(x103712,a903)),f916(f916(x103712,f916(x103712,x103712)),f916(x103712,f916(x103712,a903))),x103712),f8(f916(x103712,x103712),f916(x103712,a903),x103712)),f329(f329(f8(f916(x103712,a903),f916(f916(x103712,x103712),f916(x103712,a903)),x103712),f8(x103712,a903,x103712)),a326))),f106(x103712)))))),f329(f329(f7(x103712,f916(x103712,a903),f916(x103712,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x103712,a903),f916(x103712,a903)),x103712),f8(a903,a903,x103712)),f329(f329(f8(a903,f916(a903,a903),x103712),a327),f329(f329(f7(x103712,f916(x103712,a903),a903),f331(x103712)),x103713)))),f329(f329(f7(x103712,f916(x103712,a903),a903),f331(x103712)),x103711))))))),f329(f329(f106(x103712),f13(x103712,x103713)),f13(x103712,x103711)))
% 191.26/191.48 [10372]~P112(x103722)+E(x103721,f191(f916(x103722,a903)))+E(x103723,f191(f916(x103722,a903)))+~P1(f329(f62(x103722),x103721))+~P1(f329(f62(x103722),x103723))+E(f12(x103722,f239(x103722),f329(f267(x103722),f329(f329(f8(f916(x103722,a903),a903,x103722),f89(x103722)),f329(f329(f8(f916(x103722,f916(x103722,a903)),f916(x103722,a903),x103722),f329(f8(f916(x103722,a903),a903,x103722),f89(x103722))),f329(f329(f7(x103722,f916(x103722,f916(x103722,a903)),f916(x103722,f916(x103722,a903))),f329(f329(f8(f916(x103722,f916(f916(x103722,a903),f916(x103722,a903))),f916(f916(x103722,f916(x103722,a903)),f916(x103722,f916(x103722,a903))),x103722),f18(x103722,f916(x103722,a903),f916(x103722,a903))),f329(f329(f8(f916(x103722,f916(x103722,f916(a903,a903))),f916(x103722,f916(f916(x103722,a903),f916(x103722,a903))),x103722),f329(f8(f916(x103722,f916(a903,a903)),f916(f916(x103722,a903),f916(x103722,a903)),x103722),f18(x103722,a903,a903))),f329(f329(f8(f916(x103722,f916(x103722,a903)),f916(x103722,f916(x103722,f916(a903,a903))),x103722),f329(f8(f916(x103722,a903),f916(x103722,f916(a903,a903)),x103722),f329(f8(a903,f916(a903,a903),x103722),a327))),f329(f329(f7(x103722,f916(x103722,f916(x103722,x103722)),f916(x103722,f916(x103722,a903))),f329(f329(f8(f916(f916(x103722,x103722),f916(x103722,a903)),f916(f916(x103722,f916(x103722,x103722)),f916(x103722,f916(x103722,a903))),x103722),f8(f916(x103722,x103722),f916(x103722,a903),x103722)),f329(f329(f8(f916(x103722,a903),f916(f916(x103722,x103722),f916(x103722,a903)),x103722),f8(x103722,a903,x103722)),a326))),f238(x103722)))))),f329(f329(f7(x103722,f916(x103722,a903),f916(x103722,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x103722,a903),f916(x103722,a903)),x103722),f8(a903,a903,x103722)),f329(f329(f8(a903,f916(a903,a903),x103722),a327),f329(f329(f7(x103722,f916(x103722,a903),a903),f331(x103722)),x103723)))),f329(f329(f7(x103722,f916(x103722,a903),a903),f331(x103722)),x103721))))))),f329(f329(f238(x103722),f12(x103722,f239(x103722),x103723)),f12(x103722,f239(x103722),x103721)))
% 191.26/191.48 [10373]~P112(x103732)+E(x103731,f191(f916(x103732,a903)))+E(x103733,f191(f916(x103732,a903)))+~P1(f329(f62(x103732),x103731))+~P1(f329(f62(x103732),x103733))+E(f11(x103732,f238(x103732),f329(f267(x103732),f329(f329(f8(f916(x103732,a903),a903,x103732),f89(x103732)),f329(f329(f8(f916(x103732,f916(x103732,a903)),f916(x103732,a903),x103732),f329(f8(f916(x103732,a903),a903,x103732),f89(x103732))),f329(f329(f7(x103732,f916(x103732,f916(x103732,a903)),f916(x103732,f916(x103732,a903))),f329(f329(f8(f916(x103732,f916(f916(x103732,a903),f916(x103732,a903))),f916(f916(x103732,f916(x103732,a903)),f916(x103732,f916(x103732,a903))),x103732),f18(x103732,f916(x103732,a903),f916(x103732,a903))),f329(f329(f8(f916(x103732,f916(x103732,f916(a903,a903))),f916(x103732,f916(f916(x103732,a903),f916(x103732,a903))),x103732),f329(f8(f916(x103732,f916(a903,a903)),f916(f916(x103732,a903),f916(x103732,a903)),x103732),f18(x103732,a903,a903))),f329(f329(f8(f916(x103732,f916(x103732,a903)),f916(x103732,f916(x103732,f916(a903,a903))),x103732),f329(f8(f916(x103732,a903),f916(x103732,f916(a903,a903)),x103732),f329(f8(a903,f916(a903,a903),x103732),a327))),f329(f329(f7(x103732,f916(x103732,f916(x103732,x103732)),f916(x103732,f916(x103732,a903))),f329(f329(f8(f916(f916(x103732,x103732),f916(x103732,a903)),f916(f916(x103732,f916(x103732,x103732)),f916(x103732,f916(x103732,a903))),x103732),f8(f916(x103732,x103732),f916(x103732,a903),x103732)),f329(f329(f8(f916(x103732,a903),f916(f916(x103732,x103732),f916(x103732,a903)),x103732),f8(x103732,a903,x103732)),a326))),f239(x103732)))))),f329(f329(f7(x103732,f916(x103732,a903),f916(x103732,a903)),f329(f329(f8(f916(a903,a903),f916(f916(x103732,a903),f916(x103732,a903)),x103732),f8(a903,a903,x103732)),f329(f329(f8(a903,f916(a903,a903),x103732),a327),f329(f329(f7(x103732,f916(x103732,a903),a903),f331(x103732)),x103733)))),f329(f329(f7(x103732,f916(x103732,a903),a903),f331(x103732)),x103731))))))),f329(f329(f239(x103732),f11(x103732,f238(x103732),x103733)),f11(x103732,f238(x103732),x103731)))
% 191.26/191.48 [7307]~P127(x73073)+E(x73071,x73072)+~E(f329(f329(f249(x73073),x73071),x73074),f329(f329(f249(x73073),x73072),x73074))+~P1(f329(f329(f240(x73073),f2(x73073)),x73072))+~P1(f329(f329(f240(x73073),f2(x73073)),x73071))+~P1(f329(f329(f241(a908),f2(a908)),x73074))
% 191.26/191.48 [9289]~P1(f329(x92892,x92893))+~P1(f329(x92891,x92894))+E(f244(a908,x92891),f329(a117,f244(a908,x92892)))+P1(f329(x92892,f627(x92893,x92892,x92894,x92891)))+P1(f329(x92891,f2(a908)))+P1(f329(x92891,f329(a117,f627(x92893,x92892,x92894,x92891))))
% 191.26/191.48 [9541]~P1(f329(x95412,x95413))+~P1(f329(x95411,x95414))+E(f244(a908,x95411),f329(a117,f244(a908,x95412)))+~P1(f329(x95412,f627(x95413,x95412,x95414,x95411)))+P1(f329(x95411,f2(a908)))+~P1(f329(x95411,f329(a117,f627(x95413,x95412,x95414,x95411))))
% 191.26/191.48 [7592]~P112(x75922)+E(x75921,f191(f916(x75922,a903)))+~P1(f329(f62(x75922),x75921))+~P1(f329(f329(f331(x75922),x75924),x75921))+P1(f329(f329(f240(x75922),x75923),x75924))+~P1(f329(f329(f240(x75922),x75923),f329(f64(x75922,f238(x75922)),x75921)))
% 191.26/191.48 [7593]~P104(x75932)+E(x75931,f191(f916(x75932,a903)))+~P1(f329(f62(x75932),x75931))+~P1(f329(f329(f331(x75932),x75934),x75931))+P1(f329(f329(f240(x75932),x75933),x75934))+~P1(f329(f329(f240(x75932),x75933),f329(f64(x75932,f106(x75932)),x75931)))
% 191.26/191.48 [7594]~P112(x75942)+E(x75941,f191(f916(x75942,a903)))+~P1(f329(f62(x75942),x75941))+~P1(f329(f329(f331(x75942),x75944),x75941))+P1(f329(f329(f241(x75942),x75943),x75944))+~P1(f329(f329(f241(x75942),x75943),f329(f64(x75942,f238(x75942)),x75941)))
% 191.26/191.48 [7492]E(x74921,f2(a1))+E(f329(f329(f37(a1),x74922),x74921),x74923)+~P1(f329(f329(f240(a1),x74924),f2(a1)))+~E(x74922,f329(f329(f82(a1),f329(f329(f83(a1),x74921),x74923)),x74924))+P1(f329(f329(f241(a1),f2(a1)),x74921))+~P1(f329(f329(f241(a1),x74921),x74924))
% 191.26/191.48 [7507]E(f46(a1,x75072,x75071),x75073)+E(x75071,f2(a1))+~P1(f329(f329(f240(a1),x75073),f2(a1)))+~E(x75072,f329(f329(f82(a1),f329(f329(f83(a1),x75071),x75074)),x75073))+P1(f329(f329(f241(a1),f2(a1)),x75071))+~P1(f329(f329(f241(a1),x75071),x75073))
% 191.26/191.48 [7631]E(x76311,f2(a1))+E(f329(f329(f37(a1),x76312),x76311),x76313)+~E(x76312,f329(f329(f82(a1),f329(f329(f83(a1),x76311),x76313)),x76314))+~P1(f329(f329(f240(a1),f2(a1)),x76314))+~P1(f329(f329(f241(a1),f2(a1)),x76311))+~P1(f329(f329(f241(a1),x76314),x76311))
% 191.26/191.48 [7651]E(f46(a1,x76512,x76511),x76513)+E(x76511,f2(a1))+~E(x76512,f329(f329(f82(a1),f329(f329(f83(a1),x76511),x76514)),x76513))+~P1(f329(f329(f240(a1),f2(a1)),x76513))+~P1(f329(f329(f241(a1),f2(a1)),x76511))+~P1(f329(f329(f241(a1),x76513),x76511))
% 191.26/191.48 [7793]~P112(x77932)+E(x77931,f191(f916(x77932,a903)))+~P1(f329(f62(x77932),x77931))+~P1(f329(f329(f240(x77932),x77934),x77933))+~P1(f329(f329(f331(x77932),x77934),x77931))+P1(f329(f329(f240(x77932),f329(f64(x77932,f238(x77932)),x77931)),x77933))
% 191.26/191.48 [7794]~P112(x77942)+E(x77941,f191(f916(x77942,a903)))+~P1(f329(f62(x77942),x77941))+~P1(f329(f329(f241(x77942),x77944),x77943))+~P1(f329(f329(f331(x77942),x77944),x77941))+P1(f329(f329(f241(x77942),f329(f64(x77942,f238(x77942)),x77941)),x77943))
% 191.26/191.48 [8375]~P1(f329(f329(f240(a1),x83754),f2(a1)))+~E(x83751,f329(f329(f82(a1),f329(f329(f83(a1),x83752),x83753)),x83754))+~P1(f329(f329(f240(a1),f2(a1)),x83754))+~P1(f329(f329(f241(a1),x83754),x83752))+~P1(f329(f329(f241(a1),x83752),x83754))+P1(f329(f50(x83751,x83752),f329(f329(f257(a1,a1),x83753),x83754)))
% 191.26/191.48 [8545]~P114(x85451)+P1(f329(f329(f241(f916(x85451,a903)),f305(x85451,x85452,x85453)),f305(x85451,x85454,x85455)))+~P1(f329(f329(f240(x85451),x85454),x85452))+~P1(f329(f329(f240(x85451),x85454),x85455))+~P1(f329(f329(f240(x85451),x85453),x85455))+~P1(f329(f329(f241(x85451),x85453),x85455))
% 191.26/191.48 [8546]~P114(x85461)+P1(f329(f329(f241(f916(x85461,a903)),f305(x85461,x85462,x85463)),f305(x85461,x85464,x85465)))+~P1(f329(f329(f240(x85461),x85463),x85465))+~P1(f329(f329(f240(x85461),x85464),x85465))+~P1(f329(f329(f240(x85461),x85464),x85462))+~P1(f329(f329(f241(x85461),x85464),x85462))
% 191.26/191.48 [9408]P66(x94082,x94083,x94084,x94081)+E(x94081,f191(f916(x94082,a903)))+~P1(f329(f62(x94082),x94084))+~P1(f329(f62(x94082),x94081))+~P1(f329(f329(x94083,f496(x94081,x94084,x94083,x94082)),x94085))+~P1(f329(f329(f331(x94082),x94085),x94081))
% 191.26/191.48 [9409]P66(x94092,x94093,x94094,x94091)+E(x94091,f191(f916(x94092,a903)))+~P1(f329(f62(x94092),x94094))+~P1(f329(f62(x94092),x94091))+~P1(f329(f329(x94093,f823(x94093,x94091,x94094,x94092)),x94095))+~P1(f329(f329(f331(x94092),x94095),x94091))
% 191.26/191.48 [9410]P66(x94102,x94103,x94104,x94101)+E(x94101,f191(f916(x94102,a903)))+~P1(f329(f62(x94102),x94104))+~P1(f329(f62(x94102),x94101))+~P1(f329(f329(x94103,f824(x94101,x94104,x94103,x94102)),x94105))+~P1(f329(f329(f331(x94102),x94105),x94101))
% 191.26/191.48 [9557]~E(x95573,x95575)+~P5(x95571)+~P80(x95571)+~P47(x95573)+E(f329(f329(f9(a1,x95571),x95572),x95573),f329(f329(f9(a1,x95571),x95574),x95575))+P1(f329(f329(f240(a1),f2(a1)),f463(x95572,x95574,x95573,x95575,x95571)))
% 191.26/191.48 [9558]~E(x95583,x95585)+~P5(x95581)+~P80(x95581)+~P47(x95583)+E(f329(f329(f6(a1,x95581),x95582),x95583),f329(f329(f6(a1,x95581),x95584),x95585))+P1(f329(f329(f240(a1),f2(a1)),f487(x95582,x95584,x95583,x95585,x95581)))
% 191.26/191.48 [9731]~E(x97315,x97313)+~P5(x97311)+~P80(x97311)+~P47(x97315)+~E(f329(x97312,f463(x97314,x97312,x97315,x97313,x97311)),f329(x97314,f463(x97314,x97312,x97315,x97313,x97311)))+E(f329(f329(f9(a1,x97311),x97312),x97313),f329(f329(f9(a1,x97311),x97314),x97315))
% 191.26/191.48 [9732]~E(x97325,x97323)+~P5(x97321)+~P80(x97321)+~P47(x97325)+~E(f329(x97322,f487(x97324,x97322,x97325,x97323,x97321)),f329(x97324,f487(x97324,x97322,x97325,x97323,x97321)))+E(f329(f329(f6(a1,x97321),x97322),x97323),f329(f329(f6(a1,x97321),x97324),x97325))
% 191.26/191.48 [9821]~P86(x98213)+E(f329(x98211,x98212),f2(x98213))+~E(f329(f329(f6(x98214,x98213),x98211),x98215),f2(x98213))+~P1(f329(f62(x98214),x98215))+P1(f329(f329(f331(x98214),f453(x98212,x98211,x98215,x98214,x98213)),x98215))+~P1(f329(f329(f331(x98214),x98212),x98215))
% 191.26/191.48 [9951]~P86(x99513)+E(f329(x99511,x99512),f2(x99513))+~E(f329(f329(f6(x99514,x99513),x99511),x99515),f2(x99513))+~P1(f329(f62(x99514),x99515))+~P1(f329(f329(f331(x99514),x99512),x99515))+~P1(f329(f329(f240(x99513),f2(x99513)),f329(x99511,f453(x99512,x99511,x99515,x99514,x99513))))
% 191.26/191.48 [8462]~P140(x84621)+~P1(f329(f329(f240(x84621),x84623),x84625))+~P1(f329(f329(f240(x84621),x84622),x84624))+~P1(f329(f329(f240(x84621),f2(x84621)),x84623))+~P1(f329(f329(f240(x84621),f2(x84621)),x84624))+P1(f329(f329(f240(x84621),f329(f329(f83(x84621),x84622),x84623)),f329(f329(f83(x84621),x84624),x84625)))
% 191.26/191.48 [8463]~P140(x84631)+~P1(f329(f329(f240(x84631),x84633),x84635))+~P1(f329(f329(f240(x84631),x84632),x84634))+~P1(f329(f329(f240(x84631),f2(x84631)),x84633))+~P1(f329(f329(f240(x84631),f2(x84631)),x84632))+P1(f329(f329(f240(x84631),f329(f329(f83(x84631),x84632),x84633)),f329(f329(f83(x84631),x84634),x84635)))
% 191.26/191.48 [8464]~P74(x84641)+~P1(f329(f329(f241(x84641),f2(x84641)),x84645))+~P1(f329(f329(f240(x84641),x84645),x84643))+~P1(f329(f329(f240(x84641),x84642),x84644))+~P1(f329(f329(f240(x84641),f2(x84641)),x84642))+P1(f329(f329(f240(x84641),f329(f329(f292(x84641),x84642),x84643)),f329(f329(f292(x84641),x84644),x84645)))
% 191.26/191.48 [8465]~P133(x84651)+~P1(f329(f329(f240(x84651),x84653),x84655))+~P1(f329(f329(f240(x84651),f2(x84651)),x84652))+~P1(f329(f329(f241(x84651),x84652),x84654))+~P1(f329(f329(f241(x84651),f2(x84651)),x84653))+P1(f329(f329(f241(x84651),f329(f329(f83(x84651),x84652),x84653)),f329(f329(f83(x84651),x84654),x84655)))
% 191.26/191.48 [8466]~P133(x84661)+~P1(f329(f329(f240(x84661),x84662),x84664))+~P1(f329(f329(f240(x84661),f2(x84661)),x84663))+~P1(f329(f329(f241(x84661),x84663),x84665))+~P1(f329(f329(f241(x84661),f2(x84661)),x84662))+P1(f329(f329(f241(x84661),f329(f329(f83(x84661),x84662),x84663)),f329(f329(f83(x84661),x84664),x84665)))
% 191.26/191.48 [8467]~P133(x84671)+~P1(f329(f329(f240(x84671),f2(x84671)),x84673))+~P1(f329(f329(f240(x84671),f2(x84671)),x84672))+~P1(f329(f329(f241(x84671),x84673),x84675))+~P1(f329(f329(f241(x84671),x84672),x84674))+P1(f329(f329(f241(x84671),f329(f329(f83(x84671),x84672),x84673)),f329(f329(f83(x84671),x84674),x84675)))
% 191.26/191.48 [8468]~P133(x84681)+~P1(f329(f329(f240(x84681),f2(x84681)),x84683))+~P1(f329(f329(f241(x84681),x84683),x84685))+~P1(f329(f329(f241(x84681),x84682),x84684))+~P1(f329(f329(f241(x84681),f2(x84681)),x84684))+P1(f329(f329(f241(x84681),f329(f329(f83(x84681),x84682),x84683)),f329(f329(f83(x84681),x84684),x84685)))
% 191.26/191.48 [8469]~P74(x84691)+~P1(f329(f329(f240(x84691),x84695),x84693))+~P1(f329(f329(f240(x84691),f2(x84691)),x84692))+~P1(f329(f329(f241(x84691),x84692),x84694))+~P1(f329(f329(f241(x84691),f2(x84691)),x84695))+P1(f329(f329(f241(x84691),f329(f329(f292(x84691),x84692),x84693)),f329(f329(f292(x84691),x84694),x84695)))
% 191.26/191.48 [8470]~P74(x84701)+~P1(f329(f329(f240(x84701),x84702),x84704))+~P1(f329(f329(f241(x84701),x84705),x84703))+~P1(f329(f329(f241(x84701),f2(x84701)),x84705))+~P1(f329(f329(f241(x84701),f2(x84701)),x84702))+P1(f329(f329(f241(x84701),f329(f329(f292(x84701),x84702),x84703)),f329(f329(f292(x84701),x84704),x84705)))
% 191.26/191.48 [9863]~P5(x98635)+~P91(x98635)+E(x98631,f191(f916(x98632,a903)))+~P1(f329(f62(x98632),x98631))+P1(f329(f329(f331(x98632),f459(x98633,x98634,x98631,x98632,x98635)),x98631))+P1(f329(f329(f241(x98635),f329(f329(f6(x98632,x98635),x98634),x98631)),f329(f329(f6(x98632,x98635),x98633),x98631)))
% 191.26/191.48 [9974]~P5(x99741)+~P85(x99741)+~P1(f329(f62(x99742),x99745))+~P1(f329(f329(f240(x99741),f2(x99741)),f329(x99743,f454(x99743,x99744,x99745,x99742,x99741))))+P1(f329(f329(f240(x99741),f329(f329(f6(x99742,x99741),x99743),x99744)),f329(f329(f6(x99742,x99741),x99743),x99745)))+~P1(f329(f329(f240(f916(x99742,a903)),x99744),x99745))
% 191.26/191.48 [10132]~P5(x101323)+~P91(x101323)+E(x101321,f191(f916(x101322,a903)))+~P1(f329(f62(x101322),x101321))+~P1(f329(f329(f241(x101323),f329(x101324,f459(x101325,x101324,x101321,x101322,x101323))),f329(x101325,f459(x101325,x101324,x101321,x101322,x101323))))+P1(f329(f329(f241(x101323),f329(f329(f6(x101322,x101323),x101324),x101321)),f329(f329(f6(x101322,x101323),x101325),x101321)))
% 191.26/191.48 [7163]~P22(x71632,x71635,x71634)+E(x71631,f191(f916(x71632,a903)))+E(x71633,f191(f916(x71632,a903)))+~P1(f329(f62(x71632),x71631))+~P1(f329(f62(x71632),x71633))+E(f329(x71634,f329(f329(f115(f916(x71632,a903)),x71633),x71631)),f329(f329(x71635,f329(x71634,x71633)),f329(x71634,x71631)))
% 191.26/191.48 [7760]~P149(x77601,x77603,x77604)+P1(f329(x77601,x77602))+~P1(f329(f329(f241(a1),x77604),f2(a1)))+~P1(f329(f329(f240(a1),x77605),f2(a1)))+~E(x77603,f329(f329(f82(a1),f329(f329(f83(a1),x77604),x77602)),x77605))+~P1(f329(f329(f241(a1),x77604),x77605))
% 191.26/191.48 [7761]~P148(x77611,x77613,x77614)+P1(f329(x77611,x77612))+~P1(f329(f329(f241(a1),x77614),f2(a1)))+~P1(f329(f329(f240(a1),x77612),f2(a1)))+~E(x77613,f329(f329(f82(a1),f329(f329(f83(a1),x77614),x77615)),x77612))+~P1(f329(f329(f241(a1),x77614),x77612))
% 191.26/191.48 [7803]~P149(x78031,x78033,x78034)+P1(f329(x78031,x78032))+~E(x78033,f329(f329(f82(a1),f329(f329(f83(a1),x78034),x78032)),x78035))+~P1(f329(f329(f240(a1),f2(a1)),x78035))+~P1(f329(f329(f241(a1),f2(a1)),x78034))+~P1(f329(f329(f241(a1),x78035),x78034))
% 191.26/191.48 [7804]~P148(x78041,x78043,x78044)+P1(f329(x78041,x78042))+~E(x78043,f329(f329(f82(a1),f329(f329(f83(a1),x78044),x78045)),x78042))+~P1(f329(f329(f240(a1),f2(a1)),x78042))+~P1(f329(f329(f241(a1),f2(a1)),x78044))+~P1(f329(f329(f241(a1),x78042),x78044))
% 191.26/191.48 [8763]P1(f329(f329(x87631,x87632),x87633))+~P1(f329(f329(x87631,f329(f329(f37(a1),x87634),x87635)),f46(a1,x87634,x87635)))+~P1(f329(f329(f241(a1),x87635),f2(a1)))+~P1(f329(f329(f240(a1),x87633),f2(a1)))+~E(x87634,f329(f329(f82(a1),f329(f329(f83(a1),x87635),x87632)),x87633))+~P1(f329(f329(f241(a1),x87635),x87633))
% 191.26/191.48 [8771]P1(f329(f329(x87711,x87712),x87713))+~P1(f329(f329(x87711,f329(f329(f37(a1),x87714),x87715)),f46(a1,x87714,x87715)))+~E(x87714,f329(f329(f82(a1),f329(f329(f83(a1),x87715),x87712)),x87713))+~P1(f329(f329(f240(a1),f2(a1)),x87713))+~P1(f329(f329(f241(a1),f2(a1)),x87715))+~P1(f329(f329(f241(a1),x87713),x87715))
% 191.26/191.48 [9017]E(x90171,x90172)+~P63(x90173,x90175,x90174)+~P1(f329(f329(f331(x90173),x90172),x90175))+~P1(f329(f329(f331(x90173),x90171),x90175))+P1(f329(f329(f331(f915(x90173,x90173)),f329(f329(f257(x90173,x90173),x90171),x90172)),x90174))+P1(f329(f329(f331(f915(x90173,x90173)),f329(f329(f257(x90173,x90173),x90172),x90171)),x90174))
% 191.26/191.48 [9840]~P114(x98401)+~P114(x98402)+~P46(x98402,x98401,x98403)+~P1(f329(f329(f240(x98402),x98405),f736(x98404,x98403,x98402,x98401,x98405)))+E(f244(x98401,f329(f329(f7(x98401,f916(x98401,a903),a903),f331(x98401)),f329(f312(x98402,x98401,x98403),x98404))),f329(x98403,f244(x98402,f329(f329(f7(x98402,f916(x98402,a903),a903),f331(x98402)),x98404))))+~P1(f329(f329(f331(x98402),x98405),x98404))
% 191.26/191.48 [9891]~P5(x98915)+~P85(x98915)+~P1(f329(f62(x98911),x98914))+P1(f329(f329(f240(x98915),f329(f329(f6(x98911,x98915),x98912),x98913)),f329(f329(f6(x98911,x98915),x98912),x98914)))+~P1(f329(f329(f240(f916(x98911,a903)),x98913),x98914))+P1(f329(f329(f331(x98911),f454(x98912,x98913,x98914,x98911,x98915)),f329(f329(f23(f916(x98911,a903)),x98914),x98913)))
% 191.26/191.48 [9907]~P114(x99071)+~P114(x99072)+~P46(x99072,x99071,x99073)+E(f244(x99071,f329(f329(f7(x99071,f916(x99071,a903),a903),f331(x99071)),f329(f312(x99072,x99071,x99073),x99074))),f329(x99073,f244(x99072,f329(f329(f7(x99072,f916(x99072,a903),a903),f331(x99072)),x99074))))+~P1(f329(f329(f331(x99072),x99075),x99074))+P1(f329(f329(f331(x99072),f736(x99074,x99073,x99072,x99071,x99075)),x99074))
% 191.26/191.48 [9982]E(x99821,f191(f916(x99822,a903)))+~P1(f329(f62(x99822),x99823))+~P1(f329(f62(x99822),x99821))+P1(f329(f329(f331(f915(f916(x99822,a903),f916(x99822,a903))),f329(f329(f257(f916(x99822,a903),f916(x99822,a903)),x99823),x99821)),f320(x99822,x99824)))+~P1(f329(f329(f331(x99822),x99825),x99821))+~P1(f329(f329(f331(f915(x99822,x99822)),f329(f329(f257(x99822,x99822),f499(x99824,x99821,x99823,x99822)),x99825)),x99824))
% 191.26/191.48 [9983]E(x99831,f191(f916(x99832,a903)))+~P1(f329(f62(x99832),x99833))+~P1(f329(f62(x99832),x99831))+P1(f329(f329(f331(f915(f916(x99832,a903),f916(x99832,a903))),f329(f329(f257(f916(x99832,a903),f916(x99832,a903)),x99833),x99831)),f320(x99832,x99834)))+~P1(f329(f329(f331(x99832),x99835),x99831))+~P1(f329(f329(f331(f915(x99832,x99832)),f329(f329(f257(x99832,x99832),f587(x99834,x99831,x99833,x99832)),x99835)),x99834))
% 191.26/191.48 [10136]~P86(x101361)+~E(f329(f329(f6(x101365,x101361),x101362),x101366),x101364)+~P1(f329(f62(x101365),x101366))+P1(f329(f329(f331(x101365),f457(x101363,x101364,x101362,x101366,x101365,x101361)),x101366))+P1(f329(f329(f240(x101361),f329(x101362,x101363)),x101364))+~P1(f329(f329(f331(x101365),x101363),x101366))
% 191.26/191.48 [10181]~P86(x101811)+~E(f329(f329(f6(x101815,x101811),x101812),x101816),x101814)+~P1(f329(f62(x101815),x101816))+~P1(f329(f329(f331(x101815),x101813),x101816))+~P1(f329(f329(f240(x101811),f2(x101811)),f329(x101812,f457(x101813,x101814,x101812,x101816,x101815,x101811))))+P1(f329(f329(f240(x101811),f329(x101812,x101813)),x101814))
% 191.26/191.48 [10316]~E(x103165,x103168)+~E(x103164,x103167)+~P5(x103162)+~P113(x103161)+E(f329(f329(f6(x103161,x103162),x103163),f329(f304(x103161,x103164),x103165)),f329(f329(f6(x103161,x103162),x103166),f329(f304(x103161,x103167),x103168)))+P1(f329(f329(f240(x103161),x103164),f595(x103163,x103166,x103165,x103168,x103164,x103167,x103161,x103162)))
% 191.26/191.48 [10333]~E(x103337,x103334)+~E(x103338,x103335)+~P5(x103332)+~P113(x103331)+~E(f329(x103333,f595(x103336,x103333,x103338,x103335,x103337,x103334,x103331,x103332)),f329(x103336,f595(x103336,x103333,x103338,x103335,x103337,x103334,x103331,x103332)))+E(f329(f329(f6(x103331,x103332),x103333),f329(f304(x103331,x103334),x103335)),f329(f329(f6(x103331,x103332),x103336),f329(f304(x103331,x103337),x103338)))
% 191.26/191.48 [10339]~E(x103394,x103397)+~E(x103395,x103398)+~P5(x103392)+~P113(x103391)+E(f329(f329(f6(x103391,x103392),x103393),f329(f304(x103391,x103394),x103395)),f329(f329(f6(x103391,x103392),x103396),f329(f304(x103391,x103397),x103398)))+P1(f329(f329(f241(x103391),f595(x103393,x103396,x103395,x103398,x103394,x103397,x103391,x103392)),x103395))
% 191.26/191.48 [9988]~P13(x99885,x99889,x99886)+~P13(x99881,x998810,x99883)+~P17(x99881,x99885,f916(x99882,a903),x99883,x99886,x99888)+~P1(f329(f329(f331(x99885),x99887),x99889))+~P1(f329(f329(f331(x99881),x99884),x998810))+E(f329(f329(f40(x99881,f916(x99882,a903)),f329(f288(x99881,x99881,x99883),f329(f329(f311(x99881),x99884),f191(f916(x99881,a903))))),f329(f329(f8(f916(x99885,f916(x99882,a903)),f916(x99882,a903),x99881),f329(f40(x99885,f916(x99882,a903)),f329(f288(x99885,x99885,x99886),f329(f329(f311(x99885),x99887),f191(f916(x99885,a903)))))),x99888)),f329(f329(x99888,x99884),x99887))
% 191.26/191.48 [5699]~P112(x56993)+~P18(x56993,x56992)+~P18(x56993,x56991)+E(x56991,x56992)+~E(f329(f175(x56993),x56991),f329(f175(x56993),x56992))+~P1(f329(f140(x56993),x56992))+~P1(f329(f140(x56993),x56991))
% 191.26/191.48 [5029]~P147(x50292)+~P131(x50292)+~P132(x50292)+~P118(x50292)+~E(x50293,f2(x50292))+E(x50291,f2(a908))+E(f329(f329(f249(x50292),x50293),x50291),f2(x50292))
% 191.26/191.48 [9288]E(x92881,f2(a908))+~E(x92882,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),x92883)),x92881)),f329(f261(a908,a908),x92883)))+P1(f329(f49(x92882,x92881),x92883))+~P1(f329(f329(f240(a908),f329(f261(a908,a908),x92883)),f2(a908)))+~P1(f329(f329(f240(a908),f2(a908)),f329(f261(a908,a908),x92883)))+~P1(f329(f329(f241(a908),x92881),f329(f261(a908,a908),x92883)))+~P1(f329(f329(f241(a908),f329(f261(a908,a908),x92883)),x92881))
% 191.26/191.48 [9297]~E(f329(f256(a908,a908),x92973),f2(a908))+~E(x92971,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),x92973)),x92972)),f329(f261(a908,a908),x92973)))+P1(f329(f49(x92971,x92972),x92973))+~P1(f329(f329(f240(a908),f329(f261(a908,a908),x92973)),f2(a908)))+~P1(f329(f329(f240(a908),f2(a908)),f329(f261(a908,a908),x92973)))+~P1(f329(f329(f241(a908),x92972),f329(f261(a908,a908),x92973)))+~P1(f329(f329(f241(a908),f329(f261(a908,a908),x92973)),x92972))
% 191.26/191.48 [8126]~P76(x81262)+E(x81261,f191(f916(x81262,a903)))+E(x81263,f191(f916(x81262,a903)))+~P1(f329(f62(x81262),x81261))+~P1(f329(f62(x81262),x81263))+~E(f329(f329(f106(f916(x81262,a903)),x81263),x81261),f191(f916(x81262,a903)))+E(f329(f329(f83(x81262),f329(f64(x81262,f83(x81262)),x81263)),f329(f64(x81262,f83(x81262)),x81261)),f329(f64(x81262,f83(x81262)),f329(f329(f115(f916(x81262,a903)),x81263),x81261)))
% 191.26/191.48 [7900]E(x79001,f2(a1))+E(f329(f329(f37(a1),x79002),x79001),x79003)+~P1(f329(f329(f240(a1),x79004),f2(a1)))+~E(x79002,f329(f329(f82(a1),f329(f329(f83(a1),x79001),x79003)),x79004))+~P1(f329(f329(f240(a1),f2(a1)),x79004))+~P1(f329(f329(f241(a1),x79004),x79001))+~P1(f329(f329(f241(a1),x79001),x79004))
% 191.26/191.48 [7909]E(f46(a1,x79092,x79091),x79093)+E(x79091,f2(a1))+~P1(f329(f329(f240(a1),x79093),f2(a1)))+~E(x79092,f329(f329(f82(a1),f329(f329(f83(a1),x79091),x79094)),x79093))+~P1(f329(f329(f240(a1),f2(a1)),x79093))+~P1(f329(f329(f241(a1),x79093),x79091))+~P1(f329(f329(f241(a1),x79091),x79093))
% 191.26/191.48 [7812]~P23(x78122,x78125,x78124)+E(x78121,f191(f916(x78122,a903)))+E(x78123,f191(f916(x78122,a903)))+~P1(f329(f62(x78122),x78121))+~P1(f329(f62(x78122),x78123))+~E(f329(f329(f106(f916(x78122,a903)),x78123),x78121),f191(f916(x78122,a903)))+E(f329(x78124,f329(f329(f115(f916(x78122,a903)),x78123),x78121)),f329(f329(x78125,f329(x78124,x78123)),f329(x78124,x78121)))
% 191.26/191.48 [9528]~P30(x95283,x95281,x95285,x95284)+~P30(x95281,x95283,x95286,x95282)+E(f329(f36(x95281),x95282),f329(f36(x95283),x95284))+~P1(f329(f62(x95283),x95284))+~P1(f329(f62(x95281),x95282))+~P1(f329(f329(f240(f916(x95283,a903)),f329(f312(x95281,x95283,x95286),x95282)),x95284))+~P1(f329(f329(f240(f916(x95281,a903)),f329(f312(x95283,x95281,x95285),x95284)),x95282))
% 191.26/191.48 [9474]~P1(f329(f329(f241(a1),f329(f329(f82(a1),f329(f329(f83(a1),x94745),x94741)),x94746)),f2(a1)))+~E(f329(f329(f82(a1),f329(f329(f83(a1),x94743),x94742)),x94744),f329(f329(f82(a1),f329(f329(f83(a1),x94745),x94741)),x94746))+~P1(f329(f329(f240(a1),f2(a1)),x94746))+~P1(f329(f329(f241(a1),f2(a1)),x94745))+~P1(f329(f329(f240(a1),x94745),x94743))+~P1(f329(f329(f241(a1),x94744),x94743))+P1(f329(f329(f240(a1),x94741),x94742))
% 191.26/191.48 [9231]~E(f329(f329(f82(a1),f329(f329(f83(a1),x92313),x92311)),x92314),f329(f329(f82(a1),f329(f329(f83(a1),x92315),x92312)),x92316))+~P1(f329(f329(f240(a1),f2(a1)),x92314))+~P1(f329(f329(f241(a1),f2(a1)),x92315))+~P1(f329(f329(f240(a1),x92315),x92313))+~P1(f329(f329(f241(a1),x92316),x92315))+P1(f329(f329(f240(a1),x92311),x92312))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92315),x92312)),x92316)))
% 191.26/191.48 [9414]~P135(x94141)+~E(f329(f329(f82(x94141),x94142),x94144),f80(x94141))+~P1(f329(f329(f240(x94141),x94145),x94146))+~P1(f329(f329(f240(x94141),x94143),x94146))+~P1(f329(f329(f240(x94141),f2(x94141)),x94144))+~P1(f329(f329(f240(x94141),f2(x94141)),x94142))+P1(f329(f329(f240(x94141),f329(f329(f82(x94141),f329(f329(f83(x94141),x94142),x94143)),f329(f329(f83(x94141),x94144),x94145))),x94146))
% 191.26/191.48 [9415]~P136(x94151)+~E(f329(f329(f82(x94151),x94152),x94154),f80(x94151))+~P1(f329(f329(f240(x94151),f2(x94151)),x94154))+~P1(f329(f329(f240(x94151),f2(x94151)),x94152))+~P1(f329(f329(f241(x94151),x94155),x94156))+~P1(f329(f329(f241(x94151),x94153),x94156))+P1(f329(f329(f241(x94151),f329(f329(f82(x94151),f329(f329(f83(x94151),x94152),x94153)),f329(f329(f83(x94151),x94154),x94155))),x94156))
% 191.26/191.48 [10231]~P13(x102317,x102316,x102315)+E(x102311,x102312)+~P16(x102317,f916(x102314,a903),x102315,x102313)+E(f329(x102313,f479(x102311,x102312,x102313,x102314,x102315,x102316,x102317)),f329(x102313,f480(x102311,x102312,x102313,x102314,x102315,x102316,x102317)))+~E(f329(f329(f40(x102317,f916(x102314,a903)),x102311),x102313),f329(f329(f40(x102317,f916(x102314,a903)),x102312),x102313))+~P1(f329(f329(f331(f916(x102317,a903)),x102312),f329(f329(f61(x102317),x102316),x102315)))+~P1(f329(f329(f331(f916(x102317,a903)),x102311),f329(f329(f61(x102317),x102316),x102315)))
% 191.26/191.48 [10273]~P13(x102733,x102737,x102736)+E(x102731,x102732)+~P16(x102733,f916(x102735,a903),x102736,x102734)+~E(f329(f329(f40(x102733,f916(x102735,a903)),x102731),x102734),f329(f329(f40(x102733,f916(x102735,a903)),x102732),x102734))+P1(f329(f329(f331(x102733),f480(x102731,x102732,x102734,x102735,x102736,x102737,x102733)),x102737))+~P1(f329(f329(f331(f916(x102733,a903)),x102732),f329(f329(f61(x102733),x102737),x102736)))+~P1(f329(f329(f331(f916(x102733,a903)),x102731),f329(f329(f61(x102733),x102737),x102736)))
% 191.26/191.48 [10274]~P13(x102743,x102747,x102746)+E(x102741,x102742)+~P16(x102743,f916(x102745,a903),x102746,x102744)+~E(f329(f329(f40(x102743,f916(x102745,a903)),x102741),x102744),f329(f329(f40(x102743,f916(x102745,a903)),x102742),x102744))+P1(f329(f329(f331(x102743),f479(x102741,x102742,x102744,x102745,x102746,x102747,x102743)),x102747))+~P1(f329(f329(f331(f916(x102743,a903)),x102742),f329(f329(f61(x102743),x102747),x102746)))+~P1(f329(f329(f331(f916(x102743,a903)),x102741),f329(f329(f61(x102743),x102747),x102746)))
% 191.26/191.48 [10355]E(x103551,x103552)+~P13(x103553,x103556,x103557)+~P16(x103553,f916(x103554,a903),x103557,x103555)+~E(f329(f329(f40(x103553,f916(x103554,a903)),x103551),x103555),f329(f329(f40(x103553,f916(x103554,a903)),x103552),x103555))+~P1(f329(f329(f331(f915(x103553,x103553)),f329(f329(f257(x103553,x103553),f480(x103551,x103552,x103555,x103554,x103557,x103556,x103553)),f479(x103551,x103552,x103555,x103554,x103557,x103556,x103553))),x103557))+~P1(f329(f329(f331(f916(x103553,a903)),x103552),f329(f329(f61(x103553),x103556),x103557)))+~P1(f329(f329(f331(f916(x103553,a903)),x103551),f329(f329(f61(x103553),x103556),x103557)))
% 191.26/191.48 [9230]~P13(x92301,x92307,x92304)+~E(x92305,x92306)+~P1(f329(f329(f331(x92301),x92303),x92306))+~P1(f329(f329(f331(x92301),x92302),x92305))+~P1(f329(f329(f331(f916(x92301,a903)),x92306),f329(f329(f61(x92301),x92307),x92304)))+~P1(f329(f329(f331(f916(x92301,a903)),x92305),f329(f329(f61(x92301),x92307),x92304)))+P1(f329(f329(f331(f915(x92301,x92301)),f329(f329(f257(x92301,x92301),x92302),x92303)),x92304))
% 191.26/191.48 [9373]E(x93731,x93732)+~P13(x93733,x93734,x93735)+~P1(f329(f329(f331(x93733),x93736),x93732))+~P1(f329(f329(f331(x93733),x93737),x93731))+~P1(f329(f329(f331(f916(x93733,a903)),x93732),f329(f329(f61(x93733),x93734),x93735)))+~P1(f329(f329(f331(f916(x93733,a903)),x93731),f329(f329(f61(x93733),x93734),x93735)))+~P1(f329(f329(f331(f915(x93733,x93733)),f329(f329(f257(x93733,x93733),x93737),x93736)),x93735))
% 191.26/191.48 [10375]~P13(x103759,x103758,x103757)+~P13(x103751,x1037511,x1037510)+~P17(x103751,x103759,f916(x103756,a903),x1037510,x103757,x103755)+P1(f329(f329(f331(x103751),f481(x103752,x103753,x103754,x103755,x103756,x103757,x103758,x103759,x1037510,x1037511,x103751)),x1037511))+~P1(f329(f329(f331(f916(x103759,a903)),x103753),f329(f329(f61(x103759),x103758),x103757)))+~P1(f329(f329(f331(f916(x103751,a903)),x103754),f329(f329(f61(x103751),x1037511),x1037510)))+P1(f329(f329(f331(f916(x103756,a903)),f329(f329(f40(x103751,f916(x103756,a903)),x103754),f329(f329(f8(f916(x103759,f916(x103756,a903)),f916(x103756,a903),x103751),f329(f40(x103759,f916(x103756,a903)),x103753)),x103755))),x103752))
% 191.26/191.48 [10376]~P13(x1037611,x1037610,x103769)+~P13(x103761,x103768,x103767)+~P17(x1037611,x103761,f916(x103766,a903),x103769,x103767,x103765)+P1(f329(f329(f331(x103761),f483(x103762,x103763,x103764,x103765,x103766,x103767,x103768,x103761,x103769,x1037610,x1037611)),x103768))+~P1(f329(f329(f331(f916(x1037611,a903)),x103764),f329(f329(f61(x1037611),x1037610),x103769)))+~P1(f329(f329(f331(f916(x103761,a903)),x103763),f329(f329(f61(x103761),x103768),x103767)))+P1(f329(f329(f331(f916(x103766,a903)),f329(f329(f40(x1037611,f916(x103766,a903)),x103764),f329(f329(f8(f916(x103761,f916(x103766,a903)),f916(x103766,a903),x1037611),f329(f40(x103761,f916(x103766,a903)),x103763)),x103765))),x103762))
% 191.26/191.48 [10379]~P13(x103792,x103798,x103799)+~P13(x103794,x1037910,x1037911)+~P17(x103792,x103794,f916(x103791,a903),x103799,x1037911,x103796)+~P1(f329(f329(f331(f916(x103792,a903)),x103793),f329(f329(f61(x103792),x103798),x103799)))+~P1(f329(f329(f331(f916(x103794,a903)),x103795),f329(f329(f61(x103794),x1037910),x1037911)))+~P1(f329(f329(f331(f916(x103791,a903)),f329(f329(x103796,f481(x103797,x103795,x103793,x103796,x103791,x1037911,x1037910,x103794,x103799,x103798,x103792)),f483(x103797,x103795,x103793,x103796,x103791,x1037911,x1037910,x103794,x103799,x103798,x103792))),x103797))+P1(f329(f329(f331(f916(x103791,a903)),f329(f329(f40(x103792,f916(x103791,a903)),x103793),f329(f329(f8(f916(x103794,f916(x103791,a903)),f916(x103791,a903),x103792),f329(f40(x103794,f916(x103791,a903)),x103795)),x103796))),x103797))
% 191.26/191.48 [9274]E(x92741,x92742)+~P112(x92744)+~P30(x92743,x92744,x92745,f329(f329(f115(f916(x92743,a903)),f329(f175(x92743),x92741)),f329(f175(x92743),x92742)))+~E(f329(f175(x92743),x92741),f329(f175(x92743),x92742))+~P18(x92744,f329(f329(f157(x92743,x92744),x92745),x92742))+~P18(x92744,f329(f329(f157(x92743,x92744),x92745),x92741))+~P1(f329(f140(x92744),f329(f329(f157(x92743,x92744),x92745),x92742)))+~P1(f329(f140(x92744),f329(f329(f157(x92743,x92744),x92745),x92741)))
% 191.26/191.48 %EqnAxiom
% 191.26/191.48 [1]E(x11,x11)
% 191.26/191.48 [2]E(x22,x21)+~E(x21,x22)
% 191.26/191.48 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 191.26/191.48 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 191.26/191.48 [5]~E(x51,x52)+E(f105(x51),f105(x52))
% 191.26/191.48 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 191.26/191.48 [7]~E(x71,x72)+E(f191(x71),f191(x72))
% 191.26/191.48 [8]~E(x81,x82)+E(f329(x81,x83),f329(x82,x83))
% 191.26/191.48 [9]~E(x91,x92)+E(f329(x93,x91),f329(x93,x92))
% 191.26/191.48 [10]~E(x101,x102)+E(f30(x101),f30(x102))
% 191.26/191.48 [11]~E(x111,x112)+E(f5(x111),f5(x112))
% 191.26/191.48 [12]~E(x121,x122)+E(f86(x121),f86(x122))
% 191.26/191.48 [13]~E(x131,x132)+E(f916(x131,x133),f916(x132,x133))
% 191.26/191.48 [14]~E(x141,x142)+E(f916(x143,x141),f916(x143,x142))
% 191.26/191.48 [15]~E(x151,x152)+E(f62(x151),f62(x152))
% 191.26/191.48 [16]~E(x161,x162)+E(f483(x161,x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612),f483(x162,x163,x164,x165,x166,x167,x168,x169,x1610,x1611,x1612))
% 191.26/191.48 [17]~E(x171,x172)+E(f483(x173,x171,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712),f483(x173,x172,x174,x175,x176,x177,x178,x179,x1710,x1711,x1712))
% 191.26/191.48 [18]~E(x181,x182)+E(f483(x183,x184,x181,x185,x186,x187,x188,x189,x1810,x1811,x1812),f483(x183,x184,x182,x185,x186,x187,x188,x189,x1810,x1811,x1812))
% 191.26/191.48 [19]~E(x191,x192)+E(f483(x193,x194,x195,x191,x196,x197,x198,x199,x1910,x1911,x1912),f483(x193,x194,x195,x192,x196,x197,x198,x199,x1910,x1911,x1912))
% 191.26/191.48 [20]~E(x201,x202)+E(f483(x203,x204,x205,x206,x201,x207,x208,x209,x2010,x2011,x2012),f483(x203,x204,x205,x206,x202,x207,x208,x209,x2010,x2011,x2012))
% 191.26/191.48 [21]~E(x211,x212)+E(f483(x213,x214,x215,x216,x217,x211,x218,x219,x2110,x2111,x2112),f483(x213,x214,x215,x216,x217,x212,x218,x219,x2110,x2111,x2112))
% 191.26/191.48 [22]~E(x221,x222)+E(f483(x223,x224,x225,x226,x227,x228,x221,x229,x2210,x2211,x2212),f483(x223,x224,x225,x226,x227,x228,x222,x229,x2210,x2211,x2212))
% 191.26/191.48 [23]~E(x231,x232)+E(f483(x233,x234,x235,x236,x237,x238,x239,x231,x2310,x2311,x2312),f483(x233,x234,x235,x236,x237,x238,x239,x232,x2310,x2311,x2312))
% 191.26/191.48 [24]~E(x241,x242)+E(f483(x243,x244,x245,x246,x247,x248,x249,x2410,x241,x2411,x2412),f483(x243,x244,x245,x246,x247,x248,x249,x2410,x242,x2411,x2412))
% 191.26/191.48 [25]~E(x251,x252)+E(f483(x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x251,x2512),f483(x253,x254,x255,x256,x257,x258,x259,x2510,x2511,x252,x2512))
% 191.26/191.48 [26]~E(x261,x262)+E(f483(x263,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612,x261),f483(x263,x264,x265,x266,x267,x268,x269,x2610,x2611,x2612,x262))
% 191.26/191.48 [27]~E(x271,x272)+E(f106(x271),f106(x272))
% 191.26/191.48 [28]~E(x281,x282)+E(f238(x281),f238(x282))
% 191.26/191.48 [29]~E(x291,x292)+E(f115(x291),f115(x292))
% 191.26/191.48 [30]~E(x301,x302)+E(f239(x301),f239(x302))
% 191.26/191.48 [31]~E(x311,x312)+E(f107(x311),f107(x312))
% 191.26/191.48 [32]~E(x321,x322)+E(f33(x321),f33(x322))
% 191.26/191.48 [33]~E(x331,x332)+E(f7(x331,x333,x334),f7(x332,x333,x334))
% 191.26/191.48 [34]~E(x341,x342)+E(f7(x343,x341,x344),f7(x343,x342,x344))
% 191.26/191.48 [35]~E(x351,x352)+E(f7(x353,x354,x351),f7(x353,x354,x352))
% 191.26/191.48 [36]~E(x361,x362)+E(f80(x361),f80(x362))
% 191.26/191.48 [37]~E(x371,x372)+E(f481(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f481(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 191.26/191.48 [38]~E(x381,x382)+E(f481(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f481(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 191.26/191.48 [39]~E(x391,x392)+E(f481(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f481(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 191.26/191.48 [40]~E(x401,x402)+E(f481(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f481(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 191.26/191.48 [41]~E(x411,x412)+E(f481(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f481(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 191.26/191.48 [42]~E(x421,x422)+E(f481(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f481(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 191.26/191.48 [43]~E(x431,x432)+E(f481(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f481(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 191.26/191.48 [44]~E(x441,x442)+E(f481(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f481(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 191.26/191.48 [45]~E(x451,x452)+E(f481(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f481(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 191.26/191.48 [46]~E(x461,x462)+E(f481(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f481(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 191.26/191.48 [47]~E(x471,x472)+E(f481(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f481(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 191.26/191.48 [48]~E(x481,x482)+E(f116(x481),f116(x482))
% 191.26/191.48 [49]~E(x491,x492)+E(f331(x491),f331(x492))
% 191.26/191.48 [50]~E(x501,x502)+E(f240(x501),f240(x502))
% 191.26/191.48 [51]~E(x511,x512)+E(f4(x511),f4(x512))
% 191.26/191.48 [52]~E(x521,x522)+E(f846(x521,x523,x524),f846(x522,x523,x524))
% 191.26/191.48 [53]~E(x531,x532)+E(f846(x533,x531,x534),f846(x533,x532,x534))
% 191.26/191.48 [54]~E(x541,x542)+E(f846(x543,x544,x541),f846(x543,x544,x542))
% 191.26/191.48 [55]~E(x551,x552)+E(f907(x551),f907(x552))
% 191.26/191.48 [56]~E(x561,x562)+E(f912(x561),f912(x562))
% 191.26/191.48 [57]~E(x571,x572)+E(f909(x571),f909(x572))
% 191.26/191.48 [58]~E(x581,x582)+E(f910(x581),f910(x582))
% 191.26/191.48 [59]~E(x591,x592)+E(f81(x591),f81(x592))
% 191.26/191.48 [60]~E(x601,x602)+E(f8(x601,x603,x604),f8(x602,x603,x604))
% 191.26/191.48 [61]~E(x611,x612)+E(f8(x613,x611,x614),f8(x613,x612,x614))
% 191.26/191.48 [62]~E(x621,x622)+E(f8(x623,x624,x621),f8(x623,x624,x622))
% 191.26/191.48 [63]~E(x631,x632)+E(f192(x631),f192(x632))
% 191.26/191.48 [64]~E(x641,x642)+E(f41(x641,x643),f41(x642,x643))
% 191.26/191.48 [65]~E(x651,x652)+E(f41(x653,x651),f41(x653,x652))
% 191.26/191.48 [66]~E(x661,x662)+E(f108(x661),f108(x662))
% 191.26/191.48 [67]~E(x671,x672)+E(f6(x671,x673),f6(x672,x673))
% 191.26/191.48 [68]~E(x681,x682)+E(f6(x683,x681),f6(x683,x682))
% 191.26/191.48 [69]~E(x691,x692)+E(f50(x691,x693),f50(x692,x693))
% 191.26/191.48 [70]~E(x701,x702)+E(f50(x703,x701),f50(x703,x702))
% 191.26/191.48 [71]~E(x711,x712)+E(f311(x711),f311(x712))
% 191.26/191.48 [72]~E(x721,x722)+E(f915(x721,x723),f915(x722,x723))
% 191.26/191.48 [73]~E(x731,x732)+E(f915(x733,x731),f915(x733,x732))
% 191.26/191.48 [74]~E(x741,x742)+E(f61(x741),f61(x742))
% 191.26/191.48 [75]~E(x751,x752)+E(f241(x751),f241(x752))
% 191.26/191.48 [76]~E(x761,x762)+E(f12(x761,x763,x764),f12(x762,x763,x764))
% 191.26/191.48 [77]~E(x771,x772)+E(f12(x773,x771,x774),f12(x773,x772,x774))
% 191.26/191.48 [78]~E(x781,x782)+E(f12(x783,x784,x781),f12(x783,x784,x782))
% 191.26/191.48 [79]~E(x791,x792)+E(f289(x791,x793),f289(x792,x793))
% 191.26/191.48 [80]~E(x801,x802)+E(f289(x803,x801),f289(x803,x802))
% 191.26/191.48 [81]~E(x811,x812)+E(f9(x811,x813),f9(x812,x813))
% 191.26/191.48 [82]~E(x821,x822)+E(f9(x823,x821),f9(x823,x822))
% 191.26/191.48 [83]~E(x831,x832)+E(f312(x831,x833,x834),f312(x832,x833,x834))
% 191.26/191.48 [84]~E(x841,x842)+E(f312(x843,x841,x844),f312(x843,x842,x844))
% 191.26/191.48 [85]~E(x851,x852)+E(f312(x853,x854,x851),f312(x853,x854,x852))
% 191.26/191.48 [86]~E(x861,x862)+E(f292(x861),f292(x862))
% 191.26/191.48 [87]~E(x871,x872)+E(f257(x871,x873),f257(x872,x873))
% 191.26/191.48 [88]~E(x881,x882)+E(f257(x883,x881),f257(x883,x882))
% 191.26/191.48 [89]~E(x891,x892)+E(f82(x891),f82(x892))
% 191.26/191.48 [90]~E(x901,x902)+E(f89(x901),f89(x902))
% 191.26/191.48 [91]~E(x911,x912)+E(f852(x911,x913,x914),f852(x912,x913,x914))
% 191.26/191.48 [92]~E(x921,x922)+E(f852(x923,x921,x924),f852(x923,x922,x924))
% 191.26/191.48 [93]~E(x931,x932)+E(f852(x933,x934,x931),f852(x933,x934,x932))
% 191.26/191.48 [94]~E(x941,x942)+E(f65(x941,x943,x944),f65(x942,x943,x944))
% 191.26/191.48 [95]~E(x951,x952)+E(f65(x953,x951,x954),f65(x953,x952,x954))
% 191.26/191.48 [96]~E(x961,x962)+E(f65(x963,x964,x961),f65(x963,x964,x962))
% 191.26/191.48 [97]~E(x971,x972)+E(f309(x971,x973),f309(x972,x973))
% 191.26/191.48 [98]~E(x981,x982)+E(f309(x983,x981),f309(x983,x982))
% 191.26/191.48 [99]~E(x991,x992)+E(f288(x991,x993,x994),f288(x992,x993,x994))
% 191.26/191.48 [100]~E(x1001,x1002)+E(f288(x1003,x1001,x1004),f288(x1003,x1002,x1004))
% 191.26/191.48 [101]~E(x1011,x1012)+E(f288(x1013,x1014,x1011),f288(x1013,x1014,x1012))
% 191.26/191.48 [102]~E(x1021,x1022)+E(f137(x1021),f137(x1022))
% 191.26/191.48 [103]~E(x1031,x1032)+E(f652(x1031,x1033,x1034,x1035),f652(x1032,x1033,x1034,x1035))
% 191.26/191.48 [104]~E(x1041,x1042)+E(f652(x1043,x1041,x1044,x1045),f652(x1043,x1042,x1044,x1045))
% 191.26/191.48 [105]~E(x1051,x1052)+E(f652(x1053,x1054,x1051,x1055),f652(x1053,x1054,x1052,x1055))
% 191.26/191.48 [106]~E(x1061,x1062)+E(f652(x1063,x1064,x1065,x1061),f652(x1063,x1064,x1065,x1062))
% 191.26/191.48 [107]~E(x1071,x1072)+E(f851(x1071,x1073,x1074),f851(x1072,x1073,x1074))
% 191.26/191.48 [108]~E(x1081,x1082)+E(f851(x1083,x1081,x1084),f851(x1083,x1082,x1084))
% 191.26/191.48 [109]~E(x1091,x1092)+E(f851(x1093,x1094,x1091),f851(x1093,x1094,x1092))
% 191.26/191.48 [110]~E(x1101,x1102)+E(f247(x1101),f247(x1102))
% 191.26/191.48 [111]~E(x1111,x1112)+E(f887(x1111,x1113,x1114),f887(x1112,x1113,x1114))
% 191.26/191.48 [112]~E(x1121,x1122)+E(f887(x1123,x1121,x1124),f887(x1123,x1122,x1124))
% 191.26/191.48 [113]~E(x1131,x1132)+E(f887(x1133,x1134,x1131),f887(x1133,x1134,x1132))
% 191.26/191.48 [114]~E(x1141,x1142)+E(f83(x1141),f83(x1142))
% 191.26/191.48 [115]~E(x1151,x1152)+E(f36(x1151),f36(x1152))
% 191.26/191.48 [116]~E(x1161,x1162)+E(f731(x1161,x1163),f731(x1162,x1163))
% 191.26/191.48 [117]~E(x1171,x1172)+E(f731(x1173,x1171),f731(x1173,x1172))
% 191.26/191.48 [118]~E(x1181,x1182)+E(f150(x1181,x1183),f150(x1182,x1183))
% 191.26/191.48 [119]~E(x1191,x1192)+E(f150(x1193,x1191),f150(x1193,x1192))
% 191.26/191.48 [120]~E(x1201,x1202)+E(f154(x1201),f154(x1202))
% 191.26/191.48 [121]~E(x1211,x1212)+E(f37(x1211),f37(x1212))
% 191.26/191.48 [122]~E(x1221,x1222)+E(f140(x1221),f140(x1222))
% 191.26/191.48 [123]~E(x1231,x1232)+E(f267(x1231),f267(x1232))
% 191.26/191.48 [124]~E(x1241,x1242)+E(f77(x1241),f77(x1242))
% 191.26/191.48 [125]~E(x1251,x1252)+E(f570(x1251,x1253,x1254,x1255),f570(x1252,x1253,x1254,x1255))
% 191.26/191.48 [126]~E(x1261,x1262)+E(f570(x1263,x1261,x1264,x1265),f570(x1263,x1262,x1264,x1265))
% 191.26/191.48 [127]~E(x1271,x1272)+E(f570(x1273,x1274,x1271,x1275),f570(x1273,x1274,x1272,x1275))
% 191.26/191.48 [128]~E(x1281,x1282)+E(f570(x1283,x1284,x1285,x1281),f570(x1283,x1284,x1285,x1282))
% 191.26/191.48 [129]~E(x1291,x1292)+E(f742(x1291,x1293,x1294),f742(x1292,x1293,x1294))
% 191.26/191.48 [130]~E(x1301,x1302)+E(f742(x1303,x1301,x1304),f742(x1303,x1302,x1304))
% 191.26/191.48 [131]~E(x1311,x1312)+E(f742(x1313,x1314,x1311),f742(x1313,x1314,x1312))
% 191.26/191.48 [132]~E(x1321,x1322)+E(f167(x1321),f167(x1322))
% 191.26/191.48 [133]~E(x1331,x1332)+E(f189(x1331),f189(x1332))
% 191.26/191.48 [134]~E(x1341,x1342)+E(f11(x1341,x1343,x1344),f11(x1342,x1343,x1344))
% 191.26/191.48 [135]~E(x1351,x1352)+E(f11(x1353,x1351,x1354),f11(x1353,x1352,x1354))
% 191.26/191.48 [136]~E(x1361,x1362)+E(f11(x1363,x1364,x1361),f11(x1363,x1364,x1362))
% 191.26/191.48 [137]~E(x1371,x1372)+E(f92(x1371,x1373),f92(x1372,x1373))
% 191.26/191.48 [138]~E(x1381,x1382)+E(f92(x1383,x1381),f92(x1383,x1382))
% 191.26/191.48 [139]~E(x1391,x1392)+E(f231(x1391,x1393),f231(x1392,x1393))
% 191.26/191.48 [140]~E(x1401,x1402)+E(f231(x1403,x1401),f231(x1403,x1402))
% 191.26/191.48 [141]~E(x1411,x1412)+E(f32(x1411,x1413),f32(x1412,x1413))
% 191.26/191.48 [142]~E(x1421,x1422)+E(f32(x1423,x1421),f32(x1423,x1422))
% 191.26/191.48 [143]~E(x1431,x1432)+E(f110(x1431),f110(x1432))
% 191.26/191.48 [144]~E(x1441,x1442)+E(f111(x1441),f111(x1442))
% 191.26/191.48 [145]~E(x1451,x1452)+E(f330(x1451),f330(x1452))
% 191.26/191.48 [146]~E(x1461,x1462)+E(f18(x1461,x1463,x1464),f18(x1462,x1463,x1464))
% 191.26/191.48 [147]~E(x1471,x1472)+E(f18(x1473,x1471,x1474),f18(x1473,x1472,x1474))
% 191.26/191.48 [148]~E(x1481,x1482)+E(f18(x1483,x1484,x1481),f18(x1483,x1484,x1482))
% 191.26/191.48 [149]~E(x1491,x1492)+E(f563(x1491),f563(x1492))
% 191.26/191.48 [150]~E(x1501,x1502)+E(f84(x1501,x1503),f84(x1502,x1503))
% 191.26/191.48 [151]~E(x1511,x1512)+E(f84(x1513,x1511),f84(x1513,x1512))
% 191.26/191.48 [152]~E(x1521,x1522)+E(f304(x1521,x1523),f304(x1522,x1523))
% 191.26/191.48 [153]~E(x1531,x1532)+E(f304(x1533,x1531),f304(x1533,x1532))
% 191.26/191.48 [154]~E(x1541,x1542)+E(f246(x1541,x1543),f246(x1542,x1543))
% 191.26/191.48 [155]~E(x1551,x1552)+E(f246(x1553,x1551),f246(x1553,x1552))
% 191.26/191.48 [156]~E(x1561,x1562)+E(f306(x1561),f306(x1562))
% 191.26/191.48 [157]~E(x1571,x1572)+E(f741(x1571,x1573),f741(x1572,x1573))
% 191.26/191.48 [158]~E(x1581,x1582)+E(f741(x1583,x1581),f741(x1583,x1582))
% 191.26/191.48 [159]~E(x1591,x1592)+E(f118(x1591),f118(x1592))
% 191.26/191.48 [160]~E(x1601,x1602)+E(f160(x1601,x1603),f160(x1602,x1603))
% 191.26/191.48 [161]~E(x1611,x1612)+E(f160(x1613,x1611),f160(x1613,x1612))
% 191.26/191.48 [162]~E(x1621,x1622)+E(f58(x1621),f58(x1622))
% 191.26/191.48 [163]~E(x1631,x1632)+E(f848(x1631,x1633,x1634),f848(x1632,x1633,x1634))
% 191.26/191.48 [164]~E(x1641,x1642)+E(f848(x1643,x1641,x1644),f848(x1643,x1642,x1644))
% 191.26/191.48 [165]~E(x1651,x1652)+E(f848(x1653,x1654,x1651),f848(x1653,x1654,x1652))
% 191.26/191.48 [166]~E(x1661,x1662)+E(f259(x1661,x1663),f259(x1662,x1663))
% 191.26/191.48 [167]~E(x1671,x1672)+E(f259(x1673,x1671),f259(x1673,x1672))
% 191.26/191.48 [168]~E(x1681,x1682)+E(f422(x1681,x1683,x1684,x1685),f422(x1682,x1683,x1684,x1685))
% 191.26/191.48 [169]~E(x1691,x1692)+E(f422(x1693,x1691,x1694,x1695),f422(x1693,x1692,x1694,x1695))
% 191.26/191.48 [170]~E(x1701,x1702)+E(f422(x1703,x1704,x1701,x1705),f422(x1703,x1704,x1702,x1705))
% 191.26/191.48 [171]~E(x1711,x1712)+E(f422(x1713,x1714,x1715,x1711),f422(x1713,x1714,x1715,x1712))
% 191.26/191.48 [172]~E(x1721,x1722)+E(f46(x1721,x1723,x1724),f46(x1722,x1723,x1724))
% 191.26/191.48 [173]~E(x1731,x1732)+E(f46(x1733,x1731,x1734),f46(x1733,x1732,x1734))
% 191.26/191.48 [174]~E(x1741,x1742)+E(f46(x1743,x1744,x1741),f46(x1743,x1744,x1742))
% 191.26/191.48 [175]~E(x1751,x1752)+E(f317(x1751,x1753),f317(x1752,x1753))
% 191.26/191.48 [176]~E(x1761,x1762)+E(f317(x1763,x1761),f317(x1763,x1762))
% 191.26/191.48 [177]~E(x1771,x1772)+E(f40(x1771,x1773),f40(x1772,x1773))
% 191.26/191.48 [178]~E(x1781,x1782)+E(f40(x1783,x1781),f40(x1783,x1782))
% 191.26/191.48 [179]~E(x1791,x1792)+E(f249(x1791),f249(x1792))
% 191.26/191.48 [180]~E(x1801,x1802)+E(f809(x1801,x1803,x1804,x1805),f809(x1802,x1803,x1804,x1805))
% 191.26/191.48 [181]~E(x1811,x1812)+E(f809(x1813,x1811,x1814,x1815),f809(x1813,x1812,x1814,x1815))
% 191.26/191.48 [182]~E(x1821,x1822)+E(f809(x1823,x1824,x1821,x1825),f809(x1823,x1824,x1822,x1825))
% 191.26/191.48 [183]~E(x1831,x1832)+E(f809(x1833,x1834,x1835,x1831),f809(x1833,x1834,x1835,x1832))
% 191.26/191.48 [184]~E(x1841,x1842)+E(f537(x1841,x1843),f537(x1842,x1843))
% 191.26/191.48 [185]~E(x1851,x1852)+E(f537(x1853,x1851),f537(x1853,x1852))
% 191.26/191.48 [186]~E(x1861,x1862)+E(f823(x1861,x1863,x1864,x1865),f823(x1862,x1863,x1864,x1865))
% 191.26/191.48 [187]~E(x1871,x1872)+E(f823(x1873,x1871,x1874,x1875),f823(x1873,x1872,x1874,x1875))
% 191.26/191.48 [188]~E(x1881,x1882)+E(f823(x1883,x1884,x1881,x1885),f823(x1883,x1884,x1882,x1885))
% 191.26/191.48 [189]~E(x1891,x1892)+E(f823(x1893,x1894,x1895,x1891),f823(x1893,x1894,x1895,x1892))
% 191.26/191.48 [190]~E(x1901,x1902)+E(f175(x1901),f175(x1902))
% 191.26/191.48 [191]~E(x1911,x1912)+E(f580(x1911,x1913,x1914),f580(x1912,x1913,x1914))
% 191.26/191.48 [192]~E(x1921,x1922)+E(f580(x1923,x1921,x1924),f580(x1923,x1922,x1924))
% 191.26/191.48 [193]~E(x1931,x1932)+E(f580(x1933,x1934,x1931),f580(x1933,x1934,x1932))
% 191.26/191.48 [194]~E(x1941,x1942)+E(f139(x1941,x1943),f139(x1942,x1943))
% 191.26/191.48 [195]~E(x1951,x1952)+E(f139(x1953,x1951),f139(x1953,x1952))
% 191.26/191.48 [196]~E(x1961,x1962)+E(f39(x1961,x1963),f39(x1962,x1963))
% 191.26/191.48 [197]~E(x1971,x1972)+E(f39(x1973,x1971),f39(x1973,x1972))
% 191.26/191.48 [198]~E(x1981,x1982)+E(f234(x1981,x1983,x1984),f234(x1982,x1983,x1984))
% 191.26/191.48 [199]~E(x1991,x1992)+E(f234(x1993,x1991,x1994),f234(x1993,x1992,x1994))
% 191.26/191.48 [200]~E(x2001,x2002)+E(f234(x2003,x2004,x2001),f234(x2003,x2004,x2002))
% 191.26/191.48 [201]~E(x2011,x2012)+E(f632(x2011,x2013,x2014,x2015,x2016),f632(x2012,x2013,x2014,x2015,x2016))
% 191.26/191.48 [202]~E(x2021,x2022)+E(f632(x2023,x2021,x2024,x2025,x2026),f632(x2023,x2022,x2024,x2025,x2026))
% 191.26/191.48 [203]~E(x2031,x2032)+E(f632(x2033,x2034,x2031,x2035,x2036),f632(x2033,x2034,x2032,x2035,x2036))
% 191.26/191.48 [204]~E(x2041,x2042)+E(f632(x2043,x2044,x2045,x2041,x2046),f632(x2043,x2044,x2045,x2042,x2046))
% 191.26/191.48 [205]~E(x2051,x2052)+E(f632(x2053,x2054,x2055,x2056,x2051),f632(x2053,x2054,x2055,x2056,x2052))
% 191.26/191.48 [206]~E(x2061,x2062)+E(f262(x2061,x2063,x2064),f262(x2062,x2063,x2064))
% 191.26/191.48 [207]~E(x2071,x2072)+E(f262(x2073,x2071,x2074),f262(x2073,x2072,x2074))
% 191.26/191.48 [208]~E(x2081,x2082)+E(f262(x2083,x2084,x2081),f262(x2083,x2084,x2082))
% 191.26/191.48 [209]~E(x2091,x2092)+E(f260(x2091,x2093,x2094,x2095),f260(x2092,x2093,x2094,x2095))
% 191.26/191.48 [210]~E(x2101,x2102)+E(f260(x2103,x2101,x2104,x2105),f260(x2103,x2102,x2104,x2105))
% 191.26/191.48 [211]~E(x2111,x2112)+E(f260(x2113,x2114,x2111,x2115),f260(x2113,x2114,x2112,x2115))
% 191.26/191.48 [212]~E(x2121,x2122)+E(f260(x2123,x2124,x2125,x2121),f260(x2123,x2124,x2125,x2122))
% 191.26/191.48 [213]~E(x2131,x2132)+E(f178(x2131),f178(x2132))
% 191.26/191.48 [214]~E(x2141,x2142)+E(f256(x2141,x2143),f256(x2142,x2143))
% 191.26/191.48 [215]~E(x2151,x2152)+E(f256(x2153,x2151),f256(x2153,x2152))
% 191.26/191.48 [216]~E(x2161,x2162)+E(f157(x2161,x2163),f157(x2162,x2163))
% 191.26/191.48 [217]~E(x2171,x2172)+E(f157(x2173,x2171),f157(x2173,x2172))
% 191.26/191.48 [218]~E(x2181,x2182)+E(f172(x2181,x2183,x2184),f172(x2182,x2183,x2184))
% 191.26/191.48 [219]~E(x2191,x2192)+E(f172(x2193,x2191,x2194),f172(x2193,x2192,x2194))
% 191.26/191.48 [220]~E(x2201,x2202)+E(f172(x2203,x2204,x2201),f172(x2203,x2204,x2202))
% 191.26/191.48 [221]~E(x2211,x2212)+E(f114(x2211),f114(x2212))
% 191.26/191.48 [222]~E(x2221,x2222)+E(f264(x2221,x2223,x2224,x2225),f264(x2222,x2223,x2224,x2225))
% 191.26/191.48 [223]~E(x2231,x2232)+E(f264(x2233,x2231,x2234,x2235),f264(x2233,x2232,x2234,x2235))
% 191.26/191.48 [224]~E(x2241,x2242)+E(f264(x2243,x2244,x2241,x2245),f264(x2243,x2244,x2242,x2245))
% 191.26/191.48 [225]~E(x2251,x2252)+E(f264(x2253,x2254,x2255,x2251),f264(x2253,x2254,x2255,x2252))
% 191.26/191.48 [226]~E(x2261,x2262)+E(f261(x2261,x2263),f261(x2262,x2263))
% 191.26/191.48 [227]~E(x2271,x2272)+E(f261(x2273,x2271),f261(x2273,x2272))
% 191.26/191.48 [228]~E(x2281,x2282)+E(f730(x2281,x2283),f730(x2282,x2283))
% 191.26/191.48 [229]~E(x2291,x2292)+E(f730(x2293,x2291),f730(x2293,x2292))
% 191.26/191.48 [230]~E(x2301,x2302)+E(f15(x2301,x2303),f15(x2302,x2303))
% 191.26/191.48 [231]~E(x2311,x2312)+E(f15(x2313,x2311),f15(x2313,x2312))
% 191.26/191.48 [232]~E(x2321,x2322)+E(f338(x2321),f338(x2322))
% 191.26/191.48 [233]~E(x2331,x2332)+E(f164(x2331,x2333),f164(x2332,x2333))
% 191.26/191.48 [234]~E(x2341,x2342)+E(f164(x2343,x2341),f164(x2343,x2342))
% 191.26/191.48 [235]~E(x2351,x2352)+E(f307(x2351,x2353,x2354),f307(x2352,x2353,x2354))
% 191.26/191.48 [236]~E(x2361,x2362)+E(f307(x2363,x2361,x2364),f307(x2363,x2362,x2364))
% 191.26/191.48 [237]~E(x2371,x2372)+E(f307(x2373,x2374,x2371),f307(x2373,x2374,x2372))
% 191.26/191.48 [238]~E(x2381,x2382)+E(f184(x2381,x2383),f184(x2382,x2383))
% 191.26/191.48 [239]~E(x2391,x2392)+E(f184(x2393,x2391),f184(x2393,x2392))
% 191.26/191.48 [240]~E(x2401,x2402)+E(f186(x2401,x2403),f186(x2402,x2403))
% 191.26/191.48 [241]~E(x2411,x2412)+E(f186(x2413,x2411),f186(x2413,x2412))
% 191.26/191.48 [242]~E(x2421,x2422)+E(f291(x2421,x2423,x2424),f291(x2422,x2423,x2424))
% 191.26/191.48 [243]~E(x2431,x2432)+E(f291(x2433,x2431,x2434),f291(x2433,x2432,x2434))
% 191.26/191.48 [244]~E(x2441,x2442)+E(f291(x2443,x2444,x2441),f291(x2443,x2444,x2442))
% 191.26/191.48 [245]~E(x2451,x2452)+E(f95(x2451,x2453,x2454),f95(x2452,x2453,x2454))
% 191.26/191.48 [246]~E(x2461,x2462)+E(f95(x2463,x2461,x2464),f95(x2463,x2462,x2464))
% 191.26/191.48 [247]~E(x2471,x2472)+E(f95(x2473,x2474,x2471),f95(x2473,x2474,x2472))
% 191.26/191.48 [248]~E(x2481,x2482)+E(f143(x2481,x2483,x2484),f143(x2482,x2483,x2484))
% 191.26/191.48 [249]~E(x2491,x2492)+E(f143(x2493,x2491,x2494),f143(x2493,x2492,x2494))
% 191.26/191.48 [250]~E(x2501,x2502)+E(f143(x2503,x2504,x2501),f143(x2503,x2504,x2502))
% 191.26/191.48 [251]~E(x2511,x2512)+E(f180(x2511,x2513,x2514),f180(x2512,x2513,x2514))
% 191.26/191.48 [252]~E(x2521,x2522)+E(f180(x2523,x2521,x2524),f180(x2523,x2522,x2524))
% 191.26/191.48 [253]~E(x2531,x2532)+E(f180(x2533,x2534,x2531),f180(x2533,x2534,x2532))
% 191.26/191.48 [254]~E(x2541,x2542)+E(f119(x2541,x2543),f119(x2542,x2543))
% 191.26/191.48 [255]~E(x2551,x2552)+E(f119(x2553,x2551),f119(x2553,x2552))
% 191.26/191.48 [256]~E(x2561,x2562)+E(f296(x2561,x2563,x2564),f296(x2562,x2563,x2564))
% 191.26/191.48 [257]~E(x2571,x2572)+E(f296(x2573,x2571,x2574),f296(x2573,x2572,x2574))
% 191.26/191.48 [258]~E(x2581,x2582)+E(f296(x2583,x2584,x2581),f296(x2583,x2584,x2582))
% 191.26/191.48 [259]~E(x2591,x2592)+E(f367(x2591,x2593,x2594,x2595),f367(x2592,x2593,x2594,x2595))
% 191.26/191.48 [260]~E(x2601,x2602)+E(f367(x2603,x2601,x2604,x2605),f367(x2603,x2602,x2604,x2605))
% 191.26/191.48 [261]~E(x2611,x2612)+E(f367(x2613,x2614,x2611,x2615),f367(x2613,x2614,x2612,x2615))
% 191.26/191.48 [262]~E(x2621,x2622)+E(f367(x2623,x2624,x2625,x2621),f367(x2623,x2624,x2625,x2622))
% 191.26/191.48 [263]~E(x2631,x2632)+E(f155(x2631,x2633),f155(x2632,x2633))
% 191.26/191.48 [264]~E(x2641,x2642)+E(f155(x2643,x2641),f155(x2643,x2642))
% 191.26/191.48 [265]~E(x2651,x2652)+E(f285(x2651),f285(x2652))
% 191.26/191.48 [266]~E(x2661,x2662)+E(f194(x2661),f194(x2662))
% 191.26/191.48 [267]~E(x2671,x2672)+E(f38(x2671,x2673),f38(x2672,x2673))
% 191.26/191.48 [268]~E(x2681,x2682)+E(f38(x2683,x2681),f38(x2683,x2682))
% 191.26/191.48 [269]~E(x2691,x2692)+E(f120(x2691),f120(x2692))
% 191.26/191.48 [270]~E(x2701,x2702)+E(f643(x2701,x2703,x2704),f643(x2702,x2703,x2704))
% 191.26/191.48 [271]~E(x2711,x2712)+E(f643(x2713,x2711,x2714),f643(x2713,x2712,x2714))
% 191.26/191.48 [272]~E(x2721,x2722)+E(f643(x2723,x2724,x2721),f643(x2723,x2724,x2722))
% 191.26/191.48 [273]~E(x2731,x2732)+E(f168(x2731),f168(x2732))
% 191.26/191.48 [274]~E(x2741,x2742)+E(f847(x2741,x2743,x2744),f847(x2742,x2743,x2744))
% 191.26/191.48 [275]~E(x2751,x2752)+E(f847(x2753,x2751,x2754),f847(x2753,x2752,x2754))
% 191.26/191.48 [276]~E(x2761,x2762)+E(f847(x2763,x2764,x2761),f847(x2763,x2764,x2762))
% 191.26/191.48 [277]~E(x2771,x2772)+E(f914(x2771,x2773),f914(x2772,x2773))
% 191.26/191.48 [278]~E(x2781,x2782)+E(f914(x2783,x2781),f914(x2783,x2782))
% 191.26/191.48 [279]~E(x2791,x2792)+E(f74(x2791,x2793,x2794,x2795),f74(x2792,x2793,x2794,x2795))
% 191.26/191.48 [280]~E(x2801,x2802)+E(f74(x2803,x2801,x2804,x2805),f74(x2803,x2802,x2804,x2805))
% 191.26/191.48 [281]~E(x2811,x2812)+E(f74(x2813,x2814,x2811,x2815),f74(x2813,x2814,x2812,x2815))
% 191.26/191.48 [282]~E(x2821,x2822)+E(f74(x2823,x2824,x2825,x2821),f74(x2823,x2824,x2825,x2822))
% 191.26/191.48 [283]~E(x2831,x2832)+E(f913(x2831,x2833),f913(x2832,x2833))
% 191.26/191.48 [284]~E(x2841,x2842)+E(f913(x2843,x2841),f913(x2843,x2842))
% 191.26/191.48 [285]~E(x2851,x2852)+E(f170(x2851),f170(x2852))
% 191.26/191.48 [286]~E(x2861,x2862)+E(f680(x2861,x2863,x2864,x2865,x2866),f680(x2862,x2863,x2864,x2865,x2866))
% 191.26/191.48 [287]~E(x2871,x2872)+E(f680(x2873,x2871,x2874,x2875,x2876),f680(x2873,x2872,x2874,x2875,x2876))
% 191.26/191.48 [288]~E(x2881,x2882)+E(f680(x2883,x2884,x2881,x2885,x2886),f680(x2883,x2884,x2882,x2885,x2886))
% 191.26/191.48 [289]~E(x2891,x2892)+E(f680(x2893,x2894,x2895,x2891,x2896),f680(x2893,x2894,x2895,x2892,x2896))
% 191.26/191.48 [290]~E(x2901,x2902)+E(f680(x2903,x2904,x2905,x2906,x2901),f680(x2903,x2904,x2905,x2906,x2902))
% 191.26/191.48 [291]~E(x2911,x2912)+E(f148(x2911,x2913),f148(x2912,x2913))
% 191.26/191.48 [292]~E(x2921,x2922)+E(f148(x2923,x2921),f148(x2923,x2922))
% 191.26/191.48 [293]~E(x2931,x2932)+E(f161(x2931,x2933),f161(x2932,x2933))
% 191.26/191.48 [294]~E(x2941,x2942)+E(f161(x2943,x2941),f161(x2943,x2942))
% 191.26/191.48 [295]~E(x2951,x2952)+E(f174(x2951),f174(x2952))
% 191.26/191.48 [296]~E(x2961,x2962)+E(f236(x2961),f236(x2962))
% 191.26/191.48 [297]~E(x2971,x2972)+E(f477(x2971,x2973,x2974,x2975,x2976),f477(x2972,x2973,x2974,x2975,x2976))
% 191.26/191.48 [298]~E(x2981,x2982)+E(f477(x2983,x2981,x2984,x2985,x2986),f477(x2983,x2982,x2984,x2985,x2986))
% 191.26/191.48 [299]~E(x2991,x2992)+E(f477(x2993,x2994,x2991,x2995,x2996),f477(x2993,x2994,x2992,x2995,x2996))
% 191.26/191.48 [300]~E(x3001,x3002)+E(f477(x3003,x3004,x3005,x3001,x3006),f477(x3003,x3004,x3005,x3002,x3006))
% 191.26/191.48 [301]~E(x3011,x3012)+E(f477(x3013,x3014,x3015,x3016,x3011),f477(x3013,x3014,x3015,x3016,x3012))
% 191.26/191.48 [302]~E(x3021,x3022)+E(f565(x3021,x3023),f565(x3022,x3023))
% 191.26/191.48 [303]~E(x3031,x3032)+E(f565(x3033,x3031),f565(x3033,x3032))
% 191.26/191.48 [304]~E(x3041,x3042)+E(f171(x3041),f171(x3042))
% 191.26/191.48 [305]~E(x3051,x3052)+E(f31(x3051,x3053),f31(x3052,x3053))
% 191.26/191.48 [306]~E(x3061,x3062)+E(f31(x3063,x3061),f31(x3063,x3062))
% 191.26/191.48 [307]~E(x3071,x3072)+E(f678(x3071,x3073,x3074,x3075),f678(x3072,x3073,x3074,x3075))
% 191.26/191.48 [308]~E(x3081,x3082)+E(f678(x3083,x3081,x3084,x3085),f678(x3083,x3082,x3084,x3085))
% 191.26/191.48 [309]~E(x3091,x3092)+E(f678(x3093,x3094,x3091,x3095),f678(x3093,x3094,x3092,x3095))
% 191.26/191.48 [310]~E(x3101,x3102)+E(f678(x3103,x3104,x3105,x3101),f678(x3103,x3104,x3105,x3102))
% 191.26/191.48 [311]~E(x3111,x3112)+E(f57(x3111),f57(x3112))
% 191.26/191.48 [312]~E(x3121,x3122)+E(f456(x3121,x3123,x3124,x3125,x3126,x3127),f456(x3122,x3123,x3124,x3125,x3126,x3127))
% 191.26/191.48 [313]~E(x3131,x3132)+E(f456(x3133,x3131,x3134,x3135,x3136,x3137),f456(x3133,x3132,x3134,x3135,x3136,x3137))
% 191.26/191.48 [314]~E(x3141,x3142)+E(f456(x3143,x3144,x3141,x3145,x3146,x3147),f456(x3143,x3144,x3142,x3145,x3146,x3147))
% 191.26/191.48 [315]~E(x3151,x3152)+E(f456(x3153,x3154,x3155,x3151,x3156,x3157),f456(x3153,x3154,x3155,x3152,x3156,x3157))
% 191.26/191.48 [316]~E(x3161,x3162)+E(f456(x3163,x3164,x3165,x3166,x3161,x3167),f456(x3163,x3164,x3165,x3166,x3162,x3167))
% 191.26/191.48 [317]~E(x3171,x3172)+E(f456(x3173,x3174,x3175,x3176,x3177,x3171),f456(x3173,x3174,x3175,x3176,x3177,x3172))
% 191.26/191.48 [318]~E(x3181,x3182)+E(f747(x3181,x3183,x3184),f747(x3182,x3183,x3184))
% 191.26/191.48 [319]~E(x3191,x3192)+E(f747(x3193,x3191,x3194),f747(x3193,x3192,x3194))
% 191.26/191.48 [320]~E(x3201,x3202)+E(f747(x3203,x3204,x3201),f747(x3203,x3204,x3202))
% 191.26/191.48 [321]~E(x3211,x3212)+E(f800(x3211,x3213,x3214,x3215,x3216),f800(x3212,x3213,x3214,x3215,x3216))
% 191.26/191.48 [322]~E(x3221,x3222)+E(f800(x3223,x3221,x3224,x3225,x3226),f800(x3223,x3222,x3224,x3225,x3226))
% 191.26/191.48 [323]~E(x3231,x3232)+E(f800(x3233,x3234,x3231,x3235,x3236),f800(x3233,x3234,x3232,x3235,x3236))
% 191.26/191.48 [324]~E(x3241,x3242)+E(f800(x3243,x3244,x3245,x3241,x3246),f800(x3243,x3244,x3245,x3242,x3246))
% 191.26/191.48 [325]~E(x3251,x3252)+E(f800(x3253,x3254,x3255,x3256,x3251),f800(x3253,x3254,x3255,x3256,x3252))
% 191.26/191.48 [326]~E(x3261,x3262)+E(f901(x3261,x3263,x3264,x3265),f901(x3262,x3263,x3264,x3265))
% 191.26/191.48 [327]~E(x3271,x3272)+E(f901(x3273,x3271,x3274,x3275),f901(x3273,x3272,x3274,x3275))
% 191.26/191.48 [328]~E(x3281,x3282)+E(f901(x3283,x3284,x3281,x3285),f901(x3283,x3284,x3282,x3285))
% 191.26/191.48 [329]~E(x3291,x3292)+E(f901(x3293,x3294,x3295,x3291),f901(x3293,x3294,x3295,x3292))
% 191.26/191.48 [330]~E(x3301,x3302)+E(f473(x3301,x3303,x3304,x3305),f473(x3302,x3303,x3304,x3305))
% 191.26/191.48 [331]~E(x3311,x3312)+E(f473(x3313,x3311,x3314,x3315),f473(x3313,x3312,x3314,x3315))
% 191.26/191.48 [332]~E(x3321,x3322)+E(f473(x3323,x3324,x3321,x3325),f473(x3323,x3324,x3322,x3325))
% 191.26/191.48 [333]~E(x3331,x3332)+E(f473(x3333,x3334,x3335,x3331),f473(x3333,x3334,x3335,x3332))
% 191.26/191.48 [334]~E(x3341,x3342)+E(f320(x3341,x3343),f320(x3342,x3343))
% 191.26/191.48 [335]~E(x3351,x3352)+E(f320(x3353,x3351),f320(x3353,x3352))
% 191.26/191.48 [336]~E(x3361,x3362)+E(f16(x3361,x3363),f16(x3362,x3363))
% 191.26/191.48 [337]~E(x3371,x3372)+E(f16(x3373,x3371),f16(x3373,x3372))
% 191.26/191.48 [338]~E(x3381,x3382)+E(f322(x3381,x3383),f322(x3382,x3383))
% 191.26/191.48 [339]~E(x3391,x3392)+E(f322(x3393,x3391),f322(x3393,x3392))
% 191.26/191.48 [340]~E(x3401,x3402)+E(f141(x3401),f141(x3402))
% 191.26/191.48 [341]~E(x3411,x3412)+E(f13(x3411,x3413),f13(x3412,x3413))
% 191.26/191.48 [342]~E(x3421,x3422)+E(f13(x3423,x3421),f13(x3423,x3422))
% 191.26/191.48 [343]~E(x3431,x3432)+E(f10(x3431,x3433),f10(x3432,x3433))
% 191.26/191.48 [344]~E(x3441,x3442)+E(f10(x3443,x3441),f10(x3443,x3442))
% 191.26/191.48 [345]~E(x3451,x3452)+E(f153(x3451,x3453,x3454,x3455),f153(x3452,x3453,x3454,x3455))
% 191.26/191.48 [346]~E(x3461,x3462)+E(f153(x3463,x3461,x3464,x3465),f153(x3463,x3462,x3464,x3465))
% 191.26/191.48 [347]~E(x3471,x3472)+E(f153(x3473,x3474,x3471,x3475),f153(x3473,x3474,x3472,x3475))
% 191.26/191.48 [348]~E(x3481,x3482)+E(f153(x3483,x3484,x3485,x3481),f153(x3483,x3484,x3485,x3482))
% 191.26/191.48 [349]~E(x3491,x3492)+E(f797(x3491,x3493,x3494,x3495),f797(x3492,x3493,x3494,x3495))
% 191.26/191.48 [350]~E(x3501,x3502)+E(f797(x3503,x3501,x3504,x3505),f797(x3503,x3502,x3504,x3505))
% 191.26/191.48 [351]~E(x3511,x3512)+E(f797(x3513,x3514,x3511,x3515),f797(x3513,x3514,x3512,x3515))
% 191.26/191.48 [352]~E(x3521,x3522)+E(f797(x3523,x3524,x3525,x3521),f797(x3523,x3524,x3525,x3522))
% 191.26/191.48 [353]~E(x3531,x3532)+E(f657(x3531,x3533,x3534,x3535),f657(x3532,x3533,x3534,x3535))
% 191.26/191.48 [354]~E(x3541,x3542)+E(f657(x3543,x3541,x3544,x3545),f657(x3543,x3542,x3544,x3545))
% 191.26/191.48 [355]~E(x3551,x3552)+E(f657(x3553,x3554,x3551,x3555),f657(x3553,x3554,x3552,x3555))
% 191.26/191.48 [356]~E(x3561,x3562)+E(f657(x3563,x3564,x3565,x3561),f657(x3563,x3564,x3565,x3562))
% 191.26/191.48 [357]~E(x3571,x3572)+E(f318(x3571,x3573),f318(x3572,x3573))
% 191.26/191.48 [358]~E(x3581,x3582)+E(f318(x3583,x3581),f318(x3583,x3582))
% 191.26/191.48 [359]~E(x3591,x3592)+E(f305(x3591,x3593,x3594),f305(x3592,x3593,x3594))
% 191.26/191.48 [360]~E(x3601,x3602)+E(f305(x3603,x3601,x3604),f305(x3603,x3602,x3604))
% 191.26/191.48 [361]~E(x3611,x3612)+E(f305(x3613,x3614,x3611),f305(x3613,x3614,x3612))
% 191.26/191.48 [362]~E(x3621,x3622)+E(f188(x3621,x3623,x3624,x3625),f188(x3622,x3623,x3624,x3625))
% 191.26/191.48 [363]~E(x3631,x3632)+E(f188(x3633,x3631,x3634,x3635),f188(x3633,x3632,x3634,x3635))
% 191.26/191.48 [364]~E(x3641,x3642)+E(f188(x3643,x3644,x3641,x3645),f188(x3643,x3644,x3642,x3645))
% 191.26/191.48 [365]~E(x3651,x3652)+E(f188(x3653,x3654,x3655,x3651),f188(x3653,x3654,x3655,x3652))
% 191.26/191.48 [366]~E(x3661,x3662)+E(f404(x3661,x3663,x3664),f404(x3662,x3663,x3664))
% 191.26/191.48 [367]~E(x3671,x3672)+E(f404(x3673,x3671,x3674),f404(x3673,x3672,x3674))
% 191.26/191.48 [368]~E(x3681,x3682)+E(f404(x3683,x3684,x3681),f404(x3683,x3684,x3682))
% 191.26/191.48 [369]~E(x3691,x3692)+E(f263(x3691,x3693,x3694,x3695,x3696,x3697),f263(x3692,x3693,x3694,x3695,x3696,x3697))
% 191.26/191.48 [370]~E(x3701,x3702)+E(f263(x3703,x3701,x3704,x3705,x3706,x3707),f263(x3703,x3702,x3704,x3705,x3706,x3707))
% 191.26/191.48 [371]~E(x3711,x3712)+E(f263(x3713,x3714,x3711,x3715,x3716,x3717),f263(x3713,x3714,x3712,x3715,x3716,x3717))
% 191.26/191.48 [372]~E(x3721,x3722)+E(f263(x3723,x3724,x3725,x3721,x3726,x3727),f263(x3723,x3724,x3725,x3722,x3726,x3727))
% 191.26/191.48 [373]~E(x3731,x3732)+E(f263(x3733,x3734,x3735,x3736,x3731,x3737),f263(x3733,x3734,x3735,x3736,x3732,x3737))
% 191.26/191.48 [374]~E(x3741,x3742)+E(f263(x3743,x3744,x3745,x3746,x3747,x3741),f263(x3743,x3744,x3745,x3746,x3747,x3742))
% 191.26/191.48 [375]~E(x3751,x3752)+E(f202(x3751,x3753,x3754,x3755),f202(x3752,x3753,x3754,x3755))
% 191.26/191.48 [376]~E(x3761,x3762)+E(f202(x3763,x3761,x3764,x3765),f202(x3763,x3762,x3764,x3765))
% 191.26/191.48 [377]~E(x3771,x3772)+E(f202(x3773,x3774,x3771,x3775),f202(x3773,x3774,x3772,x3775))
% 191.26/191.48 [378]~E(x3781,x3782)+E(f202(x3783,x3784,x3785,x3781),f202(x3783,x3784,x3785,x3782))
% 191.26/191.48 [379]~E(x3791,x3792)+E(f14(x3791,x3793),f14(x3792,x3793))
% 191.26/191.48 [380]~E(x3801,x3802)+E(f14(x3803,x3801),f14(x3803,x3802))
% 191.26/191.48 [381]~E(x3811,x3812)+E(f129(x3811,x3813),f129(x3812,x3813))
% 191.26/191.48 [382]~E(x3821,x3822)+E(f129(x3823,x3821),f129(x3823,x3822))
% 191.26/191.48 [383]~E(x3831,x3832)+E(f151(x3831,x3833,x3834),f151(x3832,x3833,x3834))
% 191.26/191.48 [384]~E(x3841,x3842)+E(f151(x3843,x3841,x3844),f151(x3843,x3842,x3844))
% 191.26/191.48 [385]~E(x3851,x3852)+E(f151(x3853,x3854,x3851),f151(x3853,x3854,x3852))
% 191.26/191.48 [386]~E(x3861,x3862)+E(f78(x3861,x3863,x3864,x3865,x3866),f78(x3862,x3863,x3864,x3865,x3866))
% 191.26/191.48 [387]~E(x3871,x3872)+E(f78(x3873,x3871,x3874,x3875,x3876),f78(x3873,x3872,x3874,x3875,x3876))
% 191.26/191.48 [388]~E(x3881,x3882)+E(f78(x3883,x3884,x3881,x3885,x3886),f78(x3883,x3884,x3882,x3885,x3886))
% 191.26/191.48 [389]~E(x3891,x3892)+E(f78(x3893,x3894,x3895,x3891,x3896),f78(x3893,x3894,x3895,x3892,x3896))
% 191.26/191.48 [390]~E(x3901,x3902)+E(f78(x3903,x3904,x3905,x3906,x3901),f78(x3903,x3904,x3905,x3906,x3902))
% 191.26/191.48 [391]~E(x3911,x3912)+E(f87(x3911,x3913),f87(x3912,x3913))
% 191.26/191.48 [392]~E(x3921,x3922)+E(f87(x3923,x3921),f87(x3923,x3922))
% 191.26/191.48 [393]~E(x3931,x3932)+E(f158(x3931,x3933,x3934),f158(x3932,x3933,x3934))
% 191.26/191.48 [394]~E(x3941,x3942)+E(f158(x3943,x3941,x3944),f158(x3943,x3942,x3944))
% 191.26/191.48 [395]~E(x3951,x3952)+E(f158(x3953,x3954,x3951),f158(x3953,x3954,x3952))
% 191.26/191.48 [396]~E(x3961,x3962)+E(f197(x3961),f197(x3962))
% 191.26/191.48 [397]~E(x3971,x3972)+E(f181(x3971,x3973),f181(x3972,x3973))
% 191.26/191.48 [398]~E(x3981,x3982)+E(f181(x3983,x3981),f181(x3983,x3982))
% 191.26/191.48 [399]~E(x3991,x3992)+E(f156(x3991,x3993),f156(x3992,x3993))
% 191.26/191.48 [400]~E(x4001,x4002)+E(f156(x4003,x4001),f156(x4003,x4002))
% 191.26/191.48 [401]~E(x4011,x4012)+E(f268(x4011,x4013),f268(x4012,x4013))
% 191.26/191.48 [402]~E(x4021,x4022)+E(f268(x4023,x4021),f268(x4023,x4022))
% 191.26/191.48 [403]~E(x4031,x4032)+E(f315(x4031,x4033,x4034,x4035),f315(x4032,x4033,x4034,x4035))
% 191.26/191.48 [404]~E(x4041,x4042)+E(f315(x4043,x4041,x4044,x4045),f315(x4043,x4042,x4044,x4045))
% 191.26/191.48 [405]~E(x4051,x4052)+E(f315(x4053,x4054,x4051,x4055),f315(x4053,x4054,x4052,x4055))
% 191.26/191.48 [406]~E(x4061,x4062)+E(f315(x4063,x4064,x4065,x4061),f315(x4063,x4064,x4065,x4062))
% 191.26/191.48 [407]~E(x4071,x4072)+E(f258(x4071,x4073,x4074,x4075,x4076),f258(x4072,x4073,x4074,x4075,x4076))
% 191.26/191.48 [408]~E(x4081,x4082)+E(f258(x4083,x4081,x4084,x4085,x4086),f258(x4083,x4082,x4084,x4085,x4086))
% 191.26/191.48 [409]~E(x4091,x4092)+E(f258(x4093,x4094,x4091,x4095,x4096),f258(x4093,x4094,x4092,x4095,x4096))
% 191.26/191.48 [410]~E(x4101,x4102)+E(f258(x4103,x4104,x4105,x4101,x4106),f258(x4103,x4104,x4105,x4102,x4106))
% 191.26/191.48 [411]~E(x4111,x4112)+E(f258(x4113,x4114,x4115,x4116,x4111),f258(x4113,x4114,x4115,x4116,x4112))
% 191.26/191.48 [412]~E(x4121,x4122)+E(f145(x4121,x4123,x4124,x4125),f145(x4122,x4123,x4124,x4125))
% 191.26/191.48 [413]~E(x4131,x4132)+E(f145(x4133,x4131,x4134,x4135),f145(x4133,x4132,x4134,x4135))
% 191.26/191.48 [414]~E(x4141,x4142)+E(f145(x4143,x4144,x4141,x4145),f145(x4143,x4144,x4142,x4145))
% 191.26/191.48 [415]~E(x4151,x4152)+E(f145(x4153,x4154,x4155,x4151),f145(x4153,x4154,x4155,x4152))
% 191.26/191.48 [416]~E(x4161,x4162)+E(f284(x4161),f284(x4162))
% 191.26/191.48 [417]~E(x4171,x4172)+E(f147(x4171,x4173),f147(x4172,x4173))
% 191.26/191.48 [418]~E(x4181,x4182)+E(f147(x4183,x4181),f147(x4183,x4182))
% 191.26/191.48 [419]~E(x4191,x4192)+E(f799(x4191,x4193,x4194),f799(x4192,x4193,x4194))
% 191.26/191.48 [420]~E(x4201,x4202)+E(f799(x4203,x4201,x4204),f799(x4203,x4202,x4204))
% 191.26/191.48 [421]~E(x4211,x4212)+E(f799(x4213,x4214,x4211),f799(x4213,x4214,x4212))
% 191.26/191.48 [422]~E(x4221,x4222)+E(f219(x4221,x4223),f219(x4222,x4223))
% 191.26/191.48 [423]~E(x4231,x4232)+E(f219(x4233,x4231),f219(x4233,x4232))
% 191.26/191.48 [424]~E(x4241,x4242)+E(f753(x4241,x4243,x4244,x4245),f753(x4242,x4243,x4244,x4245))
% 191.26/191.48 [425]~E(x4251,x4252)+E(f753(x4253,x4251,x4254,x4255),f753(x4253,x4252,x4254,x4255))
% 191.26/191.48 [426]~E(x4261,x4262)+E(f753(x4263,x4264,x4261,x4265),f753(x4263,x4264,x4262,x4265))
% 191.26/191.48 [427]~E(x4271,x4272)+E(f753(x4273,x4274,x4275,x4271),f753(x4273,x4274,x4275,x4272))
% 191.26/191.48 [428]~E(x4281,x4282)+E(f377(x4281,x4283),f377(x4282,x4283))
% 191.26/191.48 [429]~E(x4291,x4292)+E(f377(x4293,x4291),f377(x4293,x4292))
% 191.26/191.48 [430]~E(x4301,x4302)+E(f162(x4301,x4303),f162(x4302,x4303))
% 191.26/191.48 [431]~E(x4311,x4312)+E(f162(x4313,x4311),f162(x4313,x4312))
% 191.26/191.48 [432]~E(x4321,x4322)+E(f124(x4321),f124(x4322))
% 191.26/191.48 [433]~E(x4331,x4332)+E(f898(x4331,x4333,x4334),f898(x4332,x4333,x4334))
% 191.26/191.48 [434]~E(x4341,x4342)+E(f898(x4343,x4341,x4344),f898(x4343,x4342,x4344))
% 191.26/191.48 [435]~E(x4351,x4352)+E(f898(x4353,x4354,x4351),f898(x4353,x4354,x4352))
% 191.26/191.48 [436]~E(x4361,x4362)+E(f297(x4361,x4363,x4364),f297(x4362,x4363,x4364))
% 191.26/191.48 [437]~E(x4371,x4372)+E(f297(x4373,x4371,x4374),f297(x4373,x4372,x4374))
% 191.26/191.48 [438]~E(x4381,x4382)+E(f297(x4383,x4384,x4381),f297(x4383,x4384,x4382))
% 191.26/191.48 [439]~E(x4391,x4392)+E(f606(x4391,x4393,x4394,x4395,x4396),f606(x4392,x4393,x4394,x4395,x4396))
% 191.26/191.48 [440]~E(x4401,x4402)+E(f606(x4403,x4401,x4404,x4405,x4406),f606(x4403,x4402,x4404,x4405,x4406))
% 191.26/191.48 [441]~E(x4411,x4412)+E(f606(x4413,x4414,x4411,x4415,x4416),f606(x4413,x4414,x4412,x4415,x4416))
% 191.26/191.48 [442]~E(x4421,x4422)+E(f606(x4423,x4424,x4425,x4421,x4426),f606(x4423,x4424,x4425,x4422,x4426))
% 191.26/191.48 [443]~E(x4431,x4432)+E(f606(x4433,x4434,x4435,x4436,x4431),f606(x4433,x4434,x4435,x4436,x4432))
% 191.26/191.48 [444]~E(x4441,x4442)+E(f310(x4441),f310(x4442))
% 191.26/191.48 [445]~E(x4451,x4452)+E(f51(x4451,x4453),f51(x4452,x4453))
% 191.26/191.48 [446]~E(x4461,x4462)+E(f51(x4463,x4461),f51(x4463,x4462))
% 191.26/191.48 [447]~E(x4471,x4472)+E(f399(x4471,x4473),f399(x4472,x4473))
% 191.26/191.48 [448]~E(x4481,x4482)+E(f399(x4483,x4481),f399(x4483,x4482))
% 191.26/191.48 [449]~E(x4491,x4492)+E(f694(x4491,x4493,x4494,x4495),f694(x4492,x4493,x4494,x4495))
% 191.26/191.48 [450]~E(x4501,x4502)+E(f694(x4503,x4501,x4504,x4505),f694(x4503,x4502,x4504,x4505))
% 191.26/191.48 [451]~E(x4511,x4512)+E(f694(x4513,x4514,x4511,x4515),f694(x4513,x4514,x4512,x4515))
% 191.26/191.48 [452]~E(x4521,x4522)+E(f694(x4523,x4524,x4525,x4521),f694(x4523,x4524,x4525,x4522))
% 191.26/191.48 [453]~E(x4531,x4532)+E(f663(x4531,x4533),f663(x4532,x4533))
% 191.26/191.48 [454]~E(x4541,x4542)+E(f663(x4543,x4541),f663(x4543,x4542))
% 191.26/191.48 [455]~E(x4551,x4552)+E(f67(x4551,x4553,x4554,x4555,x4556),f67(x4552,x4553,x4554,x4555,x4556))
% 191.26/191.48 [456]~E(x4561,x4562)+E(f67(x4563,x4561,x4564,x4565,x4566),f67(x4563,x4562,x4564,x4565,x4566))
% 191.26/191.48 [457]~E(x4571,x4572)+E(f67(x4573,x4574,x4571,x4575,x4576),f67(x4573,x4574,x4572,x4575,x4576))
% 191.26/191.48 [458]~E(x4581,x4582)+E(f67(x4583,x4584,x4585,x4581,x4586),f67(x4583,x4584,x4585,x4582,x4586))
% 191.26/191.48 [459]~E(x4591,x4592)+E(f67(x4593,x4594,x4595,x4596,x4591),f67(x4593,x4594,x4595,x4596,x4592))
% 191.26/191.48 [460]~E(x4601,x4602)+E(f287(x4601,x4603),f287(x4602,x4603))
% 191.26/191.48 [461]~E(x4611,x4612)+E(f287(x4613,x4611),f287(x4613,x4612))
% 191.26/191.48 [462]~E(x4621,x4622)+E(f838(x4621,x4623,x4624,x4625,x4626),f838(x4622,x4623,x4624,x4625,x4626))
% 191.26/191.48 [463]~E(x4631,x4632)+E(f838(x4633,x4631,x4634,x4635,x4636),f838(x4633,x4632,x4634,x4635,x4636))
% 191.26/191.48 [464]~E(x4641,x4642)+E(f838(x4643,x4644,x4641,x4645,x4646),f838(x4643,x4644,x4642,x4645,x4646))
% 191.26/191.48 [465]~E(x4651,x4652)+E(f838(x4653,x4654,x4655,x4651,x4656),f838(x4653,x4654,x4655,x4652,x4656))
% 191.26/191.48 [466]~E(x4661,x4662)+E(f838(x4663,x4664,x4665,x4666,x4661),f838(x4663,x4664,x4665,x4666,x4662))
% 191.26/191.48 [467]~E(x4671,x4672)+E(f381(x4671,x4673,x4674),f381(x4672,x4673,x4674))
% 191.26/191.48 [468]~E(x4681,x4682)+E(f381(x4683,x4681,x4684),f381(x4683,x4682,x4684))
% 191.26/191.48 [469]~E(x4691,x4692)+E(f381(x4693,x4694,x4691),f381(x4693,x4694,x4692))
% 191.26/191.48 [470]~E(x4701,x4702)+E(f641(x4701,x4703,x4704),f641(x4702,x4703,x4704))
% 191.26/191.48 [471]~E(x4711,x4712)+E(f641(x4713,x4711,x4714),f641(x4713,x4712,x4714))
% 191.26/191.48 [472]~E(x4721,x4722)+E(f641(x4723,x4724,x4721),f641(x4723,x4724,x4722))
% 191.26/191.48 [473]~E(x4731,x4732)+E(f182(x4731,x4733),f182(x4732,x4733))
% 191.26/191.48 [474]~E(x4741,x4742)+E(f182(x4743,x4741),f182(x4743,x4742))
% 191.26/191.48 [475]~E(x4751,x4752)+E(f618(x4751,x4753,x4754,x4755),f618(x4752,x4753,x4754,x4755))
% 191.26/191.48 [476]~E(x4761,x4762)+E(f618(x4763,x4761,x4764,x4765),f618(x4763,x4762,x4764,x4765))
% 191.26/191.48 [477]~E(x4771,x4772)+E(f618(x4773,x4774,x4771,x4775),f618(x4773,x4774,x4772,x4775))
% 191.26/191.48 [478]~E(x4781,x4782)+E(f618(x4783,x4784,x4785,x4781),f618(x4783,x4784,x4785,x4782))
% 191.26/191.48 [479]~E(x4791,x4792)+E(f56(x4791,x4793,x4794),f56(x4792,x4793,x4794))
% 191.26/191.48 [480]~E(x4801,x4802)+E(f56(x4803,x4801,x4804),f56(x4803,x4802,x4804))
% 191.26/191.48 [481]~E(x4811,x4812)+E(f56(x4813,x4814,x4811),f56(x4813,x4814,x4812))
% 191.26/191.48 [482]~E(x4821,x4822)+E(f93(x4821),f93(x4822))
% 191.26/191.48 [483]~E(x4831,x4832)+E(f48(x4831,x4833),f48(x4832,x4833))
% 191.26/191.48 [484]~E(x4841,x4842)+E(f48(x4843,x4841),f48(x4843,x4842))
% 191.26/191.48 [485]~E(x4851,x4852)+E(f100(x4851,x4853),f100(x4852,x4853))
% 191.26/191.48 [486]~E(x4861,x4862)+E(f100(x4863,x4861),f100(x4863,x4862))
% 191.26/191.48 [487]~E(x4871,x4872)+E(f29(x4871,x4873,x4874),f29(x4872,x4873,x4874))
% 191.26/191.48 [488]~E(x4881,x4882)+E(f29(x4883,x4881,x4884),f29(x4883,x4882,x4884))
% 191.26/191.48 [489]~E(x4891,x4892)+E(f29(x4893,x4894,x4891),f29(x4893,x4894,x4892))
% 191.26/191.48 [490]~E(x4901,x4902)+E(f352(x4901),f352(x4902))
% 191.26/191.48 [491]~E(x4911,x4912)+E(f316(x4911),f316(x4912))
% 191.26/191.48 [492]~E(x4921,x4922)+E(f313(x4921,x4923,x4924),f313(x4922,x4923,x4924))
% 191.26/191.48 [493]~E(x4931,x4932)+E(f313(x4933,x4931,x4934),f313(x4933,x4932,x4934))
% 191.26/191.48 [494]~E(x4941,x4942)+E(f313(x4943,x4944,x4941),f313(x4943,x4944,x4942))
% 191.26/191.48 [495]~E(x4951,x4952)+E(f430(x4951,x4953),f430(x4952,x4953))
% 191.26/191.48 [496]~E(x4961,x4962)+E(f430(x4963,x4961),f430(x4963,x4962))
% 191.26/191.48 [497]~E(x4971,x4972)+E(f459(x4971,x4973,x4974,x4975,x4976),f459(x4972,x4973,x4974,x4975,x4976))
% 191.26/191.48 [498]~E(x4981,x4982)+E(f459(x4983,x4981,x4984,x4985,x4986),f459(x4983,x4982,x4984,x4985,x4986))
% 191.26/191.48 [499]~E(x4991,x4992)+E(f459(x4993,x4994,x4991,x4995,x4996),f459(x4993,x4994,x4992,x4995,x4996))
% 191.26/191.48 [500]~E(x5001,x5002)+E(f459(x5003,x5004,x5005,x5001,x5006),f459(x5003,x5004,x5005,x5002,x5006))
% 191.26/191.48 [501]~E(x5011,x5012)+E(f459(x5013,x5014,x5015,x5016,x5011),f459(x5013,x5014,x5015,x5016,x5012))
% 191.26/191.48 [502]~E(x5021,x5022)+E(f216(x5021),f216(x5022))
% 191.26/191.48 [503]~E(x5031,x5032)+E(f371(x5031,x5033,x5034),f371(x5032,x5033,x5034))
% 191.26/191.48 [504]~E(x5041,x5042)+E(f371(x5043,x5041,x5044),f371(x5043,x5042,x5044))
% 191.26/191.48 [505]~E(x5051,x5052)+E(f371(x5053,x5054,x5051),f371(x5053,x5054,x5052))
% 191.26/191.48 [506]~E(x5061,x5062)+E(f378(x5061,x5063),f378(x5062,x5063))
% 191.26/191.48 [507]~E(x5071,x5072)+E(f378(x5073,x5071),f378(x5073,x5072))
% 191.26/191.48 [508]~E(x5081,x5082)+E(f254(x5081,x5083,x5084),f254(x5082,x5083,x5084))
% 191.26/191.48 [509]~E(x5091,x5092)+E(f254(x5093,x5091,x5094),f254(x5093,x5092,x5094))
% 191.26/191.48 [510]~E(x5101,x5102)+E(f254(x5103,x5104,x5101),f254(x5103,x5104,x5102))
% 191.26/191.48 [511]~E(x5111,x5112)+E(f405(x5111,x5113,x5114),f405(x5112,x5113,x5114))
% 191.26/191.48 [512]~E(x5121,x5122)+E(f405(x5123,x5121,x5124),f405(x5123,x5122,x5124))
% 191.26/191.48 [513]~E(x5131,x5132)+E(f405(x5133,x5134,x5131),f405(x5133,x5134,x5132))
% 191.26/191.48 [514]~E(x5141,x5142)+E(f829(x5141,x5143),f829(x5142,x5143))
% 191.26/191.48 [515]~E(x5151,x5152)+E(f829(x5153,x5151),f829(x5153,x5152))
% 191.26/191.48 [516]~E(x5161,x5162)+E(f777(x5161,x5163,x5164),f777(x5162,x5163,x5164))
% 191.26/191.48 [517]~E(x5171,x5172)+E(f777(x5173,x5171,x5174),f777(x5173,x5172,x5174))
% 191.26/191.48 [518]~E(x5181,x5182)+E(f777(x5183,x5184,x5181),f777(x5183,x5184,x5182))
% 191.26/191.48 [519]~E(x5191,x5192)+E(f66(x5191,x5193,x5194),f66(x5192,x5193,x5194))
% 191.26/191.48 [520]~E(x5201,x5202)+E(f66(x5203,x5201,x5204),f66(x5203,x5202,x5204))
% 191.26/191.48 [521]~E(x5211,x5212)+E(f66(x5213,x5214,x5211),f66(x5213,x5214,x5212))
% 191.26/191.48 [522]~E(x5221,x5222)+E(f198(x5221,x5223),f198(x5222,x5223))
% 191.26/191.48 [523]~E(x5231,x5232)+E(f198(x5233,x5231),f198(x5233,x5232))
% 191.26/191.48 [524]~E(x5241,x5242)+E(f704(x5241,x5243,x5244,x5245),f704(x5242,x5243,x5244,x5245))
% 191.26/191.48 [525]~E(x5251,x5252)+E(f704(x5253,x5251,x5254,x5255),f704(x5253,x5252,x5254,x5255))
% 191.26/191.48 [526]~E(x5261,x5262)+E(f704(x5263,x5264,x5261,x5265),f704(x5263,x5264,x5262,x5265))
% 191.26/191.48 [527]~E(x5271,x5272)+E(f704(x5273,x5274,x5275,x5271),f704(x5273,x5274,x5275,x5272))
% 191.26/191.48 [528]~E(x5281,x5282)+E(f286(x5281),f286(x5282))
% 191.26/191.48 [529]~E(x5291,x5292)+E(f899(x5291,x5293,x5294),f899(x5292,x5293,x5294))
% 191.26/191.48 [530]~E(x5301,x5302)+E(f899(x5303,x5301,x5304),f899(x5303,x5302,x5304))
% 191.26/191.48 [531]~E(x5311,x5312)+E(f899(x5313,x5314,x5311),f899(x5313,x5314,x5312))
% 191.26/191.48 [532]~E(x5321,x5322)+E(f671(x5321,x5323,x5324,x5325,x5326,x5327),f671(x5322,x5323,x5324,x5325,x5326,x5327))
% 191.26/191.48 [533]~E(x5331,x5332)+E(f671(x5333,x5331,x5334,x5335,x5336,x5337),f671(x5333,x5332,x5334,x5335,x5336,x5337))
% 191.26/191.48 [534]~E(x5341,x5342)+E(f671(x5343,x5344,x5341,x5345,x5346,x5347),f671(x5343,x5344,x5342,x5345,x5346,x5347))
% 191.26/191.48 [535]~E(x5351,x5352)+E(f671(x5353,x5354,x5355,x5351,x5356,x5357),f671(x5353,x5354,x5355,x5352,x5356,x5357))
% 191.26/191.48 [536]~E(x5361,x5362)+E(f671(x5363,x5364,x5365,x5366,x5361,x5367),f671(x5363,x5364,x5365,x5366,x5362,x5367))
% 191.26/191.48 [537]~E(x5371,x5372)+E(f671(x5373,x5374,x5375,x5376,x5377,x5371),f671(x5373,x5374,x5375,x5376,x5377,x5372))
% 191.26/191.48 [538]~E(x5381,x5382)+E(f391(x5381,x5383,x5384,x5385,x5386),f391(x5382,x5383,x5384,x5385,x5386))
% 191.26/191.48 [539]~E(x5391,x5392)+E(f391(x5393,x5391,x5394,x5395,x5396),f391(x5393,x5392,x5394,x5395,x5396))
% 191.26/191.48 [540]~E(x5401,x5402)+E(f391(x5403,x5404,x5401,x5405,x5406),f391(x5403,x5404,x5402,x5405,x5406))
% 191.26/191.48 [541]~E(x5411,x5412)+E(f391(x5413,x5414,x5415,x5411,x5416),f391(x5413,x5414,x5415,x5412,x5416))
% 191.26/191.48 [542]~E(x5421,x5422)+E(f391(x5423,x5424,x5425,x5426,x5421),f391(x5423,x5424,x5425,x5426,x5422))
% 191.26/191.48 [543]~E(x5431,x5432)+E(f220(x5431,x5433),f220(x5432,x5433))
% 191.26/191.48 [544]~E(x5441,x5442)+E(f220(x5443,x5441),f220(x5443,x5442))
% 191.26/191.48 [545]~E(x5451,x5452)+E(f658(x5451,x5453,x5454,x5455),f658(x5452,x5453,x5454,x5455))
% 191.26/191.48 [546]~E(x5461,x5462)+E(f658(x5463,x5461,x5464,x5465),f658(x5463,x5462,x5464,x5465))
% 191.26/191.48 [547]~E(x5471,x5472)+E(f658(x5473,x5474,x5471,x5475),f658(x5473,x5474,x5472,x5475))
% 191.26/191.48 [548]~E(x5481,x5482)+E(f658(x5483,x5484,x5485,x5481),f658(x5483,x5484,x5485,x5482))
% 191.26/191.48 [549]~E(x5491,x5492)+E(f667(x5491,x5493,x5494,x5495,x5496,x5497),f667(x5492,x5493,x5494,x5495,x5496,x5497))
% 191.26/191.48 [550]~E(x5501,x5502)+E(f667(x5503,x5501,x5504,x5505,x5506,x5507),f667(x5503,x5502,x5504,x5505,x5506,x5507))
% 191.26/191.48 [551]~E(x5511,x5512)+E(f667(x5513,x5514,x5511,x5515,x5516,x5517),f667(x5513,x5514,x5512,x5515,x5516,x5517))
% 191.26/191.48 [552]~E(x5521,x5522)+E(f667(x5523,x5524,x5525,x5521,x5526,x5527),f667(x5523,x5524,x5525,x5522,x5526,x5527))
% 191.26/191.48 [553]~E(x5531,x5532)+E(f667(x5533,x5534,x5535,x5536,x5531,x5537),f667(x5533,x5534,x5535,x5536,x5532,x5537))
% 191.26/191.48 [554]~E(x5541,x5542)+E(f667(x5543,x5544,x5545,x5546,x5547,x5541),f667(x5543,x5544,x5545,x5546,x5547,x5542))
% 191.26/191.48 [555]~E(x5551,x5552)+E(f370(x5551,x5553,x5554),f370(x5552,x5553,x5554))
% 191.26/191.48 [556]~E(x5561,x5562)+E(f370(x5563,x5561,x5564),f370(x5563,x5562,x5564))
% 191.26/191.48 [557]~E(x5571,x5572)+E(f370(x5573,x5574,x5571),f370(x5573,x5574,x5572))
% 191.26/191.48 [558]~E(x5581,x5582)+E(f708(x5581,x5583,x5584,x5585,x5586),f708(x5582,x5583,x5584,x5585,x5586))
% 191.26/191.48 [559]~E(x5591,x5592)+E(f708(x5593,x5591,x5594,x5595,x5596),f708(x5593,x5592,x5594,x5595,x5596))
% 191.26/191.49 [560]~E(x5601,x5602)+E(f708(x5603,x5604,x5601,x5605,x5606),f708(x5603,x5604,x5602,x5605,x5606))
% 191.26/191.49 [561]~E(x5611,x5612)+E(f708(x5613,x5614,x5615,x5611,x5616),f708(x5613,x5614,x5615,x5612,x5616))
% 191.26/191.49 [562]~E(x5621,x5622)+E(f708(x5623,x5624,x5625,x5626,x5621),f708(x5623,x5624,x5625,x5626,x5622))
% 191.26/191.49 [563]~E(x5631,x5632)+E(f173(x5631,x5633,x5634),f173(x5632,x5633,x5634))
% 191.26/191.49 [564]~E(x5641,x5642)+E(f173(x5643,x5641,x5644),f173(x5643,x5642,x5644))
% 191.26/191.49 [565]~E(x5651,x5652)+E(f173(x5653,x5654,x5651),f173(x5653,x5654,x5652))
% 191.26/191.49 [566]~E(x5661,x5662)+E(f722(x5661,x5663,x5664),f722(x5662,x5663,x5664))
% 191.26/191.49 [567]~E(x5671,x5672)+E(f722(x5673,x5671,x5674),f722(x5673,x5672,x5674))
% 191.26/191.49 [568]~E(x5681,x5682)+E(f722(x5683,x5684,x5681),f722(x5683,x5684,x5682))
% 191.26/191.49 [569]~E(x5691,x5692)+E(f308(x5691,x5693,x5694),f308(x5692,x5693,x5694))
% 191.26/191.49 [570]~E(x5701,x5702)+E(f308(x5703,x5701,x5704),f308(x5703,x5702,x5704))
% 191.26/191.49 [571]~E(x5711,x5712)+E(f308(x5713,x5714,x5711),f308(x5713,x5714,x5712))
% 191.26/191.49 [572]~E(x5721,x5722)+E(f166(x5721,x5723,x5724,x5725),f166(x5722,x5723,x5724,x5725))
% 191.26/191.49 [573]~E(x5731,x5732)+E(f166(x5733,x5731,x5734,x5735),f166(x5733,x5732,x5734,x5735))
% 191.26/191.49 [574]~E(x5741,x5742)+E(f166(x5743,x5744,x5741,x5745),f166(x5743,x5744,x5742,x5745))
% 191.26/191.49 [575]~E(x5751,x5752)+E(f166(x5753,x5754,x5755,x5751),f166(x5753,x5754,x5755,x5752))
% 191.26/191.49 [576]~E(x5761,x5762)+E(f354(x5761,x5763,x5764),f354(x5762,x5763,x5764))
% 191.26/191.49 [577]~E(x5771,x5772)+E(f354(x5773,x5771,x5774),f354(x5773,x5772,x5774))
% 191.26/191.49 [578]~E(x5781,x5782)+E(f354(x5783,x5784,x5781),f354(x5783,x5784,x5782))
% 191.26/191.49 [579]~E(x5791,x5792)+E(f486(x5791,x5793,x5794,x5795),f486(x5792,x5793,x5794,x5795))
% 191.26/191.49 [580]~E(x5801,x5802)+E(f486(x5803,x5801,x5804,x5805),f486(x5803,x5802,x5804,x5805))
% 191.26/191.49 [581]~E(x5811,x5812)+E(f486(x5813,x5814,x5811,x5815),f486(x5813,x5814,x5812,x5815))
% 191.26/191.49 [582]~E(x5821,x5822)+E(f486(x5823,x5824,x5825,x5821),f486(x5823,x5824,x5825,x5822))
% 191.26/191.49 [583]~E(x5831,x5832)+E(f839(x5831,x5833,x5834,x5835,x5836,x5837),f839(x5832,x5833,x5834,x5835,x5836,x5837))
% 191.26/191.49 [584]~E(x5841,x5842)+E(f839(x5843,x5841,x5844,x5845,x5846,x5847),f839(x5843,x5842,x5844,x5845,x5846,x5847))
% 191.26/191.49 [585]~E(x5851,x5852)+E(f839(x5853,x5854,x5851,x5855,x5856,x5857),f839(x5853,x5854,x5852,x5855,x5856,x5857))
% 191.26/191.49 [586]~E(x5861,x5862)+E(f839(x5863,x5864,x5865,x5861,x5866,x5867),f839(x5863,x5864,x5865,x5862,x5866,x5867))
% 191.26/191.49 [587]~E(x5871,x5872)+E(f839(x5873,x5874,x5875,x5876,x5871,x5877),f839(x5873,x5874,x5875,x5876,x5872,x5877))
% 191.26/191.49 [588]~E(x5881,x5882)+E(f839(x5883,x5884,x5885,x5886,x5887,x5881),f839(x5883,x5884,x5885,x5886,x5887,x5882))
% 191.26/191.49 [589]~E(x5891,x5892)+E(f401(x5891,x5893),f401(x5892,x5893))
% 191.26/191.49 [590]~E(x5901,x5902)+E(f401(x5903,x5901),f401(x5903,x5902))
% 191.26/191.49 [591]~E(x5911,x5912)+E(f666(x5911,x5913,x5914,x5915,x5916,x5917),f666(x5912,x5913,x5914,x5915,x5916,x5917))
% 191.26/191.49 [592]~E(x5921,x5922)+E(f666(x5923,x5921,x5924,x5925,x5926,x5927),f666(x5923,x5922,x5924,x5925,x5926,x5927))
% 191.26/191.49 [593]~E(x5931,x5932)+E(f666(x5933,x5934,x5931,x5935,x5936,x5937),f666(x5933,x5934,x5932,x5935,x5936,x5937))
% 191.26/191.49 [594]~E(x5941,x5942)+E(f666(x5943,x5944,x5945,x5941,x5946,x5947),f666(x5943,x5944,x5945,x5942,x5946,x5947))
% 191.26/191.49 [595]~E(x5951,x5952)+E(f666(x5953,x5954,x5955,x5956,x5951,x5957),f666(x5953,x5954,x5955,x5956,x5952,x5957))
% 191.26/191.49 [596]~E(x5961,x5962)+E(f666(x5963,x5964,x5965,x5966,x5967,x5961),f666(x5963,x5964,x5965,x5966,x5967,x5962))
% 191.26/191.49 [597]~E(x5971,x5972)+E(f664(x5971,x5973,x5974,x5975,x5976),f664(x5972,x5973,x5974,x5975,x5976))
% 191.26/191.49 [598]~E(x5981,x5982)+E(f664(x5983,x5981,x5984,x5985,x5986),f664(x5983,x5982,x5984,x5985,x5986))
% 191.26/191.49 [599]~E(x5991,x5992)+E(f664(x5993,x5994,x5991,x5995,x5996),f664(x5993,x5994,x5992,x5995,x5996))
% 191.26/191.49 [600]~E(x6001,x6002)+E(f664(x6003,x6004,x6005,x6001,x6006),f664(x6003,x6004,x6005,x6002,x6006))
% 191.26/191.49 [601]~E(x6011,x6012)+E(f664(x6013,x6014,x6015,x6016,x6011),f664(x6013,x6014,x6015,x6016,x6012))
% 191.26/191.49 [602]~E(x6021,x6022)+E(f498(x6021,x6023,x6024),f498(x6022,x6023,x6024))
% 191.26/191.49 [603]~E(x6031,x6032)+E(f498(x6033,x6031,x6034),f498(x6033,x6032,x6034))
% 191.26/191.49 [604]~E(x6041,x6042)+E(f498(x6043,x6044,x6041),f498(x6043,x6044,x6042))
% 191.26/191.49 [605]~E(x6051,x6052)+E(f659(x6051,x6053,x6054),f659(x6052,x6053,x6054))
% 191.26/191.49 [606]~E(x6061,x6062)+E(f659(x6063,x6061,x6064),f659(x6063,x6062,x6064))
% 191.26/191.49 [607]~E(x6071,x6072)+E(f659(x6073,x6074,x6071),f659(x6073,x6074,x6072))
% 191.26/191.49 [608]~E(x6081,x6082)+E(f49(x6081,x6083),f49(x6082,x6083))
% 191.26/191.49 [609]~E(x6091,x6092)+E(f49(x6093,x6091),f49(x6093,x6092))
% 191.26/191.49 [610]~E(x6101,x6102)+E(f426(x6101,x6103),f426(x6102,x6103))
% 191.26/191.49 [611]~E(x6111,x6112)+E(f426(x6113,x6111),f426(x6113,x6112))
% 191.26/191.49 [612]~E(x6121,x6122)+E(f142(x6121,x6123),f142(x6122,x6123))
% 191.26/191.49 [613]~E(x6131,x6132)+E(f142(x6133,x6131),f142(x6133,x6132))
% 191.26/191.49 [614]~E(x6141,x6142)+E(f94(x6141,x6143,x6144,x6145),f94(x6142,x6143,x6144,x6145))
% 191.26/191.49 [615]~E(x6151,x6152)+E(f94(x6153,x6151,x6154,x6155),f94(x6153,x6152,x6154,x6155))
% 191.26/191.49 [616]~E(x6161,x6162)+E(f94(x6163,x6164,x6161,x6165),f94(x6163,x6164,x6162,x6165))
% 191.26/191.49 [617]~E(x6171,x6172)+E(f94(x6173,x6174,x6175,x6171),f94(x6173,x6174,x6175,x6172))
% 191.26/191.49 [618]~E(x6181,x6182)+E(f886(x6181,x6183,x6184),f886(x6182,x6183,x6184))
% 191.26/191.49 [619]~E(x6191,x6192)+E(f886(x6193,x6191,x6194),f886(x6193,x6192,x6194))
% 191.26/191.49 [620]~E(x6201,x6202)+E(f886(x6203,x6204,x6201),f886(x6203,x6204,x6202))
% 191.26/191.49 [621]~E(x6211,x6212)+E(f88(x6211,x6213),f88(x6212,x6213))
% 191.26/191.49 [622]~E(x6221,x6222)+E(f88(x6223,x6221),f88(x6223,x6222))
% 191.26/191.49 [623]~E(x6231,x6232)+E(f649(x6231,x6233,x6234),f649(x6232,x6233,x6234))
% 191.26/191.49 [624]~E(x6241,x6242)+E(f649(x6243,x6241,x6244),f649(x6243,x6242,x6244))
% 191.26/191.49 [625]~E(x6251,x6252)+E(f649(x6253,x6254,x6251),f649(x6253,x6254,x6252))
% 191.26/191.49 [626]~E(x6261,x6262)+E(f455(x6261,x6263,x6264,x6265,x6266,x6267),f455(x6262,x6263,x6264,x6265,x6266,x6267))
% 191.26/191.49 [627]~E(x6271,x6272)+E(f455(x6273,x6271,x6274,x6275,x6276,x6277),f455(x6273,x6272,x6274,x6275,x6276,x6277))
% 191.26/191.49 [628]~E(x6281,x6282)+E(f455(x6283,x6284,x6281,x6285,x6286,x6287),f455(x6283,x6284,x6282,x6285,x6286,x6287))
% 191.26/191.49 [629]~E(x6291,x6292)+E(f455(x6293,x6294,x6295,x6291,x6296,x6297),f455(x6293,x6294,x6295,x6292,x6296,x6297))
% 191.26/191.49 [630]~E(x6301,x6302)+E(f455(x6303,x6304,x6305,x6306,x6301,x6307),f455(x6303,x6304,x6305,x6306,x6302,x6307))
% 191.26/191.49 [631]~E(x6311,x6312)+E(f455(x6313,x6314,x6315,x6316,x6317,x6311),f455(x6313,x6314,x6315,x6316,x6317,x6312))
% 191.26/191.49 [632]~E(x6321,x6322)+E(f642(x6321,x6323,x6324),f642(x6322,x6323,x6324))
% 191.26/191.49 [633]~E(x6331,x6332)+E(f642(x6333,x6331,x6334),f642(x6333,x6332,x6334))
% 191.26/191.49 [634]~E(x6341,x6342)+E(f642(x6343,x6344,x6341),f642(x6343,x6344,x6342))
% 191.26/191.49 [635]~E(x6351,x6352)+E(f622(x6351,x6353,x6354,x6355,x6356),f622(x6352,x6353,x6354,x6355,x6356))
% 191.26/191.49 [636]~E(x6361,x6362)+E(f622(x6363,x6361,x6364,x6365,x6366),f622(x6363,x6362,x6364,x6365,x6366))
% 191.26/191.49 [637]~E(x6371,x6372)+E(f622(x6373,x6374,x6371,x6375,x6376),f622(x6373,x6374,x6372,x6375,x6376))
% 191.26/191.49 [638]~E(x6381,x6382)+E(f622(x6383,x6384,x6385,x6381,x6386),f622(x6383,x6384,x6385,x6382,x6386))
% 191.26/191.49 [639]~E(x6391,x6392)+E(f622(x6393,x6394,x6395,x6396,x6391),f622(x6393,x6394,x6395,x6396,x6392))
% 191.26/191.49 [640]~E(x6401,x6402)+E(f347(x6401),f347(x6402))
% 191.26/191.49 [641]~E(x6411,x6412)+E(f374(x6411,x6413,x6414),f374(x6412,x6413,x6414))
% 191.26/191.49 [642]~E(x6421,x6422)+E(f374(x6423,x6421,x6424),f374(x6423,x6422,x6424))
% 191.26/191.49 [643]~E(x6431,x6432)+E(f374(x6433,x6434,x6431),f374(x6433,x6434,x6432))
% 191.26/191.49 [644]~E(x6441,x6442)+E(f845(x6441,x6443,x6444),f845(x6442,x6443,x6444))
% 191.26/191.49 [645]~E(x6451,x6452)+E(f845(x6453,x6451,x6454),f845(x6453,x6452,x6454))
% 191.26/191.49 [646]~E(x6461,x6462)+E(f845(x6463,x6464,x6461),f845(x6463,x6464,x6462))
% 191.26/191.49 [647]~E(x6471,x6472)+E(f556(x6471,x6473,x6474,x6475),f556(x6472,x6473,x6474,x6475))
% 191.26/191.49 [648]~E(x6481,x6482)+E(f556(x6483,x6481,x6484,x6485),f556(x6483,x6482,x6484,x6485))
% 191.26/191.49 [649]~E(x6491,x6492)+E(f556(x6493,x6494,x6491,x6495),f556(x6493,x6494,x6492,x6495))
% 191.26/191.49 [650]~E(x6501,x6502)+E(f556(x6503,x6504,x6505,x6501),f556(x6503,x6504,x6505,x6502))
% 191.26/191.49 [651]~E(x6511,x6512)+E(f885(x6511,x6513,x6514,x6515,x6516,x6517,x6518),f885(x6512,x6513,x6514,x6515,x6516,x6517,x6518))
% 191.26/191.49 [652]~E(x6521,x6522)+E(f885(x6523,x6521,x6524,x6525,x6526,x6527,x6528),f885(x6523,x6522,x6524,x6525,x6526,x6527,x6528))
% 191.26/191.49 [653]~E(x6531,x6532)+E(f885(x6533,x6534,x6531,x6535,x6536,x6537,x6538),f885(x6533,x6534,x6532,x6535,x6536,x6537,x6538))
% 191.26/191.49 [654]~E(x6541,x6542)+E(f885(x6543,x6544,x6545,x6541,x6546,x6547,x6548),f885(x6543,x6544,x6545,x6542,x6546,x6547,x6548))
% 191.26/191.49 [655]~E(x6551,x6552)+E(f885(x6553,x6554,x6555,x6556,x6551,x6557,x6558),f885(x6553,x6554,x6555,x6556,x6552,x6557,x6558))
% 191.26/191.49 [656]~E(x6561,x6562)+E(f885(x6563,x6564,x6565,x6566,x6567,x6561,x6568),f885(x6563,x6564,x6565,x6566,x6567,x6562,x6568))
% 191.26/191.49 [657]~E(x6571,x6572)+E(f885(x6573,x6574,x6575,x6576,x6577,x6578,x6571),f885(x6573,x6574,x6575,x6576,x6577,x6578,x6572))
% 191.26/191.49 [658]~E(x6581,x6582)+E(f785(x6581,x6583,x6584),f785(x6582,x6583,x6584))
% 191.26/191.49 [659]~E(x6591,x6592)+E(f785(x6593,x6591,x6594),f785(x6593,x6592,x6594))
% 191.26/191.49 [660]~E(x6601,x6602)+E(f785(x6603,x6604,x6601),f785(x6603,x6604,x6602))
% 191.26/191.49 [661]~E(x6611,x6612)+E(f637(x6611,x6613,x6614),f637(x6612,x6613,x6614))
% 191.26/191.49 [662]~E(x6621,x6622)+E(f637(x6623,x6621,x6624),f637(x6623,x6622,x6624))
% 191.26/191.49 [663]~E(x6631,x6632)+E(f637(x6633,x6634,x6631),f637(x6633,x6634,x6632))
% 191.26/191.49 [664]~E(x6641,x6642)+E(f855(x6641,x6643,x6644),f855(x6642,x6643,x6644))
% 191.26/191.49 [665]~E(x6651,x6652)+E(f855(x6653,x6651,x6654),f855(x6653,x6652,x6654))
% 191.26/191.49 [666]~E(x6661,x6662)+E(f855(x6663,x6664,x6661),f855(x6663,x6664,x6662))
% 191.26/191.49 [667]~E(x6671,x6672)+E(f853(x6671,x6673,x6674),f853(x6672,x6673,x6674))
% 191.26/191.49 [668]~E(x6681,x6682)+E(f853(x6683,x6681,x6684),f853(x6683,x6682,x6684))
% 191.26/191.49 [669]~E(x6691,x6692)+E(f853(x6693,x6694,x6691),f853(x6693,x6694,x6692))
% 191.26/191.49 [670]~E(x6701,x6702)+E(f79(x6701,x6703,x6704,x6705),f79(x6702,x6703,x6704,x6705))
% 191.26/191.49 [671]~E(x6711,x6712)+E(f79(x6713,x6711,x6714,x6715),f79(x6713,x6712,x6714,x6715))
% 191.26/191.49 [672]~E(x6721,x6722)+E(f79(x6723,x6724,x6721,x6725),f79(x6723,x6724,x6722,x6725))
% 191.26/191.49 [673]~E(x6731,x6732)+E(f79(x6733,x6734,x6735,x6731),f79(x6733,x6734,x6735,x6732))
% 191.26/191.49 [674]~E(x6741,x6742)+E(f850(x6741,x6743,x6744),f850(x6742,x6743,x6744))
% 191.26/191.49 [675]~E(x6751,x6752)+E(f850(x6753,x6751,x6754),f850(x6753,x6752,x6754))
% 191.26/191.49 [676]~E(x6761,x6762)+E(f850(x6763,x6764,x6761),f850(x6763,x6764,x6762))
% 191.26/191.49 [677]~E(x6771,x6772)+E(f701(x6771,x6773,x6774),f701(x6772,x6773,x6774))
% 191.26/191.49 [678]~E(x6781,x6782)+E(f701(x6783,x6781,x6784),f701(x6783,x6782,x6784))
% 191.26/191.49 [679]~E(x6791,x6792)+E(f701(x6793,x6794,x6791),f701(x6793,x6794,x6792))
% 191.26/191.49 [680]~E(x6801,x6802)+E(f99(x6801),f99(x6802))
% 191.26/191.49 [681]~E(x6811,x6812)+E(f859(x6811,x6813,x6814,x6815),f859(x6812,x6813,x6814,x6815))
% 191.26/191.49 [682]~E(x6821,x6822)+E(f859(x6823,x6821,x6824,x6825),f859(x6823,x6822,x6824,x6825))
% 191.26/191.49 [683]~E(x6831,x6832)+E(f859(x6833,x6834,x6831,x6835),f859(x6833,x6834,x6832,x6835))
% 191.26/191.49 [684]~E(x6841,x6842)+E(f859(x6843,x6844,x6845,x6841),f859(x6843,x6844,x6845,x6842))
% 191.26/191.49 [685]~E(x6851,x6852)+E(f123(x6851,x6853,x6854),f123(x6852,x6853,x6854))
% 191.26/191.49 [686]~E(x6861,x6862)+E(f123(x6863,x6861,x6864),f123(x6863,x6862,x6864))
% 191.26/191.49 [687]~E(x6871,x6872)+E(f123(x6873,x6874,x6871),f123(x6873,x6874,x6872))
% 191.26/191.49 [688]~E(x6881,x6882)+E(f684(x6881,x6883,x6884),f684(x6882,x6883,x6884))
% 191.26/191.49 [689]~E(x6891,x6892)+E(f684(x6893,x6891,x6894),f684(x6893,x6892,x6894))
% 191.26/191.49 [690]~E(x6901,x6902)+E(f684(x6903,x6904,x6901),f684(x6903,x6904,x6902))
% 191.26/191.49 [691]~E(x6911,x6912)+E(f64(x6911,x6913),f64(x6912,x6913))
% 191.26/191.49 [692]~E(x6921,x6922)+E(f64(x6923,x6921),f64(x6923,x6922))
% 191.26/191.49 [693]~E(x6931,x6932)+E(f28(x6931,x6933,x6934),f28(x6932,x6933,x6934))
% 191.26/191.49 [694]~E(x6941,x6942)+E(f28(x6943,x6941,x6944),f28(x6943,x6942,x6944))
% 191.26/191.49 [695]~E(x6951,x6952)+E(f28(x6953,x6954,x6951),f28(x6953,x6954,x6952))
% 191.26/191.49 [696]~E(x6961,x6962)+E(f688(x6961,x6963,x6964),f688(x6962,x6963,x6964))
% 191.26/191.49 [697]~E(x6971,x6972)+E(f688(x6973,x6971,x6974),f688(x6973,x6972,x6974))
% 191.26/191.49 [698]~E(x6981,x6982)+E(f688(x6983,x6984,x6981),f688(x6983,x6984,x6982))
% 191.26/191.49 [699]~E(x6991,x6992)+E(f253(x6991,x6993),f253(x6992,x6993))
% 191.26/191.49 [700]~E(x7001,x7002)+E(f253(x7003,x7001),f253(x7003,x7002))
% 191.26/191.49 [701]~E(x7011,x7012)+E(f583(x7011,x7013,x7014),f583(x7012,x7013,x7014))
% 191.26/191.49 [702]~E(x7021,x7022)+E(f583(x7023,x7021,x7024),f583(x7023,x7022,x7024))
% 191.26/191.49 [703]~E(x7031,x7032)+E(f583(x7033,x7034,x7031),f583(x7033,x7034,x7032))
% 191.26/191.49 [704]~E(x7041,x7042)+E(f144(x7041),f144(x7042))
% 191.26/191.49 [705]~E(x7051,x7052)+E(f802(x7051,x7053,x7054,x7055),f802(x7052,x7053,x7054,x7055))
% 191.26/191.49 [706]~E(x7061,x7062)+E(f802(x7063,x7061,x7064,x7065),f802(x7063,x7062,x7064,x7065))
% 191.26/191.49 [707]~E(x7071,x7072)+E(f802(x7073,x7074,x7071,x7075),f802(x7073,x7074,x7072,x7075))
% 191.26/191.49 [708]~E(x7081,x7082)+E(f802(x7083,x7084,x7085,x7081),f802(x7083,x7084,x7085,x7082))
% 191.26/191.49 [709]~E(x7091,x7092)+E(f569(x7091,x7093,x7094),f569(x7092,x7093,x7094))
% 191.26/191.49 [710]~E(x7101,x7102)+E(f569(x7103,x7101,x7104),f569(x7103,x7102,x7104))
% 191.26/191.49 [711]~E(x7111,x7112)+E(f569(x7113,x7114,x7111),f569(x7113,x7114,x7112))
% 191.26/191.49 [712]~E(x7121,x7122)+E(f686(x7121,x7123,x7124,x7125),f686(x7122,x7123,x7124,x7125))
% 191.26/191.49 [713]~E(x7131,x7132)+E(f686(x7133,x7131,x7134,x7135),f686(x7133,x7132,x7134,x7135))
% 191.26/191.49 [714]~E(x7141,x7142)+E(f686(x7143,x7144,x7141,x7145),f686(x7143,x7144,x7142,x7145))
% 191.26/191.49 [715]~E(x7151,x7152)+E(f686(x7153,x7154,x7155,x7151),f686(x7153,x7154,x7155,x7152))
% 191.26/191.49 [716]~E(x7161,x7162)+E(f269(x7161,x7163),f269(x7162,x7163))
% 191.26/191.49 [717]~E(x7171,x7172)+E(f269(x7173,x7171),f269(x7173,x7172))
% 191.26/191.49 [718]~E(x7181,x7182)+E(f250(x7181,x7183,x7184),f250(x7182,x7183,x7184))
% 191.26/191.49 [719]~E(x7191,x7192)+E(f250(x7193,x7191,x7194),f250(x7193,x7192,x7194))
% 191.26/191.49 [720]~E(x7201,x7202)+E(f250(x7203,x7204,x7201),f250(x7203,x7204,x7202))
% 191.26/191.49 [721]~E(x7211,x7212)+E(f717(x7211,x7213,x7214),f717(x7212,x7213,x7214))
% 191.26/191.49 [722]~E(x7221,x7222)+E(f717(x7223,x7221,x7224),f717(x7223,x7222,x7224))
% 191.26/191.49 [723]~E(x7231,x7232)+E(f717(x7233,x7234,x7231),f717(x7233,x7234,x7232))
% 191.26/191.49 [724]~E(x7241,x7242)+E(f650(x7241,x7243,x7244),f650(x7242,x7243,x7244))
% 191.26/191.49 [725]~E(x7251,x7252)+E(f650(x7253,x7251,x7254),f650(x7253,x7252,x7254))
% 191.26/191.49 [726]~E(x7261,x7262)+E(f650(x7263,x7264,x7261),f650(x7263,x7264,x7262))
% 191.26/191.49 [727]~E(x7271,x7272)+E(f179(x7271,x7273,x7274),f179(x7272,x7273,x7274))
% 191.26/191.49 [728]~E(x7281,x7282)+E(f179(x7283,x7281,x7284),f179(x7283,x7282,x7284))
% 191.26/191.49 [729]~E(x7291,x7292)+E(f179(x7293,x7294,x7291),f179(x7293,x7294,x7292))
% 191.26/191.49 [730]~E(x7301,x7302)+E(f303(x7301),f303(x7302))
% 191.26/191.49 [731]~E(x7311,x7312)+E(f47(x7311,x7313),f47(x7312,x7313))
% 191.26/191.49 [732]~E(x7321,x7322)+E(f47(x7323,x7321),f47(x7323,x7322))
% 191.26/191.49 [733]~E(x7331,x7332)+E(f299(x7331,x7333,x7334,x7335,x7336),f299(x7332,x7333,x7334,x7335,x7336))
% 191.26/191.49 [734]~E(x7341,x7342)+E(f299(x7343,x7341,x7344,x7345,x7346),f299(x7343,x7342,x7344,x7345,x7346))
% 191.26/191.49 [735]~E(x7351,x7352)+E(f299(x7353,x7354,x7351,x7355,x7356),f299(x7353,x7354,x7352,x7355,x7356))
% 191.26/191.49 [736]~E(x7361,x7362)+E(f299(x7363,x7364,x7365,x7361,x7366),f299(x7363,x7364,x7365,x7362,x7366))
% 191.26/191.49 [737]~E(x7371,x7372)+E(f299(x7373,x7374,x7375,x7376,x7371),f299(x7373,x7374,x7375,x7376,x7372))
% 191.26/191.49 [738]~E(x7381,x7382)+E(f515(x7381,x7383,x7384,x7385,x7386,x7387),f515(x7382,x7383,x7384,x7385,x7386,x7387))
% 191.26/191.49 [739]~E(x7391,x7392)+E(f515(x7393,x7391,x7394,x7395,x7396,x7397),f515(x7393,x7392,x7394,x7395,x7396,x7397))
% 191.26/191.49 [740]~E(x7401,x7402)+E(f515(x7403,x7404,x7401,x7405,x7406,x7407),f515(x7403,x7404,x7402,x7405,x7406,x7407))
% 191.26/191.49 [741]~E(x7411,x7412)+E(f515(x7413,x7414,x7415,x7411,x7416,x7417),f515(x7413,x7414,x7415,x7412,x7416,x7417))
% 191.26/191.49 [742]~E(x7421,x7422)+E(f515(x7423,x7424,x7425,x7426,x7421,x7427),f515(x7423,x7424,x7425,x7426,x7422,x7427))
% 191.26/191.49 [743]~E(x7431,x7432)+E(f515(x7433,x7434,x7435,x7436,x7437,x7431),f515(x7433,x7434,x7435,x7436,x7437,x7432))
% 191.26/191.49 [744]~E(x7441,x7442)+E(f567(x7441,x7443),f567(x7442,x7443))
% 191.26/191.49 [745]~E(x7451,x7452)+E(f567(x7453,x7451),f567(x7453,x7452))
% 191.26/191.49 [746]~E(x7461,x7462)+E(f812(x7461,x7463,x7464,x7465,x7466,x7467,x7468),f812(x7462,x7463,x7464,x7465,x7466,x7467,x7468))
% 191.26/191.49 [747]~E(x7471,x7472)+E(f812(x7473,x7471,x7474,x7475,x7476,x7477,x7478),f812(x7473,x7472,x7474,x7475,x7476,x7477,x7478))
% 191.26/191.49 [748]~E(x7481,x7482)+E(f812(x7483,x7484,x7481,x7485,x7486,x7487,x7488),f812(x7483,x7484,x7482,x7485,x7486,x7487,x7488))
% 191.26/191.49 [749]~E(x7491,x7492)+E(f812(x7493,x7494,x7495,x7491,x7496,x7497,x7498),f812(x7493,x7494,x7495,x7492,x7496,x7497,x7498))
% 191.26/191.49 [750]~E(x7501,x7502)+E(f812(x7503,x7504,x7505,x7506,x7501,x7507,x7508),f812(x7503,x7504,x7505,x7506,x7502,x7507,x7508))
% 191.26/191.49 [751]~E(x7511,x7512)+E(f812(x7513,x7514,x7515,x7516,x7517,x7511,x7518),f812(x7513,x7514,x7515,x7516,x7517,x7512,x7518))
% 191.26/191.49 [752]~E(x7521,x7522)+E(f812(x7523,x7524,x7525,x7526,x7527,x7528,x7521),f812(x7523,x7524,x7525,x7526,x7527,x7528,x7522))
% 191.26/191.49 [753]~E(x7531,x7532)+E(f602(x7531,x7533,x7534,x7535,x7536),f602(x7532,x7533,x7534,x7535,x7536))
% 191.26/191.49 [754]~E(x7541,x7542)+E(f602(x7543,x7541,x7544,x7545,x7546),f602(x7543,x7542,x7544,x7545,x7546))
% 191.26/191.49 [755]~E(x7551,x7552)+E(f602(x7553,x7554,x7551,x7555,x7556),f602(x7553,x7554,x7552,x7555,x7556))
% 191.26/191.49 [756]~E(x7561,x7562)+E(f602(x7563,x7564,x7565,x7561,x7566),f602(x7563,x7564,x7565,x7562,x7566))
% 191.26/191.49 [757]~E(x7571,x7572)+E(f602(x7573,x7574,x7575,x7576,x7571),f602(x7573,x7574,x7575,x7576,x7572))
% 191.26/191.49 [758]~E(x7581,x7582)+E(f101(x7581,x7583),f101(x7582,x7583))
% 191.26/191.49 [759]~E(x7591,x7592)+E(f101(x7593,x7591),f101(x7593,x7592))
% 191.26/191.49 [760]~E(x7601,x7602)+E(f453(x7601,x7603,x7604,x7605,x7606),f453(x7602,x7603,x7604,x7605,x7606))
% 191.26/191.49 [761]~E(x7611,x7612)+E(f453(x7613,x7611,x7614,x7615,x7616),f453(x7613,x7612,x7614,x7615,x7616))
% 191.26/191.49 [762]~E(x7621,x7622)+E(f453(x7623,x7624,x7621,x7625,x7626),f453(x7623,x7624,x7622,x7625,x7626))
% 191.26/191.49 [763]~E(x7631,x7632)+E(f453(x7633,x7634,x7635,x7631,x7636),f453(x7633,x7634,x7635,x7632,x7636))
% 191.26/191.49 [764]~E(x7641,x7642)+E(f453(x7643,x7644,x7645,x7646,x7641),f453(x7643,x7644,x7645,x7646,x7642))
% 191.26/191.49 [765]~E(x7651,x7652)+E(f745(x7651,x7653),f745(x7652,x7653))
% 191.26/191.49 [766]~E(x7661,x7662)+E(f745(x7663,x7661),f745(x7663,x7662))
% 191.26/191.49 [767]~E(x7671,x7672)+E(f720(x7671,x7673,x7674,x7675,x7676),f720(x7672,x7673,x7674,x7675,x7676))
% 191.26/191.49 [768]~E(x7681,x7682)+E(f720(x7683,x7681,x7684,x7685,x7686),f720(x7683,x7682,x7684,x7685,x7686))
% 191.26/191.49 [769]~E(x7691,x7692)+E(f720(x7693,x7694,x7691,x7695,x7696),f720(x7693,x7694,x7692,x7695,x7696))
% 191.26/191.49 [770]~E(x7701,x7702)+E(f720(x7703,x7704,x7705,x7701,x7706),f720(x7703,x7704,x7705,x7702,x7706))
% 191.26/191.49 [771]~E(x7711,x7712)+E(f720(x7713,x7714,x7715,x7716,x7711),f720(x7713,x7714,x7715,x7716,x7712))
% 191.26/191.49 [772]~E(x7721,x7722)+E(f723(x7721,x7723,x7724),f723(x7722,x7723,x7724))
% 191.26/191.49 [773]~E(x7731,x7732)+E(f723(x7733,x7731,x7734),f723(x7733,x7732,x7734))
% 191.26/191.49 [774]~E(x7741,x7742)+E(f723(x7743,x7744,x7741),f723(x7743,x7744,x7742))
% 191.26/191.49 [775]~E(x7751,x7752)+E(f763(x7751,x7753,x7754),f763(x7752,x7753,x7754))
% 191.26/191.49 [776]~E(x7761,x7762)+E(f763(x7763,x7761,x7764),f763(x7763,x7762,x7764))
% 191.26/191.49 [777]~E(x7771,x7772)+E(f763(x7773,x7774,x7771),f763(x7773,x7774,x7772))
% 191.26/191.49 [778]~E(x7781,x7782)+E(f357(x7781,x7783,x7784,x7785),f357(x7782,x7783,x7784,x7785))
% 191.26/191.49 [779]~E(x7791,x7792)+E(f357(x7793,x7791,x7794,x7795),f357(x7793,x7792,x7794,x7795))
% 191.26/191.49 [780]~E(x7801,x7802)+E(f357(x7803,x7804,x7801,x7805),f357(x7803,x7804,x7802,x7805))
% 191.26/191.49 [781]~E(x7811,x7812)+E(f357(x7813,x7814,x7815,x7811),f357(x7813,x7814,x7815,x7812))
% 191.26/191.49 [782]~E(x7821,x7822)+E(f645(x7821,x7823,x7824),f645(x7822,x7823,x7824))
% 191.26/191.49 [783]~E(x7831,x7832)+E(f645(x7833,x7831,x7834),f645(x7833,x7832,x7834))
% 191.26/191.49 [784]~E(x7841,x7842)+E(f645(x7843,x7844,x7841),f645(x7843,x7844,x7842))
% 191.26/191.49 [785]~E(x7851,x7852)+E(f707(x7851,x7853,x7854,x7855,x7856),f707(x7852,x7853,x7854,x7855,x7856))
% 191.26/191.49 [786]~E(x7861,x7862)+E(f707(x7863,x7861,x7864,x7865,x7866),f707(x7863,x7862,x7864,x7865,x7866))
% 191.26/191.49 [787]~E(x7871,x7872)+E(f707(x7873,x7874,x7871,x7875,x7876),f707(x7873,x7874,x7872,x7875,x7876))
% 191.26/191.49 [788]~E(x7881,x7882)+E(f707(x7883,x7884,x7885,x7881,x7886),f707(x7883,x7884,x7885,x7882,x7886))
% 191.26/191.49 [789]~E(x7891,x7892)+E(f707(x7893,x7894,x7895,x7896,x7891),f707(x7893,x7894,x7895,x7896,x7892))
% 191.26/191.49 [790]~E(x7901,x7902)+E(f882(x7901,x7903),f882(x7902,x7903))
% 191.26/191.49 [791]~E(x7911,x7912)+E(f882(x7913,x7911),f882(x7913,x7912))
% 191.26/191.49 [792]~E(x7921,x7922)+E(f874(x7921,x7923),f874(x7922,x7923))
% 191.26/191.49 [793]~E(x7931,x7932)+E(f874(x7933,x7931),f874(x7933,x7932))
% 191.26/191.49 [794]~E(x7941,x7942)+E(f244(x7941,x7943),f244(x7942,x7943))
% 191.26/191.49 [795]~E(x7951,x7952)+E(f244(x7953,x7951),f244(x7953,x7952))
% 191.26/191.49 [796]~E(x7961,x7962)+E(f248(x7961,x7963,x7964),f248(x7962,x7963,x7964))
% 191.26/191.49 [797]~E(x7971,x7972)+E(f248(x7973,x7971,x7974),f248(x7973,x7972,x7974))
% 191.26/191.49 [798]~E(x7981,x7982)+E(f248(x7983,x7984,x7981),f248(x7983,x7984,x7982))
% 191.26/191.49 [799]~E(x7991,x7992)+E(f163(x7991,x7993),f163(x7992,x7993))
% 191.26/191.49 [800]~E(x8001,x8002)+E(f163(x8003,x8001),f163(x8003,x8002))
% 191.26/191.49 [801]~E(x8011,x8012)+E(f810(x8011,x8013,x8014,x8015),f810(x8012,x8013,x8014,x8015))
% 191.26/191.49 [802]~E(x8021,x8022)+E(f810(x8023,x8021,x8024,x8025),f810(x8023,x8022,x8024,x8025))
% 191.26/191.49 [803]~E(x8031,x8032)+E(f810(x8033,x8034,x8031,x8035),f810(x8033,x8034,x8032,x8035))
% 191.26/191.49 [804]~E(x8041,x8042)+E(f810(x8043,x8044,x8045,x8041),f810(x8043,x8044,x8045,x8042))
% 191.26/191.49 [805]~E(x8051,x8052)+E(f714(x8051,x8053,x8054),f714(x8052,x8053,x8054))
% 191.26/191.49 [806]~E(x8061,x8062)+E(f714(x8063,x8061,x8064),f714(x8063,x8062,x8064))
% 191.26/191.49 [807]~E(x8071,x8072)+E(f714(x8073,x8074,x8071),f714(x8073,x8074,x8072))
% 191.26/191.49 [808]~E(x8081,x8082)+E(f627(x8081,x8083,x8084,x8085),f627(x8082,x8083,x8084,x8085))
% 191.26/191.49 [809]~E(x8091,x8092)+E(f627(x8093,x8091,x8094,x8095),f627(x8093,x8092,x8094,x8095))
% 191.26/191.49 [810]~E(x8101,x8102)+E(f627(x8103,x8104,x8101,x8105),f627(x8103,x8104,x8102,x8105))
% 191.26/191.49 [811]~E(x8111,x8112)+E(f627(x8113,x8114,x8115,x8111),f627(x8113,x8114,x8115,x8112))
% 191.26/191.49 [812]~E(x8121,x8122)+E(f344(x8121,x8123,x8124),f344(x8122,x8123,x8124))
% 191.26/191.49 [813]~E(x8131,x8132)+E(f344(x8133,x8131,x8134),f344(x8133,x8132,x8134))
% 191.26/191.49 [814]~E(x8141,x8142)+E(f344(x8143,x8144,x8141),f344(x8143,x8144,x8142))
% 191.26/191.49 [815]~E(x8151,x8152)+E(f676(x8151,x8153),f676(x8152,x8153))
% 191.26/191.49 [816]~E(x8161,x8162)+E(f676(x8163,x8161),f676(x8163,x8162))
% 191.26/191.49 [817]~E(x8171,x8172)+E(f476(x8171,x8173,x8174,x8175),f476(x8172,x8173,x8174,x8175))
% 191.26/191.49 [818]~E(x8181,x8182)+E(f476(x8183,x8181,x8184,x8185),f476(x8183,x8182,x8184,x8185))
% 191.26/191.49 [819]~E(x8191,x8192)+E(f476(x8193,x8194,x8191,x8195),f476(x8193,x8194,x8192,x8195))
% 191.26/191.49 [820]~E(x8201,x8202)+E(f476(x8203,x8204,x8205,x8201),f476(x8203,x8204,x8205,x8202))
% 191.26/191.49 [821]~E(x8211,x8212)+E(f463(x8211,x8213,x8214,x8215,x8216),f463(x8212,x8213,x8214,x8215,x8216))
% 191.26/191.49 [822]~E(x8221,x8222)+E(f463(x8223,x8221,x8224,x8225,x8226),f463(x8223,x8222,x8224,x8225,x8226))
% 191.26/191.49 [823]~E(x8231,x8232)+E(f463(x8233,x8234,x8231,x8235,x8236),f463(x8233,x8234,x8232,x8235,x8236))
% 191.26/191.49 [824]~E(x8241,x8242)+E(f463(x8243,x8244,x8245,x8241,x8246),f463(x8243,x8244,x8245,x8242,x8246))
% 191.26/191.49 [825]~E(x8251,x8252)+E(f463(x8253,x8254,x8255,x8256,x8251),f463(x8253,x8254,x8255,x8256,x8252))
% 191.26/191.49 [826]~E(x8261,x8262)+E(f738(x8261,x8263,x8264),f738(x8262,x8263,x8264))
% 191.26/191.49 [827]~E(x8271,x8272)+E(f738(x8273,x8271,x8274),f738(x8273,x8272,x8274))
% 191.26/191.49 [828]~E(x8281,x8282)+E(f738(x8283,x8284,x8281),f738(x8283,x8284,x8282))
% 191.26/191.49 [829]~E(x8291,x8292)+E(f541(x8291,x8293,x8294,x8295),f541(x8292,x8293,x8294,x8295))
% 191.26/191.49 [830]~E(x8301,x8302)+E(f541(x8303,x8301,x8304,x8305),f541(x8303,x8302,x8304,x8305))
% 191.26/191.49 [831]~E(x8311,x8312)+E(f541(x8313,x8314,x8311,x8315),f541(x8313,x8314,x8312,x8315))
% 191.26/191.49 [832]~E(x8321,x8322)+E(f541(x8323,x8324,x8325,x8321),f541(x8323,x8324,x8325,x8322))
% 191.26/191.49 [833]~E(x8331,x8332)+E(f725(x8331,x8333),f725(x8332,x8333))
% 191.26/191.49 [834]~E(x8341,x8342)+E(f725(x8343,x8341),f725(x8343,x8342))
% 191.26/191.49 [835]~E(x8351,x8352)+E(f499(x8351,x8353,x8354,x8355),f499(x8352,x8353,x8354,x8355))
% 191.26/191.49 [836]~E(x8361,x8362)+E(f499(x8363,x8361,x8364,x8365),f499(x8363,x8362,x8364,x8365))
% 191.26/191.49 [837]~E(x8371,x8372)+E(f499(x8373,x8374,x8371,x8375),f499(x8373,x8374,x8372,x8375))
% 191.26/191.49 [838]~E(x8381,x8382)+E(f499(x8383,x8384,x8385,x8381),f499(x8383,x8384,x8385,x8382))
% 191.26/191.49 [839]~E(x8391,x8392)+E(f724(x8391,x8393),f724(x8392,x8393))
% 191.26/191.49 [840]~E(x8401,x8402)+E(f724(x8403,x8401),f724(x8403,x8402))
% 191.26/191.49 [841]~E(x8411,x8412)+E(f884(x8411,x8413,x8414,x8415,x8416,x8417,x8418),f884(x8412,x8413,x8414,x8415,x8416,x8417,x8418))
% 191.26/191.49 [842]~E(x8421,x8422)+E(f884(x8423,x8421,x8424,x8425,x8426,x8427,x8428),f884(x8423,x8422,x8424,x8425,x8426,x8427,x8428))
% 191.26/191.49 [843]~E(x8431,x8432)+E(f884(x8433,x8434,x8431,x8435,x8436,x8437,x8438),f884(x8433,x8434,x8432,x8435,x8436,x8437,x8438))
% 191.26/191.49 [844]~E(x8441,x8442)+E(f884(x8443,x8444,x8445,x8441,x8446,x8447,x8448),f884(x8443,x8444,x8445,x8442,x8446,x8447,x8448))
% 191.26/191.49 [845]~E(x8451,x8452)+E(f884(x8453,x8454,x8455,x8456,x8451,x8457,x8458),f884(x8453,x8454,x8455,x8456,x8452,x8457,x8458))
% 191.26/191.49 [846]~E(x8461,x8462)+E(f884(x8463,x8464,x8465,x8466,x8467,x8461,x8468),f884(x8463,x8464,x8465,x8466,x8467,x8462,x8468))
% 191.26/191.49 [847]~E(x8471,x8472)+E(f884(x8473,x8474,x8475,x8476,x8477,x8478,x8471),f884(x8473,x8474,x8475,x8476,x8477,x8478,x8472))
% 191.26/191.49 [848]~E(x8481,x8482)+E(f832(x8481),f832(x8482))
% 191.26/191.49 [849]~E(x8491,x8492)+E(f638(x8491,x8493,x8494),f638(x8492,x8493,x8494))
% 191.26/191.49 [850]~E(x8501,x8502)+E(f638(x8503,x8501,x8504),f638(x8503,x8502,x8504))
% 191.26/191.49 [851]~E(x8511,x8512)+E(f638(x8513,x8514,x8511),f638(x8513,x8514,x8512))
% 191.26/191.49 [852]~E(x8521,x8522)+E(f494(x8521),f494(x8522))
% 191.26/191.49 [853]~E(x8531,x8532)+E(f55(x8531,x8533),f55(x8532,x8533))
% 191.26/191.49 [854]~E(x8541,x8542)+E(f55(x8543,x8541),f55(x8543,x8542))
% 191.26/191.49 [855]~E(x8551,x8552)+E(f435(x8551,x8553,x8554,x8555),f435(x8552,x8553,x8554,x8555))
% 191.26/191.49 [856]~E(x8561,x8562)+E(f435(x8563,x8561,x8564,x8565),f435(x8563,x8562,x8564,x8565))
% 191.26/191.49 [857]~E(x8571,x8572)+E(f435(x8573,x8574,x8571,x8575),f435(x8573,x8574,x8572,x8575))
% 191.26/191.49 [858]~E(x8581,x8582)+E(f435(x8583,x8584,x8585,x8581),f435(x8583,x8584,x8585,x8582))
% 191.26/191.49 [859]~E(x8591,x8592)+E(f290(x8591,x8593),f290(x8592,x8593))
% 191.26/191.49 [860]~E(x8601,x8602)+E(f290(x8603,x8601),f290(x8603,x8602))
% 191.26/191.49 [861]~E(x8611,x8612)+E(f896(x8611,x8613,x8614),f896(x8612,x8613,x8614))
% 191.26/191.49 [862]~E(x8621,x8622)+E(f896(x8623,x8621,x8624),f896(x8623,x8622,x8624))
% 191.26/191.49 [863]~E(x8631,x8632)+E(f896(x8633,x8634,x8631),f896(x8633,x8634,x8632))
% 191.26/191.49 [864]~E(x8641,x8642)+E(f598(x8641,x8643,x8644),f598(x8642,x8643,x8644))
% 191.26/191.49 [865]~E(x8651,x8652)+E(f598(x8653,x8651,x8654),f598(x8653,x8652,x8654))
% 191.26/191.49 [866]~E(x8661,x8662)+E(f598(x8663,x8664,x8661),f598(x8663,x8664,x8662))
% 191.26/191.49 [867]~E(x8671,x8672)+E(f323(x8671,x8673,x8674),f323(x8672,x8673,x8674))
% 191.26/191.49 [868]~E(x8681,x8682)+E(f323(x8683,x8681,x8684),f323(x8683,x8682,x8684))
% 191.26/191.49 [869]~E(x8691,x8692)+E(f323(x8693,x8694,x8691),f323(x8693,x8694,x8692))
% 191.26/191.49 [870]~E(x8701,x8702)+E(f616(x8701,x8703),f616(x8702,x8703))
% 191.26/191.49 [871]~E(x8711,x8712)+E(f616(x8713,x8711),f616(x8713,x8712))
% 191.26/191.49 [872]~E(x8721,x8722)+E(f437(x8721,x8723,x8724,x8725),f437(x8722,x8723,x8724,x8725))
% 191.26/191.49 [873]~E(x8731,x8732)+E(f437(x8733,x8731,x8734,x8735),f437(x8733,x8732,x8734,x8735))
% 191.26/191.49 [874]~E(x8741,x8742)+E(f437(x8743,x8744,x8741,x8745),f437(x8743,x8744,x8742,x8745))
% 191.26/191.49 [875]~E(x8751,x8752)+E(f437(x8753,x8754,x8755,x8751),f437(x8753,x8754,x8755,x8752))
% 191.26/191.49 [876]~E(x8761,x8762)+E(f620(x8761,x8763,x8764,x8765,x8766),f620(x8762,x8763,x8764,x8765,x8766))
% 191.26/191.49 [877]~E(x8771,x8772)+E(f620(x8773,x8771,x8774,x8775,x8776),f620(x8773,x8772,x8774,x8775,x8776))
% 191.26/191.49 [878]~E(x8781,x8782)+E(f620(x8783,x8784,x8781,x8785,x8786),f620(x8783,x8784,x8782,x8785,x8786))
% 191.26/191.49 [879]~E(x8791,x8792)+E(f620(x8793,x8794,x8795,x8791,x8796),f620(x8793,x8794,x8795,x8792,x8796))
% 191.26/191.49 [880]~E(x8801,x8802)+E(f620(x8803,x8804,x8805,x8806,x8801),f620(x8803,x8804,x8805,x8806,x8802))
% 191.26/191.49 [881]~E(x8811,x8812)+E(f621(x8811,x8813,x8814,x8815,x8816),f621(x8812,x8813,x8814,x8815,x8816))
% 191.26/191.49 [882]~E(x8821,x8822)+E(f621(x8823,x8821,x8824,x8825,x8826),f621(x8823,x8822,x8824,x8825,x8826))
% 191.26/191.49 [883]~E(x8831,x8832)+E(f621(x8833,x8834,x8831,x8835,x8836),f621(x8833,x8834,x8832,x8835,x8836))
% 191.26/191.49 [884]~E(x8841,x8842)+E(f621(x8843,x8844,x8845,x8841,x8846),f621(x8843,x8844,x8845,x8842,x8846))
% 191.26/191.49 [885]~E(x8851,x8852)+E(f621(x8853,x8854,x8855,x8856,x8851),f621(x8853,x8854,x8855,x8856,x8852))
% 191.26/191.49 [886]~E(x8861,x8862)+E(f769(x8861,x8863,x8864,x8865,x8866),f769(x8862,x8863,x8864,x8865,x8866))
% 191.26/191.49 [887]~E(x8871,x8872)+E(f769(x8873,x8871,x8874,x8875,x8876),f769(x8873,x8872,x8874,x8875,x8876))
% 191.26/191.49 [888]~E(x8881,x8882)+E(f769(x8883,x8884,x8881,x8885,x8886),f769(x8883,x8884,x8882,x8885,x8886))
% 191.26/191.49 [889]~E(x8891,x8892)+E(f769(x8893,x8894,x8895,x8891,x8896),f769(x8893,x8894,x8895,x8892,x8896))
% 191.26/191.49 [890]~E(x8901,x8902)+E(f769(x8903,x8904,x8905,x8906,x8901),f769(x8903,x8904,x8905,x8906,x8902))
% 191.26/191.49 [891]~E(x8911,x8912)+E(f385(x8911,x8913,x8914),f385(x8912,x8913,x8914))
% 191.26/191.49 [892]~E(x8921,x8922)+E(f385(x8923,x8921,x8924),f385(x8923,x8922,x8924))
% 191.26/191.49 [893]~E(x8931,x8932)+E(f385(x8933,x8934,x8931),f385(x8933,x8934,x8932))
% 191.26/191.49 [894]~E(x8941,x8942)+E(f755(x8941,x8943),f755(x8942,x8943))
% 191.26/191.49 [895]~E(x8951,x8952)+E(f755(x8953,x8951),f755(x8953,x8952))
% 191.26/191.49 [896]~E(x8961,x8962)+E(f60(x8961,x8963,x8964,x8965),f60(x8962,x8963,x8964,x8965))
% 191.26/191.49 [897]~E(x8971,x8972)+E(f60(x8973,x8971,x8974,x8975),f60(x8973,x8972,x8974,x8975))
% 191.26/191.49 [898]~E(x8981,x8982)+E(f60(x8983,x8984,x8981,x8985),f60(x8983,x8984,x8982,x8985))
% 191.26/191.49 [899]~E(x8991,x8992)+E(f60(x8993,x8994,x8995,x8991),f60(x8993,x8994,x8995,x8992))
% 191.26/191.49 [900]~E(x9001,x9002)+E(f195(x9001,x9003),f195(x9002,x9003))
% 191.26/191.49 [901]~E(x9011,x9012)+E(f195(x9013,x9011),f195(x9013,x9012))
% 191.26/191.49 [902]~E(x9021,x9022)+E(f703(x9021,x9023,x9024),f703(x9022,x9023,x9024))
% 191.26/191.49 [903]~E(x9031,x9032)+E(f703(x9033,x9031,x9034),f703(x9033,x9032,x9034))
% 191.26/191.49 [904]~E(x9041,x9042)+E(f703(x9043,x9044,x9041),f703(x9043,x9044,x9042))
% 191.26/191.49 [905]~E(x9051,x9052)+E(f125(x9051,x9053),f125(x9052,x9053))
% 191.26/191.49 [906]~E(x9061,x9062)+E(f125(x9063,x9061),f125(x9063,x9062))
% 191.26/191.49 [907]~E(x9071,x9072)+E(f510(x9071,x9073,x9074),f510(x9072,x9073,x9074))
% 191.26/191.49 [908]~E(x9081,x9082)+E(f510(x9083,x9081,x9084),f510(x9083,x9082,x9084))
% 191.26/191.49 [909]~E(x9091,x9092)+E(f510(x9093,x9094,x9091),f510(x9093,x9094,x9092))
% 191.26/191.49 [910]~E(x9101,x9102)+E(f779(x9101,x9103,x9104),f779(x9102,x9103,x9104))
% 191.26/191.49 [911]~E(x9111,x9112)+E(f779(x9113,x9111,x9114),f779(x9113,x9112,x9114))
% 191.26/191.49 [912]~E(x9121,x9122)+E(f779(x9123,x9124,x9121),f779(x9123,x9124,x9122))
% 191.26/191.49 [913]~E(x9131,x9132)+E(f63(x9131,x9133,x9134),f63(x9132,x9133,x9134))
% 191.26/191.49 [914]~E(x9141,x9142)+E(f63(x9143,x9141,x9144),f63(x9143,x9142,x9144))
% 191.26/191.49 [915]~E(x9151,x9152)+E(f63(x9153,x9154,x9151),f63(x9153,x9154,x9152))
% 191.26/191.49 [916]~E(x9161,x9162)+E(f895(x9161,x9163,x9164),f895(x9162,x9163,x9164))
% 191.26/191.49 [917]~E(x9171,x9172)+E(f895(x9173,x9171,x9174),f895(x9173,x9172,x9174))
% 191.26/191.49 [918]~E(x9181,x9182)+E(f895(x9183,x9184,x9181),f895(x9183,x9184,x9182))
% 191.26/191.49 [919]~E(x9191,x9192)+E(f176(x9191,x9193,x9194),f176(x9192,x9193,x9194))
% 191.26/191.49 [920]~E(x9201,x9202)+E(f176(x9203,x9201,x9204),f176(x9203,x9202,x9204))
% 191.26/191.49 [921]~E(x9211,x9212)+E(f176(x9213,x9214,x9211),f176(x9213,x9214,x9212))
% 191.26/191.49 [922]~E(x9221,x9222)+E(f211(x9221,x9223,x9224,x9225,x9226,x9227,x9228),f211(x9222,x9223,x9224,x9225,x9226,x9227,x9228))
% 191.26/191.49 [923]~E(x9231,x9232)+E(f211(x9233,x9231,x9234,x9235,x9236,x9237,x9238),f211(x9233,x9232,x9234,x9235,x9236,x9237,x9238))
% 191.26/191.49 [924]~E(x9241,x9242)+E(f211(x9243,x9244,x9241,x9245,x9246,x9247,x9248),f211(x9243,x9244,x9242,x9245,x9246,x9247,x9248))
% 191.26/191.49 [925]~E(x9251,x9252)+E(f211(x9253,x9254,x9255,x9251,x9256,x9257,x9258),f211(x9253,x9254,x9255,x9252,x9256,x9257,x9258))
% 191.26/191.49 [926]~E(x9261,x9262)+E(f211(x9263,x9264,x9265,x9266,x9261,x9267,x9268),f211(x9263,x9264,x9265,x9266,x9262,x9267,x9268))
% 191.26/191.49 [927]~E(x9271,x9272)+E(f211(x9273,x9274,x9275,x9276,x9277,x9271,x9278),f211(x9273,x9274,x9275,x9276,x9277,x9272,x9278))
% 191.26/191.49 [928]~E(x9281,x9282)+E(f211(x9283,x9284,x9285,x9286,x9287,x9288,x9281),f211(x9283,x9284,x9285,x9286,x9287,x9288,x9282))
% 191.26/191.49 [929]~E(x9291,x9292)+E(f805(x9291,x9293,x9294),f805(x9292,x9293,x9294))
% 191.26/191.49 [930]~E(x9301,x9302)+E(f805(x9303,x9301,x9304),f805(x9303,x9302,x9304))
% 191.26/191.49 [931]~E(x9311,x9312)+E(f805(x9313,x9314,x9311),f805(x9313,x9314,x9312))
% 191.26/191.49 [932]~E(x9321,x9322)+E(f765(x9321,x9323),f765(x9322,x9323))
% 191.26/191.49 [933]~E(x9331,x9332)+E(f765(x9333,x9331),f765(x9333,x9332))
% 191.26/191.49 [934]~E(x9341,x9342)+E(f651(x9341,x9343,x9344,x9345),f651(x9342,x9343,x9344,x9345))
% 191.26/191.49 [935]~E(x9351,x9352)+E(f651(x9353,x9351,x9354,x9355),f651(x9353,x9352,x9354,x9355))
% 191.26/191.49 [936]~E(x9361,x9362)+E(f651(x9363,x9364,x9361,x9365),f651(x9363,x9364,x9362,x9365))
% 191.26/191.49 [937]~E(x9371,x9372)+E(f651(x9373,x9374,x9375,x9371),f651(x9373,x9374,x9375,x9372))
% 191.26/191.49 [938]~E(x9381,x9382)+E(f828(x9381,x9383),f828(x9382,x9383))
% 191.26/191.49 [939]~E(x9391,x9392)+E(f828(x9393,x9391),f828(x9393,x9392))
% 191.26/191.49 [940]~E(x9401,x9402)+E(f209(x9401,x9403,x9404,x9405),f209(x9402,x9403,x9404,x9405))
% 191.26/191.49 [941]~E(x9411,x9412)+E(f209(x9413,x9411,x9414,x9415),f209(x9413,x9412,x9414,x9415))
% 191.26/191.49 [942]~E(x9421,x9422)+E(f209(x9423,x9424,x9421,x9425),f209(x9423,x9424,x9422,x9425))
% 191.26/191.49 [943]~E(x9431,x9432)+E(f209(x9433,x9434,x9435,x9431),f209(x9433,x9434,x9435,x9432))
% 191.26/191.49 [944]~E(x9441,x9442)+E(f146(x9441,x9443),f146(x9442,x9443))
% 191.26/191.49 [945]~E(x9451,x9452)+E(f146(x9453,x9451),f146(x9453,x9452))
% 191.26/191.49 [946]~E(x9461,x9462)+E(f746(x9461,x9463,x9464,x9465),f746(x9462,x9463,x9464,x9465))
% 191.26/191.49 [947]~E(x9471,x9472)+E(f746(x9473,x9471,x9474,x9475),f746(x9473,x9472,x9474,x9475))
% 191.26/191.49 [948]~E(x9481,x9482)+E(f746(x9483,x9484,x9481,x9485),f746(x9483,x9484,x9482,x9485))
% 191.26/191.49 [949]~E(x9491,x9492)+E(f746(x9493,x9494,x9495,x9491),f746(x9493,x9494,x9495,x9492))
% 191.26/191.49 [950]~E(x9501,x9502)+E(f844(x9501,x9503,x9504),f844(x9502,x9503,x9504))
% 191.26/191.49 [951]~E(x9511,x9512)+E(f844(x9513,x9511,x9514),f844(x9513,x9512,x9514))
% 191.26/191.49 [952]~E(x9521,x9522)+E(f844(x9523,x9524,x9521),f844(x9523,x9524,x9522))
% 191.26/191.49 [953]~E(x9531,x9532)+E(f729(x9531,x9533,x9534),f729(x9532,x9533,x9534))
% 191.26/191.49 [954]~E(x9541,x9542)+E(f729(x9543,x9541,x9544),f729(x9543,x9542,x9544))
% 191.26/191.49 [955]~E(x9551,x9552)+E(f729(x9553,x9554,x9551),f729(x9553,x9554,x9552))
% 191.26/191.49 [956]~E(x9561,x9562)+E(f343(x9561,x9563,x9564),f343(x9562,x9563,x9564))
% 191.26/191.49 [957]~E(x9571,x9572)+E(f343(x9573,x9571,x9574),f343(x9573,x9572,x9574))
% 191.26/191.49 [958]~E(x9581,x9582)+E(f343(x9583,x9584,x9581),f343(x9583,x9584,x9582))
% 191.26/191.49 [959]~E(x9591,x9592)+E(f451(x9591,x9593,x9594,x9595,x9596),f451(x9592,x9593,x9594,x9595,x9596))
% 191.26/191.49 [960]~E(x9601,x9602)+E(f451(x9603,x9601,x9604,x9605,x9606),f451(x9603,x9602,x9604,x9605,x9606))
% 191.26/191.49 [961]~E(x9611,x9612)+E(f451(x9613,x9614,x9611,x9615,x9616),f451(x9613,x9614,x9612,x9615,x9616))
% 191.26/191.49 [962]~E(x9621,x9622)+E(f451(x9623,x9624,x9625,x9621,x9626),f451(x9623,x9624,x9625,x9622,x9626))
% 191.26/191.49 [963]~E(x9631,x9632)+E(f451(x9633,x9634,x9635,x9636,x9631),f451(x9633,x9634,x9635,x9636,x9632))
% 191.26/191.49 [964]~E(x9641,x9642)+E(f351(x9641,x9643),f351(x9642,x9643))
% 191.26/191.49 [965]~E(x9651,x9652)+E(f351(x9653,x9651),f351(x9653,x9652))
% 191.26/191.49 [966]~E(x9661,x9662)+E(f891(x9661,x9663,x9664,x9665,x9666),f891(x9662,x9663,x9664,x9665,x9666))
% 191.26/191.49 [967]~E(x9671,x9672)+E(f891(x9673,x9671,x9674,x9675,x9676),f891(x9673,x9672,x9674,x9675,x9676))
% 191.26/191.49 [968]~E(x9681,x9682)+E(f891(x9683,x9684,x9681,x9685,x9686),f891(x9683,x9684,x9682,x9685,x9686))
% 191.26/191.49 [969]~E(x9691,x9692)+E(f891(x9693,x9694,x9695,x9691,x9696),f891(x9693,x9694,x9695,x9692,x9696))
% 191.26/191.49 [970]~E(x9701,x9702)+E(f891(x9703,x9704,x9705,x9706,x9701),f891(x9703,x9704,x9705,x9706,x9702))
% 191.26/191.49 [971]~E(x9711,x9712)+E(f130(x9711,x9713,x9714),f130(x9712,x9713,x9714))
% 191.26/191.49 [972]~E(x9721,x9722)+E(f130(x9723,x9721,x9724),f130(x9723,x9722,x9724))
% 191.26/191.49 [973]~E(x9731,x9732)+E(f130(x9733,x9734,x9731),f130(x9733,x9734,x9732))
% 191.26/191.49 [974]~E(x9741,x9742)+E(f394(x9741,x9743),f394(x9742,x9743))
% 191.26/191.49 [975]~E(x9751,x9752)+E(f394(x9753,x9751),f394(x9753,x9752))
% 191.26/191.49 [976]~E(x9761,x9762)+E(f757(x9761,x9763),f757(x9762,x9763))
% 191.26/191.49 [977]~E(x9771,x9772)+E(f757(x9773,x9771),f757(x9773,x9772))
% 191.26/191.49 [978]~E(x9781,x9782)+E(f520(x9781,x9783,x9784,x9785,x9786,x9787,x9788,x9789),f520(x9782,x9783,x9784,x9785,x9786,x9787,x9788,x9789))
% 191.26/191.49 [979]~E(x9791,x9792)+E(f520(x9793,x9791,x9794,x9795,x9796,x9797,x9798,x9799),f520(x9793,x9792,x9794,x9795,x9796,x9797,x9798,x9799))
% 191.26/191.49 [980]~E(x9801,x9802)+E(f520(x9803,x9804,x9801,x9805,x9806,x9807,x9808,x9809),f520(x9803,x9804,x9802,x9805,x9806,x9807,x9808,x9809))
% 191.26/191.49 [981]~E(x9811,x9812)+E(f520(x9813,x9814,x9815,x9811,x9816,x9817,x9818,x9819),f520(x9813,x9814,x9815,x9812,x9816,x9817,x9818,x9819))
% 191.26/191.49 [982]~E(x9821,x9822)+E(f520(x9823,x9824,x9825,x9826,x9821,x9827,x9828,x9829),f520(x9823,x9824,x9825,x9826,x9822,x9827,x9828,x9829))
% 191.26/191.49 [983]~E(x9831,x9832)+E(f520(x9833,x9834,x9835,x9836,x9837,x9831,x9838,x9839),f520(x9833,x9834,x9835,x9836,x9837,x9832,x9838,x9839))
% 191.26/191.49 [984]~E(x9841,x9842)+E(f520(x9843,x9844,x9845,x9846,x9847,x9848,x9841,x9849),f520(x9843,x9844,x9845,x9846,x9847,x9848,x9842,x9849))
% 191.26/191.49 [985]~E(x9851,x9852)+E(f520(x9853,x9854,x9855,x9856,x9857,x9858,x9859,x9851),f520(x9853,x9854,x9855,x9856,x9857,x9858,x9859,x9852))
% 191.26/191.49 [986]~E(x9861,x9862)+E(f69(x9861,x9863,x9864),f69(x9862,x9863,x9864))
% 191.26/191.49 [987]~E(x9871,x9872)+E(f69(x9873,x9871,x9874),f69(x9873,x9872,x9874))
% 191.26/191.49 [988]~E(x9881,x9882)+E(f69(x9883,x9884,x9881),f69(x9883,x9884,x9882))
% 191.26/191.49 [989]~E(x9891,x9892)+E(f635(x9891,x9893,x9894,x9895,x9896),f635(x9892,x9893,x9894,x9895,x9896))
% 191.26/191.49 [990]~E(x9901,x9902)+E(f635(x9903,x9901,x9904,x9905,x9906),f635(x9903,x9902,x9904,x9905,x9906))
% 191.26/191.49 [991]~E(x9911,x9912)+E(f635(x9913,x9914,x9911,x9915,x9916),f635(x9913,x9914,x9912,x9915,x9916))
% 191.26/191.49 [992]~E(x9921,x9922)+E(f635(x9923,x9924,x9925,x9921,x9926),f635(x9923,x9924,x9925,x9922,x9926))
% 191.26/191.49 [993]~E(x9931,x9932)+E(f635(x9933,x9934,x9935,x9936,x9931),f635(x9933,x9934,x9935,x9936,x9932))
% 191.26/191.49 [994]~E(x9941,x9942)+E(f825(x9941,x9943,x9944,x9945,x9946),f825(x9942,x9943,x9944,x9945,x9946))
% 191.26/191.49 [995]~E(x9951,x9952)+E(f825(x9953,x9951,x9954,x9955,x9956),f825(x9953,x9952,x9954,x9955,x9956))
% 191.26/191.49 [996]~E(x9961,x9962)+E(f825(x9963,x9964,x9961,x9965,x9966),f825(x9963,x9964,x9962,x9965,x9966))
% 191.26/191.49 [997]~E(x9971,x9972)+E(f825(x9973,x9974,x9975,x9971,x9976),f825(x9973,x9974,x9975,x9972,x9976))
% 191.26/191.49 [998]~E(x9981,x9982)+E(f825(x9983,x9984,x9985,x9986,x9981),f825(x9983,x9984,x9985,x9986,x9982))
% 191.26/191.49 [999]~E(x9991,x9992)+E(f431(x9991,x9993),f431(x9992,x9993))
% 191.26/191.49 [1000]~E(x10001,x10002)+E(f431(x10003,x10001),f431(x10003,x10002))
% 191.26/191.49 [1001]~E(x10011,x10012)+E(f193(x10011,x10013,x10014,x10015),f193(x10012,x10013,x10014,x10015))
% 191.26/191.49 [1002]~E(x10021,x10022)+E(f193(x10023,x10021,x10024,x10025),f193(x10023,x10022,x10024,x10025))
% 191.26/191.49 [1003]~E(x10031,x10032)+E(f193(x10033,x10034,x10031,x10035),f193(x10033,x10034,x10032,x10035))
% 191.26/191.49 [1004]~E(x10041,x10042)+E(f193(x10043,x10044,x10045,x10041),f193(x10043,x10044,x10045,x10042))
% 191.26/191.49 [1005]~E(x10051,x10052)+E(f479(x10051,x10053,x10054,x10055,x10056,x10057,x10058),f479(x10052,x10053,x10054,x10055,x10056,x10057,x10058))
% 191.26/191.49 [1006]~E(x10061,x10062)+E(f479(x10063,x10061,x10064,x10065,x10066,x10067,x10068),f479(x10063,x10062,x10064,x10065,x10066,x10067,x10068))
% 191.26/191.49 [1007]~E(x10071,x10072)+E(f479(x10073,x10074,x10071,x10075,x10076,x10077,x10078),f479(x10073,x10074,x10072,x10075,x10076,x10077,x10078))
% 191.26/191.49 [1008]~E(x10081,x10082)+E(f479(x10083,x10084,x10085,x10081,x10086,x10087,x10088),f479(x10083,x10084,x10085,x10082,x10086,x10087,x10088))
% 191.26/191.49 [1009]~E(x10091,x10092)+E(f479(x10093,x10094,x10095,x10096,x10091,x10097,x10098),f479(x10093,x10094,x10095,x10096,x10092,x10097,x10098))
% 191.26/191.49 [1010]~E(x10101,x10102)+E(f479(x10103,x10104,x10105,x10106,x10107,x10101,x10108),f479(x10103,x10104,x10105,x10106,x10107,x10102,x10108))
% 191.26/191.49 [1011]~E(x10111,x10112)+E(f479(x10113,x10114,x10115,x10116,x10117,x10118,x10111),f479(x10113,x10114,x10115,x10116,x10117,x10118,x10112))
% 191.26/191.49 [1012]~E(x10121,x10122)+E(f90(x10121),f90(x10122))
% 191.26/191.49 [1013]~E(x10131,x10132)+E(f792(x10131,x10133,x10134,x10135),f792(x10132,x10133,x10134,x10135))
% 191.26/191.49 [1014]~E(x10141,x10142)+E(f792(x10143,x10141,x10144,x10145),f792(x10143,x10142,x10144,x10145))
% 191.26/191.49 [1015]~E(x10151,x10152)+E(f792(x10153,x10154,x10151,x10155),f792(x10153,x10154,x10152,x10155))
% 191.26/191.49 [1016]~E(x10161,x10162)+E(f792(x10163,x10164,x10165,x10161),f792(x10163,x10164,x10165,x10162))
% 191.26/191.49 [1017]~E(x10171,x10172)+E(f242(x10171,x10173),f242(x10172,x10173))
% 191.26/191.49 [1018]~E(x10181,x10182)+E(f242(x10183,x10181),f242(x10183,x10182))
% 191.26/191.49 [1019]~E(x10191,x10192)+E(f395(x10191,x10193,x10194,x10195,x10196),f395(x10192,x10193,x10194,x10195,x10196))
% 191.26/191.49 [1020]~E(x10201,x10202)+E(f395(x10203,x10201,x10204,x10205,x10206),f395(x10203,x10202,x10204,x10205,x10206))
% 191.26/191.49 [1021]~E(x10211,x10212)+E(f395(x10213,x10214,x10211,x10215,x10216),f395(x10213,x10214,x10212,x10215,x10216))
% 191.26/191.49 [1022]~E(x10221,x10222)+E(f395(x10223,x10224,x10225,x10221,x10226),f395(x10223,x10224,x10225,x10222,x10226))
% 191.26/191.49 [1023]~E(x10231,x10232)+E(f395(x10233,x10234,x10235,x10236,x10231),f395(x10233,x10234,x10235,x10236,x10232))
% 191.26/191.49 [1024]~E(x10241,x10242)+E(f335(x10241),f335(x10242))
% 191.26/191.49 [1025]~E(x10251,x10252)+E(f474(x10251,x10253,x10254),f474(x10252,x10253,x10254))
% 191.26/191.49 [1026]~E(x10261,x10262)+E(f474(x10263,x10261,x10264),f474(x10263,x10262,x10264))
% 191.26/191.49 [1027]~E(x10271,x10272)+E(f474(x10273,x10274,x10271),f474(x10273,x10274,x10272))
% 191.26/191.49 [1028]~E(x10281,x10282)+E(f418(x10281,x10283,x10284,x10285),f418(x10282,x10283,x10284,x10285))
% 191.26/191.49 [1029]~E(x10291,x10292)+E(f418(x10293,x10291,x10294,x10295),f418(x10293,x10292,x10294,x10295))
% 191.26/191.49 [1030]~E(x10301,x10302)+E(f418(x10303,x10304,x10301,x10305),f418(x10303,x10304,x10302,x10305))
% 191.26/191.49 [1031]~E(x10311,x10312)+E(f418(x10313,x10314,x10315,x10311),f418(x10313,x10314,x10315,x10312))
% 191.26/191.49 [1032]~E(x10321,x10322)+E(f460(x10321,x10323,x10324),f460(x10322,x10323,x10324))
% 191.26/191.49 [1033]~E(x10331,x10332)+E(f460(x10333,x10331,x10334),f460(x10333,x10332,x10334))
% 191.26/191.49 [1034]~E(x10341,x10342)+E(f460(x10343,x10344,x10341),f460(x10343,x10344,x10342))
% 191.26/191.49 [1035]~E(x10351,x10352)+E(f653(x10351,x10353,x10354,x10355),f653(x10352,x10353,x10354,x10355))
% 191.26/191.49 [1036]~E(x10361,x10362)+E(f653(x10363,x10361,x10364,x10365),f653(x10363,x10362,x10364,x10365))
% 191.26/191.49 [1037]~E(x10371,x10372)+E(f653(x10373,x10374,x10371,x10375),f653(x10373,x10374,x10372,x10375))
% 191.26/191.49 [1038]~E(x10381,x10382)+E(f653(x10383,x10384,x10385,x10381),f653(x10383,x10384,x10385,x10382))
% 191.26/191.49 [1039]~E(x10391,x10392)+E(f762(x10391,x10393),f762(x10392,x10393))
% 191.26/191.49 [1040]~E(x10401,x10402)+E(f762(x10403,x10401),f762(x10403,x10402))
% 191.26/191.49 [1041]~E(x10411,x10412)+E(f748(x10411,x10413,x10414,x10415),f748(x10412,x10413,x10414,x10415))
% 191.26/191.49 [1042]~E(x10421,x10422)+E(f748(x10423,x10421,x10424,x10425),f748(x10423,x10422,x10424,x10425))
% 191.26/191.49 [1043]~E(x10431,x10432)+E(f748(x10433,x10434,x10431,x10435),f748(x10433,x10434,x10432,x10435))
% 191.26/191.49 [1044]~E(x10441,x10442)+E(f748(x10443,x10444,x10445,x10441),f748(x10443,x10444,x10445,x10442))
% 191.26/191.49 [1045]~E(x10451,x10452)+E(f900(x10451,x10453,x10454),f900(x10452,x10453,x10454))
% 191.26/191.49 [1046]~E(x10461,x10462)+E(f900(x10463,x10461,x10464),f900(x10463,x10462,x10464))
% 191.26/191.49 [1047]~E(x10471,x10472)+E(f900(x10473,x10474,x10471),f900(x10473,x10474,x10472))
% 191.26/191.49 [1048]~E(x10481,x10482)+E(f854(x10481,x10483,x10484),f854(x10482,x10483,x10484))
% 191.26/191.49 [1049]~E(x10491,x10492)+E(f854(x10493,x10491,x10494),f854(x10493,x10492,x10494))
% 191.26/191.49 [1050]~E(x10501,x10502)+E(f854(x10503,x10504,x10501),f854(x10503,x10504,x10502))
% 191.26/191.49 [1051]~E(x10511,x10512)+E(f255(x10511,x10513,x10514),f255(x10512,x10513,x10514))
% 191.26/191.49 [1052]~E(x10521,x10522)+E(f255(x10523,x10521,x10524),f255(x10523,x10522,x10524))
% 191.26/191.49 [1053]~E(x10531,x10532)+E(f255(x10533,x10534,x10531),f255(x10533,x10534,x10532))
% 191.26/191.49 [1054]~E(x10541,x10542)+E(f629(x10541,x10543,x10544,x10545,x10546,x10547,x10548),f629(x10542,x10543,x10544,x10545,x10546,x10547,x10548))
% 191.26/191.49 [1055]~E(x10551,x10552)+E(f629(x10553,x10551,x10554,x10555,x10556,x10557,x10558),f629(x10553,x10552,x10554,x10555,x10556,x10557,x10558))
% 191.26/191.49 [1056]~E(x10561,x10562)+E(f629(x10563,x10564,x10561,x10565,x10566,x10567,x10568),f629(x10563,x10564,x10562,x10565,x10566,x10567,x10568))
% 191.26/191.49 [1057]~E(x10571,x10572)+E(f629(x10573,x10574,x10575,x10571,x10576,x10577,x10578),f629(x10573,x10574,x10575,x10572,x10576,x10577,x10578))
% 191.26/191.49 [1058]~E(x10581,x10582)+E(f629(x10583,x10584,x10585,x10586,x10581,x10587,x10588),f629(x10583,x10584,x10585,x10586,x10582,x10587,x10588))
% 191.26/191.49 [1059]~E(x10591,x10592)+E(f629(x10593,x10594,x10595,x10596,x10597,x10591,x10598),f629(x10593,x10594,x10595,x10596,x10597,x10592,x10598))
% 191.26/191.49 [1060]~E(x10601,x10602)+E(f629(x10603,x10604,x10605,x10606,x10607,x10608,x10601),f629(x10603,x10604,x10605,x10606,x10607,x10608,x10602))
% 191.26/191.49 [1061]~E(x10611,x10612)+E(f321(x10611,x10613,x10614,x10615),f321(x10612,x10613,x10614,x10615))
% 191.26/191.49 [1062]~E(x10621,x10622)+E(f321(x10623,x10621,x10624,x10625),f321(x10623,x10622,x10624,x10625))
% 191.26/191.49 [1063]~E(x10631,x10632)+E(f321(x10633,x10634,x10631,x10635),f321(x10633,x10634,x10632,x10635))
% 191.26/191.49 [1064]~E(x10641,x10642)+E(f321(x10643,x10644,x10645,x10641),f321(x10643,x10644,x10645,x10642))
% 191.26/191.49 [1065]~E(x10651,x10652)+E(f152(x10651,x10653,x10654,x10655,x10656),f152(x10652,x10653,x10654,x10655,x10656))
% 191.26/191.49 [1066]~E(x10661,x10662)+E(f152(x10663,x10661,x10664,x10665,x10666),f152(x10663,x10662,x10664,x10665,x10666))
% 191.26/191.49 [1067]~E(x10671,x10672)+E(f152(x10673,x10674,x10671,x10675,x10676),f152(x10673,x10674,x10672,x10675,x10676))
% 191.26/191.49 [1068]~E(x10681,x10682)+E(f152(x10683,x10684,x10685,x10681,x10686),f152(x10683,x10684,x10685,x10682,x10686))
% 191.26/191.49 [1069]~E(x10691,x10692)+E(f152(x10693,x10694,x10695,x10696,x10691),f152(x10693,x10694,x10695,x10696,x10692))
% 191.26/191.49 [1070]~E(x10701,x10702)+E(f243(x10701,x10703),f243(x10702,x10703))
% 191.26/191.49 [1071]~E(x10711,x10712)+E(f243(x10713,x10711),f243(x10713,x10712))
% 191.26/191.49 [1072]~E(x10721,x10722)+E(f478(x10721,x10723,x10724,x10725,x10726),f478(x10722,x10723,x10724,x10725,x10726))
% 191.26/191.49 [1073]~E(x10731,x10732)+E(f478(x10733,x10731,x10734,x10735,x10736),f478(x10733,x10732,x10734,x10735,x10736))
% 191.26/191.49 [1074]~E(x10741,x10742)+E(f478(x10743,x10744,x10741,x10745,x10746),f478(x10743,x10744,x10742,x10745,x10746))
% 191.26/191.49 [1075]~E(x10751,x10752)+E(f478(x10753,x10754,x10755,x10751,x10756),f478(x10753,x10754,x10755,x10752,x10756))
% 191.26/191.49 [1076]~E(x10761,x10762)+E(f478(x10763,x10764,x10765,x10766,x10761),f478(x10763,x10764,x10765,x10766,x10762))
% 191.26/191.49 [1077]~E(x10771,x10772)+E(f368(x10771,x10773,x10774),f368(x10772,x10773,x10774))
% 191.26/191.49 [1078]~E(x10781,x10782)+E(f368(x10783,x10781,x10784),f368(x10783,x10782,x10784))
% 191.26/191.49 [1079]~E(x10791,x10792)+E(f368(x10793,x10794,x10791),f368(x10793,x10794,x10792))
% 191.26/191.49 [1080]~E(x10801,x10802)+E(f388(x10801,x10803,x10804,x10805),f388(x10802,x10803,x10804,x10805))
% 191.26/191.49 [1081]~E(x10811,x10812)+E(f388(x10813,x10811,x10814,x10815),f388(x10813,x10812,x10814,x10815))
% 191.26/191.49 [1082]~E(x10821,x10822)+E(f388(x10823,x10824,x10821,x10825),f388(x10823,x10824,x10822,x10825))
% 191.26/191.49 [1083]~E(x10831,x10832)+E(f388(x10833,x10834,x10835,x10831),f388(x10833,x10834,x10835,x10832))
% 191.26/191.49 [1084]~E(x10841,x10842)+E(f766(x10841,x10843,x10844,x10845),f766(x10842,x10843,x10844,x10845))
% 191.26/191.49 [1085]~E(x10851,x10852)+E(f766(x10853,x10851,x10854,x10855),f766(x10853,x10852,x10854,x10855))
% 191.26/191.49 [1086]~E(x10861,x10862)+E(f766(x10863,x10864,x10861,x10865),f766(x10863,x10864,x10862,x10865))
% 191.26/191.49 [1087]~E(x10871,x10872)+E(f766(x10873,x10874,x10875,x10871),f766(x10873,x10874,x10875,x10872))
% 191.26/191.49 [1088]~E(x10881,x10882)+E(f803(x10881,x10883,x10884,x10885,x10886),f803(x10882,x10883,x10884,x10885,x10886))
% 191.26/191.49 [1089]~E(x10891,x10892)+E(f803(x10893,x10891,x10894,x10895,x10896),f803(x10893,x10892,x10894,x10895,x10896))
% 191.26/191.49 [1090]~E(x10901,x10902)+E(f803(x10903,x10904,x10901,x10905,x10906),f803(x10903,x10904,x10902,x10905,x10906))
% 191.26/191.49 [1091]~E(x10911,x10912)+E(f803(x10913,x10914,x10915,x10911,x10916),f803(x10913,x10914,x10915,x10912,x10916))
% 191.26/191.49 [1092]~E(x10921,x10922)+E(f803(x10923,x10924,x10925,x10926,x10921),f803(x10923,x10924,x10925,x10926,x10922))
% 191.26/191.49 [1093]~E(x10931,x10932)+E(f644(x10931,x10933,x10934,x10935,x10936,x10937,x10938,x10939),f644(x10932,x10933,x10934,x10935,x10936,x10937,x10938,x10939))
% 191.26/191.49 [1094]~E(x10941,x10942)+E(f644(x10943,x10941,x10944,x10945,x10946,x10947,x10948,x10949),f644(x10943,x10942,x10944,x10945,x10946,x10947,x10948,x10949))
% 191.26/191.49 [1095]~E(x10951,x10952)+E(f644(x10953,x10954,x10951,x10955,x10956,x10957,x10958,x10959),f644(x10953,x10954,x10952,x10955,x10956,x10957,x10958,x10959))
% 191.26/191.49 [1096]~E(x10961,x10962)+E(f644(x10963,x10964,x10965,x10961,x10966,x10967,x10968,x10969),f644(x10963,x10964,x10965,x10962,x10966,x10967,x10968,x10969))
% 191.26/191.49 [1097]~E(x10971,x10972)+E(f644(x10973,x10974,x10975,x10976,x10971,x10977,x10978,x10979),f644(x10973,x10974,x10975,x10976,x10972,x10977,x10978,x10979))
% 191.26/191.49 [1098]~E(x10981,x10982)+E(f644(x10983,x10984,x10985,x10986,x10987,x10981,x10988,x10989),f644(x10983,x10984,x10985,x10986,x10987,x10982,x10988,x10989))
% 191.26/191.49 [1099]~E(x10991,x10992)+E(f644(x10993,x10994,x10995,x10996,x10997,x10998,x10991,x10999),f644(x10993,x10994,x10995,x10996,x10997,x10998,x10992,x10999))
% 191.26/191.49 [1100]~E(x11001,x11002)+E(f644(x11003,x11004,x11005,x11006,x11007,x11008,x11009,x11001),f644(x11003,x11004,x11005,x11006,x11007,x11008,x11009,x11002))
% 191.26/191.49 [1101]~E(x11011,x11012)+E(f421(x11011,x11013,x11014,x11015),f421(x11012,x11013,x11014,x11015))
% 191.26/191.49 [1102]~E(x11021,x11022)+E(f421(x11023,x11021,x11024,x11025),f421(x11023,x11022,x11024,x11025))
% 191.26/191.49 [1103]~E(x11031,x11032)+E(f421(x11033,x11034,x11031,x11035),f421(x11033,x11034,x11032,x11035))
% 191.26/191.49 [1104]~E(x11041,x11042)+E(f421(x11043,x11044,x11045,x11041),f421(x11043,x11044,x11045,x11042))
% 191.26/191.49 [1105]~E(x11051,x11052)+E(f739(x11051,x11053,x11054),f739(x11052,x11053,x11054))
% 191.26/191.49 [1106]~E(x11061,x11062)+E(f739(x11063,x11061,x11064),f739(x11063,x11062,x11064))
% 191.26/191.49 [1107]~E(x11071,x11072)+E(f739(x11073,x11074,x11071),f739(x11073,x11074,x11072))
% 191.26/191.49 [1108]~E(x11081,x11082)+E(f726(x11081,x11083,x11084,x11085),f726(x11082,x11083,x11084,x11085))
% 191.26/191.49 [1109]~E(x11091,x11092)+E(f726(x11093,x11091,x11094,x11095),f726(x11093,x11092,x11094,x11095))
% 191.26/191.49 [1110]~E(x11101,x11102)+E(f726(x11103,x11104,x11101,x11105),f726(x11103,x11104,x11102,x11105))
% 191.26/191.49 [1111]~E(x11111,x11112)+E(f726(x11113,x11114,x11115,x11111),f726(x11113,x11114,x11115,x11112))
% 191.26/191.49 [1112]~E(x11121,x11122)+E(f200(x11121,x11123,x11124,x11125),f200(x11122,x11123,x11124,x11125))
% 191.26/191.49 [1113]~E(x11131,x11132)+E(f200(x11133,x11131,x11134,x11135),f200(x11133,x11132,x11134,x11135))
% 191.26/191.49 [1114]~E(x11141,x11142)+E(f200(x11143,x11144,x11141,x11145),f200(x11143,x11144,x11142,x11145))
% 191.26/191.49 [1115]~E(x11151,x11152)+E(f200(x11153,x11154,x11155,x11151),f200(x11153,x11154,x11155,x11152))
% 191.26/191.49 [1116]~E(x11161,x11162)+E(f359(x11161,x11163),f359(x11162,x11163))
% 191.26/191.49 [1117]~E(x11171,x11172)+E(f359(x11173,x11171),f359(x11173,x11172))
% 191.26/191.49 [1118]~E(x11181,x11182)+E(f406(x11181,x11183,x11184),f406(x11182,x11183,x11184))
% 191.26/191.49 [1119]~E(x11191,x11192)+E(f406(x11193,x11191,x11194),f406(x11193,x11192,x11194))
% 191.26/191.49 [1120]~E(x11201,x11202)+E(f406(x11203,x11204,x11201),f406(x11203,x11204,x11202))
% 191.26/191.49 [1121]~E(x11211,x11212)+E(f19(x11211,x11213,x11214,x11215),f19(x11212,x11213,x11214,x11215))
% 191.26/191.49 [1122]~E(x11221,x11222)+E(f19(x11223,x11221,x11224,x11225),f19(x11223,x11222,x11224,x11225))
% 191.26/191.49 [1123]~E(x11231,x11232)+E(f19(x11233,x11234,x11231,x11235),f19(x11233,x11234,x11232,x11235))
% 191.26/191.49 [1124]~E(x11241,x11242)+E(f19(x11243,x11244,x11245,x11241),f19(x11243,x11244,x11245,x11242))
% 191.26/191.49 [1125]~E(x11251,x11252)+E(f272(x11251),f272(x11252))
% 191.26/191.49 [1126]~E(x11261,x11262)+E(f445(x11261),f445(x11262))
% 191.26/191.49 [1127]~E(x11271,x11272)+E(f432(x11271,x11273),f432(x11272,x11273))
% 191.26/191.49 [1128]~E(x11281,x11282)+E(f432(x11283,x11281),f432(x11283,x11282))
% 191.26/191.49 [1129]~E(x11291,x11292)+E(f132(x11291,x11293),f132(x11292,x11293))
% 191.26/191.49 [1130]~E(x11301,x11302)+E(f132(x11303,x11301),f132(x11303,x11302))
% 191.26/191.49 [1131]~E(x11311,x11312)+E(f135(x11311,x11313),f135(x11312,x11313))
% 191.26/191.49 [1132]~E(x11321,x11322)+E(f135(x11323,x11321),f135(x11323,x11322))
% 191.26/191.49 [1133]~E(x11331,x11332)+E(f133(x11331),f133(x11332))
% 191.26/191.49 [1134]~E(x11341,x11342)+E(f862(x11341,x11343),f862(x11342,x11343))
% 191.26/191.49 [1135]~E(x11351,x11352)+E(f862(x11353,x11351),f862(x11353,x11352))
% 191.26/191.49 [1136]~E(x11361,x11362)+E(f841(x11361,x11363,x11364,x11365,x11366,x11367),f841(x11362,x11363,x11364,x11365,x11366,x11367))
% 191.26/191.49 [1137]~E(x11371,x11372)+E(f841(x11373,x11371,x11374,x11375,x11376,x11377),f841(x11373,x11372,x11374,x11375,x11376,x11377))
% 191.26/191.49 [1138]~E(x11381,x11382)+E(f841(x11383,x11384,x11381,x11385,x11386,x11387),f841(x11383,x11384,x11382,x11385,x11386,x11387))
% 191.26/191.49 [1139]~E(x11391,x11392)+E(f841(x11393,x11394,x11395,x11391,x11396,x11397),f841(x11393,x11394,x11395,x11392,x11396,x11397))
% 191.26/191.49 [1140]~E(x11401,x11402)+E(f841(x11403,x11404,x11405,x11406,x11401,x11407),f841(x11403,x11404,x11405,x11406,x11402,x11407))
% 191.26/191.49 [1141]~E(x11411,x11412)+E(f841(x11413,x11414,x11415,x11416,x11417,x11411),f841(x11413,x11414,x11415,x11416,x11417,x11412))
% 191.26/191.49 [1142]~E(x11421,x11422)+E(f131(x11421,x11423,x11424,x11425,x11426),f131(x11422,x11423,x11424,x11425,x11426))
% 191.26/191.49 [1143]~E(x11431,x11432)+E(f131(x11433,x11431,x11434,x11435,x11436),f131(x11433,x11432,x11434,x11435,x11436))
% 191.26/191.49 [1144]~E(x11441,x11442)+E(f131(x11443,x11444,x11441,x11445,x11446),f131(x11443,x11444,x11442,x11445,x11446))
% 191.26/191.49 [1145]~E(x11451,x11452)+E(f131(x11453,x11454,x11455,x11451,x11456),f131(x11453,x11454,x11455,x11452,x11456))
% 191.26/191.49 [1146]~E(x11461,x11462)+E(f131(x11463,x11464,x11465,x11466,x11461),f131(x11463,x11464,x11465,x11466,x11462))
% 191.26/191.49 [1147]~E(x11471,x11472)+E(f470(x11471,x11473,x11474,x11475,x11476),f470(x11472,x11473,x11474,x11475,x11476))
% 191.26/191.49 [1148]~E(x11481,x11482)+E(f470(x11483,x11481,x11484,x11485,x11486),f470(x11483,x11482,x11484,x11485,x11486))
% 191.26/191.49 [1149]~E(x11491,x11492)+E(f470(x11493,x11494,x11491,x11495,x11496),f470(x11493,x11494,x11492,x11495,x11496))
% 191.26/191.49 [1150]~E(x11501,x11502)+E(f470(x11503,x11504,x11505,x11501,x11506),f470(x11503,x11504,x11505,x11502,x11506))
% 191.26/191.49 [1151]~E(x11511,x11512)+E(f470(x11513,x11514,x11515,x11516,x11511),f470(x11513,x11514,x11515,x11516,x11512))
% 191.26/191.49 [1152]~E(x11521,x11522)+E(f582(x11521,x11523,x11524),f582(x11522,x11523,x11524))
% 191.26/191.49 [1153]~E(x11531,x11532)+E(f582(x11533,x11531,x11534),f582(x11533,x11532,x11534))
% 191.26/191.49 [1154]~E(x11541,x11542)+E(f582(x11543,x11544,x11541),f582(x11543,x11544,x11542))
% 191.26/191.49 [1155]~E(x11551,x11552)+E(f675(x11551,x11553,x11554,x11555),f675(x11552,x11553,x11554,x11555))
% 191.26/191.49 [1156]~E(x11561,x11562)+E(f675(x11563,x11561,x11564,x11565),f675(x11563,x11562,x11564,x11565))
% 191.26/191.49 [1157]~E(x11571,x11572)+E(f675(x11573,x11574,x11571,x11575),f675(x11573,x11574,x11572,x11575))
% 191.26/191.49 [1158]~E(x11581,x11582)+E(f675(x11583,x11584,x11585,x11581),f675(x11583,x11584,x11585,x11582))
% 191.26/191.49 [1159]~E(x11591,x11592)+E(f97(x11591,x11593,x11594,x11595),f97(x11592,x11593,x11594,x11595))
% 191.26/191.49 [1160]~E(x11601,x11602)+E(f97(x11603,x11601,x11604,x11605),f97(x11603,x11602,x11604,x11605))
% 191.26/191.49 [1161]~E(x11611,x11612)+E(f97(x11613,x11614,x11611,x11615),f97(x11613,x11614,x11612,x11615))
% 191.26/191.49 [1162]~E(x11621,x11622)+E(f97(x11623,x11624,x11625,x11621),f97(x11623,x11624,x11625,x11622))
% 191.26/191.49 [1163]~E(x11631,x11632)+E(f831(x11631),f831(x11632))
% 191.26/191.49 [1164]~E(x11641,x11642)+E(f76(x11641,x11643,x11644,x11645,x11646),f76(x11642,x11643,x11644,x11645,x11646))
% 191.26/191.49 [1165]~E(x11651,x11652)+E(f76(x11653,x11651,x11654,x11655,x11656),f76(x11653,x11652,x11654,x11655,x11656))
% 191.26/191.49 [1166]~E(x11661,x11662)+E(f76(x11663,x11664,x11661,x11665,x11666),f76(x11663,x11664,x11662,x11665,x11666))
% 191.26/191.49 [1167]~E(x11671,x11672)+E(f76(x11673,x11674,x11675,x11671,x11676),f76(x11673,x11674,x11675,x11672,x11676))
% 191.26/191.49 [1168]~E(x11681,x11682)+E(f76(x11683,x11684,x11685,x11686,x11681),f76(x11683,x11684,x11685,x11686,x11682))
% 191.26/191.49 [1169]~E(x11691,x11692)+E(f881(x11691,x11693),f881(x11692,x11693))
% 191.26/191.49 [1170]~E(x11701,x11702)+E(f881(x11703,x11701),f881(x11703,x11702))
% 191.26/191.49 [1171]~E(x11711,x11712)+E(f444(x11711,x11713,x11714,x11715,x11716),f444(x11712,x11713,x11714,x11715,x11716))
% 191.26/191.49 [1172]~E(x11721,x11722)+E(f444(x11723,x11721,x11724,x11725,x11726),f444(x11723,x11722,x11724,x11725,x11726))
% 191.26/191.49 [1173]~E(x11731,x11732)+E(f444(x11733,x11734,x11731,x11735,x11736),f444(x11733,x11734,x11732,x11735,x11736))
% 191.26/191.49 [1174]~E(x11741,x11742)+E(f444(x11743,x11744,x11745,x11741,x11746),f444(x11743,x11744,x11745,x11742,x11746))
% 191.26/191.49 [1175]~E(x11751,x11752)+E(f444(x11753,x11754,x11755,x11756,x11751),f444(x11753,x11754,x11755,x11756,x11752))
% 191.26/191.49 [1176]~E(x11761,x11762)+E(f203(x11761,x11763),f203(x11762,x11763))
% 191.26/191.49 [1177]~E(x11771,x11772)+E(f203(x11773,x11771),f203(x11773,x11772))
% 191.26/191.49 [1178]~E(x11781,x11782)+E(f798(x11781,x11783,x11784),f798(x11782,x11783,x11784))
% 191.26/191.49 [1179]~E(x11791,x11792)+E(f798(x11793,x11791,x11794),f798(x11793,x11792,x11794))
% 191.26/191.49 [1180]~E(x11801,x11802)+E(f798(x11803,x11804,x11801),f798(x11803,x11804,x11802))
% 191.26/191.49 [1181]~E(x11811,x11812)+E(f718(x11811,x11813,x11814,x11815,x11816),f718(x11812,x11813,x11814,x11815,x11816))
% 191.26/191.49 [1182]~E(x11821,x11822)+E(f718(x11823,x11821,x11824,x11825,x11826),f718(x11823,x11822,x11824,x11825,x11826))
% 191.26/191.49 [1183]~E(x11831,x11832)+E(f718(x11833,x11834,x11831,x11835,x11836),f718(x11833,x11834,x11832,x11835,x11836))
% 191.26/191.49 [1184]~E(x11841,x11842)+E(f718(x11843,x11844,x11845,x11841,x11846),f718(x11843,x11844,x11845,x11842,x11846))
% 191.26/191.49 [1185]~E(x11851,x11852)+E(f718(x11853,x11854,x11855,x11856,x11851),f718(x11853,x11854,x11855,x11856,x11852))
% 191.26/191.49 [1186]~E(x11861,x11862)+E(f711(x11861,x11863,x11864,x11865),f711(x11862,x11863,x11864,x11865))
% 191.26/191.49 [1187]~E(x11871,x11872)+E(f711(x11873,x11871,x11874,x11875),f711(x11873,x11872,x11874,x11875))
% 191.26/191.49 [1188]~E(x11881,x11882)+E(f711(x11883,x11884,x11881,x11885),f711(x11883,x11884,x11882,x11885))
% 191.26/191.49 [1189]~E(x11891,x11892)+E(f711(x11893,x11894,x11895,x11891),f711(x11893,x11894,x11895,x11892))
% 191.26/191.49 [1190]~E(x11901,x11902)+E(f776(x11901,x11903,x11904),f776(x11902,x11903,x11904))
% 191.26/191.49 [1191]~E(x11911,x11912)+E(f776(x11913,x11911,x11914),f776(x11913,x11912,x11914))
% 191.26/191.49 [1192]~E(x11921,x11922)+E(f776(x11923,x11924,x11921),f776(x11923,x11924,x11922))
% 191.26/191.49 [1193]~E(x11931,x11932)+E(f824(x11931,x11933,x11934,x11935),f824(x11932,x11933,x11934,x11935))
% 191.26/191.49 [1194]~E(x11941,x11942)+E(f824(x11943,x11941,x11944,x11945),f824(x11943,x11942,x11944,x11945))
% 191.26/191.49 [1195]~E(x11951,x11952)+E(f824(x11953,x11954,x11951,x11955),f824(x11953,x11954,x11952,x11955))
% 191.26/191.49 [1196]~E(x11961,x11962)+E(f824(x11963,x11964,x11965,x11961),f824(x11963,x11964,x11965,x11962))
% 191.26/191.49 [1197]~E(x11971,x11972)+E(f507(x11971,x11973,x11974),f507(x11972,x11973,x11974))
% 191.26/191.49 [1198]~E(x11981,x11982)+E(f507(x11983,x11981,x11984),f507(x11983,x11982,x11984))
% 191.26/191.49 [1199]~E(x11991,x11992)+E(f507(x11993,x11994,x11991),f507(x11993,x11994,x11992))
% 191.26/191.49 [1200]~E(x12001,x12002)+E(f608(x12001,x12003,x12004,x12005,x12006),f608(x12002,x12003,x12004,x12005,x12006))
% 191.26/191.49 [1201]~E(x12011,x12012)+E(f608(x12013,x12011,x12014,x12015,x12016),f608(x12013,x12012,x12014,x12015,x12016))
% 191.26/191.49 [1202]~E(x12021,x12022)+E(f608(x12023,x12024,x12021,x12025,x12026),f608(x12023,x12024,x12022,x12025,x12026))
% 191.26/191.49 [1203]~E(x12031,x12032)+E(f608(x12033,x12034,x12035,x12031,x12036),f608(x12033,x12034,x12035,x12032,x12036))
% 191.26/191.49 [1204]~E(x12041,x12042)+E(f608(x12043,x12044,x12045,x12046,x12041),f608(x12043,x12044,x12045,x12046,x12042))
% 191.26/191.49 [1205]~E(x12051,x12052)+E(f517(x12051,x12053,x12054,x12055,x12056,x12057),f517(x12052,x12053,x12054,x12055,x12056,x12057))
% 191.26/191.49 [1206]~E(x12061,x12062)+E(f517(x12063,x12061,x12064,x12065,x12066,x12067),f517(x12063,x12062,x12064,x12065,x12066,x12067))
% 191.26/191.49 [1207]~E(x12071,x12072)+E(f517(x12073,x12074,x12071,x12075,x12076,x12077),f517(x12073,x12074,x12072,x12075,x12076,x12077))
% 191.26/191.49 [1208]~E(x12081,x12082)+E(f517(x12083,x12084,x12085,x12081,x12086,x12087),f517(x12083,x12084,x12085,x12082,x12086,x12087))
% 191.26/191.49 [1209]~E(x12091,x12092)+E(f517(x12093,x12094,x12095,x12096,x12091,x12097),f517(x12093,x12094,x12095,x12096,x12092,x12097))
% 191.26/191.49 [1210]~E(x12101,x12102)+E(f517(x12103,x12104,x12105,x12106,x12107,x12101),f517(x12103,x12104,x12105,x12106,x12107,x12102))
% 191.26/191.49 [1211]~E(x12111,x12112)+E(f868(x12111,x12113,x12114),f868(x12112,x12113,x12114))
% 191.26/191.49 [1212]~E(x12121,x12122)+E(f868(x12123,x12121,x12124),f868(x12123,x12122,x12124))
% 191.26/191.49 [1213]~E(x12131,x12132)+E(f868(x12133,x12134,x12131),f868(x12133,x12134,x12132))
% 191.26/191.49 [1214]~E(x12141,x12142)+E(f816(x12141,x12143,x12144,x12145,x12146,x12147,x12148),f816(x12142,x12143,x12144,x12145,x12146,x12147,x12148))
% 191.26/191.49 [1215]~E(x12151,x12152)+E(f816(x12153,x12151,x12154,x12155,x12156,x12157,x12158),f816(x12153,x12152,x12154,x12155,x12156,x12157,x12158))
% 191.26/191.49 [1216]~E(x12161,x12162)+E(f816(x12163,x12164,x12161,x12165,x12166,x12167,x12168),f816(x12163,x12164,x12162,x12165,x12166,x12167,x12168))
% 191.26/191.49 [1217]~E(x12171,x12172)+E(f816(x12173,x12174,x12175,x12171,x12176,x12177,x12178),f816(x12173,x12174,x12175,x12172,x12176,x12177,x12178))
% 191.26/191.49 [1218]~E(x12181,x12182)+E(f816(x12183,x12184,x12185,x12186,x12181,x12187,x12188),f816(x12183,x12184,x12185,x12186,x12182,x12187,x12188))
% 191.26/191.49 [1219]~E(x12191,x12192)+E(f816(x12193,x12194,x12195,x12196,x12197,x12191,x12198),f816(x12193,x12194,x12195,x12196,x12197,x12192,x12198))
% 191.26/191.49 [1220]~E(x12201,x12202)+E(f816(x12203,x12204,x12205,x12206,x12207,x12208,x12201),f816(x12203,x12204,x12205,x12206,x12207,x12208,x12202))
% 191.26/191.49 [1221]~E(x12211,x12212)+E(f590(x12211,x12213,x12214),f590(x12212,x12213,x12214))
% 191.26/191.49 [1222]~E(x12221,x12222)+E(f590(x12223,x12221,x12224),f590(x12223,x12222,x12224))
% 191.26/191.49 [1223]~E(x12231,x12232)+E(f590(x12233,x12234,x12231),f590(x12233,x12234,x12232))
% 191.26/191.49 [1224]~E(x12241,x12242)+E(f523(x12241,x12243,x12244),f523(x12242,x12243,x12244))
% 191.26/191.49 [1225]~E(x12251,x12252)+E(f523(x12253,x12251,x12254),f523(x12253,x12252,x12254))
% 191.26/191.49 [1226]~E(x12261,x12262)+E(f523(x12263,x12264,x12261),f523(x12263,x12264,x12262))
% 191.26/191.49 [1227]~E(x12271,x12272)+E(f781(x12271,x12273,x12274,x12275),f781(x12272,x12273,x12274,x12275))
% 191.26/191.49 [1228]~E(x12281,x12282)+E(f781(x12283,x12281,x12284,x12285),f781(x12283,x12282,x12284,x12285))
% 191.26/191.49 [1229]~E(x12291,x12292)+E(f781(x12293,x12294,x12291,x12295),f781(x12293,x12294,x12292,x12295))
% 191.26/191.49 [1230]~E(x12301,x12302)+E(f781(x12303,x12304,x12305,x12301),f781(x12303,x12304,x12305,x12302))
% 191.26/191.49 [1231]~E(x12311,x12312)+E(f706(x12311,x12313,x12314,x12315,x12316),f706(x12312,x12313,x12314,x12315,x12316))
% 191.26/191.49 [1232]~E(x12321,x12322)+E(f706(x12323,x12321,x12324,x12325,x12326),f706(x12323,x12322,x12324,x12325,x12326))
% 191.26/191.49 [1233]~E(x12331,x12332)+E(f706(x12333,x12334,x12331,x12335,x12336),f706(x12333,x12334,x12332,x12335,x12336))
% 191.26/191.49 [1234]~E(x12341,x12342)+E(f706(x12343,x12344,x12345,x12341,x12346),f706(x12343,x12344,x12345,x12342,x12346))
% 191.26/191.49 [1235]~E(x12351,x12352)+E(f706(x12353,x12354,x12355,x12356,x12351),f706(x12353,x12354,x12355,x12356,x12352))
% 191.26/191.49 [1236]~E(x12361,x12362)+E(f441(x12361,x12363,x12364,x12365),f441(x12362,x12363,x12364,x12365))
% 191.26/191.49 [1237]~E(x12371,x12372)+E(f441(x12373,x12371,x12374,x12375),f441(x12373,x12372,x12374,x12375))
% 191.26/191.49 [1238]~E(x12381,x12382)+E(f441(x12383,x12384,x12381,x12385),f441(x12383,x12384,x12382,x12385))
% 191.26/191.49 [1239]~E(x12391,x12392)+E(f441(x12393,x12394,x12395,x12391),f441(x12393,x12394,x12395,x12392))
% 191.26/191.49 [1240]~E(x12401,x12402)+E(f276(x12401,x12403,x12404,x12405),f276(x12402,x12403,x12404,x12405))
% 191.26/191.49 [1241]~E(x12411,x12412)+E(f276(x12413,x12411,x12414,x12415),f276(x12413,x12412,x12414,x12415))
% 191.26/191.49 [1242]~E(x12421,x12422)+E(f276(x12423,x12424,x12421,x12425),f276(x12423,x12424,x12422,x12425))
% 191.26/191.49 [1243]~E(x12431,x12432)+E(f276(x12433,x12434,x12435,x12431),f276(x12433,x12434,x12435,x12432))
% 191.26/191.49 [1244]~E(x12441,x12442)+E(f857(x12441,x12443,x12444),f857(x12442,x12443,x12444))
% 191.26/191.49 [1245]~E(x12451,x12452)+E(f857(x12453,x12451,x12454),f857(x12453,x12452,x12454))
% 191.26/191.49 [1246]~E(x12461,x12462)+E(f857(x12463,x12464,x12461),f857(x12463,x12464,x12462))
% 191.26/191.49 [1247]~E(x12471,x12472)+E(f639(x12471,x12473,x12474),f639(x12472,x12473,x12474))
% 191.26/191.49 [1248]~E(x12481,x12482)+E(f639(x12483,x12481,x12484),f639(x12483,x12482,x12484))
% 191.26/191.49 [1249]~E(x12491,x12492)+E(f639(x12493,x12494,x12491),f639(x12493,x12494,x12492))
% 191.26/191.49 [1250]~E(x12501,x12502)+E(f856(x12501,x12503,x12504),f856(x12502,x12503,x12504))
% 191.26/191.49 [1251]~E(x12511,x12512)+E(f856(x12513,x12511,x12514),f856(x12513,x12512,x12514))
% 191.26/191.49 [1252]~E(x12521,x12522)+E(f856(x12523,x12524,x12521),f856(x12523,x12524,x12522))
% 191.26/191.49 [1253]~E(x12531,x12532)+E(f121(x12531,x12533,x12534),f121(x12532,x12533,x12534))
% 191.26/191.49 [1254]~E(x12541,x12542)+E(f121(x12543,x12541,x12544),f121(x12543,x12542,x12544))
% 191.26/191.49 [1255]~E(x12551,x12552)+E(f121(x12553,x12554,x12551),f121(x12553,x12554,x12552))
% 191.26/191.49 [1256]~E(x12561,x12562)+E(f647(x12561,x12563,x12564,x12565,x12566,x12567,x12568,x12569,x125610),f647(x12562,x12563,x12564,x12565,x12566,x12567,x12568,x12569,x125610))
% 191.26/191.49 [1257]~E(x12571,x12572)+E(f647(x12573,x12571,x12574,x12575,x12576,x12577,x12578,x12579,x125710),f647(x12573,x12572,x12574,x12575,x12576,x12577,x12578,x12579,x125710))
% 191.26/191.49 [1258]~E(x12581,x12582)+E(f647(x12583,x12584,x12581,x12585,x12586,x12587,x12588,x12589,x125810),f647(x12583,x12584,x12582,x12585,x12586,x12587,x12588,x12589,x125810))
% 191.26/191.49 [1259]~E(x12591,x12592)+E(f647(x12593,x12594,x12595,x12591,x12596,x12597,x12598,x12599,x125910),f647(x12593,x12594,x12595,x12592,x12596,x12597,x12598,x12599,x125910))
% 191.26/191.49 [1260]~E(x12601,x12602)+E(f647(x12603,x12604,x12605,x12606,x12601,x12607,x12608,x12609,x126010),f647(x12603,x12604,x12605,x12606,x12602,x12607,x12608,x12609,x126010))
% 191.26/191.49 [1261]~E(x12611,x12612)+E(f647(x12613,x12614,x12615,x12616,x12617,x12611,x12618,x12619,x126110),f647(x12613,x12614,x12615,x12616,x12617,x12612,x12618,x12619,x126110))
% 191.26/191.49 [1262]~E(x12621,x12622)+E(f647(x12623,x12624,x12625,x12626,x12627,x12628,x12621,x12629,x126210),f647(x12623,x12624,x12625,x12626,x12627,x12628,x12622,x12629,x126210))
% 191.26/191.49 [1263]~E(x12631,x12632)+E(f647(x12633,x12634,x12635,x12636,x12637,x12638,x12639,x12631,x126310),f647(x12633,x12634,x12635,x12636,x12637,x12638,x12639,x12632,x126310))
% 191.26/191.49 [1264]~E(x12641,x12642)+E(f647(x12643,x12644,x12645,x12646,x12647,x12648,x12649,x126410,x12641),f647(x12643,x12644,x12645,x12646,x12647,x12648,x12649,x126410,x12642))
% 191.26/191.49 [1265]~E(x12651,x12652)+E(f535(x12651,x12653),f535(x12652,x12653))
% 191.26/191.49 [1266]~E(x12661,x12662)+E(f535(x12663,x12661),f535(x12663,x12662))
% 191.26/191.49 [1267]~E(x12671,x12672)+E(f229(x12671,x12673,x12674,x12675,x12676),f229(x12672,x12673,x12674,x12675,x12676))
% 191.26/191.49 [1268]~E(x12681,x12682)+E(f229(x12683,x12681,x12684,x12685,x12686),f229(x12683,x12682,x12684,x12685,x12686))
% 191.26/191.49 [1269]~E(x12691,x12692)+E(f229(x12693,x12694,x12691,x12695,x12696),f229(x12693,x12694,x12692,x12695,x12696))
% 191.26/191.49 [1270]~E(x12701,x12702)+E(f229(x12703,x12704,x12705,x12701,x12706),f229(x12703,x12704,x12705,x12702,x12706))
% 191.26/191.49 [1271]~E(x12711,x12712)+E(f229(x12713,x12714,x12715,x12716,x12711),f229(x12713,x12714,x12715,x12716,x12712))
% 191.26/191.49 [1272]~E(x12721,x12722)+E(f585(x12721,x12723,x12724),f585(x12722,x12723,x12724))
% 191.26/191.49 [1273]~E(x12731,x12732)+E(f585(x12733,x12731,x12734),f585(x12733,x12732,x12734))
% 191.26/191.49 [1274]~E(x12741,x12742)+E(f585(x12743,x12744,x12741),f585(x12743,x12744,x12742))
% 191.26/191.49 [1275]~E(x12751,x12752)+E(f544(x12751,x12753,x12754,x12755,x12756),f544(x12752,x12753,x12754,x12755,x12756))
% 191.26/191.49 [1276]~E(x12761,x12762)+E(f544(x12763,x12761,x12764,x12765,x12766),f544(x12763,x12762,x12764,x12765,x12766))
% 191.26/191.49 [1277]~E(x12771,x12772)+E(f544(x12773,x12774,x12771,x12775,x12776),f544(x12773,x12774,x12772,x12775,x12776))
% 191.26/191.49 [1278]~E(x12781,x12782)+E(f544(x12783,x12784,x12785,x12781,x12786),f544(x12783,x12784,x12785,x12782,x12786))
% 191.26/191.49 [1279]~E(x12791,x12792)+E(f544(x12793,x12794,x12795,x12796,x12791),f544(x12793,x12794,x12795,x12796,x12792))
% 191.26/191.49 [1280]~E(x12801,x12802)+E(f400(x12801,x12803),f400(x12802,x12803))
% 191.26/191.49 [1281]~E(x12811,x12812)+E(f400(x12813,x12811),f400(x12813,x12812))
% 191.26/191.49 [1282]~E(x12821,x12822)+E(f450(x12821,x12823,x12824,x12825,x12826),f450(x12822,x12823,x12824,x12825,x12826))
% 191.26/191.49 [1283]~E(x12831,x12832)+E(f450(x12833,x12831,x12834,x12835,x12836),f450(x12833,x12832,x12834,x12835,x12836))
% 191.26/191.49 [1284]~E(x12841,x12842)+E(f450(x12843,x12844,x12841,x12845,x12846),f450(x12843,x12844,x12842,x12845,x12846))
% 191.26/191.49 [1285]~E(x12851,x12852)+E(f450(x12853,x12854,x12855,x12851,x12856),f450(x12853,x12854,x12855,x12852,x12856))
% 191.26/191.49 [1286]~E(x12861,x12862)+E(f450(x12863,x12864,x12865,x12866,x12861),f450(x12863,x12864,x12865,x12866,x12862))
% 191.26/191.49 [1287]~E(x12871,x12872)+E(f159(x12871,x12873,x12874,x12875),f159(x12872,x12873,x12874,x12875))
% 191.26/191.49 [1288]~E(x12881,x12882)+E(f159(x12883,x12881,x12884,x12885),f159(x12883,x12882,x12884,x12885))
% 191.26/191.49 [1289]~E(x12891,x12892)+E(f159(x12893,x12894,x12891,x12895),f159(x12893,x12894,x12892,x12895))
% 191.26/191.49 [1290]~E(x12901,x12902)+E(f159(x12903,x12904,x12905,x12901),f159(x12903,x12904,x12905,x12902))
% 191.26/191.49 [1291]~E(x12911,x12912)+E(f466(x12911,x12913,x12914,x12915,x12916),f466(x12912,x12913,x12914,x12915,x12916))
% 191.26/191.49 [1292]~E(x12921,x12922)+E(f466(x12923,x12921,x12924,x12925,x12926),f466(x12923,x12922,x12924,x12925,x12926))
% 191.26/191.49 [1293]~E(x12931,x12932)+E(f466(x12933,x12934,x12931,x12935,x12936),f466(x12933,x12934,x12932,x12935,x12936))
% 191.26/191.49 [1294]~E(x12941,x12942)+E(f466(x12943,x12944,x12945,x12941,x12946),f466(x12943,x12944,x12945,x12942,x12946))
% 191.26/191.49 [1295]~E(x12951,x12952)+E(f466(x12953,x12954,x12955,x12956,x12951),f466(x12953,x12954,x12955,x12956,x12952))
% 191.26/191.49 [1296]~E(x12961,x12962)+E(f222(x12961,x12963),f222(x12962,x12963))
% 191.26/191.49 [1297]~E(x12971,x12972)+E(f222(x12973,x12971),f222(x12973,x12972))
% 191.26/191.49 [1298]~E(x12981,x12982)+E(f295(x12981,x12983,x12984),f295(x12982,x12983,x12984))
% 191.26/191.49 [1299]~E(x12991,x12992)+E(f295(x12993,x12991,x12994),f295(x12993,x12992,x12994))
% 191.26/191.49 [1300]~E(x13001,x13002)+E(f295(x13003,x13004,x13001),f295(x13003,x13004,x13002))
% 191.26/191.49 [1301]~E(x13011,x13012)+E(f586(x13011,x13013,x13014,x13015),f586(x13012,x13013,x13014,x13015))
% 191.26/191.49 [1302]~E(x13021,x13022)+E(f586(x13023,x13021,x13024,x13025),f586(x13023,x13022,x13024,x13025))
% 191.26/191.49 [1303]~E(x13031,x13032)+E(f586(x13033,x13034,x13031,x13035),f586(x13033,x13034,x13032,x13035))
% 191.26/191.49 [1304]~E(x13041,x13042)+E(f586(x13043,x13044,x13045,x13041),f586(x13043,x13044,x13045,x13042))
% 191.26/191.49 [1305]~E(x13051,x13052)+E(f750(x13051,x13053),f750(x13052,x13053))
% 191.26/191.49 [1306]~E(x13061,x13062)+E(f750(x13063,x13061),f750(x13063,x13062))
% 191.26/191.49 [1307]~E(x13071,x13072)+E(f369(x13071,x13073,x13074),f369(x13072,x13073,x13074))
% 191.26/191.49 [1308]~E(x13081,x13082)+E(f369(x13083,x13081,x13084),f369(x13083,x13082,x13084))
% 191.26/191.49 [1309]~E(x13091,x13092)+E(f369(x13093,x13094,x13091),f369(x13093,x13094,x13092))
% 191.26/191.49 [1310]~E(x13101,x13102)+E(f386(x13101,x13103,x13104),f386(x13102,x13103,x13104))
% 191.26/191.49 [1311]~E(x13111,x13112)+E(f386(x13113,x13111,x13114),f386(x13113,x13112,x13114))
% 191.26/191.49 [1312]~E(x13121,x13122)+E(f386(x13123,x13124,x13121),f386(x13123,x13124,x13122))
% 191.26/191.49 [1313]~E(x13131,x13132)+E(f458(x13131,x13133,x13134,x13135,x13136),f458(x13132,x13133,x13134,x13135,x13136))
% 191.26/191.49 [1314]~E(x13141,x13142)+E(f458(x13143,x13141,x13144,x13145,x13146),f458(x13143,x13142,x13144,x13145,x13146))
% 191.26/191.49 [1315]~E(x13151,x13152)+E(f458(x13153,x13154,x13151,x13155,x13156),f458(x13153,x13154,x13152,x13155,x13156))
% 191.26/191.49 [1316]~E(x13161,x13162)+E(f458(x13163,x13164,x13165,x13161,x13166),f458(x13163,x13164,x13165,x13162,x13166))
% 191.26/191.49 [1317]~E(x13171,x13172)+E(f458(x13173,x13174,x13175,x13176,x13171),f458(x13173,x13174,x13175,x13176,x13172))
% 191.26/191.49 [1318]~E(x13181,x13182)+E(f497(x13181,x13183,x13184,x13185,x13186),f497(x13182,x13183,x13184,x13185,x13186))
% 191.26/191.49 [1319]~E(x13191,x13192)+E(f497(x13193,x13191,x13194,x13195,x13196),f497(x13193,x13192,x13194,x13195,x13196))
% 191.26/191.49 [1320]~E(x13201,x13202)+E(f497(x13203,x13204,x13201,x13205,x13206),f497(x13203,x13204,x13202,x13205,x13206))
% 191.26/191.49 [1321]~E(x13211,x13212)+E(f497(x13213,x13214,x13215,x13211,x13216),f497(x13213,x13214,x13215,x13212,x13216))
% 191.26/191.49 [1322]~E(x13221,x13222)+E(f497(x13223,x13224,x13225,x13226,x13221),f497(x13223,x13224,x13225,x13226,x13222))
% 191.26/191.49 [1323]~E(x13231,x13232)+E(f333(x13231,x13233,x13234,x13235),f333(x13232,x13233,x13234,x13235))
% 191.26/191.49 [1324]~E(x13241,x13242)+E(f333(x13243,x13241,x13244,x13245),f333(x13243,x13242,x13244,x13245))
% 191.26/191.49 [1325]~E(x13251,x13252)+E(f333(x13253,x13254,x13251,x13255),f333(x13253,x13254,x13252,x13255))
% 191.26/191.49 [1326]~E(x13261,x13262)+E(f333(x13263,x13264,x13265,x13261),f333(x13263,x13264,x13265,x13262))
% 191.26/191.49 [1327]~E(x13271,x13272)+E(f617(x13271,x13273,x13274,x13275),f617(x13272,x13273,x13274,x13275))
% 191.26/191.49 [1328]~E(x13281,x13282)+E(f617(x13283,x13281,x13284,x13285),f617(x13283,x13282,x13284,x13285))
% 191.26/191.49 [1329]~E(x13291,x13292)+E(f617(x13293,x13294,x13291,x13295),f617(x13293,x13294,x13292,x13295))
% 191.26/191.49 [1330]~E(x13301,x13302)+E(f617(x13303,x13304,x13305,x13301),f617(x13303,x13304,x13305,x13302))
% 191.26/191.49 [1331]~E(x13311,x13312)+E(f820(x13311,x13313,x13314),f820(x13312,x13313,x13314))
% 191.26/191.49 [1332]~E(x13321,x13322)+E(f820(x13323,x13321,x13324),f820(x13323,x13322,x13324))
% 191.26/191.49 [1333]~E(x13331,x13332)+E(f820(x13333,x13334,x13331),f820(x13333,x13334,x13332))
% 191.26/191.49 [1334]~E(x13341,x13342)+E(f674(x13341,x13343,x13344,x13345),f674(x13342,x13343,x13344,x13345))
% 191.26/191.49 [1335]~E(x13351,x13352)+E(f674(x13353,x13351,x13354,x13355),f674(x13353,x13352,x13354,x13355))
% 191.26/191.49 [1336]~E(x13361,x13362)+E(f674(x13363,x13364,x13361,x13365),f674(x13363,x13364,x13362,x13365))
% 191.26/191.49 [1337]~E(x13371,x13372)+E(f674(x13373,x13374,x13375,x13371),f674(x13373,x13374,x13375,x13372))
% 191.26/191.49 [1338]~E(x13381,x13382)+E(f697(x13381,x13383),f697(x13382,x13383))
% 191.26/191.49 [1339]~E(x13391,x13392)+E(f697(x13393,x13391),f697(x13393,x13392))
% 191.26/191.49 [1340]~E(x13401,x13402)+E(f392(x13401,x13403,x13404,x13405,x13406),f392(x13402,x13403,x13404,x13405,x13406))
% 191.26/191.49 [1341]~E(x13411,x13412)+E(f392(x13413,x13411,x13414,x13415,x13416),f392(x13413,x13412,x13414,x13415,x13416))
% 191.26/191.49 [1342]~E(x13421,x13422)+E(f392(x13423,x13424,x13421,x13425,x13426),f392(x13423,x13424,x13422,x13425,x13426))
% 191.26/191.49 [1343]~E(x13431,x13432)+E(f392(x13433,x13434,x13435,x13431,x13436),f392(x13433,x13434,x13435,x13432,x13436))
% 191.26/191.49 [1344]~E(x13441,x13442)+E(f392(x13443,x13444,x13445,x13446,x13441),f392(x13443,x13444,x13445,x13446,x13442))
% 191.26/191.49 [1345]~E(x13451,x13452)+E(f668(x13451,x13453,x13454,x13455),f668(x13452,x13453,x13454,x13455))
% 191.26/191.49 [1346]~E(x13461,x13462)+E(f668(x13463,x13461,x13464,x13465),f668(x13463,x13462,x13464,x13465))
% 191.26/191.49 [1347]~E(x13471,x13472)+E(f668(x13473,x13474,x13471,x13475),f668(x13473,x13474,x13472,x13475))
% 191.26/191.49 [1348]~E(x13481,x13482)+E(f668(x13483,x13484,x13485,x13481),f668(x13483,x13484,x13485,x13482))
% 191.26/191.49 [1349]~E(x13491,x13492)+E(f735(x13491,x13493,x13494),f735(x13492,x13493,x13494))
% 191.26/191.49 [1350]~E(x13501,x13502)+E(f735(x13503,x13501,x13504),f735(x13503,x13502,x13504))
% 191.26/191.49 [1351]~E(x13511,x13512)+E(f735(x13513,x13514,x13511),f735(x13513,x13514,x13512))
% 191.26/191.49 [1352]~E(x13521,x13522)+E(f592(x13521,x13523,x13524,x13525,x13526,x13527),f592(x13522,x13523,x13524,x13525,x13526,x13527))
% 191.26/191.49 [1353]~E(x13531,x13532)+E(f592(x13533,x13531,x13534,x13535,x13536,x13537),f592(x13533,x13532,x13534,x13535,x13536,x13537))
% 191.26/191.49 [1354]~E(x13541,x13542)+E(f592(x13543,x13544,x13541,x13545,x13546,x13547),f592(x13543,x13544,x13542,x13545,x13546,x13547))
% 191.26/191.49 [1355]~E(x13551,x13552)+E(f592(x13553,x13554,x13555,x13551,x13556,x13557),f592(x13553,x13554,x13555,x13552,x13556,x13557))
% 191.26/191.49 [1356]~E(x13561,x13562)+E(f592(x13563,x13564,x13565,x13566,x13561,x13567),f592(x13563,x13564,x13565,x13566,x13562,x13567))
% 191.26/191.49 [1357]~E(x13571,x13572)+E(f592(x13573,x13574,x13575,x13576,x13577,x13571),f592(x13573,x13574,x13575,x13576,x13577,x13572))
% 191.26/191.49 [1358]~E(x13581,x13582)+E(f830(x13581,x13583),f830(x13582,x13583))
% 191.26/191.49 [1359]~E(x13591,x13592)+E(f830(x13593,x13591),f830(x13593,x13592))
% 191.26/191.49 [1360]~E(x13601,x13602)+E(f433(x13601,x13603),f433(x13602,x13603))
% 191.26/191.49 [1361]~E(x13611,x13612)+E(f433(x13613,x13611),f433(x13613,x13612))
% 191.26/191.49 [1362]~E(x13621,x13622)+E(f266(x13621,x13623,x13624,x13625,x13626),f266(x13622,x13623,x13624,x13625,x13626))
% 191.26/191.49 [1363]~E(x13631,x13632)+E(f266(x13633,x13631,x13634,x13635,x13636),f266(x13633,x13632,x13634,x13635,x13636))
% 191.26/191.49 [1364]~E(x13641,x13642)+E(f266(x13643,x13644,x13641,x13645,x13646),f266(x13643,x13644,x13642,x13645,x13646))
% 191.26/191.49 [1365]~E(x13651,x13652)+E(f266(x13653,x13654,x13655,x13651,x13656),f266(x13653,x13654,x13655,x13652,x13656))
% 191.26/191.49 [1366]~E(x13661,x13662)+E(f266(x13663,x13664,x13665,x13666,x13661),f266(x13663,x13664,x13665,x13666,x13662))
% 191.26/191.49 [1367]~E(x13671,x13672)+E(f183(x13671),f183(x13672))
% 191.26/191.49 [1368]~E(x13681,x13682)+E(f341(x13681),f341(x13682))
% 191.26/191.49 [1369]~E(x13691,x13692)+E(f589(x13691,x13693,x13694),f589(x13692,x13693,x13694))
% 191.26/191.49 [1370]~E(x13701,x13702)+E(f589(x13703,x13701,x13704),f589(x13703,x13702,x13704))
% 191.26/191.49 [1371]~E(x13711,x13712)+E(f589(x13713,x13714,x13711),f589(x13713,x13714,x13712))
% 191.26/191.49 [1372]~E(x13721,x13722)+E(f683(x13721,x13723,x13724),f683(x13722,x13723,x13724))
% 191.26/191.49 [1373]~E(x13731,x13732)+E(f683(x13733,x13731,x13734),f683(x13733,x13732,x13734))
% 191.26/191.49 [1374]~E(x13741,x13742)+E(f683(x13743,x13744,x13741),f683(x13743,x13744,x13742))
% 191.26/191.49 [1375]~E(x13751,x13752)+E(f660(x13751,x13753,x13754),f660(x13752,x13753,x13754))
% 191.26/191.49 [1376]~E(x13761,x13762)+E(f660(x13763,x13761,x13764),f660(x13763,x13762,x13764))
% 191.26/191.49 [1377]~E(x13771,x13772)+E(f660(x13773,x13774,x13771),f660(x13773,x13774,x13772))
% 191.26/191.49 [1378]~E(x13781,x13782)+E(f634(x13781,x13783,x13784,x13785,x13786),f634(x13782,x13783,x13784,x13785,x13786))
% 191.26/191.49 [1379]~E(x13791,x13792)+E(f634(x13793,x13791,x13794,x13795,x13796),f634(x13793,x13792,x13794,x13795,x13796))
% 191.26/191.49 [1380]~E(x13801,x13802)+E(f634(x13803,x13804,x13801,x13805,x13806),f634(x13803,x13804,x13802,x13805,x13806))
% 191.26/191.49 [1381]~E(x13811,x13812)+E(f634(x13813,x13814,x13815,x13811,x13816),f634(x13813,x13814,x13815,x13812,x13816))
% 191.26/191.49 [1382]~E(x13821,x13822)+E(f634(x13823,x13824,x13825,x13826,x13821),f634(x13823,x13824,x13825,x13826,x13822))
% 191.26/191.49 [1383]~E(x13831,x13832)+E(f501(x13831,x13833,x13834,x13835,x13836,x13837),f501(x13832,x13833,x13834,x13835,x13836,x13837))
% 191.26/191.49 [1384]~E(x13841,x13842)+E(f501(x13843,x13841,x13844,x13845,x13846,x13847),f501(x13843,x13842,x13844,x13845,x13846,x13847))
% 191.26/191.49 [1385]~E(x13851,x13852)+E(f501(x13853,x13854,x13851,x13855,x13856,x13857),f501(x13853,x13854,x13852,x13855,x13856,x13857))
% 191.26/191.49 [1386]~E(x13861,x13862)+E(f501(x13863,x13864,x13865,x13861,x13866,x13867),f501(x13863,x13864,x13865,x13862,x13866,x13867))
% 191.26/191.49 [1387]~E(x13871,x13872)+E(f501(x13873,x13874,x13875,x13876,x13871,x13877),f501(x13873,x13874,x13875,x13876,x13872,x13877))
% 191.26/191.49 [1388]~E(x13881,x13882)+E(f501(x13883,x13884,x13885,x13886,x13887,x13881),f501(x13883,x13884,x13885,x13886,x13887,x13882))
% 191.26/191.49 [1389]~E(x13891,x13892)+E(f522(x13891,x13893,x13894),f522(x13892,x13893,x13894))
% 191.26/191.49 [1390]~E(x13901,x13902)+E(f522(x13903,x13901,x13904),f522(x13903,x13902,x13904))
% 191.26/191.49 [1391]~E(x13911,x13912)+E(f522(x13913,x13914,x13911),f522(x13913,x13914,x13912))
% 191.26/191.49 [1392]~E(x13921,x13922)+E(f349(x13921,x13923,x13924,x13925),f349(x13922,x13923,x13924,x13925))
% 191.26/191.49 [1393]~E(x13931,x13932)+E(f349(x13933,x13931,x13934,x13935),f349(x13933,x13932,x13934,x13935))
% 191.26/191.49 [1394]~E(x13941,x13942)+E(f349(x13943,x13944,x13941,x13945),f349(x13943,x13944,x13942,x13945))
% 191.26/191.49 [1395]~E(x13951,x13952)+E(f349(x13953,x13954,x13955,x13951),f349(x13953,x13954,x13955,x13952))
% 191.26/191.49 [1396]~E(x13961,x13962)+E(f672(x13961,x13963,x13964,x13965),f672(x13962,x13963,x13964,x13965))
% 191.26/191.49 [1397]~E(x13971,x13972)+E(f672(x13973,x13971,x13974,x13975),f672(x13973,x13972,x13974,x13975))
% 191.26/191.49 [1398]~E(x13981,x13982)+E(f672(x13983,x13984,x13981,x13985),f672(x13983,x13984,x13982,x13985))
% 191.26/191.49 [1399]~E(x13991,x13992)+E(f672(x13993,x13994,x13995,x13991),f672(x13993,x13994,x13995,x13992))
% 191.26/191.49 [1400]~E(x14001,x14002)+E(f696(x14001,x14003),f696(x14002,x14003))
% 191.26/191.49 [1401]~E(x14011,x14012)+E(f696(x14013,x14011),f696(x14013,x14012))
% 191.26/191.49 [1402]~E(x14021,x14022)+E(f554(x14021,x14023,x14024),f554(x14022,x14023,x14024))
% 191.26/191.49 [1403]~E(x14031,x14032)+E(f554(x14033,x14031,x14034),f554(x14033,x14032,x14034))
% 191.26/191.49 [1404]~E(x14041,x14042)+E(f554(x14043,x14044,x14041),f554(x14043,x14044,x14042))
% 191.26/191.49 [1405]~E(x14051,x14052)+E(f789(x14051,x14053,x14054),f789(x14052,x14053,x14054))
% 191.26/191.49 [1406]~E(x14061,x14062)+E(f789(x14063,x14061,x14064),f789(x14063,x14062,x14064))
% 191.26/191.49 [1407]~E(x14071,x14072)+E(f789(x14073,x14074,x14071),f789(x14073,x14074,x14072))
% 191.26/191.49 [1408]~E(x14081,x14082)+E(f656(x14081,x14083,x14084,x14085),f656(x14082,x14083,x14084,x14085))
% 191.26/191.49 [1409]~E(x14091,x14092)+E(f656(x14093,x14091,x14094,x14095),f656(x14093,x14092,x14094,x14095))
% 191.26/191.49 [1410]~E(x14101,x14102)+E(f656(x14103,x14104,x14101,x14105),f656(x14103,x14104,x14102,x14105))
% 191.26/191.49 [1411]~E(x14111,x14112)+E(f656(x14113,x14114,x14115,x14111),f656(x14113,x14114,x14115,x14112))
% 191.26/191.49 [1412]~E(x14121,x14122)+E(f767(x14121,x14123,x14124,x14125,x14126),f767(x14122,x14123,x14124,x14125,x14126))
% 191.26/191.49 [1413]~E(x14131,x14132)+E(f767(x14133,x14131,x14134,x14135,x14136),f767(x14133,x14132,x14134,x14135,x14136))
% 191.26/191.49 [1414]~E(x14141,x14142)+E(f767(x14143,x14144,x14141,x14145,x14146),f767(x14143,x14144,x14142,x14145,x14146))
% 191.26/191.49 [1415]~E(x14151,x14152)+E(f767(x14153,x14154,x14155,x14151,x14156),f767(x14153,x14154,x14155,x14152,x14156))
% 191.26/191.49 [1416]~E(x14161,x14162)+E(f767(x14163,x14164,x14165,x14166,x14161),f767(x14163,x14164,x14165,x14166,x14162))
% 191.26/191.49 [1417]~E(x14171,x14172)+E(f205(x14171),f205(x14172))
% 191.26/191.49 [1418]~E(x14181,x14182)+E(f814(x14181,x14183,x14184,x14185,x14186),f814(x14182,x14183,x14184,x14185,x14186))
% 191.26/191.49 [1419]~E(x14191,x14192)+E(f814(x14193,x14191,x14194,x14195,x14196),f814(x14193,x14192,x14194,x14195,x14196))
% 191.26/191.49 [1420]~E(x14201,x14202)+E(f814(x14203,x14204,x14201,x14205,x14206),f814(x14203,x14204,x14202,x14205,x14206))
% 191.26/191.49 [1421]~E(x14211,x14212)+E(f814(x14213,x14214,x14215,x14211,x14216),f814(x14213,x14214,x14215,x14212,x14216))
% 191.26/191.49 [1422]~E(x14221,x14222)+E(f814(x14223,x14224,x14225,x14226,x14221),f814(x14223,x14224,x14225,x14226,x14222))
% 191.26/191.49 [1423]~E(x14231,x14232)+E(f863(x14231),f863(x14232))
% 191.26/191.49 [1424]~E(x14241,x14242)+E(f691(x14241,x14243),f691(x14242,x14243))
% 191.26/191.49 [1425]~E(x14251,x14252)+E(f691(x14253,x14251),f691(x14253,x14252))
% 191.26/191.49 [1426]~E(x14261,x14262)+E(f840(x14261,x14263,x14264,x14265,x14266,x14267),f840(x14262,x14263,x14264,x14265,x14266,x14267))
% 191.26/191.49 [1427]~E(x14271,x14272)+E(f840(x14273,x14271,x14274,x14275,x14276,x14277),f840(x14273,x14272,x14274,x14275,x14276,x14277))
% 191.26/191.49 [1428]~E(x14281,x14282)+E(f840(x14283,x14284,x14281,x14285,x14286,x14287),f840(x14283,x14284,x14282,x14285,x14286,x14287))
% 191.26/191.49 [1429]~E(x14291,x14292)+E(f840(x14293,x14294,x14295,x14291,x14296,x14297),f840(x14293,x14294,x14295,x14292,x14296,x14297))
% 191.26/191.49 [1430]~E(x14301,x14302)+E(f840(x14303,x14304,x14305,x14306,x14301,x14307),f840(x14303,x14304,x14305,x14306,x14302,x14307))
% 191.26/191.49 [1431]~E(x14311,x14312)+E(f840(x14313,x14314,x14315,x14316,x14317,x14311),f840(x14313,x14314,x14315,x14316,x14317,x14312))
% 191.26/191.49 [1432]~E(x14321,x14322)+E(f224(x14321,x14323,x14324,x14325),f224(x14322,x14323,x14324,x14325))
% 191.26/191.49 [1433]~E(x14331,x14332)+E(f224(x14333,x14331,x14334,x14335),f224(x14333,x14332,x14334,x14335))
% 191.26/191.49 [1434]~E(x14341,x14342)+E(f224(x14343,x14344,x14341,x14345),f224(x14343,x14344,x14342,x14345))
% 191.26/191.49 [1435]~E(x14351,x14352)+E(f224(x14353,x14354,x14355,x14351),f224(x14353,x14354,x14355,x14352))
% 191.26/191.49 [1436]~E(x14361,x14362)+E(f782(x14361,x14363,x14364),f782(x14362,x14363,x14364))
% 191.26/191.49 [1437]~E(x14371,x14372)+E(f782(x14373,x14371,x14374),f782(x14373,x14372,x14374))
% 191.26/191.49 [1438]~E(x14381,x14382)+E(f782(x14383,x14384,x14381),f782(x14383,x14384,x14382))
% 191.26/191.49 [1439]~E(x14391,x14392)+E(f877(x14391,x14393,x14394,x14395),f877(x14392,x14393,x14394,x14395))
% 191.26/191.49 [1440]~E(x14401,x14402)+E(f877(x14403,x14401,x14404,x14405),f877(x14403,x14402,x14404,x14405))
% 191.26/191.49 [1441]~E(x14411,x14412)+E(f877(x14413,x14414,x14411,x14415),f877(x14413,x14414,x14412,x14415))
% 191.26/191.49 [1442]~E(x14421,x14422)+E(f877(x14423,x14424,x14425,x14421),f877(x14423,x14424,x14425,x14422))
% 191.26/191.49 [1443]~E(x14431,x14432)+E(f44(x14431),f44(x14432))
% 191.26/191.49 [1444]~E(x14441,x14442)+E(f54(x14441,x14443),f54(x14442,x14443))
% 191.26/191.49 [1445]~E(x14451,x14452)+E(f54(x14453,x14451),f54(x14453,x14452))
% 191.26/191.49 [1446]~E(x14461,x14462)+E(f277(x14461,x14463,x14464),f277(x14462,x14463,x14464))
% 191.26/191.49 [1447]~E(x14471,x14472)+E(f277(x14473,x14471,x14474),f277(x14473,x14472,x14474))
% 191.26/191.49 [1448]~E(x14481,x14482)+E(f277(x14483,x14484,x14481),f277(x14483,x14484,x14482))
% 191.26/191.49 [1449]~E(x14491,x14492)+E(f821(x14491,x14493,x14494),f821(x14492,x14493,x14494))
% 191.26/191.49 [1450]~E(x14501,x14502)+E(f821(x14503,x14501,x14504),f821(x14503,x14502,x14504))
% 191.26/191.49 [1451]~E(x14511,x14512)+E(f821(x14513,x14514,x14511),f821(x14513,x14514,x14512))
% 191.26/191.49 [1452]~E(x14521,x14522)+E(f623(x14521,x14523,x14524,x14525,x14526),f623(x14522,x14523,x14524,x14525,x14526))
% 191.26/191.49 [1453]~E(x14531,x14532)+E(f623(x14533,x14531,x14534,x14535,x14536),f623(x14533,x14532,x14534,x14535,x14536))
% 191.26/191.49 [1454]~E(x14541,x14542)+E(f623(x14543,x14544,x14541,x14545,x14546),f623(x14543,x14544,x14542,x14545,x14546))
% 191.26/191.49 [1455]~E(x14551,x14552)+E(f623(x14553,x14554,x14555,x14551,x14556),f623(x14553,x14554,x14555,x14552,x14556))
% 191.26/191.49 [1456]~E(x14561,x14562)+E(f623(x14563,x14564,x14565,x14566,x14561),f623(x14563,x14564,x14565,x14566,x14562))
% 191.26/191.49 [1457]~E(x14571,x14572)+E(f843(x14571,x14573,x14574),f843(x14572,x14573,x14574))
% 191.26/191.49 [1458]~E(x14581,x14582)+E(f843(x14583,x14581,x14584),f843(x14583,x14582,x14584))
% 191.26/191.49 [1459]~E(x14591,x14592)+E(f843(x14593,x14594,x14591),f843(x14593,x14594,x14592))
% 191.26/191.49 [1460]~E(x14601,x14602)+E(f533(x14601,x14603,x14604),f533(x14602,x14603,x14604))
% 191.26/191.49 [1461]~E(x14611,x14612)+E(f533(x14613,x14611,x14614),f533(x14613,x14612,x14614))
% 191.26/191.49 [1462]~E(x14621,x14622)+E(f533(x14623,x14624,x14621),f533(x14623,x14624,x14622))
% 191.26/191.49 [1463]~E(x14631,x14632)+E(f861(x14631),f861(x14632))
% 191.26/191.49 [1464]~E(x14641,x14642)+E(f235(x14641,x14643,x14644,x14645),f235(x14642,x14643,x14644,x14645))
% 191.26/191.49 [1465]~E(x14651,x14652)+E(f235(x14653,x14651,x14654,x14655),f235(x14653,x14652,x14654,x14655))
% 191.26/191.49 [1466]~E(x14661,x14662)+E(f235(x14663,x14664,x14661,x14665),f235(x14663,x14664,x14662,x14665))
% 191.26/191.49 [1467]~E(x14671,x14672)+E(f235(x14673,x14674,x14675,x14671),f235(x14673,x14674,x14675,x14672))
% 191.26/191.49 [1468]~E(x14681,x14682)+E(f342(x14681),f342(x14682))
% 191.26/191.49 [1469]~E(x14691,x14692)+E(f282(x14691,x14693,x14694,x14695),f282(x14692,x14693,x14694,x14695))
% 191.26/191.49 [1470]~E(x14701,x14702)+E(f282(x14703,x14701,x14704,x14705),f282(x14703,x14702,x14704,x14705))
% 191.26/191.49 [1471]~E(x14711,x14712)+E(f282(x14713,x14714,x14711,x14715),f282(x14713,x14714,x14712,x14715))
% 191.26/191.49 [1472]~E(x14721,x14722)+E(f282(x14723,x14724,x14725,x14721),f282(x14723,x14724,x14725,x14722))
% 191.26/191.49 [1473]~E(x14731,x14732)+E(f336(x14731),f336(x14732))
% 191.26/191.49 [1474]~E(x14741,x14742)+E(f251(x14741,x14743,x14744,x14745,x14746,x14747),f251(x14742,x14743,x14744,x14745,x14746,x14747))
% 191.26/191.49 [1475]~E(x14751,x14752)+E(f251(x14753,x14751,x14754,x14755,x14756,x14757),f251(x14753,x14752,x14754,x14755,x14756,x14757))
% 191.26/191.49 [1476]~E(x14761,x14762)+E(f251(x14763,x14764,x14761,x14765,x14766,x14767),f251(x14763,x14764,x14762,x14765,x14766,x14767))
% 191.26/191.49 [1477]~E(x14771,x14772)+E(f251(x14773,x14774,x14775,x14771,x14776,x14777),f251(x14773,x14774,x14775,x14772,x14776,x14777))
% 191.26/191.49 [1478]~E(x14781,x14782)+E(f251(x14783,x14784,x14785,x14786,x14781,x14787),f251(x14783,x14784,x14785,x14786,x14782,x14787))
% 191.26/191.49 [1479]~E(x14791,x14792)+E(f251(x14793,x14794,x14795,x14796,x14797,x14791),f251(x14793,x14794,x14795,x14796,x14797,x14792))
% 191.26/191.49 [1480]~E(x14801,x14802)+E(f553(x14801,x14803),f553(x14802,x14803))
% 191.26/191.49 [1481]~E(x14811,x14812)+E(f553(x14813,x14811),f553(x14813,x14812))
% 191.26/191.49 [1482]~E(x14821,x14822)+E(f345(x14821,x14823),f345(x14822,x14823))
% 191.26/191.49 [1483]~E(x14831,x14832)+E(f345(x14833,x14831),f345(x14833,x14832))
% 191.26/191.49 [1484]~E(x14841,x14842)+E(f300(x14841,x14843,x14844),f300(x14842,x14843,x14844))
% 191.26/191.49 [1485]~E(x14851,x14852)+E(f300(x14853,x14851,x14854),f300(x14853,x14852,x14854))
% 191.26/191.49 [1486]~E(x14861,x14862)+E(f300(x14863,x14864,x14861),f300(x14863,x14864,x14862))
% 191.26/191.49 [1487]~E(x14871,x14872)+E(f511(x14871,x14873,x14874,x14875),f511(x14872,x14873,x14874,x14875))
% 191.26/191.49 [1488]~E(x14881,x14882)+E(f511(x14883,x14881,x14884,x14885),f511(x14883,x14882,x14884,x14885))
% 191.26/191.49 [1489]~E(x14891,x14892)+E(f511(x14893,x14894,x14891,x14895),f511(x14893,x14894,x14892,x14895))
% 191.26/191.49 [1490]~E(x14901,x14902)+E(f511(x14903,x14904,x14905,x14901),f511(x14903,x14904,x14905,x14902))
% 191.26/191.49 [1491]~E(x14911,x14912)+E(f679(x14911,x14913,x14914,x14915,x14916),f679(x14912,x14913,x14914,x14915,x14916))
% 191.26/191.49 [1492]~E(x14921,x14922)+E(f679(x14923,x14921,x14924,x14925,x14926),f679(x14923,x14922,x14924,x14925,x14926))
% 191.26/191.49 [1493]~E(x14931,x14932)+E(f679(x14933,x14934,x14931,x14935,x14936),f679(x14933,x14934,x14932,x14935,x14936))
% 191.26/191.49 [1494]~E(x14941,x14942)+E(f679(x14943,x14944,x14945,x14941,x14946),f679(x14943,x14944,x14945,x14942,x14946))
% 191.26/191.49 [1495]~E(x14951,x14952)+E(f679(x14953,x14954,x14955,x14956,x14951),f679(x14953,x14954,x14955,x14956,x14952))
% 191.26/191.49 [1496]~E(x14961,x14962)+E(f532(x14961,x14963),f532(x14962,x14963))
% 191.26/191.49 [1497]~E(x14971,x14972)+E(f532(x14973,x14971),f532(x14973,x14972))
% 191.26/191.49 [1498]~E(x14981,x14982)+E(f283(x14981,x14983,x14984,x14985),f283(x14982,x14983,x14984,x14985))
% 191.26/191.49 [1499]~E(x14991,x14992)+E(f283(x14993,x14991,x14994,x14995),f283(x14993,x14992,x14994,x14995))
% 191.26/191.49 [1500]~E(x15001,x15002)+E(f283(x15003,x15004,x15001,x15005),f283(x15003,x15004,x15002,x15005))
% 191.26/191.49 [1501]~E(x15011,x15012)+E(f283(x15013,x15014,x15015,x15011),f283(x15013,x15014,x15015,x15012))
% 191.26/191.49 [1502]~E(x15021,x15022)+E(f662(x15021,x15023,x15024),f662(x15022,x15023,x15024))
% 191.26/191.49 [1503]~E(x15031,x15032)+E(f662(x15033,x15031,x15034),f662(x15033,x15032,x15034))
% 191.26/191.49 [1504]~E(x15041,x15042)+E(f662(x15043,x15044,x15041),f662(x15043,x15044,x15042))
% 191.26/191.49 [1505]~E(x15051,x15052)+E(f682(x15051,x15053,x15054,x15055,x15056),f682(x15052,x15053,x15054,x15055,x15056))
% 191.26/191.49 [1506]~E(x15061,x15062)+E(f682(x15063,x15061,x15064,x15065,x15066),f682(x15063,x15062,x15064,x15065,x15066))
% 191.26/191.49 [1507]~E(x15071,x15072)+E(f682(x15073,x15074,x15071,x15075,x15076),f682(x15073,x15074,x15072,x15075,x15076))
% 191.26/191.49 [1508]~E(x15081,x15082)+E(f682(x15083,x15084,x15085,x15081,x15086),f682(x15083,x15084,x15085,x15082,x15086))
% 191.26/191.49 [1509]~E(x15091,x15092)+E(f682(x15093,x15094,x15095,x15096,x15091),f682(x15093,x15094,x15095,x15096,x15092))
% 191.26/191.49 [1510]~E(x15101,x15102)+E(f448(x15101,x15103,x15104,x15105,x15106),f448(x15102,x15103,x15104,x15105,x15106))
% 191.26/191.49 [1511]~E(x15111,x15112)+E(f448(x15113,x15111,x15114,x15115,x15116),f448(x15113,x15112,x15114,x15115,x15116))
% 191.26/191.49 [1512]~E(x15121,x15122)+E(f448(x15123,x15124,x15121,x15125,x15126),f448(x15123,x15124,x15122,x15125,x15126))
% 191.26/191.49 [1513]~E(x15131,x15132)+E(f448(x15133,x15134,x15135,x15131,x15136),f448(x15133,x15134,x15135,x15132,x15136))
% 191.26/191.49 [1514]~E(x15141,x15142)+E(f448(x15143,x15144,x15145,x15146,x15141),f448(x15143,x15144,x15145,x15146,x15142))
% 191.26/191.49 [1515]~E(x15151,x15152)+E(f889(x15151,x15153,x15154),f889(x15152,x15153,x15154))
% 191.26/191.49 [1516]~E(x15161,x15162)+E(f889(x15163,x15161,x15164),f889(x15163,x15162,x15164))
% 191.26/191.49 [1517]~E(x15171,x15172)+E(f889(x15173,x15174,x15171),f889(x15173,x15174,x15172))
% 191.26/191.49 [1518]~E(x15181,x15182)+E(f410(x15181,x15183,x15184,x15185),f410(x15182,x15183,x15184,x15185))
% 191.26/191.49 [1519]~E(x15191,x15192)+E(f410(x15193,x15191,x15194,x15195),f410(x15193,x15192,x15194,x15195))
% 191.26/191.49 [1520]~E(x15201,x15202)+E(f410(x15203,x15204,x15201,x15205),f410(x15203,x15204,x15202,x15205))
% 191.26/191.49 [1521]~E(x15211,x15212)+E(f410(x15213,x15214,x15215,x15211),f410(x15213,x15214,x15215,x15212))
% 191.26/191.49 [1522]~E(x15221,x15222)+E(f361(x15221,x15223),f361(x15222,x15223))
% 191.26/191.49 [1523]~E(x15231,x15232)+E(f361(x15233,x15231),f361(x15233,x15232))
% 191.26/191.49 [1524]~E(x15241,x15242)+E(f271(x15241,x15243),f271(x15242,x15243))
% 191.26/191.49 [1525]~E(x15251,x15252)+E(f271(x15253,x15251),f271(x15253,x15252))
% 191.26/191.49 [1526]~E(x15261,x15262)+E(f760(x15261,x15263,x15264,x15265),f760(x15262,x15263,x15264,x15265))
% 191.26/191.49 [1527]~E(x15271,x15272)+E(f760(x15273,x15271,x15274,x15275),f760(x15273,x15272,x15274,x15275))
% 191.26/191.49 [1528]~E(x15281,x15282)+E(f760(x15283,x15284,x15281,x15285),f760(x15283,x15284,x15282,x15285))
% 191.26/191.49 [1529]~E(x15291,x15292)+E(f760(x15293,x15294,x15295,x15291),f760(x15293,x15294,x15295,x15292))
% 191.26/191.49 [1530]~E(x15301,x15302)+E(f530(x15301,x15303,x15304),f530(x15302,x15303,x15304))
% 191.26/191.49 [1531]~E(x15311,x15312)+E(f530(x15313,x15311,x15314),f530(x15313,x15312,x15314))
% 191.26/191.49 [1532]~E(x15321,x15322)+E(f530(x15323,x15324,x15321),f530(x15323,x15324,x15322))
% 191.26/191.49 [1533]~E(x15331,x15332)+E(f278(x15331,x15333),f278(x15332,x15333))
% 191.26/191.49 [1534]~E(x15341,x15342)+E(f278(x15343,x15341),f278(x15343,x15342))
% 191.26/191.49 [1535]~E(x15351,x15352)+E(f588(x15351,x15353,x15354,x15355,x15356),f588(x15352,x15353,x15354,x15355,x15356))
% 191.26/191.49 [1536]~E(x15361,x15362)+E(f588(x15363,x15361,x15364,x15365,x15366),f588(x15363,x15362,x15364,x15365,x15366))
% 191.26/191.49 [1537]~E(x15371,x15372)+E(f588(x15373,x15374,x15371,x15375,x15376),f588(x15373,x15374,x15372,x15375,x15376))
% 191.26/191.49 [1538]~E(x15381,x15382)+E(f588(x15383,x15384,x15385,x15381,x15386),f588(x15383,x15384,x15385,x15382,x15386))
% 191.26/191.49 [1539]~E(x15391,x15392)+E(f588(x15393,x15394,x15395,x15396,x15391),f588(x15393,x15394,x15395,x15396,x15392))
% 191.26/191.49 [1540]~E(x15401,x15402)+E(f619(x15401,x15403,x15404,x15405,x15406),f619(x15402,x15403,x15404,x15405,x15406))
% 191.26/191.49 [1541]~E(x15411,x15412)+E(f619(x15413,x15411,x15414,x15415,x15416),f619(x15413,x15412,x15414,x15415,x15416))
% 191.26/191.49 [1542]~E(x15421,x15422)+E(f619(x15423,x15424,x15421,x15425,x15426),f619(x15423,x15424,x15422,x15425,x15426))
% 191.26/191.49 [1543]~E(x15431,x15432)+E(f619(x15433,x15434,x15435,x15431,x15436),f619(x15433,x15434,x15435,x15432,x15436))
% 191.26/191.49 [1544]~E(x15441,x15442)+E(f619(x15443,x15444,x15445,x15446,x15441),f619(x15443,x15444,x15445,x15446,x15442))
% 191.26/191.49 [1545]~E(x15451,x15452)+E(f536(x15451,x15453),f536(x15452,x15453))
% 191.26/191.49 [1546]~E(x15461,x15462)+E(f536(x15463,x15461),f536(x15463,x15462))
% 191.26/191.49 [1547]~E(x15471,x15472)+E(f439(x15471,x15473,x15474),f439(x15472,x15473,x15474))
% 191.26/191.49 [1548]~E(x15481,x15482)+E(f439(x15483,x15481,x15484),f439(x15483,x15482,x15484))
% 191.26/191.49 [1549]~E(x15491,x15492)+E(f439(x15493,x15494,x15491),f439(x15493,x15494,x15492))
% 191.26/191.49 [1550]~E(x15501,x15502)+E(f624(x15501,x15503,x15504,x15505,x15506),f624(x15502,x15503,x15504,x15505,x15506))
% 191.26/191.49 [1551]~E(x15511,x15512)+E(f624(x15513,x15511,x15514,x15515,x15516),f624(x15513,x15512,x15514,x15515,x15516))
% 191.26/191.49 [1552]~E(x15521,x15522)+E(f624(x15523,x15524,x15521,x15525,x15526),f624(x15523,x15524,x15522,x15525,x15526))
% 191.26/191.49 [1553]~E(x15531,x15532)+E(f624(x15533,x15534,x15535,x15531,x15536),f624(x15533,x15534,x15535,x15532,x15536))
% 191.26/191.49 [1554]~E(x15541,x15542)+E(f624(x15543,x15544,x15545,x15546,x15541),f624(x15543,x15544,x15545,x15546,x15542))
% 191.26/191.49 [1555]~E(x15551,x15552)+E(f302(x15551,x15553,x15554,x15555,x15556),f302(x15552,x15553,x15554,x15555,x15556))
% 191.26/191.49 [1556]~E(x15561,x15562)+E(f302(x15563,x15561,x15564,x15565,x15566),f302(x15563,x15562,x15564,x15565,x15566))
% 191.26/191.49 [1557]~E(x15571,x15572)+E(f302(x15573,x15574,x15571,x15575,x15576),f302(x15573,x15574,x15572,x15575,x15576))
% 191.26/191.49 [1558]~E(x15581,x15582)+E(f302(x15583,x15584,x15585,x15581,x15586),f302(x15583,x15584,x15585,x15582,x15586))
% 191.26/191.49 [1559]~E(x15591,x15592)+E(f302(x15593,x15594,x15595,x15596,x15591),f302(x15593,x15594,x15595,x15596,x15592))
% 191.26/191.49 [1560]~E(x15601,x15602)+E(f496(x15601,x15603,x15604,x15605),f496(x15602,x15603,x15604,x15605))
% 191.26/191.49 [1561]~E(x15611,x15612)+E(f496(x15613,x15611,x15614,x15615),f496(x15613,x15612,x15614,x15615))
% 191.26/191.49 [1562]~E(x15621,x15622)+E(f496(x15623,x15624,x15621,x15625),f496(x15623,x15624,x15622,x15625))
% 191.26/191.49 [1563]~E(x15631,x15632)+E(f496(x15633,x15634,x15635,x15631),f496(x15633,x15634,x15635,x15632))
% 191.26/191.49 [1564]~E(x15641,x15642)+E(f500(x15641,x15643,x15644,x15645,x15646),f500(x15642,x15643,x15644,x15645,x15646))
% 191.26/191.49 [1565]~E(x15651,x15652)+E(f500(x15653,x15651,x15654,x15655,x15656),f500(x15653,x15652,x15654,x15655,x15656))
% 191.26/191.49 [1566]~E(x15661,x15662)+E(f500(x15663,x15664,x15661,x15665,x15666),f500(x15663,x15664,x15662,x15665,x15666))
% 191.26/191.49 [1567]~E(x15671,x15672)+E(f500(x15673,x15674,x15675,x15671,x15676),f500(x15673,x15674,x15675,x15672,x15676))
% 191.26/191.49 [1568]~E(x15681,x15682)+E(f500(x15683,x15684,x15685,x15686,x15681),f500(x15683,x15684,x15685,x15686,x15682))
% 191.26/191.49 [1569]~E(x15691,x15692)+E(f817(x15691,x15693),f817(x15692,x15693))
% 191.26/191.49 [1570]~E(x15701,x15702)+E(f817(x15703,x15701),f817(x15703,x15702))
% 191.26/191.49 [1571]~E(x15711,x15712)+E(f505(x15711),f505(x15712))
% 191.26/191.49 [1572]~E(x15721,x15722)+E(f626(x15721,x15723,x15724,x15725),f626(x15722,x15723,x15724,x15725))
% 191.26/191.49 [1573]~E(x15731,x15732)+E(f626(x15733,x15731,x15734,x15735),f626(x15733,x15732,x15734,x15735))
% 191.26/191.49 [1574]~E(x15741,x15742)+E(f626(x15743,x15744,x15741,x15745),f626(x15743,x15744,x15742,x15745))
% 191.26/191.49 [1575]~E(x15751,x15752)+E(f626(x15753,x15754,x15755,x15751),f626(x15753,x15754,x15755,x15752))
% 191.26/191.49 [1576]~E(x15761,x15762)+E(f442(x15761,x15763,x15764,x15765),f442(x15762,x15763,x15764,x15765))
% 191.26/191.49 [1577]~E(x15771,x15772)+E(f442(x15773,x15771,x15774,x15775),f442(x15773,x15772,x15774,x15775))
% 191.26/191.49 [1578]~E(x15781,x15782)+E(f442(x15783,x15784,x15781,x15785),f442(x15783,x15784,x15782,x15785))
% 191.26/191.49 [1579]~E(x15791,x15792)+E(f442(x15793,x15794,x15795,x15791),f442(x15793,x15794,x15795,x15792))
% 191.26/191.49 [1580]~E(x15801,x15802)+E(f778(x15801,x15803,x15804,x15805),f778(x15802,x15803,x15804,x15805))
% 191.26/191.49 [1581]~E(x15811,x15812)+E(f778(x15813,x15811,x15814,x15815),f778(x15813,x15812,x15814,x15815))
% 191.26/191.49 [1582]~E(x15821,x15822)+E(f778(x15823,x15824,x15821,x15825),f778(x15823,x15824,x15822,x15825))
% 191.26/191.49 [1583]~E(x15831,x15832)+E(f778(x15833,x15834,x15835,x15831),f778(x15833,x15834,x15835,x15832))
% 191.26/191.49 [1584]~E(x15841,x15842)+E(f149(x15841,x15843),f149(x15842,x15843))
% 191.26/191.49 [1585]~E(x15851,x15852)+E(f149(x15853,x15851),f149(x15853,x15852))
% 191.26/191.49 [1586]~E(x15861,x15862)+E(f397(x15861,x15863),f397(x15862,x15863))
% 191.26/191.49 [1587]~E(x15871,x15872)+E(f397(x15873,x15871),f397(x15873,x15872))
% 191.26/191.49 [1588]~E(x15881,x15882)+E(f871(x15881,x15883),f871(x15882,x15883))
% 191.26/191.49 [1589]~E(x15891,x15892)+E(f871(x15893,x15891),f871(x15893,x15892))
% 191.26/191.49 [1590]~E(x15901,x15902)+E(f434(x15901,x15903,x15904,x15905),f434(x15902,x15903,x15904,x15905))
% 191.26/191.49 [1591]~E(x15911,x15912)+E(f434(x15913,x15911,x15914,x15915),f434(x15913,x15912,x15914,x15915))
% 191.26/191.49 [1592]~E(x15921,x15922)+E(f434(x15923,x15924,x15921,x15925),f434(x15923,x15924,x15922,x15925))
% 191.26/191.49 [1593]~E(x15931,x15932)+E(f434(x15933,x15934,x15935,x15931),f434(x15933,x15934,x15935,x15932))
% 191.26/191.49 [1594]~E(x15941,x15942)+E(f443(x15941,x15943,x15944),f443(x15942,x15943,x15944))
% 191.26/191.49 [1595]~E(x15951,x15952)+E(f443(x15953,x15951,x15954),f443(x15953,x15952,x15954))
% 191.26/191.49 [1596]~E(x15961,x15962)+E(f443(x15963,x15964,x15961),f443(x15963,x15964,x15962))
% 191.26/191.49 [1597]~E(x15971,x15972)+E(f138(x15971),f138(x15972))
% 191.26/191.49 [1598]~E(x15981,x15982)+E(f412(x15981,x15983,x15984,x15985),f412(x15982,x15983,x15984,x15985))
% 191.26/191.49 [1599]~E(x15991,x15992)+E(f412(x15993,x15991,x15994,x15995),f412(x15993,x15992,x15994,x15995))
% 191.26/191.49 [1600]~E(x16001,x16002)+E(f412(x16003,x16004,x16001,x16005),f412(x16003,x16004,x16002,x16005))
% 191.26/191.49 [1601]~E(x16011,x16012)+E(f412(x16013,x16014,x16015,x16011),f412(x16013,x16014,x16015,x16012))
% 191.26/191.49 [1602]~E(x16021,x16022)+E(f534(x16021,x16023,x16024,x16025,x16026),f534(x16022,x16023,x16024,x16025,x16026))
% 191.26/191.49 [1603]~E(x16031,x16032)+E(f534(x16033,x16031,x16034,x16035,x16036),f534(x16033,x16032,x16034,x16035,x16036))
% 191.26/191.49 [1604]~E(x16041,x16042)+E(f534(x16043,x16044,x16041,x16045,x16046),f534(x16043,x16044,x16042,x16045,x16046))
% 191.26/191.49 [1605]~E(x16051,x16052)+E(f534(x16053,x16054,x16055,x16051,x16056),f534(x16053,x16054,x16055,x16052,x16056))
% 191.26/191.49 [1606]~E(x16061,x16062)+E(f534(x16063,x16064,x16065,x16066,x16061),f534(x16063,x16064,x16065,x16066,x16062))
% 191.26/191.49 [1607]~E(x16071,x16072)+E(f417(x16071,x16073,x16074,x16075),f417(x16072,x16073,x16074,x16075))
% 191.26/191.49 [1608]~E(x16081,x16082)+E(f417(x16083,x16081,x16084,x16085),f417(x16083,x16082,x16084,x16085))
% 191.26/191.49 [1609]~E(x16091,x16092)+E(f417(x16093,x16094,x16091,x16095),f417(x16093,x16094,x16092,x16095))
% 191.26/191.49 [1610]~E(x16101,x16102)+E(f417(x16103,x16104,x16105,x16101),f417(x16103,x16104,x16105,x16102))
% 191.26/191.49 [1611]~E(x16111,x16112)+E(f461(x16111,x16113,x16114,x16115),f461(x16112,x16113,x16114,x16115))
% 191.26/191.49 [1612]~E(x16121,x16122)+E(f461(x16123,x16121,x16124,x16125),f461(x16123,x16122,x16124,x16125))
% 191.26/191.49 [1613]~E(x16131,x16132)+E(f461(x16133,x16134,x16131,x16135),f461(x16133,x16134,x16132,x16135))
% 191.26/191.49 [1614]~E(x16141,x16142)+E(f461(x16143,x16144,x16145,x16141),f461(x16143,x16144,x16145,x16142))
% 191.26/191.49 [1615]~E(x16151,x16152)+E(f603(x16151,x16153,x16154),f603(x16152,x16153,x16154))
% 191.26/191.49 [1616]~E(x16161,x16162)+E(f603(x16163,x16161,x16164),f603(x16163,x16162,x16164))
% 191.26/191.49 [1617]~E(x16171,x16172)+E(f603(x16173,x16174,x16171),f603(x16173,x16174,x16172))
% 191.26/191.49 [1618]~E(x16181,x16182)+E(f591(x16181,x16183,x16184,x16185),f591(x16182,x16183,x16184,x16185))
% 191.26/191.49 [1619]~E(x16191,x16192)+E(f591(x16193,x16191,x16194,x16195),f591(x16193,x16192,x16194,x16195))
% 191.26/191.49 [1620]~E(x16201,x16202)+E(f591(x16203,x16204,x16201,x16205),f591(x16203,x16204,x16202,x16205))
% 191.26/191.49 [1621]~E(x16211,x16212)+E(f591(x16213,x16214,x16215,x16211),f591(x16213,x16214,x16215,x16212))
% 191.26/191.49 [1622]~E(x16221,x16222)+E(f807(x16221,x16223,x16224,x16225),f807(x16222,x16223,x16224,x16225))
% 191.26/191.49 [1623]~E(x16231,x16232)+E(f807(x16233,x16231,x16234,x16235),f807(x16233,x16232,x16234,x16235))
% 191.26/191.49 [1624]~E(x16241,x16242)+E(f807(x16243,x16244,x16241,x16245),f807(x16243,x16244,x16242,x16245))
% 191.26/191.49 [1625]~E(x16251,x16252)+E(f807(x16253,x16254,x16255,x16251),f807(x16253,x16254,x16255,x16252))
% 191.26/191.49 [1626]~E(x16261,x16262)+E(f68(x16261,x16263,x16264),f68(x16262,x16263,x16264))
% 191.26/191.49 [1627]~E(x16271,x16272)+E(f68(x16273,x16271,x16274),f68(x16273,x16272,x16274))
% 191.26/191.49 [1628]~E(x16281,x16282)+E(f68(x16283,x16284,x16281),f68(x16283,x16284,x16282))
% 191.26/191.49 [1629]~E(x16291,x16292)+E(f811(x16291,x16293,x16294,x16295,x16296,x16297,x16298),f811(x16292,x16293,x16294,x16295,x16296,x16297,x16298))
% 191.26/191.49 [1630]~E(x16301,x16302)+E(f811(x16303,x16301,x16304,x16305,x16306,x16307,x16308),f811(x16303,x16302,x16304,x16305,x16306,x16307,x16308))
% 191.26/191.49 [1631]~E(x16311,x16312)+E(f811(x16313,x16314,x16311,x16315,x16316,x16317,x16318),f811(x16313,x16314,x16312,x16315,x16316,x16317,x16318))
% 191.26/191.49 [1632]~E(x16321,x16322)+E(f811(x16323,x16324,x16325,x16321,x16326,x16327,x16328),f811(x16323,x16324,x16325,x16322,x16326,x16327,x16328))
% 191.26/191.49 [1633]~E(x16331,x16332)+E(f811(x16333,x16334,x16335,x16336,x16331,x16337,x16338),f811(x16333,x16334,x16335,x16336,x16332,x16337,x16338))
% 191.26/191.49 [1634]~E(x16341,x16342)+E(f811(x16343,x16344,x16345,x16346,x16347,x16341,x16348),f811(x16343,x16344,x16345,x16346,x16347,x16342,x16348))
% 191.26/191.49 [1635]~E(x16351,x16352)+E(f811(x16353,x16354,x16355,x16356,x16357,x16358,x16351),f811(x16353,x16354,x16355,x16356,x16357,x16358,x16352))
% 191.26/191.49 [1636]~E(x16361,x16362)+E(f452(x16361,x16363,x16364),f452(x16362,x16363,x16364))
% 191.26/191.49 [1637]~E(x16371,x16372)+E(f452(x16373,x16371,x16374),f452(x16373,x16372,x16374))
% 191.26/191.49 [1638]~E(x16381,x16382)+E(f452(x16383,x16384,x16381),f452(x16383,x16384,x16382))
% 191.26/191.49 [1639]~E(x16391,x16392)+E(f275(x16391,x16393),f275(x16392,x16393))
% 191.26/191.49 [1640]~E(x16401,x16402)+E(f275(x16403,x16401),f275(x16403,x16402))
% 191.26/191.49 [1641]~E(x16411,x16412)+E(f187(x16411,x16413,x16414),f187(x16412,x16413,x16414))
% 191.26/191.49 [1642]~E(x16421,x16422)+E(f187(x16423,x16421,x16424),f187(x16423,x16422,x16424))
% 191.26/191.49 [1643]~E(x16431,x16432)+E(f187(x16433,x16434,x16431),f187(x16433,x16434,x16432))
% 191.26/191.49 [1644]~E(x16441,x16442)+E(f558(x16441,x16443,x16444,x16445),f558(x16442,x16443,x16444,x16445))
% 191.26/191.49 [1645]~E(x16451,x16452)+E(f558(x16453,x16451,x16454,x16455),f558(x16453,x16452,x16454,x16455))
% 191.26/191.49 [1646]~E(x16461,x16462)+E(f558(x16463,x16464,x16461,x16465),f558(x16463,x16464,x16462,x16465))
% 191.26/191.49 [1647]~E(x16471,x16472)+E(f558(x16473,x16474,x16475,x16471),f558(x16473,x16474,x16475,x16472))
% 191.26/191.49 [1648]~E(x16481,x16482)+E(f685(x16481,x16483,x16484),f685(x16482,x16483,x16484))
% 191.26/191.49 [1649]~E(x16491,x16492)+E(f685(x16493,x16491,x16494),f685(x16493,x16492,x16494))
% 191.26/191.49 [1650]~E(x16501,x16502)+E(f685(x16503,x16504,x16501),f685(x16503,x16504,x16502))
% 191.26/191.49 [1651]~E(x16511,x16512)+E(f165(x16511,x16513),f165(x16512,x16513))
% 191.26/191.49 [1652]~E(x16521,x16522)+E(f165(x16523,x16521),f165(x16523,x16522))
% 191.26/191.49 [1653]~E(x16531,x16532)+E(f281(x16531),f281(x16532))
% 191.26/191.49 [1654]~E(x16541,x16542)+E(f646(x16541,x16543,x16544),f646(x16542,x16543,x16544))
% 191.26/191.49 [1655]~E(x16551,x16552)+E(f646(x16553,x16551,x16554),f646(x16553,x16552,x16554))
% 191.26/191.49 [1656]~E(x16561,x16562)+E(f646(x16563,x16564,x16561),f646(x16563,x16564,x16562))
% 191.26/191.49 [1657]~E(x16571,x16572)+E(f875(x16571,x16573,x16574,x16575,x16576,x16577,x16578),f875(x16572,x16573,x16574,x16575,x16576,x16577,x16578))
% 191.26/191.49 [1658]~E(x16581,x16582)+E(f875(x16583,x16581,x16584,x16585,x16586,x16587,x16588),f875(x16583,x16582,x16584,x16585,x16586,x16587,x16588))
% 191.26/191.49 [1659]~E(x16591,x16592)+E(f875(x16593,x16594,x16591,x16595,x16596,x16597,x16598),f875(x16593,x16594,x16592,x16595,x16596,x16597,x16598))
% 191.26/191.49 [1660]~E(x16601,x16602)+E(f875(x16603,x16604,x16605,x16601,x16606,x16607,x16608),f875(x16603,x16604,x16605,x16602,x16606,x16607,x16608))
% 191.26/191.49 [1661]~E(x16611,x16612)+E(f875(x16613,x16614,x16615,x16616,x16611,x16617,x16618),f875(x16613,x16614,x16615,x16616,x16612,x16617,x16618))
% 191.26/191.49 [1662]~E(x16621,x16622)+E(f875(x16623,x16624,x16625,x16626,x16627,x16621,x16628),f875(x16623,x16624,x16625,x16626,x16627,x16622,x16628))
% 191.26/191.49 [1663]~E(x16631,x16632)+E(f875(x16633,x16634,x16635,x16636,x16637,x16638,x16631),f875(x16633,x16634,x16635,x16636,x16637,x16638,x16632))
% 191.26/191.49 [1664]~E(x16641,x16642)+E(f734(x16641,x16643),f734(x16642,x16643))
% 191.26/191.49 [1665]~E(x16651,x16652)+E(f734(x16653,x16651),f734(x16653,x16652))
% 191.26/191.49 [1666]~E(x16661,x16662)+E(f475(x16661,x16663,x16664),f475(x16662,x16663,x16664))
% 191.26/191.49 [1667]~E(x16671,x16672)+E(f475(x16673,x16671,x16674),f475(x16673,x16672,x16674))
% 191.26/191.49 [1668]~E(x16681,x16682)+E(f475(x16683,x16684,x16681),f475(x16683,x16684,x16682))
% 191.26/191.49 [1669]~E(x16691,x16692)+E(f212(x16691),f212(x16692))
% 191.26/191.49 [1670]~E(x16701,x16702)+E(f489(x16701,x16703,x16704),f489(x16702,x16703,x16704))
% 191.26/191.49 [1671]~E(x16711,x16712)+E(f489(x16713,x16711,x16714),f489(x16713,x16712,x16714))
% 191.26/191.49 [1672]~E(x16721,x16722)+E(f489(x16723,x16724,x16721),f489(x16723,x16724,x16722))
% 191.26/191.49 [1673]~E(x16731,x16732)+E(f615(x16731,x16733,x16734,x16735,x16736),f615(x16732,x16733,x16734,x16735,x16736))
% 191.26/191.49 [1674]~E(x16741,x16742)+E(f615(x16743,x16741,x16744,x16745,x16746),f615(x16743,x16742,x16744,x16745,x16746))
% 191.26/191.49 [1675]~E(x16751,x16752)+E(f615(x16753,x16754,x16751,x16755,x16756),f615(x16753,x16754,x16752,x16755,x16756))
% 191.26/191.49 [1676]~E(x16761,x16762)+E(f615(x16763,x16764,x16765,x16761,x16766),f615(x16763,x16764,x16765,x16762,x16766))
% 191.26/191.49 [1677]~E(x16771,x16772)+E(f615(x16773,x16774,x16775,x16776,x16771),f615(x16773,x16774,x16775,x16776,x16772))
% 191.26/191.49 [1678]~E(x16781,x16782)+E(f827(x16781,x16783),f827(x16782,x16783))
% 191.26/191.49 [1679]~E(x16791,x16792)+E(f827(x16793,x16791),f827(x16793,x16792))
% 191.26/191.49 [1680]~E(x16801,x16802)+E(f783(x16801,x16803,x16804),f783(x16802,x16803,x16804))
% 191.26/191.49 [1681]~E(x16811,x16812)+E(f783(x16813,x16811,x16814),f783(x16813,x16812,x16814))
% 191.26/191.49 [1682]~E(x16821,x16822)+E(f783(x16823,x16824,x16821),f783(x16823,x16824,x16822))
% 191.26/191.49 [1683]~E(x16831,x16832)+E(f604(x16831,x16833,x16834),f604(x16832,x16833,x16834))
% 191.26/191.49 [1684]~E(x16841,x16842)+E(f604(x16843,x16841,x16844),f604(x16843,x16842,x16844))
% 191.26/191.49 [1685]~E(x16851,x16852)+E(f604(x16853,x16854,x16851),f604(x16853,x16854,x16852))
% 191.26/191.49 [1686]~E(x16861,x16862)+E(f485(x16861,x16863,x16864),f485(x16862,x16863,x16864))
% 191.26/191.49 [1687]~E(x16871,x16872)+E(f485(x16873,x16871,x16874),f485(x16873,x16872,x16874))
% 191.26/191.49 [1688]~E(x16881,x16882)+E(f485(x16883,x16884,x16881),f485(x16883,x16884,x16882))
% 191.26/191.49 [1689]~E(x16891,x16892)+E(f690(x16891,x16893,x16894,x16895),f690(x16892,x16893,x16894,x16895))
% 191.26/191.49 [1690]~E(x16901,x16902)+E(f690(x16903,x16901,x16904,x16905),f690(x16903,x16902,x16904,x16905))
% 191.26/191.49 [1691]~E(x16911,x16912)+E(f690(x16913,x16914,x16911,x16915),f690(x16913,x16914,x16912,x16915))
% 191.26/191.49 [1692]~E(x16921,x16922)+E(f690(x16923,x16924,x16925,x16921),f690(x16923,x16924,x16925,x16922))
% 191.26/191.49 [1693]~E(x16931,x16932)+E(f440(x16931,x16933,x16934,x16935),f440(x16932,x16933,x16934,x16935))
% 191.26/191.49 [1694]~E(x16941,x16942)+E(f440(x16943,x16941,x16944,x16945),f440(x16943,x16942,x16944,x16945))
% 191.26/191.49 [1695]~E(x16951,x16952)+E(f440(x16953,x16954,x16951,x16955),f440(x16953,x16954,x16952,x16955))
% 191.26/191.49 [1696]~E(x16961,x16962)+E(f440(x16963,x16964,x16965,x16961),f440(x16963,x16964,x16965,x16962))
% 191.26/191.49 [1697]~E(x16971,x16972)+E(f339(x16971,x16973,x16974),f339(x16972,x16973,x16974))
% 191.26/191.49 [1698]~E(x16981,x16982)+E(f339(x16983,x16981,x16984),f339(x16983,x16982,x16984))
% 191.26/191.49 [1699]~E(x16991,x16992)+E(f339(x16993,x16994,x16991),f339(x16993,x16994,x16992))
% 191.26/191.49 [1700]~E(x17001,x17002)+E(f601(x17001,x17003),f601(x17002,x17003))
% 191.26/191.49 [1701]~E(x17011,x17012)+E(f601(x17013,x17011),f601(x17013,x17012))
% 191.26/191.49 [1702]~E(x17021,x17022)+E(f758(x17021,x17023,x17024,x17025,x17026,x17027,x17028,x17029),f758(x17022,x17023,x17024,x17025,x17026,x17027,x17028,x17029))
% 191.26/191.49 [1703]~E(x17031,x17032)+E(f758(x17033,x17031,x17034,x17035,x17036,x17037,x17038,x17039),f758(x17033,x17032,x17034,x17035,x17036,x17037,x17038,x17039))
% 191.26/191.49 [1704]~E(x17041,x17042)+E(f758(x17043,x17044,x17041,x17045,x17046,x17047,x17048,x17049),f758(x17043,x17044,x17042,x17045,x17046,x17047,x17048,x17049))
% 191.26/191.49 [1705]~E(x17051,x17052)+E(f758(x17053,x17054,x17055,x17051,x17056,x17057,x17058,x17059),f758(x17053,x17054,x17055,x17052,x17056,x17057,x17058,x17059))
% 191.26/191.49 [1706]~E(x17061,x17062)+E(f758(x17063,x17064,x17065,x17066,x17061,x17067,x17068,x17069),f758(x17063,x17064,x17065,x17066,x17062,x17067,x17068,x17069))
% 191.26/191.49 [1707]~E(x17071,x17072)+E(f758(x17073,x17074,x17075,x17076,x17077,x17071,x17078,x17079),f758(x17073,x17074,x17075,x17076,x17077,x17072,x17078,x17079))
% 191.26/191.49 [1708]~E(x17081,x17082)+E(f758(x17083,x17084,x17085,x17086,x17087,x17088,x17081,x17089),f758(x17083,x17084,x17085,x17086,x17087,x17088,x17082,x17089))
% 191.26/191.49 [1709]~E(x17091,x17092)+E(f758(x17093,x17094,x17095,x17096,x17097,x17098,x17099,x17091),f758(x17093,x17094,x17095,x17096,x17097,x17098,x17099,x17092))
% 191.26/191.49 [1710]~E(x17101,x17102)+E(f737(x17101,x17103,x17104),f737(x17102,x17103,x17104))
% 191.26/191.49 [1711]~E(x17111,x17112)+E(f737(x17113,x17111,x17114),f737(x17113,x17112,x17114))
% 191.26/191.49 [1712]~E(x17121,x17122)+E(f737(x17123,x17124,x17121),f737(x17123,x17124,x17122))
% 191.26/191.49 [1713]~E(x17131,x17132)+E(f579(x17131,x17133,x17134,x17135,x17136,x17137),f579(x17132,x17133,x17134,x17135,x17136,x17137))
% 191.26/191.49 [1714]~E(x17141,x17142)+E(f579(x17143,x17141,x17144,x17145,x17146,x17147),f579(x17143,x17142,x17144,x17145,x17146,x17147))
% 191.26/191.49 [1715]~E(x17151,x17152)+E(f579(x17153,x17154,x17151,x17155,x17156,x17157),f579(x17153,x17154,x17152,x17155,x17156,x17157))
% 191.26/191.49 [1716]~E(x17161,x17162)+E(f579(x17163,x17164,x17165,x17161,x17166,x17167),f579(x17163,x17164,x17165,x17162,x17166,x17167))
% 191.26/191.49 [1717]~E(x17171,x17172)+E(f579(x17173,x17174,x17175,x17176,x17171,x17177),f579(x17173,x17174,x17175,x17176,x17172,x17177))
% 191.26/191.49 [1718]~E(x17181,x17182)+E(f579(x17183,x17184,x17185,x17186,x17187,x17181),f579(x17183,x17184,x17185,x17186,x17187,x17182))
% 191.26/191.49 [1719]~E(x17191,x17192)+E(f490(x17191,x17193,x17194,x17195,x17196,x17197),f490(x17192,x17193,x17194,x17195,x17196,x17197))
% 191.26/191.49 [1720]~E(x17201,x17202)+E(f490(x17203,x17201,x17204,x17205,x17206,x17207),f490(x17203,x17202,x17204,x17205,x17206,x17207))
% 191.26/191.49 [1721]~E(x17211,x17212)+E(f490(x17213,x17214,x17211,x17215,x17216,x17217),f490(x17213,x17214,x17212,x17215,x17216,x17217))
% 191.26/191.49 [1722]~E(x17221,x17222)+E(f490(x17223,x17224,x17225,x17221,x17226,x17227),f490(x17223,x17224,x17225,x17222,x17226,x17227))
% 191.26/191.49 [1723]~E(x17231,x17232)+E(f490(x17233,x17234,x17235,x17236,x17231,x17237),f490(x17233,x17234,x17235,x17236,x17232,x17237))
% 191.26/191.49 [1724]~E(x17241,x17242)+E(f490(x17243,x17244,x17245,x17246,x17247,x17241),f490(x17243,x17244,x17245,x17246,x17247,x17242))
% 191.26/191.49 [1725]~E(x17251,x17252)+E(f719(x17251,x17253,x17254,x17255,x17256),f719(x17252,x17253,x17254,x17255,x17256))
% 191.26/191.49 [1726]~E(x17261,x17262)+E(f719(x17263,x17261,x17264,x17265,x17266),f719(x17263,x17262,x17264,x17265,x17266))
% 191.26/191.49 [1727]~E(x17271,x17272)+E(f719(x17273,x17274,x17271,x17275,x17276),f719(x17273,x17274,x17272,x17275,x17276))
% 191.26/191.49 [1728]~E(x17281,x17282)+E(f719(x17283,x17284,x17285,x17281,x17286),f719(x17283,x17284,x17285,x17282,x17286))
% 191.26/191.49 [1729]~E(x17291,x17292)+E(f719(x17293,x17294,x17295,x17296,x17291),f719(x17293,x17294,x17295,x17296,x17292))
% 191.26/191.49 [1730]~E(x17301,x17302)+E(f611(x17301,x17303),f611(x17302,x17303))
% 191.26/191.49 [1731]~E(x17311,x17312)+E(f611(x17313,x17311),f611(x17313,x17312))
% 191.26/191.49 [1732]~E(x17321,x17322)+E(f754(x17321,x17323,x17324,x17325),f754(x17322,x17323,x17324,x17325))
% 191.26/191.49 [1733]~E(x17331,x17332)+E(f754(x17333,x17331,x17334,x17335),f754(x17333,x17332,x17334,x17335))
% 191.26/191.49 [1734]~E(x17341,x17342)+E(f754(x17343,x17344,x17341,x17345),f754(x17343,x17344,x17342,x17345))
% 191.26/191.49 [1735]~E(x17351,x17352)+E(f754(x17353,x17354,x17355,x17351),f754(x17353,x17354,x17355,x17352))
% 191.26/191.49 [1736]~E(x17361,x17362)+E(f607(x17361,x17363,x17364,x17365,x17366),f607(x17362,x17363,x17364,x17365,x17366))
% 191.26/191.49 [1737]~E(x17371,x17372)+E(f607(x17373,x17371,x17374,x17375,x17376),f607(x17373,x17372,x17374,x17375,x17376))
% 191.26/191.49 [1738]~E(x17381,x17382)+E(f607(x17383,x17384,x17381,x17385,x17386),f607(x17383,x17384,x17382,x17385,x17386))
% 191.26/191.49 [1739]~E(x17391,x17392)+E(f607(x17393,x17394,x17395,x17391,x17396),f607(x17393,x17394,x17395,x17392,x17396))
% 191.26/191.49 [1740]~E(x17401,x17402)+E(f607(x17403,x17404,x17405,x17406,x17401),f607(x17403,x17404,x17405,x17406,x17402))
% 191.26/191.49 [1741]~E(x17411,x17412)+E(f495(x17411,x17413,x17414),f495(x17412,x17413,x17414))
% 191.26/191.49 [1742]~E(x17421,x17422)+E(f495(x17423,x17421,x17424),f495(x17423,x17422,x17424))
% 191.26/191.49 [1743]~E(x17431,x17432)+E(f495(x17433,x17434,x17431),f495(x17433,x17434,x17432))
% 191.26/191.49 [1744]~E(x17441,x17442)+E(f879(x17441,x17443),f879(x17442,x17443))
% 191.26/191.49 [1745]~E(x17451,x17452)+E(f879(x17453,x17451),f879(x17453,x17452))
% 191.26/191.49 [1746]~E(x17461,x17462)+E(f462(x17461,x17463,x17464,x17465),f462(x17462,x17463,x17464,x17465))
% 191.26/191.49 [1747]~E(x17471,x17472)+E(f462(x17473,x17471,x17474,x17475),f462(x17473,x17472,x17474,x17475))
% 191.26/191.49 [1748]~E(x17481,x17482)+E(f462(x17483,x17484,x17481,x17485),f462(x17483,x17484,x17482,x17485))
% 191.26/191.49 [1749]~E(x17491,x17492)+E(f462(x17493,x17494,x17495,x17491),f462(x17493,x17494,x17495,x17492))
% 191.26/191.49 [1750]~E(x17501,x17502)+E(f360(x17501,x17503),f360(x17502,x17503))
% 191.26/191.49 [1751]~E(x17511,x17512)+E(f360(x17513,x17511),f360(x17513,x17512))
% 191.26/191.49 [1752]~E(x17521,x17522)+E(f681(x17521,x17523,x17524,x17525,x17526),f681(x17522,x17523,x17524,x17525,x17526))
% 191.26/191.49 [1753]~E(x17531,x17532)+E(f681(x17533,x17531,x17534,x17535,x17536),f681(x17533,x17532,x17534,x17535,x17536))
% 191.26/191.49 [1754]~E(x17541,x17542)+E(f681(x17543,x17544,x17541,x17545,x17546),f681(x17543,x17544,x17542,x17545,x17546))
% 191.26/191.49 [1755]~E(x17551,x17552)+E(f681(x17553,x17554,x17555,x17551,x17556),f681(x17553,x17554,x17555,x17552,x17556))
% 191.26/191.49 [1756]~E(x17561,x17562)+E(f681(x17563,x17564,x17565,x17566,x17561),f681(x17563,x17564,x17565,x17566,x17562))
% 191.26/191.49 [1757]~E(x17571,x17572)+E(f698(x17571,x17573,x17574),f698(x17572,x17573,x17574))
% 191.26/191.49 [1758]~E(x17581,x17582)+E(f698(x17583,x17581,x17584),f698(x17583,x17582,x17584))
% 191.26/191.49 [1759]~E(x17591,x17592)+E(f698(x17593,x17594,x17591),f698(x17593,x17594,x17592))
% 191.26/191.49 [1760]~E(x17601,x17602)+E(f492(x17601,x17603,x17604,x17605),f492(x17602,x17603,x17604,x17605))
% 191.26/191.49 [1761]~E(x17611,x17612)+E(f492(x17613,x17611,x17614,x17615),f492(x17613,x17612,x17614,x17615))
% 191.26/191.49 [1762]~E(x17621,x17622)+E(f492(x17623,x17624,x17621,x17625),f492(x17623,x17624,x17622,x17625))
% 191.26/191.49 [1763]~E(x17631,x17632)+E(f492(x17633,x17634,x17635,x17631),f492(x17633,x17634,x17635,x17632))
% 191.26/191.49 [1764]~E(x17641,x17642)+E(f700(x17641,x17643,x17644,x17645),f700(x17642,x17643,x17644,x17645))
% 191.26/191.49 [1765]~E(x17651,x17652)+E(f700(x17653,x17651,x17654,x17655),f700(x17653,x17652,x17654,x17655))
% 191.26/191.49 [1766]~E(x17661,x17662)+E(f700(x17663,x17664,x17661,x17665),f700(x17663,x17664,x17662,x17665))
% 191.26/191.49 [1767]~E(x17671,x17672)+E(f700(x17673,x17674,x17675,x17671),f700(x17673,x17674,x17675,x17672))
% 191.26/191.49 [1768]~E(x17681,x17682)+E(f728(x17681,x17683,x17684),f728(x17682,x17683,x17684))
% 191.26/191.49 [1769]~E(x17691,x17692)+E(f728(x17693,x17691,x17694),f728(x17693,x17692,x17694))
% 191.26/191.49 [1770]~E(x17701,x17702)+E(f728(x17703,x17704,x17701),f728(x17703,x17704,x17702))
% 191.26/191.49 [1771]~E(x17711,x17712)+E(f600(x17711,x17713,x17714),f600(x17712,x17713,x17714))
% 191.26/191.49 [1772]~E(x17721,x17722)+E(f600(x17723,x17721,x17724),f600(x17723,x17722,x17724))
% 191.26/191.49 [1773]~E(x17731,x17732)+E(f600(x17733,x17734,x17731),f600(x17733,x17734,x17732))
% 191.26/191.49 [1774]~E(x17741,x17742)+E(f732(x17741,x17743),f732(x17742,x17743))
% 191.26/191.49 [1775]~E(x17751,x17752)+E(f732(x17753,x17751),f732(x17753,x17752))
% 191.26/191.49 [1776]~E(x17761,x17762)+E(f794(x17761,x17763,x17764),f794(x17762,x17763,x17764))
% 191.26/191.49 [1777]~E(x17771,x17772)+E(f794(x17773,x17771,x17774),f794(x17773,x17772,x17774))
% 191.26/191.49 [1778]~E(x17781,x17782)+E(f794(x17783,x17784,x17781),f794(x17783,x17784,x17782))
% 191.26/191.49 [1779]~E(x17791,x17792)+E(f813(x17791,x17793),f813(x17792,x17793))
% 191.26/191.49 [1780]~E(x17801,x17802)+E(f813(x17803,x17801),f813(x17803,x17802))
% 191.26/191.49 [1781]~E(x17811,x17812)+E(f559(x17811,x17813,x17814,x17815),f559(x17812,x17813,x17814,x17815))
% 191.26/191.49 [1782]~E(x17821,x17822)+E(f559(x17823,x17821,x17824,x17825),f559(x17823,x17822,x17824,x17825))
% 191.26/191.49 [1783]~E(x17831,x17832)+E(f559(x17833,x17834,x17831,x17835),f559(x17833,x17834,x17832,x17835))
% 191.26/191.49 [1784]~E(x17841,x17842)+E(f559(x17843,x17844,x17845,x17841),f559(x17843,x17844,x17845,x17842))
% 191.26/191.49 [1785]~E(x17851,x17852)+E(f506(x17851),f506(x17852))
% 191.26/191.49 [1786]~E(x17861,x17862)+E(f126(x17861,x17863,x17864,x17865),f126(x17862,x17863,x17864,x17865))
% 191.26/191.49 [1787]~E(x17871,x17872)+E(f126(x17873,x17871,x17874,x17875),f126(x17873,x17872,x17874,x17875))
% 191.26/191.49 [1788]~E(x17881,x17882)+E(f126(x17883,x17884,x17881,x17885),f126(x17883,x17884,x17882,x17885))
% 191.26/191.49 [1789]~E(x17891,x17892)+E(f126(x17893,x17894,x17895,x17891),f126(x17893,x17894,x17895,x17892))
% 191.26/191.49 [1790]~E(x17901,x17902)+E(f373(x17901,x17903,x17904),f373(x17902,x17903,x17904))
% 191.26/191.49 [1791]~E(x17911,x17912)+E(f373(x17913,x17911,x17914),f373(x17913,x17912,x17914))
% 191.26/191.49 [1792]~E(x17921,x17922)+E(f373(x17923,x17924,x17921),f373(x17923,x17924,x17922))
% 191.26/191.49 [1793]~E(x17931,x17932)+E(f293(x17931,x17933),f293(x17932,x17933))
% 191.26/191.49 [1794]~E(x17941,x17942)+E(f293(x17943,x17941),f293(x17943,x17942))
% 191.26/191.49 [1795]~E(x17951,x17952)+E(f484(x17951,x17953,x17954,x17955,x17956,x17957,x17958),f484(x17952,x17953,x17954,x17955,x17956,x17957,x17958))
% 191.26/191.49 [1796]~E(x17961,x17962)+E(f484(x17963,x17961,x17964,x17965,x17966,x17967,x17968),f484(x17963,x17962,x17964,x17965,x17966,x17967,x17968))
% 191.26/191.49 [1797]~E(x17971,x17972)+E(f484(x17973,x17974,x17971,x17975,x17976,x17977,x17978),f484(x17973,x17974,x17972,x17975,x17976,x17977,x17978))
% 191.26/191.49 [1798]~E(x17981,x17982)+E(f484(x17983,x17984,x17985,x17981,x17986,x17987,x17988),f484(x17983,x17984,x17985,x17982,x17986,x17987,x17988))
% 191.26/191.49 [1799]~E(x17991,x17992)+E(f484(x17993,x17994,x17995,x17996,x17991,x17997,x17998),f484(x17993,x17994,x17995,x17996,x17992,x17997,x17998))
% 191.26/191.49 [1800]~E(x18001,x18002)+E(f484(x18003,x18004,x18005,x18006,x18007,x18001,x18008),f484(x18003,x18004,x18005,x18006,x18007,x18002,x18008))
% 191.26/191.49 [1801]~E(x18011,x18012)+E(f484(x18013,x18014,x18015,x18016,x18017,x18018,x18011),f484(x18013,x18014,x18015,x18016,x18017,x18018,x18012))
% 191.26/191.49 [1802]~E(x18021,x18022)+E(f469(x18021,x18023,x18024,x18025,x18026),f469(x18022,x18023,x18024,x18025,x18026))
% 191.26/191.49 [1803]~E(x18031,x18032)+E(f469(x18033,x18031,x18034,x18035,x18036),f469(x18033,x18032,x18034,x18035,x18036))
% 191.26/191.49 [1804]~E(x18041,x18042)+E(f469(x18043,x18044,x18041,x18045,x18046),f469(x18043,x18044,x18042,x18045,x18046))
% 191.26/191.49 [1805]~E(x18051,x18052)+E(f469(x18053,x18054,x18055,x18051,x18056),f469(x18053,x18054,x18055,x18052,x18056))
% 191.26/191.49 [1806]~E(x18061,x18062)+E(f469(x18063,x18064,x18065,x18066,x18061),f469(x18063,x18064,x18065,x18066,x18062))
% 191.26/191.49 [1807]~E(x18071,x18072)+E(f572(x18071,x18073,x18074),f572(x18072,x18073,x18074))
% 191.26/191.49 [1808]~E(x18081,x18082)+E(f572(x18083,x18081,x18084),f572(x18083,x18082,x18084))
% 191.26/191.49 [1809]~E(x18091,x18092)+E(f572(x18093,x18094,x18091),f572(x18093,x18094,x18092))
% 191.26/191.49 [1810]~E(x18101,x18102)+E(f692(x18101,x18103),f692(x18102,x18103))
% 191.26/191.49 [1811]~E(x18111,x18112)+E(f692(x18113,x18111),f692(x18113,x18112))
% 191.26/191.49 [1812]~E(x18121,x18122)+E(f599(x18121,x18123,x18124),f599(x18122,x18123,x18124))
% 191.26/191.49 [1813]~E(x18131,x18132)+E(f599(x18133,x18131,x18134),f599(x18133,x18132,x18134))
% 191.26/191.49 [1814]~E(x18141,x18142)+E(f599(x18143,x18144,x18141),f599(x18143,x18144,x18142))
% 191.26/191.49 [1815]~E(x18151,x18152)+E(f744(x18151,x18153,x18154,x18155,x18156),f744(x18152,x18153,x18154,x18155,x18156))
% 191.26/191.49 [1816]~E(x18161,x18162)+E(f744(x18163,x18161,x18164,x18165,x18166),f744(x18163,x18162,x18164,x18165,x18166))
% 191.26/191.49 [1817]~E(x18171,x18172)+E(f744(x18173,x18174,x18171,x18175,x18176),f744(x18173,x18174,x18172,x18175,x18176))
% 191.26/191.49 [1818]~E(x18181,x18182)+E(f744(x18183,x18184,x18185,x18181,x18186),f744(x18183,x18184,x18185,x18182,x18186))
% 191.26/191.49 [1819]~E(x18191,x18192)+E(f744(x18193,x18194,x18195,x18196,x18191),f744(x18193,x18194,x18195,x18196,x18192))
% 191.26/191.49 [1820]~E(x18201,x18202)+E(f227(x18201,x18203,x18204,x18205,x18206),f227(x18202,x18203,x18204,x18205,x18206))
% 191.26/191.49 [1821]~E(x18211,x18212)+E(f227(x18213,x18211,x18214,x18215,x18216),f227(x18213,x18212,x18214,x18215,x18216))
% 191.26/191.49 [1822]~E(x18221,x18222)+E(f227(x18223,x18224,x18221,x18225,x18226),f227(x18223,x18224,x18222,x18225,x18226))
% 191.26/191.49 [1823]~E(x18231,x18232)+E(f227(x18233,x18234,x18235,x18231,x18236),f227(x18233,x18234,x18235,x18232,x18236))
% 191.26/191.49 [1824]~E(x18241,x18242)+E(f227(x18243,x18244,x18245,x18246,x18241),f227(x18243,x18244,x18245,x18246,x18242))
% 191.26/191.49 [1825]~E(x18251,x18252)+E(f366(x18251,x18253,x18254),f366(x18252,x18253,x18254))
% 191.26/191.49 [1826]~E(x18261,x18262)+E(f366(x18263,x18261,x18264),f366(x18263,x18262,x18264))
% 191.26/191.49 [1827]~E(x18271,x18272)+E(f366(x18273,x18274,x18271),f366(x18273,x18274,x18272))
% 191.26/191.49 [1828]~E(x18281,x18282)+E(f795(x18281,x18283,x18284,x18285),f795(x18282,x18283,x18284,x18285))
% 191.26/191.49 [1829]~E(x18291,x18292)+E(f795(x18293,x18291,x18294,x18295),f795(x18293,x18292,x18294,x18295))
% 191.26/191.49 [1830]~E(x18301,x18302)+E(f795(x18303,x18304,x18301,x18305),f795(x18303,x18304,x18302,x18305))
% 191.26/191.49 [1831]~E(x18311,x18312)+E(f795(x18313,x18314,x18315,x18311),f795(x18313,x18314,x18315,x18312))
% 191.26/191.49 [1832]~E(x18321,x18322)+E(f562(x18321,x18323,x18324,x18325),f562(x18322,x18323,x18324,x18325))
% 191.26/191.49 [1833]~E(x18331,x18332)+E(f562(x18333,x18331,x18334,x18335),f562(x18333,x18332,x18334,x18335))
% 191.26/191.49 [1834]~E(x18341,x18342)+E(f562(x18343,x18344,x18341,x18345),f562(x18343,x18344,x18342,x18345))
% 191.26/191.49 [1835]~E(x18351,x18352)+E(f562(x18353,x18354,x18355,x18351),f562(x18353,x18354,x18355,x18352))
% 191.26/191.49 [1836]~E(x18361,x18362)+E(f773(x18361,x18363,x18364,x18365,x18366,x18367,x18368),f773(x18362,x18363,x18364,x18365,x18366,x18367,x18368))
% 191.26/191.49 [1837]~E(x18371,x18372)+E(f773(x18373,x18371,x18374,x18375,x18376,x18377,x18378),f773(x18373,x18372,x18374,x18375,x18376,x18377,x18378))
% 191.26/191.49 [1838]~E(x18381,x18382)+E(f773(x18383,x18384,x18381,x18385,x18386,x18387,x18388),f773(x18383,x18384,x18382,x18385,x18386,x18387,x18388))
% 191.26/191.49 [1839]~E(x18391,x18392)+E(f773(x18393,x18394,x18395,x18391,x18396,x18397,x18398),f773(x18393,x18394,x18395,x18392,x18396,x18397,x18398))
% 191.26/191.49 [1840]~E(x18401,x18402)+E(f773(x18403,x18404,x18405,x18406,x18401,x18407,x18408),f773(x18403,x18404,x18405,x18406,x18402,x18407,x18408))
% 191.26/191.49 [1841]~E(x18411,x18412)+E(f773(x18413,x18414,x18415,x18416,x18417,x18411,x18418),f773(x18413,x18414,x18415,x18416,x18417,x18412,x18418))
% 191.26/191.49 [1842]~E(x18421,x18422)+E(f773(x18423,x18424,x18425,x18426,x18427,x18428,x18421),f773(x18423,x18424,x18425,x18426,x18427,x18428,x18422))
% 191.26/191.49 [1843]~E(x18431,x18432)+E(f472(x18431,x18433,x18434,x18435,x18436),f472(x18432,x18433,x18434,x18435,x18436))
% 191.26/191.49 [1844]~E(x18441,x18442)+E(f472(x18443,x18441,x18444,x18445,x18446),f472(x18443,x18442,x18444,x18445,x18446))
% 191.26/191.49 [1845]~E(x18451,x18452)+E(f472(x18453,x18454,x18451,x18455,x18456),f472(x18453,x18454,x18452,x18455,x18456))
% 191.26/191.49 [1846]~E(x18461,x18462)+E(f472(x18463,x18464,x18465,x18461,x18466),f472(x18463,x18464,x18465,x18462,x18466))
% 191.26/191.49 [1847]~E(x18471,x18472)+E(f472(x18473,x18474,x18475,x18476,x18471),f472(x18473,x18474,x18475,x18476,x18472))
% 191.26/191.49 [1848]~E(x18481,x18482)+E(f756(x18481,x18483),f756(x18482,x18483))
% 191.26/191.49 [1849]~E(x18491,x18492)+E(f756(x18493,x18491),f756(x18493,x18492))
% 191.26/191.49 [1850]~E(x18501,x18502)+E(f393(x18501,x18503),f393(x18502,x18503))
% 191.26/191.49 [1851]~E(x18511,x18512)+E(f393(x18513,x18511),f393(x18513,x18512))
% 191.26/191.49 [1852]~E(x18521,x18522)+E(f508(x18521,x18523,x18524),f508(x18522,x18523,x18524))
% 191.26/191.49 [1853]~E(x18531,x18532)+E(f508(x18533,x18531,x18534),f508(x18533,x18532,x18534))
% 191.26/191.49 [1854]~E(x18541,x18542)+E(f508(x18543,x18544,x18541),f508(x18543,x18544,x18542))
% 191.26/191.49 [1855]~E(x18551,x18552)+E(f548(x18551,x18553,x18554,x18555,x18556,x18557),f548(x18552,x18553,x18554,x18555,x18556,x18557))
% 191.26/191.49 [1856]~E(x18561,x18562)+E(f548(x18563,x18561,x18564,x18565,x18566,x18567),f548(x18563,x18562,x18564,x18565,x18566,x18567))
% 191.26/191.49 [1857]~E(x18571,x18572)+E(f548(x18573,x18574,x18571,x18575,x18576,x18577),f548(x18573,x18574,x18572,x18575,x18576,x18577))
% 191.26/191.49 [1858]~E(x18581,x18582)+E(f548(x18583,x18584,x18585,x18581,x18586,x18587),f548(x18583,x18584,x18585,x18582,x18586,x18587))
% 191.26/191.49 [1859]~E(x18591,x18592)+E(f548(x18593,x18594,x18595,x18596,x18591,x18597),f548(x18593,x18594,x18595,x18596,x18592,x18597))
% 191.26/191.49 [1860]~E(x18601,x18602)+E(f548(x18603,x18604,x18605,x18606,x18607,x18601),f548(x18603,x18604,x18605,x18606,x18607,x18602))
% 191.26/191.49 [1861]~E(x18611,x18612)+E(f677(x18611,x18613,x18614,x18615),f677(x18612,x18613,x18614,x18615))
% 191.26/191.49 [1862]~E(x18621,x18622)+E(f677(x18623,x18621,x18624,x18625),f677(x18623,x18622,x18624,x18625))
% 191.26/191.49 [1863]~E(x18631,x18632)+E(f677(x18633,x18634,x18631,x18635),f677(x18633,x18634,x18632,x18635))
% 191.26/191.49 [1864]~E(x18641,x18642)+E(f677(x18643,x18644,x18645,x18641),f677(x18643,x18644,x18645,x18642))
% 191.26/191.49 [1865]~E(x18651,x18652)+E(f880(x18651,x18653,x18654,x18655,x18656),f880(x18652,x18653,x18654,x18655,x18656))
% 191.26/191.49 [1866]~E(x18661,x18662)+E(f880(x18663,x18661,x18664,x18665,x18666),f880(x18663,x18662,x18664,x18665,x18666))
% 191.26/191.49 [1867]~E(x18671,x18672)+E(f880(x18673,x18674,x18671,x18675,x18676),f880(x18673,x18674,x18672,x18675,x18676))
% 191.26/191.49 [1868]~E(x18681,x18682)+E(f880(x18683,x18684,x18685,x18681,x18686),f880(x18683,x18684,x18685,x18682,x18686))
% 191.26/191.49 [1869]~E(x18691,x18692)+E(f880(x18693,x18694,x18695,x18696,x18691),f880(x18693,x18694,x18695,x18696,x18692))
% 191.26/191.49 [1870]~E(x18701,x18702)+E(f842(x18701,x18703),f842(x18702,x18703))
% 191.26/191.49 [1871]~E(x18711,x18712)+E(f842(x18713,x18711),f842(x18713,x18712))
% 191.26/191.49 [1872]~E(x18721,x18722)+E(f177(x18721,x18723,x18724),f177(x18722,x18723,x18724))
% 191.26/191.49 [1873]~E(x18731,x18732)+E(f177(x18733,x18731,x18734),f177(x18733,x18732,x18734))
% 191.26/191.49 [1874]~E(x18741,x18742)+E(f177(x18743,x18744,x18741),f177(x18743,x18744,x18742))
% 191.26/191.49 [1875]~E(x18751,x18752)+E(f636(x18751,x18753,x18754,x18755,x18756,x18757,x18758),f636(x18752,x18753,x18754,x18755,x18756,x18757,x18758))
% 191.26/191.49 [1876]~E(x18761,x18762)+E(f636(x18763,x18761,x18764,x18765,x18766,x18767,x18768),f636(x18763,x18762,x18764,x18765,x18766,x18767,x18768))
% 191.26/191.49 [1877]~E(x18771,x18772)+E(f636(x18773,x18774,x18771,x18775,x18776,x18777,x18778),f636(x18773,x18774,x18772,x18775,x18776,x18777,x18778))
% 191.26/191.49 [1878]~E(x18781,x18782)+E(f636(x18783,x18784,x18785,x18781,x18786,x18787,x18788),f636(x18783,x18784,x18785,x18782,x18786,x18787,x18788))
% 191.26/191.49 [1879]~E(x18791,x18792)+E(f636(x18793,x18794,x18795,x18796,x18791,x18797,x18798),f636(x18793,x18794,x18795,x18796,x18792,x18797,x18798))
% 191.26/191.49 [1880]~E(x18801,x18802)+E(f636(x18803,x18804,x18805,x18806,x18807,x18801,x18808),f636(x18803,x18804,x18805,x18806,x18807,x18802,x18808))
% 191.26/191.49 [1881]~E(x18811,x18812)+E(f636(x18813,x18814,x18815,x18816,x18817,x18818,x18811),f636(x18813,x18814,x18815,x18816,x18817,x18818,x18812))
% 191.26/191.49 [1882]~E(x18821,x18822)+E(f581(x18821,x18823,x18824),f581(x18822,x18823,x18824))
% 191.26/191.49 [1883]~E(x18831,x18832)+E(f581(x18833,x18831,x18834),f581(x18833,x18832,x18834))
% 191.26/191.49 [1884]~E(x18841,x18842)+E(f581(x18843,x18844,x18841),f581(x18843,x18844,x18842))
% 191.26/191.49 [1885]~E(x18851,x18852)+E(f301(x18851,x18853,x18854,x18855),f301(x18852,x18853,x18854,x18855))
% 191.26/191.49 [1886]~E(x18861,x18862)+E(f301(x18863,x18861,x18864,x18865),f301(x18863,x18862,x18864,x18865))
% 191.26/191.49 [1887]~E(x18871,x18872)+E(f301(x18873,x18874,x18871,x18875),f301(x18873,x18874,x18872,x18875))
% 191.26/191.49 [1888]~E(x18881,x18882)+E(f301(x18883,x18884,x18885,x18881),f301(x18883,x18884,x18885,x18882))
% 191.26/191.49 [1889]~E(x18891,x18892)+E(f665(x18891,x18893,x18894,x18895),f665(x18892,x18893,x18894,x18895))
% 191.26/191.49 [1890]~E(x18901,x18902)+E(f665(x18903,x18901,x18904,x18905),f665(x18903,x18902,x18904,x18905))
% 191.26/191.49 [1891]~E(x18911,x18912)+E(f665(x18913,x18914,x18911,x18915),f665(x18913,x18914,x18912,x18915))
% 191.26/191.49 [1892]~E(x18921,x18922)+E(f665(x18923,x18924,x18925,x18921),f665(x18923,x18924,x18925,x18922))
% 191.26/191.49 [1893]~E(x18931,x18932)+E(f594(x18931,x18933,x18934),f594(x18932,x18933,x18934))
% 191.26/191.49 [1894]~E(x18941,x18942)+E(f594(x18943,x18941,x18944),f594(x18943,x18942,x18944))
% 191.26/191.49 [1895]~E(x18951,x18952)+E(f594(x18953,x18954,x18951),f594(x18953,x18954,x18952))
% 191.26/191.49 [1896]~E(x18961,x18962)+E(f870(x18961,x18963,x18964,x18965),f870(x18962,x18963,x18964,x18965))
% 191.26/191.49 [1897]~E(x18971,x18972)+E(f870(x18973,x18971,x18974,x18975),f870(x18973,x18972,x18974,x18975))
% 191.26/191.49 [1898]~E(x18981,x18982)+E(f870(x18983,x18984,x18981,x18985),f870(x18983,x18984,x18982,x18985))
% 191.26/191.49 [1899]~E(x18991,x18992)+E(f870(x18993,x18994,x18995,x18991),f870(x18993,x18994,x18995,x18992))
% 191.26/191.49 [1900]~E(x19001,x19002)+E(f772(x19001,x19003,x19004,x19005,x19006,x19007,x19008),f772(x19002,x19003,x19004,x19005,x19006,x19007,x19008))
% 191.26/191.49 [1901]~E(x19011,x19012)+E(f772(x19013,x19011,x19014,x19015,x19016,x19017,x19018),f772(x19013,x19012,x19014,x19015,x19016,x19017,x19018))
% 191.26/191.49 [1902]~E(x19021,x19022)+E(f772(x19023,x19024,x19021,x19025,x19026,x19027,x19028),f772(x19023,x19024,x19022,x19025,x19026,x19027,x19028))
% 191.26/191.49 [1903]~E(x19031,x19032)+E(f772(x19033,x19034,x19035,x19031,x19036,x19037,x19038),f772(x19033,x19034,x19035,x19032,x19036,x19037,x19038))
% 191.26/191.49 [1904]~E(x19041,x19042)+E(f772(x19043,x19044,x19045,x19046,x19041,x19047,x19048),f772(x19043,x19044,x19045,x19046,x19042,x19047,x19048))
% 191.26/191.49 [1905]~E(x19051,x19052)+E(f772(x19053,x19054,x19055,x19056,x19057,x19051,x19058),f772(x19053,x19054,x19055,x19056,x19057,x19052,x19058))
% 191.26/191.49 [1906]~E(x19061,x19062)+E(f772(x19063,x19064,x19065,x19066,x19067,x19068,x19061),f772(x19063,x19064,x19065,x19066,x19067,x19068,x19062))
% 191.26/191.49 [1907]~E(x19071,x19072)+E(f468(x19071,x19073,x19074,x19075,x19076),f468(x19072,x19073,x19074,x19075,x19076))
% 191.26/191.49 [1908]~E(x19081,x19082)+E(f468(x19083,x19081,x19084,x19085,x19086),f468(x19083,x19082,x19084,x19085,x19086))
% 191.26/191.49 [1909]~E(x19091,x19092)+E(f468(x19093,x19094,x19091,x19095,x19096),f468(x19093,x19094,x19092,x19095,x19096))
% 191.26/191.49 [1910]~E(x19101,x19102)+E(f468(x19103,x19104,x19105,x19101,x19106),f468(x19103,x19104,x19105,x19102,x19106))
% 191.26/191.49 [1911]~E(x19111,x19112)+E(f468(x19113,x19114,x19115,x19116,x19111),f468(x19113,x19114,x19115,x19116,x19112))
% 191.26/191.49 [1912]~E(x19121,x19122)+E(f801(x19121,x19123,x19124,x19125),f801(x19122,x19123,x19124,x19125))
% 191.26/191.49 [1913]~E(x19131,x19132)+E(f801(x19133,x19131,x19134,x19135),f801(x19133,x19132,x19134,x19135))
% 191.26/191.49 [1914]~E(x19141,x19142)+E(f801(x19143,x19144,x19141,x19145),f801(x19143,x19144,x19142,x19145))
% 191.26/191.49 [1915]~E(x19151,x19152)+E(f801(x19153,x19154,x19155,x19151),f801(x19153,x19154,x19155,x19152))
% 191.26/191.49 [1916]~E(x19161,x19162)+E(f628(x19161,x19163,x19164,x19165,x19166),f628(x19162,x19163,x19164,x19165,x19166))
% 191.26/191.49 [1917]~E(x19171,x19172)+E(f628(x19173,x19171,x19174,x19175,x19176),f628(x19173,x19172,x19174,x19175,x19176))
% 191.26/191.49 [1918]~E(x19181,x19182)+E(f628(x19183,x19184,x19181,x19185,x19186),f628(x19183,x19184,x19182,x19185,x19186))
% 191.26/191.49 [1919]~E(x19191,x19192)+E(f628(x19193,x19194,x19195,x19191,x19196),f628(x19193,x19194,x19195,x19192,x19196))
% 191.26/191.49 [1920]~E(x19201,x19202)+E(f628(x19203,x19204,x19205,x19206,x19201),f628(x19203,x19204,x19205,x19206,x19202))
% 191.26/191.49 [1921]~E(x19211,x19212)+E(f689(x19211,x19213,x19214,x19215,x19216),f689(x19212,x19213,x19214,x19215,x19216))
% 191.26/191.49 [1922]~E(x19221,x19222)+E(f689(x19223,x19221,x19224,x19225,x19226),f689(x19223,x19222,x19224,x19225,x19226))
% 191.26/191.49 [1923]~E(x19231,x19232)+E(f689(x19233,x19234,x19231,x19235,x19236),f689(x19233,x19234,x19232,x19235,x19236))
% 191.26/191.49 [1924]~E(x19241,x19242)+E(f689(x19243,x19244,x19245,x19241,x19246),f689(x19243,x19244,x19245,x19242,x19246))
% 191.26/191.49 [1925]~E(x19251,x19252)+E(f689(x19253,x19254,x19255,x19256,x19251),f689(x19253,x19254,x19255,x19256,x19252))
% 191.26/191.49 [1926]~E(x19261,x19262)+E(f206(x19261,x19263),f206(x19262,x19263))
% 191.26/191.49 [1927]~E(x19271,x19272)+E(f206(x19273,x19271),f206(x19273,x19272))
% 191.26/191.49 [1928]~E(x19281,x19282)+E(f892(x19281,x19283,x19284),f892(x19282,x19283,x19284))
% 191.26/191.49 [1929]~E(x19291,x19292)+E(f892(x19293,x19291,x19294),f892(x19293,x19292,x19294))
% 191.26/191.49 [1930]~E(x19301,x19302)+E(f892(x19303,x19304,x19301),f892(x19303,x19304,x19302))
% 191.26/191.49 [1931]~E(x19311,x19312)+E(f890(x19311,x19313,x19314,x19315,x19316),f890(x19312,x19313,x19314,x19315,x19316))
% 191.26/191.49 [1932]~E(x19321,x19322)+E(f890(x19323,x19321,x19324,x19325,x19326),f890(x19323,x19322,x19324,x19325,x19326))
% 191.26/191.49 [1933]~E(x19331,x19332)+E(f890(x19333,x19334,x19331,x19335,x19336),f890(x19333,x19334,x19332,x19335,x19336))
% 191.26/191.49 [1934]~E(x19341,x19342)+E(f890(x19343,x19344,x19345,x19341,x19346),f890(x19343,x19344,x19345,x19342,x19346))
% 191.26/191.49 [1935]~E(x19351,x19352)+E(f890(x19353,x19354,x19355,x19356,x19351),f890(x19353,x19354,x19355,x19356,x19352))
% 191.26/191.49 [1936]~E(x19361,x19362)+E(f790(x19361,x19363,x19364),f790(x19362,x19363,x19364))
% 191.26/191.49 [1937]~E(x19371,x19372)+E(f790(x19373,x19371,x19374),f790(x19373,x19372,x19374))
% 191.26/191.49 [1938]~E(x19381,x19382)+E(f790(x19383,x19384,x19381),f790(x19383,x19384,x19382))
% 191.26/191.49 [1939]~E(x19391,x19392)+E(f509(x19391,x19393,x19394),f509(x19392,x19393,x19394))
% 191.26/191.49 [1940]~E(x19401,x19402)+E(f509(x19403,x19401,x19404),f509(x19403,x19402,x19404))
% 191.26/191.49 [1941]~E(x19411,x19412)+E(f509(x19413,x19414,x19411),f509(x19413,x19414,x19412))
% 191.26/191.49 [1942]~E(x19421,x19422)+E(f578(x19421,x19423,x19424,x19425,x19426,x19427),f578(x19422,x19423,x19424,x19425,x19426,x19427))
% 191.26/191.49 [1943]~E(x19431,x19432)+E(f578(x19433,x19431,x19434,x19435,x19436,x19437),f578(x19433,x19432,x19434,x19435,x19436,x19437))
% 191.26/191.49 [1944]~E(x19441,x19442)+E(f578(x19443,x19444,x19441,x19445,x19446,x19447),f578(x19443,x19444,x19442,x19445,x19446,x19447))
% 191.26/191.49 [1945]~E(x19451,x19452)+E(f578(x19453,x19454,x19455,x19451,x19456,x19457),f578(x19453,x19454,x19455,x19452,x19456,x19457))
% 191.26/191.49 [1946]~E(x19461,x19462)+E(f578(x19463,x19464,x19465,x19466,x19461,x19467),f578(x19463,x19464,x19465,x19466,x19462,x19467))
% 191.26/191.49 [1947]~E(x19471,x19472)+E(f578(x19473,x19474,x19475,x19476,x19477,x19471),f578(x19473,x19474,x19475,x19476,x19477,x19472))
% 191.26/191.49 [1948]~E(x19481,x19482)+E(f502(x19481,x19483,x19484,x19485,x19486),f502(x19482,x19483,x19484,x19485,x19486))
% 191.26/191.49 [1949]~E(x19491,x19492)+E(f502(x19493,x19491,x19494,x19495,x19496),f502(x19493,x19492,x19494,x19495,x19496))
% 191.26/191.49 [1950]~E(x19501,x19502)+E(f502(x19503,x19504,x19501,x19505,x19506),f502(x19503,x19504,x19502,x19505,x19506))
% 191.26/191.49 [1951]~E(x19511,x19512)+E(f502(x19513,x19514,x19515,x19511,x19516),f502(x19513,x19514,x19515,x19512,x19516))
% 191.26/191.49 [1952]~E(x19521,x19522)+E(f502(x19523,x19524,x19525,x19526,x19521),f502(x19523,x19524,x19525,x19526,x19522))
% 191.26/191.49 [1953]~E(x19531,x19532)+E(f771(x19531,x19533,x19534,x19535,x19536),f771(x19532,x19533,x19534,x19535,x19536))
% 191.26/191.49 [1954]~E(x19541,x19542)+E(f771(x19543,x19541,x19544,x19545,x19546),f771(x19543,x19542,x19544,x19545,x19546))
% 191.26/191.49 [1955]~E(x19551,x19552)+E(f771(x19553,x19554,x19551,x19555,x19556),f771(x19553,x19554,x19552,x19555,x19556))
% 191.26/191.49 [1956]~E(x19561,x19562)+E(f771(x19563,x19564,x19565,x19561,x19566),f771(x19563,x19564,x19565,x19562,x19566))
% 191.26/191.49 [1957]~E(x19571,x19572)+E(f771(x19573,x19574,x19575,x19576,x19571),f771(x19573,x19574,x19575,x19576,x19572))
% 191.26/191.49 [1958]~E(x19581,x19582)+E(f482(x19581,x19583,x19584,x19585,x19586,x19587,x19588),f482(x19582,x19583,x19584,x19585,x19586,x19587,x19588))
% 191.26/191.49 [1959]~E(x19591,x19592)+E(f482(x19593,x19591,x19594,x19595,x19596,x19597,x19598),f482(x19593,x19592,x19594,x19595,x19596,x19597,x19598))
% 191.26/191.49 [1960]~E(x19601,x19602)+E(f482(x19603,x19604,x19601,x19605,x19606,x19607,x19608),f482(x19603,x19604,x19602,x19605,x19606,x19607,x19608))
% 191.26/191.49 [1961]~E(x19611,x19612)+E(f482(x19613,x19614,x19615,x19611,x19616,x19617,x19618),f482(x19613,x19614,x19615,x19612,x19616,x19617,x19618))
% 191.26/191.49 [1962]~E(x19621,x19622)+E(f482(x19623,x19624,x19625,x19626,x19621,x19627,x19628),f482(x19623,x19624,x19625,x19626,x19622,x19627,x19628))
% 191.26/191.49 [1963]~E(x19631,x19632)+E(f482(x19633,x19634,x19635,x19636,x19637,x19631,x19638),f482(x19633,x19634,x19635,x19636,x19637,x19632,x19638))
% 191.26/191.49 [1964]~E(x19641,x19642)+E(f482(x19643,x19644,x19645,x19646,x19647,x19648,x19641),f482(x19643,x19644,x19645,x19646,x19647,x19648,x19642))
% 191.26/191.49 [1965]~E(x19651,x19652)+E(f514(x19651,x19653,x19654,x19655,x19656,x19657),f514(x19652,x19653,x19654,x19655,x19656,x19657))
% 191.26/191.49 [1966]~E(x19661,x19662)+E(f514(x19663,x19661,x19664,x19665,x19666,x19667),f514(x19663,x19662,x19664,x19665,x19666,x19667))
% 191.26/191.49 [1967]~E(x19671,x19672)+E(f514(x19673,x19674,x19671,x19675,x19676,x19677),f514(x19673,x19674,x19672,x19675,x19676,x19677))
% 191.26/191.49 [1968]~E(x19681,x19682)+E(f514(x19683,x19684,x19685,x19681,x19686,x19687),f514(x19683,x19684,x19685,x19682,x19686,x19687))
% 191.26/191.49 [1969]~E(x19691,x19692)+E(f514(x19693,x19694,x19695,x19696,x19691,x19697),f514(x19693,x19694,x19695,x19696,x19692,x19697))
% 191.26/191.49 [1970]~E(x19701,x19702)+E(f514(x19703,x19704,x19705,x19706,x19707,x19701),f514(x19703,x19704,x19705,x19706,x19707,x19702))
% 191.26/191.49 [1971]~E(x19711,x19712)+E(f867(x19711,x19713,x19714),f867(x19712,x19713,x19714))
% 191.26/191.49 [1972]~E(x19721,x19722)+E(f867(x19723,x19721,x19724),f867(x19723,x19722,x19724))
% 191.26/191.49 [1973]~E(x19731,x19732)+E(f867(x19733,x19734,x19731),f867(x19733,x19734,x19732))
% 191.26/191.49 [1974]~E(x19741,x19742)+E(f493(x19741,x19743,x19744,x19745),f493(x19742,x19743,x19744,x19745))
% 191.26/191.49 [1975]~E(x19751,x19752)+E(f493(x19753,x19751,x19754,x19755),f493(x19753,x19752,x19754,x19755))
% 191.26/191.49 [1976]~E(x19761,x19762)+E(f493(x19763,x19764,x19761,x19765),f493(x19763,x19764,x19762,x19765))
% 191.26/191.49 [1977]~E(x19771,x19772)+E(f493(x19773,x19774,x19775,x19771),f493(x19773,x19774,x19775,x19772))
% 191.26/191.49 [1978]~E(x19781,x19782)+E(f487(x19781,x19783,x19784,x19785,x19786),f487(x19782,x19783,x19784,x19785,x19786))
% 191.26/191.49 [1979]~E(x19791,x19792)+E(f487(x19793,x19791,x19794,x19795,x19796),f487(x19793,x19792,x19794,x19795,x19796))
% 191.26/191.49 [1980]~E(x19801,x19802)+E(f487(x19803,x19804,x19801,x19805,x19806),f487(x19803,x19804,x19802,x19805,x19806))
% 191.26/191.49 [1981]~E(x19811,x19812)+E(f487(x19813,x19814,x19815,x19811,x19816),f487(x19813,x19814,x19815,x19812,x19816))
% 191.26/191.49 [1982]~E(x19821,x19822)+E(f487(x19823,x19824,x19825,x19826,x19821),f487(x19823,x19824,x19825,x19826,x19822))
% 191.26/191.49 [1983]~E(x19831,x19832)+E(f888(x19831,x19833,x19834),f888(x19832,x19833,x19834))
% 191.26/191.49 [1984]~E(x19841,x19842)+E(f888(x19843,x19841,x19844),f888(x19843,x19842,x19844))
% 191.26/191.49 [1985]~E(x19851,x19852)+E(f888(x19853,x19854,x19851),f888(x19853,x19854,x19852))
% 191.26/191.49 [1986]~E(x19861,x19862)+E(f595(x19861,x19863,x19864,x19865,x19866,x19867,x19868,x19869),f595(x19862,x19863,x19864,x19865,x19866,x19867,x19868,x19869))
% 191.26/191.49 [1987]~E(x19871,x19872)+E(f595(x19873,x19871,x19874,x19875,x19876,x19877,x19878,x19879),f595(x19873,x19872,x19874,x19875,x19876,x19877,x19878,x19879))
% 191.26/191.49 [1988]~E(x19881,x19882)+E(f595(x19883,x19884,x19881,x19885,x19886,x19887,x19888,x19889),f595(x19883,x19884,x19882,x19885,x19886,x19887,x19888,x19889))
% 191.26/191.49 [1989]~E(x19891,x19892)+E(f595(x19893,x19894,x19895,x19891,x19896,x19897,x19898,x19899),f595(x19893,x19894,x19895,x19892,x19896,x19897,x19898,x19899))
% 191.26/191.49 [1990]~E(x19901,x19902)+E(f595(x19903,x19904,x19905,x19906,x19901,x19907,x19908,x19909),f595(x19903,x19904,x19905,x19906,x19902,x19907,x19908,x19909))
% 191.26/191.49 [1991]~E(x19911,x19912)+E(f595(x19913,x19914,x19915,x19916,x19917,x19911,x19918,x19919),f595(x19913,x19914,x19915,x19916,x19917,x19912,x19918,x19919))
% 191.26/191.49 [1992]~E(x19921,x19922)+E(f595(x19923,x19924,x19925,x19926,x19927,x19928,x19921,x19929),f595(x19923,x19924,x19925,x19926,x19927,x19928,x19922,x19929))
% 191.26/191.49 [1993]~E(x19931,x19932)+E(f595(x19933,x19934,x19935,x19936,x19937,x19938,x19939,x19931),f595(x19933,x19934,x19935,x19936,x19937,x19938,x19939,x19932))
% 191.26/191.49 [1994]~E(x19941,x19942)+E(f673(x19941,x19943,x19944,x19945),f673(x19942,x19943,x19944,x19945))
% 191.26/191.49 [1995]~E(x19951,x19952)+E(f673(x19953,x19951,x19954,x19955),f673(x19953,x19952,x19954,x19955))
% 191.26/191.49 [1996]~E(x19961,x19962)+E(f673(x19963,x19964,x19961,x19965),f673(x19963,x19964,x19962,x19965))
% 191.26/191.49 [1997]~E(x19971,x19972)+E(f673(x19973,x19974,x19975,x19971),f673(x19973,x19974,x19975,x19972))
% 191.26/191.49 [1998]~E(x19981,x19982)+E(f577(x19981,x19983,x19984,x19985,x19986,x19987),f577(x19982,x19983,x19984,x19985,x19986,x19987))
% 191.26/191.49 [1999]~E(x19991,x19992)+E(f577(x19993,x19991,x19994,x19995,x19996,x19997),f577(x19993,x19992,x19994,x19995,x19996,x19997))
% 191.26/191.49 [2000]~E(x20001,x20002)+E(f577(x20003,x20004,x20001,x20005,x20006,x20007),f577(x20003,x20004,x20002,x20005,x20006,x20007))
% 191.26/191.49 [2001]~E(x20011,x20012)+E(f577(x20013,x20014,x20015,x20011,x20016,x20017),f577(x20013,x20014,x20015,x20012,x20016,x20017))
% 191.26/191.49 [2002]~E(x20021,x20022)+E(f577(x20023,x20024,x20025,x20026,x20021,x20027),f577(x20023,x20024,x20025,x20026,x20022,x20027))
% 191.26/191.49 [2003]~E(x20031,x20032)+E(f577(x20033,x20034,x20035,x20036,x20037,x20031),f577(x20033,x20034,x20035,x20036,x20037,x20032))
% 191.26/191.49 [2004]~E(x20041,x20042)+E(f761(x20041,x20043,x20044,x20045,x20046),f761(x20042,x20043,x20044,x20045,x20046))
% 191.26/191.49 [2005]~E(x20051,x20052)+E(f761(x20053,x20051,x20054,x20055,x20056),f761(x20053,x20052,x20054,x20055,x20056))
% 191.26/191.49 [2006]~E(x20061,x20062)+E(f761(x20063,x20064,x20061,x20065,x20066),f761(x20063,x20064,x20062,x20065,x20066))
% 191.26/191.49 [2007]~E(x20071,x20072)+E(f761(x20073,x20074,x20075,x20071,x20076),f761(x20073,x20074,x20075,x20072,x20076))
% 191.26/191.49 [2008]~E(x20081,x20082)+E(f761(x20083,x20084,x20085,x20086,x20081),f761(x20083,x20084,x20085,x20086,x20082))
% 191.26/191.49 [2009]~E(x20091,x20092)+E(f609(x20091,x20093),f609(x20092,x20093))
% 191.26/191.49 [2010]~E(x20101,x20102)+E(f609(x20103,x20101),f609(x20103,x20102))
% 191.26/191.49 [2011]~E(x20111,x20112)+E(f270(x20111,x20113,x20114),f270(x20112,x20113,x20114))
% 191.26/191.49 [2012]~E(x20121,x20122)+E(f270(x20123,x20121,x20124),f270(x20123,x20122,x20124))
% 191.26/191.49 [2013]~E(x20131,x20132)+E(f270(x20133,x20134,x20131),f270(x20133,x20134,x20132))
% 191.26/191.49 [2014]~E(x20141,x20142)+E(f480(x20141,x20143,x20144,x20145,x20146,x20147,x20148),f480(x20142,x20143,x20144,x20145,x20146,x20147,x20148))
% 191.26/191.49 [2015]~E(x20151,x20152)+E(f480(x20153,x20151,x20154,x20155,x20156,x20157,x20158),f480(x20153,x20152,x20154,x20155,x20156,x20157,x20158))
% 191.26/191.49 [2016]~E(x20161,x20162)+E(f480(x20163,x20164,x20161,x20165,x20166,x20167,x20168),f480(x20163,x20164,x20162,x20165,x20166,x20167,x20168))
% 191.26/191.49 [2017]~E(x20171,x20172)+E(f480(x20173,x20174,x20175,x20171,x20176,x20177,x20178),f480(x20173,x20174,x20175,x20172,x20176,x20177,x20178))
% 191.26/191.49 [2018]~E(x20181,x20182)+E(f480(x20183,x20184,x20185,x20186,x20181,x20187,x20188),f480(x20183,x20184,x20185,x20186,x20182,x20187,x20188))
% 191.26/191.49 [2019]~E(x20191,x20192)+E(f480(x20193,x20194,x20195,x20196,x20197,x20191,x20198),f480(x20193,x20194,x20195,x20196,x20197,x20192,x20198))
% 191.26/191.49 [2020]~E(x20201,x20202)+E(f480(x20203,x20204,x20205,x20206,x20207,x20208,x20201),f480(x20203,x20204,x20205,x20206,x20207,x20208,x20202))
% 191.26/191.49 [2021]~E(x20211,x20212)+E(f424(x20211,x20213,x20214,x20215),f424(x20212,x20213,x20214,x20215))
% 191.26/191.49 [2022]~E(x20221,x20222)+E(f424(x20223,x20221,x20224,x20225),f424(x20223,x20222,x20224,x20225))
% 191.26/191.49 [2023]~E(x20231,x20232)+E(f424(x20233,x20234,x20231,x20235),f424(x20233,x20234,x20232,x20235))
% 191.26/191.49 [2024]~E(x20241,x20242)+E(f424(x20243,x20244,x20245,x20241),f424(x20243,x20244,x20245,x20242))
% 191.26/191.49 [2025]~E(x20251,x20252)+E(f858(x20251,x20253,x20254),f858(x20252,x20253,x20254))
% 191.26/191.49 [2026]~E(x20261,x20262)+E(f858(x20263,x20261,x20264),f858(x20263,x20262,x20264))
% 191.26/191.49 [2027]~E(x20271,x20272)+E(f858(x20273,x20274,x20271),f858(x20273,x20274,x20272))
% 191.26/191.49 [2028]~E(x20281,x20282)+E(f552(x20281,x20283,x20284),f552(x20282,x20283,x20284))
% 191.26/191.49 [2029]~E(x20291,x20292)+E(f552(x20293,x20291,x20294),f552(x20293,x20292,x20294))
% 191.26/191.49 [2030]~E(x20301,x20302)+E(f552(x20303,x20304,x20301),f552(x20303,x20304,x20302))
% 191.26/191.49 [2031]~E(x20311,x20312)+E(f669(x20311,x20313,x20314,x20315),f669(x20312,x20313,x20314,x20315))
% 191.26/191.49 [2032]~E(x20321,x20322)+E(f669(x20323,x20321,x20324,x20325),f669(x20323,x20322,x20324,x20325))
% 191.26/191.49 [2033]~E(x20331,x20332)+E(f669(x20333,x20334,x20331,x20335),f669(x20333,x20334,x20332,x20335))
% 191.26/191.49 [2034]~E(x20341,x20342)+E(f669(x20343,x20344,x20345,x20341),f669(x20343,x20344,x20345,x20342))
% 191.26/191.49 [2035]~E(x20351,x20352)+E(f543(x20351,x20353,x20354,x20355,x20356),f543(x20352,x20353,x20354,x20355,x20356))
% 191.26/191.49 [2036]~E(x20361,x20362)+E(f543(x20363,x20361,x20364,x20365,x20366),f543(x20363,x20362,x20364,x20365,x20366))
% 191.26/191.49 [2037]~E(x20371,x20372)+E(f543(x20373,x20374,x20371,x20375,x20376),f543(x20373,x20374,x20372,x20375,x20376))
% 191.26/191.49 [2038]~E(x20381,x20382)+E(f543(x20383,x20384,x20385,x20381,x20386),f543(x20383,x20384,x20385,x20382,x20386))
% 191.26/191.49 [2039]~E(x20391,x20392)+E(f543(x20393,x20394,x20395,x20396,x20391),f543(x20393,x20394,x20395,x20396,x20392))
% 191.26/191.49 [2040]~E(x20401,x20402)+E(f454(x20401,x20403,x20404,x20405,x20406),f454(x20402,x20403,x20404,x20405,x20406))
% 191.26/191.49 [2041]~E(x20411,x20412)+E(f454(x20413,x20411,x20414,x20415,x20416),f454(x20413,x20412,x20414,x20415,x20416))
% 191.26/191.49 [2042]~E(x20421,x20422)+E(f454(x20423,x20424,x20421,x20425,x20426),f454(x20423,x20424,x20422,x20425,x20426))
% 191.26/191.49 [2043]~E(x20431,x20432)+E(f454(x20433,x20434,x20435,x20431,x20436),f454(x20433,x20434,x20435,x20432,x20436))
% 191.26/191.49 [2044]~E(x20441,x20442)+E(f454(x20443,x20444,x20445,x20446,x20441),f454(x20443,x20444,x20445,x20446,x20442))
% 191.26/191.49 [2045]~E(x20451,x20452)+E(f705(x20451,x20453,x20454,x20455,x20456),f705(x20452,x20453,x20454,x20455,x20456))
% 191.26/191.49 [2046]~E(x20461,x20462)+E(f705(x20463,x20461,x20464,x20465,x20466),f705(x20463,x20462,x20464,x20465,x20466))
% 191.26/191.49 [2047]~E(x20471,x20472)+E(f705(x20473,x20474,x20471,x20475,x20476),f705(x20473,x20474,x20472,x20475,x20476))
% 191.26/191.49 [2048]~E(x20481,x20482)+E(f705(x20483,x20484,x20485,x20481,x20486),f705(x20483,x20484,x20485,x20482,x20486))
% 191.26/191.49 [2049]~E(x20491,x20492)+E(f705(x20493,x20494,x20495,x20496,x20491),f705(x20493,x20494,x20495,x20496,x20492))
% 191.26/191.49 [2050]~E(x20501,x20502)+E(f355(x20501,x20503,x20504),f355(x20502,x20503,x20504))
% 191.26/191.49 [2051]~E(x20511,x20512)+E(f355(x20513,x20511,x20514),f355(x20513,x20512,x20514))
% 191.26/191.49 [2052]~E(x20521,x20522)+E(f355(x20523,x20524,x20521),f355(x20523,x20524,x20522))
% 191.26/191.49 [2053]~E(x20531,x20532)+E(f504(x20531,x20533,x20534,x20535,x20536),f504(x20532,x20533,x20534,x20535,x20536))
% 191.26/191.49 [2054]~E(x20541,x20542)+E(f504(x20543,x20541,x20544,x20545,x20546),f504(x20543,x20542,x20544,x20545,x20546))
% 191.26/191.49 [2055]~E(x20551,x20552)+E(f504(x20553,x20554,x20551,x20555,x20556),f504(x20553,x20554,x20552,x20555,x20556))
% 191.26/191.49 [2056]~E(x20561,x20562)+E(f504(x20563,x20564,x20565,x20561,x20566),f504(x20563,x20564,x20565,x20562,x20566))
% 191.26/191.49 [2057]~E(x20571,x20572)+E(f504(x20573,x20574,x20575,x20576,x20571),f504(x20573,x20574,x20575,x20576,x20572))
% 191.26/191.49 [2058]~E(x20581,x20582)+E(f294(x20581,x20583),f294(x20582,x20583))
% 191.26/191.49 [2059]~E(x20591,x20592)+E(f294(x20593,x20591),f294(x20593,x20592))
% 191.26/191.49 [2060]~E(x20601,x20602)+E(f566(x20601,x20603),f566(x20602,x20603))
% 191.26/191.49 [2061]~E(x20611,x20612)+E(f566(x20613,x20611),f566(x20613,x20612))
% 191.26/191.49 [2062]~E(x20621,x20622)+E(f96(x20621,x20623,x20624),f96(x20622,x20623,x20624))
% 191.26/191.49 [2063]~E(x20631,x20632)+E(f96(x20633,x20631,x20634),f96(x20633,x20632,x20634))
% 191.26/191.49 [2064]~E(x20641,x20642)+E(f96(x20643,x20644,x20641),f96(x20643,x20644,x20642))
% 191.26/191.49 [2065]~E(x20651,x20652)+E(f648(x20651,x20653,x20654),f648(x20652,x20653,x20654))
% 191.26/191.49 [2066]~E(x20661,x20662)+E(f648(x20663,x20661,x20664),f648(x20663,x20662,x20664))
% 191.26/191.49 [2067]~E(x20671,x20672)+E(f648(x20673,x20674,x20671),f648(x20673,x20674,x20672))
% 191.26/191.49 [2068]~E(x20681,x20682)+E(f687(x20681,x20683,x20684),f687(x20682,x20683,x20684))
% 191.26/191.49 [2069]~E(x20691,x20692)+E(f687(x20693,x20691,x20694),f687(x20693,x20692,x20694))
% 191.26/191.49 [2070]~E(x20701,x20702)+E(f687(x20703,x20704,x20701),f687(x20703,x20704,x20702))
% 191.26/191.49 [2071]~E(x20711,x20712)+E(f640(x20711,x20713,x20714),f640(x20712,x20713,x20714))
% 191.26/191.49 [2072]~E(x20721,x20722)+E(f640(x20723,x20721,x20724),f640(x20723,x20722,x20724))
% 191.26/191.49 [2073]~E(x20731,x20732)+E(f640(x20733,x20734,x20731),f640(x20733,x20734,x20732))
% 191.26/191.49 [2074]~E(x20741,x20742)+E(f633(x20741,x20743,x20744,x20745,x20746),f633(x20742,x20743,x20744,x20745,x20746))
% 191.26/191.49 [2075]~E(x20751,x20752)+E(f633(x20753,x20751,x20754,x20755,x20756),f633(x20753,x20752,x20754,x20755,x20756))
% 191.26/191.49 [2076]~E(x20761,x20762)+E(f633(x20763,x20764,x20761,x20765,x20766),f633(x20763,x20764,x20762,x20765,x20766))
% 191.26/191.49 [2077]~E(x20771,x20772)+E(f633(x20773,x20774,x20775,x20771,x20776),f633(x20773,x20774,x20775,x20772,x20776))
% 191.26/191.49 [2078]~E(x20781,x20782)+E(f633(x20783,x20784,x20785,x20786,x20781),f633(x20783,x20784,x20785,x20786,x20782))
% 191.26/191.49 [2079]~E(x20791,x20792)+E(f709(x20791,x20793,x20794,x20795),f709(x20792,x20793,x20794,x20795))
% 191.26/191.49 [2080]~E(x20801,x20802)+E(f709(x20803,x20801,x20804,x20805),f709(x20803,x20802,x20804,x20805))
% 191.26/191.49 [2081]~E(x20811,x20812)+E(f709(x20813,x20814,x20811,x20815),f709(x20813,x20814,x20812,x20815))
% 191.26/191.49 [2082]~E(x20821,x20822)+E(f709(x20823,x20824,x20825,x20821),f709(x20823,x20824,x20825,x20822))
% 191.26/191.49 [2083]~E(x20831,x20832)+E(f376(x20831,x20833),f376(x20832,x20833))
% 191.26/191.49 [2084]~E(x20841,x20842)+E(f376(x20843,x20841),f376(x20843,x20842))
% 191.26/191.49 [2085]~E(x20851,x20852)+E(f612(x20851,x20853,x20854),f612(x20852,x20853,x20854))
% 191.26/191.49 [2086]~E(x20861,x20862)+E(f612(x20863,x20861,x20864),f612(x20863,x20862,x20864))
% 191.26/191.49 [2087]~E(x20871,x20872)+E(f612(x20873,x20874,x20871),f612(x20873,x20874,x20872))
% 191.26/191.49 [2088]~E(x20881,x20882)+E(f314(x20881,x20883),f314(x20882,x20883))
% 191.26/191.49 [2089]~E(x20891,x20892)+E(f314(x20893,x20891),f314(x20893,x20892))
% 191.26/191.49 [2090]~E(x20901,x20902)+E(f420(x20901,x20903,x20904,x20905),f420(x20902,x20903,x20904,x20905))
% 191.26/191.49 [2091]~E(x20911,x20912)+E(f420(x20913,x20911,x20914,x20915),f420(x20913,x20912,x20914,x20915))
% 191.26/191.49 [2092]~E(x20921,x20922)+E(f420(x20923,x20924,x20921,x20925),f420(x20923,x20924,x20922,x20925))
% 191.26/191.49 [2093]~E(x20931,x20932)+E(f420(x20933,x20934,x20935,x20931),f420(x20933,x20934,x20935,x20932))
% 191.26/191.49 [2094]~E(x20941,x20942)+E(f808(x20941,x20943,x20944,x20945),f808(x20942,x20943,x20944,x20945))
% 191.26/191.49 [2095]~E(x20951,x20952)+E(f808(x20953,x20951,x20954,x20955),f808(x20953,x20952,x20954,x20955))
% 191.26/191.49 [2096]~E(x20961,x20962)+E(f808(x20963,x20964,x20961,x20965),f808(x20963,x20964,x20962,x20965))
% 191.26/191.49 [2097]~E(x20971,x20972)+E(f808(x20973,x20974,x20975,x20971),f808(x20973,x20974,x20975,x20972))
% 191.26/191.49 [2098]~E(x20981,x20982)+E(f819(x20981,x20983,x20984,x20985),f819(x20982,x20983,x20984,x20985))
% 191.26/191.49 [2099]~E(x20991,x20992)+E(f819(x20993,x20991,x20994,x20995),f819(x20993,x20992,x20994,x20995))
% 191.26/191.49 [2100]~E(x21001,x21002)+E(f819(x21003,x21004,x21001,x21005),f819(x21003,x21004,x21002,x21005))
% 191.26/191.49 [2101]~E(x21011,x21012)+E(f819(x21013,x21014,x21015,x21011),f819(x21013,x21014,x21015,x21012))
% 191.26/191.49 [2102]~E(x21021,x21022)+E(f407(x21021,x21023,x21024),f407(x21022,x21023,x21024))
% 191.26/191.49 [2103]~E(x21031,x21032)+E(f407(x21033,x21031,x21034),f407(x21033,x21032,x21034))
% 191.26/191.49 [2104]~E(x21041,x21042)+E(f407(x21043,x21044,x21041),f407(x21043,x21044,x21042))
% 191.26/191.49 [2105]~E(x21051,x21052)+E(f414(x21051,x21053,x21054,x21055),f414(x21052,x21053,x21054,x21055))
% 191.26/191.49 [2106]~E(x21061,x21062)+E(f414(x21063,x21061,x21064,x21065),f414(x21063,x21062,x21064,x21065))
% 191.26/191.49 [2107]~E(x21071,x21072)+E(f414(x21073,x21074,x21071,x21075),f414(x21073,x21074,x21072,x21075))
% 191.26/191.49 [2108]~E(x21081,x21082)+E(f414(x21083,x21084,x21085,x21081),f414(x21083,x21084,x21085,x21082))
% 191.26/191.49 [2109]~E(x21091,x21092)+E(f387(x21091,x21093,x21094),f387(x21092,x21093,x21094))
% 191.26/191.49 [2110]~E(x21101,x21102)+E(f387(x21103,x21101,x21104),f387(x21103,x21102,x21104))
% 191.26/191.49 [2111]~E(x21111,x21112)+E(f387(x21113,x21114,x21111),f387(x21113,x21114,x21112))
% 191.26/191.49 [2112]~E(x21121,x21122)+E(f419(x21121,x21123,x21124,x21125),f419(x21122,x21123,x21124,x21125))
% 191.26/191.49 [2113]~E(x21131,x21132)+E(f419(x21133,x21131,x21134,x21135),f419(x21133,x21132,x21134,x21135))
% 191.26/191.49 [2114]~E(x21141,x21142)+E(f419(x21143,x21144,x21141,x21145),f419(x21143,x21144,x21142,x21145))
% 191.26/191.49 [2115]~E(x21151,x21152)+E(f419(x21153,x21154,x21155,x21151),f419(x21153,x21154,x21155,x21152))
% 191.26/191.49 [2116]~E(x21161,x21162)+E(f230(x21161,x21163,x21164,x21165,x21166),f230(x21162,x21163,x21164,x21165,x21166))
% 191.26/191.49 [2117]~E(x21171,x21172)+E(f230(x21173,x21171,x21174,x21175,x21176),f230(x21173,x21172,x21174,x21175,x21176))
% 191.26/191.49 [2118]~E(x21181,x21182)+E(f230(x21183,x21184,x21181,x21185,x21186),f230(x21183,x21184,x21182,x21185,x21186))
% 191.26/191.49 [2119]~E(x21191,x21192)+E(f230(x21193,x21194,x21195,x21191,x21196),f230(x21193,x21194,x21195,x21192,x21196))
% 191.26/191.49 [2120]~E(x21201,x21202)+E(f230(x21203,x21204,x21205,x21206,x21201),f230(x21203,x21204,x21205,x21206,x21202))
% 191.26/191.49 [2121]~E(x21211,x21212)+E(f625(x21211,x21213,x21214,x21215),f625(x21212,x21213,x21214,x21215))
% 191.26/191.49 [2122]~E(x21221,x21222)+E(f625(x21223,x21221,x21224,x21225),f625(x21223,x21222,x21224,x21225))
% 191.26/191.49 [2123]~E(x21231,x21232)+E(f625(x21233,x21234,x21231,x21235),f625(x21233,x21234,x21232,x21235))
% 191.26/191.49 [2124]~E(x21241,x21242)+E(f625(x21243,x21244,x21245,x21241),f625(x21243,x21244,x21245,x21242))
% 191.26/191.49 [2125]~E(x21251,x21252)+E(f362(x21251,x21253),f362(x21252,x21253))
% 191.26/191.49 [2126]~E(x21261,x21262)+E(f362(x21263,x21261),f362(x21263,x21262))
% 191.26/191.49 [2127]~E(x21271,x21272)+E(f449(x21271,x21273,x21274,x21275,x21276),f449(x21272,x21273,x21274,x21275,x21276))
% 191.26/191.49 [2128]~E(x21281,x21282)+E(f449(x21283,x21281,x21284,x21285,x21286),f449(x21283,x21282,x21284,x21285,x21286))
% 191.26/191.49 [2129]~E(x21291,x21292)+E(f449(x21293,x21294,x21291,x21295,x21296),f449(x21293,x21294,x21292,x21295,x21296))
% 191.26/191.49 [2130]~E(x21301,x21302)+E(f449(x21303,x21304,x21305,x21301,x21306),f449(x21303,x21304,x21305,x21302,x21306))
% 191.26/191.49 [2131]~E(x21311,x21312)+E(f449(x21313,x21314,x21315,x21316,x21311),f449(x21313,x21314,x21315,x21316,x21312))
% 191.26/191.49 [2132]~E(x21321,x21322)+E(f699(x21321,x21323),f699(x21322,x21323))
% 191.26/191.49 [2133]~E(x21331,x21332)+E(f699(x21333,x21331),f699(x21333,x21332))
% 191.26/191.49 [2134]~E(x21341,x21342)+E(f631(x21341,x21343,x21344,x21345),f631(x21342,x21343,x21344,x21345))
% 191.26/191.49 [2135]~E(x21351,x21352)+E(f631(x21353,x21351,x21354,x21355),f631(x21353,x21352,x21354,x21355))
% 191.26/191.49 [2136]~E(x21361,x21362)+E(f631(x21363,x21364,x21361,x21365),f631(x21363,x21364,x21362,x21365))
% 191.26/191.49 [2137]~E(x21371,x21372)+E(f631(x21373,x21374,x21375,x21371),f631(x21373,x21374,x21375,x21372))
% 191.26/191.49 [2138]~E(x21381,x21382)+E(f716(x21381,x21383,x21384),f716(x21382,x21383,x21384))
% 191.26/191.49 [2139]~E(x21391,x21392)+E(f716(x21393,x21391,x21394),f716(x21393,x21392,x21394))
% 191.26/191.49 [2140]~E(x21401,x21402)+E(f716(x21403,x21404,x21401),f716(x21403,x21404,x21402))
% 191.26/191.49 [2141]~E(x21411,x21412)+E(f818(x21411,x21413),f818(x21412,x21413))
% 191.26/191.49 [2142]~E(x21421,x21422)+E(f818(x21423,x21421),f818(x21423,x21422))
% 191.26/191.49 [2143]~E(x21431,x21432)+E(f273(x21431,x21433),f273(x21432,x21433))
% 191.26/191.49 [2144]~E(x21441,x21442)+E(f273(x21443,x21441),f273(x21443,x21442))
% 191.26/191.49 [2145]~E(x21451,x21452)+E(f775(x21451,x21453,x21454),f775(x21452,x21453,x21454))
% 191.26/191.49 [2146]~E(x21461,x21462)+E(f775(x21463,x21461,x21464),f775(x21463,x21462,x21464))
% 191.26/191.49 [2147]~E(x21471,x21472)+E(f775(x21473,x21474,x21471),f775(x21473,x21474,x21472))
% 191.26/191.49 [2148]~E(x21481,x21482)+E(f402(x21481,x21483),f402(x21482,x21483))
% 191.26/191.49 [2149]~E(x21491,x21492)+E(f402(x21493,x21491),f402(x21493,x21492))
% 191.26/191.49 [2150]~E(x21501,x21502)+E(f768(x21501,x21503,x21504,x21505,x21506),f768(x21502,x21503,x21504,x21505,x21506))
% 191.26/191.49 [2151]~E(x21511,x21512)+E(f768(x21513,x21511,x21514,x21515,x21516),f768(x21513,x21512,x21514,x21515,x21516))
% 191.26/191.49 [2152]~E(x21521,x21522)+E(f768(x21523,x21524,x21521,x21525,x21526),f768(x21523,x21524,x21522,x21525,x21526))
% 191.26/191.49 [2153]~E(x21531,x21532)+E(f768(x21533,x21534,x21535,x21531,x21536),f768(x21533,x21534,x21535,x21532,x21536))
% 191.26/191.49 [2154]~E(x21541,x21542)+E(f768(x21543,x21544,x21545,x21546,x21541),f768(x21543,x21544,x21545,x21546,x21542))
% 191.26/191.49 [2155]~E(x21551,x21552)+E(f252(x21551,x21553,x21554),f252(x21552,x21553,x21554))
% 191.26/191.49 [2156]~E(x21561,x21562)+E(f252(x21563,x21561,x21564),f252(x21563,x21562,x21564))
% 191.26/191.49 [2157]~E(x21571,x21572)+E(f252(x21573,x21574,x21571),f252(x21573,x21574,x21572))
% 191.26/191.49 [2158]~E(x21581,x21582)+E(f893(x21581,x21583,x21584),f893(x21582,x21583,x21584))
% 191.26/191.49 [2159]~E(x21591,x21592)+E(f893(x21593,x21591,x21594),f893(x21593,x21592,x21594))
% 191.26/191.49 [2160]~E(x21601,x21602)+E(f893(x21603,x21604,x21601),f893(x21603,x21604,x21602))
% 191.26/191.49 [2161]~E(x21611,x21612)+E(f833(x21611,x21613,x21614),f833(x21612,x21613,x21614))
% 191.26/191.49 [2162]~E(x21621,x21622)+E(f833(x21623,x21621,x21624),f833(x21623,x21622,x21624))
% 191.26/191.49 [2163]~E(x21631,x21632)+E(f833(x21633,x21634,x21631),f833(x21633,x21634,x21632))
% 191.26/191.49 [2164]~E(x21641,x21642)+E(f512(x21641,x21643,x21644),f512(x21642,x21643,x21644))
% 191.26/191.49 [2165]~E(x21651,x21652)+E(f512(x21653,x21651,x21654),f512(x21653,x21652,x21654))
% 191.26/191.49 [2166]~E(x21661,x21662)+E(f512(x21663,x21664,x21661),f512(x21663,x21664,x21662))
% 191.26/191.49 [2167]~E(x21671,x21672)+E(f43(x21671),f43(x21672))
% 191.26/191.49 [2168]~E(x21681,x21682)+E(f546(x21681,x21683,x21684,x21685,x21686,x21687),f546(x21682,x21683,x21684,x21685,x21686,x21687))
% 191.26/191.49 [2169]~E(x21691,x21692)+E(f546(x21693,x21691,x21694,x21695,x21696,x21697),f546(x21693,x21692,x21694,x21695,x21696,x21697))
% 191.26/191.49 [2170]~E(x21701,x21702)+E(f546(x21703,x21704,x21701,x21705,x21706,x21707),f546(x21703,x21704,x21702,x21705,x21706,x21707))
% 191.26/191.49 [2171]~E(x21711,x21712)+E(f546(x21713,x21714,x21715,x21711,x21716,x21717),f546(x21713,x21714,x21715,x21712,x21716,x21717))
% 191.26/191.49 [2172]~E(x21721,x21722)+E(f546(x21723,x21724,x21725,x21726,x21721,x21727),f546(x21723,x21724,x21725,x21726,x21722,x21727))
% 191.26/191.49 [2173]~E(x21731,x21732)+E(f546(x21733,x21734,x21735,x21736,x21737,x21731),f546(x21733,x21734,x21735,x21736,x21737,x21732))
% 191.26/191.49 [2174]~E(x21741,x21742)+E(f519(x21741,x21743,x21744,x21745,x21746),f519(x21742,x21743,x21744,x21745,x21746))
% 191.26/191.49 [2175]~E(x21751,x21752)+E(f519(x21753,x21751,x21754,x21755,x21756),f519(x21753,x21752,x21754,x21755,x21756))
% 191.26/191.49 [2176]~E(x21761,x21762)+E(f519(x21763,x21764,x21761,x21765,x21766),f519(x21763,x21764,x21762,x21765,x21766))
% 191.26/191.49 [2177]~E(x21771,x21772)+E(f519(x21773,x21774,x21775,x21771,x21776),f519(x21773,x21774,x21775,x21772,x21776))
% 191.26/191.49 [2178]~E(x21781,x21782)+E(f519(x21783,x21784,x21785,x21786,x21781),f519(x21783,x21784,x21785,x21786,x21782))
% 191.26/191.49 [2179]~E(x21791,x21792)+E(f849(x21791),f849(x21792))
% 191.26/191.49 [2180]~E(x21801,x21802)+E(f540(x21801,x21803,x21804,x21805),f540(x21802,x21803,x21804,x21805))
% 191.26/191.49 [2181]~E(x21811,x21812)+E(f540(x21813,x21811,x21814,x21815),f540(x21813,x21812,x21814,x21815))
% 191.26/191.49 [2182]~E(x21821,x21822)+E(f540(x21823,x21824,x21821,x21825),f540(x21823,x21824,x21822,x21825))
% 191.26/191.49 [2183]~E(x21831,x21832)+E(f540(x21833,x21834,x21835,x21831),f540(x21833,x21834,x21835,x21832))
% 191.26/191.49 [2184]~E(x21841,x21842)+E(f521(x21841,x21843,x21844,x21845,x21846,x21847,x21848,x21849),f521(x21842,x21843,x21844,x21845,x21846,x21847,x21848,x21849))
% 191.26/191.49 [2185]~E(x21851,x21852)+E(f521(x21853,x21851,x21854,x21855,x21856,x21857,x21858,x21859),f521(x21853,x21852,x21854,x21855,x21856,x21857,x21858,x21859))
% 191.26/191.49 [2186]~E(x21861,x21862)+E(f521(x21863,x21864,x21861,x21865,x21866,x21867,x21868,x21869),f521(x21863,x21864,x21862,x21865,x21866,x21867,x21868,x21869))
% 191.26/191.49 [2187]~E(x21871,x21872)+E(f521(x21873,x21874,x21875,x21871,x21876,x21877,x21878,x21879),f521(x21873,x21874,x21875,x21872,x21876,x21877,x21878,x21879))
% 191.26/191.49 [2188]~E(x21881,x21882)+E(f521(x21883,x21884,x21885,x21886,x21881,x21887,x21888,x21889),f521(x21883,x21884,x21885,x21886,x21882,x21887,x21888,x21889))
% 191.26/191.49 [2189]~E(x21891,x21892)+E(f521(x21893,x21894,x21895,x21896,x21897,x21891,x21898,x21899),f521(x21893,x21894,x21895,x21896,x21897,x21892,x21898,x21899))
% 191.26/191.49 [2190]~E(x21901,x21902)+E(f521(x21903,x21904,x21905,x21906,x21907,x21908,x21901,x21909),f521(x21903,x21904,x21905,x21906,x21907,x21908,x21902,x21909))
% 191.26/191.49 [2191]~E(x21911,x21912)+E(f521(x21913,x21914,x21915,x21916,x21917,x21918,x21919,x21911),f521(x21913,x21914,x21915,x21916,x21917,x21918,x21919,x21912))
% 191.26/191.49 [2192]~E(x21921,x21922)+E(f545(x21921,x21923,x21924,x21925,x21926),f545(x21922,x21923,x21924,x21925,x21926))
% 191.26/191.49 [2193]~E(x21931,x21932)+E(f545(x21933,x21931,x21934,x21935,x21936),f545(x21933,x21932,x21934,x21935,x21936))
% 191.26/191.49 [2194]~E(x21941,x21942)+E(f545(x21943,x21944,x21941,x21945,x21946),f545(x21943,x21944,x21942,x21945,x21946))
% 191.26/191.49 [2195]~E(x21951,x21952)+E(f545(x21953,x21954,x21955,x21951,x21956),f545(x21953,x21954,x21955,x21952,x21956))
% 191.26/191.49 [2196]~E(x21961,x21962)+E(f545(x21963,x21964,x21965,x21966,x21961),f545(x21963,x21964,x21965,x21966,x21962))
% 191.26/191.49 [2197]~E(x21971,x21972)+E(f806(x21971,x21973),f806(x21972,x21973))
% 191.26/191.49 [2198]~E(x21981,x21982)+E(f806(x21983,x21981),f806(x21983,x21982))
% 191.26/191.49 [2199]~E(x21991,x21992)+E(f298(x21991,x21993,x21994,x21995),f298(x21992,x21993,x21994,x21995))
% 191.26/191.49 [2200]~E(x22001,x22002)+E(f298(x22003,x22001,x22004,x22005),f298(x22003,x22002,x22004,x22005))
% 191.26/191.49 [2201]~E(x22011,x22012)+E(f298(x22013,x22014,x22011,x22015),f298(x22013,x22014,x22012,x22015))
% 191.26/191.49 [2202]~E(x22021,x22022)+E(f298(x22023,x22024,x22025,x22021),f298(x22023,x22024,x22025,x22022))
% 191.26/191.49 [2203]~E(x22031,x22032)+E(f865(x22031,x22033),f865(x22032,x22033))
% 191.26/191.49 [2204]~E(x22041,x22042)+E(f865(x22043,x22041),f865(x22043,x22042))
% 191.26/191.49 [2205]~E(x22051,x22052)+E(f815(x22051,x22053,x22054,x22055,x22056,x22057,x22058),f815(x22052,x22053,x22054,x22055,x22056,x22057,x22058))
% 191.26/191.49 [2206]~E(x22061,x22062)+E(f815(x22063,x22061,x22064,x22065,x22066,x22067,x22068),f815(x22063,x22062,x22064,x22065,x22066,x22067,x22068))
% 191.26/191.49 [2207]~E(x22071,x22072)+E(f815(x22073,x22074,x22071,x22075,x22076,x22077,x22078),f815(x22073,x22074,x22072,x22075,x22076,x22077,x22078))
% 191.26/191.49 [2208]~E(x22081,x22082)+E(f815(x22083,x22084,x22085,x22081,x22086,x22087,x22088),f815(x22083,x22084,x22085,x22082,x22086,x22087,x22088))
% 191.26/191.49 [2209]~E(x22091,x22092)+E(f815(x22093,x22094,x22095,x22096,x22091,x22097,x22098),f815(x22093,x22094,x22095,x22096,x22092,x22097,x22098))
% 191.26/191.49 [2210]~E(x22101,x22102)+E(f815(x22103,x22104,x22105,x22106,x22107,x22101,x22108),f815(x22103,x22104,x22105,x22106,x22107,x22102,x22108))
% 191.26/191.49 [2211]~E(x22111,x22112)+E(f815(x22113,x22114,x22115,x22116,x22117,x22118,x22111),f815(x22113,x22114,x22115,x22116,x22117,x22118,x22112))
% 191.26/191.49 [2212]~E(x22121,x22122)+E(f471(x22121,x22123,x22124,x22125,x22126),f471(x22122,x22123,x22124,x22125,x22126))
% 191.26/191.49 [2213]~E(x22131,x22132)+E(f471(x22133,x22131,x22134,x22135,x22136),f471(x22133,x22132,x22134,x22135,x22136))
% 191.26/191.49 [2214]~E(x22141,x22142)+E(f471(x22143,x22144,x22141,x22145,x22146),f471(x22143,x22144,x22142,x22145,x22146))
% 191.26/191.49 [2215]~E(x22151,x22152)+E(f471(x22153,x22154,x22155,x22151,x22156),f471(x22153,x22154,x22155,x22152,x22156))
% 191.26/191.49 [2216]~E(x22161,x22162)+E(f471(x22163,x22164,x22165,x22166,x22161),f471(x22163,x22164,x22165,x22166,x22162))
% 191.26/191.49 [2217]~E(x22171,x22172)+E(f488(x22171,x22173,x22174,x22175,x22176),f488(x22172,x22173,x22174,x22175,x22176))
% 191.26/191.49 [2218]~E(x22181,x22182)+E(f488(x22183,x22181,x22184,x22185,x22186),f488(x22183,x22182,x22184,x22185,x22186))
% 191.26/191.49 [2219]~E(x22191,x22192)+E(f488(x22193,x22194,x22191,x22195,x22196),f488(x22193,x22194,x22192,x22195,x22196))
% 191.26/191.49 [2220]~E(x22201,x22202)+E(f488(x22203,x22204,x22205,x22201,x22206),f488(x22203,x22204,x22205,x22202,x22206))
% 191.26/191.49 [2221]~E(x22211,x22212)+E(f488(x22213,x22214,x22215,x22216,x22211),f488(x22213,x22214,x22215,x22216,x22212))
% 191.26/191.49 [2222]~E(x22221,x22222)+E(f226(x22221,x22223,x22224),f226(x22222,x22223,x22224))
% 191.26/191.49 [2223]~E(x22231,x22232)+E(f226(x22233,x22231,x22234),f226(x22233,x22232,x22234))
% 191.26/191.49 [2224]~E(x22241,x22242)+E(f226(x22243,x22244,x22241),f226(x22243,x22244,x22242))
% 191.26/191.49 [2225]~E(x22251,x22252)+E(f415(x22251,x22253,x22254,x22255),f415(x22252,x22253,x22254,x22255))
% 191.26/191.49 [2226]~E(x22261,x22262)+E(f415(x22263,x22261,x22264,x22265),f415(x22263,x22262,x22264,x22265))
% 191.26/191.49 [2227]~E(x22271,x22272)+E(f415(x22273,x22274,x22271,x22275),f415(x22273,x22274,x22272,x22275))
% 191.26/191.49 [2228]~E(x22281,x22282)+E(f415(x22283,x22284,x22285,x22281),f415(x22283,x22284,x22285,x22282))
% 191.26/191.49 [2229]~E(x22291,x22292)+E(f764(x22291,x22293),f764(x22292,x22293))
% 191.26/191.49 [2230]~E(x22301,x22302)+E(f764(x22303,x22301),f764(x22303,x22302))
% 191.26/191.49 [2231]~E(x22311,x22312)+E(f613(x22311,x22313,x22314,x22315),f613(x22312,x22313,x22314,x22315))
% 191.26/191.49 [2232]~E(x22321,x22322)+E(f613(x22323,x22321,x22324,x22325),f613(x22323,x22322,x22324,x22325))
% 191.26/191.49 [2233]~E(x22331,x22332)+E(f613(x22333,x22334,x22331,x22335),f613(x22333,x22334,x22332,x22335))
% 191.26/191.49 [2234]~E(x22341,x22342)+E(f613(x22343,x22344,x22345,x22341),f613(x22343,x22344,x22345,x22342))
% 191.26/191.49 [2235]~E(x22351,x22352)+E(f384(x22351,x22353,x22354),f384(x22352,x22353,x22354))
% 191.26/191.49 [2236]~E(x22361,x22362)+E(f384(x22363,x22361,x22364),f384(x22363,x22362,x22364))
% 191.26/191.49 [2237]~E(x22371,x22372)+E(f384(x22373,x22374,x22371),f384(x22373,x22374,x22372))
% 191.26/191.49 [2238]~E(x22381,x22382)+E(f557(x22381,x22383,x22384,x22385),f557(x22382,x22383,x22384,x22385))
% 191.26/191.49 [2239]~E(x22391,x22392)+E(f557(x22393,x22391,x22394,x22395),f557(x22393,x22392,x22394,x22395))
% 191.26/191.49 [2240]~E(x22401,x22402)+E(f557(x22403,x22404,x22401,x22405),f557(x22403,x22404,x22402,x22405))
% 191.26/191.49 [2241]~E(x22411,x22412)+E(f557(x22413,x22414,x22415,x22411),f557(x22413,x22414,x22415,x22412))
% 191.26/191.49 [2242]~E(x22421,x22422)+E(f428(x22421,x22423,x22424),f428(x22422,x22423,x22424))
% 191.26/191.49 [2243]~E(x22431,x22432)+E(f428(x22433,x22431,x22434),f428(x22433,x22432,x22434))
% 191.26/191.49 [2244]~E(x22441,x22442)+E(f428(x22443,x22444,x22441),f428(x22443,x22444,x22442))
% 191.26/191.49 [2245]~E(x22451,x22452)+E(f547(x22451,x22453,x22454,x22455,x22456,x22457),f547(x22452,x22453,x22454,x22455,x22456,x22457))
% 191.26/191.49 [2246]~E(x22461,x22462)+E(f547(x22463,x22461,x22464,x22465,x22466,x22467),f547(x22463,x22462,x22464,x22465,x22466,x22467))
% 191.26/191.49 [2247]~E(x22471,x22472)+E(f547(x22473,x22474,x22471,x22475,x22476,x22477),f547(x22473,x22474,x22472,x22475,x22476,x22477))
% 191.26/191.49 [2248]~E(x22481,x22482)+E(f547(x22483,x22484,x22485,x22481,x22486,x22487),f547(x22483,x22484,x22485,x22482,x22486,x22487))
% 191.26/191.49 [2249]~E(x22491,x22492)+E(f547(x22493,x22494,x22495,x22496,x22491,x22497),f547(x22493,x22494,x22495,x22496,x22492,x22497))
% 191.26/191.49 [2250]~E(x22501,x22502)+E(f547(x22503,x22504,x22505,x22506,x22507,x22501),f547(x22503,x22504,x22505,x22506,x22507,x22502))
% 191.26/191.49 [2251]~E(x22511,x22512)+E(f21(x22511,x22513),f21(x22512,x22513))
% 191.26/191.49 [2252]~E(x22521,x22522)+E(f21(x22523,x22521),f21(x22523,x22522))
% 191.26/191.49 [2253]~E(x22531,x22532)+E(f427(x22531,x22533,x22534),f427(x22532,x22533,x22534))
% 191.26/191.49 [2254]~E(x22541,x22542)+E(f427(x22543,x22541,x22544),f427(x22543,x22542,x22544))
% 191.26/191.49 [2255]~E(x22551,x22552)+E(f427(x22553,x22554,x22551),f427(x22553,x22554,x22552))
% 191.26/191.49 [2256]~E(x22561,x22562)+E(f721(x22561,x22563,x22564,x22565,x22566),f721(x22562,x22563,x22564,x22565,x22566))
% 191.26/191.49 [2257]~E(x22571,x22572)+E(f721(x22573,x22571,x22574,x22575,x22576),f721(x22573,x22572,x22574,x22575,x22576))
% 191.26/191.49 [2258]~E(x22581,x22582)+E(f721(x22583,x22584,x22581,x22585,x22586),f721(x22583,x22584,x22582,x22585,x22586))
% 191.26/191.49 [2259]~E(x22591,x22592)+E(f721(x22593,x22594,x22595,x22591,x22596),f721(x22593,x22594,x22595,x22592,x22596))
% 191.26/191.49 [2260]~E(x22601,x22602)+E(f721(x22603,x22604,x22605,x22606,x22601),f721(x22603,x22604,x22605,x22606,x22602))
% 191.26/191.49 [2261]~E(x22611,x22612)+E(f446(x22611,x22613,x22614),f446(x22612,x22613,x22614))
% 191.26/191.49 [2262]~E(x22621,x22622)+E(f446(x22623,x22621,x22624),f446(x22623,x22622,x22624))
% 191.26/191.49 [2263]~E(x22631,x22632)+E(f446(x22633,x22634,x22631),f446(x22633,x22634,x22632))
% 191.26/191.49 [2264]~E(x22641,x22642)+E(f630(x22641,x22643,x22644,x22645),f630(x22642,x22643,x22644,x22645))
% 191.26/191.49 [2265]~E(x22651,x22652)+E(f630(x22653,x22651,x22654,x22655),f630(x22653,x22652,x22654,x22655))
% 191.26/191.49 [2266]~E(x22661,x22662)+E(f630(x22663,x22664,x22661,x22665),f630(x22663,x22664,x22662,x22665))
% 191.26/191.49 [2267]~E(x22671,x22672)+E(f630(x22673,x22674,x22675,x22671),f630(x22673,x22674,x22675,x22672))
% 191.26/191.49 [2268]~E(x22681,x22682)+E(f416(x22681,x22683,x22684,x22685),f416(x22682,x22683,x22684,x22685))
% 191.26/191.49 [2269]~E(x22691,x22692)+E(f416(x22693,x22691,x22694,x22695),f416(x22693,x22692,x22694,x22695))
% 191.26/191.49 [2270]~E(x22701,x22702)+E(f416(x22703,x22704,x22701,x22705),f416(x22703,x22704,x22702,x22705))
% 191.26/191.49 [2271]~E(x22711,x22712)+E(f416(x22713,x22714,x22715,x22711),f416(x22713,x22714,x22715,x22712))
% 191.26/191.49 [2272]~E(x22721,x22722)+E(f382(x22721,x22723,x22724),f382(x22722,x22723,x22724))
% 191.26/191.49 [2273]~E(x22731,x22732)+E(f382(x22733,x22731,x22734),f382(x22733,x22732,x22734))
% 191.26/191.49 [2274]~E(x22741,x22742)+E(f382(x22743,x22744,x22741),f382(x22743,x22744,x22742))
% 191.26/191.49 [2275]~E(x22751,x22752)+E(f575(x22751,x22753,x22754,x22755),f575(x22752,x22753,x22754,x22755))
% 191.26/191.49 [2276]~E(x22761,x22762)+E(f575(x22763,x22761,x22764,x22765),f575(x22763,x22762,x22764,x22765))
% 191.26/191.49 [2277]~E(x22771,x22772)+E(f575(x22773,x22774,x22771,x22775),f575(x22773,x22774,x22772,x22775))
% 191.26/191.49 [2278]~E(x22781,x22782)+E(f575(x22783,x22784,x22785,x22781),f575(x22783,x22784,x22785,x22782))
% 191.26/191.49 [2279]~E(x22791,x22792)+E(f213(x22791,x22793,x22794,x22795),f213(x22792,x22793,x22794,x22795))
% 191.26/191.49 [2280]~E(x22801,x22802)+E(f213(x22803,x22801,x22804,x22805),f213(x22803,x22802,x22804,x22805))
% 191.26/191.49 [2281]~E(x22811,x22812)+E(f213(x22813,x22814,x22811,x22815),f213(x22813,x22814,x22812,x22815))
% 191.26/191.49 [2282]~E(x22821,x22822)+E(f213(x22823,x22824,x22825,x22821),f213(x22823,x22824,x22825,x22822))
% 191.26/191.49 [2283]~E(x22831,x22832)+E(f524(x22831,x22833,x22834,x22835,x22836,x22837),f524(x22832,x22833,x22834,x22835,x22836,x22837))
% 191.26/191.49 [2284]~E(x22841,x22842)+E(f524(x22843,x22841,x22844,x22845,x22846,x22847),f524(x22843,x22842,x22844,x22845,x22846,x22847))
% 191.26/191.49 [2285]~E(x22851,x22852)+E(f524(x22853,x22854,x22851,x22855,x22856,x22857),f524(x22853,x22854,x22852,x22855,x22856,x22857))
% 191.26/191.49 [2286]~E(x22861,x22862)+E(f524(x22863,x22864,x22865,x22861,x22866,x22867),f524(x22863,x22864,x22865,x22862,x22866,x22867))
% 191.26/191.49 [2287]~E(x22871,x22872)+E(f524(x22873,x22874,x22875,x22876,x22871,x22877),f524(x22873,x22874,x22875,x22876,x22872,x22877))
% 191.26/191.49 [2288]~E(x22881,x22882)+E(f524(x22883,x22884,x22885,x22886,x22887,x22881),f524(x22883,x22884,x22885,x22886,x22887,x22882))
% 191.26/191.49 [2289]~E(x22891,x22892)+E(f169(x22891,x22893,x22894),f169(x22892,x22893,x22894))
% 191.26/191.49 [2290]~E(x22901,x22902)+E(f169(x22903,x22901,x22904),f169(x22903,x22902,x22904))
% 191.26/191.49 [2291]~E(x22911,x22912)+E(f169(x22913,x22914,x22911),f169(x22913,x22914,x22912))
% 191.26/191.49 [2292]~E(x22921,x22922)+E(f695(x22921,x22923,x22924,x22925),f695(x22922,x22923,x22924,x22925))
% 191.26/191.49 [2293]~E(x22931,x22932)+E(f695(x22933,x22931,x22934,x22935),f695(x22933,x22932,x22934,x22935))
% 191.26/191.49 [2294]~E(x22941,x22942)+E(f695(x22943,x22944,x22941,x22945),f695(x22943,x22944,x22942,x22945))
% 191.26/191.49 [2295]~E(x22951,x22952)+E(f695(x22953,x22954,x22955,x22951),f695(x22953,x22954,x22955,x22952))
% 191.26/191.49 [2296]~E(x22961,x22962)+E(f411(x22961,x22963,x22964,x22965),f411(x22962,x22963,x22964,x22965))
% 191.26/191.49 [2297]~E(x22971,x22972)+E(f411(x22973,x22971,x22974,x22975),f411(x22973,x22972,x22974,x22975))
% 191.26/191.49 [2298]~E(x22981,x22982)+E(f411(x22983,x22984,x22981,x22985),f411(x22983,x22984,x22982,x22985))
% 191.26/191.49 [2299]~E(x22991,x22992)+E(f411(x22993,x22994,x22995,x22991),f411(x22993,x22994,x22995,x22992))
% 191.26/191.49 [2300]~E(x23001,x23002)+E(f413(x23001,x23003,x23004,x23005),f413(x23002,x23003,x23004,x23005))
% 191.26/191.49 [2301]~E(x23011,x23012)+E(f413(x23013,x23011,x23014,x23015),f413(x23013,x23012,x23014,x23015))
% 191.26/191.49 [2302]~E(x23021,x23022)+E(f413(x23023,x23024,x23021,x23025),f413(x23023,x23024,x23022,x23025))
% 191.26/191.49 [2303]~E(x23031,x23032)+E(f413(x23033,x23034,x23035,x23031),f413(x23033,x23034,x23035,x23032))
% 191.26/191.49 [2304]~E(x23041,x23042)+E(f759(x23041,x23043),f759(x23042,x23043))
% 191.26/191.49 [2305]~E(x23051,x23052)+E(f759(x23053,x23051),f759(x23053,x23052))
% 191.26/191.49 [2306]~E(x23061,x23062)+E(f596(x23061,x23063,x23064,x23065,x23066,x23067,x23068,x23069),f596(x23062,x23063,x23064,x23065,x23066,x23067,x23068,x23069))
% 191.26/191.49 [2307]~E(x23071,x23072)+E(f596(x23073,x23071,x23074,x23075,x23076,x23077,x23078,x23079),f596(x23073,x23072,x23074,x23075,x23076,x23077,x23078,x23079))
% 191.26/191.49 [2308]~E(x23081,x23082)+E(f596(x23083,x23084,x23081,x23085,x23086,x23087,x23088,x23089),f596(x23083,x23084,x23082,x23085,x23086,x23087,x23088,x23089))
% 191.26/191.49 [2309]~E(x23091,x23092)+E(f596(x23093,x23094,x23095,x23091,x23096,x23097,x23098,x23099),f596(x23093,x23094,x23095,x23092,x23096,x23097,x23098,x23099))
% 191.26/191.49 [2310]~E(x23101,x23102)+E(f596(x23103,x23104,x23105,x23106,x23101,x23107,x23108,x23109),f596(x23103,x23104,x23105,x23106,x23102,x23107,x23108,x23109))
% 191.26/191.49 [2311]~E(x23111,x23112)+E(f596(x23113,x23114,x23115,x23116,x23117,x23111,x23118,x23119),f596(x23113,x23114,x23115,x23116,x23117,x23112,x23118,x23119))
% 191.26/191.49 [2312]~E(x23121,x23122)+E(f596(x23123,x23124,x23125,x23126,x23127,x23128,x23121,x23129),f596(x23123,x23124,x23125,x23126,x23127,x23128,x23122,x23129))
% 191.26/191.49 [2313]~E(x23131,x23132)+E(f596(x23133,x23134,x23135,x23136,x23137,x23138,x23139,x23131),f596(x23133,x23134,x23135,x23136,x23137,x23138,x23139,x23132))
% 191.26/191.49 [2314]~E(x23141,x23142)+E(f872(x23141,x23143,x23144),f872(x23142,x23143,x23144))
% 191.26/191.49 [2315]~E(x23151,x23152)+E(f872(x23153,x23151,x23154),f872(x23153,x23152,x23154))
% 191.26/191.49 [2316]~E(x23161,x23162)+E(f872(x23163,x23164,x23161),f872(x23163,x23164,x23162))
% 191.26/191.49 [2317]~E(x23171,x23172)+E(f597(x23171,x23173,x23174,x23175,x23176),f597(x23172,x23173,x23174,x23175,x23176))
% 191.26/191.49 [2318]~E(x23181,x23182)+E(f597(x23183,x23181,x23184,x23185,x23186),f597(x23183,x23182,x23184,x23185,x23186))
% 191.26/191.49 [2319]~E(x23191,x23192)+E(f597(x23193,x23194,x23191,x23195,x23196),f597(x23193,x23194,x23192,x23195,x23196))
% 191.26/191.49 [2320]~E(x23201,x23202)+E(f597(x23203,x23204,x23205,x23201,x23206),f597(x23203,x23204,x23205,x23202,x23206))
% 191.26/191.49 [2321]~E(x23211,x23212)+E(f597(x23213,x23214,x23215,x23216,x23211),f597(x23213,x23214,x23215,x23216,x23212))
% 191.26/191.49 [2322]~E(x23221,x23222)+E(f584(x23221,x23223,x23224,x23225,x23226,x23227),f584(x23222,x23223,x23224,x23225,x23226,x23227))
% 191.26/191.49 [2323]~E(x23231,x23232)+E(f584(x23233,x23231,x23234,x23235,x23236,x23237),f584(x23233,x23232,x23234,x23235,x23236,x23237))
% 191.26/191.49 [2324]~E(x23241,x23242)+E(f584(x23243,x23244,x23241,x23245,x23246,x23247),f584(x23243,x23244,x23242,x23245,x23246,x23247))
% 191.26/191.49 [2325]~E(x23251,x23252)+E(f584(x23253,x23254,x23255,x23251,x23256,x23257),f584(x23253,x23254,x23255,x23252,x23256,x23257))
% 191.26/191.49 [2326]~E(x23261,x23262)+E(f584(x23263,x23264,x23265,x23266,x23261,x23267),f584(x23263,x23264,x23265,x23266,x23262,x23267))
% 191.26/191.49 [2327]~E(x23271,x23272)+E(f584(x23273,x23274,x23275,x23276,x23277,x23271),f584(x23273,x23274,x23275,x23276,x23277,x23272))
% 191.26/191.49 [2328]~E(x23281,x23282)+E(f804(x23281),f804(x23282))
% 191.26/191.49 [2329]~E(x23291,x23292)+E(f337(x23291),f337(x23292))
% 191.26/191.49 [2330]~E(x23301,x23302)+E(f383(x23301,x23303,x23304),f383(x23302,x23303,x23304))
% 191.26/191.49 [2331]~E(x23311,x23312)+E(f383(x23313,x23311,x23314),f383(x23313,x23312,x23314))
% 191.26/191.49 [2332]~E(x23321,x23322)+E(f383(x23323,x23324,x23321),f383(x23323,x23324,x23322))
% 191.26/191.49 [2333]~E(x23331,x23332)+E(f587(x23331,x23333,x23334,x23335),f587(x23332,x23333,x23334,x23335))
% 191.26/191.49 [2334]~E(x23341,x23342)+E(f587(x23343,x23341,x23344,x23345),f587(x23343,x23342,x23344,x23345))
% 191.26/191.49 [2335]~E(x23351,x23352)+E(f587(x23353,x23354,x23351,x23355),f587(x23353,x23354,x23352,x23355))
% 191.26/191.49 [2336]~E(x23361,x23362)+E(f587(x23363,x23364,x23365,x23361),f587(x23363,x23364,x23365,x23362))
% 191.26/191.49 [2337]~E(x23371,x23372)+E(f526(x23371,x23373,x23374),f526(x23372,x23373,x23374))
% 191.26/191.49 [2338]~E(x23381,x23382)+E(f526(x23383,x23381,x23384),f526(x23383,x23382,x23384))
% 191.26/191.49 [2339]~E(x23391,x23392)+E(f526(x23393,x23394,x23391),f526(x23393,x23394,x23392))
% 191.26/191.49 [2340]~E(x23401,x23402)+E(f531(x23401,x23403),f531(x23402,x23403))
% 191.26/191.49 [2341]~E(x23411,x23412)+E(f531(x23413,x23411),f531(x23413,x23412))
% 191.26/191.49 [2342]~E(x23421,x23422)+E(f743(x23421,x23423,x23424),f743(x23422,x23423,x23424))
% 191.26/191.49 [2343]~E(x23431,x23432)+E(f743(x23433,x23431,x23434),f743(x23433,x23432,x23434))
% 191.26/191.49 [2344]~E(x23441,x23442)+E(f743(x23443,x23444,x23441),f743(x23443,x23444,x23442))
% 191.26/191.49 [2345]~E(x23451,x23452)+E(f390(x23451,x23453,x23454,x23455,x23456,x23457,x23458,x23459),f390(x23452,x23453,x23454,x23455,x23456,x23457,x23458,x23459))
% 191.26/191.49 [2346]~E(x23461,x23462)+E(f390(x23463,x23461,x23464,x23465,x23466,x23467,x23468,x23469),f390(x23463,x23462,x23464,x23465,x23466,x23467,x23468,x23469))
% 191.26/191.49 [2347]~E(x23471,x23472)+E(f390(x23473,x23474,x23471,x23475,x23476,x23477,x23478,x23479),f390(x23473,x23474,x23472,x23475,x23476,x23477,x23478,x23479))
% 191.26/191.49 [2348]~E(x23481,x23482)+E(f390(x23483,x23484,x23485,x23481,x23486,x23487,x23488,x23489),f390(x23483,x23484,x23485,x23482,x23486,x23487,x23488,x23489))
% 191.26/191.49 [2349]~E(x23491,x23492)+E(f390(x23493,x23494,x23495,x23496,x23491,x23497,x23498,x23499),f390(x23493,x23494,x23495,x23496,x23492,x23497,x23498,x23499))
% 191.26/191.49 [2350]~E(x23501,x23502)+E(f390(x23503,x23504,x23505,x23506,x23507,x23501,x23508,x23509),f390(x23503,x23504,x23505,x23506,x23507,x23502,x23508,x23509))
% 191.26/191.49 [2351]~E(x23511,x23512)+E(f390(x23513,x23514,x23515,x23516,x23517,x23518,x23511,x23519),f390(x23513,x23514,x23515,x23516,x23517,x23518,x23512,x23519))
% 191.26/191.49 [2352]~E(x23521,x23522)+E(f390(x23523,x23524,x23525,x23526,x23527,x23528,x23529,x23521),f390(x23523,x23524,x23525,x23526,x23527,x23528,x23529,x23522))
% 191.26/191.49 [2353]~E(x23531,x23532)+E(f379(x23531,x23533),f379(x23532,x23533))
% 191.26/191.49 [2354]~E(x23541,x23542)+E(f379(x23543,x23541),f379(x23543,x23542))
% 191.26/191.49 [2355]~E(x23551,x23552)+E(f429(x23551,x23553,x23554,x23555),f429(x23552,x23553,x23554,x23555))
% 191.26/191.49 [2356]~E(x23561,x23562)+E(f429(x23563,x23561,x23564,x23565),f429(x23563,x23562,x23564,x23565))
% 191.26/191.49 [2357]~E(x23571,x23572)+E(f429(x23573,x23574,x23571,x23575),f429(x23573,x23574,x23572,x23575))
% 191.26/191.49 [2358]~E(x23581,x23582)+E(f429(x23583,x23584,x23585,x23581),f429(x23583,x23584,x23585,x23582))
% 191.26/191.49 [2359]~E(x23591,x23592)+E(f128(x23591),f128(x23592))
% 191.26/191.49 [2360]~E(x23601,x23602)+E(f788(x23601,x23603,x23604),f788(x23602,x23603,x23604))
% 191.26/191.49 [2361]~E(x23611,x23612)+E(f788(x23613,x23611,x23614),f788(x23613,x23612,x23614))
% 191.26/191.49 [2362]~E(x23621,x23622)+E(f788(x23623,x23624,x23621),f788(x23623,x23624,x23622))
% 191.26/191.49 [2363]~E(x23631,x23632)+E(f749(x23631,x23633,x23634,x23635),f749(x23632,x23633,x23634,x23635))
% 191.26/191.49 [2364]~E(x23641,x23642)+E(f749(x23643,x23641,x23644,x23645),f749(x23643,x23642,x23644,x23645))
% 191.26/191.49 [2365]~E(x23651,x23652)+E(f749(x23653,x23654,x23651,x23655),f749(x23653,x23654,x23652,x23655))
% 191.26/191.49 [2366]~E(x23661,x23662)+E(f749(x23663,x23664,x23665,x23661),f749(x23663,x23664,x23665,x23662))
% 191.26/191.49 [2367]~E(x23671,x23672)+E(f201(x23671,x23673,x23674,x23675),f201(x23672,x23673,x23674,x23675))
% 191.26/191.49 [2368]~E(x23681,x23682)+E(f201(x23683,x23681,x23684,x23685),f201(x23683,x23682,x23684,x23685))
% 191.26/191.49 [2369]~E(x23691,x23692)+E(f201(x23693,x23694,x23691,x23695),f201(x23693,x23694,x23692,x23695))
% 191.26/191.49 [2370]~E(x23701,x23702)+E(f201(x23703,x23704,x23705,x23701),f201(x23703,x23704,x23705,x23702))
% 191.26/191.49 [2371]~E(x23711,x23712)+E(f218(x23711,x23713),f218(x23712,x23713))
% 191.26/191.49 [2372]~E(x23721,x23722)+E(f218(x23723,x23721),f218(x23723,x23722))
% 191.26/191.49 [2373]~E(x23731,x23732)+E(f45(x23731),f45(x23732))
% 191.26/191.49 [2374]~E(x23741,x23742)+E(f835(x23741,x23743),f835(x23742,x23743))
% 191.26/191.49 [2375]~E(x23751,x23752)+E(f835(x23753,x23751),f835(x23753,x23752))
% 191.26/191.49 [2376]~E(x23761,x23762)+E(f465(x23761,x23763,x23764,x23765,x23766),f465(x23762,x23763,x23764,x23765,x23766))
% 191.26/191.49 [2377]~E(x23771,x23772)+E(f465(x23773,x23771,x23774,x23775,x23776),f465(x23773,x23772,x23774,x23775,x23776))
% 191.26/191.49 [2378]~E(x23781,x23782)+E(f465(x23783,x23784,x23781,x23785,x23786),f465(x23783,x23784,x23782,x23785,x23786))
% 191.26/191.49 [2379]~E(x23791,x23792)+E(f465(x23793,x23794,x23795,x23791,x23796),f465(x23793,x23794,x23795,x23792,x23796))
% 191.26/191.49 [2380]~E(x23801,x23802)+E(f465(x23803,x23804,x23805,x23806,x23801),f465(x23803,x23804,x23805,x23806,x23802))
% 191.26/191.49 [2381]~E(x23811,x23812)+E(f796(x23811,x23813,x23814,x23815),f796(x23812,x23813,x23814,x23815))
% 191.26/191.49 [2382]~E(x23821,x23822)+E(f796(x23823,x23821,x23824,x23825),f796(x23823,x23822,x23824,x23825))
% 191.26/191.49 [2383]~E(x23831,x23832)+E(f796(x23833,x23834,x23831,x23835),f796(x23833,x23834,x23832,x23835))
% 191.26/191.49 [2384]~E(x23841,x23842)+E(f796(x23843,x23844,x23845,x23841),f796(x23843,x23844,x23845,x23842))
% 191.26/191.49 [2385]~E(x23851,x23852)+E(f826(x23851),f826(x23852))
% 191.26/191.49 [2386]~E(x23861,x23862)+E(f274(x23861,x23863),f274(x23862,x23863))
% 191.26/191.49 [2387]~E(x23871,x23872)+E(f274(x23873,x23871),f274(x23873,x23872))
% 191.26/191.49 [2388]~E(x23881,x23882)+E(f571(x23881,x23883,x23884),f571(x23882,x23883,x23884))
% 191.26/191.49 [2389]~E(x23891,x23892)+E(f571(x23893,x23891,x23894),f571(x23893,x23892,x23894))
% 191.26/191.49 [2390]~E(x23901,x23902)+E(f571(x23903,x23904,x23901),f571(x23903,x23904,x23902))
% 191.26/191.49 [2391]~E(x23911,x23912)+E(f894(x23911,x23913,x23914,x23915),f894(x23912,x23913,x23914,x23915))
% 191.26/191.49 [2392]~E(x23921,x23922)+E(f894(x23923,x23921,x23924,x23925),f894(x23923,x23922,x23924,x23925))
% 191.26/191.49 [2393]~E(x23931,x23932)+E(f894(x23933,x23934,x23931,x23935),f894(x23933,x23934,x23932,x23935))
% 191.26/191.49 [2394]~E(x23941,x23942)+E(f894(x23943,x23944,x23945,x23941),f894(x23943,x23944,x23945,x23942))
% 191.26/191.49 [2395]~E(x23951,x23952)+E(f713(x23951,x23953,x23954,x23955,x23956),f713(x23952,x23953,x23954,x23955,x23956))
% 191.26/191.49 [2396]~E(x23961,x23962)+E(f713(x23963,x23961,x23964,x23965,x23966),f713(x23963,x23962,x23964,x23965,x23966))
% 191.26/191.49 [2397]~E(x23971,x23972)+E(f713(x23973,x23974,x23971,x23975,x23976),f713(x23973,x23974,x23972,x23975,x23976))
% 191.26/191.49 [2398]~E(x23981,x23982)+E(f713(x23983,x23984,x23985,x23981,x23986),f713(x23983,x23984,x23985,x23982,x23986))
% 191.26/191.49 [2399]~E(x23991,x23992)+E(f713(x23993,x23994,x23995,x23996,x23991),f713(x23993,x23994,x23995,x23996,x23992))
% 191.26/191.49 [2400]~E(x24001,x24002)+E(f610(x24001,x24003),f610(x24002,x24003))
% 191.26/191.49 [2401]~E(x24011,x24012)+E(f610(x24013,x24011),f610(x24013,x24012))
% 191.26/191.49 [2402]~E(x24021,x24022)+E(f733(x24021,x24023),f733(x24022,x24023))
% 191.26/191.49 [2403]~E(x24031,x24032)+E(f733(x24033,x24031),f733(x24033,x24032))
% 191.26/191.49 [2404]~E(x24041,x24042)+E(f265(x24041,x24043,x24044,x24045,x24046),f265(x24042,x24043,x24044,x24045,x24046))
% 191.26/191.49 [2405]~E(x24051,x24052)+E(f265(x24053,x24051,x24054,x24055,x24056),f265(x24053,x24052,x24054,x24055,x24056))
% 191.26/191.49 [2406]~E(x24061,x24062)+E(f265(x24063,x24064,x24061,x24065,x24066),f265(x24063,x24064,x24062,x24065,x24066))
% 191.26/191.49 [2407]~E(x24071,x24072)+E(f265(x24073,x24074,x24075,x24071,x24076),f265(x24073,x24074,x24075,x24072,x24076))
% 191.26/191.49 [2408]~E(x24081,x24082)+E(f265(x24083,x24084,x24085,x24086,x24081),f265(x24083,x24084,x24085,x24086,x24082))
% 191.26/191.49 [2409]~E(x24091,x24092)+E(f702(x24091,x24093,x24094,x24095),f702(x24092,x24093,x24094,x24095))
% 191.26/191.49 [2410]~E(x24101,x24102)+E(f702(x24103,x24101,x24104,x24105),f702(x24103,x24102,x24104,x24105))
% 191.26/191.49 [2411]~E(x24111,x24112)+E(f702(x24113,x24114,x24111,x24115),f702(x24113,x24114,x24112,x24115))
% 191.26/191.49 [2412]~E(x24121,x24122)+E(f702(x24123,x24124,x24125,x24121),f702(x24123,x24124,x24125,x24122))
% 191.26/191.49 [2413]~E(x24131,x24132)+E(f837(x24131,x24133),f837(x24132,x24133))
% 191.26/191.49 [2414]~E(x24141,x24142)+E(f837(x24143,x24141),f837(x24143,x24142))
% 191.26/191.49 [2415]~E(x24151,x24152)+E(f793(x24151,x24153,x24154),f793(x24152,x24153,x24154))
% 191.26/191.49 [2416]~E(x24161,x24162)+E(f793(x24163,x24161,x24164),f793(x24163,x24162,x24164))
% 191.26/191.49 [2417]~E(x24171,x24172)+E(f793(x24173,x24174,x24171),f793(x24173,x24174,x24172))
% 191.26/191.49 [2418]~E(x24181,x24182)+E(f423(x24181,x24183,x24184,x24185),f423(x24182,x24183,x24184,x24185))
% 191.26/191.49 [2419]~E(x24191,x24192)+E(f423(x24193,x24191,x24194,x24195),f423(x24193,x24192,x24194,x24195))
% 191.26/191.49 [2420]~E(x24201,x24202)+E(f423(x24203,x24204,x24201,x24205),f423(x24203,x24204,x24202,x24205))
% 191.26/191.49 [2421]~E(x24211,x24212)+E(f423(x24213,x24214,x24215,x24211),f423(x24213,x24214,x24215,x24212))
% 191.26/191.49 [2422]~E(x24221,x24222)+E(f348(x24221),f348(x24222))
% 191.26/191.49 [2423]~E(x24231,x24232)+E(f836(x24231,x24233,x24234),f836(x24232,x24233,x24234))
% 191.26/191.49 [2424]~E(x24241,x24242)+E(f836(x24243,x24241,x24244),f836(x24243,x24242,x24244))
% 191.26/191.49 [2425]~E(x24251,x24252)+E(f836(x24253,x24254,x24251),f836(x24253,x24254,x24252))
% 191.26/191.49 [2426]~E(x24261,x24262)+E(f712(x24261,x24263,x24264,x24265),f712(x24262,x24263,x24264,x24265))
% 191.26/191.49 [2427]~E(x24271,x24272)+E(f712(x24273,x24271,x24274,x24275),f712(x24273,x24272,x24274,x24275))
% 191.26/191.49 [2428]~E(x24281,x24282)+E(f712(x24283,x24284,x24281,x24285),f712(x24283,x24284,x24282,x24285))
% 191.26/191.49 [2429]~E(x24291,x24292)+E(f712(x24293,x24294,x24295,x24291),f712(x24293,x24294,x24295,x24292))
% 191.26/191.49 [2430]~E(x24301,x24302)+E(f447(x24301,x24303,x24304,x24305),f447(x24302,x24303,x24304,x24305))
% 191.26/191.49 [2431]~E(x24311,x24312)+E(f447(x24313,x24311,x24314,x24315),f447(x24313,x24312,x24314,x24315))
% 191.26/191.49 [2432]~E(x24321,x24322)+E(f447(x24323,x24324,x24321,x24325),f447(x24323,x24324,x24322,x24325))
% 191.26/191.49 [2433]~E(x24331,x24332)+E(f447(x24333,x24334,x24335,x24331),f447(x24333,x24334,x24335,x24332))
% 191.26/191.49 [2434]~E(x24341,x24342)+E(f518(x24341,x24343,x24344,x24345,x24346),f518(x24342,x24343,x24344,x24345,x24346))
% 191.26/191.49 [2435]~E(x24351,x24352)+E(f518(x24353,x24351,x24354,x24355,x24356),f518(x24353,x24352,x24354,x24355,x24356))
% 191.26/191.49 [2436]~E(x24361,x24362)+E(f518(x24363,x24364,x24361,x24365,x24366),f518(x24363,x24364,x24362,x24365,x24366))
% 191.26/191.49 [2437]~E(x24371,x24372)+E(f518(x24373,x24374,x24375,x24371,x24376),f518(x24373,x24374,x24375,x24372,x24376))
% 191.26/191.49 [2438]~E(x24381,x24382)+E(f518(x24383,x24384,x24385,x24386,x24381),f518(x24383,x24384,x24385,x24386,x24382))
% 191.26/191.49 [2439]~E(x24391,x24392)+E(f605(x24391,x24393,x24394,x24395,x24396),f605(x24392,x24393,x24394,x24395,x24396))
% 191.26/191.49 [2440]~E(x24401,x24402)+E(f605(x24403,x24401,x24404,x24405,x24406),f605(x24403,x24402,x24404,x24405,x24406))
% 191.26/191.49 [2441]~E(x24411,x24412)+E(f605(x24413,x24414,x24411,x24415,x24416),f605(x24413,x24414,x24412,x24415,x24416))
% 191.26/191.49 [2442]~E(x24421,x24422)+E(f605(x24423,x24424,x24425,x24421,x24426),f605(x24423,x24424,x24425,x24422,x24426))
% 191.26/191.49 [2443]~E(x24431,x24432)+E(f605(x24433,x24434,x24435,x24436,x24431),f605(x24433,x24434,x24435,x24436,x24432))
% 191.26/191.49 [2444]~E(x24441,x24442)+E(f555(x24441,x24443,x24444,x24445),f555(x24442,x24443,x24444,x24445))
% 191.26/191.49 [2445]~E(x24451,x24452)+E(f555(x24453,x24451,x24454,x24455),f555(x24453,x24452,x24454,x24455))
% 191.26/191.49 [2446]~E(x24461,x24462)+E(f555(x24463,x24464,x24461,x24465),f555(x24463,x24464,x24462,x24465))
% 191.26/191.49 [2447]~E(x24471,x24472)+E(f555(x24473,x24474,x24475,x24471),f555(x24473,x24474,x24475,x24472))
% 191.26/191.49 [2448]~E(x24481,x24482)+E(f897(x24481,x24483,x24484,x24485,x24486),f897(x24482,x24483,x24484,x24485,x24486))
% 191.26/191.49 [2449]~E(x24491,x24492)+E(f897(x24493,x24491,x24494,x24495,x24496),f897(x24493,x24492,x24494,x24495,x24496))
% 191.26/191.49 [2450]~E(x24501,x24502)+E(f897(x24503,x24504,x24501,x24505,x24506),f897(x24503,x24504,x24502,x24505,x24506))
% 191.26/191.49 [2451]~E(x24511,x24512)+E(f897(x24513,x24514,x24515,x24511,x24516),f897(x24513,x24514,x24515,x24512,x24516))
% 191.26/191.49 [2452]~E(x24521,x24522)+E(f897(x24523,x24524,x24525,x24526,x24521),f897(x24523,x24524,x24525,x24526,x24522))
% 191.26/191.49 [2453]~E(x24531,x24532)+E(f516(x24531,x24533,x24534,x24535,x24536,x24537),f516(x24532,x24533,x24534,x24535,x24536,x24537))
% 191.26/191.49 [2454]~E(x24541,x24542)+E(f516(x24543,x24541,x24544,x24545,x24546,x24547),f516(x24543,x24542,x24544,x24545,x24546,x24547))
% 191.26/191.49 [2455]~E(x24551,x24552)+E(f516(x24553,x24554,x24551,x24555,x24556,x24557),f516(x24553,x24554,x24552,x24555,x24556,x24557))
% 191.26/191.49 [2456]~E(x24561,x24562)+E(f516(x24563,x24564,x24565,x24561,x24566,x24567),f516(x24563,x24564,x24565,x24562,x24566,x24567))
% 191.26/191.49 [2457]~E(x24571,x24572)+E(f516(x24573,x24574,x24575,x24576,x24571,x24577),f516(x24573,x24574,x24575,x24576,x24572,x24577))
% 191.26/191.49 [2458]~E(x24581,x24582)+E(f516(x24583,x24584,x24585,x24586,x24587,x24581),f516(x24583,x24584,x24585,x24586,x24587,x24582))
% 191.26/191.49 [2459]~E(x24591,x24592)+E(f710(x24591,x24593,x24594,x24595),f710(x24592,x24593,x24594,x24595))
% 191.26/191.49 [2460]~E(x24601,x24602)+E(f710(x24603,x24601,x24604,x24605),f710(x24603,x24602,x24604,x24605))
% 191.26/191.49 [2461]~E(x24611,x24612)+E(f710(x24613,x24614,x24611,x24615),f710(x24613,x24614,x24612,x24615))
% 191.26/191.49 [2462]~E(x24621,x24622)+E(f710(x24623,x24624,x24625,x24621),f710(x24623,x24624,x24625,x24622))
% 191.26/191.49 [2463]~E(x24631,x24632)+E(f614(x24631,x24633,x24634,x24635),f614(x24632,x24633,x24634,x24635))
% 191.26/191.49 [2464]~E(x24641,x24642)+E(f614(x24643,x24641,x24644,x24645),f614(x24643,x24642,x24644,x24645))
% 191.26/191.49 [2465]~E(x24651,x24652)+E(f614(x24653,x24654,x24651,x24655),f614(x24653,x24654,x24652,x24655))
% 191.26/191.49 [2466]~E(x24661,x24662)+E(f614(x24663,x24664,x24665,x24661),f614(x24663,x24664,x24665,x24662))
% 191.26/191.49 [2467]~E(x24671,x24672)+E(f780(x24671,x24673,x24674),f780(x24672,x24673,x24674))
% 191.26/191.49 [2468]~E(x24681,x24682)+E(f780(x24683,x24681,x24684),f780(x24683,x24682,x24684))
% 191.26/191.49 [2469]~E(x24691,x24692)+E(f780(x24693,x24694,x24691),f780(x24693,x24694,x24692))
% 191.26/191.49 [2470]~E(x24701,x24702)+E(f736(x24701,x24703,x24704,x24705,x24706),f736(x24702,x24703,x24704,x24705,x24706))
% 191.26/191.49 [2471]~E(x24711,x24712)+E(f736(x24713,x24711,x24714,x24715,x24716),f736(x24713,x24712,x24714,x24715,x24716))
% 191.26/191.49 [2472]~E(x24721,x24722)+E(f736(x24723,x24724,x24721,x24725,x24726),f736(x24723,x24724,x24722,x24725,x24726))
% 191.26/191.49 [2473]~E(x24731,x24732)+E(f736(x24733,x24734,x24735,x24731,x24736),f736(x24733,x24734,x24735,x24732,x24736))
% 191.26/191.49 [2474]~E(x24741,x24742)+E(f736(x24743,x24744,x24745,x24746,x24741),f736(x24743,x24744,x24745,x24746,x24742))
% 191.26/191.49 [2475]~E(x24751,x24752)+E(f864(x24751,x24753),f864(x24752,x24753))
% 191.26/191.49 [2476]~E(x24761,x24762)+E(f864(x24763,x24761),f864(x24763,x24762))
% 191.26/191.49 [2477]~E(x24771,x24772)+E(f42(x24771),f42(x24772))
% 191.26/191.49 [2478]~E(x24781,x24782)+E(f574(x24781,x24783,x24784),f574(x24782,x24783,x24784))
% 191.26/191.49 [2479]~E(x24791,x24792)+E(f574(x24793,x24791,x24794),f574(x24793,x24792,x24794))
% 191.26/191.49 [2480]~E(x24801,x24802)+E(f574(x24803,x24804,x24801),f574(x24803,x24804,x24802))
% 191.26/191.49 [2481]~E(x24811,x24812)+E(f529(x24811,x24813,x24814),f529(x24812,x24813,x24814))
% 191.26/191.49 [2482]~E(x24821,x24822)+E(f529(x24823,x24821,x24824),f529(x24823,x24822,x24824))
% 191.26/191.49 [2483]~E(x24831,x24832)+E(f529(x24833,x24834,x24831),f529(x24833,x24834,x24832))
% 191.26/191.49 [2484]~E(x24841,x24842)+E(f436(x24841,x24843,x24844,x24845),f436(x24842,x24843,x24844,x24845))
% 191.26/191.49 [2485]~E(x24851,x24852)+E(f436(x24853,x24851,x24854,x24855),f436(x24853,x24852,x24854,x24855))
% 191.26/191.49 [2486]~E(x24861,x24862)+E(f436(x24863,x24864,x24861,x24865),f436(x24863,x24864,x24862,x24865))
% 191.26/191.49 [2487]~E(x24871,x24872)+E(f436(x24873,x24874,x24875,x24871),f436(x24873,x24874,x24875,x24872))
% 191.26/191.49 [2488]~E(x24881,x24882)+E(f715(x24881,x24883,x24884),f715(x24882,x24883,x24884))
% 191.26/191.49 [2489]~E(x24891,x24892)+E(f715(x24893,x24891,x24894),f715(x24893,x24892,x24894))
% 191.26/191.49 [2490]~E(x24901,x24902)+E(f715(x24903,x24904,x24901),f715(x24903,x24904,x24902))
% 191.26/191.49 [2491]~E(x24911,x24912)+E(f878(x24911,x24913,x24914,x24915),f878(x24912,x24913,x24914,x24915))
% 191.26/191.49 [2492]~E(x24921,x24922)+E(f878(x24923,x24921,x24924,x24925),f878(x24923,x24922,x24924,x24925))
% 191.26/191.49 [2493]~E(x24931,x24932)+E(f878(x24933,x24934,x24931,x24935),f878(x24933,x24934,x24932,x24935))
% 191.26/191.49 [2494]~E(x24941,x24942)+E(f878(x24943,x24944,x24945,x24941),f878(x24943,x24944,x24945,x24942))
% 191.26/191.49 [2495]~E(x24951,x24952)+E(f670(x24951,x24953,x24954,x24955),f670(x24952,x24953,x24954,x24955))
% 191.26/191.49 [2496]~E(x24961,x24962)+E(f670(x24963,x24961,x24964,x24965),f670(x24963,x24962,x24964,x24965))
% 191.26/191.49 [2497]~E(x24971,x24972)+E(f670(x24973,x24974,x24971,x24975),f670(x24973,x24974,x24972,x24975))
% 191.26/191.49 [2498]~E(x24981,x24982)+E(f670(x24983,x24984,x24985,x24981),f670(x24983,x24984,x24985,x24982))
% 191.26/191.49 [2499]~E(x24991,x24992)+E(f560(x24991,x24993,x24994,x24995),f560(x24992,x24993,x24994,x24995))
% 191.26/191.49 [2500]~E(x25001,x25002)+E(f560(x25003,x25001,x25004,x25005),f560(x25003,x25002,x25004,x25005))
% 191.26/191.49 [2501]~E(x25011,x25012)+E(f560(x25013,x25014,x25011,x25015),f560(x25013,x25014,x25012,x25015))
% 191.26/191.49 [2502]~E(x25021,x25022)+E(f560(x25023,x25024,x25025,x25021),f560(x25023,x25024,x25025,x25022))
% 191.26/191.49 [2503]~E(x25031,x25032)+E(f353(x25031),f353(x25032))
% 191.26/191.49 [2504]~E(x25041,x25042)+E(f340(x25041,x25043),f340(x25042,x25043))
% 191.26/191.49 [2505]~E(x25051,x25052)+E(f340(x25053,x25051),f340(x25053,x25052))
% 191.26/191.49 [2506]~E(x25061,x25062)+E(f528(x25061),f528(x25062))
% 191.26/191.49 [2507]~E(x25071,x25072)+E(f527(x25071,x25073,x25074),f527(x25072,x25073,x25074))
% 191.26/191.49 [2508]~E(x25081,x25082)+E(f527(x25083,x25081,x25084),f527(x25083,x25082,x25084))
% 191.26/191.49 [2509]~E(x25091,x25092)+E(f527(x25093,x25094,x25091),f527(x25093,x25094,x25092))
% 191.26/191.49 [2510]~E(x25101,x25102)+E(f655(x25101,x25103,x25104,x25105,x25106,x25107,x25108),f655(x25102,x25103,x25104,x25105,x25106,x25107,x25108))
% 191.26/191.49 [2511]~E(x25111,x25112)+E(f655(x25113,x25111,x25114,x25115,x25116,x25117,x25118),f655(x25113,x25112,x25114,x25115,x25116,x25117,x25118))
% 191.26/191.49 [2512]~E(x25121,x25122)+E(f655(x25123,x25124,x25121,x25125,x25126,x25127,x25128),f655(x25123,x25124,x25122,x25125,x25126,x25127,x25128))
% 191.26/191.49 [2513]~E(x25131,x25132)+E(f655(x25133,x25134,x25135,x25131,x25136,x25137,x25138),f655(x25133,x25134,x25135,x25132,x25136,x25137,x25138))
% 191.26/191.49 [2514]~E(x25141,x25142)+E(f655(x25143,x25144,x25145,x25146,x25141,x25147,x25148),f655(x25143,x25144,x25145,x25146,x25142,x25147,x25148))
% 191.26/191.49 [2515]~E(x25151,x25152)+E(f655(x25153,x25154,x25155,x25156,x25157,x25151,x25158),f655(x25153,x25154,x25155,x25156,x25157,x25152,x25158))
% 191.26/191.49 [2516]~E(x25161,x25162)+E(f655(x25163,x25164,x25165,x25166,x25167,x25168,x25161),f655(x25163,x25164,x25165,x25166,x25167,x25168,x25162))
% 191.26/191.49 [2517]~E(x25171,x25172)+E(f228(x25171,x25173,x25174,x25175,x25176),f228(x25172,x25173,x25174,x25175,x25176))
% 191.26/191.49 [2518]~E(x25181,x25182)+E(f228(x25183,x25181,x25184,x25185,x25186),f228(x25183,x25182,x25184,x25185,x25186))
% 191.26/191.49 [2519]~E(x25191,x25192)+E(f228(x25193,x25194,x25191,x25195,x25196),f228(x25193,x25194,x25192,x25195,x25196))
% 191.26/191.49 [2520]~E(x25201,x25202)+E(f228(x25203,x25204,x25205,x25201,x25206),f228(x25203,x25204,x25205,x25202,x25206))
% 191.26/191.49 [2521]~E(x25211,x25212)+E(f228(x25213,x25214,x25215,x25216,x25211),f228(x25213,x25214,x25215,x25216,x25212))
% 191.26/191.49 [2522]~E(x25221,x25222)+E(f122(x25221,x25223,x25224),f122(x25222,x25223,x25224))
% 191.26/191.49 [2523]~E(x25231,x25232)+E(f122(x25233,x25231,x25234),f122(x25233,x25232,x25234))
% 191.26/191.49 [2524]~E(x25241,x25242)+E(f122(x25243,x25244,x25241),f122(x25243,x25244,x25242))
% 191.26/191.49 [2525]~E(x25251,x25252)+E(f774(x25251,x25253),f774(x25252,x25253))
% 191.26/191.49 [2526]~E(x25261,x25262)+E(f774(x25263,x25261),f774(x25263,x25262))
% 191.26/191.49 [2527]~E(x25271,x25272)+E(f525(x25271,x25273,x25274),f525(x25272,x25273,x25274))
% 191.26/191.49 [2528]~E(x25281,x25282)+E(f525(x25283,x25281,x25284),f525(x25283,x25282,x25284))
% 191.26/191.49 [2529]~E(x25291,x25292)+E(f525(x25293,x25294,x25291),f525(x25293,x25294,x25292))
% 191.26/191.49 [2530]~E(x25301,x25302)+E(f693(x25301,x25303,x25304,x25305),f693(x25302,x25303,x25304,x25305))
% 191.26/191.49 [2531]~E(x25311,x25312)+E(f693(x25313,x25311,x25314,x25315),f693(x25313,x25312,x25314,x25315))
% 191.26/191.49 [2532]~E(x25321,x25322)+E(f693(x25323,x25324,x25321,x25325),f693(x25323,x25324,x25322,x25325))
% 191.26/191.49 [2533]~E(x25331,x25332)+E(f693(x25333,x25334,x25335,x25331),f693(x25333,x25334,x25335,x25332))
% 191.26/191.49 [2534]~E(x25341,x25342)+E(f207(x25341,x25343,x25344),f207(x25342,x25343,x25344))
% 191.26/191.49 [2535]~E(x25351,x25352)+E(f207(x25353,x25351,x25354),f207(x25353,x25352,x25354))
% 191.26/191.49 [2536]~E(x25361,x25362)+E(f207(x25363,x25364,x25361),f207(x25363,x25364,x25362))
% 191.26/191.49 [2537]~E(x25371,x25372)+E(f356(x25371,x25373,x25374),f356(x25372,x25373,x25374))
% 191.26/191.49 [2538]~E(x25381,x25382)+E(f356(x25383,x25381,x25384),f356(x25383,x25382,x25384))
% 191.26/191.49 [2539]~E(x25391,x25392)+E(f356(x25393,x25394,x25391),f356(x25393,x25394,x25392))
% 191.26/191.49 [2540]~E(x25401,x25402)+E(f375(x25401,x25403,x25404),f375(x25402,x25403,x25404))
% 191.26/191.49 [2541]~E(x25411,x25412)+E(f375(x25413,x25411,x25414),f375(x25413,x25412,x25414))
% 191.26/191.49 [2542]~E(x25421,x25422)+E(f375(x25423,x25424,x25421),f375(x25423,x25424,x25422))
% 191.26/191.49 [2543]~E(x25431,x25432)+E(f752(x25431,x25433),f752(x25432,x25433))
% 191.26/191.49 [2544]~E(x25441,x25442)+E(f752(x25443,x25441),f752(x25443,x25442))
% 191.26/191.49 [2545]~E(x25451,x25452)+E(f396(x25451,x25453),f396(x25452,x25453))
% 191.26/191.49 [2546]~E(x25461,x25462)+E(f396(x25463,x25461),f396(x25463,x25462))
% 191.26/191.49 [2547]~E(x25471,x25472)+E(f564(x25471),f564(x25472))
% 191.26/191.49 [2548]~E(x25481,x25482)+E(f860(x25481,x25483),f860(x25482,x25483))
% 191.26/191.49 [2549]~E(x25491,x25492)+E(f860(x25493,x25491),f860(x25493,x25492))
% 191.26/191.49 [2550]~E(x25501,x25502)+E(f791(x25501,x25503,x25504),f791(x25502,x25503,x25504))
% 191.26/191.49 [2551]~E(x25511,x25512)+E(f791(x25513,x25511,x25514),f791(x25513,x25512,x25514))
% 191.26/191.49 [2552]~E(x25521,x25522)+E(f791(x25523,x25524,x25521),f791(x25523,x25524,x25522))
% 191.26/191.49 [2553]~E(x25531,x25532)+E(f834(x25531),f834(x25532))
% 191.26/191.49 [2554]~E(x25541,x25542)+E(f204(x25541),f204(x25542))
% 191.26/191.49 [2555]~E(x25551,x25552)+E(f883(x25551,x25553),f883(x25552,x25553))
% 191.26/191.49 [2556]~E(x25561,x25562)+E(f883(x25563,x25561),f883(x25563,x25562))
% 191.26/191.49 [2557]~E(x25571,x25572)+E(f661(x25571,x25573,x25574),f661(x25572,x25573,x25574))
% 191.26/191.50 [2558]~E(x25581,x25582)+E(f661(x25583,x25581,x25584),f661(x25583,x25582,x25584))
% 191.26/191.50 [2559]~E(x25591,x25592)+E(f661(x25593,x25594,x25591),f661(x25593,x25594,x25592))
% 191.26/191.50 [2560]~E(x25601,x25602)+E(f334(x25601),f334(x25602))
% 191.26/191.50 [2561]~E(x25611,x25612)+E(f199(x25611,x25613,x25614,x25615),f199(x25612,x25613,x25614,x25615))
% 191.26/191.50 [2562]~E(x25621,x25622)+E(f199(x25623,x25621,x25624,x25625),f199(x25623,x25622,x25624,x25625))
% 191.26/191.50 [2563]~E(x25631,x25632)+E(f199(x25633,x25634,x25631,x25635),f199(x25633,x25634,x25632,x25635))
% 191.26/191.50 [2564]~E(x25641,x25642)+E(f199(x25643,x25644,x25645,x25641),f199(x25643,x25644,x25645,x25642))
% 191.26/191.50 [2565]~E(x25651,x25652)+E(f398(x25651,x25653),f398(x25652,x25653))
% 191.26/191.50 [2566]~E(x25661,x25662)+E(f398(x25663,x25661),f398(x25663,x25662))
% 191.26/191.50 [2567]~E(x25671,x25672)+E(f770(x25671,x25673,x25674,x25675,x25676),f770(x25672,x25673,x25674,x25675,x25676))
% 191.26/191.50 [2568]~E(x25681,x25682)+E(f770(x25683,x25681,x25684,x25685,x25686),f770(x25683,x25682,x25684,x25685,x25686))
% 191.26/191.50 [2569]~E(x25691,x25692)+E(f770(x25693,x25694,x25691,x25695,x25696),f770(x25693,x25694,x25692,x25695,x25696))
% 191.26/191.50 [2570]~E(x25701,x25702)+E(f770(x25703,x25704,x25705,x25701,x25706),f770(x25703,x25704,x25705,x25702,x25706))
% 191.26/191.50 [2571]~E(x25711,x25712)+E(f770(x25713,x25714,x25715,x25716,x25711),f770(x25713,x25714,x25715,x25716,x25712))
% 191.26/191.50 [2572]~E(x25721,x25722)+E(f346(x25721),f346(x25722))
% 191.26/191.50 [2573]~E(x25731,x25732)+E(f740(x25731,x25733,x25734),f740(x25732,x25733,x25734))
% 191.26/191.50 [2574]~E(x25741,x25742)+E(f740(x25743,x25741,x25744),f740(x25743,x25742,x25744))
% 191.26/191.50 [2575]~E(x25751,x25752)+E(f740(x25753,x25754,x25751),f740(x25753,x25754,x25752))
% 191.26/191.50 [2576]~E(x25761,x25762)+E(f380(x25761,x25763,x25764),f380(x25762,x25763,x25764))
% 191.26/191.50 [2577]~E(x25771,x25772)+E(f380(x25773,x25771,x25774),f380(x25773,x25772,x25774))
% 191.26/191.50 [2578]~E(x25781,x25782)+E(f380(x25783,x25784,x25781),f380(x25783,x25784,x25782))
% 191.26/191.50 [2579]~E(x25791,x25792)+E(f727(x25791,x25793,x25794,x25795,x25796),f727(x25792,x25793,x25794,x25795,x25796))
% 191.26/191.50 [2580]~E(x25801,x25802)+E(f727(x25803,x25801,x25804,x25805,x25806),f727(x25803,x25802,x25804,x25805,x25806))
% 191.26/191.50 [2581]~E(x25811,x25812)+E(f727(x25813,x25814,x25811,x25815,x25816),f727(x25813,x25814,x25812,x25815,x25816))
% 191.26/191.50 [2582]~E(x25821,x25822)+E(f727(x25823,x25824,x25825,x25821,x25826),f727(x25823,x25824,x25825,x25822,x25826))
% 191.26/191.50 [2583]~E(x25831,x25832)+E(f727(x25833,x25834,x25835,x25836,x25831),f727(x25833,x25834,x25835,x25836,x25832))
% 191.26/191.50 [2584]~E(x25841,x25842)+E(f787(x25841,x25843,x25844),f787(x25842,x25843,x25844))
% 191.26/191.50 [2585]~E(x25851,x25852)+E(f787(x25853,x25851,x25854),f787(x25853,x25852,x25854))
% 191.26/191.50 [2586]~E(x25861,x25862)+E(f787(x25863,x25864,x25861),f787(x25863,x25864,x25862))
% 191.26/191.50 [2587]~E(x25871,x25872)+E(f280(x25871,x25873,x25874,x25875),f280(x25872,x25873,x25874,x25875))
% 191.26/191.50 [2588]~E(x25881,x25882)+E(f280(x25883,x25881,x25884,x25885),f280(x25883,x25882,x25884,x25885))
% 191.26/191.50 [2589]~E(x25891,x25892)+E(f280(x25893,x25894,x25891,x25895),f280(x25893,x25894,x25892,x25895))
% 191.26/191.50 [2590]~E(x25901,x25902)+E(f280(x25903,x25904,x25905,x25901),f280(x25903,x25904,x25905,x25902))
% 191.26/191.50 [2591]~E(x25911,x25912)+E(f408(x25911,x25913,x25914,x25915),f408(x25912,x25913,x25914,x25915))
% 191.26/191.50 [2592]~E(x25921,x25922)+E(f408(x25923,x25921,x25924,x25925),f408(x25923,x25922,x25924,x25925))
% 191.26/191.50 [2593]~E(x25931,x25932)+E(f408(x25933,x25934,x25931,x25935),f408(x25933,x25934,x25932,x25935))
% 191.26/191.50 [2594]~E(x25941,x25942)+E(f408(x25943,x25944,x25945,x25941),f408(x25943,x25944,x25945,x25942))
% 191.26/191.50 [2595]~E(x25951,x25952)+E(f358(x25951,x25953,x25954),f358(x25952,x25953,x25954))
% 191.26/191.50 [2596]~E(x25961,x25962)+E(f358(x25963,x25961,x25964),f358(x25963,x25962,x25964))
% 191.26/191.50 [2597]~E(x25971,x25972)+E(f358(x25973,x25974,x25971),f358(x25973,x25974,x25972))
% 191.26/191.50 [2598]~E(x25981,x25982)+E(f215(x25981,x25983,x25984,x25985,x25986,x25987,x25988),f215(x25982,x25983,x25984,x25985,x25986,x25987,x25988))
% 191.26/191.50 [2599]~E(x25991,x25992)+E(f215(x25993,x25991,x25994,x25995,x25996,x25997,x25998),f215(x25993,x25992,x25994,x25995,x25996,x25997,x25998))
% 191.26/191.50 [2600]~E(x26001,x26002)+E(f215(x26003,x26004,x26001,x26005,x26006,x26007,x26008),f215(x26003,x26004,x26002,x26005,x26006,x26007,x26008))
% 191.26/191.50 [2601]~E(x26011,x26012)+E(f215(x26013,x26014,x26015,x26011,x26016,x26017,x26018),f215(x26013,x26014,x26015,x26012,x26016,x26017,x26018))
% 191.26/191.50 [2602]~E(x26021,x26022)+E(f215(x26023,x26024,x26025,x26026,x26021,x26027,x26028),f215(x26023,x26024,x26025,x26026,x26022,x26027,x26028))
% 191.26/191.50 [2603]~E(x26031,x26032)+E(f215(x26033,x26034,x26035,x26036,x26037,x26031,x26038),f215(x26033,x26034,x26035,x26036,x26037,x26032,x26038))
% 191.26/191.50 [2604]~E(x26041,x26042)+E(f215(x26043,x26044,x26045,x26046,x26047,x26048,x26041),f215(x26043,x26044,x26045,x26046,x26047,x26048,x26042))
% 191.26/191.50 [2605]~E(x26051,x26052)+E(f214(x26051,x26053,x26054,x26055),f214(x26052,x26053,x26054,x26055))
% 191.26/191.50 [2606]~E(x26061,x26062)+E(f214(x26063,x26061,x26064,x26065),f214(x26063,x26062,x26064,x26065))
% 191.26/191.50 [2607]~E(x26071,x26072)+E(f214(x26073,x26074,x26071,x26075),f214(x26073,x26074,x26072,x26075))
% 191.26/191.50 [2608]~E(x26081,x26082)+E(f214(x26083,x26084,x26085,x26081),f214(x26083,x26084,x26085,x26082))
% 191.26/191.50 [2609]~E(x26091,x26092)+E(f503(x26091,x26093,x26094,x26095,x26096),f503(x26092,x26093,x26094,x26095,x26096))
% 191.26/191.50 [2610]~E(x26101,x26102)+E(f503(x26103,x26101,x26104,x26105,x26106),f503(x26103,x26102,x26104,x26105,x26106))
% 191.26/191.50 [2611]~E(x26111,x26112)+E(f503(x26113,x26114,x26111,x26115,x26116),f503(x26113,x26114,x26112,x26115,x26116))
% 191.26/191.50 [2612]~E(x26121,x26122)+E(f503(x26123,x26124,x26125,x26121,x26126),f503(x26123,x26124,x26125,x26122,x26126))
% 191.26/191.50 [2613]~E(x26131,x26132)+E(f503(x26133,x26134,x26135,x26136,x26131),f503(x26133,x26134,x26135,x26136,x26132))
% 191.26/191.50 [2614]~E(x26141,x26142)+E(f425(x26141),f425(x26142))
% 191.26/191.50 [2615]~E(x26151,x26152)+E(f866(x26151,x26153),f866(x26152,x26153))
% 191.26/191.50 [2616]~E(x26161,x26162)+E(f866(x26163,x26161),f866(x26163,x26162))
% 191.26/191.50 [2617]~E(x26171,x26172)+E(f409(x26171,x26173,x26174,x26175),f409(x26172,x26173,x26174,x26175))
% 191.26/191.50 [2618]~E(x26181,x26182)+E(f409(x26183,x26181,x26184,x26185),f409(x26183,x26182,x26184,x26185))
% 191.26/191.50 [2619]~E(x26191,x26192)+E(f409(x26193,x26194,x26191,x26195),f409(x26193,x26194,x26192,x26195))
% 191.26/191.50 [2620]~E(x26201,x26202)+E(f409(x26203,x26204,x26205,x26201),f409(x26203,x26204,x26205,x26202))
% 191.26/191.50 [2621]~E(x26211,x26212)+E(f438(x26211,x26213,x26214,x26215,x26216),f438(x26212,x26213,x26214,x26215,x26216))
% 191.26/191.50 [2622]~E(x26221,x26222)+E(f438(x26223,x26221,x26224,x26225,x26226),f438(x26223,x26222,x26224,x26225,x26226))
% 191.26/191.50 [2623]~E(x26231,x26232)+E(f438(x26233,x26234,x26231,x26235,x26236),f438(x26233,x26234,x26232,x26235,x26236))
% 191.26/191.50 [2624]~E(x26241,x26242)+E(f438(x26243,x26244,x26245,x26241,x26246),f438(x26243,x26244,x26245,x26242,x26246))
% 191.26/191.50 [2625]~E(x26251,x26252)+E(f438(x26253,x26254,x26255,x26256,x26251),f438(x26253,x26254,x26255,x26256,x26252))
% 191.26/191.50 [2626]~E(x26261,x26262)+E(f364(x26261,x26263,x26264),f364(x26262,x26263,x26264))
% 191.26/191.50 [2627]~E(x26271,x26272)+E(f364(x26273,x26271,x26274),f364(x26273,x26272,x26274))
% 191.26/191.50 [2628]~E(x26281,x26282)+E(f364(x26283,x26284,x26281),f364(x26283,x26284,x26282))
% 191.26/191.50 [2629]~E(x26291,x26292)+E(f513(x26291,x26293,x26294,x26295),f513(x26292,x26293,x26294,x26295))
% 191.26/191.50 [2630]~E(x26301,x26302)+E(f513(x26303,x26301,x26304,x26305),f513(x26303,x26302,x26304,x26305))
% 191.26/191.50 [2631]~E(x26311,x26312)+E(f513(x26313,x26314,x26311,x26315),f513(x26313,x26314,x26312,x26315))
% 191.26/191.50 [2632]~E(x26321,x26322)+E(f513(x26323,x26324,x26325,x26321),f513(x26323,x26324,x26325,x26322))
% 191.26/191.50 [2633]~E(x26331,x26332)+E(f127(x26331),f127(x26332))
% 191.26/191.50 [2634]~E(x26341,x26342)+E(f350(x26341,x26343),f350(x26342,x26343))
% 191.26/191.50 [2635]~E(x26351,x26352)+E(f350(x26353,x26351),f350(x26353,x26352))
% 191.26/191.50 [2636]~E(x26361,x26362)+E(f542(x26361,x26363,x26364,x26365,x26366,x26367),f542(x26362,x26363,x26364,x26365,x26366,x26367))
% 191.26/191.50 [2637]~E(x26371,x26372)+E(f542(x26373,x26371,x26374,x26375,x26376,x26377),f542(x26373,x26372,x26374,x26375,x26376,x26377))
% 191.26/191.50 [2638]~E(x26381,x26382)+E(f542(x26383,x26384,x26381,x26385,x26386,x26387),f542(x26383,x26384,x26382,x26385,x26386,x26387))
% 191.26/191.50 [2639]~E(x26391,x26392)+E(f542(x26393,x26394,x26395,x26391,x26396,x26397),f542(x26393,x26394,x26395,x26392,x26396,x26397))
% 191.26/191.50 [2640]~E(x26401,x26402)+E(f542(x26403,x26404,x26405,x26406,x26401,x26407),f542(x26403,x26404,x26405,x26406,x26402,x26407))
% 191.26/191.50 [2641]~E(x26411,x26412)+E(f542(x26413,x26414,x26415,x26416,x26417,x26411),f542(x26413,x26414,x26415,x26416,x26417,x26412))
% 191.26/191.50 [2642]~E(x26421,x26422)+E(f568(x26421,x26423,x26424),f568(x26422,x26423,x26424))
% 191.26/191.50 [2643]~E(x26431,x26432)+E(f568(x26433,x26431,x26434),f568(x26433,x26432,x26434))
% 191.26/191.50 [2644]~E(x26441,x26442)+E(f568(x26443,x26444,x26441),f568(x26443,x26444,x26442))
% 191.26/191.50 [2645]~E(x26451,x26452)+E(f403(x26451,x26453),f403(x26452,x26453))
% 191.26/191.50 [2646]~E(x26461,x26462)+E(f403(x26463,x26461),f403(x26463,x26462))
% 191.26/191.50 [2647]~E(x26471,x26472)+E(f464(x26471,x26473,x26474,x26475),f464(x26472,x26473,x26474,x26475))
% 191.26/191.50 [2648]~E(x26481,x26482)+E(f464(x26483,x26481,x26484,x26485),f464(x26483,x26482,x26484,x26485))
% 191.26/191.50 [2649]~E(x26491,x26492)+E(f464(x26493,x26494,x26491,x26495),f464(x26493,x26494,x26492,x26495))
% 191.26/191.50 [2650]~E(x26501,x26502)+E(f464(x26503,x26504,x26505,x26501),f464(x26503,x26504,x26505,x26502))
% 191.26/191.50 [2651]~E(x26511,x26512)+E(f372(x26511,x26513,x26514),f372(x26512,x26513,x26514))
% 191.26/191.50 [2652]~E(x26521,x26522)+E(f372(x26523,x26521,x26524),f372(x26523,x26522,x26524))
% 191.26/191.50 [2653]~E(x26531,x26532)+E(f372(x26533,x26534,x26531),f372(x26533,x26534,x26532))
% 191.26/191.50 [2654]~E(x26541,x26542)+E(f876(x26541,x26543,x26544),f876(x26542,x26543,x26544))
% 191.26/191.50 [2655]~E(x26551,x26552)+E(f876(x26553,x26551,x26554),f876(x26553,x26552,x26554))
% 191.26/191.50 [2656]~E(x26561,x26562)+E(f876(x26563,x26564,x26561),f876(x26563,x26564,x26562))
% 191.26/191.50 [2657]~E(x26571,x26572)+E(f389(x26571,x26573),f389(x26572,x26573))
% 191.26/191.50 [2658]~E(x26581,x26582)+E(f389(x26583,x26581),f389(x26583,x26582))
% 191.26/191.50 [2659]~E(x26591,x26592)+E(f134(x26591,x26593,x26594,x26595),f134(x26592,x26593,x26594,x26595))
% 191.26/191.50 [2660]~E(x26601,x26602)+E(f134(x26603,x26601,x26604,x26605),f134(x26603,x26602,x26604,x26605))
% 191.26/191.50 [2661]~E(x26611,x26612)+E(f134(x26613,x26614,x26611,x26615),f134(x26613,x26614,x26612,x26615))
% 191.26/191.50 [2662]~E(x26621,x26622)+E(f134(x26623,x26624,x26625,x26621),f134(x26623,x26624,x26625,x26622))
% 191.26/191.50 [2663]~E(x26631,x26632)+E(f784(x26631,x26633,x26634),f784(x26632,x26633,x26634))
% 191.26/191.50 [2664]~E(x26641,x26642)+E(f784(x26643,x26641,x26644),f784(x26643,x26642,x26644))
% 191.26/191.50 [2665]~E(x26651,x26652)+E(f784(x26653,x26654,x26651),f784(x26653,x26654,x26652))
% 191.26/191.50 [2666]~E(x26661,x26662)+E(f457(x26661,x26663,x26664,x26665,x26666,x26667),f457(x26662,x26663,x26664,x26665,x26666,x26667))
% 191.26/191.50 [2667]~E(x26671,x26672)+E(f457(x26673,x26671,x26674,x26675,x26676,x26677),f457(x26673,x26672,x26674,x26675,x26676,x26677))
% 191.26/191.50 [2668]~E(x26681,x26682)+E(f457(x26683,x26684,x26681,x26685,x26686,x26687),f457(x26683,x26684,x26682,x26685,x26686,x26687))
% 191.26/191.50 [2669]~E(x26691,x26692)+E(f457(x26693,x26694,x26695,x26691,x26696,x26697),f457(x26693,x26694,x26695,x26692,x26696,x26697))
% 191.26/191.50 [2670]~E(x26701,x26702)+E(f457(x26703,x26704,x26705,x26706,x26701,x26707),f457(x26703,x26704,x26705,x26706,x26702,x26707))
% 191.26/191.50 [2671]~E(x26711,x26712)+E(f457(x26713,x26714,x26715,x26716,x26717,x26711),f457(x26713,x26714,x26715,x26716,x26717,x26712))
% 191.26/191.50 [2672]~E(x26721,x26722)+E(f17(x26721,x26723,x26724,x26725),f17(x26722,x26723,x26724,x26725))
% 191.26/191.50 [2673]~E(x26731,x26732)+E(f17(x26733,x26731,x26734,x26735),f17(x26733,x26732,x26734,x26735))
% 191.26/191.50 [2674]~E(x26741,x26742)+E(f17(x26743,x26744,x26741,x26745),f17(x26743,x26744,x26742,x26745))
% 191.26/191.50 [2675]~E(x26751,x26752)+E(f17(x26753,x26754,x26755,x26751),f17(x26753,x26754,x26755,x26752))
% 191.26/191.50 [2676]~E(x26761,x26762)+E(f279(x26761,x26763,x26764,x26765),f279(x26762,x26763,x26764,x26765))
% 191.26/191.50 [2677]~E(x26771,x26772)+E(f279(x26773,x26771,x26774,x26775),f279(x26773,x26772,x26774,x26775))
% 191.26/191.50 [2678]~E(x26781,x26782)+E(f279(x26783,x26784,x26781,x26785),f279(x26783,x26784,x26782,x26785))
% 191.26/191.50 [2679]~E(x26791,x26792)+E(f279(x26793,x26794,x26795,x26791),f279(x26793,x26794,x26795,x26792))
% 191.26/191.50 [2680]~E(x26801,x26802)+E(f573(x26801,x26803,x26804,x26805),f573(x26802,x26803,x26804,x26805))
% 191.26/191.50 [2681]~E(x26811,x26812)+E(f573(x26813,x26811,x26814,x26815),f573(x26813,x26812,x26814,x26815))
% 191.26/191.50 [2682]~E(x26821,x26822)+E(f573(x26823,x26824,x26821,x26825),f573(x26823,x26824,x26822,x26825))
% 191.26/191.50 [2683]~E(x26831,x26832)+E(f573(x26833,x26834,x26835,x26831),f573(x26833,x26834,x26835,x26832))
% 191.26/191.50 [2684]~E(x26841,x26842)+E(f75(x26841,x26843),f75(x26842,x26843))
% 191.26/191.50 [2685]~E(x26851,x26852)+E(f75(x26853,x26851),f75(x26853,x26852))
% 191.26/191.50 [2686]~E(x26861,x26862)+E(f822(x26861,x26863,x26864),f822(x26862,x26863,x26864))
% 191.26/191.50 [2687]~E(x26871,x26872)+E(f822(x26873,x26871,x26874),f822(x26873,x26872,x26874))
% 191.26/191.50 [2688]~E(x26881,x26882)+E(f822(x26883,x26884,x26881),f822(x26883,x26884,x26882))
% 191.26/191.50 [2689]~E(x26891,x26892)+E(f576(x26891,x26893,x26894,x26895,x26896,x26897),f576(x26892,x26893,x26894,x26895,x26896,x26897))
% 191.26/191.50 [2690]~E(x26901,x26902)+E(f576(x26903,x26901,x26904,x26905,x26906,x26907),f576(x26903,x26902,x26904,x26905,x26906,x26907))
% 191.26/191.50 [2691]~E(x26911,x26912)+E(f576(x26913,x26914,x26911,x26915,x26916,x26917),f576(x26913,x26914,x26912,x26915,x26916,x26917))
% 191.26/191.50 [2692]~E(x26921,x26922)+E(f576(x26923,x26924,x26925,x26921,x26926,x26927),f576(x26923,x26924,x26925,x26922,x26926,x26927))
% 191.26/191.50 [2693]~E(x26931,x26932)+E(f576(x26933,x26934,x26935,x26936,x26931,x26937),f576(x26933,x26934,x26935,x26936,x26932,x26937))
% 191.26/191.50 [2694]~E(x26941,x26942)+E(f576(x26943,x26944,x26945,x26946,x26947,x26941),f576(x26943,x26944,x26945,x26946,x26947,x26942))
% 191.26/191.50 [2695]~E(x26951,x26952)+E(f551(x26951,x26953,x26954),f551(x26952,x26953,x26954))
% 191.26/191.50 [2696]~E(x26961,x26962)+E(f551(x26963,x26961,x26964),f551(x26963,x26962,x26964))
% 191.26/191.50 [2697]~E(x26971,x26972)+E(f551(x26973,x26974,x26971),f551(x26973,x26974,x26972))
% 191.26/191.50 [2698]~E(x26981,x26982)+E(f363(x26981,x26983),f363(x26982,x26983))
% 191.26/191.50 [2699]~E(x26991,x26992)+E(f363(x26993,x26991),f363(x26993,x26992))
% 191.26/191.50 [2700]~E(x27001,x27002)+E(f751(x27001,x27003),f751(x27002,x27003))
% 191.26/191.50 [2701]~E(x27011,x27012)+E(f751(x27013,x27011),f751(x27013,x27012))
% 191.26/191.50 [2702]~E(x27021,x27022)+E(f869(x27021),f869(x27022))
% 191.26/191.50 [2703]~E(x27031,x27032)+E(f593(x27031,x27033),f593(x27032,x27033))
% 191.26/191.50 [2704]~E(x27041,x27042)+E(f593(x27043,x27041),f593(x27043,x27042))
% 191.26/191.50 [2705]~E(x27051,x27052)+E(f549(x27051,x27053,x27054,x27055),f549(x27052,x27053,x27054,x27055))
% 191.26/191.50 [2706]~E(x27061,x27062)+E(f549(x27063,x27061,x27064,x27065),f549(x27063,x27062,x27064,x27065))
% 191.26/191.50 [2707]~E(x27071,x27072)+E(f549(x27073,x27074,x27071,x27075),f549(x27073,x27074,x27072,x27075))
% 191.26/191.50 [2708]~E(x27081,x27082)+E(f549(x27083,x27084,x27085,x27081),f549(x27083,x27084,x27085,x27082))
% 191.26/191.50 [2709]~E(x27091,x27092)+E(f210(x27091,x27093,x27094,x27095),f210(x27092,x27093,x27094,x27095))
% 191.26/191.50 [2710]~E(x27101,x27102)+E(f210(x27103,x27101,x27104,x27105),f210(x27103,x27102,x27104,x27105))
% 191.26/191.50 [2711]~E(x27111,x27112)+E(f210(x27113,x27114,x27111,x27115),f210(x27113,x27114,x27112,x27115))
% 191.26/191.50 [2712]~E(x27121,x27122)+E(f210(x27123,x27124,x27125,x27121),f210(x27123,x27124,x27125,x27122))
% 191.26/191.50 [2713]~E(x27131,x27132)+E(f654(x27131,x27133,x27134,x27135,x27136,x27137),f654(x27132,x27133,x27134,x27135,x27136,x27137))
% 191.26/191.50 [2714]~E(x27141,x27142)+E(f654(x27143,x27141,x27144,x27145,x27146,x27147),f654(x27143,x27142,x27144,x27145,x27146,x27147))
% 191.26/191.50 [2715]~E(x27151,x27152)+E(f654(x27153,x27154,x27151,x27155,x27156,x27157),f654(x27153,x27154,x27152,x27155,x27156,x27157))
% 191.26/191.50 [2716]~E(x27161,x27162)+E(f654(x27163,x27164,x27165,x27161,x27166,x27167),f654(x27163,x27164,x27165,x27162,x27166,x27167))
% 191.26/191.50 [2717]~E(x27171,x27172)+E(f654(x27173,x27174,x27175,x27176,x27171,x27177),f654(x27173,x27174,x27175,x27176,x27172,x27177))
% 191.26/191.50 [2718]~E(x27181,x27182)+E(f654(x27183,x27184,x27185,x27186,x27187,x27181),f654(x27183,x27184,x27185,x27186,x27187,x27182))
% 191.26/191.50 [2719]~E(x27191,x27192)+E(f233(x27191,x27193,x27194,x27195),f233(x27192,x27193,x27194,x27195))
% 191.26/191.50 [2720]~E(x27201,x27202)+E(f233(x27203,x27201,x27204,x27205),f233(x27203,x27202,x27204,x27205))
% 191.26/191.50 [2721]~E(x27211,x27212)+E(f233(x27213,x27214,x27211,x27215),f233(x27213,x27214,x27212,x27215))
% 191.26/191.50 [2722]~E(x27221,x27222)+E(f233(x27223,x27224,x27225,x27221),f233(x27223,x27224,x27225,x27222))
% 191.26/191.50 [2723]~E(x27231,x27232)+E(f561(x27231,x27233),f561(x27232,x27233))
% 191.26/191.50 [2724]~E(x27241,x27242)+E(f561(x27243,x27241),f561(x27243,x27242))
% 191.26/191.50 [2725]~E(x27251,x27252)+E(f208(x27251),f208(x27252))
% 191.26/191.50 [2726]~E(x27261,x27262)+E(f365(x27261,x27263,x27264),f365(x27262,x27263,x27264))
% 191.26/191.50 [2727]~E(x27271,x27272)+E(f365(x27273,x27271,x27274),f365(x27273,x27272,x27274))
% 191.26/191.50 [2728]~E(x27281,x27282)+E(f365(x27283,x27284,x27281),f365(x27283,x27284,x27282))
% 191.26/191.50 [2729]~E(x27291,x27292)+E(f539(x27291,x27293),f539(x27292,x27293))
% 191.26/191.50 [2730]~E(x27301,x27302)+E(f539(x27303,x27301),f539(x27303,x27302))
% 191.26/191.50 [2731]~E(x27311,x27312)+E(f232(x27311,x27313,x27314),f232(x27312,x27313,x27314))
% 191.26/191.50 [2732]~E(x27321,x27322)+E(f232(x27323,x27321,x27324),f232(x27323,x27322,x27324))
% 191.26/191.50 [2733]~E(x27331,x27332)+E(f232(x27333,x27334,x27331),f232(x27333,x27334,x27332))
% 191.26/191.50 [2734]~E(x27341,x27342)+E(f538(x27341,x27343),f538(x27342,x27343))
% 191.26/191.50 [2735]~E(x27351,x27352)+E(f538(x27353,x27351),f538(x27353,x27352))
% 191.26/191.50 [2736]~E(x27361,x27362)+E(f491(x27361,x27363,x27364),f491(x27362,x27363,x27364))
% 191.26/191.50 [2737]~E(x27371,x27372)+E(f491(x27373,x27371,x27374),f491(x27373,x27372,x27374))
% 191.26/191.50 [2738]~E(x27381,x27382)+E(f491(x27383,x27384,x27381),f491(x27383,x27384,x27382))
% 191.26/191.50 [2739]~E(x27391,x27392)+E(f873(x27391,x27393),f873(x27392,x27393))
% 191.26/191.50 [2740]~E(x27401,x27402)+E(f873(x27403,x27401),f873(x27403,x27402))
% 191.26/191.50 [2741]~E(x27411,x27412)+E(f467(x27411,x27413,x27414,x27415,x27416),f467(x27412,x27413,x27414,x27415,x27416))
% 191.26/191.50 [2742]~E(x27421,x27422)+E(f467(x27423,x27421,x27424,x27425,x27426),f467(x27423,x27422,x27424,x27425,x27426))
% 191.26/191.50 [2743]~E(x27431,x27432)+E(f467(x27433,x27434,x27431,x27435,x27436),f467(x27433,x27434,x27432,x27435,x27436))
% 191.26/191.50 [2744]~E(x27441,x27442)+E(f467(x27443,x27444,x27445,x27441,x27446),f467(x27443,x27444,x27445,x27442,x27446))
% 191.26/191.50 [2745]~E(x27451,x27452)+E(f467(x27453,x27454,x27455,x27456,x27451),f467(x27453,x27454,x27455,x27456,x27452))
% 191.26/191.50 [2746]~E(x27461,x27462)+E(f786(x27461,x27463,x27464),f786(x27462,x27463,x27464))
% 191.26/191.50 [2747]~E(x27471,x27472)+E(f786(x27473,x27471,x27474),f786(x27473,x27472,x27474))
% 191.26/191.50 [2748]~E(x27481,x27482)+E(f786(x27483,x27484,x27481),f786(x27483,x27484,x27482))
% 191.26/191.50 [2749]~E(x27491,x27492)+E(f98(x27491,x27493,x27494,x27495),f98(x27492,x27493,x27494,x27495))
% 191.26/191.50 [2750]~E(x27501,x27502)+E(f98(x27503,x27501,x27504,x27505),f98(x27503,x27502,x27504,x27505))
% 191.26/191.50 [2751]~E(x27511,x27512)+E(f98(x27513,x27514,x27511,x27515),f98(x27513,x27514,x27512,x27515))
% 191.26/191.50 [2752]~E(x27521,x27522)+E(f98(x27523,x27524,x27525,x27521),f98(x27523,x27524,x27525,x27522))
% 191.26/191.50 [2753]~E(x27531,x27532)+E(f550(x27531,x27533),f550(x27532,x27533))
% 191.26/191.50 [2754]~E(x27541,x27542)+E(f550(x27543,x27541),f550(x27543,x27542))
% 191.26/191.50 [2755]~P1(x27551)+P1(x27552)+~E(x27551,x27552)
% 191.26/191.50 [2756]~P2(x27561)+P2(x27562)+~E(x27561,x27562)
% 191.26/191.50 [2757]~P112(x27571)+P112(x27572)+~E(x27571,x27572)
% 191.26/191.50 [2758]~P104(x27581)+P104(x27582)+~E(x27581,x27582)
% 191.26/191.50 [2759]~P103(x27591)+P103(x27592)+~E(x27591,x27592)
% 191.26/191.50 [2760]~P89(x27601)+P89(x27602)+~E(x27601,x27602)
% 191.26/191.50 [2761]P48(x27612,x27613,x27614,x27615)+~E(x27611,x27612)+~P48(x27611,x27613,x27614,x27615)
% 191.26/191.50 [2762]P48(x27623,x27622,x27624,x27625)+~E(x27621,x27622)+~P48(x27623,x27621,x27624,x27625)
% 191.26/191.50 [2763]P48(x27633,x27634,x27632,x27635)+~E(x27631,x27632)+~P48(x27633,x27634,x27631,x27635)
% 191.26/191.50 [2764]P48(x27643,x27644,x27645,x27642)+~E(x27641,x27642)+~P48(x27643,x27644,x27645,x27641)
% 191.26/191.50 [2765]~P3(x27651)+P3(x27652)+~E(x27651,x27652)
% 191.26/191.50 [2766]~P105(x27661)+P105(x27662)+~E(x27661,x27662)
% 191.26/191.50 [2767]~P99(x27671)+P99(x27672)+~E(x27671,x27672)
% 191.26/191.50 [2768]~P109(x27681)+P109(x27682)+~E(x27681,x27682)
% 191.26/191.50 [2769]P18(x27692,x27693)+~E(x27691,x27692)+~P18(x27691,x27693)
% 191.26/191.50 [2770]P18(x27703,x27702)+~E(x27701,x27702)+~P18(x27703,x27701)
% 191.26/191.50 [2771]~P114(x27711)+P114(x27712)+~E(x27711,x27712)
% 191.26/191.50 [2772]~P110(x27721)+P110(x27722)+~E(x27721,x27722)
% 191.26/191.50 [2773]~P4(x27731)+P4(x27732)+~E(x27731,x27732)
% 191.26/191.50 [2774]P46(x27742,x27743,x27744)+~E(x27741,x27742)+~P46(x27741,x27743,x27744)
% 191.26/191.50 [2775]P46(x27753,x27752,x27754)+~E(x27751,x27752)+~P46(x27753,x27751,x27754)
% 191.26/191.50 [2776]P46(x27763,x27764,x27762)+~E(x27761,x27762)+~P46(x27763,x27764,x27761)
% 191.26/191.50 [2777]~P10(x27771)+P10(x27772)+~E(x27771,x27772)
% 191.26/191.50 [2778]~P116(x27781)+P116(x27782)+~E(x27781,x27782)
% 191.26/191.50 [2779]P148(x27792,x27793,x27794)+~E(x27791,x27792)+~P148(x27791,x27793,x27794)
% 191.26/191.50 [2780]P148(x27803,x27802,x27804)+~E(x27801,x27802)+~P148(x27803,x27801,x27804)
% 191.26/191.50 [2781]P148(x27813,x27814,x27812)+~E(x27811,x27812)+~P148(x27813,x27814,x27811)
% 191.26/191.50 [2782]P41(x27822,x27823,x27824)+~E(x27821,x27822)+~P41(x27821,x27823,x27824)
% 191.26/191.50 [2783]P41(x27833,x27832,x27834)+~E(x27831,x27832)+~P41(x27833,x27831,x27834)
% 191.26/191.50 [2784]P41(x27843,x27844,x27842)+~E(x27841,x27842)+~P41(x27843,x27844,x27841)
% 191.26/191.50 [2785]~P5(x27851)+P5(x27852)+~E(x27851,x27852)
% 191.26/191.50 [2786]~P73(x27861)+P73(x27862)+~E(x27861,x27862)
% 191.26/191.50 [2787]~P96(x27871)+P96(x27872)+~E(x27871,x27872)
% 191.26/191.50 [2788]~P78(x27881)+P78(x27882)+~E(x27881,x27882)
% 191.26/191.50 [2789]~P146(x27891)+P146(x27892)+~E(x27891,x27892)
% 191.26/191.50 [2790]P36(x27902,x27903,x27904)+~E(x27901,x27902)+~P36(x27901,x27903,x27904)
% 191.26/191.50 [2791]P36(x27913,x27912,x27914)+~E(x27911,x27912)+~P36(x27913,x27911,x27914)
% 191.26/191.50 [2792]P36(x27923,x27924,x27922)+~E(x27921,x27922)+~P36(x27923,x27924,x27921)
% 191.26/191.50 [2793]~P83(x27931)+P83(x27932)+~E(x27931,x27932)
% 191.26/191.50 [2794]P24(x27942,x27943,x27944,x27945)+~E(x27941,x27942)+~P24(x27941,x27943,x27944,x27945)
% 191.26/191.50 [2795]P24(x27953,x27952,x27954,x27955)+~E(x27951,x27952)+~P24(x27953,x27951,x27954,x27955)
% 191.26/191.50 [2796]P24(x27963,x27964,x27962,x27965)+~E(x27961,x27962)+~P24(x27963,x27964,x27961,x27965)
% 191.26/191.50 [2797]P24(x27973,x27974,x27975,x27972)+~E(x27971,x27972)+~P24(x27973,x27974,x27975,x27971)
% 191.26/191.50 [2798]~P120(x27981)+P120(x27982)+~E(x27981,x27982)
% 191.26/191.50 [2799]~P6(x27991)+P6(x27992)+~E(x27991,x27992)
% 191.26/191.50 [2800]~P47(x28001)+P47(x28002)+~E(x28001,x28002)
% 191.26/191.50 [2801]~P121(x28011)+P121(x28012)+~E(x28011,x28012)
% 191.26/191.50 [2802]~P7(x28021)+P7(x28022)+~E(x28021,x28022)
% 191.26/191.50 [2803]P39(x28032,x28033,x28034)+~E(x28031,x28032)+~P39(x28031,x28033,x28034)
% 191.26/191.50 [2804]P39(x28043,x28042,x28044)+~E(x28041,x28042)+~P39(x28043,x28041,x28044)
% 191.26/191.50 [2805]P39(x28053,x28054,x28052)+~E(x28051,x28052)+~P39(x28053,x28054,x28051)
% 191.26/191.50 [2806]P59(x28062,x28063)+~E(x28061,x28062)+~P59(x28061,x28063)
% 191.26/191.50 [2807]P59(x28073,x28072)+~E(x28071,x28072)+~P59(x28073,x28071)
% 191.26/191.50 [2808]~P8(x28081)+P8(x28082)+~E(x28081,x28082)
% 191.26/191.50 [2809]~P133(x28091)+P133(x28092)+~E(x28091,x28092)
% 191.26/191.50 [2810]P149(x28102,x28103,x28104)+~E(x28101,x28102)+~P149(x28101,x28103,x28104)
% 191.26/191.50 [2811]P149(x28113,x28112,x28114)+~E(x28111,x28112)+~P149(x28113,x28111,x28114)
% 191.26/191.50 [2812]P149(x28123,x28124,x28122)+~E(x28121,x28122)+~P149(x28123,x28124,x28121)
% 191.26/191.50 [2813]~P95(x28131)+P95(x28132)+~E(x28131,x28132)
% 191.26/191.50 [2814]~P111(x28141)+P111(x28142)+~E(x28141,x28142)
% 191.26/191.50 [2815]P43(x28152,x28153)+~E(x28151,x28152)+~P43(x28151,x28153)
% 191.26/191.50 [2816]P43(x28163,x28162)+~E(x28161,x28162)+~P43(x28163,x28161)
% 191.26/191.50 [2817]P35(x28172,x28173)+~E(x28171,x28172)+~P35(x28171,x28173)
% 191.26/191.50 [2818]P35(x28183,x28182)+~E(x28181,x28182)+~P35(x28183,x28181)
% 191.26/191.50 [2819]~P129(x28191)+P129(x28192)+~E(x28191,x28192)
% 191.26/191.50 [2820]P33(x28202,x28203,x28204)+~E(x28201,x28202)+~P33(x28201,x28203,x28204)
% 191.26/191.50 [2821]P33(x28213,x28212,x28214)+~E(x28211,x28212)+~P33(x28213,x28211,x28214)
% 191.26/191.50 [2822]P33(x28223,x28224,x28222)+~E(x28221,x28222)+~P33(x28223,x28224,x28221)
% 191.26/191.50 [2823]P44(x28232,x28233)+~E(x28231,x28232)+~P44(x28231,x28233)
% 191.26/191.50 [2824]P44(x28243,x28242)+~E(x28241,x28242)+~P44(x28243,x28241)
% 191.26/191.50 [2825]~P80(x28251)+P80(x28252)+~E(x28251,x28252)
% 191.26/191.50 [2826]~P113(x28261)+P113(x28262)+~E(x28261,x28262)
% 191.26/191.50 [2827]P63(x28272,x28273,x28274)+~E(x28271,x28272)+~P63(x28271,x28273,x28274)
% 191.26/191.50 [2828]P63(x28283,x28282,x28284)+~E(x28281,x28282)+~P63(x28283,x28281,x28284)
% 191.26/191.50 [2829]P63(x28293,x28294,x28292)+~E(x28291,x28292)+~P63(x28293,x28294,x28291)
% 191.26/191.50 [2830]P40(x28302,x28303,x28304,x28305,x28306)+~E(x28301,x28302)+~P40(x28301,x28303,x28304,x28305,x28306)
% 191.26/191.50 [2831]P40(x28313,x28312,x28314,x28315,x28316)+~E(x28311,x28312)+~P40(x28313,x28311,x28314,x28315,x28316)
% 191.26/191.50 [2832]P40(x28323,x28324,x28322,x28325,x28326)+~E(x28321,x28322)+~P40(x28323,x28324,x28321,x28325,x28326)
% 191.26/191.50 [2833]P40(x28333,x28334,x28335,x28332,x28336)+~E(x28331,x28332)+~P40(x28333,x28334,x28335,x28331,x28336)
% 191.26/191.50 [2834]P40(x28343,x28344,x28345,x28346,x28342)+~E(x28341,x28342)+~P40(x28343,x28344,x28345,x28346,x28341)
% 191.26/191.50 [2835]P60(x28352,x28353,x28354)+~E(x28351,x28352)+~P60(x28351,x28353,x28354)
% 191.26/191.50 [2836]P60(x28363,x28362,x28364)+~E(x28361,x28362)+~P60(x28363,x28361,x28364)
% 191.26/191.50 [2837]P60(x28373,x28374,x28372)+~E(x28371,x28372)+~P60(x28373,x28374,x28371)
% 191.26/191.50 [2838]P34(x28382,x28383,x28384)+~E(x28381,x28382)+~P34(x28381,x28383,x28384)
% 191.26/191.50 [2839]P34(x28393,x28392,x28394)+~E(x28391,x28392)+~P34(x28393,x28391,x28394)
% 191.26/191.50 [2840]P34(x28403,x28404,x28402)+~E(x28401,x28402)+~P34(x28403,x28404,x28401)
% 191.26/191.50 [2841]P64(x28412,x28413,x28414,x28415,x28416)+~E(x28411,x28412)+~P64(x28411,x28413,x28414,x28415,x28416)
% 191.26/191.50 [2842]P64(x28423,x28422,x28424,x28425,x28426)+~E(x28421,x28422)+~P64(x28423,x28421,x28424,x28425,x28426)
% 191.26/191.50 [2843]P64(x28433,x28434,x28432,x28435,x28436)+~E(x28431,x28432)+~P64(x28433,x28434,x28431,x28435,x28436)
% 191.26/191.50 [2844]P64(x28443,x28444,x28445,x28442,x28446)+~E(x28441,x28442)+~P64(x28443,x28444,x28445,x28441,x28446)
% 191.26/191.50 [2845]P64(x28453,x28454,x28455,x28456,x28452)+~E(x28451,x28452)+~P64(x28453,x28454,x28455,x28456,x28451)
% 191.26/191.50 [2846]P67(x28462,x28463)+~E(x28461,x28462)+~P67(x28461,x28463)
% 191.26/191.50 [2847]P67(x28473,x28472)+~E(x28471,x28472)+~P67(x28473,x28471)
% 191.26/191.50 [2848]~P74(x28481)+P74(x28482)+~E(x28481,x28482)
% 191.26/191.50 [2849]~P84(x28491)+P84(x28492)+~E(x28491,x28492)
% 191.26/191.50 [2850]~P127(x28501)+P127(x28502)+~E(x28501,x28502)
% 191.26/191.50 [2851]P29(x28512,x28513,x28514)+~E(x28511,x28512)+~P29(x28511,x28513,x28514)
% 191.26/191.50 [2852]P29(x28523,x28522,x28524)+~E(x28521,x28522)+~P29(x28523,x28521,x28524)
% 191.26/191.50 [2853]P29(x28533,x28534,x28532)+~E(x28531,x28532)+~P29(x28533,x28534,x28531)
% 191.26/191.50 [2854]~P85(x28541)+P85(x28542)+~E(x28541,x28542)
% 191.26/191.50 [2855]P31(x28552,x28553,x28554,x28555,x28556)+~E(x28551,x28552)+~P31(x28551,x28553,x28554,x28555,x28556)
% 191.26/191.50 [2856]P31(x28563,x28562,x28564,x28565,x28566)+~E(x28561,x28562)+~P31(x28563,x28561,x28564,x28565,x28566)
% 191.26/191.50 [2857]P31(x28573,x28574,x28572,x28575,x28576)+~E(x28571,x28572)+~P31(x28573,x28574,x28571,x28575,x28576)
% 191.26/191.50 [2858]P31(x28583,x28584,x28585,x28582,x28586)+~E(x28581,x28582)+~P31(x28583,x28584,x28585,x28581,x28586)
% 191.26/191.50 [2859]P31(x28593,x28594,x28595,x28596,x28592)+~E(x28591,x28592)+~P31(x28593,x28594,x28595,x28596,x28591)
% 191.26/191.50 [2860]P30(x28602,x28603,x28604,x28605)+~E(x28601,x28602)+~P30(x28601,x28603,x28604,x28605)
% 191.26/191.50 [2861]P30(x28613,x28612,x28614,x28615)+~E(x28611,x28612)+~P30(x28613,x28611,x28614,x28615)
% 191.26/191.50 [2862]P30(x28623,x28624,x28622,x28625)+~E(x28621,x28622)+~P30(x28623,x28624,x28621,x28625)
% 191.26/191.50 [2863]P30(x28633,x28634,x28635,x28632)+~E(x28631,x28632)+~P30(x28633,x28634,x28635,x28631)
% 191.26/191.50 [2864]~P90(x28641)+P90(x28642)+~E(x28641,x28642)
% 191.26/191.50 [2865]P65(x28652,x28653)+~E(x28651,x28652)+~P65(x28651,x28653)
% 191.26/191.50 [2866]P65(x28663,x28662)+~E(x28661,x28662)+~P65(x28663,x28661)
% 191.26/191.50 [2867]~P72(x28671)+P72(x28672)+~E(x28671,x28672)
% 191.26/191.50 [2868]P14(x28682,x28683,x28684)+~E(x28681,x28682)+~P14(x28681,x28683,x28684)
% 191.26/191.50 [2869]P14(x28693,x28692,x28694)+~E(x28691,x28692)+~P14(x28693,x28691,x28694)
% 191.26/191.50 [2870]P14(x28703,x28704,x28702)+~E(x28701,x28702)+~P14(x28703,x28704,x28701)
% 191.26/191.50 [2871]~P9(x28711)+P9(x28712)+~E(x28711,x28712)
% 191.26/191.50 [2872]~P70(x28721)+P70(x28722)+~E(x28721,x28722)
% 191.26/191.50 [2873]~P81(x28731)+P81(x28732)+~E(x28731,x28732)
% 191.26/191.50 [2874]~P124(x28741)+P124(x28742)+~E(x28741,x28742)
% 191.26/191.50 [2875]~P79(x28751)+P79(x28752)+~E(x28751,x28752)
% 191.26/191.50 [2876]~P71(x28761)+P71(x28762)+~E(x28761,x28762)
% 191.26/191.50 [2877]~P75(x28771)+P75(x28772)+~E(x28771,x28772)
% 191.26/191.50 [2878]~P86(x28781)+P86(x28782)+~E(x28781,x28782)
% 191.26/191.50 [2879]~P98(x28791)+P98(x28792)+~E(x28791,x28792)
% 191.26/191.50 [2880]~P97(x28801)+P97(x28802)+~E(x28801,x28802)
% 191.26/191.50 [2881]P37(x28812,x28813,x28814)+~E(x28811,x28812)+~P37(x28811,x28813,x28814)
% 191.26/191.50 [2882]P37(x28823,x28822,x28824)+~E(x28821,x28822)+~P37(x28823,x28821,x28824)
% 191.26/191.50 [2883]P37(x28833,x28834,x28832)+~E(x28831,x28832)+~P37(x28833,x28834,x28831)
% 191.26/191.50 [2884]~P119(x28841)+P119(x28842)+~E(x28841,x28842)
% 191.26/191.50 [2885]~P101(x28851)+P101(x28852)+~E(x28851,x28852)
% 191.26/191.50 [2886]P13(x28862,x28863,x28864)+~E(x28861,x28862)+~P13(x28861,x28863,x28864)
% 191.26/191.50 [2887]P13(x28873,x28872,x28874)+~E(x28871,x28872)+~P13(x28873,x28871,x28874)
% 191.26/191.50 [2888]P13(x28883,x28884,x28882)+~E(x28881,x28882)+~P13(x28883,x28884,x28881)
% 191.26/191.50 [2889]~P91(x28891)+P91(x28892)+~E(x28891,x28892)
% 191.26/191.50 [2890]P26(x28902,x28903,x28904,x28905,x28906)+~E(x28901,x28902)+~P26(x28901,x28903,x28904,x28905,x28906)
% 191.26/191.50 [2891]P26(x28913,x28912,x28914,x28915,x28916)+~E(x28911,x28912)+~P26(x28913,x28911,x28914,x28915,x28916)
% 191.26/191.50 [2892]P26(x28923,x28924,x28922,x28925,x28926)+~E(x28921,x28922)+~P26(x28923,x28924,x28921,x28925,x28926)
% 191.26/191.50 [2893]P26(x28933,x28934,x28935,x28932,x28936)+~E(x28931,x28932)+~P26(x28933,x28934,x28935,x28931,x28936)
% 191.26/191.50 [2894]P26(x28943,x28944,x28945,x28946,x28942)+~E(x28941,x28942)+~P26(x28943,x28944,x28945,x28946,x28941)
% 191.26/191.50 [2895]~P106(x28951)+P106(x28952)+~E(x28951,x28952)
% 191.26/191.50 [2896]~P11(x28961)+P11(x28962)+~E(x28961,x28962)
% 191.26/191.50 [2897]P66(x28972,x28973,x28974,x28975)+~E(x28971,x28972)+~P66(x28971,x28973,x28974,x28975)
% 191.26/191.50 [2898]P66(x28983,x28982,x28984,x28985)+~E(x28981,x28982)+~P66(x28983,x28981,x28984,x28985)
% 191.26/191.50 [2899]P66(x28993,x28994,x28992,x28995)+~E(x28991,x28992)+~P66(x28993,x28994,x28991,x28995)
% 191.26/191.50 [2900]P66(x29003,x29004,x29005,x29002)+~E(x29001,x29002)+~P66(x29003,x29004,x29005,x29001)
% 191.26/191.50 [2901]~P68(x29011)+P68(x29012)+~E(x29011,x29012)
% 191.26/191.50 [2902]~P76(x29021)+P76(x29022)+~E(x29021,x29022)
% 191.26/191.50 [2903]P21(x29032,x29033,x29034)+~E(x29031,x29032)+~P21(x29031,x29033,x29034)
% 191.26/191.50 [2904]P21(x29043,x29042,x29044)+~E(x29041,x29042)+~P21(x29043,x29041,x29044)
% 191.26/191.50 [2905]P21(x29053,x29054,x29052)+~E(x29051,x29052)+~P21(x29053,x29054,x29051)
% 191.26/191.50 [2906]~P147(x29061)+P147(x29062)+~E(x29061,x29062)
% 191.26/191.50 [2907]P20(x29072,x29073)+~E(x29071,x29072)+~P20(x29071,x29073)
% 191.26/191.50 [2908]P20(x29083,x29082)+~E(x29081,x29082)+~P20(x29083,x29081)
% 191.26/191.50 [2909]P50(x29092,x29093,x29094,x29095,x29096,x29097)+~E(x29091,x29092)+~P50(x29091,x29093,x29094,x29095,x29096,x29097)
% 191.26/191.50 [2910]P50(x29103,x29102,x29104,x29105,x29106,x29107)+~E(x29101,x29102)+~P50(x29103,x29101,x29104,x29105,x29106,x29107)
% 191.26/191.50 [2911]P50(x29113,x29114,x29112,x29115,x29116,x29117)+~E(x29111,x29112)+~P50(x29113,x29114,x29111,x29115,x29116,x29117)
% 191.26/191.50 [2912]P50(x29123,x29124,x29125,x29122,x29126,x29127)+~E(x29121,x29122)+~P50(x29123,x29124,x29125,x29121,x29126,x29127)
% 191.26/191.50 [2913]P50(x29133,x29134,x29135,x29136,x29132,x29137)+~E(x29131,x29132)+~P50(x29133,x29134,x29135,x29136,x29131,x29137)
% 191.26/191.50 [2914]P50(x29143,x29144,x29145,x29146,x29147,x29142)+~E(x29141,x29142)+~P50(x29143,x29144,x29145,x29146,x29147,x29141)
% 191.26/191.50 [2915]~P87(x29151)+P87(x29152)+~E(x29151,x29152)
% 191.26/191.50 [2916]~P138(x29161)+P138(x29162)+~E(x29161,x29162)
% 191.26/191.50 [2917]P22(x29172,x29173,x29174)+~E(x29171,x29172)+~P22(x29171,x29173,x29174)
% 191.26/191.50 [2918]P22(x29183,x29182,x29184)+~E(x29181,x29182)+~P22(x29183,x29181,x29184)
% 191.26/191.50 [2919]P22(x29193,x29194,x29192)+~E(x29191,x29192)+~P22(x29193,x29194,x29191)
% 191.26/191.50 [2920]~P88(x29201)+P88(x29202)+~E(x29201,x29202)
% 191.26/191.50 [2921]~P140(x29211)+P140(x29212)+~E(x29211,x29212)
% 191.26/191.50 [2922]~P137(x29221)+P137(x29222)+~E(x29221,x29222)
% 191.26/191.50 [2923]P12(x29232,x29233)+~E(x29231,x29232)+~P12(x29231,x29233)
% 191.26/191.50 [2924]P12(x29243,x29242)+~E(x29241,x29242)+~P12(x29243,x29241)
% 191.26/191.50 [2925]P28(x29252,x29253,x29254,x29255,x29256,x29257)+~E(x29251,x29252)+~P28(x29251,x29253,x29254,x29255,x29256,x29257)
% 191.26/191.50 [2926]P28(x29263,x29262,x29264,x29265,x29266,x29267)+~E(x29261,x29262)+~P28(x29263,x29261,x29264,x29265,x29266,x29267)
% 191.26/191.50 [2927]P28(x29273,x29274,x29272,x29275,x29276,x29277)+~E(x29271,x29272)+~P28(x29273,x29274,x29271,x29275,x29276,x29277)
% 191.26/191.50 [2928]P28(x29283,x29284,x29285,x29282,x29286,x29287)+~E(x29281,x29282)+~P28(x29283,x29284,x29285,x29281,x29286,x29287)
% 191.26/191.50 [2929]P28(x29293,x29294,x29295,x29296,x29292,x29297)+~E(x29291,x29292)+~P28(x29293,x29294,x29295,x29296,x29291,x29297)
% 191.26/191.50 [2930]P28(x29303,x29304,x29305,x29306,x29307,x29302)+~E(x29301,x29302)+~P28(x29303,x29304,x29305,x29306,x29307,x29301)
% 191.26/191.50 [2931]~P131(x29311)+P131(x29312)+~E(x29311,x29312)
% 191.26/191.50 [2932]~P143(x29321)+P143(x29322)+~E(x29321,x29322)
% 191.26/191.50 [2933]~P132(x29331)+P132(x29332)+~E(x29331,x29332)
% 191.26/191.50 [2934]~P144(x29341)+P144(x29342)+~E(x29341,x29342)
% 191.26/191.50 [2935]~P130(x29351)+P130(x29352)+~E(x29351,x29352)
% 191.26/191.50 [2936]~P69(x29361)+P69(x29362)+~E(x29361,x29362)
% 191.26/191.50 [2937]~P142(x29371)+P142(x29372)+~E(x29371,x29372)
% 191.26/191.50 [2938]P38(x29382,x29383,x29384,x29385)+~E(x29381,x29382)+~P38(x29381,x29383,x29384,x29385)
% 191.26/191.50 [2939]P38(x29393,x29392,x29394,x29395)+~E(x29391,x29392)+~P38(x29393,x29391,x29394,x29395)
% 191.26/191.50 [2940]P38(x29403,x29404,x29402,x29405)+~E(x29401,x29402)+~P38(x29403,x29404,x29401,x29405)
% 191.26/191.50 [2941]P38(x29413,x29414,x29415,x29412)+~E(x29411,x29412)+~P38(x29413,x29414,x29415,x29411)
% 191.26/191.50 [2942]P62(x29422,x29423,x29424)+~E(x29421,x29422)+~P62(x29421,x29423,x29424)
% 191.26/191.50 [2943]P62(x29433,x29432,x29434)+~E(x29431,x29432)+~P62(x29433,x29431,x29434)
% 191.26/191.50 [2944]P62(x29443,x29444,x29442)+~E(x29441,x29442)+~P62(x29443,x29444,x29441)
% 191.26/191.50 [2945]P15(x29452,x29453,x29454,x29455,x29456)+~E(x29451,x29452)+~P15(x29451,x29453,x29454,x29455,x29456)
% 191.26/191.50 [2946]P15(x29463,x29462,x29464,x29465,x29466)+~E(x29461,x29462)+~P15(x29463,x29461,x29464,x29465,x29466)
% 191.26/191.50 [2947]P15(x29473,x29474,x29472,x29475,x29476)+~E(x29471,x29472)+~P15(x29473,x29474,x29471,x29475,x29476)
% 191.26/191.50 [2948]P15(x29483,x29484,x29485,x29482,x29486)+~E(x29481,x29482)+~P15(x29483,x29484,x29485,x29481,x29486)
% 191.26/191.50 [2949]P15(x29493,x29494,x29495,x29496,x29492)+~E(x29491,x29492)+~P15(x29493,x29494,x29495,x29496,x29491)
% 191.26/191.50 [2950]P45(x29502,x29503)+~E(x29501,x29502)+~P45(x29501,x29503)
% 191.26/191.50 [2951]P45(x29513,x29512)+~E(x29511,x29512)+~P45(x29513,x29511)
% 191.26/191.50 [2952]P19(x29522,x29523,x29524)+~E(x29521,x29522)+~P19(x29521,x29523,x29524)
% 191.26/191.50 [2953]P19(x29533,x29532,x29534)+~E(x29531,x29532)+~P19(x29533,x29531,x29534)
% 191.26/191.50 [2954]P19(x29543,x29544,x29542)+~E(x29541,x29542)+~P19(x29543,x29544,x29541)
% 191.26/191.50 [2955]P58(x29552,x29553)+~E(x29551,x29552)+~P58(x29551,x29553)
% 191.26/191.50 [2956]P58(x29563,x29562)+~E(x29561,x29562)+~P58(x29563,x29561)
% 191.26/191.50 [2957]~P115(x29571)+P115(x29572)+~E(x29571,x29572)
% 191.26/191.50 [2958]P23(x29582,x29583,x29584)+~E(x29581,x29582)+~P23(x29581,x29583,x29584)
% 191.26/191.50 [2959]P23(x29593,x29592,x29594)+~E(x29591,x29592)+~P23(x29593,x29591,x29594)
% 191.26/191.50 [2960]P23(x29603,x29604,x29602)+~E(x29601,x29602)+~P23(x29603,x29604,x29601)
% 191.26/191.50 [2961]P57(x29612,x29613)+~E(x29611,x29612)+~P57(x29611,x29613)
% 191.26/191.50 [2962]P57(x29623,x29622)+~E(x29621,x29622)+~P57(x29623,x29621)
% 191.26/191.50 [2963]~P117(x29631)+P117(x29632)+~E(x29631,x29632)
% 191.26/191.50 [2964]~P102(x29641)+P102(x29642)+~E(x29641,x29642)
% 191.26/191.50 [2965]P27(x29652,x29653,x29654,x29655,x29656,x29657)+~E(x29651,x29652)+~P27(x29651,x29653,x29654,x29655,x29656,x29657)
% 191.26/191.50 [2966]P27(x29663,x29662,x29664,x29665,x29666,x29667)+~E(x29661,x29662)+~P27(x29663,x29661,x29664,x29665,x29666,x29667)
% 191.26/191.50 [2967]P27(x29673,x29674,x29672,x29675,x29676,x29677)+~E(x29671,x29672)+~P27(x29673,x29674,x29671,x29675,x29676,x29677)
% 191.26/191.50 [2968]P27(x29683,x29684,x29685,x29682,x29686,x29687)+~E(x29681,x29682)+~P27(x29683,x29684,x29685,x29681,x29686,x29687)
% 191.26/191.50 [2969]P27(x29693,x29694,x29695,x29696,x29692,x29697)+~E(x29691,x29692)+~P27(x29693,x29694,x29695,x29696,x29691,x29697)
% 191.26/191.50 [2970]P27(x29703,x29704,x29705,x29706,x29707,x29702)+~E(x29701,x29702)+~P27(x29703,x29704,x29705,x29706,x29707,x29701)
% 191.26/191.50 [2971]P32(x29712,x29713)+~E(x29711,x29712)+~P32(x29711,x29713)
% 191.26/191.50 [2972]P32(x29723,x29722)+~E(x29721,x29722)+~P32(x29723,x29721)
% 191.26/191.50 [2973]~P107(x29731)+P107(x29732)+~E(x29731,x29732)
% 191.26/191.50 [2974]~P145(x29741)+P145(x29742)+~E(x29741,x29742)
% 191.26/191.50 [2975]P16(x29752,x29753,x29754,x29755)+~E(x29751,x29752)+~P16(x29751,x29753,x29754,x29755)
% 191.26/191.50 [2976]P16(x29763,x29762,x29764,x29765)+~E(x29761,x29762)+~P16(x29763,x29761,x29764,x29765)
% 191.26/191.50 [2977]P16(x29773,x29774,x29772,x29775)+~E(x29771,x29772)+~P16(x29773,x29774,x29771,x29775)
% 191.26/191.50 [2978]P16(x29783,x29784,x29785,x29782)+~E(x29781,x29782)+~P16(x29783,x29784,x29785,x29781)
% 191.26/191.50 [2979]~P128(x29791)+P128(x29792)+~E(x29791,x29792)
% 191.26/191.50 [2980]~P141(x29801)+P141(x29802)+~E(x29801,x29802)
% 191.26/191.50 [2981]~P42(x29811)+P42(x29812)+~E(x29811,x29812)
% 191.26/191.50 [2982]P61(x29822,x29823)+~E(x29821,x29822)+~P61(x29821,x29823)
% 191.26/191.50 [2983]P61(x29833,x29832)+~E(x29831,x29832)+~P61(x29833,x29831)
% 191.26/191.50 [2984]P56(x29842,x29843)+~E(x29841,x29842)+~P56(x29841,x29843)
% 191.26/191.50 [2985]P56(x29853,x29852)+~E(x29851,x29852)+~P56(x29853,x29851)
% 191.26/191.50 [2986]~P134(x29861)+P134(x29862)+~E(x29861,x29862)
% 191.26/191.50 [2987]P17(x29872,x29873,x29874,x29875,x29876,x29877)+~E(x29871,x29872)+~P17(x29871,x29873,x29874,x29875,x29876,x29877)
% 191.26/191.50 [2988]P17(x29883,x29882,x29884,x29885,x29886,x29887)+~E(x29881,x29882)+~P17(x29883,x29881,x29884,x29885,x29886,x29887)
% 191.26/191.50 [2989]P17(x29893,x29894,x29892,x29895,x29896,x29897)+~E(x29891,x29892)+~P17(x29893,x29894,x29891,x29895,x29896,x29897)
% 191.26/191.50 [2990]P17(x29903,x29904,x29905,x29902,x29906,x29907)+~E(x29901,x29902)+~P17(x29903,x29904,x29905,x29901,x29906,x29907)
% 191.26/191.50 [2991]P17(x29913,x29914,x29915,x29916,x29912,x29917)+~E(x29911,x29912)+~P17(x29913,x29914,x29915,x29916,x29911,x29917)
% 191.26/191.50 [2992]P17(x29923,x29924,x29925,x29926,x29927,x29922)+~E(x29921,x29922)+~P17(x29923,x29924,x29925,x29926,x29927,x29921)
% 191.26/191.50 [2993]~P118(x29931)+P118(x29932)+~E(x29931,x29932)
% 191.26/191.50 [2994]~P92(x29941)+P92(x29942)+~E(x29941,x29942)
% 191.26/191.50 [2995]~P139(x29951)+P139(x29952)+~E(x29951,x29952)
% 191.26/191.50 [2996]~P77(x29961)+P77(x29962)+~E(x29961,x29962)
% 191.26/191.50 [2997]P51(x29972,x29973)+~E(x29971,x29972)+~P51(x29971,x29973)
% 191.26/191.50 [2998]P51(x29983,x29982)+~E(x29981,x29982)+~P51(x29983,x29981)
% 191.26/191.50 [2999]~P108(x29991)+P108(x29992)+~E(x29991,x29992)
% 191.26/191.50 [3000]~P136(x30001)+P136(x30002)+~E(x30001,x30002)
% 191.26/191.50 [3001]~P93(x30011)+P93(x30012)+~E(x30011,x30012)
% 191.26/191.50 [3002]~P122(x30021)+P122(x30022)+~E(x30021,x30022)
% 191.26/191.50 [3003]~P82(x30031)+P82(x30032)+~E(x30031,x30032)
% 191.26/191.50 [3004]~P125(x30041)+P125(x30042)+~E(x30041,x30042)
% 191.26/191.50 [3005]~P100(x30051)+P100(x30052)+~E(x30051,x30052)
% 191.26/191.50 [3006]~P94(x30061)+P94(x30062)+~E(x30061,x30062)
% 191.26/191.50 [3007]~P126(x30071)+P126(x30072)+~E(x30071,x30072)
% 191.26/191.50 [3008]~P135(x30081)+P135(x30082)+~E(x30081,x30082)
% 191.26/191.50 [3009]P25(x30092,x30093,x30094,x30095)+~E(x30091,x30092)+~P25(x30091,x30093,x30094,x30095)
% 191.26/191.50 [3010]P25(x30103,x30102,x30104,x30105)+~E(x30101,x30102)+~P25(x30103,x30101,x30104,x30105)
% 191.26/191.50 [3011]P25(x30113,x30114,x30112,x30115)+~E(x30111,x30112)+~P25(x30113,x30114,x30111,x30115)
% 191.26/191.50 [3012]P25(x30123,x30124,x30125,x30122)+~E(x30121,x30122)+~P25(x30123,x30124,x30125,x30121)
% 191.26/191.50 [3013]~P123(x30131)+P123(x30132)+~E(x30131,x30132)
% 191.26/191.50 [3014]~P52(x30141)+P52(x30142)+~E(x30141,x30142)
% 191.26/191.50 [3015]P53(x30152,x30153)+~E(x30151,x30152)+~P53(x30151,x30153)
% 191.26/191.50 [3016]P53(x30163,x30162)+~E(x30161,x30162)+~P53(x30163,x30161)
% 191.26/191.50 [3017]P49(x30172,x30173,x30174,x30175)+~E(x30171,x30172)+~P49(x30171,x30173,x30174,x30175)
% 191.26/191.50 [3018]P49(x30183,x30182,x30184,x30185)+~E(x30181,x30182)+~P49(x30183,x30181,x30184,x30185)
% 191.26/191.50 [3019]P49(x30193,x30194,x30192,x30195)+~E(x30191,x30192)+~P49(x30193,x30194,x30191,x30195)
% 191.26/191.50 [3020]P49(x30203,x30204,x30205,x30202)+~E(x30201,x30202)+~P49(x30203,x30204,x30205,x30201)
% 191.26/191.50 [3021]P55(x30212,x30213,x30214)+~E(x30211,x30212)+~P55(x30211,x30213,x30214)
% 191.26/191.50 [3022]P55(x30223,x30222,x30224)+~E(x30221,x30222)+~P55(x30223,x30221,x30224)
% 191.26/191.50 [3023]P55(x30233,x30234,x30232)+~E(x30231,x30232)+~P55(x30233,x30234,x30231)
% 191.26/191.50 [3024]P54(x30242,x30243,x30244)+~E(x30241,x30242)+~P54(x30241,x30243,x30244)
% 191.26/191.50 [3025]P54(x30253,x30252,x30254)+~E(x30251,x30252)+~P54(x30253,x30251,x30254)
% 191.26/191.50 [3026]P54(x30263,x30264,x30262)+~E(x30261,x30262)+~P54(x30263,x30264,x30261)
% 191.26/191.50
% 191.26/191.50 %-------------------------------------------
% 191.35/191.53 cnf(10383,plain,
% 191.35/191.53 (~E(f329(a117,x103831),x103831)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10393,plain,
% 191.35/191.53 (~E(f329(a117,x103931),x103931)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10406,plain,
% 191.35/191.53 (~E(f329(a117,x104061),x104061)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10411,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x104111),f118(x104111)),x104112))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10414,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x104141),f118(x104141)),x104142))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10417,plain,
% 191.35/191.53 (~E(f329(a117,x104171),x104171)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10420,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x104201),f2(a908)))),
% 191.35/191.53 inference(rename_variables,[],[4642])).
% 191.35/191.53 cnf(10423,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x104231),f2(a908)))),
% 191.35/191.53 inference(rename_variables,[],[4642])).
% 191.35/191.53 cnf(10436,plain,
% 191.35/191.53 (~P1(f329(f191(f916(x104361,a903)),x104362))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,3216,3258,3323,3254,3266,3408,4642,10420,4639,4597,4647,10411,4645,3400,4631,4664,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144])).
% 191.35/191.53 cnf(10440,plain,
% 191.35/191.53 (~P1(f329(f329(f240(a908),f329(a117,x104401)),x104401))),
% 191.35/191.53 inference(rename_variables,[],[4648])).
% 191.35/191.53 cnf(10443,plain,
% 191.35/191.53 (~E(f329(f329(f154(x104431),x104432),x104433),x104433)),
% 191.35/191.53 inference(rename_variables,[],[4602])).
% 191.35/191.53 cnf(10449,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x104491),f2(a908)))),
% 191.35/191.53 inference(rename_variables,[],[4642])).
% 191.35/191.53 cnf(10451,plain,
% 191.35/191.53 (E(f46(a908,f329(f287(x104511,x104511),f268(x104511,f329(f329(f83(a908),x104512),x104513))),x104512),f2(a908))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,3216,3384,3258,3323,3254,3282,3266,4602,3408,4642,10420,10423,4639,4597,4647,10411,4648,4645,3400,4631,4664,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170])).
% 191.35/191.53 cnf(10452,plain,
% 191.35/191.53 (E(f329(f287(x104521,x104521),f268(x104521,x104522)),x104522)),
% 191.35/191.53 inference(rename_variables,[],[3384])).
% 191.35/191.53 cnf(10455,plain,
% 191.35/191.53 (E(f329(f287(x104551,x104551),f268(x104551,x104552)),x104552)),
% 191.35/191.53 inference(rename_variables,[],[3384])).
% 191.35/191.53 cnf(10460,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x104601),x104601))),
% 191.35/191.53 inference(rename_variables,[],[4638])).
% 191.35/191.53 cnf(10465,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x104651),x104652)),x104652))),
% 191.35/191.53 inference(rename_variables,[],[4662])).
% 191.35/191.53 cnf(10468,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x104681),x104682)),x104682))),
% 191.35/191.53 inference(rename_variables,[],[4662])).
% 191.35/191.53 cnf(10475,plain,
% 191.35/191.53 (~E(x104751,f329(a117,x104751))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,3216,3384,10452,3258,3323,3254,3282,3266,4602,3493,3408,4642,10420,10423,4639,4597,4647,10411,4638,4648,4242,4645,3400,4631,4664,4662,10465,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285])).
% 191.35/191.53 cnf(10489,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x104891),x104891))),
% 191.35/191.53 inference(rename_variables,[],[4638])).
% 191.35/191.53 cnf(10492,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),f46(a908,x104921,x104922)),x104921))),
% 191.35/191.53 inference(rename_variables,[],[3881])).
% 191.35/191.53 cnf(10513,plain,
% 191.35/191.53 (E(f329(f36(a908),f329(f285(a908),x105131)),x105131)),
% 191.35/191.53 inference(rename_variables,[],[3318])).
% 191.35/191.53 cnf(10521,plain,
% 191.35/191.53 (~E(f329(a117,x105211),x105211)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10524,plain,
% 191.35/191.53 (~E(f329(a117,x105241),x105241)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10527,plain,
% 191.35/191.53 (~E(f329(a117,x105271),x105271)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10529,plain,
% 191.35/191.53 (P1(f329(a196,a102))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,3216,3384,10452,3258,3323,3254,3282,3266,3354,4602,3318,4668,3339,3493,3408,4642,10420,10423,4008,3428,4639,4597,4647,10411,4638,10460,10489,3518,3944,3881,4648,10440,4242,4645,4630,3400,4631,4664,4662,10465,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428])).
% 191.35/191.53 cnf(10532,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x105321),f329(a117,x105321)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(10541,plain,
% 191.35/191.53 (P1(f329(f329(f197(a25),x105411),x105411))),
% 191.35/191.53 inference(rename_variables,[],[3425])).
% 191.35/191.53 cnf(10548,plain,
% 191.35/191.53 (E(f329(f287(x105481,x105481),f268(x105481,x105482)),x105482)),
% 191.35/191.53 inference(rename_variables,[],[3384])).
% 191.35/191.53 cnf(10551,plain,
% 191.35/191.53 (E(f329(f287(x105511,x105511),f268(x105511,x105512)),x105512)),
% 191.35/191.53 inference(rename_variables,[],[3384])).
% 191.35/191.53 cnf(10574,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x105741),f118(x105741)),x105742))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10580,plain,
% 191.35/191.53 (E(f329(f329(f82(a908),x105801),f697(x105801,x105801)),x105801)),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,3216,3384,10452,10455,10548,3258,3323,3254,3282,3266,3354,4602,3318,4201,4668,3339,3493,10532,3408,4642,10420,10423,3863,4008,3453,3454,3428,4639,4597,4647,10411,10414,4151,3425,3426,4638,10460,10489,3518,3944,3881,10492,4648,10440,4242,4645,4630,3400,4631,4664,3904,4662,10465,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570])).
% 191.35/191.53 cnf(10603,plain,
% 191.35/191.53 (~E(f329(f329(f154(x106031),x106032),x106033),x106033)),
% 191.35/191.53 inference(rename_variables,[],[4602])).
% 191.35/191.53 cnf(10606,plain,
% 191.35/191.53 (~E(f329(a26,x106061),f32(x106062,x106063))),
% 191.35/191.53 inference(rename_variables,[],[4592])).
% 191.35/191.53 cnf(10619,plain,
% 191.35/191.53 (P1(f329(f329(f240(a1),x106191),x106191))),
% 191.35/191.53 inference(rename_variables,[],[3427])).
% 191.35/191.53 cnf(10622,plain,
% 191.35/191.53 (~E(f329(a117,x106221),x106221)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10625,plain,
% 191.35/191.53 (~P1(f329(f329(f191(f916(x106251,f916(x106252,a903))),x106253),x106254))),
% 191.35/191.53 inference(rename_variables,[],[4666])).
% 191.35/191.53 cnf(10632,plain,
% 191.35/191.53 (P1(f329(f329(f197(a25),x106321),x106321))),
% 191.35/191.53 inference(rename_variables,[],[3425])).
% 191.35/191.53 cnf(10645,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x106451),f329(a117,x106451)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(10666,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x106661),f118(x106661)),x106662))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10685,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x106851),f118(x106851)),x106852))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10692,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x106921),f118(x106921)),x106922))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10702,plain,
% 191.35/191.53 (E(f329(f329(f249(a908),f329(f108(a908),a102)),x107021),f329(f329(f249(a908),f2(a908)),x107021))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,4592,3216,3384,10452,10455,10548,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,4201,4668,3339,3787,3493,10532,10645,3408,4642,10420,10423,10449,4655,3863,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,4151,3425,10541,3426,3427,4638,10460,10489,3518,3944,3881,10492,4648,10440,4242,4645,4630,3400,3405,4632,4631,4664,4666,3904,4662,10465,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942])).
% 191.35/191.53 cnf(10705,plain,
% 191.35/191.53 (~E(f329(a26,x107051),f32(x107052,x107053))),
% 191.35/191.53 inference(rename_variables,[],[4592])).
% 191.35/191.53 cnf(10710,plain,
% 191.35/191.53 (P1(f329(f329(f331(x107101),x107102),f247(f916(x107101,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(10717,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x107171),f118(x107171)),x107172))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10722,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x107221),f329(a117,x107221)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(10725,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x107251),f118(x107251)),x107252))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10728,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x107281),f118(x107281)),x107282))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10731,plain,
% 191.35/191.53 (~P1(f329(f63(x107311,x107312,f191(f916(x107311,a903))),x107313))),
% 191.35/191.53 inference(rename_variables,[],[4661])).
% 191.35/191.53 cnf(10734,plain,
% 191.35/191.53 (~P1(f329(f63(x107341,x107342,f191(f916(x107341,a903))),x107343))),
% 191.35/191.53 inference(rename_variables,[],[4661])).
% 191.35/191.53 cnf(10737,plain,
% 191.35/191.53 (~P1(f329(f329(f191(f916(x107371,f916(x107372,a903))),x107373),x107374))),
% 191.35/191.53 inference(rename_variables,[],[4666])).
% 191.35/191.53 cnf(10742,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x107421),f118(x107421)),x107422))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10752,plain,
% 191.35/191.53 (~E(f329(f171(x107521),f329(a117,f329(f329(f137(x107521),f329(f171(x107521),x107522)),f329(f329(f154(x107521),x107523),f118(x107521))))),f329(f329(f154(x107521),x107523),x107522))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,4201,4668,3339,3787,3493,10532,10645,10722,3408,4642,10420,10423,10449,4655,3863,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,3426,3427,4638,10460,10489,3578,3518,3944,3881,10492,4648,10440,4242,4645,4630,3400,3405,4632,4631,4661,10731,4664,4666,10625,3904,4662,10465,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123])).
% 191.35/191.53 cnf(10753,plain,
% 191.35/191.53 (~E(f329(a117,x107531),x107531)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(10771,plain,
% 191.35/191.53 (P1(f329(f329(f241(a104),f329(a3,x107711)),f329(a3,f329(a117,x107711))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,4201,4668,3339,3787,3493,10532,10645,10722,3876,3408,4642,10420,10423,10449,4655,3863,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,3426,3427,4638,10460,10489,3578,3518,3944,3881,10492,4648,10440,4242,4645,4630,3400,3405,4632,4631,4661,10731,4664,4666,10625,3904,4662,10465,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206])).
% 191.35/191.53 cnf(10778,plain,
% 191.35/191.53 (P1(f329(f329(f197(a25),x107781),x107781))),
% 191.35/191.53 inference(rename_variables,[],[3425])).
% 191.35/191.53 cnf(10781,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x107811),f329(f329(f83(a908),x107811),x107811)))),
% 191.35/191.53 inference(rename_variables,[],[3688])).
% 191.35/191.53 cnf(10783,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x107831),f329(f329(f83(a908),f329(a117,x107831)),f329(a117,x107831))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,4201,4668,3339,3787,3493,10532,10645,10722,3876,3408,4642,10420,10423,10449,4655,3863,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,10632,3426,3427,4638,10460,10489,3578,3518,3944,3881,10492,4648,10440,4242,4645,4630,3400,3405,4632,4631,4661,10731,3688,10781,4664,4666,10625,3904,4662,10465,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230])).
% 191.35/191.53 cnf(10784,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x107841),f329(f329(f83(a908),x107841),x107841)))),
% 191.35/191.53 inference(rename_variables,[],[3688])).
% 191.35/191.53 cnf(10787,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x107871),f329(a117,f329(f329(f82(a908),x107872),x107871))))),
% 191.35/191.53 inference(rename_variables,[],[3874])).
% 191.35/191.53 cnf(10792,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x107921),f329(a117,x107921)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(10795,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x107951),f329(a117,x107951)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(10798,plain,
% 191.35/191.53 (P1(f329(f329(f331(x107981),x107982),f247(f916(x107981,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(10817,plain,
% 191.35/191.53 (~P1(f329(f329(f240(a908),f329(a117,x108171)),x108171))),
% 191.35/191.53 inference(rename_variables,[],[4648])).
% 191.35/191.53 cnf(10820,plain,
% 191.35/191.53 (~P1(f329(f329(f240(a908),f329(a117,x108201)),x108201))),
% 191.35/191.53 inference(rename_variables,[],[4648])).
% 191.35/191.53 cnf(10823,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x108231),x108232)),x108232))),
% 191.35/191.53 inference(rename_variables,[],[4662])).
% 191.35/191.53 cnf(10826,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x108261),x108262)),x108262))),
% 191.35/191.53 inference(rename_variables,[],[4662])).
% 191.35/191.53 cnf(10829,plain,
% 191.35/191.53 (P1(f329(f247(f916(x108291,a903)),x108292))),
% 191.35/191.53 inference(rename_variables,[],[3486])).
% 191.35/191.53 cnf(10832,plain,
% 191.35/191.53 (E(f329(f36(a908),f329(f285(a908),x108321)),x108321)),
% 191.35/191.53 inference(rename_variables,[],[3318])).
% 191.35/191.53 cnf(10835,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x108351),f329(a117,x108351)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(10842,plain,
% 191.35/191.53 (P1(f329(f329(f197(a25),x108421),x108421))),
% 191.35/191.53 inference(rename_variables,[],[3425])).
% 191.35/191.53 cnf(10847,plain,
% 191.35/191.53 (P1(f329(f329(f240(a1),x108471),x108471))),
% 191.35/191.53 inference(rename_variables,[],[3427])).
% 191.35/191.53 cnf(10856,plain,
% 191.35/191.53 (E(f329(f287(x108561,x108561),f268(x108561,x108562)),x108562)),
% 191.35/191.53 inference(rename_variables,[],[3384])).
% 191.35/191.53 cnf(10859,plain,
% 191.35/191.53 (P1(f329(f247(f916(x108591,a903)),x108592))),
% 191.35/191.53 inference(rename_variables,[],[3486])).
% 191.35/191.53 cnf(10862,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),f2(a908)),x108621))),
% 191.35/191.53 inference(rename_variables,[],[3446])).
% 191.35/191.53 cnf(10864,plain,
% 191.35/191.53 (P37(x108641,f329(f240(f916(x108642,a903)),f191(f916(x108642,a903))),x108643)),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,10551,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,10513,4201,4668,3339,3787,3724,3493,10532,10645,10722,10792,10795,3876,3408,4642,10420,10423,10449,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,10632,10778,3426,3427,10619,4638,10460,10489,3578,10710,3486,10829,3518,3944,3881,10492,4648,10440,10817,3446,4242,4645,4630,3400,3405,4632,4631,4661,10731,4667,3873,3688,10781,4664,4666,10625,3904,4662,10465,10468,10823,3874,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431])).
% 191.35/191.53 cnf(10865,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x108651,a903)),f191(f916(x108651,a903))),x108652))),
% 191.35/191.53 inference(rename_variables,[],[3873])).
% 191.35/191.53 cnf(10868,plain,
% 191.35/191.53 (P1(f329(f247(f916(x108681,a903)),x108682))),
% 191.35/191.53 inference(rename_variables,[],[3486])).
% 191.35/191.53 cnf(10871,plain,
% 191.35/191.53 (P1(f329(f247(f916(x108711,a903)),x108712))),
% 191.35/191.53 inference(rename_variables,[],[3486])).
% 191.35/191.53 cnf(10873,plain,
% 191.35/191.53 (~P1(f329(f329(f240(a908),f329(f329(f83(a908),f329(a117,x108731)),f329(a117,x108731))),x108731))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,10551,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,10513,4201,4668,3339,3787,3724,3493,10532,10645,10722,10792,10795,3876,3408,4642,10420,10423,10449,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,10632,10778,3426,3427,10619,4638,10460,10489,3578,10710,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,3446,4242,4645,4630,3400,3405,4632,4631,4661,10731,4667,3873,3688,10781,10784,4664,4666,10625,3904,4662,10465,10468,10823,3874,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440])).
% 191.35/191.53 cnf(10874,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x108741),f329(f329(f83(a908),x108741),x108741)))),
% 191.35/191.53 inference(rename_variables,[],[3688])).
% 191.35/191.53 cnf(10878,plain,
% 191.35/191.53 (E(f329(f171(x108781),f176(x108782,f329(f329(f137(x108781),f329(f171(x108781),x108783)),f329(f329(f154(x108781),x108784),f118(x108781))),f118(x108782))),f329(f329(f154(x108781),x108784),x108783))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,10513,4201,4668,3339,3787,3724,3493,10532,10645,10722,10792,10795,3876,3408,4642,10420,10423,10449,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,10632,10778,3426,3427,10619,4638,10460,10489,3578,10710,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,3446,4242,4645,4630,3400,3405,4632,4631,4661,10731,4667,3873,3688,10781,10784,4664,4666,10625,3904,4662,10465,10468,10823,3874,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479])).
% 191.35/191.53 cnf(10883,plain,
% 191.35/191.53 (~P1(f329(f329(f240(a908),f329(a117,f329(a117,f329(f329(f82(a908),x108831),x108832)))),f329(a117,x108832)))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,10513,4201,4668,3339,3787,3724,3493,10532,10645,10722,10792,10795,10835,3876,3408,4642,10420,10423,10449,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,10632,10778,3426,3427,10619,4638,10460,10489,3578,10710,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,3446,4242,4645,4630,3400,3405,4632,4631,4661,10731,4667,3873,3688,10781,10784,4664,4666,10625,3904,4662,10465,10468,10823,3874,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483])).
% 191.35/191.53 cnf(10891,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a104),f329(a3,x108911)),f329(a3,f2(a908))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,10513,4201,4668,3339,3787,3724,3493,10532,10645,10722,10792,10795,10835,3876,3408,4642,10420,10423,10449,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,4151,3425,10541,10632,10778,3426,3427,10619,4638,10460,10489,3578,10710,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,4242,4645,4630,3400,3405,4632,4631,4661,10731,4667,3873,3688,10781,10784,4664,4666,10625,3904,4662,10465,10468,10823,3874,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488])).
% 191.35/191.53 cnf(10914,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x109141),x109141))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(10925,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x109251),f118(x109251)),x109252))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(10934,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x109341),f329(a117,x109341)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(10936,plain,
% 191.35/191.53 (P1(f329(f329(f241(a1),f329(f329(f23(a1),x109361),f80(a1))),x109361))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,10513,4201,4059,4668,3339,3787,3724,3493,10532,10645,10722,10792,10795,10835,3876,3408,4642,10420,10423,10449,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4151,3425,10541,10632,10778,3426,10914,3427,10619,10847,4638,10460,10489,3578,10710,4651,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,4242,4645,4630,4633,3400,3405,4632,4631,4661,10731,4667,3873,3688,10781,10784,4664,4666,10625,3904,4662,10465,10468,10823,3874,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750])).
% 191.35/191.53 cnf(10937,plain,
% 191.35/191.53 (P1(f329(f329(f240(a1),x109371),x109371))),
% 191.35/191.53 inference(rename_variables,[],[3427])).
% 191.35/191.53 cnf(10942,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x109421),f2(a908)))),
% 191.35/191.53 inference(rename_variables,[],[4642])).
% 191.35/191.53 cnf(10955,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x109551),f2(a908)))),
% 191.35/191.53 inference(rename_variables,[],[4642])).
% 191.35/191.53 cnf(10958,plain,
% 191.35/191.53 (~P1(f329(f329(f241(f916(x109581,a903)),x109582),f191(f916(x109581,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4659])).
% 191.35/191.53 cnf(10961,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x109611),x109611))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(10964,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x109641),x109641))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(10978,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x109781),f329(f329(f23(a908),x109781),x109782)))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,4592,10606,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3354,4602,10443,3318,10513,4201,4059,4668,3339,3787,3724,3493,10532,10645,10722,10792,10795,10835,3876,3408,4642,10420,10423,10449,10942,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,3427,10619,10847,4638,10460,10489,3578,10710,4651,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,4242,4645,4630,4633,3400,3405,4632,4631,4661,10731,4667,3873,3688,10781,10784,4664,4666,10625,3904,4662,10465,10468,10823,3874,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911])).
% 191.35/191.53 cnf(10979,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x109791),x109791))),
% 191.35/191.53 inference(rename_variables,[],[4638])).
% 191.35/191.53 cnf(10988,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x109881),x109882),f191(f916(x109881,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(10995,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x109951),x109951))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(10998,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x109981),x109982),f191(f916(x109981,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11001,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x110011,a903)),f329(f312(x110012,x110011,x110013),f329(f313(x110012,x110011,x110013),x110014))),x110014))),
% 191.35/191.53 inference(rename_variables,[],[4297])).
% 191.35/191.53 cnf(11008,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x110081,a903)),f329(f175(x110081),f329(f139(x110081,x110082),x110083))),f329(f175(x110081),x110083)))),
% 191.35/191.53 inference(rename_variables,[],[4068])).
% 191.35/191.53 cnf(11011,plain,
% 191.35/191.53 (E(f329(f312(x110111,x110111,f5(x110111)),x110112),x110112)),
% 191.35/191.53 inference(rename_variables,[],[3482])).
% 191.35/191.53 cnf(11014,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),f2(a908)),x110141))),
% 191.35/191.53 inference(rename_variables,[],[3446])).
% 191.35/191.53 cnf(11017,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x110171),x110171))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(11022,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x110221),x110221))),
% 191.35/191.53 inference(rename_variables,[],[4638])).
% 191.35/191.53 cnf(11031,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x110311),x110311))),
% 191.35/191.53 inference(rename_variables,[],[4638])).
% 191.35/191.53 cnf(11042,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x110421),f329(f329(f83(a908),x110421),x110421)))),
% 191.35/191.53 inference(rename_variables,[],[3688])).
% 191.35/191.53 cnf(11048,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x110481),f329(a117,f329(f329(f82(a908),x110482),x110481))))),
% 191.35/191.53 inference(rename_variables,[],[3874])).
% 191.35/191.53 cnf(11055,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x110551),x110551))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(11058,plain,
% 191.35/191.53 (P1(f329(f329(f240(a1),x110581),x110581))),
% 191.35/191.53 inference(rename_variables,[],[3427])).
% 191.35/191.53 cnf(11061,plain,
% 191.35/191.53 (~E(f329(a117,x110611),x110611)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(11065,plain,
% 191.35/191.53 (P1(f329(f329(f331(f915(x110651,x110651)),x110652),f309(x110651,f247(f916(f915(x110651,x110651),a903)))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,4651,10988,10998,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,4242,4645,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573])).
% 191.35/191.53 cnf(11066,plain,
% 191.35/191.53 (P1(f329(f329(f331(x110661),x110662),f247(f916(x110661,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(11071,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x110711),f2(a908)))),
% 191.35/191.53 inference(rename_variables,[],[4642])).
% 191.35/191.53 cnf(11073,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x110731,a903)),x110732),f38(f916(x110731,a903),f329(f310(x110731),x110732))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,4651,10988,10998,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,4242,4645,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627])).
% 191.35/191.53 cnf(11082,plain,
% 191.35/191.53 (~E(f329(a117,x110821),f2(a908))),
% 191.35/191.53 inference(rename_variables,[],[4589])).
% 191.35/191.53 cnf(11089,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),f2(a908)),x110891))),
% 191.35/191.53 inference(rename_variables,[],[3446])).
% 191.35/191.53 cnf(11096,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x110961),x110961))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(11105,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x111051),x111052),f191(f916(x111051,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11107,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x111071,a903)),f39(f916(x111071,a903),f329(f310(x111071),x111072))),x111072))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,4589,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,4651,10988,10998,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901])).
% 191.35/191.53 cnf(11109,plain,
% 191.35/191.53 (E(f329(f329(f106(f916(x111091,a903)),f329(f329(f106(f916(x111091,a903)),x111092),f329(f81(f916(x111091,a903)),x111093))),x111093),f191(f916(x111091,a903)))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,4589,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,4651,10988,10998,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903])).
% 191.35/191.53 cnf(11112,plain,
% 191.35/191.53 (P1(f329(f329(f331(f909(x111121)),x111122),f164(x111121,f247(f916(x111121,a903)))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,4589,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,4651,10988,10998,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913])).
% 191.35/191.53 cnf(11113,plain,
% 191.35/191.53 (P1(f329(f329(f331(x111131),x111132),f247(f916(x111131,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(11116,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x111161),f909(x111161))),f329(f329(f257(f909(x111161),f909(x111161)),x111162),f118(x111161))),f148(x111161,x111163)))),
% 191.35/191.53 inference(rename_variables,[],[4668])).
% 191.35/191.53 cnf(11122,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(x111221,x111221)),x111222),f268(x111221,f191(f916(x111221,a903)))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,4589,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,4651,10988,10998,11105,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052])).
% 191.35/191.53 cnf(11123,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x111231),x111232),f191(f916(x111231,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11125,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x111251),x111252),f329(f313(x111251,x111253,x111254),f191(f916(x111253,a903)))))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,4589,3216,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,4651,10988,10998,11105,11123,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084])).
% 191.35/191.53 cnf(11126,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x111261),x111262),f191(f916(x111261,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11129,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x111291,a903)),x111292),f329(f329(f311(x111291),x111293),x111292)))),
% 191.35/191.53 inference(rename_variables,[],[3871])).
% 191.35/191.53 cnf(11132,plain,
% 191.35/191.53 (P1(f329(f329(f240(a908),x111321),x111321))),
% 191.35/191.53 inference(rename_variables,[],[3426])).
% 191.35/191.53 cnf(11135,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x111351,a903)),x111352),f329(f329(f311(x111351),x111353),x111352)))),
% 191.35/191.53 inference(rename_variables,[],[3871])).
% 191.35/191.53 cnf(11138,plain,
% 191.35/191.53 (E(f329(f312(x111381,x111381,f5(x111381)),x111382),x111382)),
% 191.35/191.53 inference(rename_variables,[],[3482])).
% 191.35/191.53 cnf(11140,plain,
% 191.35/191.53 (P40(x111401,x111402,x111403,f119(x111401,f118(x111401)),f118(x111402))),
% 191.35/191.53 inference(scs_inference,[],[4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,4589,3216,3268,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,11011,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,4651,10988,10998,11105,11123,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,3871,11129,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199])).
% 191.35/191.53 cnf(11151,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x111511,a903)),x111512),f329(f329(f311(x111511),x111513),x111512)))),
% 191.35/191.53 inference(rename_variables,[],[3871])).
% 191.35/191.53 cnf(11160,plain,
% 191.35/191.53 (~E(f329(a26,x111601),f32(x111602,x111603))),
% 191.35/191.53 inference(rename_variables,[],[4592])).
% 191.35/191.53 cnf(11163,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x111631),f118(x111631)),x111632))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(11167,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),f329(a117,x111671)),x111671)),f309(a908,a319)))),
% 191.35/191.53 inference(scs_inference,[],[4665,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,4592,10606,10705,4589,3216,3268,3384,10452,10455,10548,10551,3361,3258,3323,3254,3282,3266,3895,3482,11011,3354,4602,10443,3318,10513,4201,4059,4668,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,3788,4151,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,4651,10988,10998,11105,11123,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,4026,3871,11129,11135,3873,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521])).
% 191.35/191.53 cnf(11176,plain,
% 191.35/191.53 (P1(f329(f329(f241(a908),x111761),f329(a117,x111761)))),
% 191.35/191.53 inference(rename_variables,[],[3493])).
% 191.35/191.53 cnf(11186,plain,
% 191.35/191.53 (~E(f329(f312(x111861,f916(x111861,a903),x111862),x111863),f329(f310(x111861),x111863))),
% 191.35/191.53 inference(rename_variables,[],[4649])).
% 191.35/191.53 cnf(11189,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x111891),x111892),f191(f916(x111891,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11192,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x111921),x111922),f191(f916(x111921,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11195,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(x111951,x111951)),f329(f329(f257(x111951,x111951),x111952),x111953)),f156(x111951,f118(f916(x111951,a908)))))),
% 191.35/191.53 inference(rename_variables,[],[4667])).
% 191.35/191.53 cnf(11198,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(x111981,x111981)),f329(f329(f257(x111981,x111981),x111982),x111983)),f156(x111981,f118(f916(x111981,a908)))))),
% 191.35/191.53 inference(rename_variables,[],[4667])).
% 191.35/191.53 cnf(11203,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x112031),x112032),f191(f916(x112031,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11206,plain,
% 191.35/191.53 (P1(f329(f329(f331(f915(x112061,x112061)),f329(f329(f257(x112061,x112061),x112062),x112062)),f309(x112061,x112063)))),
% 191.35/191.53 inference(rename_variables,[],[4059])).
% 191.35/191.53 cnf(11209,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x112091,a903)),f329(f175(x112091),f179(x112091,x112092,x112093))),f329(f175(x112091),x112092)))),
% 191.35/191.53 inference(rename_variables,[],[4117])).
% 191.35/191.53 cnf(11212,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x112121,a903)),x112122),f247(f916(x112121,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3806])).
% 191.35/191.53 cnf(11228,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x112281,a903)),f191(f916(x112281,a903))),x112282))),
% 191.35/191.53 inference(rename_variables,[],[3873])).
% 191.35/191.53 cnf(11239,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x112391),f909(x112391))),f329(f329(f257(f909(x112391),f909(x112391)),x112392),f118(x112391))),f150(x112391,x112393)))),
% 191.35/191.53 inference(rename_variables,[],[4669])).
% 191.35/191.53 cnf(11250,plain,
% 191.35/191.53 (~E(f329(a117,x112501),x112501)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(11253,plain,
% 191.35/191.53 (~E(f329(a117,x112531),x112531)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(11257,plain,
% 191.35/191.53 (P1(f329(f329(f331(f915(f909(x112571),f909(x112571))),f329(f329(f257(f909(x112571),f909(x112571)),f118(x112571)),f118(x112571))),f329(f329(f291(f909(x112571),f909(x112571),f909(x112571)),f161(x112571,x112572)),f309(f909(x112571),f161(x112571,x112572)))))),
% 191.35/191.53 inference(scs_inference,[],[4665,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,3318,10513,4201,4059,11206,4668,11116,4669,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,4651,10988,10998,11105,11123,11126,11189,11192,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759])).
% 191.35/191.53 cnf(11262,plain,
% 191.35/191.53 (E(f329(x112621,f329(f94(x112622,x112623,f247(f916(x112622,a903)),x112621),f329(x112621,x112624))),f329(x112621,x112624))),
% 191.35/191.53 inference(scs_inference,[],[4665,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,3318,10513,4201,4059,11206,4668,11116,4669,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,4651,10988,10998,11105,11123,11126,11189,11192,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772])).
% 191.35/191.53 cnf(11265,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x112651,a903)),x112652),x112652))),
% 191.35/191.53 inference(rename_variables,[],[3720])).
% 191.35/191.53 cnf(11272,plain,
% 191.35/191.53 (P30(x112721,x112721,f5(x112721),x112722)),
% 191.35/191.53 inference(rename_variables,[],[3662])).
% 191.35/191.53 cnf(11277,plain,
% 191.35/191.53 (~E(f329(f312(x112771,f916(x112771,a903),x112772),x112773),f329(f310(x112771),x112773))),
% 191.35/191.53 inference(rename_variables,[],[4649])).
% 191.35/191.53 cnf(11282,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x112821,a903)),x112822),f247(f916(x112821,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3806])).
% 191.35/191.53 cnf(11296,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x112961),x112962),f191(f916(x112961,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11299,plain,
% 191.35/191.53 (~P1(f329(f329(f240(a908),f329(a117,x112991)),x112991))),
% 191.35/191.53 inference(rename_variables,[],[4648])).
% 191.35/191.53 cnf(11304,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x113041),x113042),f191(f916(x113041,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11314,plain,
% 191.35/191.53 (~P1(f329(f329(f331(a908),f329(a117,f329(f145(a908,a908,f82(a908),f2(a908)),x113141))),f329(f175(a908),x113141)))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,4669,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,11212,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979])).
% 191.35/191.53 cnf(11315,plain,
% 191.35/191.53 (~P1(f329(f329(f240(a908),f329(a117,x113151)),x113151))),
% 191.35/191.53 inference(rename_variables,[],[4648])).
% 191.35/191.53 cnf(11318,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x113181),x113182),f191(f916(x113181,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11326,plain,
% 191.35/191.53 (E(f329(f139(x113261,f247(f916(x113262,a903))),f770(x113263,x113264,f329(f329(f154(x113261),x113264),x113263),f247(f916(x113262,a903)),x113261)),x113263)),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,4669,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,11212,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062])).
% 191.35/191.53 cnf(11331,plain,
% 191.35/191.53 (P1(f329(f329(f331(f915(x113311,x113311)),f329(f329(f257(x113311,x113311),x113312),x113312)),f309(x113311,x113313)))),
% 191.35/191.53 inference(rename_variables,[],[4059])).
% 191.35/191.53 cnf(11334,plain,
% 191.35/191.53 (P1(f329(f329(f331(x113341),x113342),f247(f916(x113341,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(11337,plain,
% 191.35/191.53 (P1(f329(f329(f331(x113371),x113372),f247(f916(x113371,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(11344,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x113441),f909(x113441))),f329(f329(f257(f909(x113441),f909(x113441)),x113442),f118(x113441))),f148(x113441,x113443)))),
% 191.35/191.53 inference(rename_variables,[],[4668])).
% 191.35/191.53 cnf(11347,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x113471),f909(x113471))),f329(f329(f257(f909(x113471),f909(x113471)),x113472),f118(x113471))),f150(x113471,x113473)))),
% 191.35/191.53 inference(rename_variables,[],[4669])).
% 191.35/191.53 cnf(11350,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x113501),f909(x113501))),f329(f329(f257(f909(x113501),f909(x113501)),x113502),f118(x113501))),f160(x113501,x113503)))),
% 191.35/191.53 inference(rename_variables,[],[4670])).
% 191.35/191.53 cnf(11352,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x113521),f909(x113521))),f329(f329(f257(f909(x113521),f909(x113521)),f118(x113521)),x113522)),f329(f289(f909(x113521),f909(x113521)),f148(x113521,x113523))))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,11212,4659,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201])).
% 191.35/191.53 cnf(11355,plain,
% 191.35/191.53 (~P1(f329(f329(f241(f916(x113551,a903)),x113552),f191(f916(x113551,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4659])).
% 191.35/191.53 cnf(11357,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x113571),x113572),f329(f312(x113573,x113571,x113574),f191(f916(x113573,a903)))))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,11212,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226])).
% 191.35/191.53 cnf(11358,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x113581),x113582),f191(f916(x113581,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11364,plain,
% 191.35/191.53 (~P48(f32(f329(a26,x113641),x113642),x113643,f2(a908),x113644)),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,11212,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256])).
% 191.35/191.53 cnf(11370,plain,
% 191.35/191.53 (~P48(f32(x113701,f32(x113702,f32(f32(f329(a26,x113703),x113704),x113705))),x113706,f2(a908),x113707)),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,11212,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259])).
% 191.35/191.53 cnf(11372,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x113721,a903)),x113722),f329(f329(f115(f916(x113721,a903)),x113723),f247(f916(x113721,a903)))))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,4163,4068,11008,4117,3788,4151,3806,11212,11282,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261])).
% 191.35/191.53 cnf(11373,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x113731,a903)),x113732),f247(f916(x113731,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3806])).
% 191.35/191.53 cnf(11376,plain,
% 191.35/191.53 (~P1(f329(f329(f191(f916(x113761,f916(x113762,a903))),x113763),x113764))),
% 191.35/191.53 inference(rename_variables,[],[4666])).
% 191.35/191.53 cnf(11380,plain,
% 191.35/191.53 (~P1(f329(f329(f260(x113801,x113802,a903,f329(f175(x113803),f118(x113803))),x113804),x113805))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,4026,3871,11129,11135,3720,3873,10865,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370])).
% 191.35/191.53 cnf(11381,plain,
% 191.35/191.53 (~P1(f329(f329(f175(x113811),f118(x113811)),x113812))),
% 191.35/191.53 inference(rename_variables,[],[4647])).
% 191.35/191.53 cnf(11386,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x113861),x113862),f191(f916(x113861,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11389,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(x113891,x113891)),f329(f329(f257(x113891,x113891),x113892),x113893)),f156(x113891,f118(f916(x113891,a908)))))),
% 191.35/191.53 inference(rename_variables,[],[4667])).
% 191.35/191.53 cnf(11392,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x113921,a903)),x113922),x113922))),
% 191.35/191.53 inference(rename_variables,[],[3720])).
% 191.35/191.53 cnf(11395,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x113951),x113952),f191(f916(x113951,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11397,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x113971,a903)),f329(f288(x113972,x113971,f191(f916(f915(x113972,x113971),a903))),x113973)),x113974))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435])).
% 191.35/191.53 cnf(11398,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x113981,a903)),f191(f916(x113981,a903))),x113982))),
% 191.35/191.53 inference(rename_variables,[],[3873])).
% 191.35/191.53 cnf(11401,plain,
% 191.35/191.53 (P1(f329(f329(f331(f915(x114011,x114011)),f329(f329(f257(x114011,x114011),x114012),x114012)),f309(x114011,x114013)))),
% 191.35/191.53 inference(rename_variables,[],[4059])).
% 191.35/191.53 cnf(11403,plain,
% 191.35/191.53 (~P40(x114031,x114032,x114033,f329(f329(f157(x114034,x114031),x114035),f329(a117,f118(x114034))),f118(x114032))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442])).
% 191.35/191.53 cnf(11407,plain,
% 191.35/191.53 (P40(x114071,x114072,x114073,f329(f329(f157(x114074,x114071),x114075),f119(x114074,f118(x114074))),f118(x114072))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,4669,11239,4670,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466])).
% 191.35/191.53 cnf(11411,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x114111),f909(x114111))),f329(f329(f257(f909(x114111),f909(x114111)),x114112),f118(x114111))),f329(f289(f909(x114111),f909(x114111)),f160(x114111,x114113))))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,4669,11239,4670,11350,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,4659,10958,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555])).
% 191.35/191.53 cnf(11412,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x114121),f909(x114121))),f329(f329(f257(f909(x114121),f909(x114121)),x114122),f118(x114121))),f160(x114121,x114123)))),
% 191.35/191.53 inference(rename_variables,[],[4670])).
% 191.35/191.53 cnf(11419,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x114191),f909(x114191))),f329(f329(f257(f909(x114191),f909(x114191)),f118(x114191)),x114192)),f148(x114191,x114193)))),
% 191.35/191.53 inference(rename_variables,[],[4671])).
% 191.35/191.53 cnf(11424,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f916(x114241,a903),f916(x114241,a903))),f329(f329(f257(f916(x114241,a903),f916(x114241,a903)),x114242),f191(f916(x114241,a903)))),f316(x114241)))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,4669,11239,4670,11350,4671,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598])).
% 191.35/191.53 cnf(11427,plain,
% 191.35/191.53 (P1(f329(f329(f331(x114271),x114272),f247(f916(x114271,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(11432,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x114321,a903)),f191(f916(x114321,a903))),x114322))),
% 191.35/191.53 inference(rename_variables,[],[3873])).
% 191.35/191.53 cnf(11435,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x114351),x114352),f191(f916(x114351,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11438,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x114381,a903)),x114382),f247(f916(x114381,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3806])).
% 191.35/191.53 cnf(11442,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x114421,a903)),f329(f288(x114422,x114421,x114423),f191(f916(x114422,a903)))),x114424))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,4669,11239,4670,11350,4671,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703])).
% 191.35/191.53 cnf(11443,plain,
% 191.35/191.53 (P1(f329(f329(f240(f916(x114431,a903)),f191(f916(x114431,a903))),x114432))),
% 191.35/191.53 inference(rename_variables,[],[3873])).
% 191.35/191.53 cnf(11445,plain,
% 191.35/191.53 (~P1(f329(f67(a908,x114451,x114452,x114453,f247(f916(a908,a903))),x114454))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,4669,11239,4670,11350,4671,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,3486,10829,10859,10868,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724])).
% 191.35/191.53 cnf(11456,plain,
% 191.35/191.53 (P1(f329(f247(f916(x114561,a903)),x114562))),
% 191.35/191.53 inference(rename_variables,[],[3486])).
% 191.35/191.53 cnf(11464,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x114641),f909(x114641))),f329(f329(f257(f909(x114641),f909(x114641)),x114642),f118(x114641))),f148(x114641,x114643)))),
% 191.35/191.53 inference(rename_variables,[],[4668])).
% 191.35/191.53 cnf(11467,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x114671),f909(x114671))),f329(f329(f257(f909(x114671),f909(x114671)),x114672),f118(x114671))),f150(x114671,x114673)))),
% 191.35/191.53 inference(rename_variables,[],[4669])).
% 191.35/191.53 cnf(11470,plain,
% 191.35/191.53 (~E(f329(f329(f154(x114701),x114702),x114703),x114703)),
% 191.35/191.53 inference(rename_variables,[],[4602])).
% 191.35/191.53 cnf(11473,plain,
% 191.35/191.53 (~E(f329(a117,x114731),x114731)),
% 191.35/191.53 inference(rename_variables,[],[4579])).
% 191.35/191.53 cnf(11475,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x114751),x114752),f329(f288(x114753,x114751,x114754),f191(f916(x114753,a903)))))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,10603,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,4669,11239,11347,4670,11350,4671,11419,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,3486,10829,10859,10868,10871,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843])).
% 191.35/191.53 cnf(11476,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x114761),x114762),f191(f916(x114761,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11481,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x114811),x114812),f191(f916(x114811,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11484,plain,
% 191.35/191.53 (P1(f329(f329(f331(f915(f909(x114841),f909(x114841))),f329(f329(f257(f909(x114841),f909(x114841)),x114842),x114842)),f161(x114841,f309(x114841,x114843))))),
% 191.35/191.53 inference(rename_variables,[],[4194])).
% 191.35/191.53 cnf(11487,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x114871),f909(x114871))),f329(f329(f257(f909(x114871),f909(x114871)),x114872),f118(x114871))),f148(x114871,x114873)))),
% 191.35/191.53 inference(rename_variables,[],[4668])).
% 191.35/191.53 cnf(11491,plain,
% 191.35/191.53 (E(f329(f329(f154(x114911),f679(f309(x114911,x114912),f329(f329(f154(x114911),x114913),x114914),x114914,x114913,x114911)),f680(f309(x114911,x114912),f329(f329(f154(x114911),x114913),x114914),x114914,x114913,x114911)),f329(f329(f154(x114911),x114913),x114914))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,10603,4649,11186,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,11464,4669,11239,11347,4670,11350,4671,11419,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4194,11484,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,3486,10829,10859,10868,10871,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900])).
% 191.35/191.53 cnf(11497,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x114971),x114972),f191(f916(x114971,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11500,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x115001),x115002),f191(f916(x115001,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11503,plain,
% 191.35/191.53 (P1(f329(f329(f331(x115031),x115032),f247(f916(x115031,a903))))),
% 191.35/191.53 inference(rename_variables,[],[3578])).
% 191.35/191.53 cnf(11506,plain,
% 191.35/191.53 (~P1(f329(f329(f241(a908),x115061),f2(a908)))),
% 191.35/191.53 inference(rename_variables,[],[4642])).
% 191.35/191.53 cnf(11511,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(x115111,x115111)),f329(f329(f257(x115111,x115111),x115112),x115113)),f156(x115111,f118(f916(x115111,a908)))))),
% 191.35/191.53 inference(rename_variables,[],[4667])).
% 191.35/191.53 cnf(11514,plain,
% 191.35/191.53 (~E(f329(f312(x115141,f916(x115141,a903),x115142),x115143),f329(f310(x115141),x115143))),
% 191.35/191.53 inference(rename_variables,[],[4649])).
% 191.35/191.53 cnf(11517,plain,
% 191.35/191.53 (~E(f329(f312(x115171,f916(x115171,a903),x115172),x115173),f329(f310(x115171),x115173))),
% 191.35/191.53 inference(rename_variables,[],[4649])).
% 191.35/191.53 cnf(11519,plain,
% 191.35/191.53 (E(f329(f329(f257(a908,a908),f666(f309(a908,a319),a319,a908,f329(f329(f257(a908,a908),x115191),f329(a117,x115191)),a908,a908)),f671(f309(a908,a319),a319,a908,f329(f329(f257(a908,a908),x115191),f329(a117,x115191)),a908,a908)),f329(f329(f257(a908,a908),x115191),f329(a117,x115191)))),
% 191.35/191.53 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,10603,4649,11186,11277,11514,3529,3318,10513,4201,4059,11206,11331,4668,11116,11344,11464,4669,11239,11347,4670,11350,4671,11419,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4194,11484,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,11427,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,3486,10829,10859,10868,10871,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,11389,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077])).
% 191.35/191.53 cnf(11522,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x115221),f909(x115221))),f329(f329(f257(f909(x115221),f909(x115221)),x115222),f118(x115221))),f148(x115221,x115223)))),
% 191.35/191.53 inference(rename_variables,[],[4668])).
% 191.35/191.53 cnf(11525,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x115251),f909(x115251))),f329(f329(f257(f909(x115251),f909(x115251)),x115252),f118(x115251))),f150(x115251,x115253)))),
% 191.35/191.53 inference(rename_variables,[],[4669])).
% 191.35/191.53 cnf(11528,plain,
% 191.35/191.53 (~P1(f329(f329(f331(f915(f909(x115281),f909(x115281))),f329(f329(f257(f909(x115281),f909(x115281)),x115282),f118(x115281))),f148(x115281,x115283)))),
% 191.35/191.53 inference(rename_variables,[],[4668])).
% 191.35/191.53 cnf(11531,plain,
% 191.35/191.53 (~P1(f329(f329(f331(x115311),x115312),f191(f916(x115311,a903))))),
% 191.35/191.53 inference(rename_variables,[],[4651])).
% 191.35/191.53 cnf(11533,plain,
% 191.35/191.53 (P1(f329(f329(f331(f915(x115331,x115332)),f329(f329(f257(x115331,x115332),f329(x115333,x115334)),f329(x115335,x115334))),f329(f312(f915(x115336,x115336),f915(x115331,x115332),f263(x115336,x115331,x115336,x115332,x115333,x115335)),f309(x115336,x115337))))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,10603,4649,11186,11277,11514,3529,3318,10513,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,4669,11239,11347,11467,4670,11350,4671,11419,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4194,11484,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,11427,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,3486,10829,10859,10868,10871,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,11389,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203])).
% 191.35/191.54 cnf(11536,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x115361),x115362),f191(f916(x115361,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(11539,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x115391),x115392),f191(f916(x115391,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(11542,plain,
% 191.35/191.54 (P1(f329(f329(f331(x115421),f329(x115422,x115423)),f329(f312(x115424,x115421,x115422),f247(f916(x115424,a903)))))),
% 191.35/191.54 inference(rename_variables,[],[4026])).
% 191.35/191.54 cnf(11544,plain,
% 191.35/191.54 (~P1(f329(f329(f331(f915(x115441,x115442)),x115443),f329(f312(f915(x115444,x115444),f915(x115441,x115442),f263(x115444,x115441,x115444,x115442,x115445,x115446)),f156(x115444,f118(f916(x115444,a908))))))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,4592,10606,10705,11160,4589,3216,3268,3384,10452,10455,10548,10551,3361,3883,3258,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,10603,4649,11186,11277,11514,3529,3318,10513,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,4669,11239,11347,11467,4670,11350,4671,11419,4672,3339,3620,3787,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,4642,10420,10423,10449,10942,10955,11071,4655,3863,3629,4008,3453,3454,3428,4639,4597,4194,11484,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,11427,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,3486,10829,10859,10868,10871,3518,3944,3881,10492,4648,10440,10817,10820,11299,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4661,10731,4667,11195,11198,11389,11511,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369])).
% 191.35/191.54 cnf(11545,plain,
% 191.35/191.54 (~P1(f329(f329(f331(f915(x115451,x115451)),f329(f329(f257(x115451,x115451),x115452),x115453)),f156(x115451,f118(f916(x115451,a908)))))),
% 191.35/191.54 inference(rename_variables,[],[4667])).
% 191.35/191.54 cnf(11553,plain,
% 191.35/191.54 (E(f119(x115531,f118(x115531)),f118(x115531))),
% 191.35/191.54 inference(rename_variables,[],[3268])).
% 191.35/191.54 cnf(11556,plain,
% 191.35/191.54 (~E(f329(a117,x115561),x115561)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11563,plain,
% 191.35/191.54 (~E(f329(a117,x115631),x115631)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11568,plain,
% 191.35/191.54 (E(f329(f287(x115681,x115681),f268(x115681,x115682)),x115682)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(11571,plain,
% 191.35/191.54 (E(f329(f287(x115711,x115711),f268(x115711,x115712)),x115712)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(11577,plain,
% 191.35/191.54 (~E(f329(a117,x115771),x115771)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11582,plain,
% 191.35/191.54 (~E(f329(f329(f82(a1),x115821),x115821),a102)),
% 191.35/191.54 inference(rename_variables,[],[4600])).
% 191.35/191.54 cnf(11589,plain,
% 191.35/191.54 (E(f329(f329(f23(a908),f2(a908)),x115891),f2(a908))),
% 191.35/191.54 inference(rename_variables,[],[3340])).
% 191.35/191.54 cnf(11592,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x115921),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(11599,plain,
% 191.35/191.54 (E(f329(f329(f82(a1),f329(f329(f83(a1),x115991),f329(f329(f37(a1),x115992),x115991))),f46(a1,x115992,x115991)),x115992)),
% 191.35/191.54 inference(rename_variables,[],[3975])).
% 191.35/191.54 cnf(11623,plain,
% 191.35/191.54 (~E(f329(a117,x116231),x116231)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11626,plain,
% 191.35/191.54 (~E(f329(a117,x116261),x116261)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11648,plain,
% 191.35/191.54 (~E(f329(a117,x116481),x116481)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11651,plain,
% 191.35/191.54 (~E(f329(f329(f154(x116511),x116512),x116513),x116513)),
% 191.35/191.54 inference(rename_variables,[],[4602])).
% 191.35/191.54 cnf(11658,plain,
% 191.35/191.54 (~P1(f329(f329(f175(x116581),f118(x116581)),x116582))),
% 191.35/191.54 inference(rename_variables,[],[4647])).
% 191.35/191.54 cnf(11664,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),f2(a908)),f329(a117,x116641)))),
% 191.35/191.54 inference(rename_variables,[],[3505])).
% 191.35/191.54 cnf(11665,plain,
% 191.35/191.54 (~E(f329(a117,x116651),x116651)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11668,plain,
% 191.35/191.54 (P1(f329(f329(f331(x116681),x116682),f247(f916(x116681,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3578])).
% 191.35/191.54 cnf(11680,plain,
% 191.35/191.54 (~E(f329(a117,x116801),x116801)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11683,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x116831),x116831))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(11690,plain,
% 191.35/191.54 (P1(f329(f67(x116901,x116902,x116903,x116904,f191(f916(x116901,a903))),x116904))),
% 191.35/191.54 inference(rename_variables,[],[4336])).
% 191.35/191.54 cnf(11691,plain,
% 191.35/191.54 (E(f329(f287(x116911,x116911),f268(x116911,x116912)),x116912)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(11704,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x117041),x117042)),x117042))),
% 191.35/191.54 inference(rename_variables,[],[4662])).
% 191.35/191.54 cnf(11707,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x117071)),f2(a1)))),
% 191.35/191.54 inference(rename_variables,[],[4655])).
% 191.35/191.54 cnf(11723,plain,
% 191.35/191.54 (~E(f329(f329(f106(a908),f329(a117,x117231)),x117231),f329(a117,x117231))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,4592,10606,10705,11160,3344,4589,3032,3035,3040,3041,3050,3053,3054,3055,3059,3071,3073,3081,3082,3093,3102,3104,3112,3122,3149,3195,3204,3315,3216,4575,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,3361,3883,3258,3975,11599,3323,3254,3282,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,4670,11350,4671,11419,4672,3339,3620,3787,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,3876,3408,3505,4642,10420,10423,10449,10942,10955,11071,11506,11592,4655,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,3578,10710,10798,11066,11113,11334,11337,11427,11503,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,3486,10829,10859,10868,10871,3518,3944,3881,10492,4648,10440,10817,10820,11299,11315,3446,10862,11014,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,10826,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475])).
% 191.35/191.54 cnf(11730,plain,
% 191.35/191.54 (E(f329(f287(x117301,x117301),f268(x117301,x117302)),x117302)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(11735,plain,
% 191.35/191.54 (E(f329(f287(x117351,x117351),f268(x117351,x117352)),x117352)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(11738,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x117381)),f2(a1)))),
% 191.35/191.54 inference(rename_variables,[],[4655])).
% 191.35/191.54 cnf(11743,plain,
% 191.35/191.54 (~E(f329(a117,x117431),x117431)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11752,plain,
% 191.35/191.54 (~P1(f329(f329(f175(x117521),f118(x117521)),x117522))),
% 191.35/191.54 inference(rename_variables,[],[4647])).
% 191.35/191.54 cnf(11773,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x117731)),f2(a1)))),
% 191.35/191.54 inference(rename_variables,[],[4655])).
% 191.35/191.54 cnf(11776,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x117761),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(11777,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x117771),f329(a117,x117771)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(11780,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x117801)),f2(a1)))),
% 191.35/191.54 inference(rename_variables,[],[4655])).
% 191.35/191.54 cnf(11783,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x117831),x117832),f191(f916(x117831,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(11784,plain,
% 191.35/191.54 (P1(f329(f329(f331(f916(x117841,a903)),x117842),f329(f310(x117841),x117842)))),
% 191.35/191.54 inference(rename_variables,[],[3788])).
% 191.35/191.54 cnf(11799,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x117991)),x117991))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(11800,plain,
% 191.35/191.54 (~E(f329(a117,x118001),x118001)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11810,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x118101),x118102)),x118101))),
% 191.35/191.54 inference(rename_variables,[],[4663])).
% 191.35/191.54 cnf(11813,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x118131)),f2(a1)))),
% 191.35/191.54 inference(rename_variables,[],[4655])).
% 191.35/191.54 cnf(11816,plain,
% 191.35/191.54 (~E(f329(a117,x118161),x118161)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(11829,plain,
% 191.35/191.54 (P1(f329(f329(f331(x118291),x118292),f329(f329(f311(x118291),x118292),x118293)))),
% 191.35/191.54 inference(rename_variables,[],[3736])).
% 191.35/191.54 cnf(11830,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x118301)))))),
% 191.35/191.54 inference(rename_variables,[],[4664])).
% 191.35/191.54 cnf(11833,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),f329(f329(f23(a908),x118331),x118332)),f329(a117,x118331)))),
% 191.35/191.54 inference(rename_variables,[],[3876])).
% 191.35/191.54 cnf(11836,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f46(a908,x118361,x118362)),x118361))),
% 191.35/191.54 inference(rename_variables,[],[3881])).
% 191.35/191.54 cnf(11842,plain,
% 191.35/191.54 (E(f329(f287(x118421,x118421),f268(x118421,x118422)),x118422)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(11847,plain,
% 191.35/191.54 (E(f329(f329(f137(x118471),f172(x118471,x118472,x118473)),f172(x118471,x118474,x118473)),f329(f329(f137(x118471),f172(x118471,x118474,x118473)),f172(x118471,x118472,x118473)))),
% 191.35/191.54 inference(rename_variables,[],[3989])).
% 191.35/191.54 cnf(11852,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x118521)),x118521))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(11861,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x118611),x118611))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(11864,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f46(a908,x118641,x118642)),x118641))),
% 191.35/191.54 inference(rename_variables,[],[3881])).
% 191.35/191.54 cnf(11865,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f2(a908)),x118651))),
% 191.35/191.54 inference(rename_variables,[],[3446])).
% 191.35/191.54 cnf(11867,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a1),f80(a1)),f2(a1)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,4592,10606,10705,11160,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3081,3082,3093,3102,3104,3105,3112,3122,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,3361,3883,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,3876,3408,3505,4642,10420,10423,10449,10942,10955,11071,11506,11592,4655,11707,11738,11773,11780,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,4638,10460,10489,10979,11022,11031,3578,10710,10798,11066,11113,11334,11337,11427,11503,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,4648,10440,10817,10820,11299,11315,11799,3446,10862,11014,11089,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,3736,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,4666,10625,10737,4297,4205,3904,4662,10465,10468,10823,10826,4663,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916])).
% 191.35/191.54 cnf(11882,plain,
% 191.35/191.54 (E(f329(f287(x118821,x118821),f268(x118821,x118822)),x118822)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(11885,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x118851),x118851))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(11888,plain,
% 191.35/191.54 (P1(f329(f329(f331(x118881),f329(x118882,x118883)),f329(f312(x118884,x118881,x118882),f247(f916(x118884,a903)))))),
% 191.35/191.54 inference(rename_variables,[],[4026])).
% 191.35/191.54 cnf(11889,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x118891)),x118891))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(11892,plain,
% 191.35/191.54 (P1(f329(f329(f331(x118921),f329(x118922,x118923)),f329(f312(x118924,x118921,x118922),f247(f916(x118924,a903)))))),
% 191.35/191.54 inference(rename_variables,[],[4026])).
% 191.35/191.54 cnf(11893,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x118931),x118932)),x118932))),
% 191.35/191.54 inference(rename_variables,[],[4662])).
% 191.35/191.54 cnf(11898,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x118981),x118982)),x118981))),
% 191.35/191.54 inference(rename_variables,[],[4663])).
% 191.35/191.54 cnf(11901,plain,
% 191.35/191.54 (~P1(f329(f329(f175(x119011),f118(x119011)),x119012))),
% 191.35/191.54 inference(rename_variables,[],[4647])).
% 191.35/191.54 cnf(11904,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x119041),x119041))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(11910,plain,
% 191.35/191.54 (~P41(x119101,x119102,f118(x119101))),
% 191.35/191.54 inference(rename_variables,[],[4613])).
% 191.35/191.54 cnf(11913,plain,
% 191.35/191.54 (P1(f329(f329(f331(x119131),x119132),f329(f329(f311(x119131),x119132),x119133)))),
% 191.35/191.54 inference(rename_variables,[],[3736])).
% 191.35/191.54 cnf(11926,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x119261),x119262),f191(f916(x119261,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(11929,plain,
% 191.35/191.54 (E(f329(f329(f16(x119291,x119292),x119293),x119294),x119293)),
% 191.35/191.54 inference(rename_variables,[],[3415])).
% 191.35/191.54 cnf(11932,plain,
% 191.35/191.54 (E(f329(f329(f16(x119321,x119322),x119323),x119324),x119323)),
% 191.35/191.54 inference(rename_variables,[],[3415])).
% 191.35/191.54 cnf(11944,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),f2(a908)),f329(a117,x119441)))),
% 191.35/191.54 inference(rename_variables,[],[3505])).
% 191.35/191.54 cnf(11947,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x119471),x119471))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(11950,plain,
% 191.35/191.54 (P1(f329(f62(x119501),f329(f175(x119501),x119502)))),
% 191.35/191.54 inference(rename_variables,[],[3465])).
% 191.35/191.54 cnf(11953,plain,
% 191.35/191.54 (P1(f329(f62(x119531),f329(f175(x119531),x119532)))),
% 191.35/191.54 inference(rename_variables,[],[3465])).
% 191.35/191.54 cnf(11956,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),x119561))),f329(f105(a1),x119562)))),
% 191.35/191.54 inference(rename_variables,[],[3905])).
% 191.35/191.54 cnf(11959,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x119591),x119592),f191(f916(x119591,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(11973,plain,
% 191.35/191.54 (~P1(f329(f329(f331(a908),f2(a908)),f329(f306(a908),x119731)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,4592,10606,10705,11160,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3102,3104,3105,3112,3122,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,3361,3883,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,3876,11833,3408,3505,11664,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,4655,11707,11738,11773,11780,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,3501,4638,10460,10489,10979,11022,11031,11861,3578,10710,10798,11066,11113,11334,11337,11427,11503,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,4648,10440,10817,10820,11299,11315,11799,11852,11889,3446,10862,11014,11089,3905,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266])).
% 191.35/191.54 cnf(11975,plain,
% 191.35/191.54 (~P1(f329(f329(f331(a908),x119751),f329(f285(a908),f2(a908))))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,4592,10606,10705,11160,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3102,3104,3105,3112,3122,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,3361,3883,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,3876,11833,3408,3505,11664,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,4655,11707,11738,11773,11780,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,3501,4638,10460,10489,10979,11022,11031,11861,3578,10710,10798,11066,11113,11334,11337,11427,11503,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,4648,10440,10817,10820,11299,11315,11799,11852,11889,3446,10862,11014,11089,3905,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267])).
% 191.35/191.54 cnf(11978,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x119781),x119781))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(11981,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x119811),x119811))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(11990,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x119901),x119901))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(11993,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x119931),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(11998,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x119981),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12007,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f2(a908)),x120071))),
% 191.35/191.54 inference(rename_variables,[],[3446])).
% 191.35/191.54 cnf(12008,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x120081)),x120081))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(12011,plain,
% 191.35/191.54 (~P1(f329(f329(f175(x120111),f118(x120111)),x120112))),
% 191.35/191.54 inference(rename_variables,[],[4647])).
% 191.35/191.54 cnf(12014,plain,
% 191.35/191.54 (~P1(f329(f329(f175(x120141),f118(x120141)),x120142))),
% 191.35/191.54 inference(rename_variables,[],[4647])).
% 191.35/191.54 cnf(12032,plain,
% 191.35/191.54 (P1(f329(f329(f241(a1),f329(f81(a1),f80(a1))),f2(a1)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,4592,10606,10705,11160,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,3361,3883,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,3876,11833,3408,3505,11664,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,11058,11981,3501,4638,10460,10489,10979,11022,11031,11861,3578,10710,10798,11066,11113,11334,11337,11427,11503,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,3446,10862,11014,11089,11865,3905,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571])).
% 191.35/191.54 cnf(12035,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x120351)),x120351))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(12038,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x120381)),x120381))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(12041,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x120411)),x120411))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(12044,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x120441)),x120441))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(12047,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x120471),x120471))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12050,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x120501),x120501))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12053,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x120531),x120531))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12056,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x120561),x120561))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12072,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),f329(f329(f23(a908),x120721),f329(a117,x120721))),f2(a908)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,4592,10606,10705,11160,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,3361,3883,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,3876,11833,3408,3505,11664,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,11058,11981,3501,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,3578,10710,10798,11066,11113,11334,11337,11427,11503,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,3446,10862,11014,11089,11865,3905,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648])).
% 191.35/191.54 cnf(12073,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x120731),x120731))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(12078,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x120781),f329(f77(a1),x120781)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,4592,10606,10705,11160,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,3361,3883,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,3876,11833,3408,3505,11664,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4068,11008,4117,3788,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,3426,10914,10961,10964,10995,11017,11055,11096,3427,10619,10847,10937,11058,11981,11990,3501,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,3578,10710,10798,11066,11113,11334,11337,11427,11503,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,3446,10862,11014,11089,11865,3905,4242,4645,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668])).
% 191.35/191.54 cnf(12079,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x120791),x120791))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12090,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x120901),x120901))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12093,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(f915(f909(x120931),f909(x120931)),a903)),f161(x120931,x120932)),f309(f909(x120931),f160(x120931,x120932))))),
% 191.35/191.54 inference(rename_variables,[],[4122])).
% 191.35/191.54 cnf(12100,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x121001),f329(a117,x121001)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12103,plain,
% 191.35/191.54 (P1(f329(f329(f331(f916(x121031,a903)),x121032),f329(f310(x121031),x121032)))),
% 191.35/191.54 inference(rename_variables,[],[3788])).
% 191.35/191.54 cnf(12104,plain,
% 191.35/191.54 (~E(f329(a117,x121041),x121041)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12109,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x121091),x121091))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12114,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x121141),x121141))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12125,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x121251,a903)),x121252),f329(f329(f311(x121251),x121253),x121252)))),
% 191.35/191.54 inference(rename_variables,[],[3871])).
% 191.35/191.54 cnf(12128,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x121281),x121281))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(12129,plain,
% 191.35/191.54 (~E(f329(a117,x121291),x121291)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12132,plain,
% 191.35/191.54 (P1(f329(f329(f331(x121321),x121322),f247(f916(x121321,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3578])).
% 191.35/191.54 cnf(12143,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x121431),x121431))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12144,plain,
% 191.35/191.54 (~E(f329(a117,x121441),x121441)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12147,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x121471),x121471))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12150,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x121501),x121501))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12153,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x121531),x121531))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12156,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x121561),x121561))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12159,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x121591),x121591))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12162,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x121621),x121621))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12165,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x121651),x121651))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12166,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x121661),f329(a117,x121661)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12173,plain,
% 191.35/191.54 (~E(f329(a117,x121731),x121731)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12178,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x121781),x121781))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12179,plain,
% 191.35/191.54 (~E(f329(a117,x121791),x121791)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12182,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x121821),x121821))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12199,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x121991),x121991))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12204,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f2(a908)),x122041))),
% 191.35/191.54 inference(rename_variables,[],[3446])).
% 191.35/191.54 cnf(12218,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x122181),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12221,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x122211),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12224,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x122241),x122242),f191(f916(x122241,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12227,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x122271),x122272),f191(f916(x122271,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12230,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x122301),x122301))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12232,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x122321),f329(f329(f106(a908),x122321),x122322)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3662,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,4592,10606,10705,11160,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3077,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,3361,3370,3883,4187,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,3876,11833,3408,3505,11664,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4122,4068,11008,4117,3788,11784,4151,3806,11212,11282,11373,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,3446,10862,11014,11089,11865,12007,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,11151,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144])).
% 191.35/191.54 cnf(12233,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x122331),x122331))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12236,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x122361),x122361))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12239,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x122391),x122391))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12242,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x122421),f329(a117,x122421)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12249,plain,
% 191.35/191.54 (P1(f329(f329(f331(f916(x122491,a903)),x122492),f329(f310(x122491),x122492)))),
% 191.35/191.54 inference(rename_variables,[],[3788])).
% 191.35/191.54 cnf(12254,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x122541,a903)),x122542),f329(f329(f311(x122541),x122543),x122542)))),
% 191.35/191.54 inference(rename_variables,[],[3871])).
% 191.35/191.54 cnf(12261,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x122611),x122612),f191(f916(x122611,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12270,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x122701,a903)),x122702),f247(f916(x122701,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3806])).
% 191.35/191.54 cnf(12271,plain,
% 191.35/191.54 (~E(f329(a117,x122711),x122711)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12274,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x122741,a903)),f329(f175(x122741),f329(f139(x122741,x122742),x122743))),f329(f175(x122741),x122743)))),
% 191.35/191.54 inference(rename_variables,[],[4068])).
% 191.35/191.54 cnf(12280,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x122801),f329(a117,x122801)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12289,plain,
% 191.35/191.54 (P48(a25,x122891,x122892,x122891)),
% 191.35/191.54 inference(rename_variables,[],[3638])).
% 191.35/191.54 cnf(12292,plain,
% 191.35/191.54 (E(f329(f287(x122921,x122921),f268(x122921,x122922)),x122922)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12303,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a908),f329(a117,x123031)),x123031))),
% 191.35/191.54 inference(rename_variables,[],[4648])).
% 191.35/191.54 cnf(12304,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x123041),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12307,plain,
% 191.35/191.54 (P1(f329(f62(x123071),f191(f916(x123071,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3501])).
% 191.35/191.54 cnf(12308,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x123081),x123082),f191(f916(x123081,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12311,plain,
% 191.35/191.54 (P48(a25,x123111,x123112,x123111)),
% 191.35/191.54 inference(rename_variables,[],[3638])).
% 191.35/191.54 cnf(12317,plain,
% 191.35/191.54 (~P48(f29(f329(f331(f915(f909(x123171),f909(x123171))),f329(f329(f257(f909(x123171),f909(x123171)),x123172),f118(x123171))),x123173,f32(x123174,f32(x123175,f32(f32(f329(a26,x123176),x123177),x123178)))),f150(x123171,x123179),f2(a908),x1231710)),
% 191.35/191.54 inference(scs_inference,[],[4665,3638,12289,3662,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,4592,10606,10705,11160,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,3361,3370,3883,4187,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4122,4068,11008,4117,3788,11784,12103,4151,3806,11212,11282,11373,11438,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,3446,10862,11014,11089,11865,12007,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,11151,12125,3720,11265,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,47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% 191.35/191.54 cnf(12320,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x123201,a903)),f329(f175(x123201),f179(x123201,x123202,x123203))),f329(f175(x123201),x123202)))),
% 191.35/191.54 inference(rename_variables,[],[4117])).
% 191.35/191.54 cnf(12323,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x123231),x123231))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(12326,plain,
% 191.35/191.54 (P30(x123261,x123261,f5(x123261),x123262)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12331,plain,
% 191.35/191.54 (P1(f329(f329(f331(f916(x123311,a903)),x123312),f329(f310(x123311),x123312)))),
% 191.35/191.54 inference(rename_variables,[],[3788])).
% 191.35/191.54 cnf(12336,plain,
% 191.35/191.54 (P1(f329(f329(f331(x123361),x123362),f329(f329(f311(x123361),x123362),x123363)))),
% 191.35/191.54 inference(rename_variables,[],[3736])).
% 191.35/191.54 cnf(12341,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x123411),x123411))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(12344,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x123441),x123442),f191(f916(x123441,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12347,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x123471,a903)),x123472),f329(f329(f311(x123471),x123473),x123472)))),
% 191.35/191.54 inference(rename_variables,[],[3871])).
% 191.35/191.54 cnf(12348,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x123481,a903)),x123482),f247(f916(x123481,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3806])).
% 191.35/191.54 cnf(12355,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x123551),x123551))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12358,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x123581),x123581))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12361,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x123611),x123611))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12364,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x123641),x123641))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12367,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x123671),f329(a117,x123671)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12370,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x123701),f329(a117,x123701)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12373,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x123731,a903)),x123732),x123732))),
% 191.35/191.54 inference(rename_variables,[],[3720])).
% 191.35/191.54 cnf(12375,plain,
% 191.35/191.54 (~P1(f329(f329(f240(a1),f329(f329(f23(a1),a85),a102)),f2(a1)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3638,12289,3662,11272,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,4592,10606,10705,11160,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,3361,3370,3883,4187,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,11953,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4122,4068,11008,4117,11209,3788,11784,12103,12249,4151,3806,11212,11282,11373,11438,12270,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,3446,10862,11014,11089,11865,12007,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,11151,12125,12254,3720,11265,11392,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764])).
% 191.35/191.54 cnf(12380,plain,
% 191.35/191.54 (P1(f329(f329(f331(f916(x123801,a903)),x123802),f329(f310(x123801),x123802)))),
% 191.35/191.54 inference(rename_variables,[],[3788])).
% 191.35/191.54 cnf(12386,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f329(f82(a1),a85),a85)),f2(a1)))),
% 191.35/191.54 inference(scs_inference,[],[4665,3638,12289,3662,11272,4612,4613,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,4592,10606,10705,11160,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,3361,3370,3883,4187,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3482,11011,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,11953,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4122,4068,11008,4117,11209,3788,11784,12103,12249,12331,4151,3806,11212,11282,11373,11438,12270,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,3446,10862,11014,11089,11865,12007,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,11151,12125,12254,3720,11265,11392,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801])).
% 191.35/191.54 cnf(12389,plain,
% 191.35/191.54 (~E(f329(a117,x123891),x123891)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12390,plain,
% 191.35/191.54 (E(f329(f312(x123901,x123901,f5(x123901)),x123902),x123902)),
% 191.35/191.54 inference(rename_variables,[],[3482])).
% 191.35/191.54 cnf(12393,plain,
% 191.35/191.54 (P38(x123931,x123932,f118(x123931),f118(x123931))),
% 191.35/191.54 inference(rename_variables,[],[3670])).
% 191.35/191.54 cnf(12396,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x123961,a903)),f329(f175(x123961),f179(x123961,x123962,x123963))),f329(f175(x123961),x123962)))),
% 191.35/191.54 inference(rename_variables,[],[4117])).
% 191.35/191.54 cnf(12397,plain,
% 191.35/191.54 (P1(f329(f62(x123971),f329(f175(x123971),x123972)))),
% 191.35/191.54 inference(rename_variables,[],[3465])).
% 191.35/191.54 cnf(12408,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x124081),x124081))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12411,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x124111),x124111))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12416,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f2(a908)),x124161))),
% 191.35/191.54 inference(rename_variables,[],[3446])).
% 191.35/191.54 cnf(12423,plain,
% 191.35/191.54 (P18(a908,f329(f171(a908),f329(f329(f157(f909(x124231),a908),f192(f909(x124231))),f182(x124231,x124232))))),
% 191.35/191.54 inference(rename_variables,[],[3985])).
% 191.35/191.54 cnf(12426,plain,
% 191.35/191.54 (P30(x124261,x124261,f5(x124261),x124262)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12429,plain,
% 191.35/191.54 (P30(x124291,x124291,f5(x124291),x124292)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12432,plain,
% 191.35/191.54 (P1(f329(f329(f331(f909(x124321)),f118(x124321)),f164(x124321,x124322)))),
% 191.35/191.54 inference(rename_variables,[],[3620])).
% 191.35/191.54 cnf(12435,plain,
% 191.35/191.54 (~P1(f329(f329(f191(f916(x124351,f916(x124352,a903))),x124353),x124354))),
% 191.35/191.54 inference(rename_variables,[],[4666])).
% 191.35/191.54 cnf(12440,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x124401),x124401))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12441,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f2(a908)),x124411))),
% 191.35/191.54 inference(rename_variables,[],[3446])).
% 191.35/191.54 cnf(12443,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),f2(a1)),f898(x124431,f191(f916(x124432,f916(x124433,a903))),f80(a1))))),
% 191.35/191.54 inference(scs_inference,[],[4665,3638,12289,3662,11272,12326,12426,3670,4612,4613,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,4592,10606,10705,11160,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,3361,3370,3883,4187,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,3787,4472,4473,4600,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,11953,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4122,4068,11008,4117,11209,12320,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,11151,12125,12254,3720,11265,11392,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,4297,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087])).
% 191.35/191.54 cnf(12444,plain,
% 191.35/191.54 (~P1(f329(f329(f191(f916(x124441,f916(x124442,a903))),x124443),x124444))),
% 191.35/191.54 inference(rename_variables,[],[4666])).
% 191.35/191.54 cnf(12447,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(f915(f909(x124471),f909(x124471)),a903)),f161(x124471,x124472)),f309(f909(x124471),f160(x124471,x124472))))),
% 191.35/191.54 inference(rename_variables,[],[4122])).
% 191.35/191.54 cnf(12453,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x124531,a903)),f329(f312(x124532,x124531,x124533),f329(f313(x124532,x124531,x124533),x124534))),x124534))),
% 191.35/191.54 inference(rename_variables,[],[4297])).
% 191.35/191.54 cnf(12456,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x124561,a903)),f329(f175(x124561),f179(x124561,x124562,x124563))),f329(f175(x124561),x124562)))),
% 191.35/191.54 inference(rename_variables,[],[4117])).
% 191.35/191.54 cnf(12457,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x124571,a903)),f329(f175(x124571),f329(f139(x124571,x124572),x124573))),f329(f175(x124571),x124573)))),
% 191.35/191.54 inference(rename_variables,[],[4068])).
% 191.35/191.54 cnf(12460,plain,
% 191.35/191.54 (~P1(f329(f329(f241(f916(x124601,a903)),x124602),f191(f916(x124601,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4659])).
% 191.35/191.54 cnf(12463,plain,
% 191.35/191.54 (P1(f329(f329(f197(a25),x124631),x124631))),
% 191.35/191.54 inference(rename_variables,[],[3425])).
% 191.35/191.54 cnf(12471,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x124711,a903)),f329(f312(x124712,x124711,x124713),f329(f313(x124712,x124711,x124713),x124714))),x124714))),
% 191.35/191.54 inference(rename_variables,[],[4297])).
% 191.35/191.54 cnf(12476,plain,
% 191.35/191.54 (P1(f329(f329(f331(f909(x124761)),f118(x124761)),f164(x124761,x124762)))),
% 191.35/191.54 inference(rename_variables,[],[3620])).
% 191.35/191.54 cnf(12479,plain,
% 191.35/191.54 (~P1(f329(f329(f331(f915(f909(x124791),f909(x124791))),f329(f329(f257(f909(x124791),f909(x124791)),x124792),f118(x124791))),f148(x124791,x124793)))),
% 191.35/191.54 inference(rename_variables,[],[4668])).
% 191.35/191.54 cnf(12482,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x124821),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12484,plain,
% 191.35/191.54 (~P1(f329(f62(x124841),f247(f916(x124841,a903))))),
% 191.35/191.54 inference(scs_inference,[],[4665,3638,12289,3662,11272,12326,12426,3670,3679,3394,4612,4613,3291,3294,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,4592,10606,10705,11160,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,3361,3370,3883,4187,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,3354,4057,4602,10443,10603,11470,3415,11929,4649,11186,11277,11514,11517,3529,3318,10513,10832,3319,3582,3235,3340,11589,4201,4059,11206,11331,11401,4668,11116,11344,11464,11487,11522,11528,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,3787,4472,4473,4600,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3613,4656,4194,11484,3746,3465,11950,11953,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,4163,4122,12093,12447,4068,11008,12274,4117,11209,12320,12396,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,4026,11542,11888,3871,11129,11135,11151,12125,12254,3720,11265,11392,12373,3873,10865,11228,11398,11432,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,4297,11001,12453,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,955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% 191.35/191.54 cnf(12485,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x124851,a903)),x124852),x124852))),
% 191.35/191.54 inference(rename_variables,[],[3720])).
% 191.35/191.54 cnf(12488,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x124881),x124882),f191(f916(x124881,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12491,plain,
% 191.35/191.54 (~P1(f329(f329(f191(f916(x124911,f916(x124912,a903))),x124913),x124914))),
% 191.35/191.54 inference(rename_variables,[],[4666])).
% 191.35/191.54 cnf(12494,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x124941,a903)),f329(f312(x124942,x124941,x124943),f329(f313(x124942,x124941,x124943),x124944))),x124944))),
% 191.35/191.54 inference(rename_variables,[],[4297])).
% 191.35/191.54 cnf(12495,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x124951,a903)),x124952),x124952))),
% 191.35/191.54 inference(rename_variables,[],[3720])).
% 191.35/191.54 cnf(12500,plain,
% 191.35/191.54 (E(f329(f287(x125001,x125001),f268(x125001,x125002)),x125002)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12503,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x125031,a903)),f329(f175(x125031),f179(x125031,x125032,x125033))),f329(f175(x125031),x125032)))),
% 191.35/191.54 inference(rename_variables,[],[4117])).
% 191.35/191.54 cnf(12504,plain,
% 191.35/191.54 (P1(f329(f62(x125041),f329(f175(x125041),x125042)))),
% 191.35/191.54 inference(rename_variables,[],[3465])).
% 191.35/191.54 cnf(12510,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x125101),x125101))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12513,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x125131),x125131))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12524,plain,
% 191.35/191.54 (P30(x125241,x125241,f5(x125241),x125242)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12529,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x125291),x125292),f191(f916(x125291,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12532,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(x125321,x125321)),f329(f329(f257(x125321,x125321),x125322),x125322)),f309(x125321,x125323)))),
% 191.35/191.54 inference(rename_variables,[],[4059])).
% 191.35/191.54 cnf(12535,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x125351),x125352),f191(f916(x125351,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12538,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(x125381,x125381)),f329(f329(f257(x125381,x125381),x125382),x125382)),f309(x125381,x125383)))),
% 191.35/191.54 inference(rename_variables,[],[4059])).
% 191.35/191.54 cnf(12548,plain,
% 191.35/191.54 (~E(f329(f329(f154(x125481),x125482),x125483),x125483)),
% 191.35/191.54 inference(rename_variables,[],[4602])).
% 191.35/191.54 cnf(12551,plain,
% 191.35/191.54 (P1(f329(f329(f331(x125511),x125512),f247(f916(x125511,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3578])).
% 191.35/191.54 cnf(12552,plain,
% 191.35/191.54 (~E(f329(a117,x125521),x125521)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12555,plain,
% 191.35/191.54 (P1(f329(f329(f331(f909(x125551)),f118(x125551)),f164(x125551,x125552)))),
% 191.35/191.54 inference(rename_variables,[],[3620])).
% 191.35/191.54 cnf(12556,plain,
% 191.35/191.54 (~E(f329(f329(f154(x125561),x125562),x125563),f118(x125561))),
% 191.35/191.54 inference(rename_variables,[],[4609])).
% 191.35/191.54 cnf(12559,plain,
% 191.35/191.54 (P30(x125591,x125591,f5(x125591),x125592)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12562,plain,
% 191.35/191.54 (P1(f329(f329(f331(x125621),f329(x125622,x125623)),f329(f312(x125624,x125621,x125622),f247(f916(x125624,a903)))))),
% 191.35/191.54 inference(rename_variables,[],[4026])).
% 191.35/191.54 cnf(12563,plain,
% 191.35/191.54 (P30(x125631,x125631,f5(x125631),x125632)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12566,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x125661,a903)),f191(f916(x125661,a903))),x125662))),
% 191.35/191.54 inference(rename_variables,[],[3873])).
% 191.35/191.54 cnf(12567,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x125671,a903)),x125672),x125672))),
% 191.35/191.54 inference(rename_variables,[],[3720])).
% 191.35/191.54 cnf(12570,plain,
% 191.35/191.54 (P1(f329(f329(f331(x125701),f329(x125702,x125703)),f329(f312(x125704,x125701,x125702),f247(f916(x125704,a903)))))),
% 191.35/191.54 inference(rename_variables,[],[4026])).
% 191.35/191.54 cnf(12571,plain,
% 191.35/191.54 (P30(x125711,x125711,f5(x125711),x125712)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12574,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(f909(x125741),f909(x125741))),f329(f329(f257(f909(x125741),f909(x125741)),f118(x125741)),f118(x125741))),f161(x125741,x125742)))),
% 191.35/191.54 inference(rename_variables,[],[4201])).
% 191.35/191.54 cnf(12578,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x125781),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12584,plain,
% 191.35/191.54 (E(f329(f329(f137(x125841),x125842),f118(x125841)),x125842)),
% 191.35/191.54 inference(rename_variables,[],[3355])).
% 191.35/191.54 cnf(12585,plain,
% 191.35/191.54 (~E(f329(f329(f154(x125851),x125852),x125853),x125853)),
% 191.35/191.54 inference(rename_variables,[],[4602])).
% 191.35/191.54 cnf(12588,plain,
% 191.35/191.54 (E(f329(f329(f137(x125881),x125882),f118(x125881)),x125882)),
% 191.35/191.54 inference(rename_variables,[],[3355])).
% 191.35/191.54 cnf(12589,plain,
% 191.35/191.54 (~E(f329(f329(f154(x125891),x125892),x125893),x125893)),
% 191.35/191.54 inference(rename_variables,[],[4602])).
% 191.35/191.54 cnf(12592,plain,
% 191.35/191.54 (E(f329(f329(f137(x125921),x125922),f118(x125921)),x125922)),
% 191.35/191.54 inference(rename_variables,[],[3355])).
% 191.35/191.54 cnf(12599,plain,
% 191.35/191.54 (P59(x125991,f268(x125991,x125992))),
% 191.35/191.54 inference(rename_variables,[],[3295])).
% 191.35/191.54 cnf(12602,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126021,a903)),f329(f175(x126021),f329(f139(x126021,x126022),x126023))),f329(f175(x126021),x126023)))),
% 191.35/191.54 inference(rename_variables,[],[4068])).
% 191.35/191.54 cnf(12603,plain,
% 191.35/191.54 (E(f329(f312(x126031,x126031,f5(x126031)),x126032),x126032)),
% 191.35/191.54 inference(rename_variables,[],[3482])).
% 191.35/191.54 cnf(12608,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126081,a903)),x126082),f247(f916(x126081,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3806])).
% 191.35/191.54 cnf(12612,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x126121),x126121))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12613,plain,
% 191.35/191.54 (~E(f329(a117,x126131),x126131)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12616,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126161,a903)),f191(f916(x126161,a903))),x126162))),
% 191.35/191.54 inference(rename_variables,[],[3873])).
% 191.35/191.54 cnf(12619,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x126191),x126191))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12622,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126221,a903)),x126222),x126222))),
% 191.35/191.54 inference(rename_variables,[],[3720])).
% 191.35/191.54 cnf(12627,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126271,a903)),x126272),f329(f329(f311(x126271),x126273),x126272)))),
% 191.35/191.54 inference(rename_variables,[],[3871])).
% 191.35/191.54 cnf(12630,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126301,a903)),x126302),x126302))),
% 191.35/191.54 inference(rename_variables,[],[3720])).
% 191.35/191.54 cnf(12631,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x126311),x126312),f191(f916(x126311,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12634,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x126341),x126342),f191(f916(x126341,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12642,plain,
% 191.35/191.54 (~P1(f329(f329(f240(f916(f915(x126421,x126421),a903)),f329(f312(f915(x126421,x126421),f915(x126421,x126421),f5(f915(x126421,x126421))),f247(f916(f915(x126421,x126421),a903)))),f329(f312(f915(x126421,x126421),f915(x126421,x126421),f5(f915(x126421,x126421))),f191(f916(f915(x126421,x126421),a903)))))),
% 191.35/191.54 inference(scs_inference,[],[4665,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,3355,12584,12588,3361,3370,3883,4187,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,4059,11206,11331,11401,12532,12538,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,3486,10829,10859,10868,10871,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,3871,11129,11135,11151,12125,12254,12347,3720,11265,11392,12373,12485,12495,12567,12622,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8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% 191.35/191.54 cnf(12643,plain,
% 191.35/191.54 (P30(x126431,x126431,f5(x126431),x126432)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12646,plain,
% 191.35/191.54 (E(f329(f192(f909(x126461)),f172(x126461,x126462,x126463)),x126462)),
% 191.35/191.54 inference(rename_variables,[],[3492])).
% 191.35/191.54 cnf(12649,plain,
% 191.35/191.54 (P31(x126491,x126491,f33(x126491),x126492,x126492)),
% 191.35/191.54 inference(rename_variables,[],[4083])).
% 191.35/191.54 cnf(12652,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x126521),x126521))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12653,plain,
% 191.35/191.54 (P1(f329(f247(f916(x126531,a903)),x126532))),
% 191.35/191.54 inference(rename_variables,[],[3486])).
% 191.35/191.54 cnf(12656,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x126561),x126562),f191(f916(x126561,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12659,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126591,a903)),x126592),f329(f329(f311(x126591),x126593),x126592)))),
% 191.35/191.54 inference(rename_variables,[],[3871])).
% 191.35/191.54 cnf(12662,plain,
% 191.35/191.54 (P1(f329(f329(f331(x126621),f329(x126622,x126623)),f329(f312(x126624,x126621,x126622),f247(f916(x126624,a903)))))),
% 191.35/191.54 inference(rename_variables,[],[4026])).
% 191.35/191.54 cnf(12663,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(x126631,x126631)),f329(f329(f257(x126631,x126631),x126632),x126632)),f309(x126631,x126633)))),
% 191.35/191.54 inference(rename_variables,[],[4059])).
% 191.35/191.54 cnf(12666,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(x126661,x126661)),f329(f329(f257(x126661,x126661),x126662),x126662)),f309(x126661,x126663)))),
% 191.35/191.54 inference(rename_variables,[],[4059])).
% 191.35/191.54 cnf(12668,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f329(f192(f909(x126681)),x126682)),f329(f192(f909(x126681)),f180(x126681,f247(f916(x126683,a903)),x126682))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,3355,12584,12588,3361,3370,3883,4187,3492,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,4059,11206,11331,11401,12532,12538,12663,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485])).
% 191.35/191.54 cnf(12669,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x126691),x126691))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12670,plain,
% 191.35/191.54 (P1(f329(f247(f916(x126701,a903)),x126702))),
% 191.35/191.54 inference(rename_variables,[],[3486])).
% 191.35/191.54 cnf(12673,plain,
% 191.35/191.54 (P1(f329(f62(x126731),f329(f175(x126731),x126732)))),
% 191.35/191.54 inference(rename_variables,[],[3465])).
% 191.35/191.54 cnf(12678,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(f909(x126781),f909(x126781))),f329(f329(f257(f909(x126781),f909(x126781)),f118(x126781)),f118(x126781))),f329(f329(f291(f909(x126781),f909(x126781),f909(x126781)),f161(x126781,x126782)),f161(x126781,x126782))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,3355,12584,12588,12592,3361,3370,3883,4187,3492,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,4059,11206,11331,11401,12532,12538,12663,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592])).
% 191.35/191.54 cnf(12680,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(x126801,x126801)),f329(f329(f257(x126801,x126801),x126802),x126802)),f329(f329(f291(x126801,x126801,x126801),f309(x126801,x126803)),f309(x126801,f309(x126801,x126803)))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,3355,12584,12588,12592,3361,3370,3883,4187,3492,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,4059,11206,11331,11401,12532,12538,12663,12666,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602])).
% 191.35/191.54 cnf(12683,plain,
% 191.35/191.54 (~P1(f329(f329(f191(f916(x126831,f916(x126832,a903))),x126833),x126834))),
% 191.35/191.54 inference(rename_variables,[],[4666])).
% 191.35/191.54 cnf(12686,plain,
% 191.35/191.54 (~P1(f329(f329(f191(f916(x126861,f916(x126862,a903))),x126863),x126864))),
% 191.35/191.54 inference(rename_variables,[],[4666])).
% 191.35/191.54 cnf(12689,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126891,a903)),x126892),f247(f916(x126891,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3806])).
% 191.35/191.54 cnf(12692,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(x126921,x126921)),f329(f329(f257(x126921,x126921),x126922),x126922)),f309(x126921,x126923)))),
% 191.35/191.54 inference(rename_variables,[],[4059])).
% 191.35/191.54 cnf(12695,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x126951),x126952)),x126952))),
% 191.35/191.54 inference(rename_variables,[],[4662])).
% 191.35/191.54 cnf(12696,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x126961),f329(a117,x126961)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12699,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x126991,a903)),x126992),f247(f916(x126991,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3806])).
% 191.35/191.54 cnf(12702,plain,
% 191.35/191.54 (E(f329(f287(x127021,x127021),f268(x127021,x127022)),x127022)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12709,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(f915(f909(x127091),f909(x127091)),f915(f909(x127091),f909(x127091)))),f475(f309(f915(f909(x127091),f909(x127091)),x127092),f148(x127091,x127093),f915(f909(x127091),f909(x127091)))),f309(f915(f909(x127091),f909(x127091)),x127092)))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3760,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,3355,12584,12588,12592,3361,3370,3883,4187,3492,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,12491,12683,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,11893,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671])).
% 191.35/191.54 cnf(12713,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x127131),x127132),f191(f916(x127131,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12714,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(f909(x127141),f909(x127141))),f329(f329(f257(f909(x127141),f909(x127141)),f118(x127141)),f118(x127141))),f161(x127141,x127142)))),
% 191.35/191.54 inference(rename_variables,[],[4201])).
% 191.35/191.54 cnf(12716,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(a908,a908)),f329(f329(f257(a908,a908),f2(a908)),f329(a117,f2(a908)))),f329(f329(f291(a908,a908,a908),f309(a908,a319)),f309(a908,f309(a908,a319)))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3760,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,3355,12584,12588,12592,3361,3370,3883,4187,3492,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,12491,12683,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,11893,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,85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% 191.35/191.54 cnf(12719,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x127191),x127192),f191(f916(x127191,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12724,plain,
% 191.35/191.54 (P37(x127241,x127242,f118(x127241))),
% 191.35/191.54 inference(rename_variables,[],[3360])).
% 191.35/191.54 cnf(12727,plain,
% 191.35/191.54 (E(f329(f192(f909(x127271)),f172(x127271,x127272,x127273)),x127272)),
% 191.35/191.54 inference(rename_variables,[],[3492])).
% 191.35/191.54 cnf(12730,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x127301),x127302),f191(f916(x127301,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12734,plain,
% 191.35/191.54 (~P1(f329(f329(f331(f915(f909(x127341),f909(x127341))),f329(f329(f257(f909(x127341),f909(x127341)),x127342),x127342)),f150(x127341,f156(x127341,f118(f916(x127341,a908))))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,3360,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3760,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,3355,12584,12588,12592,3361,3370,3883,4187,3492,12646,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,12491,12683,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,11893,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060])).
% 191.35/191.54 cnf(12736,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x127361),x127361))),
% 191.35/191.54 inference(rename_variables,[],[4638])).
% 191.35/191.54 cnf(12738,plain,
% 191.35/191.54 (P1(f329(f329(f331(f915(f909(x127381),f909(x127381))),f329(f329(f257(f909(x127381),f909(x127381)),f172(x127381,f329(f192(f909(x127381)),x127382),x127383)),x127382)),f161(x127381,f247(f916(f915(x127381,x127381),a903)))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,3638,12289,3662,11272,12326,12426,12429,12524,12559,12563,12571,3670,3679,3394,3360,4612,4613,3291,3294,3295,4611,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,4592,10606,10705,11160,3481,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,3216,4575,3760,3989,11847,3268,11553,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,3355,12584,12588,12592,3361,3370,3883,4187,3492,12646,12727,3258,3622,3975,11599,3323,3254,3282,3278,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,4609,12556,3415,11929,4649,11186,11277,11514,11517,3529,4627,3318,10513,10832,3319,3582,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,4600,11582,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,12491,12683,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,11893,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367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% 191.35/191.54 cnf(12739,plain,
% 191.35/191.54 (P1(f329(f329(f331(x127391),x127392),f247(f916(x127391,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3578])).
% 191.35/191.54 cnf(12747,plain,
% 191.35/191.54 (P1(f329(f329(f240(f916(x127471,a903)),x127472),x127472))),
% 191.35/191.54 inference(rename_variables,[],[3720])).
% 191.35/191.54 cnf(12750,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x127501),x127502),f191(f916(x127501,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(12753,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x127531)),x127532)))),
% 191.35/191.54 inference(rename_variables,[],[3904])).
% 191.35/191.54 cnf(12756,plain,
% 191.35/191.54 (~E(f329(a117,x127561),x127561)),
% 191.35/191.54 inference(rename_variables,[],[4579])).
% 191.35/191.54 cnf(12758,plain,
% 191.35/191.54 (E(f329(f287(x127581,x127581),f268(x127581,x127582)),x127582)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12760,plain,
% 191.35/191.54 (P48(a25,x127601,x127602,x127601)),
% 191.35/191.54 inference(rename_variables,[],[3638])).
% 191.35/191.54 cnf(12762,plain,
% 191.35/191.54 (P48(a25,x127621,x127622,x127621)),
% 191.35/191.54 inference(rename_variables,[],[3638])).
% 191.35/191.54 cnf(12768,plain,
% 191.35/191.54 (E(f329(f287(x127681,x127681),f268(x127681,x127682)),x127682)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12777,plain,
% 191.35/191.54 (E(f329(f287(x127771,x127771),f268(x127771,x127772)),x127772)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12779,plain,
% 191.35/191.54 (E(f329(f287(x127791,x127791),f268(x127791,x127792)),x127792)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12781,plain,
% 191.35/191.54 (P59(x127811,f268(x127811,x127812))),
% 191.35/191.54 inference(rename_variables,[],[3295])).
% 191.35/191.54 cnf(12789,plain,
% 191.35/191.54 (P43(x127891,f156(x127891,x127892))),
% 191.35/191.54 inference(rename_variables,[],[3291])).
% 191.35/191.54 cnf(12794,plain,
% 191.35/191.54 (P33(x127941,f2(a908),f329(f329(f329(f93(x127941),x127942),f329(a26,x127943)),x127944))),
% 191.35/191.54 inference(rename_variables,[],[3799])).
% 191.35/191.54 cnf(12798,plain,
% 191.35/191.54 (E(f329(f329(x127981,x127982),f329(f187(x127983,x127984,x127981),x127982)),f329(f187(x127983,x127984,x127981),f329(a117,x127982)))),
% 191.35/191.54 inference(rename_variables,[],[3823])).
% 191.35/191.54 cnf(12800,plain,
% 191.35/191.54 (P44(x128001,f268(x128001,x128002))),
% 191.35/191.54 inference(rename_variables,[],[3292])).
% 191.35/191.54 cnf(12804,plain,
% 191.35/191.54 (P63(x128041,f191(f916(x128041,a903)),x128042)),
% 191.35/191.54 inference(rename_variables,[],[3444])).
% 191.35/191.54 cnf(12812,plain,
% 191.35/191.54 (P60(x128121,x128122,f268(x128121,x128122))),
% 191.35/191.54 inference(rename_variables,[],[3393])).
% 191.35/191.54 cnf(12814,plain,
% 191.35/191.54 (P60(x128141,x128142,f268(x128141,x128142))),
% 191.35/191.54 inference(rename_variables,[],[3393])).
% 191.35/191.54 cnf(12816,plain,
% 191.35/191.54 (P60(x128161,x128162,f268(x128161,x128162))),
% 191.35/191.54 inference(rename_variables,[],[3393])).
% 191.35/191.54 cnf(12824,plain,
% 191.35/191.54 (P29(x128241,x128242,f191(f916(f907(x128241),a903)))),
% 191.35/191.54 inference(rename_variables,[],[3480])).
% 191.35/191.54 cnf(12830,plain,
% 191.35/191.54 (P31(x128301,x128301,f33(x128301),x128302,x128302)),
% 191.35/191.54 inference(rename_variables,[],[4083])).
% 191.35/191.54 cnf(12832,plain,
% 191.35/191.54 (P31(x128321,x128321,f33(x128321),x128322,x128322)),
% 191.35/191.54 inference(rename_variables,[],[4083])).
% 191.35/191.54 cnf(12834,plain,
% 191.35/191.54 (P31(x128341,x128341,f33(x128341),x128342,x128342)),
% 191.35/191.54 inference(rename_variables,[],[4083])).
% 191.35/191.54 cnf(12838,plain,
% 191.35/191.54 (P30(x128381,x128381,f5(x128381),x128382)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12840,plain,
% 191.35/191.54 (P30(x128401,x128401,f5(x128401),x128402)),
% 191.35/191.54 inference(rename_variables,[],[3662])).
% 191.35/191.54 cnf(12847,plain,
% 191.35/191.54 (E(f329(f287(x128471,x128471),f268(x128471,x128472)),x128472)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12849,plain,
% 191.35/191.54 (E(f329(f287(x128491,x128491),f268(x128491,x128492)),x128492)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12851,plain,
% 191.35/191.54 (E(f329(f287(x128511,x128511),f268(x128511,x128512)),x128512)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12853,plain,
% 191.35/191.54 (E(f329(f287(x128531,x128531),f268(x128531,x128532)),x128532)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12860,plain,
% 191.35/191.54 (E(f191(f916(f915(x128601,x128601),a903)),f268(x128601,f191(f916(x128601,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3496])).
% 191.35/191.54 cnf(12862,plain,
% 191.35/191.54 (E(f329(f287(x128621,x128621),f268(x128621,x128622)),x128622)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12864,plain,
% 191.35/191.54 (P50(x128641,x128642,x128643,x128644,f191(f916(x128641,a903)),x128644)),
% 191.35/191.54 inference(rename_variables,[],[4358])).
% 191.35/191.54 cnf(12873,plain,
% 191.35/191.54 (P38(x128731,x128732,f118(x128731),f118(x128731))),
% 191.35/191.54 inference(rename_variables,[],[3670])).
% 191.35/191.54 cnf(12875,plain,
% 191.35/191.54 (P38(x128751,x128752,f118(x128751),f118(x128751))),
% 191.35/191.54 inference(rename_variables,[],[3670])).
% 191.35/191.54 cnf(12879,plain,
% 191.35/191.54 (P62(x128791,x128791,f268(x128791,x128792))),
% 191.35/191.54 inference(rename_variables,[],[3394])).
% 191.35/191.54 cnf(12889,plain,
% 191.35/191.54 (P19(x128891,f916(x128891,a903),f311(x128891))),
% 191.35/191.54 inference(rename_variables,[],[3397])).
% 191.35/191.54 cnf(12893,plain,
% 191.35/191.54 (E(f329(f287(x128931,x128931),f268(x128931,x128932)),x128932)),
% 191.35/191.54 inference(rename_variables,[],[3384])).
% 191.35/191.54 cnf(12910,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x129101),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12912,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),a85),f2(a1)))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3100,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3193,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,3355,12584,12588,12592,3361,3370,3883,4187,3492,12646,12727,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3804,4560,3266,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,4016,4649,11186,11277,11514,11517,3823,12798,3529,3747,4627,3496,12860,3318,10513,10832,3319,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,4655,11707,11738,11773,11780,11813,3863,3629,4008,3453,3454,3428,4639,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,4242,4645,3916,3951,4630,4633,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,12630,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,4664,11830,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,4205,3904,3849,4662,10465,10468,10823,10826,11704,11893,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,684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% 191.35/191.54 cnf(12919,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x129191)),f329(f81(a1),f329(f105(a1),x129192))))),
% 191.35/191.54 inference(rename_variables,[],[4660])).
% 191.35/191.54 cnf(12929,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x129291),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12932,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x129321),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12935,plain,
% 191.35/191.54 (P1(f329(f62(a908),f307(a908,x129351,x129352)))),
% 191.35/191.54 inference(rename_variables,[],[3630])).
% 191.35/191.54 cnf(12938,plain,
% 191.35/191.54 (P1(f329(f62(a908),f307(a908,x129381,x129382)))),
% 191.35/191.54 inference(rename_variables,[],[3630])).
% 191.35/191.54 cnf(12941,plain,
% 191.35/191.54 (P1(f329(f62(a908),f307(a908,x129411,x129412)))),
% 191.35/191.54 inference(rename_variables,[],[3630])).
% 191.35/191.54 cnf(12944,plain,
% 191.35/191.54 (P1(f329(f62(a908),f307(a908,x129441,x129442)))),
% 191.35/191.54 inference(rename_variables,[],[3630])).
% 191.35/191.54 cnf(12951,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),x129511))),f329(f105(a1),x129512)))),
% 191.35/191.54 inference(rename_variables,[],[3905])).
% 191.35/191.54 cnf(12953,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f2(a1))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3100,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3192,3193,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,3355,12584,12588,12592,3361,3370,3883,4187,3492,12646,12727,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,4016,4649,11186,11277,11514,11517,3823,12798,3529,3747,4627,3496,12860,3318,10513,10832,3319,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,4655,11707,11738,11773,11780,11813,3863,3629,3630,12935,12938,12941,4008,3453,3454,3428,4639,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,11956,4242,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,12630,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,4205,3904,3849,3850,4662,10465,10468,10823,10826,11704,11893,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6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% 191.35/191.54 cnf(12956,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x129561),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(12957,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x129571),x129571))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12964,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x129641),f329(a117,x129641)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(12968,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f2(a1)),f329(f108(a1),f2(a1))))),
% 191.35/191.54 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3093,3100,3101,3102,3104,3105,3112,3113,3122,3131,3132,3149,3192,3193,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,3355,12584,12588,12592,3361,3370,3883,4187,3492,12646,12727,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,4016,4649,11186,11277,11514,11517,3823,12798,3529,3747,4627,3496,12860,3318,10513,10832,3319,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3766,3940,3985,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,4655,11707,11738,11773,11780,11813,3863,3629,3630,12935,12938,12941,4008,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,3501,12307,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,3486,10829,10859,10868,10871,11456,12653,3525,3518,3944,3881,10492,11836,11864,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,3905,11956,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,12630,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,4205,3904,3849,3850,4662,10465,10468,10823,10826,11704,11893,4663,11810,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,653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% 191.35/191.54 cnf(12971,plain,
% 191.35/191.54 (P1(f329(f329(f240(a1),x129711),x129711))),
% 191.35/191.54 inference(rename_variables,[],[3427])).
% 191.35/191.54 cnf(12974,plain,
% 191.35/191.54 (P1(f329(f62(a908),f307(a908,x129741,x129742)))),
% 191.35/191.54 inference(rename_variables,[],[3630])).
% 191.35/191.54 cnf(12977,plain,
% 191.35/191.54 (P1(f329(f62(a908),f307(a908,x129771,x129772)))),
% 191.35/191.54 inference(rename_variables,[],[3630])).
% 191.35/191.54 cnf(12980,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x129801),x129801))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(12981,plain,
% 191.35/191.54 (~E(f329(a117,x129811),f2(a908))),
% 191.35/191.54 inference(rename_variables,[],[4589])).
% 191.35/191.54 cnf(12998,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f46(a908,x129981,x129982)),x129981))),
% 191.35/191.54 inference(rename_variables,[],[3881])).
% 191.35/191.54 cnf(13003,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x130031),f329(a117,x130031)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(13006,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x130061),f329(a117,x130061)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(13007,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a908),x130071),f2(a908)))),
% 191.35/191.54 inference(rename_variables,[],[4642])).
% 191.35/191.54 cnf(13016,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x130161)),f2(a1)))),
% 191.35/191.54 inference(rename_variables,[],[4655])).
% 191.35/191.54 cnf(13017,plain,
% 191.35/191.54 (P1(f329(f247(f916(x130171,a903)),x130172))),
% 191.35/191.54 inference(rename_variables,[],[3486])).
% 191.35/191.54 cnf(13020,plain,
% 191.35/191.54 (~P1(f329(f329(f241(a1),f329(f105(a1),x130201)),f2(a1)))),
% 191.35/191.54 inference(rename_variables,[],[4655])).
% 191.35/191.54 cnf(13021,plain,
% 191.35/191.54 (P1(f329(f247(f916(x130211,a903)),x130212))),
% 191.35/191.54 inference(rename_variables,[],[3486])).
% 191.35/191.54 cnf(13024,plain,
% 191.35/191.54 (P1(f329(f247(f916(x130241,a903)),x130242))),
% 191.35/191.54 inference(rename_variables,[],[3486])).
% 191.35/191.54 cnf(13035,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x130351),x130352),f191(f916(x130351,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(13036,plain,
% 191.35/191.54 (P1(f329(f62(x130361),f191(f916(x130361,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3501])).
% 191.35/191.54 cnf(13045,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),f2(a908)),x130451))),
% 191.35/191.54 inference(rename_variables,[],[3446])).
% 191.35/191.54 cnf(13048,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x130481),x130482),f191(f916(x130481,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(13051,plain,
% 191.35/191.54 (~P1(f329(f329(f331(x130511),x130512),f191(f916(x130511,a903))))),
% 191.35/191.54 inference(rename_variables,[],[4651])).
% 191.35/191.54 cnf(13054,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x130541),x130541))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(13062,plain,
% 191.35/191.54 (P1(f329(f329(f241(a908),x130621),f329(a117,x130621)))),
% 191.35/191.54 inference(rename_variables,[],[3493])).
% 191.35/191.54 cnf(13065,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x130651),x130651))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(13070,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x130701),x130701))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(13073,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x130731),x130731))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(13076,plain,
% 191.35/191.54 (P1(f329(f329(f240(a908),x130761),x130761))),
% 191.35/191.54 inference(rename_variables,[],[3426])).
% 191.35/191.54 cnf(13079,plain,
% 191.35/191.54 (E(f329(f329(f23(f916(x130791,a903)),f191(f916(x130791,a903))),x130792),f191(f916(x130791,a903)))),
% 191.35/191.54 inference(rename_variables,[],[3691])).
% 191.35/191.54 cnf(13080,plain,
% 191.35/191.54 (P1(f329(f62(x130801),f191(f916(x130801,a903))))),
% 191.35/191.54 inference(rename_variables,[],[3501])).
% 191.35/191.54 cnf(13083,plain,
% 191.35/191.54 (E(f329(f329(f23(f916(x130831,a903)),f191(f916(x130831,a903))),x130832),f191(f916(x130831,a903)))),
% 191.35/191.54 inference(rename_variables,[],[3691])).
% 191.35/191.54 cnf(13084,plain,
% 191.35/191.55 (P1(f329(f62(x130841),f191(f916(x130841,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3501])).
% 191.35/191.55 cnf(13087,plain,
% 191.35/191.55 (E(f329(f329(f23(f916(x130871,a903)),f191(f916(x130871,a903))),x130872),f191(f916(x130871,a903)))),
% 191.35/191.55 inference(rename_variables,[],[3691])).
% 191.35/191.55 cnf(13088,plain,
% 191.35/191.55 (P1(f329(f62(x130881),f191(f916(x130881,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3501])).
% 191.35/191.55 cnf(13091,plain,
% 191.35/191.55 (E(f329(f329(f23(f916(x130911,a903)),f191(f916(x130911,a903))),x130912),f191(f916(x130911,a903)))),
% 191.35/191.55 inference(rename_variables,[],[3691])).
% 191.35/191.55 cnf(13092,plain,
% 191.35/191.55 (P1(f329(f62(x130921),f191(f916(x130921,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3501])).
% 191.35/191.55 cnf(13096,plain,
% 191.35/191.55 (E(f329(f287(x130961,x130961),f268(x130961,x130962)),x130962)),
% 191.35/191.55 inference(rename_variables,[],[3384])).
% 191.35/191.55 cnf(13101,plain,
% 191.35/191.55 (E(f329(f329(f23(f916(x131011,a903)),f191(f916(x131011,a903))),x131012),f191(f916(x131011,a903)))),
% 191.35/191.55 inference(rename_variables,[],[3691])).
% 191.35/191.55 cnf(13102,plain,
% 191.35/191.55 (P1(f329(f62(x131021),f191(f916(x131021,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3501])).
% 191.35/191.55 cnf(13106,plain,
% 191.35/191.55 (P1(f329(f62(x131061),f191(f916(x131061,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3501])).
% 191.35/191.55 cnf(13109,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x131091),x131091))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13113,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),x131131),x131131))),
% 191.35/191.55 inference(rename_variables,[],[3427])).
% 191.35/191.55 cnf(13120,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x131201),x131201))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13133,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x131331),x131331))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13136,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),x131361),x131361))),
% 191.35/191.55 inference(rename_variables,[],[3427])).
% 191.35/191.55 cnf(13143,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x131431),x131432),f191(f916(x131431,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13154,plain,
% 191.35/191.55 (P1(f329(f329(f331(x131541),x131542),f247(f916(x131541,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3578])).
% 191.35/191.55 cnf(13155,plain,
% 191.35/191.55 (E(f329(f195(x131551,x131552),x131553),f125(x131551,x131552))),
% 191.35/191.55 inference(rename_variables,[],[3338])).
% 191.35/191.55 cnf(13161,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x131611,a903)),x131612),f247(f916(x131611,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3806])).
% 191.35/191.55 cnf(13164,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x131641,a903)),x131642),x131642))),
% 191.35/191.55 inference(rename_variables,[],[3720])).
% 191.35/191.55 cnf(13170,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a908),x131701),f2(a908)))),
% 191.35/191.55 inference(rename_variables,[],[4642])).
% 191.35/191.55 cnf(13171,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),x131711),x131711))),
% 191.35/191.55 inference(rename_variables,[],[3427])).
% 191.35/191.55 cnf(13175,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a908),x131751),f2(a908)))),
% 191.35/191.55 inference(rename_variables,[],[4642])).
% 191.35/191.55 cnf(13176,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),x131761),x131761))),
% 191.35/191.55 inference(rename_variables,[],[3427])).
% 191.35/191.55 cnf(13181,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x131811),x131811))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13188,plain,
% 191.35/191.55 (E(f329(f329(f16(x131881,x131882),x131883),x131884),x131883)),
% 191.35/191.55 inference(rename_variables,[],[3415])).
% 191.35/191.55 cnf(13191,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x131911,a903)),f329(f175(x131911),f179(x131911,x131912,x131913))),f329(f175(x131911),x131912)))),
% 191.35/191.55 inference(rename_variables,[],[4117])).
% 191.35/191.55 cnf(13193,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),f509(f329(x131931,f2(a908)),x131931,f2(a908))),f2(a908)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,4016,4649,11186,11277,11514,11517,3823,12798,3529,3747,4627,3496,12860,3318,10513,10832,3319,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,4008,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,12441,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908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% 191.35/191.55 cnf(13195,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a908),x131951),f2(a908)))),
% 191.35/191.55 inference(rename_variables,[],[4642])).
% 191.35/191.55 cnf(13196,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),x131961),x131961))),
% 191.35/191.55 inference(rename_variables,[],[3427])).
% 191.35/191.55 cnf(13200,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a908),x132001),f2(a908)))),
% 191.35/191.55 inference(rename_variables,[],[4642])).
% 191.35/191.55 cnf(13201,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),x132011),x132011))),
% 191.35/191.55 inference(rename_variables,[],[3427])).
% 191.35/191.55 cnf(13205,plain,
% 191.35/191.55 (~P1(f329(f329(f240(f916(a908,a903)),f305(a908,f329(a117,x132051),f329(a117,x132051))),f305(a908,x132052,x132051)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,4016,4649,11186,11277,11514,11517,3823,12798,3529,3747,4627,3496,12860,3318,10513,10832,3319,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,4008,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,12441,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652])).
% 191.35/191.55 cnf(13206,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x132061),x132061))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13208,plain,
% 191.35/191.55 (~P1(f329(f329(f241(f916(a908,a903)),f305(a908,f329(a117,x132081),f329(a117,x132081))),f305(a908,x132082,x132081)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,4016,4649,11186,11277,11514,11517,3823,12798,3529,3747,4627,3496,12860,3318,10513,10832,3319,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,4008,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,3446,10862,11014,11089,11865,12007,12204,12416,12441,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653])).
% 191.35/191.55 cnf(13209,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x132091),x132091))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13212,plain,
% 191.35/191.55 (~P1(f329(f329(f240(a908),f329(a117,x132121)),x132121))),
% 191.35/191.55 inference(rename_variables,[],[4648])).
% 191.35/191.55 cnf(13217,plain,
% 191.35/191.55 (E(x132171,f486(f329(f5(x132172),f329(f5(x132172),x132171)),f5(x132172),x132172,x132172))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,4016,4649,11186,11277,11514,11517,3823,12798,3529,3747,4627,3496,12860,3318,10513,10832,3319,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,4008,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,4659,10958,11355,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,4631,3736,11829,11913,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,3871,11129,11135,11151,12125,12254,12347,12627,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,4199,3873,10865,11228,11398,11432,11443,12566,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,58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8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799])).
% 191.35/191.55 cnf(13218,plain,
% 191.35/191.55 (P1(f329(f329(f331(x132181),f329(x132182,x132183)),f329(f312(x132184,x132181,x132182),f247(f916(x132184,a903)))))),
% 191.35/191.55 inference(rename_variables,[],[4026])).
% 191.35/191.55 cnf(13219,plain,
% 191.35/191.55 (P30(x132191,x132191,f5(x132191),x132192)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13223,plain,
% 191.35/191.55 (P1(f329(f329(f331(x132231),x132232),f247(f916(x132231,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3578])).
% 191.35/191.55 cnf(13224,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x132241),x132242),f191(f916(x132241,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13228,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x132281,a903)),x132282),f247(f916(x132281,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3806])).
% 191.35/191.55 cnf(13229,plain,
% 191.35/191.55 (P30(x132291,x132291,f5(x132291),x132292)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13233,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x132331,a903)),x132332),f247(f916(x132331,a903))))),
% 191.35/191.55 inference(rename_variables,[],[3806])).
% 191.35/191.55 cnf(13234,plain,
% 191.35/191.55 (P30(x132341,x132341,f5(x132341),x132342)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13238,plain,
% 191.35/191.55 (P30(x132381,x132381,f5(x132381),x132382)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13241,plain,
% 191.35/191.55 (~P1(f329(f329(f241(f916(x132411,a903)),x132412),f191(f916(x132411,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4659])).
% 191.35/191.55 cnf(13244,plain,
% 191.35/191.55 (P30(x132441,x132441,f5(x132441),x132442)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13247,plain,
% 191.35/191.55 (P30(x132471,x132471,f5(x132471),x132472)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13258,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x132581,a903)),f191(f916(x132581,a903))),x132582))),
% 191.35/191.55 inference(rename_variables,[],[3873])).
% 191.35/191.55 cnf(13262,plain,
% 191.35/191.55 (E(f329(f287(x132621,x132621),f268(x132621,x132622)),x132622)),
% 191.35/191.55 inference(rename_variables,[],[3384])).
% 191.35/191.55 cnf(13266,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x132661),x132662),f191(f916(x132661,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13271,plain,
% 191.35/191.55 (P30(x132711,x132711,f5(x132711),x132712)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13281,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x132811),x132812),f191(f916(x132811,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13284,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x132841),x132842),f191(f916(x132841,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13287,plain,
% 191.35/191.55 (P1(f329(f329(f241(a908),x132871),f329(a117,x132871)))),
% 191.35/191.55 inference(rename_variables,[],[3493])).
% 191.35/191.55 cnf(13288,plain,
% 191.35/191.55 (~E(f329(a117,x132881),x132881)),
% 191.35/191.55 inference(rename_variables,[],[4579])).
% 191.35/191.55 cnf(13291,plain,
% 191.35/191.55 (P1(f329(f329(f241(a908),x132911),f329(a117,f329(f329(f82(a908),x132912),x132911))))),
% 191.35/191.55 inference(rename_variables,[],[3874])).
% 191.35/191.55 cnf(13292,plain,
% 191.35/191.55 (P1(f329(f329(f241(a908),x132921),f329(a117,x132921)))),
% 191.35/191.55 inference(rename_variables,[],[3493])).
% 191.35/191.55 cnf(13294,plain,
% 191.35/191.55 (~E(f329(f329(f83(a908),f329(a117,f2(a908))),f124(x132941)),f329(f329(f83(a908),f329(a117,f2(a908))),f130(x132941,x132942,x132943)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,3031,3032,3035,3036,3040,3041,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,4008,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,4117,11209,12320,12396,12456,12503,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,4631,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,4199,3873,10865,11228,11398,11432,11443,12566,12616,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597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35,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621])).
% 191.35/191.55 cnf(13301,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x133011)))),
% 191.35/191.55 inference(rename_variables,[],[3525])).
% 191.35/191.55 cnf(13306,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),f2(a908)),x133061))),
% 191.35/191.55 inference(rename_variables,[],[3446])).
% 191.35/191.55 cnf(13310,plain,
% 191.35/191.55 (~E(f329(a117,x133101),f2(a908))),
% 191.35/191.55 inference(rename_variables,[],[4589])).
% 191.35/191.55 cnf(13315,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x133151),x133152),f191(f916(x133151,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13318,plain,
% 191.35/191.55 (P1(f329(f62(a908),f307(a908,x133181,x133182)))),
% 191.35/191.55 inference(rename_variables,[],[3630])).
% 191.35/191.55 cnf(13319,plain,
% 191.35/191.55 (E(f329(f329(f238(a908),f329(a117,x133191)),f329(a117,x133192)),f329(a117,f329(f329(f238(a908),x133191),x133192)))),
% 191.35/191.55 inference(rename_variables,[],[3594])).
% 191.35/191.55 cnf(13322,plain,
% 191.35/191.55 (P1(f329(f62(a908),f307(a908,x133221,x133222)))),
% 191.35/191.55 inference(rename_variables,[],[3630])).
% 191.35/191.55 cnf(13323,plain,
% 191.35/191.55 (E(f329(f329(f239(a908),f329(a117,x133231)),f329(a117,x133232)),f329(a117,f329(f329(f239(a908),x133231),x133232)))),
% 191.35/191.55 inference(rename_variables,[],[3595])).
% 191.35/191.55 cnf(13326,plain,
% 191.35/191.55 (P1(f329(f62(a908),f307(a908,x133261,x133262)))),
% 191.35/191.55 inference(rename_variables,[],[3630])).
% 191.35/191.55 cnf(13335,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x133351),x133352),f191(f916(x133351,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13336,plain,
% 191.35/191.55 (E(f329(f329(f16(x133361,x133362),x133363),x133364),x133363)),
% 191.35/191.55 inference(rename_variables,[],[3415])).
% 191.35/191.55 cnf(13339,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x133391,a903)),f329(f175(x133391),f329(f139(x133391,x133392),x133393))),f329(f175(x133391),x133393)))),
% 191.35/191.55 inference(rename_variables,[],[4068])).
% 191.35/191.55 cnf(13340,plain,
% 191.35/191.55 (E(f329(f329(f16(x133401,x133402),x133403),x133404),x133403)),
% 191.35/191.55 inference(rename_variables,[],[3415])).
% 191.35/191.55 cnf(13343,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x133431,a903)),f329(f175(x133431),f329(f329(f178(x133431),x133432),x133433))),f329(f175(x133431),x133433)))),
% 191.35/191.55 inference(rename_variables,[],[4112])).
% 191.35/191.55 cnf(13344,plain,
% 191.35/191.55 (E(f329(f329(f16(x133441,x133442),x133443),x133444),x133443)),
% 191.35/191.55 inference(rename_variables,[],[3415])).
% 191.35/191.55 cnf(13348,plain,
% 191.35/191.55 (E(f329(f329(f16(x133481,x133482),x133483),x133484),x133483)),
% 191.35/191.55 inference(rename_variables,[],[3415])).
% 191.35/191.55 cnf(13361,plain,
% 191.35/191.55 (P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x133611)))),
% 191.35/191.55 inference(rename_variables,[],[3525])).
% 191.35/191.55 cnf(13364,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x133641),x133642),f191(f916(x133641,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13365,plain,
% 191.35/191.55 (E(f329(f287(x133651,x133651),f268(x133651,x133652)),x133652)),
% 191.35/191.55 inference(rename_variables,[],[3384])).
% 191.35/191.55 cnf(13366,plain,
% 191.35/191.55 (P30(x133661,x133661,f5(x133661),x133662)),
% 191.35/191.55 inference(rename_variables,[],[3662])).
% 191.35/191.55 cnf(13370,plain,
% 191.35/191.55 (E(f329(f287(x133701,x133701),f268(x133701,x133702)),x133702)),
% 191.35/191.55 inference(rename_variables,[],[3384])).
% 191.35/191.55 cnf(13377,plain,
% 191.35/191.55 (P1(f329(f329(f241(f916(a1,a903)),f305(a1,f2(a1),f2(a1))),f305(a1,f329(f81(a1),f329(f105(a1),f329(a117,x133771))),f2(a1))))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,3031,3032,3035,3036,3040,3041,3047,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,3876,11833,3408,3505,11664,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546])).
% 191.35/191.55 cnf(13384,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),f2(a908)),x133841))),
% 191.35/191.55 inference(rename_variables,[],[3446])).
% 191.35/191.55 cnf(13385,plain,
% 191.35/191.55 (P1(f329(f329(f241(a908),f2(a908)),f329(a117,x133851)))),
% 191.35/191.55 inference(rename_variables,[],[3505])).
% 191.35/191.55 cnf(13386,plain,
% 191.35/191.55 (E(f329(f287(x133861,x133861),f268(x133861,x133862)),x133862)),
% 191.35/191.55 inference(rename_variables,[],[3384])).
% 191.35/191.55 cnf(13389,plain,
% 191.35/191.55 (P1(f329(f49(f329(f287(x133891,x133891),f268(x133891,f329(f329(f82(a908),f329(f329(f83(a908),f329(f256(a908,a908),f329(f329(f257(a908,a908),f2(a908)),x133892))),f329(a117,f329(f329(f82(a908),x133893),f329(f261(a908,a908),f329(f329(f257(a908,a908),f2(a908)),x133892)))))),f329(f261(a908,a908),f329(f329(f257(a908,a908),f2(a908)),x133892))))),f329(a117,f329(f329(f82(a908),x133893),f329(f261(a908,a908),f329(f329(f257(a908,a908),f2(a908)),x133892))))),f329(f329(f257(a908,a908),f2(a908)),x133892)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546,9009,9028])).
% 191.35/191.55 cnf(13405,plain,
% 191.35/191.55 (E(f329(f329(f82(a908),f2(a908)),f866(f329(a117,f2(a908)),f2(a908))),f2(a908))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3051,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3088,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,13200,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,4118,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,13361,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546,9009,9028,9974,10339,4726,4758])).
% 191.35/191.55 cnf(13465,plain,
% 191.35/191.55 (~P20(x134651,f260(x134652,x134653,a903,f329(f175(x134654),f118(x134654))))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3051,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3088,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,13200,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,4118,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,13361,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546,9009,9028,9974,10339,4726,4758,4759,4760,4763,4809,4813,4818,4956,4971,5003,5004,5035,5094,5097,5156,5273,5293,5331,5332,5334,5341,5342,5366,5410,5441,5463,5593,5665,5666,5667,5728])).
% 191.35/191.55 cnf(13467,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a1),f2(a1)),f2(a1)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3051,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3088,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,13200,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,4118,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,13361,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546,9009,9028,9974,10339,4726,4758,4759,4760,4763,4809,4813,4818,4956,4971,5003,5004,5035,5094,5097,5156,5273,5293,5331,5332,5334,5341,5342,5366,5410,5441,5463,5593,5665,5666,5667,5728,5786])).
% 191.35/191.55 cnf(13469,plain,
% 191.35/191.55 (P1(f329(f329(f241(a1),f2(a1)),f329(f77(a1),f80(a1))))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3051,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3088,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,13200,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,4118,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,13361,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546,9009,9028,9974,10339,4726,4758,4759,4760,4763,4809,4813,4818,4956,4971,5003,5004,5035,5094,5097,5156,5273,5293,5331,5332,5334,5341,5342,5366,5410,5441,5463,5593,5665,5666,5667,5728,5786,5787])).
% 191.35/191.55 cnf(13483,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a908),f329(a117,f329(f329(f82(a908),x134831),x134832))),f329(a117,x134831)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3051,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3088,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,13200,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,4118,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,13361,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546,9009,9028,9974,10339,4726,4758,4759,4760,4763,4809,4813,4818,4956,4971,5003,5004,5035,5094,5097,5156,5273,5293,5331,5332,5334,5341,5342,5366,5410,5441,5463,5593,5665,5666,5667,5728,5786,5787,5813,5817,5875,5877,5886,5892,5972])).
% 191.35/191.55 cnf(13489,plain,
% 191.35/191.55 (~P1(f329(f62(x134891),f38(f916(x134891,a903),f247(f916(f916(x134891,a903),a903)))))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3051,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3088,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,13200,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,4118,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,13361,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5710,5714,5723,5724,5726,5727,5743,5747,5758,5759,5770,5777,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6200,6202,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6483,6484,6485,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6750,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7217,7272,7293,7302,7305,7368,7378,7442,7444,7458,7469,7470,7471,7487,7491,7493,7542,7552,7558,7573,7622,7624,7627,7668,7669,7687,7749,7756,7774,7798,7821,7833,7848,7859,7870,7871,7899,7901,7903,7913,7955,7967,7992,8052,8084,8119,8166,8182,8184,8199,8200,8275,8343,8367,8386,8413,8414,8496,8511,8513,8515,8521,8538,8542,8557,8581,8592,8594,8607,8612,8616,8617,8618,8619,8620,8621,8645,8659,8660,8677,8678,8683,8684,8685,8686,8687,8705,8706,8707,8716,8729,8732,8743,8747,8749,8750,8751,8752,8759,8764,8772,8775,8792,8793,8824,8837,8841,8859,8880,8881,8882,8883,8898,8899,8922,8931,8941,8942,8943,8946,8967,8968,8979,9030,9036,9042,9044,9062,9065,9075,9076,9077,9087,9154,9185,9186,9187,9201,9218,9226,9227,9255,9256,9257,9258,9259,9261,9309,9335,9370,9380,9381,9382,9392,9419,9435,9439,9442,9465,9466,9493,9555,9560,9563,9596,9597,9598,9623,9624,9640,9660,9666,9678,9703,9724,9733,9734,9735,9736,9753,9755,9760,9790,9791,9797,9798,9843,9844,9854,9878,9897,9899,9900,9909,9921,9946,9979,9981,9985,10033,10074,10075,10077,10086,10087,10107,10112,10203,10289,10290,10354,10369,2,8,9,4692,4693,4711,4753,4754,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5561,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5704,5706,5707,5708,5735,5745,5761,5762,5771,5772,5774,5776,5781,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6068,6072,6075,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6437,6438,6441,6456,6471,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6592,6593,6595,6596,6602,6604,6648,6653,6668,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6768,6769,6771,6772,6784,6789,6809,6812,6830,6857,6860,6861,6862,6868,6882,6901,6903,6905,6907,6912,6918,6920,6934,6939,6940,6975,6976,6977,6991,6992,6994,6995,7014,7016,7033,7058,7081,7092,7094,7096,7098,7099,7131,7132,7135,7136,7143,7144,7146,7148,7170,7179,7180,7191,7201,7241,7251,7255,7262,7273,7278,7280,7287,7296,7309,7326,7347,7349,7366,7371,7424,7425,7426,7428,7431,7435,7441,7443,7506,7525,7538,7555,7556,7572,7604,7607,7614,7630,7652,7670,7673,7674,7684,7704,7706,7708,7710,7711,7712,7737,7764,7765,7797,7799,7800,7801,7806,7827,7845,7850,7856,7858,7866,7878,7879,7881,7904,7911,7938,8005,8006,8007,8055,8062,8063,8086,8087,8106,8107,8108,8173,8174,8202,8203,8235,8245,8256,8267,8298,8302,8308,8320,8338,8344,8366,8411,8443,8455,8474,8477,8504,8529,8595,8596,8599,8600,8709,8710,8711,8712,8738,8767,8796,8840,8858,8900,8916,8960,8963,8976,8983,9027,9071,9072,9089,9090,9103,9223,9229,9233,9253,9271,9296,9298,9301,9307,9310,9311,9321,9322,9342,9348,9357,9364,9405,9423,9443,9478,9479,9485,9546,9552,9592,9602,9605,9606,9608,9609,9622,9645,9659,9668,9669,9671,9673,9702,9824,9825,9873,9874,9914,9952,10060,10116,10179,10265,10281,10286,3,2755,2761,2762,2764,2770,2777,2779,2780,2781,2782,2783,2784,2800,2801,2806,2807,2810,2811,2812,2815,2816,2818,2820,2821,2822,2823,2824,2827,2828,2830,2831,2833,2834,2835,2836,2837,2838,2840,2843,2844,2846,2851,2852,2853,2855,2856,2858,2859,2860,2861,2862,2863,2871,2875,2877,2878,2881,2882,2883,2886,2888,2896,2909,2912,2913,2914,2924,2938,2940,2941,2942,2943,2944,2950,2951,2952,2954,2957,2975,2977,2982,2983,3015,5394,5433,5577,5578,5579,5660,5760,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6128,6138,6163,6198,6235,6382,6387,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6707,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7151,7152,7190,7235,7236,7333,7404,7405,7406,7407,7422,7459,7511,7512,7521,7529,7530,7541,7575,7576,7577,7578,7718,7719,7721,7723,7729,7730,7946,7952,7953,7964,8002,8003,8082,8127,8186,8208,8209,8283,8379,8453,8454,8456,8489,8553,8554,8630,8652,8653,8654,8655,8799,9020,9046,9047,9118,9133,9188,9189,9318,9351,9375,9406,9448,9643,9910,10085,10141,10143,6531,6532,6621,6641,6642,6698,7055,7271,8724,8954,9144,9145,9214,9215,9402,9495,9496,9497,9498,9705,9973,10340,10341,6601,8545,8546,9009,9028,9974,10339,4726,4758,4759,4760,4763,4809,4813,4818,4956,4971,5003,5004,5035,5094,5097,5156,5273,5293,5331,5332,5334,5341,5342,5366,5410,5441,5463,5593,5665,5666,5667,5728,5786,5787,5813,5817,5875,5877,5886,5892,5972,6051,6205,6369])).
% 191.35/191.55 cnf(13499,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a908),f2(a908)),f191(a908)))),
% 191.35/191.55 inference(scs_inference,[],[4665,4083,12649,12830,12832,12834,3638,12289,12311,12760,12762,3662,11272,12326,12426,12429,12524,12559,12563,12571,12643,12838,12840,13219,13229,13234,13238,13244,13247,13271,13366,3670,12393,12873,12875,3679,3393,12812,12814,12816,3394,12879,3360,12724,4612,4613,11910,4358,12864,3397,12889,3234,3291,12789,3292,12800,3293,3294,3295,12599,12781,4611,3722,4579,10383,10393,10406,10417,10521,10524,10527,10622,10753,11061,11250,11253,11473,11556,11563,11577,11623,11626,11648,11665,11680,11743,11800,11816,12104,12129,12144,12173,12179,12271,12389,12552,12613,12756,13288,4592,10606,10705,11160,3481,3444,12804,3628,3344,4589,11082,12981,13310,3031,3032,3035,3036,3040,3041,3047,3050,3051,3053,3054,3055,3059,3070,3071,3073,3074,3076,3077,3080,3081,3082,3084,3088,3090,3091,3093,3100,3101,3102,3104,3105,3109,3112,3113,3122,3125,3128,3131,3132,3136,3149,3151,3152,3153,3163,3192,3193,3194,3195,3204,3315,4574,3216,3290,4575,3760,3989,11847,3268,11553,3406,3381,3384,10452,10455,10548,10551,10856,11568,11571,11691,11730,11735,11842,11882,12292,12500,12702,12758,12768,12777,12779,12847,12849,12851,12853,12862,12893,13096,13262,13365,13370,13386,3355,12584,12588,12592,3361,3370,3883,4187,3338,13155,3492,12646,12727,3257,3258,3622,3975,11599,3480,12824,3323,3254,3282,3799,12794,3278,4092,3983,3302,3804,4560,3266,3244,3895,3301,3482,11011,11138,12390,12603,3354,4057,4602,10443,10603,11470,11651,12548,12585,12589,4609,12556,3415,11929,11932,13188,13336,13340,13344,13348,4016,4649,11186,11277,11514,11517,3823,12798,3410,3529,3747,3521,4627,3496,12860,3318,10513,10832,3319,4636,3582,3311,3235,3340,11589,4201,12574,12714,4059,11206,11331,11401,12532,12538,12663,12666,12692,4668,11116,11344,11464,11487,11522,11528,12479,4669,11239,11347,11467,11525,4670,11350,11412,4671,11419,4672,3339,3620,12432,12476,12555,3787,3571,4472,4473,3604,3643,4600,11582,3764,3724,3766,3940,3691,13079,13083,13087,13091,13101,3985,12423,3606,3866,3493,10532,10645,10722,10792,10795,10835,10934,11176,11777,12100,12166,12242,12280,12367,12370,12696,12964,13003,13006,13062,13287,13292,3876,11833,3408,3505,11664,11944,13385,3685,4642,10420,10423,10449,10942,10955,11071,11506,11592,11776,11993,11998,12218,12221,12304,12482,12578,12910,12929,12932,12956,13007,13170,13175,13195,13200,4655,11707,11738,11773,11780,11813,13016,13020,3863,3629,3630,12935,12938,12941,12944,12974,12977,13318,13322,13326,4008,3594,13319,3595,13323,3453,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11484,3746,3465,11950,11953,12397,12504,12673,4647,10411,10414,10574,10666,10685,10692,10717,10725,10728,10742,10925,11163,11381,11658,11752,11901,12011,12014,4163,4122,12093,12447,4068,11008,12274,12457,12602,13339,4112,13343,4117,11209,12320,12396,12456,12503,13191,4118,3788,11784,12103,12249,12331,12380,4151,3806,11212,11282,11373,11438,12270,12348,12608,12689,12699,13161,13228,13233,4659,10958,11355,12460,13241,3425,10541,10632,10778,10842,11683,11904,11947,11978,12073,12128,12323,12341,12463,3426,10914,10961,10964,10995,11017,11055,11096,11132,12147,12150,12153,12156,12355,12358,12361,12364,12440,12619,12669,12957,12980,13054,13065,13070,13073,13076,13109,13120,13133,13181,13206,13209,3427,10619,10847,10937,11058,11981,11990,12079,12090,12109,12114,12159,12182,12199,12971,13113,13136,13171,13176,13196,13201,3501,12307,13036,13080,13084,13088,13092,13102,13106,4638,10460,10489,10979,11022,11031,11861,11885,12047,12050,12053,12056,12143,12162,12165,12178,12230,12233,12236,12239,12408,12411,12510,12513,12612,12652,12736,3578,10710,10798,11066,11113,11334,11337,11427,11503,11668,12132,12551,12739,13154,13223,4651,10988,10998,11105,11123,11126,11189,11192,11203,11296,11304,11318,11358,11386,11395,11435,11476,11481,11497,11500,11531,11536,11539,11783,11926,11959,12224,12227,12261,12308,12344,12488,12529,12535,12631,12634,12656,12713,12719,12730,12750,13035,13048,13051,13143,13224,13266,13281,13284,13315,13335,13364,3486,10829,10859,10868,10871,11456,12653,12670,13017,13021,13024,3525,13301,13361,3518,3944,3881,10492,11836,11864,12998,4648,10440,10817,10820,11299,11315,11799,11852,11889,12008,12035,12038,12041,12044,12303,13212,3446,10862,11014,11089,11865,12007,12204,12416,12441,13045,13306,13384,3905,11956,12951,4242,3635,4645,3916,3951,4630,4633,4634,3400,3405,4632,3401,3403,4631,4409,3736,11829,11913,12336,4336,11690,4661,10731,10734,4667,11195,11198,11389,11511,11545,4026,11542,11888,11892,12562,12570,12662,13218,3871,11129,11135,11151,12125,12254,12347,12627,12659,3720,11265,11392,12373,12485,12495,12567,12622,12630,12747,13164,4199,3873,10865,11228,11398,11432,11443,12566,12616,13258,3688,10781,10784,10874,11042,3687,4664,11830,4660,12919,4666,10625,10737,11376,12435,12444,12491,12683,12686,4297,11001,12453,12471,12494,4205,3904,12753,3849,3850,4662,10465,10468,10823,10826,11704,11893,12695,4663,11810,11898,3874,10787,11048,13291,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5072,5073,5095,5096,5110,5113,5138,5144,5160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% 191.35/191.55 cnf(13625,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x136251),x136251))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13633,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x136331,a903)),f329(f175(x136331),f179(x136331,x136332,x136333))),f329(f175(x136331),x136332)))),
% 191.35/191.55 inference(rename_variables,[],[4117])).
% 191.35/191.55 cnf(13642,plain,
% 191.35/191.55 (~P1(f329(f329(f331(f915(f909(x136421),f909(x136421))),f329(f329(f257(f909(x136421),f909(x136421)),f118(x136421)),x136422)),f160(x136421,x136423)))),
% 191.35/191.55 inference(rename_variables,[],[4672])).
% 191.35/191.55 cnf(13645,plain,
% 191.35/191.55 (~P1(f329(f329(f240(a908),f329(a117,x136451)),x136451))),
% 191.35/191.55 inference(rename_variables,[],[4648])).
% 191.35/191.55 cnf(13650,plain,
% 191.35/191.55 (~E(f329(f329(f154(x136501),x136502),x136503),x136503)),
% 191.35/191.55 inference(rename_variables,[],[4602])).
% 191.35/191.55 cnf(13659,plain,
% 191.35/191.55 (~P1(f329(f329(f240(a908),f329(f329(f83(a908),f329(a117,x136591)),f329(a117,x136591))),x136591))),
% 191.35/191.55 inference(rename_variables,[],[10873])).
% 191.35/191.55 cnf(13675,plain,
% 191.35/191.55 (E(f329(f312(x136751,x136751,f33(x136751)),x136752),x136752)),
% 191.35/191.55 inference(rename_variables,[],[3483])).
% 191.35/191.55 cnf(13690,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x136901),x136902),f191(f916(x136901,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13693,plain,
% 191.35/191.55 (~P1(f329(f329(f260(x136931,x136932,a903,f329(f175(x136933),f118(x136933))),x136934),x136935))),
% 191.35/191.55 inference(rename_variables,[],[11380])).
% 191.35/191.55 cnf(13703,plain,
% 191.35/191.55 (~E(f329(f329(f154(x137031),x137032),x137033),x137033)),
% 191.35/191.55 inference(rename_variables,[],[4602])).
% 191.35/191.55 cnf(13710,plain,
% 191.35/191.55 (~P1(f329(f329(f240(a908),f329(f329(f83(a908),f329(a117,x137101)),f329(a117,x137101))),x137101))),
% 191.35/191.55 inference(rename_variables,[],[10873])).
% 191.35/191.55 cnf(13713,plain,
% 191.35/191.55 (E(f329(f287(x137131,x137131),f268(x137131,x137132)),x137132)),
% 191.35/191.55 inference(rename_variables,[],[3384])).
% 191.35/191.55 cnf(13730,plain,
% 191.35/191.55 (~P1(f329(f329(f331(f915(x137301,x137301)),x137302),f268(x137301,f191(f916(x137301,a903)))))),
% 191.35/191.55 inference(rename_variables,[],[11122])).
% 191.35/191.55 cnf(13739,plain,
% 191.35/191.55 (E(f329(x137391,f329(f94(x137392,x137393,f247(f916(x137392,a903)),x137391),f329(x137391,x137394))),f329(x137391,x137394))),
% 191.35/191.55 inference(rename_variables,[],[11262])).
% 191.35/191.55 cnf(13742,plain,
% 191.35/191.55 (E(f329(x137421,f329(f94(x137422,x137423,f247(f916(x137422,a903)),x137421),f329(x137421,x137424))),f329(x137421,x137424))),
% 191.35/191.55 inference(rename_variables,[],[11262])).
% 191.35/191.55 cnf(13745,plain,
% 191.35/191.55 (~P1(f329(f329(f331(f915(x137451,x137451)),x137452),f268(x137451,f191(f916(x137451,a903)))))),
% 191.35/191.55 inference(rename_variables,[],[11122])).
% 191.35/191.55 cnf(13752,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x137521),x137522),f191(f916(x137521,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13755,plain,
% 191.35/191.55 (~E(f329(f329(f154(x137551),x137552),x137553),x137553)),
% 191.35/191.55 inference(rename_variables,[],[4602])).
% 191.35/191.55 cnf(13758,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),f2(a908)),x137581))),
% 191.35/191.55 inference(rename_variables,[],[3446])).
% 191.35/191.55 cnf(13765,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x137651),x137652),f191(f916(x137651,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13770,plain,
% 191.35/191.55 (~P1(f329(f329(f240(a908),f329(f329(f83(a908),f329(a117,x137701)),f329(a117,x137701))),x137701))),
% 191.35/191.55 inference(rename_variables,[],[10873])).
% 191.35/191.55 cnf(13775,plain,
% 191.35/191.55 (~P1(f329(f329(f191(f916(x137751,f916(x137752,a903))),x137753),x137754))),
% 191.35/191.55 inference(rename_variables,[],[4666])).
% 191.35/191.55 cnf(13778,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x137781,a903)),x137782),f329(f329(f311(x137781),x137783),x137782)))),
% 191.35/191.55 inference(rename_variables,[],[3871])).
% 191.35/191.55 cnf(13781,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x137811),f329(f329(f82(a908),x137811),x137812)))),
% 191.35/191.55 inference(rename_variables,[],[3687])).
% 191.35/191.55 cnf(13788,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x137881),x137881))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13791,plain,
% 191.35/191.55 (~E(f329(a117,x137911),f2(a908))),
% 191.35/191.55 inference(rename_variables,[],[4589])).
% 191.35/191.55 cnf(13797,plain,
% 191.35/191.55 (~P40(x137971,x137972,x137973,f329(f329(f157(x137974,x137971),x137975),f329(a117,f118(x137974))),f118(x137972))),
% 191.35/191.55 inference(rename_variables,[],[11403])).
% 191.35/191.55 cnf(13800,plain,
% 191.35/191.55 (P1(f329(f329(f241(a908),x138001),f329(f329(f83(a908),f329(a117,x138001)),f329(a117,x138001))))),
% 191.35/191.55 inference(rename_variables,[],[10783])).
% 191.35/191.55 cnf(13808,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),f46(a908,x138081,x138082)),x138081))),
% 191.35/191.55 inference(rename_variables,[],[3881])).
% 191.35/191.55 cnf(13811,plain,
% 191.35/191.55 (~P40(x138111,x138112,x138113,f329(f329(f157(x138114,x138111),x138115),f329(a117,f118(x138114))),f118(x138112))),
% 191.35/191.55 inference(rename_variables,[],[11403])).
% 191.35/191.55 cnf(13819,plain,
% 191.35/191.55 (P1(f329(f329(f331(x138191),f329(x138192,x138193)),f329(f312(x138194,x138191,x138192),f247(f916(x138194,a903)))))),
% 191.35/191.55 inference(rename_variables,[],[4026])).
% 191.35/191.55 cnf(13826,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x138261,a903)),f329(f175(x138261),f179(x138261,x138262,x138263))),f329(f175(x138261),x138262)))),
% 191.35/191.55 inference(rename_variables,[],[4117])).
% 191.35/191.55 cnf(13829,plain,
% 191.35/191.55 (~P1(f329(f329(f331(a908),x138291),f329(f285(a908),f2(a908))))),
% 191.35/191.55 inference(rename_variables,[],[11975])).
% 191.35/191.55 cnf(13840,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x138401),x138401))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13843,plain,
% 191.35/191.55 (E(f329(f287(x138431,x138431),f268(x138431,x138432)),x138432)),
% 191.35/191.55 inference(rename_variables,[],[3384])).
% 191.35/191.55 cnf(13850,plain,
% 191.35/191.55 (~E(f329(f329(f154(x138501),x138502),x138503),x138503)),
% 191.35/191.55 inference(rename_variables,[],[4602])).
% 191.35/191.55 cnf(13858,plain,
% 191.35/191.55 (~P1(f329(f329(f331(a908),x138581),f329(f285(a908),f2(a908))))),
% 191.35/191.55 inference(rename_variables,[],[11975])).
% 191.35/191.55 cnf(13870,plain,
% 191.35/191.55 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x138701),x138702)),x138701))),
% 191.35/191.55 inference(rename_variables,[],[4663])).
% 191.35/191.55 cnf(13873,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x138731),x138731))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13876,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x138761),x138761))),
% 191.35/191.55 inference(rename_variables,[],[3426])).
% 191.35/191.55 cnf(13883,plain,
% 191.35/191.55 (P1(f329(f329(f240(f916(x138831,a903)),f329(f175(x138831),f179(x138831,x138832,x138833))),f329(f175(x138831),x138832)))),
% 191.35/191.55 inference(rename_variables,[],[4117])).
% 191.35/191.55 cnf(13888,plain,
% 191.35/191.55 (~P1(f329(f329(f331(f915(x138881,x138881)),x138882),f268(x138881,f191(f916(x138881,a903)))))),
% 191.35/191.55 inference(rename_variables,[],[11122])).
% 191.35/191.55 cnf(13891,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),x138911),f329(f329(f83(a908),x138911),x138911)))),
% 191.35/191.55 inference(rename_variables,[],[3688])).
% 191.35/191.55 cnf(13904,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x139041),x139042),f329(f313(x139041,x139043,x139044),f191(f916(x139043,a903)))))),
% 191.35/191.55 inference(rename_variables,[],[11125])).
% 191.35/191.55 cnf(13907,plain,
% 191.35/191.55 (P1(f329(f329(f241(a1),f329(f329(f23(a1),x139071),f80(a1))),x139071))),
% 191.35/191.55 inference(rename_variables,[],[10936])).
% 191.35/191.55 cnf(13920,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x139201),x139202),f329(f313(x139201,x139203,x139204),f191(f916(x139203,a903)))))),
% 191.35/191.55 inference(rename_variables,[],[11125])).
% 191.35/191.55 cnf(13923,plain,
% 191.35/191.55 (E(f329(x139231,f329(f94(x139232,x139233,f247(f916(x139232,a903)),x139231),f329(x139231,x139234))),f329(x139231,x139234))),
% 191.35/191.55 inference(rename_variables,[],[11262])).
% 191.35/191.55 cnf(13939,plain,
% 191.35/191.55 (~E(f329(a117,x139391),f2(a908))),
% 191.35/191.55 inference(rename_variables,[],[4589])).
% 191.35/191.55 cnf(13946,plain,
% 191.35/191.55 (P1(f329(f329(f331(f915(x139461,x139461)),f329(f329(f257(x139461,x139461),x139462),x139462)),f309(x139461,x139463)))),
% 191.35/191.55 inference(rename_variables,[],[4059])).
% 191.35/191.55 cnf(13953,plain,
% 191.35/191.55 (~P1(f329(f329(f331(a908),x139531),f329(f285(a908),f2(a908))))),
% 191.35/191.55 inference(rename_variables,[],[11975])).
% 191.35/191.55 cnf(13962,plain,
% 191.35/191.55 (P1(f329(f329(f240(a908),f2(a908)),x139621))),
% 191.35/191.55 inference(rename_variables,[],[3446])).
% 191.35/191.55 cnf(13965,plain,
% 191.35/191.55 (~P1(f329(f329(f331(x139651),x139652),f191(f916(x139651,a903))))),
% 191.35/191.55 inference(rename_variables,[],[4651])).
% 191.35/191.55 cnf(13975,plain,
% 191.35/191.55 (E(f329(f329(f137(x139751),x139752),f118(x139751)),x139752)),
% 191.35/191.56 inference(rename_variables,[],[3355])).
% 191.35/191.56 cnf(13999,plain,
% 191.35/191.56 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x139991),x139992)),x139991))),
% 191.35/191.56 inference(rename_variables,[],[4663])).
% 191.35/191.56 cnf(14004,plain,
% 191.35/191.56 (~P48(f32(x140041,f32(x140042,f32(f32(f329(a26,x140043),x140044),x140045))),x140046,f2(a908),x140047)),
% 191.35/191.56 inference(rename_variables,[],[11370])).
% 191.35/191.56 cnf(14007,plain,
% 191.35/191.56 (~P1(f329(f329(f241(a908),x140071),x140071))),
% 191.35/191.56 inference(rename_variables,[],[4638])).
% 191.35/191.56 cnf(14010,plain,
% 191.35/191.56 (~P1(f329(f329(f331(f915(x140101,x140101)),x140102),f268(x140101,f191(f916(x140101,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[11122])).
% 191.35/191.56 cnf(14019,plain,
% 191.35/191.56 (~E(f329(f329(f311(x140191),x140192),x140193),f191(f916(x140191,a903)))),
% 191.35/191.56 inference(rename_variables,[],[4627])).
% 191.35/191.56 cnf(14026,plain,
% 191.35/191.56 (~P1(f329(f63(x140261,x140262,f191(f916(x140261,a903))),x140263))),
% 191.35/191.56 inference(rename_variables,[],[4661])).
% 191.35/191.56 cnf(14040,plain,
% 191.35/191.56 (~P1(f329(f329(f331(f915(x140401,x140401)),x140402),f268(x140401,f191(f916(x140401,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[11122])).
% 191.35/191.56 cnf(14048,plain,
% 191.35/191.56 (~P1(f329(f329(f331(x140481),x140482),f191(f916(x140481,a903))))),
% 191.35/191.56 inference(rename_variables,[],[4651])).
% 191.35/191.56 cnf(14051,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x140511),f329(f329(f83(a908),x140511),x140511)))),
% 191.35/191.56 inference(rename_variables,[],[3688])).
% 191.35/191.56 cnf(14054,plain,
% 191.35/191.56 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x140541),x140542)),x140541))),
% 191.35/191.56 inference(rename_variables,[],[4663])).
% 191.35/191.56 cnf(14060,plain,
% 191.35/191.56 (P1(f329(f329(f240(a1),x140601),x140601))),
% 191.35/191.56 inference(rename_variables,[],[3427])).
% 191.35/191.56 cnf(14065,plain,
% 191.35/191.56 (~E(f329(f329(f106(a908),f329(a117,x140651)),x140651),f329(a117,x140651))),
% 191.35/191.56 inference(rename_variables,[],[11723])).
% 191.35/191.56 cnf(14071,plain,
% 191.35/191.56 (~P1(f329(f329(f331(a908),x140711),f329(f285(a908),f2(a908))))),
% 191.35/191.56 inference(rename_variables,[],[11975])).
% 191.35/191.56 cnf(14074,plain,
% 191.35/191.56 (E(f329(x140741,f329(f94(x140742,x140743,f247(f916(x140742,a903)),x140741),f329(x140741,x140744))),f329(x140741,x140744))),
% 191.35/191.56 inference(rename_variables,[],[11262])).
% 191.35/191.56 cnf(14077,plain,
% 191.35/191.56 (~P1(f329(f329(f241(a908),x140771),x140771))),
% 191.35/191.56 inference(rename_variables,[],[4638])).
% 191.35/191.56 cnf(14087,plain,
% 191.35/191.56 (E(f329(f329(f137(x140871),f118(x140871)),x140872),x140872)),
% 191.35/191.56 inference(rename_variables,[],[3379])).
% 191.35/191.56 cnf(14090,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x140901,a903)),f329(f288(x140902,x140901,x140903),f191(f916(x140902,a903)))),x140904))),
% 191.35/191.56 inference(rename_variables,[],[11442])).
% 191.35/191.56 cnf(14101,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x141011),f329(f329(f82(a908),x141011),x141012)))),
% 191.35/191.56 inference(rename_variables,[],[3687])).
% 191.35/191.56 cnf(14106,plain,
% 191.35/191.56 (~P1(f329(f63(x141061,x141062,f191(f916(x141061,a903))),x141063))),
% 191.35/191.56 inference(rename_variables,[],[4661])).
% 191.35/191.56 cnf(14123,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x141231),f329(f329(f83(a908),x141231),x141231)))),
% 191.35/191.56 inference(rename_variables,[],[3688])).
% 191.35/191.56 cnf(14145,plain,
% 191.35/191.56 (~P1(f329(f329(f331(x141451),x141452),f191(f916(x141451,a903))))),
% 191.35/191.56 inference(rename_variables,[],[4651])).
% 191.35/191.56 cnf(14153,plain,
% 191.35/191.56 (E(f329(x141531,f329(f94(x141532,x141533,f247(f916(x141532,a903)),x141531),f329(x141531,x141534))),f329(x141531,x141534))),
% 191.35/191.56 inference(rename_variables,[],[11262])).
% 191.35/191.56 cnf(14166,plain,
% 191.35/191.56 (E(f329(x141661,f329(f94(x141662,x141663,f247(f916(x141662,a903)),x141661),f329(x141661,x141664))),f329(x141661,x141664))),
% 191.35/191.56 inference(rename_variables,[],[11262])).
% 191.35/191.56 cnf(14171,plain,
% 191.35/191.56 (P1(f329(f329(f241(a1),f329(f329(f23(a1),x141711),f80(a1))),x141711))),
% 191.35/191.56 inference(rename_variables,[],[10936])).
% 191.35/191.56 cnf(14179,plain,
% 191.35/191.56 (E(f329(f287(x141791,x141791),f268(x141791,x141792)),x141792)),
% 191.35/191.56 inference(rename_variables,[],[3384])).
% 191.35/191.56 cnf(14182,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x141821,a903)),f329(f175(x141821),f179(x141821,x141822,x141823))),f329(f175(x141821),x141822)))),
% 191.35/191.56 inference(rename_variables,[],[4117])).
% 191.35/191.56 cnf(14187,plain,
% 191.35/191.56 (~P1(f329(f329(f331(x141871),x141872),f191(f916(x141871,a903))))),
% 191.35/191.56 inference(rename_variables,[],[4651])).
% 191.35/191.56 cnf(14196,plain,
% 191.35/191.56 (E(f329(f329(f137(x141961),x141962),f118(x141961)),x141962)),
% 191.35/191.56 inference(rename_variables,[],[3355])).
% 191.35/191.56 cnf(14201,plain,
% 191.35/191.56 (P1(f329(f329(f241(a908),x142011),f329(a117,f329(f329(f82(a908),x142012),x142011))))),
% 191.35/191.56 inference(rename_variables,[],[3874])).
% 191.35/191.56 cnf(14206,plain,
% 191.35/191.56 (~E(f329(f329(f154(x142061),x142062),x142063),x142063)),
% 191.35/191.56 inference(rename_variables,[],[4602])).
% 191.35/191.56 cnf(14209,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x142091,a903)),f329(f175(x142091),f179(x142091,x142092,x142093))),f329(f175(x142091),x142092)))),
% 191.35/191.56 inference(rename_variables,[],[4117])).
% 191.35/191.56 cnf(14219,plain,
% 191.35/191.56 (E(f329(x142191,f329(f94(x142192,x142193,f247(f916(x142192,a903)),x142191),f329(x142191,x142194))),f329(x142191,x142194))),
% 191.35/191.56 inference(rename_variables,[],[11262])).
% 191.35/191.56 cnf(14226,plain,
% 191.35/191.56 (~P1(f329(f329(f331(a908),x142261),f329(f285(a908),f2(a908))))),
% 191.35/191.56 inference(rename_variables,[],[11975])).
% 191.35/191.56 cnf(14248,plain,
% 191.35/191.56 (P1(f329(f329(f331(x142481),f329(x142482,x142483)),f329(f312(x142484,x142481,x142482),f247(f916(x142484,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[4026])).
% 191.35/191.56 cnf(14255,plain,
% 191.35/191.56 (~P1(f329(f63(x142551,x142552,f191(f916(x142551,a903))),x142553))),
% 191.35/191.56 inference(rename_variables,[],[4661])).
% 191.35/191.56 cnf(14266,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x142661),f329(f329(f82(a908),x142661),x142662)))),
% 191.35/191.56 inference(rename_variables,[],[3687])).
% 191.35/191.56 cnf(14281,plain,
% 191.35/191.56 (~P1(f329(f63(x142811,x142812,f191(f916(x142811,a903))),x142813))),
% 191.35/191.56 inference(rename_variables,[],[4661])).
% 191.35/191.56 cnf(14284,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x142841),f329(f329(f83(a908),x142841),x142841)))),
% 191.35/191.56 inference(rename_variables,[],[3688])).
% 191.35/191.56 cnf(14287,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x142871,a903)),x142872),x142872))),
% 191.35/191.56 inference(rename_variables,[],[3720])).
% 191.35/191.56 cnf(14300,plain,
% 191.35/191.56 (~E(x143001,f329(a117,x143001))),
% 191.35/191.56 inference(rename_variables,[],[10475])).
% 191.35/191.56 cnf(14307,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x143071,a903)),f329(f312(x143072,x143071,x143073),f329(f313(x143072,x143071,x143073),x143074))),x143074))),
% 191.35/191.56 inference(rename_variables,[],[4297])).
% 191.35/191.56 cnf(14313,plain,
% 191.35/191.56 (~P1(f329(f329(f331(x143131),x143132),f191(f916(x143131,a903))))),
% 191.35/191.56 inference(rename_variables,[],[4651])).
% 191.35/191.56 cnf(14319,plain,
% 191.35/191.56 (P1(f329(f329(f241(a1),f329(f329(f23(a1),x143191),f80(a1))),x143191))),
% 191.35/191.56 inference(rename_variables,[],[10936])).
% 191.35/191.56 cnf(14322,plain,
% 191.35/191.56 (P1(f329(f329(f241(a1),f329(f329(f23(a1),x143221),f80(a1))),x143221))),
% 191.35/191.56 inference(rename_variables,[],[10936])).
% 191.35/191.56 cnf(14325,plain,
% 191.35/191.56 (~E(f329(f329(f154(x143251),x143252),x143253),x143253)),
% 191.35/191.56 inference(rename_variables,[],[4602])).
% 191.35/191.56 cnf(14328,plain,
% 191.35/191.56 (~P1(f329(f329(f331(f915(x143281,x143281)),x143282),f268(x143281,f191(f916(x143281,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[11122])).
% 191.35/191.56 cnf(14336,plain,
% 191.35/191.56 (~E(f329(f329(f154(x143361),x143362),x143363),x143363)),
% 191.35/191.56 inference(rename_variables,[],[4602])).
% 191.35/191.56 cnf(14347,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x143471,a903)),x143472),x143472))),
% 191.35/191.56 inference(rename_variables,[],[3720])).
% 191.35/191.56 cnf(14350,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x143501,a903)),x143502),x143502))),
% 191.35/191.56 inference(rename_variables,[],[3720])).
% 191.35/191.56 cnf(14353,plain,
% 191.35/191.56 (E(f329(x143531,f329(f94(x143532,x143533,f247(f916(x143532,a903)),x143531),f329(x143531,x143534))),f329(x143531,x143534))),
% 191.35/191.56 inference(rename_variables,[],[11262])).
% 191.35/191.56 cnf(14356,plain,
% 191.35/191.56 (~P1(f329(f329(f331(f915(f909(x143561),f909(x143561))),f329(f329(f257(f909(x143561),f909(x143561)),x143562),f118(x143561))),f160(x143561,x143563)))),
% 191.35/191.56 inference(rename_variables,[],[4670])).
% 191.35/191.56 cnf(14359,plain,
% 191.35/191.56 (~E(f329(f329(f154(x143591),x143592),x143593),x143593)),
% 191.35/191.56 inference(rename_variables,[],[4602])).
% 191.35/191.56 cnf(14368,plain,
% 191.35/191.56 (~P1(f329(f329(f241(a908),x143681),x143681))),
% 191.35/191.56 inference(rename_variables,[],[4638])).
% 191.35/191.56 cnf(14374,plain,
% 191.35/191.56 (E(f329(f329(f137(x143741),x143742),f118(x143741)),x143742)),
% 191.35/191.56 inference(rename_variables,[],[3355])).
% 191.35/191.56 cnf(14383,plain,
% 191.35/191.56 (P1(f329(f329(f240(f916(x143831,a903)),f329(f175(x143831),f179(x143831,x143832,x143833))),f329(f175(x143831),x143832)))),
% 191.35/191.56 inference(rename_variables,[],[4117])).
% 191.35/191.56 cnf(14388,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x143881),f329(f329(f83(a908),x143881),x143881)))),
% 191.35/191.56 inference(rename_variables,[],[3688])).
% 191.35/191.56 cnf(14391,plain,
% 191.35/191.56 (P1(f329(f329(f331(x143911),f329(x143912,x143913)),f329(f312(x143914,x143911,x143912),f247(f916(x143914,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[4026])).
% 191.35/191.56 cnf(14405,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x144051),f329(f329(f82(a908),x144051),x144052)))),
% 191.35/191.56 inference(rename_variables,[],[3687])).
% 191.35/191.56 cnf(14410,plain,
% 191.35/191.56 (E(f329(f287(x144101,x144101),f268(x144101,x144102)),x144102)),
% 191.35/191.56 inference(rename_variables,[],[3384])).
% 191.35/191.56 cnf(14413,plain,
% 191.35/191.56 (P1(f329(f329(f331(x144131),f329(x144132,x144133)),f329(f312(x144134,x144131,x144132),f247(f916(x144134,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[4026])).
% 191.35/191.56 cnf(14416,plain,
% 191.35/191.56 (P1(f329(f329(f331(x144161),f329(x144162,x144163)),f329(f312(x144164,x144161,x144162),f247(f916(x144164,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[4026])).
% 191.35/191.56 cnf(14419,plain,
% 191.35/191.56 (~P1(f329(f329(f331(x144191),x144192),f191(f916(x144191,a903))))),
% 191.35/191.56 inference(rename_variables,[],[4651])).
% 191.35/191.56 cnf(14431,plain,
% 191.35/191.56 (~P1(f329(f63(x144311,x144312,f191(f916(x144311,a903))),x144313))),
% 191.35/191.56 inference(rename_variables,[],[4661])).
% 191.35/191.56 cnf(14440,plain,
% 191.35/191.56 (~P1(f329(f329(f331(f915(f909(x144401),f909(x144401))),f329(f329(f257(f909(x144401),f909(x144401)),x144402),f118(x144401))),f150(x144401,x144403)))),
% 191.35/191.56 inference(rename_variables,[],[4669])).
% 191.35/191.56 cnf(14448,plain,
% 191.35/191.56 (~P1(f329(f329(f331(x144481),x144482),f329(f313(x144481,x144483,x144484),f191(f916(x144483,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[11125])).
% 191.35/191.56 cnf(14472,plain,
% 191.35/191.56 (E(f329(f287(x144721,x144721),f268(x144721,x144722)),x144722)),
% 191.35/191.56 inference(rename_variables,[],[3384])).
% 191.35/191.56 cnf(14497,plain,
% 191.35/191.56 (~P1(f329(f329(f241(a908),f329(f329(f82(a908),x144971),x144972)),x144972))),
% 191.35/191.56 inference(rename_variables,[],[4662])).
% 191.35/191.56 cnf(14511,plain,
% 191.35/191.56 (P1(f329(f329(f240(a908),x145111),f329(f329(f83(a908),x145111),x145111)))),
% 191.35/191.56 inference(rename_variables,[],[3688])).
% 191.35/191.56 cnf(14549,plain,
% 191.35/191.56 (P1(f329(f329(f331(f915(x145491,x145491)),f329(f329(f257(x145491,x145491),x145492),x145492)),f309(x145491,x145493)))),
% 191.35/191.56 inference(rename_variables,[],[4059])).
% 191.35/191.56 cnf(14577,plain,
% 191.35/191.56 (~P1(f329(f329(f331(a908),x145771),f329(f285(a908),f2(a908))))),
% 191.35/191.56 inference(rename_variables,[],[11975])).
% 191.35/191.56 cnf(14580,plain,
% 191.35/191.56 (~P1(f329(f329(f331(f915(x145801,x145801)),x145802),f268(x145801,f191(f916(x145801,a903)))))),
% 191.35/191.56 inference(rename_variables,[],[11122])).
% 191.35/191.56 cnf(14583,plain,
% 191.35/191.56 (~E(f329(f329(f154(x145831),x145832),x145833),x145833)),
% 191.35/191.56 inference(rename_variables,[],[4602])).
% 191.35/191.56 cnf(14625,plain,
% 191.35/191.56 (~P1(f329(f329(f331(a908),x146251),f329(f285(a908),f2(a908))))),
% 191.35/191.56 inference(rename_variables,[],[11975])).
% 191.42/191.56 cnf(14644,plain,
% 191.42/191.56 (P1(f329(f329(f240(f916(x146441,a903)),f329(f175(x146441),f179(x146441,x146442,x146443))),f329(f175(x146441),x146442)))),
% 191.42/191.56 inference(rename_variables,[],[4117])).
% 191.42/191.56 cnf(14660,plain,
% 191.42/191.56 (~P1(f329(f329(f331(x146601),x146602),f329(f313(x146601,x146603,x146604),f191(f916(x146603,a903)))))),
% 191.42/191.56 inference(rename_variables,[],[11125])).
% 191.42/191.56 cnf(14684,plain,
% 191.42/191.56 (~P1(f329(f329(f331(f915(f909(x146841),f909(x146841))),f329(f329(f257(f909(x146841),f909(x146841)),x146842),f118(x146841))),f148(x146841,x146843)))),
% 191.42/191.56 inference(rename_variables,[],[4668])).
% 191.42/191.56 cnf(14711,plain,
% 191.42/191.56 ($false),
% 191.42/191.56 inference(scs_inference,[],[3453,3863,3454,4163,4201,4008,3216,4664,4630,3428,3426,13625,13788,13840,13873,13876,3405,4639,4059,13946,14549,3501,4668,14684,4632,3518,3876,4026,13819,14248,14391,14413,14416,4651,13690,13752,13765,13965,14048,14145,14187,14313,14419,4117,13633,13826,13883,14182,14209,14383,14644,3525,3904,4592,4589,13791,13939,4602,13650,13703,13755,13850,14206,14325,14336,14359,14583,4627,14019,3408,3505,4194,4068,3427,14060,3881,13808,3446,13758,13962,3736,3871,13778,3720,14287,14347,14350,3873,3688,13891,14051,14123,14284,14388,14511,3687,13781,14101,14266,14405,4297,14307,3874,14201,3384,13713,13843,14179,14410,14472,3355,13975,14196,14374,3379,14087,4669,14440,4670,14356,4672,13642,4638,14007,14077,14368,4648,13645,4661,14026,14106,14255,14281,14431,4660,4666,13775,4662,14497,4663,13870,13999,14054,3628,3403,11723,14065,10475,14300,13294,10752,10529,12912,12032,12072,13193,12678,11533,13469,12443,10783,13800,12078,12953,13377,10771,11257,12680,12709,12716,11112,13389,11372,11073,10936,13907,14171,14319,14322,3790,12738,11065,11107,11442,14090,12668,11397,11262,13739,13742,13923,14074,14153,14166,14219,14353,13405,10451,13217,11109,10580,11519,11491,10878,10702,3457,3369,11326,11424,11167,13205,13208,13483,10883,13467,13499,11867,12386,12375,11352,11411,12484,10436,12968,11973,11975,13829,13858,13953,14071,14226,14577,14625,10891,11314,11122,13730,13745,13888,14010,14040,14328,14580,11125,13904,13920,14448,14660,11357,11475,11445,10873,13659,13710,13770,10978,12232,12734,11544,11380,13693,12642,13489,11403,13797,13811,12317,11370,14004,11364,11140,11407,10864,3094,13465,3483,13675,3976,7188,7833,9985,8515,8747,9493,5336,9555,7368,8707,5426,6566,4979,6181,8979,9065,5073,5854,7491,8020,7458,8184,8414,8521,6600,6031,5224,6867,9309,6035,5366,5156,6123,7756,9044,6350,4853,7558,6310,6565,8620,6480,9419,9030,8899,5665,5914,4759,4760,9921,6847,6848,5072,5423,6434,6924,10203,10107,6889,6348,5342,6033,9666,7470,5856,5913,6380,5685,8645,9442,6231,9261,6533,6599,8183,10077,5410,7573,5525,6383,8732,8922,6846,8684,5335,5491,6225,8677,5428,7871,5726,5359,6164,8943,8386,5570,7668,9076,5225,5448,5758,5454,8413,8792,6891,10369,7848,7024,9062,5441,5446,8617,6543,6484,9878,9909,4887,7006,8607,9460,9255,9735,7913,5334,6697,8511,8683,8837,5478,6092,6185,9843,5678,6489,7669,9753,9790,5850,5972,5164,5170,5285,8931,4726,8367,6923,7487,8824,6989,8,6206,6354,6375,9258,9370,10290,6922,6391,9598,9797,8752,9218,5917,5035,6018,2,5886,5513,8542,10289,5322,5795,9597,7002,5235,5422,5714,5872,8612,9798,6937,5341,5529,6675,6256,9734,5806,6432,9760,6483,6006,7276,6227,5879,6054,9154,5420,9,9733,10074,6205,5585,6886,9596,6254,5867,7967,7444,6303,5597,6399,6895,8859,9563,9087,4763,5697,6258,6488,9736,5865,4765,5349,5723,6314,9256,4679,8660,6027,10086,5397,8685,5144,5459,5569,6367,5892,7552,8968,6294,8687,9036,5875,6200,5804,9854,9899,5286,6137,6651,7442,6499,7774,8749,8182,9439,7992,5438,5859,6534,10354,5138,6295,6440,4817,6260,6588,5679,5805,8513,6874,8119,5647,6893,8538,8678,9560,4809,5877,6222,8775,8941,9981,8581,5619,5929,8751,5666,8619,8898,4808,5724,6300,6639,7687,9435,9703,4758,10087,4893,5308,5648,6696,6015,6369,6408,5813,5165,5273,7073,6255,8166,7627,7542,5851,6182,6221,9201,6230,5458,8200,8759,7901,9187,5463,5936,8592,8594,5006,9640,9791,9897,5861,5095,7899,8705,9466,6078,9042,4761,7903,5363,5440,5511,6479,9257,5651,5759,8686,5938,6845,8199,9755,8659,7272,8841,4971,6363,9075,7216,5695,7302,8946,7469,6352,6586,7583,9979,7068,4858,8706,6445,9186,5894,6897,9335,8882,5863,5817,5324,7103,7821,9259,6032,8343,8793,5555,6043,9226,9380,5427,5710,6202,9185,6894,9946,6487,7493,7622,5021,5908,6485,7305,9392,9465,5472,6911,5411,6854,8052,8750,5667,7955,8772,8275,8557,5521,5770,7471,5944,7000,9381,4956,5294,5355,5460,6773,5005,5791,6608,9077,10112,8084,5163,7513,7870,10033,7293,5473,5625,6365,6654,5593,4793]),
% 191.42/191.56 ['proof']).
% 191.42/191.56 % SZS output end Proof
% 191.42/191.56 % Total time :176.630000s
%------------------------------------------------------------------------------