TSTP Solution File: SWW331+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW331+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 : n008.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 18:07:38 EDT 2024
% Result : Theorem 192.21s 192.20s
% Output : CNFRefutation 192.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SWW331+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Jun 19 05:25:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.48/0.56 start to proof:theBenchmark
% 191.74/192.03 %-------------------------------------------
% 191.74/192.03 % File :CSE---1.7
% 191.74/192.03 % Problem :theBenchmark
% 191.74/192.03 % Transform :cnf
% 191.74/192.03 % Format :tptp:raw
% 191.74/192.03 % Command :java -jar mcs_scs.jar %d %s
% 191.74/192.03
% 191.74/192.03 % Result :Theorem 163.830000s
% 191.74/192.03 % Output :CNFRefutation 163.830000s
% 191.74/192.03 %-------------------------------------------
% 191.74/192.04 %------------------------------------------------------------------------------
% 191.74/192.04 % File : SWW331+1 : TPTP v8.2.0. Released v5.2.0.
% 191.74/192.04 % Domain : Software Verification
% 191.74/192.04 % Problem : Hoare's Logic with Procedures 435138, 5000 axioms selected
% 191.74/192.04 % Version : Especial.
% 191.74/192.04 % English :
% 191.74/192.04
% 191.74/192.04 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 191.74/192.04 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 191.74/192.04 % Source : [Bla11]
% 191.74/192.04 % Names : hoare_435138.5000.p [Bla11]
% 191.74/192.04
% 191.74/192.04 % Status : ContradictoryAxioms
% 191.74/192.04 % 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, 0.97 v6.0.0, 0.91 v5.5.0, 0.96 v5.4.0, 1.00 v5.3.0, 0.96 v5.2.0
% 191.74/192.04 % Syntax : Number of formulae : 5228 (1681 unt; 0 def)
% 191.74/192.04 % Number of atoms : 12743 (4421 equ)
% 191.74/192.04 % Maximal formula atoms : 13 ( 2 avg)
% 191.74/192.04 % Number of connectives : 8519 (1004 ~; 151 |; 720 &)
% 191.74/192.04 % ( 884 <=>;5760 =>; 0 <=; 0 <~>)
% 191.74/192.04 % Maximal formula depth : 22 ( 6 avg)
% 191.74/192.04 % Maximal term depth : 19 ( 2 avg)
% 191.74/192.04 % Number of predicates : 149 ( 148 usr; 0 prp; 1-6 aty)
% 191.74/192.04 % Number of functors : 392 ( 392 usr; 56 con; 0-7 aty)
% 191.74/192.04 % Number of variables : 16657 (16508 !; 149 ?)
% 191.74/192.04 % SPC : FOF_CAX_RFO_SEQ
% 191.74/192.04
% 191.74/192.04 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 191.74/192.04 % 2011-03-01 12:02:39
% 191.74/192.04 %------------------------------------------------------------------------------
% 191.74/192.04 %----Relevant facts (4985)
% 191.74/192.04 fof(fact_ext,axiom,
% 191.74/192.04 ! [V_g_2,V_f_2] :
% 191.74/192.04 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 191.74/192.04 => V_f_2 = V_g_2 ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_Body__triple__valid__Suc,axiom,
% 191.74/192.04 ! [V_Qa_2,V_pn_2,V_Pa_2,V_n_2,T_b] :
% 191.74/192.04 ( 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))
% 191.74/192.04 <=> 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)) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_triple_Oinject,axiom,
% 191.74/192.04 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 191.74/192.04 ( 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)
% 191.74/192.04 <=> ( V_fun1_2 = V_fun1_H_2
% 191.74/192.04 & V_com_2 = V_com_H_2
% 191.74/192.04 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_triple__valid__Suc,axiom,
% 191.74/192.04 ! [V_t,V_n,T_a] :
% 191.74/192.04 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 191.74/192.04 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_UnE,axiom,
% 191.74/192.04 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.04 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_UnCI,axiom,
% 191.74/192.04 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 191.74/192.04 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.74/192.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) )
% 191.74/192.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_image__eqI,axiom,
% 191.74/192.04 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 191.74/192.04 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 191.74/192.04 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.74/192.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_hoare__derivs_OBody,axiom,
% 191.74/192.04 ! [V_Procsa_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.04 ( 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))
% 191.74/192.04 => 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)) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_sup1E,axiom,
% 191.74/192.04 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.74/192.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 191.74/192.04 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 191.74/192.04 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_sup1CI,axiom,
% 191.74/192.04 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 191.74/192.04 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 191.74/192.04 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 191.74/192.04 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_sup__fun__def,axiom,
% 191.74/192.04 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.74/192.04 ( class_Lattices_Olattice(T_b)
% 191.74/192.04 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_equalityCE,axiom,
% 191.74/192.04 ! [V_c_2,T_b,V_B_2,V_A_2] :
% 191.74/192.04 ( V_A_2 = V_B_2
% 191.74/192.04 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) )
% 191.74/192.04 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_sup__Un__eq,axiom,
% 191.74/192.04 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 191.74/192.04 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 191.74/192.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_triple_Orecs,axiom,
% 191.74/192.04 ! [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) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_triple_Osimps_I2_J,axiom,
% 191.74/192.04 ! [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) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_cut,axiom,
% 191.74/192.04 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 191.74/192.04 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 191.74/192.04 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 191.74/192.04 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_eq__mem__trans,axiom,
% 191.74/192.04 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 191.74/192.04 ( V_a_2 = V_b_2
% 191.74/192.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.74/192.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_eqelem__imp__iff,axiom,
% 191.74/192.04 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 191.74/192.04 ( V_x_2 = V_y_2
% 191.74/192.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_eqset__imp__iff,axiom,
% 191.74/192.04 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 191.74/192.04 ( V_A_2 = V_B_2
% 191.74/192.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_eq__mem,axiom,
% 191.74/192.04 ! [V_y_2,V_x_2,T_b] :
% 191.74/192.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 191.74/192.04 <=> V_x_2 = V_y_2 ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_mem__def,axiom,
% 191.74/192.04 ! [V_A_2,V_x_2,T_b] :
% 191.74/192.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.04 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_sup__assoc,axiom,
% 191.74/192.04 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.04 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 191.74/192.04
% 191.74/192.04 fof(fact_inf__sup__aci_I6_J,axiom,
% 191.74/192.05 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Olattice(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup_Oassoc,axiom,
% 191.74/192.05 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup__left__commute,axiom,
% 191.74/192.05 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_inf__sup__aci_I7_J,axiom,
% 191.74/192.05 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Olattice(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup_Oleft__commute,axiom,
% 191.74/192.05 ! [V_c,V_a,V_b,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_c)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup__left__idem,axiom,
% 191.74/192.05 ! [V_y,V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_inf__sup__aci_I8_J,axiom,
% 191.74/192.05 ! [V_y,V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Olattice(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup_Oleft__idem,axiom,
% 191.74/192.05 ! [V_b,V_a,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup__commute,axiom,
% 191.74/192.05 ! [V_y,V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_inf__sup__aci_I5_J,axiom,
% 191.74/192.05 ! [V_y,V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Olattice(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup_Ocommute,axiom,
% 191.74/192.05 ! [V_b,V_a,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_b),V_a) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup__idem,axiom,
% 191.74/192.05 ! [V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup_Oidem,axiom,
% 191.74/192.05 ! [V_a,T_a] :
% 191.74/192.05 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup1I2,axiom,
% 191.74/192.05 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 191.74/192.05 ( hBOOL(hAPP(V_B_2,V_x_2))
% 191.74/192.05 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup1I1,axiom,
% 191.74/192.05 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 191.74/192.05 ( hBOOL(hAPP(V_A_2,V_x_2))
% 191.74/192.05 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_ball__Un,axiom,
% 191.74/192.05 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 191.74/192.05 ( ! [B_x] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.05 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.74/192.05 <=> ( ! [B_x] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.74/192.05 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.74/192.05 & ! [B_x] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 191.74/192.05 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_bex__Un,axiom,
% 191.74/192.05 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 191.74/192.05 ( ? [B_x] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.05 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.74/192.05 <=> ( ? [B_x] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.74/192.05 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.74/192.05 | ? [B_x] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 191.74/192.05 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__assoc,axiom,
% 191.74/192.05 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__left__commute,axiom,
% 191.74/192.05 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__left__absorb,axiom,
% 191.74/192.05 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__commute,axiom,
% 191.74/192.05 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__absorb,axiom,
% 191.74/192.05 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 191.74/192.05
% 191.74/192.05 fof(fact_pred__equals__eq,axiom,
% 191.74/192.05 ! [V_S_2,V_R_2,T_b] :
% 191.74/192.05 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)
% 191.74/192.05 <=> V_R_2 = V_S_2 ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__image,axiom,
% 191.74/192.05 ! [V_A_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Set_Oimage(T_d,T_c,V_g_2),V_A_2)) = hAPP(c_Set_Oimage(T_d,T_b,hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_f_2),V_g_2)),V_A_2) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_rev__image__eqI,axiom,
% 191.74/192.05 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.05 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 191.74/192.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_imageI,axiom,
% 191.74/192.05 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.05 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__iff,axiom,
% 191.74/192.05 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.74/192.05 <=> ? [B_x] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.74/192.05 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_UnI2,axiom,
% 191.74/192.05 ! [V_A_2,V_B_2,V_c_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.74/192.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_UnI1,axiom,
% 191.74/192.05 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__iff,axiom,
% 191.74/192.05 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_sup__apply,axiom,
% 191.74/192.05 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.74/192.05 ( class_Lattices_Olattice(T_b)
% 191.74/192.05 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__Un,axiom,
% 191.74/192.05 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Body1,axiom,
% 191.74/192.05 ! [V_pn_2,V_Procsa_2,V_Qa_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.05 ( 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))
% 191.74/192.05 => ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),V_pn_2),V_Procsa_2))
% 191.74/192.05 => 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)))) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__ident,axiom,
% 191.74/192.05 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Body__triple__valid__0,axiom,
% 191.74/192.05 ! [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)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_evaln_OBody,axiom,
% 191.74/192.05 ! [V_s1,V_n,V_s0,V_pn] :
% 191.74/192.05 ( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1)
% 191.74/192.05 => c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_com_Osimps_I6_J,axiom,
% 191.74/192.05 ! [V_pname_H_2,V_pname_2] :
% 191.74/192.05 ( hAPP(c_Com_Ocom_OBODY,V_pname_2) = hAPP(c_Com_Ocom_OBODY,V_pname_H_2)
% 191.74/192.05 <=> V_pname_2 = V_pname_H_2 ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_imageE,axiom,
% 191.74/192.05 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.74/192.05 => ~ ! [B_x] :
% 191.74/192.05 ( V_b_2 = hAPP(V_f_2,B_x)
% 191.74/192.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_evaln_Oequations_I9_J,axiom,
% 191.74/192.05 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] :
% 191.74/192.05 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_a1_2),V_a2_2,hAPP(c_Nat_OSuc,V_a3_2),V_a4_2)
% 191.74/192.05 <=> 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) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Suc__inject,axiom,
% 191.74/192.05 ! [V_y,V_x] :
% 191.74/192.05 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 191.74/192.05 => V_x = V_y ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_nat_Oinject,axiom,
% 191.74/192.05 ! [V_nat_H_2,V_nat_2] :
% 191.74/192.05 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 191.74/192.05 <=> V_nat_2 = V_nat_H_2 ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Suc__n__not__n,axiom,
% 191.74/192.05 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 191.74/192.05
% 191.74/192.05 fof(fact_n__not__Suc__n,axiom,
% 191.74/192.05 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Sup__fin_Oidem,axiom,
% 191.74/192.05 ! [V_x,T_a] :
% 191.74/192.05 ( class_Lattices_Olattice(T_a)
% 191.74/192.05 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_emptyE,axiom,
% 191.74/192.05 ! [V_a_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insertE,axiom,
% 191.74/192.05 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 191.74/192.05 => ( V_a_2 != V_b_2
% 191.74/192.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insertCI,axiom,
% 191.74/192.05 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 191.74/192.05 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 191.74/192.05 => V_a_2 = V_b_2 )
% 191.74/192.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_empty__not__insert,axiom,
% 191.74/192.05 ! [V_A_2,V_a_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__not__empty,axiom,
% 191.74/192.05 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__absorb2,axiom,
% 191.74/192.05 ! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__commute,axiom,
% 191.74/192.05 ! [V_A_2,V_y_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_doubleton__eq__iff,axiom,
% 191.74/192.05 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.74/192.05 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.74/192.05 <=> ( ( V_a_2 = V_c_2
% 191.74/192.05 & V_b_2 = V_d_2 )
% 191.74/192.05 | ( V_a_2 = V_d_2
% 191.74/192.05 & V_b_2 = V_c_2 ) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__code,axiom,
% 191.74/192.05 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 191.74/192.05 <=> ( V_y_2 = V_x_2
% 191.74/192.05 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_singleton__inject,axiom,
% 191.74/192.05 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.05 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 191.74/192.05 => V_a_2 = V_b_2 ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_singletonE,axiom,
% 191.74/192.05 ! [V_a_2,V_b_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 191.74/192.05 => V_b_2 = V_a_2 ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_singleton__iff,axiom,
% 191.74/192.05 ! [V_a_2,V_b_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 191.74/192.05 <=> V_b_2 = V_a_2 ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__is__Un,axiom,
% 191.74/192.05 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_derivs__insertD,axiom,
% 191.74/192.05 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 191.74/192.05 ( 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))
% 191.74/192.05 => ( 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))))
% 191.74/192.05 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_hoare__derivs_Oinsert,axiom,
% 191.74/192.05 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 191.74/192.05 ( 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))))
% 191.74/192.05 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 191.74/192.05 => 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)) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_evaln__Suc,axiom,
% 191.74/192.05 ! [V_s_H,V_n,V_s,V_c] :
% 191.74/192.05 ( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
% 191.74/192.05 => c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Zero__not__Suc,axiom,
% 191.74/192.05 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_nat_Osimps_I2_J,axiom,
% 191.74/192.05 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Suc__not__Zero,axiom,
% 191.74/192.05 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_nat_Osimps_I3_J,axiom,
% 191.74/192.05 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Zero__neq__Suc,axiom,
% 191.74/192.05 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Suc__neq__Zero,axiom,
% 191.74/192.05 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__constant__conv,axiom,
% 191.74/192.05 ! [V_c_2,T_c,T_b,V_A_2] :
% 191.74/192.05 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.05 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.74/192.05 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.05 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insertI1,axiom,
% 191.74/192.05 ! [V_B_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__iff,axiom,
% 191.74/192.05 ! [V_A_2,V_b_2,V_a_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 191.74/192.05 <=> ( V_a_2 = V_b_2
% 191.74/192.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__ident,axiom,
% 191.74/192.05 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.74/192.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.74/192.05 => ( hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)
% 191.74/192.05 <=> V_A_2 = V_B_2 ) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insertI2,axiom,
% 191.74/192.05 ! [V_b_2,V_B_2,V_a_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 191.74/192.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_insert__absorb,axiom,
% 191.74/192.05 ! [V_A_2,V_a_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.05 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__insert,axiom,
% 191.74/192.05 ! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__insert__right,axiom,
% 191.74/192.05 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__insert__left,axiom,
% 191.74/192.05 ! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__constant,axiom,
% 191.74/192.05 ! [V_c_2,T_c,V_A_2,V_x_2,T_b] :
% 191.74/192.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.05 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_c_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_all__not__in__conv,axiom,
% 191.74/192.05 ! [V_A_2,T_b] :
% 191.74/192.05 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.74/192.05 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_ex__in__conv,axiom,
% 191.74/192.05 ! [V_A_2,T_b] :
% 191.74/192.05 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.74/192.05 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_empty__iff,axiom,
% 191.74/192.05 ! [V_c_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_equals0D,axiom,
% 191.74/192.05 ! [V_a_2,T_b,V_A_2] :
% 191.74/192.05 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_empty__is__image,axiom,
% 191.74/192.05 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.74/192.05 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)
% 191.74/192.05 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__empty,axiom,
% 191.74/192.05 ! [V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_image__is__empty,axiom,
% 191.74/192.05 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.74/192.05 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.05 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__empty__left,axiom,
% 191.74/192.05 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__empty__right,axiom,
% 191.74/192.05 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 191.74/192.05
% 191.74/192.05 fof(fact_Un__empty,axiom,
% 191.74/192.05 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.05 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.05 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.05 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.74/192.05
% 191.74/192.05 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_empty,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_bot__empty__eq,axiom,
% 191.74/192.06 ! [V_x_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 191.74/192.06 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_sup__bot__left,axiom,
% 191.74/192.06 ! [V_x,T_a] :
% 191.74/192.06 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_sup__bot__right,axiom,
% 191.74/192.06 ! [V_x,T_a] :
% 191.74/192.06 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_sup__eq__bot__iff,axiom,
% 191.74/192.06 ! [V_y_2,V_x_2,T_b] :
% 191.74/192.06 ( class_Lattices_Obounded__lattice__bot(T_b)
% 191.74/192.06 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 191.74/192.06 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 191.74/192.06 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_insert__image,axiom,
% 191.74/192.06 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.06 => hAPP(hAPP(c_Set_Oinsert(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_triple__valid__def2,axiom,
% 191.74/192.06 ! [V_Qa_2,V_c_2,V_Pa_2,V_n_2,T_b] :
% 191.74/192.06 ( 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))
% 191.74/192.06 <=> ! [B_Z,B_s] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 191.74/192.06 => ! [B_s_H] :
% 191.74/192.06 ( c_Natural_Oevaln(V_c_2,B_s,V_n_2,B_s_H)
% 191.74/192.06 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_weak__Body,axiom,
% 191.74/192.06 ! [V_Qa_2,V_pn_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => 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)))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_BodyN,axiom,
% 191.74/192.06 ! [V_Ga_2,V_Qa_2,V_pn_2,V_Pa_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => 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)))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_triple_Osize_I1_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_triple_Osize_I2_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln__elim__cases_I6_J,axiom,
% 191.74/192.06 ! [V_s1,V_n,V_s,V_P] :
% 191.74/192.06 ( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_P),V_s,V_n,V_s1)
% 191.74/192.06 => ~ ! [B_n] :
% 191.74/192.06 ( V_n = hAPP(c_Nat_OSuc,B_n)
% 191.74/192.06 => ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P)),V_s,B_n,V_s1) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_the__elem__eq,axiom,
% 191.74/192.06 ! [V_x_2,T_b] : c_Set_Othe__elem(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ).
% 191.74/192.06
% 191.74/192.06 fof(fact_bot__fun__def,axiom,
% 191.74/192.06 ! [V_x_2,T_c,T_b] :
% 191.74/192.06 ( class_Orderings_Obot(T_b)
% 191.74/192.06 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_bot__apply,axiom,
% 191.74/192.06 ! [V_x_2,T_c,T_b] :
% 191.74/192.06 ( class_Orderings_Obot(T_b)
% 191.74/192.06 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_escape,axiom,
% 191.74/192.06 ! [V_Qa_2,V_c_2,V_Ga_2,T_b,V_Pa_2] :
% 191.74/192.06 ( ! [B_Z,B_s] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 191.74/192.06 => 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)))) )
% 191.74/192.06 => 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)))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 191.74/192.06 ! [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)))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_hoare__derivs_OSkip,axiom,
% 191.74/192.06 ! [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)))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_conseq1,axiom,
% 191.74/192.06 ! [V_Pa_2,V_Qa_2,V_c_2,V_P_H_2,V_Ga_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => ( ! [B_Z,B_s] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 191.74/192.06 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 191.74/192.06 => 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)))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_conseq2,axiom,
% 191.74/192.06 ! [V_Qa_2,V_Q_H_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => ( ! [B_Z,B_s] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 191.74/192.06 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 191.74/192.06 => 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)))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Comp,axiom,
% 191.74/192.06 ! [V_R_2,V_d_2,V_Qa_2,V_c_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => ( 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))))
% 191.74/192.06 => 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)))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_OSemi,axiom,
% 191.74/192.06 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 191.74/192.06 ( c_Natural_Oevaln(V_c0,V_s0,V_n,V_s1)
% 191.74/192.06 => ( c_Natural_Oevaln(V_c1,V_s1,V_n,V_s2)
% 191.74/192.06 => c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c0,V_c1),V_s0,V_n,V_s2) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_OSkip,axiom,
% 191.74/192.06 ! [V_n,V_s] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_s) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln__elim__cases_I1_J,axiom,
% 191.74/192.06 ! [V_t,V_n,V_s] :
% 191.74/192.06 ( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
% 191.74/192.06 => V_t = V_s ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I3_J,axiom,
% 191.74/192.06 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 191.74/192.06 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 191.74/192.06 <=> ( V_com1_2 = V_com1_H_2
% 191.74/192.06 & V_com2_2 = V_com2_H_2 ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I13_J,axiom,
% 191.74/192.06 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I12_J,axiom,
% 191.74/192.06 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_Oequations_I4_J,axiom,
% 191.74/192.06 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 191.74/192.06 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_a1_2,V_a5_2),V_a2_2,V_a3_2,V_a6_2)
% 191.74/192.06 <=> ? [B_s1] :
% 191.74/192.06 ( c_Natural_Oevaln(V_a1_2,V_a2_2,V_a3_2,B_s1)
% 191.74/192.06 & c_Natural_Oevaln(V_a5_2,B_s1,V_a3_2,V_a6_2) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I48_J,axiom,
% 191.74/192.06 ! [V_pname_H,V_com2,V_com1] : c_Com_Ocom_OSemi(V_com1,V_com2) != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I49_J,axiom,
% 191.74/192.06 ! [V_com2,V_com1,V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSemi(V_com1,V_com2) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_bot__nat__def,axiom,
% 191.74/192.06 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_Oequations_I1_J,axiom,
% 191.74/192.06 ! [V_a2,V_a1] : c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_a1,V_a2,V_a1) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I19_J,axiom,
% 191.74/192.06 ! [V_pname_H] : hAPP(c_Com_Ocom_OBODY,V_pname_H) != c_Com_Ocom_OSKIP ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I18_J,axiom,
% 191.74/192.06 ! [V_pname_H] : c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY,V_pname_H) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_the__elem__def,axiom,
% 191.74/192.06 ! [V_X_2,T_b] : c_Set_Othe__elem(T_b,V_X_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),hAPP(c_fequal,V_X_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_LoopF,axiom,
% 191.74/192.06 ! [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)))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_OBody,axiom,
% 191.74/192.06 ! [V_s1,V_s0,V_pn] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn))),V_s0),V_s1))
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_pn)),V_s0),V_s1)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc__elim__cases_I6_J,axiom,
% 191.74/192.06 ! [V_s1,V_s,V_P] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_P)),V_s),V_s1))
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_P))),V_s),V_s1)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_override__on__def,axiom,
% 191.74/192.06 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 191.74/192.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.06 => 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) )
% 191.74/192.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.06 => 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) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_Oequations_I9_J,axiom,
% 191.74/192.06 ! [V_a3_2,V_a2_2,V_a1_2] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,V_a1_2)),V_a2_2),V_a3_2))
% 191.74/192.06 <=> 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)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln__elim__cases_I4_J,axiom,
% 191.74/192.06 ! [V_t,V_n,V_s,V_c2,V_c1] :
% 191.74/192.06 ( c_Natural_Oevaln(c_Com_Ocom_OSemi(V_c1,V_c2),V_s,V_n,V_t)
% 191.74/192.06 => ~ ! [B_s1] :
% 191.74/192.06 ( c_Natural_Oevaln(V_c1,V_s,V_n,B_s1)
% 191.74/192.06 => ~ c_Natural_Oevaln(V_c2,B_s1,V_n,V_t) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Least__Suc,axiom,
% 191.74/192.06 ! [V_n_2,V_Pa_2] :
% 191.74/192.06 ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 191.74/192.06 => ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 191.74/192.06 => 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))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I1_J,axiom,
% 191.74/192.06 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Nats__0,axiom,
% 191.74/192.06 ! [T_b] :
% 191.74/192.06 ( class_Rings_Osemiring__1(T_b)
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I7_J,axiom,
% 191.74/192.06 ! [V_pname] : c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY,V_pname)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_OWhileTrue,axiom,
% 191.74/192.06 ! [V_s2_2,V_s1_2,V_n_2,V_c_2,V_s0_2,V_b_2] :
% 191.74/192.06 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 191.74/192.06 => ( c_Natural_Oevaln(V_c_2,V_s0_2,V_n_2,V_s1_2)
% 191.74/192.06 => ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s1_2,V_n_2,V_s2_2)
% 191.74/192.06 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s0_2,V_n_2,V_s2_2) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_OWhileFalse,axiom,
% 191.74/192.06 ! [V_n_2,V_c_2,V_s_2,V_b_2] :
% 191.74/192.06 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => c_Natural_Oevaln(c_Com_Ocom_OWhile(V_b_2,V_c_2),V_s_2,V_n_2,V_s_2) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_OWhileFalse,axiom,
% 191.74/192.06 ! [V_c_2,V_s_2,V_b_2] :
% 191.74/192.06 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s_2),V_s_2)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_OWhileTrue,axiom,
% 191.74/192.06 ! [V_s2_2,V_s1_2,V_c_2,V_s0_2,V_b_2] :
% 191.74/192.06 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s0_2),V_s1_2))
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s1_2),V_s2_2))
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_c_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_OSemi,axiom,
% 191.74/192.06 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_OSkip,axiom,
% 191.74/192.06 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc__elim__cases_I1_J,axiom,
% 191.74/192.06 ! [V_t,V_s] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 191.74/192.06 => V_t = V_s ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I5_J,axiom,
% 191.74/192.06 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 191.74/192.06 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 191.74/192.06 <=> ( V_fun_2 = V_fun_H_2
% 191.74/192.06 & V_com_2 = V_com_H_2 ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_Oequations_I7_J,axiom,
% 191.74/192.06 ! [V_a2_2,V_a3_2,V_a1_2] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 191.74/192.06 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 => ? [B_s1] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 191.74/192.06 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_Oequations_I8_J,axiom,
% 191.74/192.06 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 191.74/192.06 <=> ( ( V_a5_2 = V_a2_2
% 191.74/192.06 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 191.74/192.06 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & ? [B_s1] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 191.74/192.06 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com__det,axiom,
% 191.74/192.06 ! [V_u,V_t,V_s,V_c] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 191.74/192.06 => V_u = V_t ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_LeastI__ex,axiom,
% 191.74/192.06 ! [V_Pa_2,T_b] :
% 191.74/192.06 ( class_Orderings_Owellorder(T_b)
% 191.74/192.06 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.74/192.06 => hBOOL(hAPP(V_Pa_2,c_Orderings_Oord__class_OLeast(T_b,V_Pa_2))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_LeastI,axiom,
% 191.74/192.06 ! [V_k_2,V_Pa_2,T_b] :
% 191.74/192.06 ( class_Orderings_Owellorder(T_b)
% 191.74/192.06 => ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 191.74/192.06 => hBOOL(hAPP(V_Pa_2,c_Orderings_Oord__class_OLeast(T_b,V_Pa_2))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln__evalc,axiom,
% 191.74/192.06 ! [V_t,V_n,V_s,V_c] :
% 191.74/192.06 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_eval__eq,axiom,
% 191.74/192.06 ! [V_t_2,V_s_2,V_c_2] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c_2),V_s_2),V_t_2))
% 191.74/192.06 <=> ? [B_n] : c_Natural_Oevaln(V_c_2,V_s_2,B_n,V_t_2) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_Oequations_I4_J,axiom,
% 191.74/192.06 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 191.74/192.06 <=> ? [B_s1] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 191.74/192.06 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_Oequations_I1_J,axiom,
% 191.74/192.06 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_Oequations_I8_J,axiom,
% 191.74/192.06 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 191.74/192.06 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a6_2)
% 191.74/192.06 <=> ( ( V_a6_2 = V_a2_2
% 191.74/192.06 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 191.74/192.06 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & ? [B_s1] :
% 191.74/192.06 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 191.74/192.06 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a6_2) ) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_Oequations_I7_J,axiom,
% 191.74/192.06 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 191.74/192.06 ( c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),V_a2_2,V_a4_2,V_a2_2)
% 191.74/192.06 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 => ? [B_s1] :
% 191.74/192.06 ( c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,B_s1)
% 191.74/192.06 & c_Natural_Oevaln(c_Com_Ocom_OWhile(V_a1_2,V_a3_2),B_s1,V_a4_2,V_a2_2) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I59_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I58_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I46_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I47_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I16_J,axiom,
% 191.74/192.06 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I17_J,axiom,
% 191.74/192.06 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 191.74/192.06
% 191.74/192.06 fof(fact_override__on__apply__notin,axiom,
% 191.74/192.06 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 191.74/192.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.06 => 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) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_override__on__apply__in,axiom,
% 191.74/192.06 ! [V_g_2,V_f_2,T_c,V_A_2,V_a_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.06 => 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) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_override__on__emptyset,axiom,
% 191.74/192.06 ! [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 ).
% 191.74/192.06
% 191.74/192.06 fof(fact_MGT__def,axiom,
% 191.74/192.06 ! [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)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_the__eq__trivial,axiom,
% 191.74/192.06 ! [V_a_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = V_a_2 ).
% 191.74/192.06
% 191.74/192.06 fof(fact_the__sym__eq__trivial,axiom,
% 191.74/192.06 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I4_J,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I6_J,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Least__Suc2,axiom,
% 191.74/192.06 ! [V_m_2,V_Qa_2,V_n_2,V_Pa_2] :
% 191.74/192.06 ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 191.74/192.06 => ( hBOOL(hAPP(V_Qa_2,V_m_2))
% 191.74/192.06 => ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 191.74/192.06 => ( ! [B_k] :
% 191.74/192.06 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_OSuc,B_k)))
% 191.74/192.06 <=> hBOOL(hAPP(V_Qa_2,B_k)) )
% 191.74/192.06 => 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)) ) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_the__inv__into__def,axiom,
% 191.74/192.06 ! [V_x_2,V_f_2,V_A_2,T_c,T_b] : hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_x_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),V_x_2))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc__elim__cases_I4_J,axiom,
% 191.74/192.06 ! [V_t,V_s,V_c2,V_c1] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 191.74/192.06 => ~ ! [B_s1] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 191.74/192.06 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I9_J,axiom,
% 191.74/192.06 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Loop,axiom,
% 191.74/192.06 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => 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)))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite__pointwise,axiom,
% 191.74/192.06 ! [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] :
% 191.74/192.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2))
% 191.74/192.06 => ( ! [B_p] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => 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)))) )
% 191.74/192.06 => ( 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))
% 191.74/192.06 => 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)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_o__eq__elim,axiom,
% 191.74/192.06 ! [V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.74/192.06 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 191.74/192.06 => ! [B_v] : hAPP(V_a_2,hAPP(V_b_2,B_v)) = hAPP(V_c_2,hAPP(V_d_2,B_v)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_o__eq__dest,axiom,
% 191.74/192.06 ! [V_v_2,V_d_2,V_c_2,T_e,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.74/192.06 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_c_2),V_d_2)
% 191.74/192.06 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,hAPP(V_d_2,V_v_2)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_o__apply,axiom,
% 191.74/192.06 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_nat__add__right__cancel,axiom,
% 191.74/192.06 ! [V_n_2,V_k_2,V_m_2] :
% 191.74/192.06 ( 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)
% 191.74/192.06 <=> V_m_2 = V_n_2 ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_nat__add__left__cancel,axiom,
% 191.74/192.06 ! [V_n_2,V_m_2,V_k_2] :
% 191.74/192.06 ( 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)
% 191.74/192.06 <=> V_m_2 = V_n_2 ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_nat__add__assoc,axiom,
% 191.74/192.06 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_o__assoc,axiom,
% 191.74/192.06 ! [V_h_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),hAPP(c_Fun_Ocomp(T_e,T_d,T_b,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_h_2) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_nat__add__left__commute,axiom,
% 191.74/192.06 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x),V_z)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_nat__add__commute,axiom,
% 191.74/192.06 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_o__def,axiom,
% 191.74/192.06 ! [V_x_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(V_f_2,hAPP(V_g_2,V_x_2)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_image__compose,axiom,
% 191.74/192.06 ! [V_r_2,V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_b,T_c,V_f_2),V_g_2)),V_r_2) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),V_r_2)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_plus__nat_Oadd__0,axiom,
% 191.74/192.06 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Nat_Oadd__0__right,axiom,
% 191.74/192.06 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__is__0,axiom,
% 191.74/192.06 ! [V_n_2,V_m_2] :
% 191.74/192.06 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.06 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.06 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__eq__self__zero,axiom,
% 191.74/192.06 ! [V_n,V_m] :
% 191.74/192.06 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 191.74/192.06 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__Suc__shift,axiom,
% 191.74/192.06 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__Suc,axiom,
% 191.74/192.06 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__Suc__right,axiom,
% 191.74/192.06 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_peek__and__def,axiom,
% 191.74/192.06 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 191.74/192.06 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 191.74/192.06 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I14_J,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I12_J,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_one__is__add,axiom,
% 191.74/192.06 ! [V_n_2,V_m_2] :
% 191.74/192.06 ( 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)
% 191.74/192.06 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.74/192.06 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.74/192.06 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.06 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__is__1,axiom,
% 191.74/192.06 ! [V_n_2,V_m_2] :
% 191.74/192.06 ( 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))
% 191.74/192.06 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.74/192.06 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.74/192.06 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.06 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Nats__add,axiom,
% 191.74/192.06 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.06 ( class_Rings_Osemiring__1(T_b)
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.74/192.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I15_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_Loop__sound__lemma,axiom,
% 191.74/192.06 ! [V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => 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)))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite__imageI,axiom,
% 191.74/192.06 ! [V_h_2,T_c,V_F_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.74/192.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite_OinsertI,axiom,
% 191.74/192.06 ! [V_a_2,V_A_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite_OemptyI,axiom,
% 191.74/192.06 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_hoare__derivs_OIf,axiom,
% 191.74/192.06 ! [V_d_2,V_Qa_2,V_c_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 191.74/192.06 ( 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))))
% 191.74/192.06 => ( 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))))
% 191.74/192.06 => 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)))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite__UnI,axiom,
% 191.74/192.06 ! [V_Ga_2,V_F_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.74/192.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 191.74/192.06 => 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))) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite__Un,axiom,
% 191.74/192.06 ! [V_Ga_2,V_F_2,T_b] :
% 191.74/192.06 ( 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)))
% 191.74/192.06 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.74/192.06 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite__insert,axiom,
% 191.74/192.06 ! [V_A_2,V_a_2,T_b] :
% 191.74/192.06 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)))
% 191.74/192.06 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite_Oequations_I1_J,axiom,
% 191.74/192.06 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__0__left,axiom,
% 191.74/192.06 ! [V_a,T_a] :
% 191.74/192.06 ( class_Groups_Omonoid__add(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 191.74/192.06 ! [V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln__elim__cases_I5_J,axiom,
% 191.74/192.06 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 191.74/192.06 ( 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)
% 191.74/192.06 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ~ c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_t_2) )
% 191.74/192.06 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ~ c_Natural_Oevaln(V_c2_2,V_s_2,V_n_2,V_t_2) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_OIfTrue,axiom,
% 191.74/192.06 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] :
% 191.74/192.06 ( hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ( c_Natural_Oevaln(V_c0_2,V_s_2,V_n_2,V_s1_2)
% 191.74/192.06 => 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) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_OIfFalse,axiom,
% 191.74/192.06 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] :
% 191.74/192.06 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ( c_Natural_Oevaln(V_c1_2,V_s_2,V_n_2,V_s1_2)
% 191.74/192.06 => 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) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_OIfFalse,axiom,
% 191.74/192.06 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] :
% 191.74/192.06 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 191.74/192.06 => 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)) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_OIfTrue,axiom,
% 191.74/192.06 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] :
% 191.74/192.06 ( hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 191.74/192.06 => 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)) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc__elim__cases_I5_J,axiom,
% 191.74/192.06 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 191.74/192.06 ( 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))
% 191.74/192.06 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 191.74/192.06 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 191.74/192.06 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I4_J,axiom,
% 191.74/192.06 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 191.74/192.06 ( 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)
% 191.74/192.06 <=> ( V_fun_2 = V_fun_H_2
% 191.74/192.06 & V_com1_2 = V_com1_H_2
% 191.74/192.06 & V_com2_2 = V_com2_H_2 ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_Oequations_I6_J,axiom,
% 191.74/192.06 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 191.74/192.06 ( 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)
% 191.74/192.06 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) )
% 191.74/192.06 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evaln_Oequations_I5_J,axiom,
% 191.74/192.06 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 191.74/192.06 ( 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)
% 191.74/192.06 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & c_Natural_Oevaln(V_a3_2,V_a2_2,V_a4_2,V_a5_2) )
% 191.74/192.06 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & c_Natural_Oevaln(V_a6_2,V_a2_2,V_a4_2,V_a5_2) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_Oequations_I5_J,axiom,
% 191.74/192.06 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 191.74/192.06 ( 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))
% 191.74/192.06 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 191.74/192.06 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_evalc_Oequations_I6_J,axiom,
% 191.74/192.06 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 191.74/192.06 ( 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))
% 191.74/192.06 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 191.74/192.06 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 191.74/192.06 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I55_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I54_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I53_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I52_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I44_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I45_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I14_J,axiom,
% 191.74/192.06 ! [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) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osimps_I15_J,axiom,
% 191.74/192.06 ! [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 ).
% 191.74/192.06
% 191.74/192.06 fof(fact_zero__reorient,axiom,
% 191.74/192.06 ! [V_x_2,T_b] :
% 191.74/192.06 ( class_Groups_Ozero(T_b)
% 191.74/192.06 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 191.74/192.06 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__right__imp__eq,axiom,
% 191.74/192.06 ! [V_c,V_a,V_b,T_a] :
% 191.74/192.06 ( class_Groups_Ocancel__semigroup__add(T_a)
% 191.74/192.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)
% 191.74/192.06 => V_b = V_c ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__imp__eq,axiom,
% 191.74/192.06 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.06 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 191.74/192.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 191.74/192.06 => V_b = V_c ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__left__imp__eq,axiom,
% 191.74/192.06 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.06 ( class_Groups_Ocancel__semigroup__add(T_a)
% 191.74/192.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 191.74/192.06 => V_b = V_c ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 191.74/192.06 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__right__cancel,axiom,
% 191.74/192.06 ! [V_c_2,V_a_2,V_b_2,T_b] :
% 191.74/192.06 ( class_Groups_Ocancel__semigroup__add(T_b)
% 191.74/192.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)
% 191.74/192.06 <=> V_b_2 = V_c_2 ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__left__cancel,axiom,
% 191.74/192.06 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.74/192.06 ( class_Groups_Ocancel__semigroup__add(T_b)
% 191.74/192.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)
% 191.74/192.06 <=> V_b_2 = V_c_2 ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 191.74/192.06 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_b) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 191.74/192.06 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.06 ( class_Groups_Oab__semigroup__add(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 191.74/192.06 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 191.74/192.06 ! [V_d,V_c,V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),V_d) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 191.74/192.06 ! [V_d,V_c,V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_d)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_d)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 191.74/192.06 ! [V_c,V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite__code,axiom,
% 191.74/192.06 ! [V_A_2,T_b] :
% 191.74/192.06 ( class_Finite__Set_Ofinite(T_b)
% 191.74/192.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_finite,axiom,
% 191.74/192.06 ! [V_A_2,T_b] :
% 191.74/192.06 ( class_Finite__Set_Ofinite(T_b)
% 191.74/192.06 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I5_J,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_com_Osize_I13_J,axiom,
% 191.74/192.06 ! [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))) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__0__iff,axiom,
% 191.74/192.06 ! [V_a_2,V_b_2,T_b] :
% 191.74/192.06 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 191.74/192.06 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_a_2)
% 191.74/192.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add_Ocomm__neutral,axiom,
% 191.74/192.06 ! [V_a,T_a] :
% 191.74/192.06 ( class_Groups_Ocomm__monoid__add(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 191.74/192.06 ! [V_a,T_a] :
% 191.74/192.06 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__0__right,axiom,
% 191.74/192.06 ! [V_a,T_a] :
% 191.74/192.06 ( class_Groups_Omonoid__add(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_double__zero__sym,axiom,
% 191.74/192.06 ! [V_a_2,T_b] :
% 191.74/192.06 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.74/192.06 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)
% 191.74/192.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_add__0,axiom,
% 191.74/192.06 ! [V_a,T_a] :
% 191.74/192.06 ( class_Groups_Ocomm__monoid__add(T_a)
% 191.74/192.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_folding__one_Oinsert,axiom,
% 191.74/192.06 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.06 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.74/192.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.06 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.06 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_double__eq__0__iff,axiom,
% 191.74/192.06 ! [V_a_2,T_b] :
% 191.74/192.06 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.74/192.06 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.74/192.06 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.74/192.06
% 191.74/192.06 fof(fact_folding__idem_Ounion__idem,axiom,
% 191.74/192.06 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.06 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__idem_Oinsert__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Oinsert,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_image__eq__fold__image,axiom,
% 191.74/192.07 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(T_c,tc_HOL_Obool),T_b,c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_c,tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Set_Oinsert(T_c)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))),V_A_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Oinsert,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Oinsert,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one__idem_Oidem,axiom,
% 191.74/192.07 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.74/192.07 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 191.74/192.07 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fold__image__empty,axiom,
% 191.74/192.07 ! [V_z_2,V_g_2,V_f_2,T_c,T_b] : hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 191.74/192.07 ! [V_h_2,V_g_2,T_g,V_f_2,T_d,T_e,T_f,V_F_2,V_fa_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_f,T_e,T_d,V_f_2),hAPP(c_Fun_Ocomp(T_g,T_f,T_d,V_g_2),V_h_2)) = hAPP(c_Fun_Ocomp(T_g,T_e,T_d,hAPP(c_Fun_Ocomp(T_f,T_e,T_g,V_f_2),V_g_2)),V_h_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ocommute__comp,axiom,
% 191.74/192.07 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ocommute__left__comp,axiom,
% 191.74/192.07 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_y_2)),V_g_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Oempty,axiom,
% 191.74/192.07 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Osingleton,axiom,
% 191.74/192.07 ! [V_x_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__idem_Oidem__comp,axiom,
% 191.74/192.07 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 191.74/192.07 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ocommute__comp_H,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_f_2,V_x_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 191.74/192.07 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_f_2,V_x_2)),V_g_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 191.74/192.07 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),V_g_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_A_2)),hAPP(c_Fun_Ocomp(T_c,T_c,T_d,hAPP(V_F_2,V_B_2)),V_g_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Oin__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one_Osingleton,axiom,
% 191.74/192.07 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one__idem_Oin__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Ounion__idem,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_comm__monoid__big_OF__eq,axiom,
% 191.74/192.07 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.74/192.07 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 191.74/192.07 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Oclosed,axiom,
% 191.74/192.07 ! [V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one_Oclosed,axiom,
% 191.74/192.07 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Ohom__commute,axiom,
% 191.74/192.07 ! [V_N_2,V_h_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.74/192.07 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OSup__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Oremove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,V_A_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Oremove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 191.74/192.07 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 191.74/192.07 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(V_f_2,B_x),B_y)) = hAPP(hAPP(V_f_2,hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.74/192.07 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => hAPP(V_h_2,hAPP(V_F_2,V_N_2)) = hAPP(V_F_2,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ounion,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Oremove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one_Oremove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 191.74/192.07 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf1I,axiom,
% 191.74/192.07 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 191.74/192.07 ( hBOOL(hAPP(V_A_2,V_x_2))
% 191.74/192.07 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 191.74/192.07 => hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf1E,axiom,
% 191.74/192.07 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 191.74/192.07 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 191.74/192.07 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_IntI,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_IntE,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_DiffI,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_DiffE,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_finite__Int,axiom,
% 191.74/192.07 ! [V_Ga_2,V_F_2,T_b] :
% 191.74/192.07 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.74/192.07 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 191.74/192.07 => 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))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_finite__Diff,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__absorb,axiom,
% 191.74/192.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = V_A_2 ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf_Oidem,axiom,
% 191.74/192.07 ! [V_a,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__idem,axiom,
% 191.74/192.07 ! [V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__diff__def,axiom,
% 191.74/192.07 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.74/192.07 ( class_Groups_Ominus(T_b)
% 191.74/192.07 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__fun__def,axiom,
% 191.74/192.07 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__commute,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf_Ocommute,axiom,
% 191.74/192.07 ! [V_b,V_a,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_a) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__sup__aci_I1_J,axiom,
% 191.74/192.07 ! [V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Olattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__commute,axiom,
% 191.74/192.07 ! [V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__left__absorb,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf_Oleft__idem,axiom,
% 191.74/192.07 ! [V_b,V_a,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__sup__aci_I4_J,axiom,
% 191.74/192.07 ! [V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Olattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__left__idem,axiom,
% 191.74/192.07 ! [V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__left__commute,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf_Oleft__commute,axiom,
% 191.74/192.07 ! [V_c,V_a,V_b,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_c)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__sup__aci_I3_J,axiom,
% 191.74/192.07 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Olattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__left__commute,axiom,
% 191.74/192.07 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__Int__distrib,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_C_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__idemp,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__Diff,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__assoc,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf_Oassoc,axiom,
% 191.74/192.07 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_b),V_c)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__sup__aci_I2_J,axiom,
% 191.74/192.07 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Olattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__assoc,axiom,
% 191.74/192.07 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__Int__distrib2,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__Int2,axiom,
% 191.74/192.07 ! [V_B_2,V_C_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),V_B_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_minus__apply,axiom,
% 191.74/192.07 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.74/192.07 ( class_Groups_Ominus(T_b)
% 191.74/192.07 => hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,T_b)),V_A_2),V_B_2),V_x_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(V_A_2,V_x_2)),hAPP(V_B_2,V_x_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__apply,axiom,
% 191.74/192.07 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,T_b)),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf1D1,axiom,
% 191.74/192.07 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 191.74/192.07 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf1D2,axiom,
% 191.74/192.07 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2),V_x_2))
% 191.74/192.07 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Oidem,axiom,
% 191.74/192.07 ! [V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Olattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__eq__diff__eq,axiom,
% 191.74/192.07 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.74/192.07 ( class_Groups_Oab__group__add(T_b)
% 191.74/192.07 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 191.74/192.07 => ( V_a_2 = V_b_2
% 191.74/192.07 <=> V_c_2 = V_d_2 ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__disjoint,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__triv,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( 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))
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Un__Diff__Int,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = V_A_2 ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__Un,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__Int,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_right__minus__eq,axiom,
% 191.74/192.07 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.07 ( class_Groups_Ogroup__add(T_b)
% 191.74/192.07 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.74/192.07 <=> V_a_2 = V_b_2 ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_eq__iff__diff__eq__0,axiom,
% 191.74/192.07 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.07 ( class_Groups_Oab__group__add(T_b)
% 191.74/192.07 => ( V_a_2 = V_b_2
% 191.74/192.07 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__self,axiom,
% 191.74/192.07 ! [V_a,T_a] :
% 191.74/192.07 ( class_Groups_Ogroup__add(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__0__right,axiom,
% 191.74/192.07 ! [V_a,T_a] :
% 191.74/192.07 ( class_Groups_Ogroup__add(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_add__diff__cancel,axiom,
% 191.74/192.07 ! [V_b,V_a,T_a] :
% 191.74/192.07 ( class_Groups_Ogroup__add(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__add__cancel,axiom,
% 191.74/192.07 ! [V_b,V_a,T_a] :
% 191.74/192.07 ( class_Groups_Ogroup__add(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__bot__left,axiom,
% 191.74/192.07 ! [V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__bot__right,axiom,
% 191.74/192.07 ! [V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Obounded__lattice__bot(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__sup__absorb,axiom,
% 191.74/192.07 ! [V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Olattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = V_x ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_sup__inf__absorb,axiom,
% 191.74/192.07 ! [V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Olattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = V_x ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__sup__distrib1,axiom,
% 191.74/192.07 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Odistrib__lattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_sup__inf__distrib1,axiom,
% 191.74/192.07 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.07 ( class_Lattices_Odistrib__lattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__sup__distrib2,axiom,
% 191.74/192.07 ! [V_x,V_z,V_y,T_a] :
% 191.74/192.07 ( class_Lattices_Odistrib__lattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_z),V_x)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_sup__inf__distrib2,axiom,
% 191.74/192.07 ! [V_x,V_z,V_y,T_a] :
% 191.74/192.07 ( class_Lattices_Odistrib__lattice(T_a)
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_x)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_z),V_x)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__iff,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.07 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_DiffD1,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_DiffD2,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__iff,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.07 & hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_IntD1,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_IntD2,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_c_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_empty__Diff,axiom,
% 191.74/192.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__empty,axiom,
% 191.74/192.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__cancel,axiom,
% 191.74/192.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_finite__Diff2,axiom,
% 191.74/192.07 ! [V_A_2,V_B_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__empty__left,axiom,
% 191.74/192.07 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__empty__right,axiom,
% 191.74/192.07 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_disjoint__iff__not__equal,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( 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))
% 191.74/192.07 <=> ! [B_x] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.74/192.07 => ! [B_xa] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 191.74/192.07 => B_x != B_xa ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_insert__inter__insert,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Un__Diff__cancel,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Un__Diff__cancel2,axiom,
% 191.74/192.07 ! [V_A_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Un__Diff,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__Un__distrib,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Un__Int__distrib,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__Un__distrib2,axiom,
% 191.74/192.07 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Un__Int__distrib2,axiom,
% 191.74/192.07 ! [V_A_2,V_C_2,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Un__Int__crazy,axiom,
% 191.74/192.07 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__Int__eq,axiom,
% 191.74/192.07 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)),V_x_2))
% 191.74/192.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_insert__Diff1,axiom,
% 191.74/192.07 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_insert__Diff__if,axiom,
% 191.74/192.07 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 191.74/192.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) )
% 191.74/192.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__insert,axiom,
% 191.74/192.07 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__insert2,axiom,
% 191.74/192.07 ! [V_B_2,V_a_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_insert__Diff__single,axiom,
% 191.74/192.07 ! [V_A_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_finite__Diff__insert,axiom,
% 191.74/192.07 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))))
% 191.74/192.07 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__insert__left__if1,axiom,
% 191.74/192.07 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__insert__right__if1,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__insert__left__if0,axiom,
% 191.74/192.07 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 191.74/192.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__insert__right__if0,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 191.74/192.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__insert__left,axiom,
% 191.74/192.07 ! [V_B_2,V_C_2,V_a_2,T_b] :
% 191.74/192.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 191.74/192.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_C_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Int__insert__right,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_a_2,T_b] :
% 191.74/192.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 191.74/192.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Diff__insert__absorb,axiom,
% 191.74/192.07 ! [V_A_2,V_x_2,T_b] :
% 191.74/192.07 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_insert__Diff,axiom,
% 191.74/192.07 ! [V_A_2,V_a_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_inf__Sup__absorb,axiom,
% 191.74/192.07 ! [V_a_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.74/192.07 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one_Oinsert__remove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.74/192.07 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Ounion__inter,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one_Ounion__inter,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__one_Ounion__disjoint,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.74/192.07 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 191.74/192.07 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 191.74/192.07 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.74/192.07 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Ounion__inter,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding_Oinsert__remove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Oremove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 191.74/192.07 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__image,axiom,
% 191.74/192.07 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.74/192.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) )
% 191.74/192.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Set_Oimage(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2)),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_finite__empty__induct,axiom,
% 191.74/192.07 ! [V_Pa_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 191.74/192.07 => ( ! [B_a,B_A] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 191.74/192.07 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 191.74/192.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(hAPP(c_Set_Oinsert(T_b),B_a),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) )
% 191.74/192.07 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Ounion__inter,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.74/192.07 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Oinsert,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Suc__Diff1,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.74/192.07 => ( ! [B_x] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => hAPP(V_g_2,B_x) = V_z_2 )
% 191.74/192.07 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__left__comm__idem__remove,axiom,
% 191.74/192.07 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__triv,axiom,
% 191.74/192.07 ! [V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,hAPP(V_f_2,V_x_2)) = V_f_2 ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 191.74/192.07 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.74/192.07 => hAPP(hAPP(V_f_2,V_x_2),hAPP(hAPP(V_f_2,V_x_2),V_z_2)) = hAPP(hAPP(V_f_2,V_x_2),V_z_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__idem,axiom,
% 191.74/192.07 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 191.74/192.07 ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.74/192.07 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__other,axiom,
% 191.74/192.07 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 191.74/192.07 ( V_z_2 != V_x_2
% 191.74/192.07 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__twist,axiom,
% 191.74/192.07 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_c_2,V_a_2] :
% 191.74/192.07 ( V_a_2 != V_c_2
% 191.74/192.07 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_a_2,V_b_2),V_c_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_c_2,V_d_2),V_a_2,V_b_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__apply,axiom,
% 191.74/192.07 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 191.74/192.07 ( ( V_z_2 = V_x_2
% 191.74/192.07 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 191.74/192.07 & ( V_z_2 != V_x_2
% 191.74/192.07 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__same,axiom,
% 191.74/192.07 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] : hAPP(c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2),V_x_2) = V_y_2 ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__upd,axiom,
% 191.74/192.07 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] : c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_x_2,V_z_2) = c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_z_2) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__idem__iff,axiom,
% 191.74/192.07 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 191.74/192.07 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__def,axiom,
% 191.74/192.07 ! [V_b_2,V_f_2,T_c,T_b,V_a_2,V_x_2] :
% 191.74/192.07 ( ( V_x_2 = V_a_2
% 191.74/192.07 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = V_b_2 )
% 191.74/192.07 & ( V_x_2 != V_a_2
% 191.74/192.07 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_a_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 191.74/192.07 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.74/192.07 => c_Finite__Set_Ofun__left__comm__idem(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__0__eq__0,axiom,
% 191.74/192.07 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_minus__nat_Odiff__0,axiom,
% 191.74/192.07 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__self__eq__0,axiom,
% 191.74/192.07 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diffs0__imp__equal,axiom,
% 191.74/192.07 ! [V_n,V_m] :
% 191.74/192.07 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.07 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.07 => V_m = V_n ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Suc__diff__diff,axiom,
% 191.74/192.07 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)),hAPP(c_Nat_OSuc,V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__Suc__Suc,axiom,
% 191.74/192.07 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__cancel2,axiom,
% 191.74/192.07 ! [V_n,V_k,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__cancel,axiom,
% 191.74/192.07 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__diff__left,axiom,
% 191.74/192.07 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__add__inverse,axiom,
% 191.74/192.07 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__add__inverse2,axiom,
% 191.74/192.07 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Diff__subset__Int,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__upd__comp,axiom,
% 191.74/192.07 ! [V_y_2,V_x_2,V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),c_Fun_Ofun__upd(T_b,T_d,V_g_2,V_x_2,V_y_2)) = c_Fun_Ofun__upd(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2),V_x_2,hAPP(V_f_2,V_y_2)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__left__comm__idem__insert,axiom,
% 191.74/192.07 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card_Oempty,axiom,
% 191.74/192.07 ! [T_b] : hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__infinite,axiom,
% 191.74/192.07 ! [V_A_2,T_b] :
% 191.74/192.07 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__left__comm__idem__sup,axiom,
% 191.74/192.07 ! [T_b] :
% 191.74/192.07 ( class_Lattices_Osemilattice__sup(T_b)
% 191.74/192.07 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__left__comm__idem__inf,axiom,
% 191.74/192.07 ! [T_b] :
% 191.74/192.07 ( class_Lattices_Osemilattice__inf(T_b)
% 191.74/192.07 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_f_2,T_c,T_b] :
% 191.74/192.07 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 191.74/192.07 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_x_2)) = hAPP(V_f_2,V_x_2) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_diff__add__0,axiom,
% 191.74/192.07 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Osingleton,axiom,
% 191.74/192.07 ! [V_x_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__eq__0__iff,axiom,
% 191.74/192.07 ! [V_A_2,T_b] :
% 191.74/192.07 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.07 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_sup__Inf__absorb,axiom,
% 191.74/192.07 ! [V_a_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_a_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_a_2 ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Oin__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__insert__disjoint,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__insert__if,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) )
% 191.74/192.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card_Ounion__inter,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Un__Int,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Ounion__idem,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__insert,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Un__disjoint,axiom,
% 191.74/192.07 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.07 => ( 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))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Oclosed,axiom,
% 191.74/192.07 ! [V_A_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Suc__eq,axiom,
% 191.74/192.07 ! [V_k_2,V_A_2,T_b] :
% 191.74/192.07 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 191.74/192.07 <=> ? [B_b,B_B] :
% 191.74/192.07 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 191.74/192.07 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 191.74/192.07 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 191.74/192.07 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.07 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card_Oremove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Plus__conv__if,axiom,
% 191.74/192.07 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.74/192.07 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) )
% 191.74/192.07 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Inf__fin_Ohom__commute,axiom,
% 191.74/192.07 ! [V_N_2,V_h_2,T_b] :
% 191.74/192.07 ( class_Lattices_Olattice(T_b)
% 191.74/192.07 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),B_x),B_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.74/192.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.74/192.07 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.07 => hAPP(V_h_2,c_Big__Operators_Olattice__class_OInf__fin(T_b,V_N_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card_Oinsert__remove,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Diff__singleton__if,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) )
% 191.74/192.07 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Diff__singleton,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Diff2__less,axiom,
% 191.74/192.07 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_card__Diff1__less,axiom,
% 191.74/192.07 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_less__zeroE,axiom,
% 191.74/192.07 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_lessI,axiom,
% 191.74/192.07 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_Suc__mono,axiom,
% 191.74/192.07 ! [V_n,V_m] :
% 191.74/192.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.74/192.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.74/192.07
% 191.74/192.07 fof(fact_zero__less__Suc,axiom,
% 191.74/192.07 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_n))) ).
% 191.74/192.07
% 191.74/192.08 fof(fact_diff__commute,axiom,
% 191.74/192.08 ! [V_k,V_j,V_i] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_k)),V_j) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__imp__diff__less,axiom,
% 191.74/192.08 ! [V_n,V_k,V_j] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_n)),V_k)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__less__mono2,axiom,
% 191.74/192.08 ! [V_l,V_n,V_m] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__irrefl,axiom,
% 191.74/192.08 ! [V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__neq__iff,axiom,
% 191.74/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_b)
% 191.74/192.08 => ( V_x_2 != V_y_2
% 191.74/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.74/192.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__less__iff__gr__or__eq,axiom,
% 191.74/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_b)
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.74/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 191.74/192.08 | V_x_2 = V_y_2 ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__less__linear,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 | V_x = V_y
% 191.74/192.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__antisym__conv3,axiom,
% 191.74/192.08 ! [V_x_2,V_y_2,T_b] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_b)
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.74/192.08 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__neqE,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_a)
% 191.74/192.08 => ( V_x != V_y
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__imp__neq,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => V_x != V_y ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__not__sym,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__imp__not__less,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__imp__not__eq,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => V_x != V_y ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__imp__not__eq2,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => V_y != V_x ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__asym_H,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.74/192.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I9_J,axiom,
% 191.74/192.08 ! [V_a,V_b,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.74/192.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_ord__eq__less__trans,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Orderings_Oord(T_a)
% 191.74/192.08 => ( V_a = V_b
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I1_J,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( V_a = V_b
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_ord__less__eq__trans,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Orderings_Oord(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.74/192.08 => ( V_b = V_c
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I2_J,axiom,
% 191.74/192.08 ! [V_c,V_a,V_b,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.74/192.08 => ( V_b = V_c
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__trans,axiom,
% 191.74/192.08 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I10_J,axiom,
% 191.74/192.08 ! [V_z,V_x,V_y,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__less__asym,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__cases,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_a)
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => ( V_x != V_y
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__not__refl,axiom,
% 191.74/192.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_nat__neq__iff,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2] :
% 191.74/192.08 ( V_m_2 != V_n_2
% 191.74/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.74/192.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__neqE__nat,axiom,
% 191.74/192.08 ! [V_y,V_x] :
% 191.74/192.08 ( V_x != V_y
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__irrefl__nat,axiom,
% 191.74/192.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__not__refl2,axiom,
% 191.74/192.08 ! [V_m,V_n] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 191.74/192.08 => V_m != V_n ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__not__refl3,axiom,
% 191.74/192.08 ! [V_t,V_s] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 191.74/192.08 => V_s != V_t ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_nat__less__cases,axiom,
% 191.74/192.08 ! [V_Pa_2,V_n_2,V_m_2] :
% 191.74/192.08 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 191.74/192.08 => ( ( V_m_2 = V_n_2
% 191.74/192.08 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 191.74/192.08 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 191.74/192.08 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_one__reorient,axiom,
% 191.74/192.08 ! [V_x_2,T_b] :
% 191.74/192.08 ( class_Groups_Oone(T_b)
% 191.74/192.08 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 191.74/192.08 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__pred_H,axiom,
% 191.74/192.08 ! [V_n] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.74/192.08 => V_n = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__diff__1,axiom,
% 191.74/192.08 ! [V_n] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.74/192.08 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) = V_n ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__less__imp__less__left,axiom,
% 191.74/192.08 ! [V_b,V_a,V_c,T_a] :
% 191.74/192.08 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__less__imp__less__right,axiom,
% 191.74/192.08 ! [V_b,V_c,V_a,T_a] :
% 191.74/192.08 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__strict__mono,axiom,
% 191.74/192.08 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__strict__left__mono,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__strict__right__mono,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__less__cancel__left,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.74/192.08 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__less__cancel__right,axiom,
% 191.74/192.08 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 191.74/192.08 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__eq__diff__less,axiom,
% 191.74/192.08 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.74/192.08 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.74/192.08 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__supI1,axiom,
% 191.74/192.08 ! [V_b,V_a,V_x,T_a] :
% 191.74/192.08 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__supI2,axiom,
% 191.74/192.08 ! [V_a,V_b,V_x,T_a] :
% 191.74/192.08 ( class_Lattices_Osemilattice__sup(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__infI1,axiom,
% 191.74/192.08 ! [V_b,V_x,V_a,T_a] :
% 191.74/192.08 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__infI2,axiom,
% 191.74/192.08 ! [V_a,V_x,V_b,T_a] :
% 191.74/192.08 ( class_Lattices_Osemilattice__inf(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_gr0I,axiom,
% 191.74/192.08 ! [V_n] :
% 191.74/192.08 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_gr__implies__not0,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.74/192.08 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__nat__zero__code,axiom,
% 191.74/192.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_neq0__conv,axiom,
% 191.74/192.08 ! [V_n_2] :
% 191.74/192.08 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__less0,axiom,
% 191.74/192.08 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__less,axiom,
% 191.74/192.08 ! [V_m,V_n] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_zero__less__diff,axiom,
% 191.74/192.08 ! [V_m_2,V_n_2] :
% 191.74/192.08 ( 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)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__less__eq,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2] :
% 191.74/192.08 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__Suc__eq,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 191.74/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.74/192.08 | V_m_2 = V_n_2 ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__less__eq,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2] :
% 191.74/192.08 ( 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)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__less__less__Suc__eq,axiom,
% 191.74/192.08 ! [V_m_2,V_n_2] :
% 191.74/192.08 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 191.74/192.08 <=> V_n_2 = V_m_2 ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__antisym,axiom,
% 191.74/192.08 ! [V_m,V_n] :
% 191.74/192.08 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 191.74/192.08 => V_m = V_n ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__SucI,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__lessI,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.74/192.08 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__trans__Suc,axiom,
% 191.74/192.08 ! [V_k,V_j,V_i] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__SucE,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.74/192.08 => V_m = V_n ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__lessD,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__less__SucD,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__less__Suc,axiom,
% 191.74/192.08 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(c_Nat_OSuc,V_m))) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__Suc__1,axiom,
% 191.74/192.08 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 191.74/192.08 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__add__less1,axiom,
% 191.74/192.08 ! [V_j,V_i] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_i)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__add__less2,axiom,
% 191.74/192.08 ! [V_i,V_j] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_i)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_nat__add__left__cancel__less,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2,V_k_2] :
% 191.74/192.08 ( 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)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_trans__less__add1,axiom,
% 191.74/192.08 ! [V_m,V_j,V_i] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_trans__less__add2,axiom,
% 191.74/192.08 ! [V_m,V_j,V_i] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__less__mono1,axiom,
% 191.74/192.08 ! [V_k,V_j,V_i] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__less__mono,axiom,
% 191.74/192.08 ! [V_l,V_k,V_j,V_i] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__add__eq__less,axiom,
% 191.74/192.08 ! [V_n,V_m,V_l,V_k] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 191.74/192.08 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_n)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__lessD1,axiom,
% 191.74/192.08 ! [V_k,V_j,V_i] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__diff__conv,axiom,
% 191.74/192.08 ! [V_k_2,V_j_2,V_i_2] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__diff__inverse,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.74/192.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__less__Least,axiom,
% 191.74/192.08 ! [V_Pa_2,V_k_2,T_b] :
% 191.74/192.08 ( class_Orderings_Owellorder(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),c_Orderings_Oord__class_OLeast(T_b,V_Pa_2)))
% 191.74/192.08 => ~ hBOOL(hAPP(V_Pa_2,V_k_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_finite__PlusD_I2_J,axiom,
% 191.74/192.08 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 191.74/192.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_finite__PlusD_I1_J,axiom,
% 191.74/192.08 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 191.74/192.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_finite__Plus,axiom,
% 191.74/192.08 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.74/192.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_finite__Plus__iff,axiom,
% 191.74/192.08 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)))
% 191.74/192.08 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__neg__neg,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__pos__pos,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 191.74/192.08 ! [V_a_2,T_b] :
% 191.74/192.08 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 191.74/192.08 ! [V_a_2,T_b] :
% 191.74/192.08 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_even__less__0__iff,axiom,
% 191.74/192.08 ! [V_a_2,T_b] :
% 191.74/192.08 ( class_Rings_Olinordered__idom(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__iff__diff__less__0,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.08 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__Suc__eq__0__disj,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 191.74/192.08 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.08 | ? [B_j] :
% 191.74/192.08 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__Suc0,axiom,
% 191.74/192.08 ! [V_n_2] :
% 191.74/192.08 ( 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))))
% 191.74/192.08 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_gr0__conv__Suc,axiom,
% 191.74/192.08 ! [V_n_2] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 191.74/192.08 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__Suc__less,axiom,
% 191.74/192.08 ! [V_i,V_n] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_i))),V_n)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__pred,axiom,
% 191.74/192.08 ! [V_n] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.74/192.08 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = V_n ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_One__nat__def,axiom,
% 191.74/192.08 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__gr__0,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2] :
% 191.74/192.08 ( 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)))
% 191.74/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 191.74/192.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_nat__diff__split,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,V_Pa_2] :
% 191.74/192.08 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 191.74/192.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.74/192.08 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.74/192.08 & ! [B_d] :
% 191.74/192.08 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 191.74/192.08 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_nat__diff__split__asm,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,V_Pa_2] :
% 191.74/192.08 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a_2),V_b_2)))
% 191.74/192.08 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.74/192.08 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.74/192.08 | ? [B_d] :
% 191.74/192.08 ( V_a_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 191.74/192.08 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__iff__Suc__add,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.74/192.08 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__add__Suc2,axiom,
% 191.74/192.08 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_i)))) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__add__Suc1,axiom,
% 191.74/192.08 ! [V_m,V_i] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)))) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__eq__plus1,axiom,
% 191.74/192.08 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__eq__plus1__left,axiom,
% 191.74/192.08 ! [V_n] : hAPP(c_Nat_OSuc,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Nats__1,axiom,
% 191.74/192.08 ! [T_b] :
% 191.74/192.08 ( class_Rings_Osemiring__1(T_b)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_add__eq__if,axiom,
% 191.74/192.08 ! [V_n,V_m] :
% 191.74/192.08 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 191.74/192.08 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.74/192.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card__ge__0__finite,axiom,
% 191.74/192.08 ! [V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 191.74/192.08 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card__gt__0__iff,axiom,
% 191.74/192.08 ! [V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 191.74/192.08 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.08 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card_Oeq__fold__g,axiom,
% 191.74/192.08 ! [V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card__def,axiom,
% 191.74/192.08 ! [V_A_2,T_b] :
% 191.74/192.08 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat,T_b,c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2) )
% 191.74/192.08 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card__Plus,axiom,
% 191.74/192.08 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(tc_sum(T_b,T_c)),c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_c),V_B_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card_Oinsert,axiom,
% 191.74/192.08 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card__Diff__insert,axiom,
% 191.74/192.08 ! [V_B_2,V_a_2,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_B_2))
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_zero__less__two,axiom,
% 191.74/192.08 ! [T_a] :
% 191.74/192.08 ( class_Rings_Olinordered__semidom(T_a)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_less__add__one,axiom,
% 191.74/192.08 ! [V_a,T_a] :
% 191.74/192.08 ( class_Rings_Olinordered__semidom(T_a)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_zero__less__one,axiom,
% 191.74/192.08 ! [T_a] :
% 191.74/192.08 ( class_Rings_Olinordered__semidom(T_a)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__one__less__zero,axiom,
% 191.74/192.08 ! [T_a] :
% 191.74/192.08 ( class_Rings_Olinordered__semidom(T_a)
% 191.74/192.08 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_pos__add__strict,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Olinordered__semidom(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card_Ounion__inter__neutral,axiom,
% 191.74/192.08 ! [V_B_2,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.08 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.74/192.08 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Plus__eq__empty__conv,axiom,
% 191.74/192.08 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.74/192.08 ( c_Sum__Type_OPlus(T_b,T_c,V_A_2,V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))
% 191.74/192.08 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.74/192.08 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_termination__basic__simps_I2_J,axiom,
% 191.74/192.08 ! [V_y,V_z,V_x] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_termination__basic__simps_I1_J,axiom,
% 191.74/192.08 ! [V_z,V_y,V_x] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Ints__odd__less__0,axiom,
% 191.74/192.08 ! [V_a_2,T_b] :
% 191.74/192.08 ( class_Rings_Olinordered__idom(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_psubsetD,axiom,
% 191.74/192.08 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_not__psubset__empty,axiom,
% 191.74/192.08 ! [V_A_2,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Ints__0,axiom,
% 191.74/192.08 ! [T_b] :
% 191.74/192.08 ( class_Rings_Oring__1(T_b)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Ints__add,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.08 ( class_Rings_Oring__1(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Ints__diff,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.08 ( class_Rings_Oring__1(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Ints__1,axiom,
% 191.74/192.08 ! [T_b] :
% 191.74/192.08 ( class_Rings_Oring__1(T_b)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_psubset__card__mono,axiom,
% 191.74/192.08 ! [V_A_2,V_B_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__neqE__linordered__idom,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Rings_Olinordered__idom(T_a)
% 191.74/192.08 => ( V_x != V_y
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_comp__cong,axiom,
% 191.74/192.08 ! [T_f,T_e,T_d,T_b,T_c,V_x_H_2,V_g_H_2,V_f_H_2,V_x_2,V_g_2,V_f_2] :
% 191.74/192.08 ( hAPP(V_f_2,hAPP(V_g_2,V_x_2)) = hAPP(V_f_H_2,hAPP(V_g_H_2,V_x_H_2))
% 191.74/192.08 => hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Fun_Ocomp(T_e,T_b,T_f,V_f_H_2),V_g_H_2),V_x_H_2) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Ints__double__eq__0__iff,axiom,
% 191.74/192.08 ! [V_a_2,T_b] :
% 191.74/192.08 ( class_Int_Oring__char__0(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.74/192.08 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.74/192.08 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Ints__odd__nonzero,axiom,
% 191.74/192.08 ! [V_a_2,T_b] :
% 191.74/192.08 ( class_Int_Oring__char__0(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.74/192.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2)),V_a_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_one__neq__zero,axiom,
% 191.74/192.08 ! [T_a] :
% 191.74/192.08 ( class_Rings_Ozero__neq__one(T_a)
% 191.74/192.08 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_zero__neq__one,axiom,
% 191.74/192.08 ! [T_a] :
% 191.74/192.08 ( class_Rings_Ozero__neq__one(T_a)
% 191.74/192.08 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_fold__Un__disjoint,axiom,
% 191.74/192.08 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.74/192.08 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.08 => ( 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))
% 191.74/192.08 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_diff__Suc,axiom,
% 191.74/192.08 ! [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)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_setsum__diff1__ring,axiom,
% 191.74/192.08 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.74/192.08 ( class_Rings_Oring(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.08 => 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)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_setsum__diff1,axiom,
% 191.74/192.08 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.74/192.08 ( class_Groups_Oab__group__add(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.08 => 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)) )
% 191.74/192.08 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.08 => 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) ) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_setsum_Oremove,axiom,
% 191.74/192.08 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.74/192.08 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.74/192.08 => 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)))))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_setsum__diff1_H,axiom,
% 191.74/192.08 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.74/192.08 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.74/192.08 => 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)))))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card__Diff1__le,axiom,
% 191.74/192.08 ! [V_x_2,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_fold__image__Un__Int,axiom,
% 191.74/192.08 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.74/192.08 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.74/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_card_Oneutral,axiom,
% 191.74/192.08 ! [V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.74/192.08 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.74/192.08 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.74/192.08 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__refl,axiom,
% 191.74/192.08 ! [V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_le0,axiom,
% 191.74/192.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_psubset__trans,axiom,
% 191.74/192.08 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.74/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_zero__le__square,axiom,
% 191.74/192.08 ! [V_a,T_a] :
% 191.74/192.08 ( class_Rings_Olinordered__ring(T_a)
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a))) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_zero__le__mult__iff,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.08 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)))
% 191.74/192.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 191.74/192.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__le__0__iff,axiom,
% 191.74/192.08 ! [V_b_2,V_a_2,T_b] :
% 191.74/192.08 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.74/192.08 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 191.74/192.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__nonneg__nonneg,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__nonneg__nonpos,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__nonneg__nonpos2,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__nonpos__nonneg,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__nonpos__nonpos,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__ring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__right__mono,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__left__mono,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_comm__mult__left__mono,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__comm__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__right__mono__neg,axiom,
% 191.74/192.08 ! [V_c,V_a,V_b,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__ring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__left__mono__neg,axiom,
% 191.74/192.08 ! [V_c,V_a,V_b,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__ring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__mono_H,axiom,
% 191.74/192.08 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_mult__mono,axiom,
% 191.74/192.08 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__semiring(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_split__mult__pos__le,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__ring(T_a)
% 191.74/192.08 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 191.74/192.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_split__mult__neg__le,axiom,
% 191.74/192.08 ! [V_b,V_a,T_a] :
% 191.74/192.08 ( class_Rings_Oordered__cancel__semiring(T_a)
% 191.74/192.08 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 191.74/192.08 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_setsum__commute,axiom,
% 191.74/192.08 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 191.74/192.08 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.74/192.08 => 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) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_Suc__mult__le__cancel1,axiom,
% 191.74/192.08 ! [V_n_2,V_m_2,V_k_2] :
% 191.74/192.08 ( 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)))
% 191.74/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_le__fun__def,axiom,
% 191.74/192.08 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.74/192.08 ( class_Orderings_Oord(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.74/192.08 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__linear,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.74/192.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__eq__iff,axiom,
% 191.74/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.74/192.08 ( class_Orderings_Oorder(T_b)
% 191.74/192.08 => ( V_x_2 = V_y_2
% 191.74/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.74/192.08 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__eq__refl,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ( V_x = V_y
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_le__funD,axiom,
% 191.74/192.08 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 191.74/192.08 ( class_Orderings_Oord(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__antisym__conv,axiom,
% 191.74/192.08 ! [V_x_2,V_y_2,T_b] :
% 191.74/192.08 ( class_Orderings_Oorder(T_b)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.74/192.08 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_ord__eq__le__trans,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Orderings_Oord(T_a)
% 191.74/192.08 => ( V_a = V_b
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I3_J,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( V_a = V_b
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_ord__le__eq__trans,axiom,
% 191.74/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.74/192.08 ( class_Orderings_Oord(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.74/192.08 => ( V_b = V_c
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I4_J,axiom,
% 191.74/192.08 ! [V_c,V_a,V_b,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.74/192.08 => ( V_b = V_c
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__antisym,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.74/192.08 => V_x = V_y ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_order__trans,axiom,
% 191.74/192.08 ! [V_z,V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Opreorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I5_J,axiom,
% 191.74/192.08 ! [V_x,V_y,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.74/192.08 => V_x = V_y ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_xt1_I6_J,axiom,
% 191.74/192.08 ! [V_z,V_x,V_y,T_a] :
% 191.74/192.08 ( class_Orderings_Oorder(T_a)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_le__funE,axiom,
% 191.74/192.08 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 191.74/192.08 ( class_Orderings_Oord(T_c)
% 191.74/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.74/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_x_2)),hAPP(V_g_2,V_x_2))) ) ) ).
% 191.74/192.08
% 191.74/192.08 fof(fact_linorder__le__cases,axiom,
% 191.74/192.08 ! [V_y,V_x,T_a] :
% 191.74/192.08 ( class_Orderings_Olinorder(T_a)
% 191.74/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_times_Oidem,axiom,
% 191.91/192.08 ! [V_a,T_a] :
% 191.91/192.08 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__idem,axiom,
% 191.91/192.08 ! [V_x,T_a] :
% 191.91/192.08 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__left__idem,axiom,
% 191.91/192.08 ! [V_b,V_a,T_a] :
% 191.91/192.08 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_le__refl,axiom,
% 191.91/192.08 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_le__square,axiom,
% 191.91/192.08 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m))) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_le__cube,axiom,
% 191.91/192.08 ! [V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_m)))) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_nat__le__linear,axiom,
% 191.91/192.08 ! [V_n,V_m] :
% 191.91/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_setsum__right__distrib,axiom,
% 191.91/192.08 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 191.91/192.08 ( class_Rings_Osemiring__0(T_b)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_r_2)),V_f_2)),V_A_2) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_setsum__left__distrib,axiom,
% 191.91/192.08 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.08 ( class_Rings_Osemiring__0(T_b)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_setsum__product,axiom,
% 191.91/192.08 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.08 ( class_Rings_Osemiring__0(T_b)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b),V_g_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),tc_fun(tc_fun(T_d,tc_HOL_Obool),T_b),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,T_b),tc_fun(T_d,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_b),tc_fun(tc_fun(T_d,T_b),tc_fun(T_d,T_b)),T_c),c_COMBB(T_b,T_b,T_d)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2))),V_g_2))),V_B_2)),V_A_2) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_eq__imp__le,axiom,
% 191.91/192.08 ! [V_n,V_m] :
% 191.91/192.08 ( V_m = V_n
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__mono1,axiom,
% 191.91/192.08 ! [V_k,V_j,V_i] :
% 191.91/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__mono2,axiom,
% 191.91/192.08 ! [V_k,V_j,V_i] :
% 191.91/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_le__trans,axiom,
% 191.91/192.08 ! [V_k,V_j,V_i] :
% 191.91/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_le__antisym,axiom,
% 191.91/192.08 ! [V_n,V_m] :
% 191.91/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.08 => V_m = V_n ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__mono,axiom,
% 191.91/192.08 ! [V_l,V_k,V_j,V_i] :
% 191.91/192.08 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 191.91/192.08 ! [V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 191.91/192.08 ! [V_ry,V_rx,V_lx,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ry)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 191.91/192.08 ! [V_ry,V_rx,V_lx,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ry) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 191.91/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.08 ( class_Groups_Oab__semigroup__mult(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 191.91/192.08 ! [V_rx,V_ly,V_lx,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_rx)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 191.91/192.08 ! [V_rx,V_ly,V_lx,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_rx) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),V_ly) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 191.91/192.08 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry))) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 191.91/192.08 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),V_ry)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 191.91/192.08 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_ly)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_rx),V_ry)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_lx),V_rx)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_ly),V_ry)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__left__le__imp__le,axiom,
% 191.91/192.08 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__right__le__imp__le,axiom,
% 191.91/192.08 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__less__imp__less__left,axiom,
% 191.91/192.08 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__left__less__imp__less,axiom,
% 191.91/192.08 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__less__imp__less__right,axiom,
% 191.91/192.08 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__right__less__imp__less,axiom,
% 191.91/192.08 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__less__imp__less,axiom,
% 191.91/192.08 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__less__le__imp__less,axiom,
% 191.91/192.08 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__strict__mono_H,axiom,
% 191.91/192.08 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__strict__mono,axiom,
% 191.91/192.08 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_d))) ) ) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__cancel__left__neg,axiom,
% 191.91/192.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.08 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 191.91/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__cancel__left__pos,axiom,
% 191.91/192.08 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.08 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 191.91/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_sum__squares__ge__zero,axiom,
% 191.91/192.08 ! [V_y,V_x,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__ring(T_a)
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y)))) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_sum__squares__le__zero__iff,axiom,
% 191.91/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.08 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.08 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.08 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__left__le__one__le,axiom,
% 191.91/192.08 ! [V_y,V_x,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_x)),V_x)) ) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__right__le__one__le,axiom,
% 191.91/192.08 ! [V_y,V_x,T_a] :
% 191.91/192.08 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_x)) ) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_le__add__iff1,axiom,
% 191.91/192.08 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.91/192.08 ( class_Rings_Oordered__ring(T_b)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 191.91/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_le__add__iff2,axiom,
% 191.91/192.08 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.91/192.08 ( class_Rings_Oordered__ring(T_b)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 191.91/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_one__le__mult__iff,axiom,
% 191.91/192.08 ! [V_n_2,V_m_2] :
% 191.91/192.08 ( 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)))
% 191.91/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m_2))
% 191.91/192.08 & 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)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__cancel2,axiom,
% 191.91/192.08 ! [V_n_2,V_k_2,V_m_2] :
% 191.91/192.08 ( 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)))
% 191.91/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__le__cancel1,axiom,
% 191.91/192.08 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.08 ( 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)))
% 191.91/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.91/192.08 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 191.91/192.08 ! [V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 191.91/192.08 ! [V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_divisors__zero,axiom,
% 191.91/192.08 ! [V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ono__zero__divisors(T_a)
% 191.91/192.08 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.08 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.08 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_no__zero__divisors,axiom,
% 191.91/192.08 ! [V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ono__zero__divisors(T_a)
% 191.91/192.08 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.08 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__eq__0__iff,axiom,
% 191.91/192.08 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.08 ( class_Rings_Oring__no__zero__divisors(T_b)
% 191.91/192.08 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.08 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.08 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__zero__right,axiom,
% 191.91/192.08 ! [V_a,T_a] :
% 191.91/192.08 ( class_Rings_Omult__zero(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_mult__zero__left,axiom,
% 191.91/192.08 ! [V_a,T_a] :
% 191.91/192.08 ( class_Rings_Omult__zero(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_crossproduct__eq,axiom,
% 191.91/192.08 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 191.91/192.08 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 191.91/192.08 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_z_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_y_2))
% 191.91/192.08 <=> ( V_w_2 = V_x_2
% 191.91/192.08 | V_y_2 = V_z_2 ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 191.91/192.08 ! [V_b,V_m,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_m) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 191.91/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_crossproduct__noteq,axiom,
% 191.91/192.08 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.08 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 191.91/192.08 => ( ( V_a_2 != V_b_2
% 191.91/192.08 & V_c_2 != V_d_2 )
% 191.91/192.08 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_d_2)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 191.91/192.08 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_combine__common__factor,axiom,
% 191.91/192.08 ! [V_c,V_b,V_e,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Osemiring(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_e)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_e)),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_e)),V_c) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_comm__semiring__class_Odistrib,axiom,
% 191.91/192.08 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.08 ( class_Rings_Ocomm__semiring(T_a)
% 191.91/192.08 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_linorder__not__less,axiom,
% 191.91/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.08 ( class_Orderings_Olinorder(T_b)
% 191.91/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.91/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_linorder__not__le,axiom,
% 191.91/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.08 ( class_Orderings_Olinorder(T_b)
% 191.91/192.08 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.08 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_linorder__le__less__linear,axiom,
% 191.91/192.08 ! [V_y,V_x,T_a] :
% 191.91/192.08 ( class_Orderings_Olinorder(T_a)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.08 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_order__less__le,axiom,
% 191.91/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.08 ( class_Orderings_Oorder(T_b)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.91/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.08 & V_x_2 != V_y_2 ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_less__le__not__le,axiom,
% 191.91/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.08 ( class_Orderings_Opreorder(T_b)
% 191.91/192.08 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.91/192.08 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.08 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 191.91/192.08
% 191.91/192.08 fof(fact_order__le__less,axiom,
% 191.91/192.08 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.08 ( class_Orderings_Oorder(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.91/192.09 | V_x_2 = V_y_2 ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_leI,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Orderings_Olinorder(T_a)
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_not__leE,axiom,
% 191.91/192.09 ! [V_x,V_y,T_a] :
% 191.91/192.09 ( class_Orderings_Olinorder(T_a)
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_linorder__antisym__conv1,axiom,
% 191.91/192.09 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Orderings_Olinorder(T_b)
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_order__neq__le__trans,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Orderings_Oorder(T_a)
% 191.91/192.09 => ( V_a != V_b
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_xt1_I12_J,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Orderings_Oorder(T_a)
% 191.91/192.09 => ( V_a != V_b
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_leD,axiom,
% 191.91/192.09 ! [V_x,V_y,T_a] :
% 191.91/192.09 ( class_Orderings_Olinorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_order__less__imp__le,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Orderings_Opreorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_linorder__antisym__conv2,axiom,
% 191.91/192.09 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Orderings_Olinorder(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 191.91/192.09 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_order__le__imp__less__or__eq,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Orderings_Oorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.91/192.09 | V_x = V_y ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_order__le__neq__trans,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Orderings_Oorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.09 => ( V_a != V_b
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_xt1_I11_J,axiom,
% 191.91/192.09 ! [V_a,V_b,T_a] :
% 191.91/192.09 ( class_Orderings_Oorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.91/192.09 => ( V_a != V_b
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_order__less__le__trans,axiom,
% 191.91/192.09 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.09 ( class_Orderings_Opreorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_xt1_I7_J,axiom,
% 191.91/192.09 ! [V_z,V_x,V_y,T_a] :
% 191.91/192.09 ( class_Orderings_Oorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_order__le__less__trans,axiom,
% 191.91/192.09 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.09 ( class_Orderings_Opreorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_xt1_I8_J,axiom,
% 191.91/192.09 ! [V_z,V_x,V_y,T_a] :
% 191.91/192.09 ( class_Orderings_Oorder(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__le__imp__le__left,axiom,
% 191.91/192.09 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__le__imp__le__right,axiom,
% 191.91/192.09 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__mono,axiom,
% 191.91/192.09 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__left__mono,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__right__mono,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__le__cancel__left,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.09 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_c_2),V_b_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__le__cancel__right,axiom,
% 191.91/192.09 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_c_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__1__left,axiom,
% 191.91/192.09 ! [V_a,T_a] :
% 191.91/192.09 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 191.91/192.09 ! [V_a,T_a] :
% 191.91/192.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__1,axiom,
% 191.91/192.09 ! [V_a,T_a] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__mult(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__1__right,axiom,
% 191.91/192.09 ! [V_a,T_a] :
% 191.91/192.09 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 191.91/192.09 ! [V_a,T_a] :
% 191.91/192.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult_Ocomm__neutral,axiom,
% 191.91/192.09 ! [V_a,T_a] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__mult(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_bot__least,axiom,
% 191.91/192.09 ! [V_x,T_a] :
% 191.91/192.09 ( class_Orderings_Obot(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__eq__diff__less__eq,axiom,
% 191.91/192.09 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_c_2),V_d_2)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__cancel2,axiom,
% 191.91/192.09 ! [V_n_2,V_k_2,V_m_2] :
% 191.91/192.09 ( 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)
% 191.91/192.09 <=> ( V_m_2 = V_n_2
% 191.91/192.09 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__cancel1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( 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)
% 191.91/192.09 <=> ( V_m_2 = V_n_2
% 191.91/192.09 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__is__0,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.09 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.09 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__0__right,axiom,
% 191.91/192.09 ! [V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__0,axiom,
% 191.91/192.09 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__mult__cancel1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( 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)
% 191.91/192.09 <=> V_m_2 = V_n_2 ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__sup__ord_I3_J,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Olattice(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sup__ge1,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__sup__ord_I4_J,axiom,
% 191.91/192.09 ! [V_x,V_y,T_a] :
% 191.91/192.09 ( class_Lattices_Olattice(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sup__ge2,axiom,
% 191.91/192.09 ! [V_x,V_y,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__iff__sup,axiom,
% 191.91/192.09 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.09 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__sup__iff,axiom,
% 191.91/192.09 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2)),V_z_2))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__supI1,axiom,
% 191.91/192.09 ! [V_b,V_a,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__supI2,axiom,
% 191.91/192.09 ! [V_a,V_b,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sup__absorb2,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sup__absorb1,axiom,
% 191.91/192.09 ! [V_x,V_y,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__supI,axiom,
% 191.91/192.09 ! [V_b,V_x,V_a,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sup__least,axiom,
% 191.91/192.09 ! [V_z,V_x,V_y,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sup__mono,axiom,
% 191.91/192.09 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_c),V_d))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__supE,axiom,
% 191.91/192.09 ! [V_x,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__sup(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_b)),V_x))
% 191.91/192.09 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/192.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__sup__ord_I1_J,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Olattice(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__le1,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_x)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__sup__ord_I2_J,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Olattice(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__le2,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),V_y)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__iff__inf,axiom,
% 191.91/192.09 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.09 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__inf__iff,axiom,
% 191.91/192.09 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_y_2),V_z_2)))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__infI1,axiom,
% 191.91/192.09 ! [V_b,V_x,V_a,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__infI2,axiom,
% 191.91/192.09 ! [V_a,V_x,V_b,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__absorb1,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__absorb2,axiom,
% 191.91/192.09 ! [V_x,V_y,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.09 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__infI,axiom,
% 191.91/192.09 ! [V_b,V_a,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__greatest,axiom,
% 191.91/192.09 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_inf__mono,axiom,
% 191.91/192.09 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_c),V_d))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__infE,axiom,
% 191.91/192.09 ! [V_b,V_a,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Osemilattice__inf(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_b)))
% 191.91/192.09 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/192.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__0__eq,axiom,
% 191.91/192.09 ! [V_n_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 191.91/192.09 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 191.91/192.09 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__mult__distrib2,axiom,
% 191.91/192.09 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__mult__distrib,axiom,
% 191.91/192.09 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__n__not__le__n,axiom,
% 191.91/192.09 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_not__less__eq__eq,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__Suc__eq,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__le__mono,axiom,
% 191.91/192.09 ! [V_m_2,V_n_2] :
% 191.91/192.09 ( 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)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__SucI,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__SucE,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__leD,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__less__le,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 & V_m_2 != V_n_2 ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__eq__less__or__eq,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 | V_m_2 = V_n_2 ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__imp__le__nat,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__neq__implies__less,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => ( V_m != V_n
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__or__eq__imp__le,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 | V_m = V_n )
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_termination__basic__simps_I5_J,axiom,
% 191.91/192.09 ! [V_y,V_x] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__add2,axiom,
% 191.91/192.09 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n))) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__add1,axiom,
% 191.91/192.09 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m))) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__iff__add,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__add__left__cancel__le,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( 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)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_trans__le__add1,axiom,
% 191.91/192.09 ! [V_m,V_j,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_m))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_trans__le__add2,axiom,
% 191.91/192.09 ! [V_m,V_j,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_j))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__le__mono1,axiom,
% 191.91/192.09 ! [V_k,V_j,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__le__mono,axiom,
% 191.91/192.09 ! [V_l,V_k,V_j,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_l))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__leD2,axiom,
% 191.91/192.09 ! [V_n,V_k,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__leD1,axiom,
% 191.91/192.09 ! [V_n,V_k,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__leE,axiom,
% 191.91/192.09 ! [V_n,V_k,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),V_n))
% 191.91/192.09 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_termination__basic__simps_I4_J,axiom,
% 191.91/192.09 ! [V_y,V_z,V_x] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_termination__basic__simps_I3_J,axiom,
% 191.91/192.09 ! [V_z,V_y,V_x] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__mult__distrib2,axiom,
% 191.91/192.09 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__mult__distrib,axiom,
% 191.91/192.09 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__le__self,axiom,
% 191.91/192.09 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__le__mono2,axiom,
% 191.91/192.09 ! [V_l,V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_n)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_l),V_m))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__le__mono,axiom,
% 191.91/192.09 ! [V_l,V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_l)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_l))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__diff__cancel,axiom,
% 191.91/192.09 ! [V_n,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = V_i ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_eq__diff__iff,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 191.91/192.09 => ( 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)
% 191.91/192.09 <=> V_m_2 = V_n_2 ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Nat_Odiff__diff__eq,axiom,
% 191.91/192.09 ! [V_n,V_m,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__diff__iff,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 191.91/192.09 => ( 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)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__mult__1,axiom,
% 191.91/192.09 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__1__eq__mult__iff,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 191.91/192.09 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/192.09 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__mult__1__right,axiom,
% 191.91/192.09 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__mult__eq__1__iff,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/192.09 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/192.09 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_evaln__nonstrict,axiom,
% 191.91/192.09 ! [V_m,V_t,V_n,V_s,V_c] :
% 191.91/192.09 ( c_Natural_Oevaln(V_c,V_s,V_n,V_t)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.09 => c_Natural_Oevaln(V_c,V_s,V_m,V_t) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__0,axiom,
% 191.91/192.09 ! [V_A_2,T_c,T_b] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_A_2) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__addf,axiom,
% 191.91/192.09 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__subtractf,axiom,
% 191.91/192.09 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/192.09 ( class_Groups_Oab__group__add(T_b)
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),V_A_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_convex__bound__le,axiom,
% 191.91/192.09 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__1(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_fun__left__comm__idem,axiom,
% 191.91/192.09 ! [T_b] :
% 191.91/192.09 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.91/192.09 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Least__le,axiom,
% 191.91/192.09 ! [V_k_2,V_Pa_2,T_b] :
% 191.91/192.09 ( class_Orderings_Owellorder(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Orderings_Oord__class_OLeast(T_b,V_Pa_2)),V_k_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum_Oempty,axiom,
% 191.91/192.09 ! [V_g_2,T_c,T_b] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__empty,axiom,
% 191.91/192.09 ! [V_f_2,T_c,T_b] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum_Oinfinite,axiom,
% 191.91/192.09 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__infinite,axiom,
% 191.91/192.09 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__eq__0__iff,axiom,
% 191.91/192.09 ! [V_f_2,V_F_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/192.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.09 <=> ! [B_x] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 191.91/192.09 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_convex__bound__lt,axiom,
% 191.91/192.09 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__strict__left__mono__neg,axiom,
% 191.91/192.09 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__strict__right__mono__neg,axiom,
% 191.91/192.09 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_comm__mult__strict__left__mono,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__strict__left__mono,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__strict__right__mono,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__neg__neg,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => 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))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__neg__pos,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__cancel__left__neg,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_zero__less__mult__pos2,axiom,
% 191.91/192.09 ! [V_a,V_b,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_zero__less__mult__pos,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( 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)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__pos__neg2,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__pos__neg,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__pos__pos,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semiring__strict(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.09 => 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))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__cancel__left__pos,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__cancel__left__disj,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_a_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_c_2),V_b_2)))
% 191.91/192.09 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 191.91/192.09 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__cancel__right__disj,axiom,
% 191.91/192.09 ! [V_b_2,V_c_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_c_2)))
% 191.91/192.09 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) )
% 191.91/192.09 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2)) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_not__square__less__zero,axiom,
% 191.91/192.09 ! [V_a,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__ring(T_a)
% 191.91/192.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__scale__eq__noteq,axiom,
% 191.91/192.09 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 191.91/192.09 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 191.91/192.09 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.09 => ( ( V_a = V_b
% 191.91/192.09 & V_c != V_d )
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_c)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_r),V_d)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sum__squares__eq__zero__iff,axiom,
% 191.91/192.09 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2)) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.09 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.09 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__1__mult,axiom,
% 191.91/192.09 ! [V_n,V_m,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_m),V_n))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_eq__add__iff1,axiom,
% 191.91/192.09 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Rings_Oring(T_b)
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 191.91/192.09 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2) = V_d_2 ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_eq__add__iff2,axiom,
% 191.91/192.09 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Rings_Oring(T_b)
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)
% 191.91/192.09 <=> V_c_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__nonpos__nonpos,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__increasing2,axiom,
% 191.91/192.09 ! [V_a,V_b,V_c,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__increasing,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__nonneg__eq__0__iff,axiom,
% 191.91/192.09 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.09 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.09 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__nonneg__nonneg,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 191.91/192.09 ! [V_a_2,T_b] :
% 191.91/192.09 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 191.91/192.09 ! [V_a_2,T_b] :
% 191.91/192.09 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_a_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__le__less__mono,axiom,
% 191.91/192.09 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__less__le__mono,axiom,
% 191.91/192.09 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 191.91/192.09 ! [V_m,V_a,T_a] :
% 191.91/192.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 191.91/192.09 ! [V_a,V_m,T_a] :
% 191.91/192.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_m)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 191.91/192.09 ! [V_m,T_a] :
% 191.91/192.09 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_m),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),V_m) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__iff__diff__le__0,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_zero__le__one,axiom,
% 191.91/192.09 ! [T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_not__one__le__zero,axiom,
% 191.91/192.09 ! [T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__eq__1__iff,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( 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))
% 191.91/192.09 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/192.09 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__0__less__mult__iff,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( 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)))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__cancel1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( 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)))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__cancel2,axiom,
% 191.91/192.09 ! [V_n_2,V_k_2,V_m_2] :
% 191.91/192.09 ( 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)))
% 191.91/192.09 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.91/192.09 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__mono1,axiom,
% 191.91/192.09 ! [V_k,V_j,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_k)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_k))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__less__mono2,axiom,
% 191.91/192.09 ! [V_k,V_j,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_j))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__mult__less__cancel1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( 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)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_distrib__inf__le,axiom,
% 191.91/192.09 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Olattice(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_y),V_z)))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_distrib__sup__le,axiom,
% 191.91/192.09 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.09 ( class_Lattices_Olattice(T_a)
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_y),V_z))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_z)))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__Suc,axiom,
% 191.91/192.09 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__Suc__right,axiom,
% 191.91/192.09 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__eq__Suc__le,axiom,
% 191.91/192.09 ! [V_m_2,V_n_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__Suc__eq__le,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__le__eq,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__imp__less__Suc,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__leI,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__less__Suc__eq,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 191.91/192.09 <=> V_n_2 = V_m_2 ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__le__lessD,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum_Odistrib,axiom,
% 191.91/192.09 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Oplus__class_Oplus(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__is__0__eq_H,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__is__0__eq,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2] :
% 191.91/192.09 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Suc__diff__le,axiom,
% 191.91/192.09 ! [V_m,V_n] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__eq__self__implies__10,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 191.91/192.09 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/192.09 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__less__mono,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__diff__iff,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 191.91/192.09 => ( 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)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__diff__right,axiom,
% 191.91/192.09 ! [V_i,V_j,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__diff__conv,axiom,
% 191.91/192.09 ! [V_i_2,V_k_2,V_j_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)),V_i_2))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__add__diff,axiom,
% 191.91/192.09 ! [V_m,V_n,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_k))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__add__diff__inverse,axiom,
% 191.91/192.09 ! [V_m,V_n] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = V_m ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__diff__assoc,axiom,
% 191.91/192.09 ! [V_i,V_j,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__diff__conv2,axiom,
% 191.91/192.09 ! [V_i_2,V_j_2,V_k_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_k_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),V_j_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__add__diff__inverse2,axiom,
% 191.91/192.09 ! [V_m,V_n] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_le__imp__diff__is__add,axiom,
% 191.91/192.09 ! [V_k_2,V_j_2,V_i_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.91/192.09 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 191.91/192.09 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__add__assoc,axiom,
% 191.91/192.09 ! [V_i,V_j,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__diff__assoc2,axiom,
% 191.91/192.09 ! [V_i,V_j,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__add__assoc2,axiom,
% 191.91/192.09 ! [V_i,V_j,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_i)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k)),V_i) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Ints__mult,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Rings_Oring__1(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_card__eq__setsum,axiom,
% 191.91/192.09 ! [V_A_2,T_b] : hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(c_COMBK(tc_Nat_Onat,T_b),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_A_2) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Nats__mult,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__eq__Suc__le__raw,axiom,
% 191.91/192.09 ! [V_n_2] : hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__case__0,axiom,
% 191.91/192.09 ! [V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__case__Suc,axiom,
% 191.91/192.09 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_f1_2,V_f2_2,hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(V_f2_2,V_nat_2) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__eq__Suc0__iff,axiom,
% 191.91/192.09 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/192.09 <=> ? [B_x] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.09 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/192.09 & ! [B_xa] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.91/192.09 => ( B_x != B_xa
% 191.91/192.09 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__eq__1__iff,axiom,
% 191.91/192.09 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/192.09 <=> ? [B_x] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.09 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/192.09 & ! [B_xa] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.91/192.09 => ( B_x != B_xa
% 191.91/192.09 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_not__sum__squares__lt__zero,axiom,
% 191.91/192.09 ! [V_y,V_x,T_a] :
% 191.91/192.09 ( class_Rings_Olinordered__ring(T_a)
% 191.91/192.09 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_y))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_sum__squares__gt__zero__iff,axiom,
% 191.91/192.09 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.09 ( class_Rings_Olinordered__ring__strict(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_y_2),V_y_2))))
% 191.91/192.09 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.09 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__delta_H,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 191.91/192.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__delta,axiom,
% 191.91/192.09 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.09 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 191.91/192.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__add__iff1,axiom,
% 191.91/192.09 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Rings_Oordered__ring(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a_2),V_b_2)),V_e_2)),V_c_2)),V_d_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_less__add__iff2,axiom,
% 191.91/192.09 ! [V_d_2,V_b_2,V_c_2,V_e_2,V_a_2,T_b] :
% 191.91/192.09 ( class_Rings_Oordered__ring(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_e_2)),V_c_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_e_2)),V_d_2)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b_2),V_a_2)),V_e_2)),V_d_2))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__nonpos__neg,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__neg__nonpos,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__strict__increasing2,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__strict__increasing,axiom,
% 191.91/192.09 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__nonneg__pos,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_add__pos__nonneg,axiom,
% 191.91/192.09 ! [V_b,V_a,T_a] :
% 191.91/192.09 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_one__less__mult,axiom,
% 191.91/192.09 ! [V_m,V_n] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_n__less__n__mult__m,axiom,
% 191.91/192.09 ! [V_m,V_n] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_n__less__m__mult__n,axiom,
% 191.91/192.09 ! [V_m,V_n] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_m))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_card__insert__le,axiom,
% 191.91/192.09 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_card__image__le,axiom,
% 191.91/192.09 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__Suc__diff__eq1,axiom,
% 191.91/192.09 ! [V_m,V_j,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_k)),hAPP(c_Nat_OSuc,V_j)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__Suc__diff__eq2,axiom,
% 191.91/192.09 ! [V_m,V_j,V_k] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_k))),V_m) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_j)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k),V_m)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum_Oinsert,axiom,
% 191.91/192.09 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__insert,axiom,
% 191.91/192.09 ! [V_f_2,V_a_2,V_F_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_F_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_fold__image__distrib,axiom,
% 191.91/192.09 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),c_Groups_Oone__class_Oone(T_c)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_h_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__Un__Int,axiom,
% 191.91/192.09 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum_Oeq__fold,axiom,
% 191.91/192.09 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum_OF__eq,axiom,
% 191.91/192.09 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Oplus__class_Oplus(T_c)),V_g_2),c_Groups_Ozero__class_Ozero(T_c)),V_A_2) )
% 191.91/192.09 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__restrict__set,axiom,
% 191.91/192.09 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_fold__image__insert,axiom,
% 191.91/192.09 ! [V_z_2,V_g_2,V_a_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Oab__semigroup__mult(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.09 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_a_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),V_A_2)) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_mult__eq__if,axiom,
% 191.91/192.09 ! [V_n,V_m] :
% 191.91/192.09 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.09 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.09 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_n)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_diff__card__le__card__Diff,axiom,
% 191.91/192.09 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Inf__le__Sup,axiom,
% 191.91/192.09 ! [V_A_2,T_b] :
% 191.91/192.09 ( class_Lattices_Olattice(T_b)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum_Oinsert__remove,axiom,
% 191.91/192.09 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__Un__disjoint,axiom,
% 191.91/192.09 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.09 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__Un,axiom,
% 191.91/192.09 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.09 ( class_Groups_Oab__group__add(T_c)
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__diff1__nat,axiom,
% 191.91/192.09 ! [V_f_2,V_A_2,V_a_2,T_b] :
% 191.91/192.09 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 191.91/192.09 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_setsum__Un__nat,axiom,
% 191.91/192.09 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.09 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__less__add__iff1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 191.91/192.09 => ( 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)))
% 191.91/192.09 <=> 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)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__less__add__iff2,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.91/192.09 => ( 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)))
% 191.91/192.09 <=> 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))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__le__add__iff1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 191.91/192.09 => ( 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)))
% 191.91/192.09 <=> 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)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__diff__add__eq1,axiom,
% 191.91/192.09 ! [V_n,V_m,V_u,V_i,V_j] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_i),V_j)),V_u)),V_m)),V_n) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__eq__add__iff1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 191.91/192.09 => ( 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)
% 191.91/192.09 <=> 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 ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__le__add__iff2,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.91/192.09 => ( 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)))
% 191.91/192.09 <=> 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))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__diff__add__eq2,axiom,
% 191.91/192.09 ! [V_n,V_m,V_u,V_j,V_i] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 191.91/192.09 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),V_m)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i)),V_u)),V_n)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__eq__add__iff2,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.91/192.09 => ( 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)
% 191.91/192.09 <=> 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) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__mult__le__cancel1,axiom,
% 191.91/192.09 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.91/192.09 => ( 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)))
% 191.91/192.09 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_subsetD,axiom,
% 191.91/192.09 ! [V_c_2,V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_B_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_empty__subsetI,axiom,
% 191.91/192.09 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__mult__commute,axiom,
% 191.91/192.09 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_nat__mult__assoc,axiom,
% 191.91/192.09 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_set__mp,axiom,
% 191.91/192.09 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_set__rev__mp,axiom,
% 191.91/192.09 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_in__mono,axiom,
% 191.91/192.09 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_subset__empty,axiom,
% 191.91/192.09 ! [V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.09 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_rev__finite__subset,axiom,
% 191.91/192.09 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_finite__subset,axiom,
% 191.91/192.09 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.09 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_insert__mono,axiom,
% 191.91/192.09 ! [V_a_2,V_D_2,V_C_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_subset__insertI2,axiom,
% 191.91/192.09 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_subset__insertI,axiom,
% 191.91/192.09 ! [V_a_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2))) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_image__mono,axiom,
% 191.91/192.09 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_subset__image__iff,axiom,
% 191.91/192.09 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.91/192.09 <=> ? [B_AA] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 191.91/192.09 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Un__mono,axiom,
% 191.91/192.09 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Un__least,axiom,
% 191.91/192.09 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2)) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Un__absorb2,axiom,
% 191.91/192.09 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Un__absorb1,axiom,
% 191.91/192.09 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_subset__Un__eq,axiom,
% 191.91/192.09 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.09 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Un__upper2,axiom,
% 191.91/192.09 ! [V_A_2,V_B_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Un__upper1,axiom,
% 191.91/192.09 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Int__mono,axiom,
% 191.91/192.09 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Int__greatest,axiom,
% 191.91/192.09 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 191.91/192.09 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 191.91/192.09 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 191.91/192.09 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.91/192.09
% 191.91/192.09 fof(fact_Int__absorb1,axiom,
% 191.91/192.09 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Int__absorb2,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Int__lower2,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Int__lower1,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_double__diff,axiom,
% 191.91/192.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/192.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) = V_A_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Diff__mono,axiom,
% 191.91/192.10 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Diff__subset,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_less__fun__def,axiom,
% 191.91/192.10 ! [V_g_2,V_f_2,T_b,T_c] :
% 191.91/192.10 ( class_Orderings_Oord(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 191.91/192.10 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_asm,axiom,
% 191.91/192.10 ! [V_Ga_2,V_ts_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2))
% 191.91/192.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_weaken,axiom,
% 191.91/192.10 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 191.91/192.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 191.91/192.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_thin,axiom,
% 191.91/192.10 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 191.91/192.10 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_G_H_2),V_Ga_2))
% 191.91/192.10 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_subset__psubset__trans,axiom,
% 191.91/192.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_psubset__subset__trans,axiom,
% 191.91/192.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_psubset__imp__subset,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_subset__iff__psubset__eq,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 | V_A_2 = V_B_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_psubset__eq,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 & V_A_2 != V_B_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_pred__subset__eq,axiom,
% 191.91/192.10 ! [V_S_2,V_R_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_insert__subset,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)),V_B_2))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.91/192.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_subset__insert,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 191.91/192.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_subset__singletonD,axiom,
% 191.91/192.10 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 191.91/192.10 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_finite__surj,axiom,
% 191.91/192.10 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.91/192.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_image__Int__subset,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Un__Int__assoc__eq,axiom,
% 191.91/192.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_image__diff__subset,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Diff__subset__conv,axiom,
% 191.91/192.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Diff__partition,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) = V_B_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_card__mono,axiom,
% 191.91/192.10 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_card__seteq,axiom,
% 191.91/192.10 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)))
% 191.91/192.10 => V_A_2 = V_B_2 ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__diff__nat,axiom,
% 191.91/192.10 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.10 ( 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)
% 191.91/192.10 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.10 | V_m_2 = V_n_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_left__add__mult__distrib,axiom,
% 191.91/192.10 ! [V_k,V_j,V_u,V_i] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_i),V_u)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_j),V_u)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_u)),V_k) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 191.91/192.10 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_diff__single__insert,axiom,
% 191.91/192.10 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_subset__insert__iff,axiom,
% 191.91/192.10 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 191.91/192.10 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 191.91/192.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__diff,axiom,
% 191.91/192.10 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Oab__group__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_card__Diff__subset,axiom,
% 191.91/192.10 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Sup__fin_Osubset__idem,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Olattice(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Inf__fin_Osubset__idem,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Olattice(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_card__psubset,axiom,
% 191.91/192.10 ! [V_A_2,V_B_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 191.91/192.10 <=> 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_psubset__insert__iff,axiom,
% 191.91/192.10 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_B_2)))
% 191.91/192.10 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 191.91/192.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 191.91/192.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2)) )
% 191.91/192.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_nat__mult__eq__cancel1,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.91/192.10 => ( 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)
% 191.91/192.10 <=> V_m_2 = V_n_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_nat__mult__less__cancel1,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2,V_k_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 191.91/192.10 => ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__image__Un__one,axiom,
% 191.91/192.10 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 191.91/192.10 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/192.10 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__Un__zero,axiom,
% 191.91/192.10 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 191.91/192.10 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 191.91/192.10 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.91/192.10 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__reindex__nonzero,axiom,
% 191.91/192.10 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/192.10 => ! [B_y] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 191.91/192.10 => ( B_x != B_y
% 191.91/192.10 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 191.91/192.10 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)),V_S_2) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__mono2,axiom,
% 191.91/192.10 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( ! [B_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_flat__lub__def,axiom,
% 191.91/192.10 ! [V_b_2,V_A_2,T_b] :
% 191.91/192.10 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 191.91/192.10 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 191.91/192.10 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 191.91/192.10 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__nonneg__leq__bound,axiom,
% 191.91/192.10 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Oordered__ab__group__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.91/192.10 => ( ! [B_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 191.91/192.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__nonneg__0,axiom,
% 191.91/192.10 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Oordered__ab__group__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.91/192.10 => ( ! [B_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 191.91/192.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = c_Groups_Ozero__class_Ozero(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 191.91/192.10 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_equalityI,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.10 => V_A_2 = V_B_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_subset__refl,axiom,
% 191.91/192.10 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_A_2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_set__eq__subset,axiom,
% 191.91/192.10 ! [T_b,V_B_2,V_A_2] :
% 191.91/192.10 ( V_A_2 = V_B_2
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_rev__predicate1D,axiom,
% 191.91/192.10 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] :
% 191.91/192.10 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 191.91/192.10 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_equalityD1,axiom,
% 191.91/192.10 ! [T_b,V_B_2,V_A_2] :
% 191.91/192.10 ( V_A_2 = V_B_2
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_equalityD2,axiom,
% 191.91/192.10 ! [T_b,V_B_2,V_A_2] :
% 191.91/192.10 ( V_A_2 = V_B_2
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_predicate1D,axiom,
% 191.91/192.10 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 191.91/192.10 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/192.10 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_subset__trans,axiom,
% 191.91/192.10 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_equalityE,axiom,
% 191.91/192.10 ! [T_b,V_B_2,V_A_2] :
% 191.91/192.10 ( V_A_2 = V_B_2
% 191.91/192.10 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__mono3,axiom,
% 191.91/192.10 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.10 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_ex__least__nat__less,axiom,
% 191.91/192.10 ! [V_n_2,V_Pa_2] :
% 191.91/192.10 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 191.91/192.10 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 191.91/192.10 => ? [B_k] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 191.91/192.10 & ! [B_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 191.91/192.10 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 191.91/192.10 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__mono__zero__left,axiom,
% 191.91/192.10 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.91/192.10 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__mono__zero__right,axiom,
% 191.91/192.10 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.91/192.10 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Least__mono,axiom,
% 191.91/192.10 ! [V_S_2,V_f_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Orderings_Oorder(T_c)
% 191.91/192.10 & class_Orderings_Oorder(T_b) )
% 191.91/192.10 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.10 => ( ? [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/192.10 & ! [B_xa] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_S_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) )
% 191.91/192.10 => 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))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_finite__subset__induct,axiom,
% 191.91/192.10 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.10 => ( ! [B_a,B_F] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.91/192.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 191.91/192.10 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 191.91/192.10 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 191.91/192.10 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__strict__mono,axiom,
% 191.91/192.10 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.10 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_monoD,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2,V_f_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Orderings_Oorder(T_c)
% 191.91/192.10 & class_Orderings_Oorder(T_b) )
% 191.91/192.10 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.10 => 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))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_mono__Suc,axiom,
% 191.91/192.10 c_Orderings_Oorder__class_Omono(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_mono__Un,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 191.91/192.10 => 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)))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_mono__Int,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 191.91/192.10 => 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)))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_mono__iff__le__Suc,axiom,
% 191.91/192.10 ! [V_f_2,T_b] :
% 191.91/192.10 ( class_Orderings_Oorder(T_b)
% 191.91/192.10 => ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat,T_b,V_f_2)
% 191.91/192.10 <=> ! [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)))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_mono__sup,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Lattices_Osemilattice__sup(T_c)
% 191.91/192.10 & class_Lattices_Osemilattice__sup(T_b) )
% 191.91/192.10 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.10 => 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)))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_mono__inf,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Lattices_Osemilattice__inf(T_c)
% 191.91/192.10 & class_Lattices_Osemilattice__inf(T_b) )
% 191.91/192.10 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.10 => 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)))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__graph__permute__diff,axiom,
% 191.91/192.10 ! [V_a_2,V_x_2,V_A_2,V_b_2,T_b] :
% 191.91/192.10 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.91/192.10 => ( 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))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.91/192.10 => 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)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__Un,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__insert,axiom,
% 191.91/192.10 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.91/192.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => 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)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_arith__series__nat,axiom,
% 191.91/192.10 ! [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)))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__SucD,axiom,
% 191.91/192.10 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 191.91/192.10 ( 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)
% 191.91/192.10 => ? [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.10 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Oremove,axiom,
% 191.91/192.10 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__image__1,axiom,
% 191.91/192.10 ! [V_f_2,V_S_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/192.10 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/192.10 => 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) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_finite__lessThan,axiom,
% 191.91/192.10 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_lessThan__0,axiom,
% 191.91/192.10 hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_lessThan__Suc,axiom,
% 191.91/192.10 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_lessThan__eq__iff,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.10 ( class_Orderings_Olinorder(T_b)
% 191.91/192.10 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 191.91/192.10 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_card__lessThan,axiom,
% 191.91/192.10 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_u_2)) = V_u_2 ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__timesf,axiom,
% 191.91/192.10 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__1,axiom,
% 191.91/192.10 ! [V_A_2,T_c,T_b] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_empty__fold__graphE,axiom,
% 191.91/192.10 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( 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))
% 191.91/192.10 => V_x_2 = V_z_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__graph_OemptyI,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__graph__imp__finite,axiom,
% 191.91/192.10 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 191.91/192.10 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 191.91/192.10 ! [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))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_lessThan__iff,axiom,
% 191.91/192.10 ! [V_k_2,V_i_2,T_b] :
% 191.91/192.10 ( class_Orderings_Oord(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_lessThan__subset__iff,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.10 ( class_Orderings_Olinorder(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__lessThan__Suc,axiom,
% 191.91/192.10 ! [V_n_2,V_f_2,T_b] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.10 => 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__zero,axiom,
% 191.91/192.10 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Rings_Ocomm__semiring__1(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( ? [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.10 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__zero__iff,axiom,
% 191.91/192.10 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 191.91/192.10 & class_Rings_Ono__zero__divisors(T_c) )
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Ozero__class_Ozero(T_c)
% 191.91/192.10 <=> ? [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.10 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__empty,axiom,
% 191.91/192.10 ! [V_f_2,T_c,T_b] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Oempty,axiom,
% 191.91/192.10 ! [V_g_2,T_c,T_b] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(T_b) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Oinfinite,axiom,
% 191.91/192.10 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__infinite,axiom,
% 191.91/192.10 ! [V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__eq__1__iff,axiom,
% 191.91/192.10 ! [V_f_2,V_F_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 191.91/192.10 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_F_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 191.91/192.10 <=> ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 191.91/192.10 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_lessThan__strict__subset__iff,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2,T_b] :
% 191.91/192.10 ( class_Orderings_Olinorder(T_b)
% 191.91/192.10 => ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Odistrib,axiom,
% 191.91/192.10 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__singleton__def,axiom,
% 191.91/192.10 ! [V_a_2,V_f_2,T_b,V_g_2] :
% 191.91/192.10 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 191.91/192.10 => 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 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__singleton,axiom,
% 191.91/192.10 ! [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 ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__graph_OinsertI,axiom,
% 191.91/192.10 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.91/192.10 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 191.91/192.10 => 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))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__pos__nat__iff,axiom,
% 191.91/192.10 ! [V_f_2,V_S_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2)))
% 191.91/192.10 <=> ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_single__Diff__lessThan,axiom,
% 191.91/192.10 ! [V_k_2,T_b] :
% 191.91/192.10 ( class_Orderings_Oorder(T_b)
% 191.91/192.10 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_folding__one_Oeq__fold,axiom,
% 191.91/192.10 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.91/192.10 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__delta,axiom,
% 191.91/192.10 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 191.91/192.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__delta_H,axiom,
% 191.91/192.10 ! [V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_a_2) )
% 191.91/192.10 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_a_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_finite__nat__set__iff__bounded,axiom,
% 191.91/192.10 ! [V_N_2] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 191.91/192.10 <=> ? [B_m] :
% 191.91/192.10 ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 191.91/192.10 ! [V_N_2] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 191.91/192.10 <=> ? [B_m] :
% 191.91/192.10 ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__insert,axiom,
% 191.91/192.10 ! [V_f_2,V_a_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_a_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Oinsert,axiom,
% 191.91/192.10 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Ounion__inter,axiom,
% 191.91/192.10 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__Un__Int,axiom,
% 191.91/192.10 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold__graph__insert__swap,axiom,
% 191.91/192.10 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 191.91/192.10 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.91/192.10 => ( 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))
% 191.91/192.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.91/192.10 => 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))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Sup__fin_OF__eq,axiom,
% 191.91/192.10 ! [V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Olattice(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Inf__fin_OF__eq,axiom,
% 191.91/192.10 ! [V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Olattice(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Oeq__fold,axiom,
% 191.91/192.10 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_OF__eq,axiom,
% 191.91/192.10 ! [V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2) )
% 191.91/192.10 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Oinsert__remove,axiom,
% 191.91/192.10 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Ounion__disjoint,axiom,
% 191.91/192.10 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__Un__disjoint,axiom,
% 191.91/192.10 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__belowI,axiom,
% 191.91/192.10 ! [V_a_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_below__fold1__iff,axiom,
% 191.91/192.10 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 191.91/192.10 <=> ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__insert__idem,axiom,
% 191.91/192.10 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.91/192.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => 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)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__Un2,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.10 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Diff1__fold__graph,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_y_2))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),hAPP(hAPP(V_f_2,V_x_2),V_y_2))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_semilattice__big_OF__eq,axiom,
% 191.91/192.10 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 191.91/192.10 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_coinduct3__mono__lemma,axiom,
% 191.91/192.10 ! [V_B_2,V_X_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( class_Orderings_Oorder(T_b)
% 191.91/192.10 => ( c_Orderings_Oorder__class_Omono(T_b,tc_fun(T_c,tc_HOL_Obool),V_f_2)
% 191.91/192.10 => 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)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1Set_Ointros,axiom,
% 191.91/192.10 ! [V_x_2,V_A_2,V_a_2,V_f_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_a_2,V_A_2),V_x_2))
% 191.91/192.10 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)),V_x_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_arith__series__general,axiom,
% 191.91/192.10 ! [V_n_2,V_d_2,V_a_2,T_b] :
% 191.91/192.10 ( class_Rings_Ocomm__semiring__1(T_b)
% 191.91/192.10 => 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)))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__in,axiom,
% 191.91/192.10 ! [V_A_2,T_b] :
% 191.91/192.10 ( class_Groups_Oab__semigroup__mult(T_b)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.10 => ( ! [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))))))
% 191.91/192.10 => 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)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 191.91/192.10 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.91/192.10 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setprod__Un__one,axiom,
% 191.91/192.10 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 191.91/192.10 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.10 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/192.10 => ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 191.91/192.10 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__setprod,axiom,
% 191.91/192.10 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__eq__iff,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2,T_b] :
% 191.91/192.10 ( class_Nat_Osemiring__char__0(T_b)
% 191.91/192.10 => ( 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)
% 191.91/192.10 <=> V_m_2 = V_n_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__le__0__conv,axiom,
% 191.91/192.10 ! [V_n_2] :
% 191.91/192.10 ( 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)))
% 191.91/192.10 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__eq__0__conv,axiom,
% 191.91/192.10 ! [V_n_2] :
% 191.91/192.10 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.10 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__0,axiom,
% 191.91/192.10 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) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zless__iff__Suc__zadd,axiom,
% 191.91/192.10 ! [V_z_2,V_w_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 191.91/192.10 <=> ? [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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__Suc,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zless__int,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2] :
% 191.91/192.10 ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__int__left,axiom,
% 191.91/192.10 ! [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) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__int,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__int,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2] :
% 191.91/192.10 ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__mult,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zmult__int,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__1,axiom,
% 191.91/192.10 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) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__setprod,axiom,
% 191.91/192.10 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/192.10 & class_Rings_Osemiring__1(T_b) )
% 191.91/192.10 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__setsum,axiom,
% 191.91/192.10 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__Suc0__eq__1,axiom,
% 191.91/192.10 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) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zero__less__int__conv,axiom,
% 191.91/192.10 ! [V_n_2] :
% 191.91/192.10 ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zmult__zless__mono2__lemma,axiom,
% 191.91/192.10 ! [V_k,V_j,V_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.91/192.10 => 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))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__0__le__iff,axiom,
% 191.91/192.10 ! [V_n,T_a] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.10 => 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zero__le__imp__of__nat,axiom,
% 191.91/192.10 ! [V_m,T_a] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.10 => 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zdiff__int,axiom,
% 191.91/192.10 ! [V_m,V_n] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.10 => 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__less__0__iff,axiom,
% 191.91/192.10 ! [V_m,T_a] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.10 => ~ 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_empty__fold1SetE,axiom,
% 191.91/192.10 ! [V_x_2,V_f_2,T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_x_2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1Set__nonempty,axiom,
% 191.91/192.10 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 191.91/192.10 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__0,axiom,
% 191.91/192.10 ! [T_a] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.10 => 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) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__less__imp__less,axiom,
% 191.91/192.10 ! [V_n,V_m,T_a] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.10 => ( 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)))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_less__imp__of__nat__less,axiom,
% 191.91/192.10 ! [V_n,V_m,T_a] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.10 => 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))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__less__iff,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2,T_b] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/192.10 => ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__le__iff,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2,T_b] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/192.10 => ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__add,axiom,
% 191.91/192.10 ! [V_n,V_m,T_a] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.10 => 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__mult,axiom,
% 191.91/192.10 ! [V_n,V_m,T_a] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.10 => 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__1,axiom,
% 191.91/192.10 ! [T_a] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.10 => 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) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Ints__of__nat,axiom,
% 191.91/192.10 ! [V_n_2,T_b] :
% 191.91/192.10 ( class_Rings_Oring__1(T_b)
% 191.91/192.10 => 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__in__Nats,axiom,
% 191.91/192.10 ! [V_n_2,T_b] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.10 => 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__setsum,axiom,
% 191.91/192.10 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.10 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__Suc,axiom,
% 191.91/192.10 ! [V_m,T_a] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.10 => 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__diff,axiom,
% 191.91/192.10 ! [V_m,V_n,T_a] :
% 191.91/192.10 ( class_Rings_Oring__1(T_a)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.10 => 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)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__constant,axiom,
% 191.91/192.10 ! [V_A_2,V_y_2,T_c,T_b] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.10 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_y_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Finite__Set_Ocard(T_c),V_A_2))),V_y_2) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1Set__sing,axiom,
% 191.91/192.10 ! [V_b_2,V_a_2,V_f_2,T_b] :
% 191.91/192.10 ( 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))
% 191.91/192.10 <=> V_a_2 = V_b_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__0__less__iff,axiom,
% 191.91/192.10 ! [V_n_2,T_b] :
% 191.91/192.10 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/192.10 => ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_fold1__def,axiom,
% 191.91/192.10 ! [V_A_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) = c_HOL_OThe(T_b,c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 191.91/192.10 ! [V_n_2,T_b] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.10 => 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zdiff__int__split,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2,V_Pa_2] :
% 191.91/192.10 ( 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))))
% 191.91/192.10 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 191.91/192.10 => 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)))) )
% 191.91/192.10 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.91/192.10 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_setsum__bounded,axiom,
% 191.91/192.10 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.10 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 191.91/192.10 & class_Rings_Osemiring__1(T_c) )
% 191.91/192.10 => ( ! [B_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_c),hAPP(c_Finite__Set_Ocard(T_b),V_A_2))),V_K_2))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 191.91/192.10 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanAtMost(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 191.91/192.10 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 191.91/192.10 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastLessThan(T_b,V_less__eq_2,V_less_2,V_l_2,V_u_2)))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 191.91/192.10 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 191.91/192.10 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThanLessThan(T_b,V_less_2,V_l_2,V_u_2)))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 191.91/192.10 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 191.91/192.10 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeastAtMost(T_b,V_less__eq_2,V_l_2,V_u_2)))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 191.91/192.10 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__iff__zadd,axiom,
% 191.91/192.10 ! [V_z_2,V_w_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 191.91/192.10 <=> ? [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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zero__zle__int,axiom,
% 191.91/192.10 ! [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))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__less__0__conv,axiom,
% 191.91/192.10 ! [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))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__int__eq,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2] :
% 191.91/192.10 ( 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)
% 191.91/192.10 <=> V_m_2 = V_n_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zmult__1,axiom,
% 191.91/192.10 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zmult__1__right,axiom,
% 191.91/192.10 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__zmult__distrib2,axiom,
% 191.91/192.10 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__zmult__distrib,axiom,
% 191.91/192.10 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zmult__commute,axiom,
% 191.91/192.10 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zmult__assoc,axiom,
% 191.91/192.10 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_z3)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zdiff__zmult__distrib,axiom,
% 191.91/192.10 ! [V_w,V_z2,V_z1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)),V_w) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z1),V_w)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z2),V_w)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zdiff__zmult__distrib2,axiom,
% 191.91/192.10 ! [V_z2,V_z1,V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z1),V_z2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z2)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_odd__nonzero,axiom,
% 191.91/192.10 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)),V_z) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__0__neq__1,axiom,
% 191.91/192.10 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__0,axiom,
% 191.91/192.10 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__0__right,axiom,
% 191.91/192.10 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__commute,axiom,
% 191.91/192.10 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__left__commute,axiom,
% 191.91/192.10 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_y),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_z)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__assoc,axiom,
% 191.91/192.10 ! [V_z3,V_z2,V_z1] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),V_z2)),V_z3) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z1),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z2),V_z3)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_less__bin__lemma,axiom,
% 191.91/192.10 ! [V_l_2,V_k_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k_2),V_l_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_odd__less__0,axiom,
% 191.91/192.10 ! [V_z_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)),V_z_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zless__add1__eq,axiom,
% 191.91/192.10 ! [V_z_2,V_w_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 191.91/192.10 | V_w_2 = V_z_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__strict__right__mono,axiom,
% 191.91/192.10 ! [V_k,V_j,V_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),V_k)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_j),V_k))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__0__less__1,axiom,
% 191.91/192.10 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zless__linear,axiom,
% 191.91/192.10 ! [V_y,V_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 191.91/192.10 | V_x = V_y
% 191.91/192.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__antisym,axiom,
% 191.91/192.10 ! [V_w,V_z] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 191.91/192.10 => V_z = V_w ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__trans,axiom,
% 191.91/192.10 ! [V_k,V_j,V_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__linear,axiom,
% 191.91/192.10 ! [V_w,V_z] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 191.91/192.10 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__refl,axiom,
% 191.91/192.10 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__left__mono,axiom,
% 191.91/192.10 ! [V_k,V_j,V_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_j))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zless__le,axiom,
% 191.91/192.10 ! [V_w_2,V_z_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 191.91/192.10 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 191.91/192.10 & V_z_2 != V_w_2 ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zmult__zless__mono2,axiom,
% 191.91/192.10 ! [V_k,V_j,V_i] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_i)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_j))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_pos__zmult__eq__1__iff,axiom,
% 191.91/192.10 ! [V_n_2,V_m_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 191.91/192.10 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.91/192.10 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.91/192.10 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_int__one__le__iff__zero__less,axiom,
% 191.91/192.10 ! [V_z_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zadd__zless__mono,axiom,
% 191.91/192.10 ! [V_z,V_z_H,V_w,V_w_H] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_H),V_z_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zless__imp__add1__zle,axiom,
% 191.91/192.10 ! [V_z,V_w] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_add1__zle__eq,axiom,
% 191.91/192.10 ! [V_z_2,V_w_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_z_2))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__add1__eq__le,axiom,
% 191.91/192.10 ! [V_z_2,V_w_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_le__imp__0__less,axiom,
% 191.91/192.10 ! [V_z] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zle__diff1__eq,axiom,
% 191.91/192.10 ! [V_z_2,V_w_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 191.91/192.10 ! [V_i_2,V_inc_2,T_b] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.10 => c_Nat_Osemiring__1__class_Oof__nat__aux(T_b,V_inc_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2) = V_i_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 191.91/192.10 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 191.91/192.10 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.10 => 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)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_self__quotient__aux2,axiom,
% 191.91/192.10 ! [V_q,V_r,V_a] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.10 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_self__quotient__aux1,axiom,
% 191.91/192.10 ! [V_q,V_r,V_a] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.10 => ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_r),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_q__pos__lemma,axiom,
% 191.91/192.10 ! [V_r_H,V_q_H,V_b_H] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_q__neg__lemma,axiom,
% 191.91/192.10 ! [V_r_H,V_q_H,V_b_H] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_unique__quotient__lemma,axiom,
% 191.91/192.10 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zdiv__mono2__lemma,axiom,
% 191.91/192.10 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 191.91/192.10 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_unique__quotient__lemma__neg,axiom,
% 191.91/192.10 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q_H)),V_r_H)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 191.91/192.10 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 191.91/192.10 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_H),V_q_H)),V_r_H)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 191.91/192.10 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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2] :
% 191.91/192.10 ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2] :
% 191.91/192.10 ( 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)))
% 191.91/192.10 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 191.91/192.10 ! [V_y,V_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 191.91/192.10 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 <=> 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.10 <=> 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 191.91/192.10 ! [V_y_2,V_x_2] :
% 191.91/192.10 ( 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)
% 191.91/192.10 <=> V_x_2 = V_y_2 ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 191.91/192.10 ! [V_A_2,V_x_2] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 191.91/192.10 <=> 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 191.91/192.10 ! [V_B_2,V_A_2] :
% 191.91/192.10 ( V_A_2 = V_B_2
% 191.91/192.10 <=> hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 191.91/192.10 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 191.91/192.10 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))) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 191.91/192.10 ! [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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 191.91/192.10 ! [V_A_2] :
% 191.91/192.10 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 191.91/192.10 <=> 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))) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 191.91/192.10 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)) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 191.91/192.10 ! [V_y,V_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.10 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.10 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y))) ) ) ).
% 191.91/192.10
% 191.91/192.10 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 191.91/192.10 ! [V_Pa_2] :
% 191.91/192.10 ( ! [B_x] :
% 191.91/192.10 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/192.11 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 191.91/192.11 ! [V_Pa_2] :
% 191.91/192.11 ( ? [B_x] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/192.11 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/192.11 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 191.91/192.11 ! [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))) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ord_OatMost__iff,axiom,
% 191.91/192.11 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ord_OatLeast__iff,axiom,
% 191.91/192.11 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ord_OlessThan__iff,axiom,
% 191.91/192.11 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ord_OgreaterThan__iff,axiom,
% 191.91/192.11 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setprod__gen__delta,axiom,
% 191.91/192.11 ! [V_c_2,V_b_2,V_a_2,V_S_2,T_b,T_c] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_a_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_S_2))
% 191.91/192.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_b_2)),V_c_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_c_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_tsub__def,axiom,
% 191.91/192.11 ! [V_x,V_y] :
% 191.91/192.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 191.91/192.11 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 191.91/192.11 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 191.91/192.11 ! [V_x_2,V_y_2,V_c_2] :
% 191.91/192.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 191.91/192.11 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_c_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_c_2)) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_c_2),V_y_2))
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.91/192.11 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 191.91/192.11 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_c_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_finite__atLeastLessThan,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2))) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 191.91/192.11 ! [V_n,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x),V_n)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zpower__int,axiom,
% 191.91/192.11 ! [V_n,V_m] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_int__power,axiom,
% 191.91/192.11 ! [V_n,V_m] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)),V_n) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 191.91/192.11 ! [V_q,V_y,V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_y)),V_q) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),V_q)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 191.91/192.11 ! [V_q,V_p,V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),V_q) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),V_q)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zpower__zpower,axiom,
% 191.91/192.11 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),V_z) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y),V_z)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 191.91/192.11 ! [V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__eq__iff,axiom,
% 191.91/192.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.91/192.11 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 191.91/192.11 <=> ( V_a_2 = V_c_2
% 191.91/192.11 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 191.91/192.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.91/192.11 => V_a_2 = V_c_2 ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 191.91/192.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_d_2))
% 191.91/192.11 => V_b_2 = V_d_2 ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 191.91/192.11 ! [V_q,V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 191.91/192.11 ! [V_q,V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 191.91/192.11 ! [V_q,V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,V_q)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 191.91/192.11 ! [V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 191.91/192.11 ! [V_q,V_p,V_x,T_a] :
% 191.91/192.11 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_p)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_q)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_p),V_q)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__add__Un,axiom,
% 191.91/192.11 ! [V_k_2,V_j_2,V_i_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 191.91/192.11 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_j_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2))) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 191.91/192.11 ! [V_n,V_x] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n))) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zpower__zadd__distrib,axiom,
% 191.91/192.11 ! [V_z,V_y,V_x] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_z)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan0,axiom,
% 191.91/192.11 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Ints__power,axiom,
% 191.91/192.11 ! [V_n_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Rings_Oring__1(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.91/192.11 => 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))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeast0LessThan,axiom,
% 191.91/192.11 ! [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) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_subset__card__intvl__is__intvl,axiom,
% 191.91/192.11 ! [V_k_2,V_A_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2)))))
% 191.91/192.11 => V_A_2 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),V_A_2))) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_card__atLeastLessThan,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_image__Suc__atLeastLessThan,axiom,
% 191.91/192.11 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2)),hAPP(c_Nat_OSuc,V_j_2)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__empty,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2,T_b] :
% 191.91/192.11 ( class_Orderings_Oorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 191.91/192.11 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__empty__iff,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Orderings_Oorder(T_b)
% 191.91/192.11 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.11 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Orderings_Oorder(T_b)
% 191.91/192.11 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)
% 191.91/192.11 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__subset__iff,axiom,
% 191.91/192.11 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_a_2))
% 191.91/192.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 191.91/192.11 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.11 => 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)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__disj__un_I17_J,axiom,
% 191.91/192.11 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/192.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 191.91/192.11 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.11 => 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)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__diff,axiom,
% 191.91/192.11 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 191.91/192.11 => 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) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__disj__int_I11_J,axiom,
% 191.91/192.11 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Oorder(T_b)
% 191.91/192.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_image__add__atLeastLessThan,axiom,
% 191.91/192.11 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__add__nat__ivl,axiom,
% 191.91/192.11 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 191.91/192.11 => 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__diff__nat__ivl,axiom,
% 191.91/192.11 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 191.91/192.11 ( class_Groups_Oab__group__add(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 191.91/192.11 => 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThan__singleton,axiom,
% 191.91/192.11 ! [V_m_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),hAPP(c_Nat_OSuc,V_m_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_m_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setprod__constant,axiom,
% 191.91/192.11 ! [V_y_2,V_A_2,T_b,T_c] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__disj__un_I8_J,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__disj__int_I2_J,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Oorder(T_b)
% 191.91/192.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 191.91/192.11 ! [V_k_2,V_f_2,T_b] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.11 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__head__upt__Suc,axiom,
% 191.91/192.11 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.11 => 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))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__eq__if,axiom,
% 191.91/192.11 ! [V_p,V_m] :
% 191.91/192.11 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 191.91/192.11 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_p),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastLessThanSuc,axiom,
% 191.91/192.11 ! [V_n_2,V_m_2] :
% 191.91/192.11 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.11 => 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)) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.11 => 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)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__op__ivl__Suc,axiom,
% 191.91/192.11 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 191.91/192.11 => 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) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 191.91/192.11 => 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 191.91/192.11 ! [V_y,V_x] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Nat__Transfer_Otsub(V_x,V_y))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_tsub__eq,axiom,
% 191.91/192.11 ! [V_x,V_y] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 191.91/192.11 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 191.91/192.11 ! [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)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__strict__mono,axiom,
% 191.91/192.11 ! [V_n,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_one__less__power,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__increasing__iff,axiom,
% 191.91/192.11 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__le__imp__le__exp,axiom,
% 191.91/192.11 ! [V_n,V_m,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__decreasing,axiom,
% 191.91/192.11 ! [V_a,V_N,V_n,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__strict__decreasing,axiom,
% 191.91/192.11 ! [V_a,V_N,V_n,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__Suc__less__one,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_finite__atLeastLessThan__int,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2))) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 191.91/192.11 ! [V_u_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_image__add__int__atLeastLessThan,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hAPP(c_Set_Oimage(tc_Int_Oint,tc_Int_Oint,hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),V_l_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_field__power__not__zero,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 191.91/192.11 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 191.91/192.11 ! [V_m_2,V_x_2] :
% 191.91/192.11 ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_m_2) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/192.11 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__Suc__0,axiom,
% 191.91/192.11 ! [V_n] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_n) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nat__power__less__imp__less,axiom,
% 191.91/192.11 ! [V_n,V_m,V_i] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nat__zero__less__power__iff,axiom,
% 191.91/192.11 ! [V_n_2,V_x_2] :
% 191.91/192.11 ( 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)))
% 191.91/192.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 191.91/192.11 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__commutes,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__mult__distrib,axiom,
% 191.91/192.11 ! [V_n,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Groups_Ocomm__monoid__mult(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__one,axiom,
% 191.91/192.11 ! [V_n,T_a] :
% 191.91/192.11 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_of__nat__power,axiom,
% 191.91/192.11 ! [V_n,V_m,T_a] :
% 191.91/192.11 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.11 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__mult,axiom,
% 191.91/192.11 ! [V_n,V_m,V_a,T_a] :
% 191.91/192.11 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),V_n) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__one__right,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__mono,axiom,
% 191.91/192.11 ! [V_n,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zero__le__power,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zero__less__power,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__eq__0__iff,axiom,
% 191.91/192.11 ! [V_n_2,V_a_2,T_b] :
% 191.91/192.11 ( ( class_Power_Opower(T_b)
% 191.91/192.11 & class_Rings_Omult__zero(T_b)
% 191.91/192.11 & class_Rings_Ono__zero__divisors(T_b)
% 191.91/192.11 & class_Rings_Ozero__neq__one(T_b) )
% 191.91/192.11 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 <=> ( V_a_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_one__le__power,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__0__Suc,axiom,
% 191.91/192.11 ! [V_n,T_a] :
% 191.91/192.11 ( ( class_Power_Opower(T_a)
% 191.91/192.11 & class_Rings_Osemiring__0(T_a) )
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Nat_OSuc,V_n)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__inject__exp,axiom,
% 191.91/192.11 ! [V_n_2,V_m_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_a_2))
% 191.91/192.11 => ( 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)
% 191.91/192.11 <=> V_m_2 = V_n_2 ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__Suc2,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),V_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__Suc,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Power_Opower(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nat__one__le__power,axiom,
% 191.91/192.11 ! [V_n,V_i] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__0,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Power_Opower(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__add,axiom,
% 191.91/192.11 ! [V_n,V_m,V_a,T_a] :
% 191.91/192.11 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__less__imp__less__base,axiom,
% 191.91/192.11 ! [V_b,V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__inject__base,axiom,
% 191.91/192.11 ! [V_b,V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.11 => V_a = V_b ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__le__imp__le__base,axiom,
% 191.91/192.11 ! [V_b,V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__less__power__Suc,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__gt1__lemma,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__0__left,axiom,
% 191.91/192.11 ! [V_n,T_a] :
% 191.91/192.11 ( ( class_Power_Opower(T_a)
% 191.91/192.11 & class_Rings_Osemiring__0(T_a) )
% 191.91/192.11 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 191.91/192.11 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__gt1,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__strict__increasing,axiom,
% 191.91/192.11 ! [V_a,V_N,V_n,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__less__imp__less__exp,axiom,
% 191.91/192.11 ! [V_n,V_m,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__strict__increasing__iff,axiom,
% 191.91/192.11 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__increasing,axiom,
% 191.91/192.11 ! [V_a,V_N,V_n,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__Suc__less,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__eq__imp__eq__base,axiom,
% 191.91/192.11 ! [V_b,V_n,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.11 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => V_a = V_b ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_all__nat__less__eq,axiom,
% 191.91/192.11 ! [V_Pa_2,V_n_2] :
% 191.91/192.11 ( ! [B_m] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/192.11 <=> ! [B_x] :
% 191.91/192.11 ( 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)))
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ex__nat__less__eq,axiom,
% 191.91/192.11 ! [V_Pa_2,V_n_2] :
% 191.91/192.11 ( ? [B_m] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 191.91/192.11 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/192.11 <=> ? [B_x] :
% 191.91/192.11 ( 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)))
% 191.91/192.11 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__power__power,axiom,
% 191.91/192.11 ! [T_b] :
% 191.91/192.11 ( class_Power_Opower(T_b)
% 191.91/192.11 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__disj__un_I3_J,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/192.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_int__power__div__base,axiom,
% 191.91/192.11 ! [V_k,V_m] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setprod__diff1,axiom,
% 191.91/192.11 ! [V_a_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.11 ( class_Fields_Ofield(T_c)
% 191.91/192.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.11 => ( hAPP(V_f_2,V_a_2) != c_Groups_Ozero__class_Ozero(T_c)
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(V_f_2,V_a_2)) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_finite__greaterThanLessThan,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_finite__greaterThanLessThan__int,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2))) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__zero,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__zero__left,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_add__divide__distrib,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_times__divide__eq__right,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_c) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_diff__divide__distrib,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__1,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__zero,axiom,
% 191.91/192.11 ! [V_b] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__divide,axiom,
% 191.91/192.11 ! [V_n,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__0,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__by__0,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__by__1,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setsum__divide__distrib,axiom,
% 191.91/192.11 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.11 ( class_Fields_Ofield(T_b)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_eq__divide__imp,axiom,
% 191.91/192.11 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 191.91/192.11 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__eq__imp,axiom,
% 191.91/192.11 ! [V_a,V_b,V_c,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nonzero__divide__eq__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_b)
% 191.91/192.11 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 191.91/192.11 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nonzero__eq__divide__eq,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_b)
% 191.91/192.11 => ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 191.91/192.11 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__self__if,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 191.91/192.11 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 191.91/192.11 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__self,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.11 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_right__inverse__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2,T_b] :
% 191.91/192.11 ( class_Rings_Odivision__ring(T_b)
% 191.91/192.11 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 191.91/192.11 <=> V_a_2 = V_b_2 ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nonzero__power__divide,axiom,
% 191.91/192.11 ! [V_n,V_a,V_b,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b)),V_n) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 191.91/192.11 ! [V_y,V_x] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__neg__pos__less0,axiom,
% 191.91/192.11 ! [V_b,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__one__over,axiom,
% 191.91/192.11 ! [V_n,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),c_Groups_Oone__class_Oone(T_a)),V_a)),V_n) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__self,axiom,
% 191.91/192.11 ! [V_a] :
% 191.91/192.11 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__mult1__if,axiom,
% 191.91/192.11 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = c_Groups_Ozero__class_Ozero(T_a) )
% 191.91/192.11 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__self2__is__id,axiom,
% 191.91/192.11 ! [V_a,V_b,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)),V_b) = V_a ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__self1__is__id,axiom,
% 191.91/192.11 ! [V_a,V_b,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_a)),V_b) = V_a ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__mult2,axiom,
% 191.91/192.11 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__mult1,axiom,
% 191.91/192.11 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__self,axiom,
% 191.91/192.11 ! [V_a,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_setprod__dividef,axiom,
% 191.91/192.11 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_c)
% 191.91/192.11 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.11 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_greaterThanLessThan__empty,axiom,
% 191.91/192.11 ! [V_k_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Oorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 191.91/192.11 => c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__mono1__neg,axiom,
% 191.91/192.11 ! [V_b,V_a_H,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__mono1,axiom,
% 191.91/192.11 ! [V_b,V_a_H,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_H),V_b))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__neg__neg__trivial,axiom,
% 191.91/192.11 ! [V_b,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__mono2__neg,axiom,
% 191.91/192.11 ! [V_b,V_b_H,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__nonpos__pos__le0,axiom,
% 191.91/192.11 ! [V_b,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__pos__pos__trivial,axiom,
% 191.91/192.11 ! [V_b,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__nonneg__neg__le0,axiom,
% 191.91/192.11 ! [V_b,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__mono2,axiom,
% 191.91/192.11 ! [V_b,V_b_H,V_a] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b_H))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.11 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_a_2))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 191.91/192.11 ! [V_i_2,V_k_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.11 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__eq__0__iff,axiom,
% 191.91/192.11 ! [V_k_2,V_i_2] :
% 191.91/192.11 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.11 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 191.91/192.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_int__div__less__self,axiom,
% 191.91/192.11 ! [V_k,V_x] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_k)),V_x)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__zmult2__eq,axiom,
% 191.91/192.11 ! [V_b,V_a,V_c] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_c) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power_Opower_Opower__0,axiom,
% 191.91/192.11 ! [V_a_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_a_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power_Opower_Opower__Suc,axiom,
% 191.91/192.11 ! [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)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__self2,axiom,
% 191.91/192.11 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__self1,axiom,
% 191.91/192.11 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b))),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__add__self2,axiom,
% 191.91/192.11 ! [V_a,V_b,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__add__self1,axiom,
% 191.91/192.11 ! [V_a,V_b,T_a] :
% 191.91/192.11 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.11 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a)),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_power__diff,axiom,
% 191.91/192.11 ! [V_m,V_n,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.11 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__disj__int_I9_J,axiom,
% 191.91/192.11 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Oorder(T_b)
% 191.91/192.11 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_card__greaterThanLessThan,axiom,
% 191.91/192.11 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),hAPP(c_Nat_OSuc,V_l_2)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divmod__int__rel__div__eq,axiom,
% 191.91/192.11 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 191.91/192.11 ( V_a_1 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_1),V_y)),V_r_1)
% 191.91/192.11 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.91/192.11 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_split__zdiv,axiom,
% 191.91/192.11 ! [V_k_2,V_n_2,V_Pa_2] :
% 191.91/192.11 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 191.91/192.11 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.11 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/192.11 => ! [B_i] :
% 191.91/192.11 ( ? [B_j] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.91/192.11 & 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) )
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 191.91/192.11 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 => ! [B_i] :
% 191.91/192.11 ( ? [B_j] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.11 & 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) )
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_ivl__disj__un_I15_J,axiom,
% 191.91/192.11 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.11 ( class_Orderings_Olinorder(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/192.11 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_m_2),V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_geometric__sum,axiom,
% 191.91/192.11 ! [V_n_2,V_x_2,T_b] :
% 191.91/192.11 ( class_Fields_Ofield(T_b)
% 191.91/192.11 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 191.91/192.11 => 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))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_le__divide__eq,axiom,
% 191.91/192.11 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( 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)))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => 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)) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => 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))) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__le__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( 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))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => 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))) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => 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)) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_pos__le__divide__eq,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( 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)))
% 191.91/192.11 <=> 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_pos__divide__le__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( 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))
% 191.91/192.11 <=> 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))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_mult__imp__div__pos__le,axiom,
% 191.91/192.11 ! [V_z,V_x,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_mult__imp__le__div__pos,axiom,
% 191.91/192.11 ! [V_x,V_z,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => ( 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))
% 191.91/192.11 => 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))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__le__mono,axiom,
% 191.91/192.11 ! [V_k,V_n,V_m] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__le__dividend,axiom,
% 191.91/192.11 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult2__eq,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__1,axiom,
% 191.91/192.11 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__less,axiom,
% 191.91/192.11 ! [V_n,V_m] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nat__mult__div__cancel__disj,axiom,
% 191.91/192.11 ! [V_n,V_m,V_k] :
% 191.91/192.11 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.11 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zdiv__int,axiom,
% 191.91/192.11 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 191.91/192.11 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__le__mono2,axiom,
% 191.91/192.11 ! [V_k,V_n,V_m] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_nat__mult__div__cancel1,axiom,
% 191.91/192.11 ! [V_n,V_m,V_k] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__self1__is__m,axiom,
% 191.91/192.11 ! [V_m,V_n] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__mult__self__is__m,axiom,
% 191.91/192.11 ! [V_m,V_n] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__less__dividend,axiom,
% 191.91/192.11 ! [V_m,V_n] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__if,axiom,
% 191.91/192.11 ! [V_m,V_n] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_div__geq,axiom,
% 191.91/192.11 ! [V_m,V_n] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_split__div,axiom,
% 191.91/192.11 ! [V_k_2,V_n_2,V_Pa_2] :
% 191.91/192.11 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 191.91/192.11 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.91/192.11 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 => ! [B_i,B_j] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 191.91/192.11 => ( 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)
% 191.91/192.11 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_le__div__geq,axiom,
% 191.91/192.11 ! [V_m,V_n] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.11 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_split__div__lemma,axiom,
% 191.91/192.11 ! [V_m_2,V_q_2,V_n_2] :
% 191.91/192.11 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 191.91/192.11 => ( ( 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))
% 191.91/192.11 & 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)))) )
% 191.91/192.11 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_split__div_H,axiom,
% 191.91/192.11 ! [V_n_2,V_m_2,V_Pa_2] :
% 191.91/192.11 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 191.91/192.11 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.11 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 191.91/192.11 | ? [B_q] :
% 191.91/192.11 ( 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))
% 191.91/192.11 & 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))))
% 191.91/192.11 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_times__divide__times__eq,axiom,
% 191.91/192.11 ! [V_w,V_z,V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_z),V_w)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_y),V_w)) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__right__mono__neg,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__right__mono,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__le__0__iff,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 191.91/192.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zero__le__divide__iff,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 191.91/192.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__strict__right__mono__neg,axiom,
% 191.91/192.11 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__strict__right__mono,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_c)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__neg__neg,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__neg__pos,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__pos__neg,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__pos__pos,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__less__0__iff,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 191.91/192.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_zero__less__divide__iff,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_a_2),V_b_2)))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 191.91/192.11 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_frac__eq__eq,axiom,
% 191.91/192.11 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 191.91/192.11 ( class_Fields_Ofield(T_b)
% 191.91/192.11 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_x_2),V_y_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_w_2),V_z_2)
% 191.91/192.11 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_z_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_w_2),V_y_2) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_mult__divide__mult__cancel__left,axiom,
% 191.91/192.11 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.11 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_c),V_b)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_mult__divide__mult__cancel__right,axiom,
% 191.91/192.11 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.11 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),V_c)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_b) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__eq__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_b)
% 191.91/192.11 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = V_a_2
% 191.91/192.11 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) )
% 191.91/192.11 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_eq__divide__eq,axiom,
% 191.91/192.11 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_b)
% 191.91/192.11 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 191.91/192.11 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),V_c_2) = V_b_2 )
% 191.91/192.11 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.11 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__nonpos__neg,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__nonpos__pos,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_frac__le,axiom,
% 191.91/192.11 ! [V_z,V_w,V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_frac__less,axiom,
% 191.91/192.11 ! [V_z,V_w,V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_frac__less2,axiom,
% 191.91/192.11 ! [V_z,V_w,V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_z)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_y),V_w))) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__nonneg__neg,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),c_Groups_Ozero__class_Ozero(T_a))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__nonneg__pos,axiom,
% 191.91/192.11 ! [V_y,V_x,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__strict__left__mono__neg,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => ( 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)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__strict__left__mono,axiom,
% 191.91/192.11 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.11 => ( 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)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_c),V_b))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_neg__divide__less__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 191.91/192.11 <=> 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_neg__less__divide__eq,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => ( 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)))
% 191.91/192.11 <=> 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))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_mult__imp__less__div__pos,axiom,
% 191.91/192.11 ! [V_x,V_z,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)),V_x))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_mult__imp__div__pos__less,axiom,
% 191.91/192.11 ! [V_z,V_x,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_z),V_y)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_x),V_y)),V_z)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_pos__divide__less__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 191.91/192.11 <=> 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))) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_pos__less__divide__eq,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( 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)))
% 191.91/192.11 <=> 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__less__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_c_2,V_b_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),V_a_2))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => 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))) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => 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)) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_less__divide__eq,axiom,
% 191.91/192.11 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.11 => ( 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)))
% 191.91/192.11 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => 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)) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.11 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => 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))) )
% 191.91/192.11 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_add__frac__eq,axiom,
% 191.91/192.11 ! [V_w,V_x,V_z,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__add__eq__iff,axiom,
% 191.91/192.11 ! [V_y,V_x,V_z,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_add__frac__num,axiom,
% 191.91/192.11 ! [V_z,V_x,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.11 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_add__divide__eq__iff,axiom,
% 191.91/192.11 ! [V_y,V_x,V_z,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_add__num__frac,axiom,
% 191.91/192.11 ! [V_x,V_z,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.11 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_diff__frac__eq,axiom,
% 191.91/192.11 ! [V_w,V_x,V_z,V_y,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__diff__eq__iff,axiom,
% 191.91/192.11 ! [V_y,V_x,V_z,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_diff__divide__eq__iff,axiom,
% 191.91/192.11 ! [V_y,V_x,V_z,T_a] :
% 191.91/192.11 ( class_Fields_Ofield(T_a)
% 191.91/192.11 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.11 => 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) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_gt__half__sum,axiom,
% 191.91/192.11 ! [V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.11 => 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)) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_less__half__sum,axiom,
% 191.91/192.11 ! [V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 191.91/192.11 => 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))))) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__left__mono__neg,axiom,
% 191.91/192.11 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.11 => ( 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)))
% 191.91/192.11 => 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))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_divide__left__mono,axiom,
% 191.91/192.11 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 191.91/192.11 => ( 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)))
% 191.91/192.11 => 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))) ) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_neg__divide__le__eq,axiom,
% 191.91/192.11 ! [V_a_2,V_b_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => ( 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))
% 191.91/192.11 <=> 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)) ) ) ) ).
% 191.91/192.11
% 191.91/192.11 fof(fact_neg__le__divide__eq,axiom,
% 191.91/192.11 ! [V_b_2,V_a_2,V_c_2,T_b] :
% 191.91/192.11 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.11 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.11 => ( 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)))
% 191.91/192.12 <=> 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))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setprod__Un,axiom,
% 191.91/192.12 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.12 ( class_Fields_Ofield(T_c)
% 191.91/192.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.12 => ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.91/192.12 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I4_J,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 191.91/192.12 ! [V_u_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 191.91/192.12 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Int_Onat,V_u_2))) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_sum__diff__distrib,axiom,
% 191.91/192.12 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 191.91/192.12 ( ! [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)))
% 191.91/192.12 => 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)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__natinterval__difff,axiom,
% 191.91/192.12 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 191.91/192.12 ( class_Groups_Oab__group__add(T_b)
% 191.91/192.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.12 => 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)))) )
% 191.91/192.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.12 => 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) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_gauss__sum,axiom,
% 191.91/192.12 ! [V_n_2,T_b] :
% 191.91/192.12 ( class_Rings_Ocomm__semiring__1(T_b)
% 191.91/192.12 => 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))) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_finite__greaterThanAtMost,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_finite__greaterThanAtMost__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_finite__atLeastAtMost,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_l_2),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__int,axiom,
% 191.91/192.12 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I22_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__int_I16_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_card__greaterThanAtMost__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__head,axiom,
% 191.91/192.12 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 191.91/192.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.12 => 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))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__0,axiom,
% 191.91/192.12 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 191.91/192.12 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_eq__nat__nat__iff,axiom,
% 191.91/192.12 ! [V_z_H_2,V_z_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 191.91/192.12 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 191.91/192.12 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 191.91/192.12 ! [V_y_2,V_x_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.91/192.12 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 191.91/192.12 <=> V_x_2 = V_y_2 ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_all__nat,axiom,
% 191.91/192.12 ! [V_Pa_2] :
% 191.91/192.12 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/192.12 <=> ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/192.12 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ex__nat,axiom,
% 191.91/192.12 ! [V_Pa_2] :
% 191.91/192.12 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/192.12 <=> ? [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/192.12 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ex__nat__less,axiom,
% 191.91/192.12 ! [V_Pa_2,V_n_2] :
% 191.91/192.12 ( ? [B_m] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 191.91/192.12 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/192.12 <=> ? [B_x] :
% 191.91/192.12 ( 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)))
% 191.91/192.12 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_all__nat__less,axiom,
% 191.91/192.12 ! [V_Pa_2,V_n_2] :
% 191.91/192.12 ( ! [B_m] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 191.91/192.12 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 191.91/192.12 <=> ! [B_x] :
% 191.91/192.12 ( 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)))
% 191.91/192.12 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 191.91/192.12 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_l_2),hAPP(c_Nat_OSuc,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 191.91/192.12 ! [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 ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I5_J,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastatMost__empty__iff2,axiom,
% 191.91/192.12 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)
% 191.91/192.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastatMost__empty__iff,axiom,
% 191.91/192.12 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastatMost__empty,axiom,
% 191.91/192.12 ! [V_a_2,V_b_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_a_2))
% 191.91/192.12 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastatMost__subset__iff,axiom,
% 191.91/192.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 191.91/192.12 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.91/192.12 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.91/192.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastAtMost__singleton,axiom,
% 191.91/192.12 ! [V_a_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_a_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 191.91/192.12 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_c_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.12 <=> ( V_a_2 = V_b_2
% 191.91/192.12 & V_b_2 = V_c_2 ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastAtMost__singleton_H,axiom,
% 191.91/192.12 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( V_a_2 = V_b_2
% 191.91/192.12 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I19_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_image__Suc__atLeastAtMost,axiom,
% 191.91/192.12 ! [V_j_2,V_i_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_i_2),hAPP(c_Nat_OSuc,V_j_2)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 191.91/192.12 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 191.91/192.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 => 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)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 191.91/192.12 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 191.91/192.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 => 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)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 191.91/192.12 ! [V_A_2,V_f_2,T_b] :
% 191.91/192.12 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_greaterThanAtMost__empty,axiom,
% 191.91/192.12 ! [V_k_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 191.91/192.12 => c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 191.91/192.12 ! [V_l_2,V_k_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 191.91/192.12 ! [V_l_2,V_k_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_k_2,V_l_2)
% 191.91/192.12 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I20_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 191.91/192.12 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))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__int_I14_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_image__add__atLeastAtMost,axiom,
% 191.91/192.12 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__0__iff,axiom,
% 191.91/192.12 ! [V_i_2] :
% 191.91/192.12 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__le__0,axiom,
% 191.91/192.12 ! [V_z] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.12 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_zless__nat__conj,axiom,
% 191.91/192.12 ! [V_z_2,V_w_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.91/192.12 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.91/192.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__mono__iff,axiom,
% 191.91/192.12 ! [V_w_2,V_z_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 191.91/192.12 ! [V_y_2,V_x_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.91/192.12 => ( 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)))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__1,axiom,
% 191.91/192.12 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__0__le,axiom,
% 191.91/192.12 ! [V_z] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.12 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_int__eq__iff,axiom,
% 191.91/192.12 ! [V_z_2,V_m_2] :
% 191.91/192.12 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 191.91/192.12 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 191.91/192.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_int__nat__eq,axiom,
% 191.91/192.12 ! [V_z] :
% 191.91/192.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.12 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 191.91/192.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.12 => 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) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_zless__nat__eq__int__zless,axiom,
% 191.91/192.12 ! [V_z_2,V_m_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 191.91/192.12 <=> 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)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__div__distrib,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.12 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.12 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_card__greaterThanAtMost,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_u_2),V_l_2) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_card__atLeastAtMost,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_l_2,V_u_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_u_2)),V_l_2) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastAtMostSuc__conv,axiom,
% 191.91/192.12 ! [V_n_2,V_m_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 191.91/192.12 => 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)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 191.91/192.12 ! [V_k_2,V_f_2] :
% 191.91/192.12 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,tc_Nat_Onat),V_f_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_k_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I21_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 191.91/192.12 ! [V_A_2,V_f_2,T_b] :
% 191.91/192.12 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__int_I15_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastatMost__psubset__iff,axiom,
% 191.91/192.12 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)))
% 191.91/192.12 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.91/192.12 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_a_2))
% 191.91/192.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 191.91/192.12 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),V_a_2))
% 191.91/192.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 191.91/192.12 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),V_d_2)) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 191.91/192.12 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2)) = hAPP(c_Int_Onat,V_u_2) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__int_I4_J,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_card__atLeastLessThan__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__int_I13_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__int_I12_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_zero__less__nat__eq,axiom,
% 191.91/192.12 ! [V_z_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onat,V_z_2)))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__less__eq__zless,axiom,
% 191.91/192.12 ! [V_z_2,V_w_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 191.91/192.12 ! [V_y_2,V_x_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Int_Onat,V_y_2)))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__eq__iff2,axiom,
% 191.91/192.12 ! [V_w_2,V_m_2] :
% 191.91/192.12 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 191.91/192.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/192.12 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 191.91/192.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/192.12 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__eq__iff,axiom,
% 191.91/192.12 ! [V_m_2,V_w_2] :
% 191.91/192.12 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 191.91/192.12 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/192.12 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 191.91/192.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/192.12 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__le__eq__zle,axiom,
% 191.91/192.12 ! [V_z_2,V_w_2] :
% 191.91/192.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/192.12 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),hAPP(c_Int_Onat,V_z_2)))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_split__nat,axiom,
% 191.91/192.12 ! [V_i_2,V_Pa_2] :
% 191.91/192.12 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 191.91/192.12 <=> ( ! [B_n] :
% 191.91/192.12 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 191.91/192.12 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 191.91/192.12 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.12 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__add__distrib,axiom,
% 191.91/192.12 ! [V_z_H,V_z] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 191.91/192.12 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__mult__distrib,axiom,
% 191.91/192.12 ! [V_z_H,V_z] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.12 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.12 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_A_2)),hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_B_2))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__diff__distrib,axiom,
% 191.91/192.12 ! [V_z,V_z_H] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 191.91/192.12 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),hAPP(c_Int_Onat,V_z_H)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 191.91/192.12 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__head__Suc,axiom,
% 191.91/192.12 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 191.91/192.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 191.91/192.12 => 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))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 191.91/192.12 ! [V_n,V_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.12 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__power__eq,axiom,
% 191.91/192.12 ! [V_n,V_z] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.12 => hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onat,V_z)),V_n) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 191.91/192.12 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__int_I10_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Oorder(T_b)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_one__less__nat__eq,axiom,
% 191.91/192.12 ! [V_z_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onat,V_z_2)))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__less__iff,axiom,
% 191.91/192.12 ! [V_m_2,V_w_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 191.91/192.12 ! [V_z] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.12 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__cl__ivl__Suc,axiom,
% 191.91/192.12 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 191.91/192.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 191.91/192.12 => 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) )
% 191.91/192.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 191.91/192.12 => 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))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setsum__ub__add__nat,axiom,
% 191.91/192.12 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 191.91/192.12 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 => ( 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))))
% 191.91/192.12 => 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)))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I16_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I6_J,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_card__greaterThanLessThan__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_ivl__disj__un_I18_J,axiom,
% 191.91/192.12 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 191.91/192.12 ( class_Orderings_Olinorder(T_b)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__aux__def,axiom,
% 191.91/192.12 ! [V_n,V_i] : c_Int_Onat__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onat,V_i)),V_n) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__morphism__nat__int,axiom,
% 191.91/192.12 c_Nat__Transfer_Otransfer__morphism(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat,hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_decr__mult__lemma,axiom,
% 191.91/192.12 ! [V_k_2,V_Pa_2,V_d_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.91/192.12 => ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/192.12 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/192.12 => 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)))) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_hom__fold1__commute,axiom,
% 191.91/192.12 ! [V_N_2,V_h_2,T_b] :
% 191.91/192.12 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 191.91/192.12 => ( ! [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))
% 191.91/192.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.12 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.12 => 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)) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_incr__mult__lemma,axiom,
% 191.91/192.12 ! [V_k_2,V_Pa_2,V_d_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.91/192.12 => ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/192.12 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/192.12 => 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)))) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_finite__atLeastAtMost__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.12 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.12 => c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 191.91/192.12 ! [V_y_2,V_x_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 191.91/192.12 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.12 => ( V_A_2 = V_B_2
% 191.91/192.12 <=> hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_l_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_u_2) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 191.91/192.12 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_nat__set__def,axiom,
% 191.91/192.12 ! [V_S_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_S_2)
% 191.91/192.12 <=> ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 191.91/192.12 ! [V_C_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_C_2)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 191.91/192.12 ! [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))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 191.91/192.12 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.12 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_l_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_u_2),c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 191.91/192.12 ! [V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) = V_A_2 ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.12 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 191.91/192.12 ! [V_x_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_simp__from__to,axiom,
% 191.91/192.12 ! [V_i_2,V_j_2] :
% 191.91/192.12 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 191.91/192.12 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool)) )
% 191.91/192.12 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 191.91/192.12 => c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint),V_i_2),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 191.91/192.12 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.12 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.12 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,tc_Nat_Onat),V_f_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 191.91/192.12 ! [V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 191.91/192.12 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 191.91/192.12 ! [V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => hAPP(c_Finite__Set_Ocard(tc_Int_Oint),V_A_2) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_card__atLeastAtMost__int,axiom,
% 191.91/192.12 ! [V_u_2,V_l_2] : hAPP(c_Finite__Set_Ocard(tc_Int_Oint),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_l_2,V_u_2)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_u_2),V_l_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 191.91/192.12 ! [V_B_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_B_2))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_aset_I6_J,axiom,
% 191.91/192.12 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_bset_I8_J,axiom,
% 191.91/192.12 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_aset_I4_J,axiom,
% 191.91/192.12 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( B_x != V_t_2
% 191.91/192.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_bset_I4_J,axiom,
% 191.91/192.12 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( B_x != V_t_2
% 191.91/192.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_bset_I7_J,axiom,
% 191.91/192.12 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_aset_I5_J,axiom,
% 191.91/192.12 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_bset_I3_J,axiom,
% 191.91/192.12 ! [V_B_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 191.91/192.12 => ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 191.91/192.12 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 191.91/192.12 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_aset_I3_J,axiom,
% 191.91/192.12 ! [V_A_2,V_t_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 191.91/192.12 => ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 191.91/192.12 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 191.91/192.12 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_bset_I6_J,axiom,
% 191.91/192.12 ! [V_t_2,V_B_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_aset_I8_J,axiom,
% 191.91/192.12 ! [V_t_2,V_A_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 191.91/192.12 ! [V_A_2,V_x_2] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.91/192.12 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Int_Onat,V_x_2)),hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),V_A_2))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_periodic__finite__ex,axiom,
% 191.91/192.12 ! [V_Pa_2,V_d_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 191.91/192.12 => ( ! [B_x,B_k] :
% 191.91/192.12 ( hBOOL(hAPP(V_Pa_2,B_x))
% 191.91/192.12 <=> hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),B_k),V_d_2)))) )
% 191.91/192.12 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/192.12 <=> ? [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_d_2)))
% 191.91/192.12 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 191.91/192.12 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/192.12 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 191.91/192.12 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 191.91/192.12 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/192.12 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/192.12 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 191.91/192.12 ! [V_n,V_x] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 191.91/192.12 ! [V_y,V_x] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/192.12 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_is__nat__def,axiom,
% 191.91/192.12 ! [V_x_2] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.91/192.12 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 191.91/192.12 ! [V_y_2,V_x_2] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 191.91/192.12 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 191.91/192.12 ! [V_x_2,V_A_2] :
% 191.91/192.12 ( c_Nat__Transfer_Onat__set(V_A_2)
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 191.91/192.12 ! [V_n_2,V_m_2] :
% 191.91/192.12 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 191.91/192.12 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 191.91/192.12 => 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))) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 191.91/192.12 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.12 ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 191.91/192.12 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.12 ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.12 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 191.91/192.12 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Int_Oint),V_f_2),V_A_2) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Nat_Onat,T_b),c_Int_Onat),V_f_2)),V_A_2)) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_bset_I5_J,axiom,
% 191.91/192.12 ! [V_t_2,V_B_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2)),V_t_2)) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_aset_I7_J,axiom,
% 191.91/192.12 ! [V_t_2,V_A_2,V_D_2] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 191.91/192.12 => ! [B_x] :
% 191.91/192.12 ( ! [B_xa] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),V_D_2)))
% 191.91/192.12 => ! [B_xb] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 191.91/192.12 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 191.91/192.12 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 191.91/192.12 ! [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))) ).
% 191.91/192.12
% 191.91/192.12 fof(fact_setprod__mono__one__right,axiom,
% 191.91/192.12 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/192.12 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.12 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/192.12 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/192.12 => ( ! [B_x] :
% 191.91/192.12 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.91/192.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__atMost,axiom,
% 191.91/192.13 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atMost__eq__iff,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 191.91/192.13 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atLeast0AtMost,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_lessThan__Suc__atMost,axiom,
% 191.91/192.13 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_card__atMost,axiom,
% 191.91/192.13 ! [V_u_2] : hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_u_2)) = hAPP(c_Nat_OSuc,V_u_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atMost__Suc,axiom,
% 191.91/192.13 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atMost__iff,axiom,
% 191.91/192.13 ! [V_k_2,V_i_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oord(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atMost__subset__iff,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__atMost__Suc,axiom,
% 191.91/192.13 ! [V_n_2,V_f_2,T_b] :
% 191.91/192.13 ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.13 => 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))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atMost__0,axiom,
% 191.91/192.13 hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I9_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__int_I3_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__int_I1_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I2_J,axiom,
% 191.91/192.13 ! [V_u_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I10_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_u_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I7_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_u_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setprod__mono__one__left,axiom,
% 191.91/192.13 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 191.91/192.13 ( class_Groups_Ocomm__monoid__mult(T_c)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 191.91/192.13 => ( ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_T_2),V_S_2)))
% 191.91/192.13 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_T_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zero__less__imp__eq__int,axiom,
% 191.91/192.13 ! [V_k] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.91/192.13 => ? [B_n] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 191.91/192.13 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_card__Pow,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atMost__Int__atLeast,axiom,
% 191.91/192.13 ! [V_n_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => 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))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_field__le__mult__one__interval,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.91/192.13 => ( ! [B_z] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 191.91/192.13 => 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)) ) )
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 191.91/192.13 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.13 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/192.13 => ( V_A_2 = V_B_2
% 191.91/192.13 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.13 => ( ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/192.13 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_PowI,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__top,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__not__empty,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atLeast__eq__iff,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 191.91/192.13 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Cantors__paradox,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ~ ? [B_f] : hAPP(c_Set_Oimage(T_b,tc_fun(T_b,tc_HOL_Obool),B_f),V_A_2) = hAPP(c_Set_OPow(T_b),V_A_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__bottom,axiom,
% 191.91/192.13 ! [V_B_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Set_OPow(T_b),V_B_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__empty,axiom,
% 191.91/192.13 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Pow__iff,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 191.91/192.13 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__insert,axiom,
% 191.91/192.13 ! [V_A_2,V_a_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_Oimage(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oinsert(T_b),V_a_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__iff,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__mono,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_PowD,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_image__Pow__surj,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.91/192.13 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 191.91/192.13 => hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2)) = hAPP(c_Set_OPow(T_b),V_B_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Un__Pow__subset,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__Int__eq,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)),hAPP(c_Set_OPow(T_b),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_image__Pow__mono,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)),V_B_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),c_Set_Oimage(T_c,T_b,V_f_2)),hAPP(c_Set_OPow(T_c),V_A_2))),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atLeast__iff,axiom,
% 191.91/192.13 ! [V_k_2,V_i_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oord(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atLeast__subset__iff,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I14_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__int_I8_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__int_I6_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atLeast__Suc,axiom,
% 191.91/192.13 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Powp__Pow__eq,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I12_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I13_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I1_J,axiom,
% 191.91/192.13 ! [V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_split__pos__lemma,axiom,
% 191.91/192.13 ! [V_n_2,V_Pa_2,V_k_2] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/192.13 => ( 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)))
% 191.91/192.13 <=> ! [B_i,B_j] :
% 191.91/192.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.91/192.13 & 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) )
% 191.91/192.13 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_split__neg__lemma,axiom,
% 191.91/192.13 ! [V_n_2,V_Pa_2,V_k_2] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => ( 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)))
% 191.91/192.13 <=> ! [B_i,B_j] :
% 191.91/192.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 & 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) )
% 191.91/192.13 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__self,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__by__0,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__0,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_greaterThan__eq__iff,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 191.91/192.13 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mod__trivial,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__right__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__left__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__mult1,axiom,
% 191.91/192.13 ! [V_b,V_a,V_c,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__mult2,axiom,
% 191.91/192.13 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__simps_I4_J,axiom,
% 191.91/192.13 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__cong,axiom,
% 191.91/192.13 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.91/192.13 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.91/192.13 => 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) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__add__cong,axiom,
% 191.91/192.13 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.91/192.13 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.91/192.13 => 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) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__simps_I1_J,axiom,
% 191.91/192.13 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__simps_I2_J,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__add__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__add__left__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__add__right__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__add__self1,axiom,
% 191.91/192.13 ! [V_a,V_b,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__add__self2,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__diff__cong,axiom,
% 191.91/192.13 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Oring__div(T_a)
% 191.91/192.13 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 191.91/192.13 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 191.91/192.13 => 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) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__diff__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Oring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__diff__left__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Oring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__diff__right__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Oring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__self,axiom,
% 191.91/192.13 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__zero,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__simps_I3_J,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__zmult1__eq,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zdiff__zmod__right,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zdiff__zmod__left,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 191.91/192.13 ! [V_y,V_x] :
% 191.91/192.13 ( c_Nat__Transfer_Ois__nat(V_x)
% 191.91/192.13 => ( c_Nat__Transfer_Ois__nat(V_y)
% 191.91/192.13 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zpower__zmod,axiom,
% 191.91/192.13 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atLeast__Suc__greaterThan,axiom,
% 191.91/192.13 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__self2__is__0,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__self1__is__0,axiom,
% 191.91/192.13 ! [V_a,V_b,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__self2,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__self1,axiom,
% 191.91/192.13 ! [V_b,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__by__1,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__div__trivial,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 191.91/192.13 ! [V_y,V_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.13 => 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))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__le__nonneg__dividend,axiom,
% 191.91/192.13 ! [V_k,V_m] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_pos__mod__bound,axiom,
% 191.91/192.13 ! [V_a,V_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_neg__mod__bound,axiom,
% 191.91/192.13 ! [V_a,V_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => 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))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__eq__0__iff,axiom,
% 191.91/192.13 ! [V_d_2,V_m_2] :
% 191.91/192.13 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.13 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_DIVISION__BY__ZERO,axiom,
% 191.91/192.13 ! [V_a] :
% 191.91/192.13 ( 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)
% 191.91/192.13 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__zdiv__trivial,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zdiv__zadd1__eq,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)) = V_a ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__div__equality2,axiom,
% 191.91/192.13 ! [V_a,V_b,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__div__equality,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) = V_a ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_div__mod__equality2,axiom,
% 191.91/192.13 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b))),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_div__mod__equality,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Divides_Osemiring__div(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b))),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__neg__neg__trivial,axiom,
% 191.91/192.13 ! [V_b,V_a] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_neg__mod__conj,axiom,
% 191.91/192.13 ! [V_a,V_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => ( 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)))
% 191.91/192.13 & 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))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_neg__mod__sign,axiom,
% 191.91/192.13 ! [V_a,V_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => 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))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__pos__pos__trivial,axiom,
% 191.91/192.13 ! [V_b,V_a] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_pos__mod__conj,axiom,
% 191.91/192.13 ! [V_a,V_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.13 => ( 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)))
% 191.91/192.13 & 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_pos__mod__sign,axiom,
% 191.91/192.13 ! [V_a,V_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.13 => 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))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zdiv__zmod__equality2,axiom,
% 191.91/192.13 ! [V_k,V_b,V_a] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zdiv__zmod__equality,axiom,
% 191.91/192.13 ! [V_k,V_a,V_b] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b))),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_k) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zdiv__zmult1__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_b,V_c))),V_c)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__zdiv__equality,axiom,
% 191.91/192.13 ! [V_b,V_a] : V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_greaterThan__iff,axiom,
% 191.91/192.13 ! [V_k_2,V_i_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oord(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__zdiv__equality_H,axiom,
% 191.91/192.13 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)),V_n)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmult__div__cancel,axiom,
% 191.91/192.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_m),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m,V_n)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_greaterThan__subset__iff,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Powp__mono,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),c_Predicate_OPowp(T_b,V_A_2)),c_Predicate_OPowp(T_b,V_B_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__pos__neg__trivial,axiom,
% 191.91/192.13 ! [V_b,V_a] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => 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) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__int_I7_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_divmod__int__rel__mod__eq,axiom,
% 191.91/192.13 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 191.91/192.13 ( 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)
% 191.91/192.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 191.91/192.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.91/192.13 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmult2__lemma__aux2,axiom,
% 191.91/192.13 ! [V_q,V_r,V_b,V_c] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => 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))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmult2__lemma__aux1,axiom,
% 191.91/192.13 ! [V_q,V_r,V_b,V_c] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => 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))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmult2__lemma__aux4,axiom,
% 191.91/192.13 ! [V_q,V_b,V_r,V_c] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.91/192.13 => 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))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmult2__lemma__aux3,axiom,
% 191.91/192.13 ! [V_q,V_b,V_r,V_c] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 191.91/192.13 => 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))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_split__zmod,axiom,
% 191.91/192.13 ! [V_k_2,V_n_2,V_Pa_2] :
% 191.91/192.13 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 191.91/192.13 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 191.91/192.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 191.91/192.13 => ! [B_i,B_j] :
% 191.91/192.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 191.91/192.13 & 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) )
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 191.91/192.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 => ! [B_i,B_j] :
% 191.91/192.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.13 & 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) )
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__un_I11_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ivl__disj__int_I5_J,axiom,
% 191.91/192.13 ! [V_u_2,V_l_2,T_b] :
% 191.91/192.13 ( class_Orderings_Oorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__zmult2__eq,axiom,
% 191.91/192.13 ! [V_b,V_a,V_c] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_greaterThan__Suc,axiom,
% 191.91/192.13 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_decr__lemma,axiom,
% 191.91/192.13 ! [V_z,V_x,V_d] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_incr__lemma,axiom,
% 191.91/192.13 ! [V_x,V_z,V_d] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 191.91/192.13 => 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)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 191.91/192.13 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 191.91/192.13 & class_Groups_Ocomm__monoid__mult(T_b) )
% 191.91/192.13 => ( V_A_2 = V_B_2
% 191.91/192.13 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 191.91/192.13 => ( ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 191.91/192.13 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_insert__fold1SetE,axiom,
% 191.91/192.13 ! [V_x_2,V_X_2,V_a_2,V_f_2,T_b] :
% 191.91/192.13 ( 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))
% 191.91/192.13 => ~ ! [B_a,B_A] :
% 191.91/192.13 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_fold1Set_Oequations,axiom,
% 191.91/192.13 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 191.91/192.13 ( 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))
% 191.91/192.13 <=> ? [B_a,B_A] :
% 191.91/192.13 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 191.91/192.13 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 191.91/192.13 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__abs,axiom,
% 191.91/192.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__abs__ge__zero,axiom,
% 191.91/192.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__ge__self,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__le__D1,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__minus__commute,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__idempotent,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__zero,axiom,
% 191.91/192.13 ! [T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__eq__0,axiom,
% 191.91/192.13 ! [V_a_2,T_b] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/192.13 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__mult__self,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__mult,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__add__abs,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__one,axiom,
% 191.91/192.13 ! [T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_power__abs,axiom,
% 191.91/192.13 ! [V_n,V_a,T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__of__nat,axiom,
% 191.91/192.13 ! [V_n,T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__less,axiom,
% 191.91/192.13 ! [V_n,V_m] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__divide,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__less__eq__dividend,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__int__eq,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__distrib2,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__distrib,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__setsum__abs,axiom,
% 191.91/192.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__setprod,axiom,
% 191.91/192.13 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.13 ( class_Fields_Olinordered__field(T_b)
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Oabs__class_Oabs(T_b)),V_f_2)),V_A_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__ge__zero,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__le__zero__iff,axiom,
% 191.91/192.13 ! [V_a_2,T_b] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/192.13 => ( 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)))
% 191.91/192.13 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__of__nonneg,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__not__less__zero,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => ~ 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))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zero__less__abs__iff,axiom,
% 191.91/192.13 ! [V_a_2,T_b] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/192.13 => ( 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)))
% 191.91/192.13 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__of__pos,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__triangle__ineq,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__mult__less,axiom,
% 191.91/192.13 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 191.91/192.13 => 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))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__triangle__ineq2__sym,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__triangle__ineq2,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__triangle__ineq3,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_nonzero__abs__divide,axiom,
% 191.91/192.13 ! [V_a,V_b,T_a] :
% 191.91/192.13 ( class_Fields_Olinordered__field(T_a)
% 191.91/192.13 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.13 => 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__Suc,axiom,
% 191.91/192.13 ! [V_n,V_m] :
% 191.91/192.13 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.13 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 191.91/192.13 => 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__1,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__less__divisor,axiom,
% 191.91/192.13 ! [V_m,V_n] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__eq__0__iff,axiom,
% 191.91/192.13 ! [V_d_2,V_m_2] :
% 191.91/192.13 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.13 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__geq,axiom,
% 191.91/192.13 ! [V_n,V_m] :
% 191.91/192.13 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__if,axiom,
% 191.91/192.13 ! [V_n,V_m] :
% 191.91/192.13 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 191.91/192.13 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.13 => 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) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__self3,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_le__mod__geq,axiom,
% 191.91/192.13 ! [V_m,V_n] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__zmult__eq__1,axiom,
% 191.91/192.13 ! [V_n,V_m] :
% 191.91/192.13 ( 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)
% 191.91/192.13 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zmod__int,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_div__add1__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_c)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_c)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__mult__pos,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.13 => 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__eq__mult,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Rings_Oordered__ring__abs(T_a)
% 191.91/192.13 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 191.91/192.13 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 191.91/192.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 191.91/192.13 => 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__diff__triangle__ineq,axiom,
% 191.91/192.13 ! [V_d,V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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))))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__triangle__ineq4,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.13 => 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)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zero__le__power__abs,axiom,
% 191.91/192.13 ! [V_n,V_a,T_a] :
% 191.91/192.13 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_n))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_abs__div__pos,axiom,
% 191.91/192.13 ! [V_x,V_y,T_a] :
% 191.91/192.13 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.13 => 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__le__divisor,axiom,
% 191.91/192.13 ! [V_m,V_n] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.13 => 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)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zabs__less__one__iff,axiom,
% 191.91/192.13 ! [V_z_2] :
% 191.91/192.13 ( 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)))
% 191.91/192.13 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult__self4,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_nat__abs__mult__distrib,axiom,
% 191.91/192.13 ! [V_z,V_w] : hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_w))),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_z))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__mult2__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_div__mult1__eq,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b)),V_c) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_b),V_c))),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_b,V_c))),V_c)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zero__le__zpower__abs,axiom,
% 191.91/192.13 ! [V_n,V_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),V_n))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_div__mod__equality_H,axiom,
% 191.91/192.13 ! [V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mult__div__cancel,axiom,
% 191.91/192.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Divides_Omod__div__equality_H,axiom,
% 191.91/192.13 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_n)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mod__lemma,axiom,
% 191.91/192.13 ! [V_q,V_b,V_r,V_c] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_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))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_split__mod,axiom,
% 191.91/192.13 ! [V_k_2,V_n_2,V_Pa_2] :
% 191.91/192.13 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 191.91/192.13 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 191.91/192.13 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.13 => ! [B_i,B_j] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 191.91/192.13 => ( 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)
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Suc__times__mod__eq,axiom,
% 191.91/192.13 ! [V_m,V_k] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 191.91/192.13 => 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) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 191.91/192.13 ! [V_y,V_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.13 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_nat__mod__distrib,axiom,
% 191.91/192.13 ! [V_y,V_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 191.91/192.13 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_zero__less__zpower__abs__iff,axiom,
% 191.91/192.13 ! [V_n_2,V_x_2] :
% 191.91/192.13 ( 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)))
% 191.91/192.13 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.13 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_int__val__lemma,axiom,
% 191.91/192.13 ! [V_k_2,V_f_2,V_n_2] :
% 191.91/192.13 ( ! [B_i] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 191.91/192.13 => ? [B_i] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 191.91/192.13 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_nat0__intermed__int__val,axiom,
% 191.91/192.13 ! [V_k_2,V_f_2,V_n_2] :
% 191.91/192.13 ( ! [B_i] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_i),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(V_f_2,B_i)))),c_Groups_Oone__class_Oone(tc_Int_Oint))) )
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_k_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 191.91/192.13 => ? [B_i] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 191.91/192.13 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setprod__pos__nat,axiom,
% 191.91/192.13 ! [V_f_2,V_S_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.13 => ( ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(V_f_2,B_x))) )
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_S_2))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_card__less__Suc2,axiom,
% 191.91/192.13 ! [V_i_2,V_M_2] :
% 191.91/192.13 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.91/192.13 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2)))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_card__less,axiom,
% 191.91/192.13 ! [V_i_2,V_M_2] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.91/192.13 => hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_CollectI,axiom,
% 191.91/192.13 ! [T_b,V_a_2,V_Pa_2] :
% 191.91/192.13 ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Collect__conjI,axiom,
% 191.91/192.13 ! [V_Qa_2,V_Pa_2,T_b] :
% 191.91/192.13 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) )
% 191.91/192.13 => 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)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Collect__less__nat,axiom,
% 191.91/192.13 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_k_2)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Collect__le__nat,axiom,
% 191.91/192.13 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_k_2)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Collect__def,axiom,
% 191.91/192.13 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 191.91/192.13
% 191.91/192.13 fof(fact_empty__Collect__eq,axiom,
% 191.91/192.13 ! [V_Pa_2,T_b] :
% 191.91/192.13 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 191.91/192.13 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Collect__empty__eq,axiom,
% 191.91/192.13 ! [V_Pa_2,T_b] :
% 191.91/192.13 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_CollectE,axiom,
% 191.91/192.13 ! [V_Pa_2,V_a_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_CollectD,axiom,
% 191.91/192.13 ! [V_Pa_2,V_a_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_mem__Collect__eq,axiom,
% 191.91/192.13 ! [V_Pa_2,V_a_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 <=> hBOOL(hAPP(V_Pa_2,V_a_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Collect__mem__eq,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)) = V_A_2 ).
% 191.91/192.13
% 191.91/192.13 fof(fact_empty__def,axiom,
% 191.91/192.13 ! [T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fFalse)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Collect__disjI,axiom,
% 191.91/192.13 ! [V_Qa_2,V_Pa_2,T_b] :
% 191.91/192.13 ( 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))))
% 191.91/192.13 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_insert__Collect,axiom,
% 191.91/192.13 ! [V_Pa_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)))),V_Pa_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Collect__disj__eq,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Collect__conj__eq,axiom,
% 191.91/192.13 ! [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)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_insert__compr,axiom,
% 191.91/192.13 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_insert__compr__raw,axiom,
% 191.91/192.13 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Un__def,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__def,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__Collect,axiom,
% 191.91/192.13 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Collect__conv__if,axiom,
% 191.91/192.13 ! [T_b,V_a_2,V_Pa_2] :
% 191.91/192.13 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/192.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 191.91/192.13 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/192.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Collect__conv__if2,axiom,
% 191.91/192.13 ! [T_b,V_a_2,V_Pa_2] :
% 191.91/192.13 ( ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/192.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 191.91/192.13 & ( ~ hBOOL(hAPP(V_Pa_2,V_a_2))
% 191.91/192.13 => hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_a_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_singleton__conv,axiom,
% 191.91/192.13 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_singleton__conv2,axiom,
% 191.91/192.13 ! [V_a_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_a_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_set__diff__eq,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_insert__def,axiom,
% 191.91/192.13 ! [V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_a_2))),V_B_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__M__bounded__by__nat,axiom,
% 191.91/192.13 ! [V_i_2,V_Pa_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),V_Pa_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__setsum__restrict,axiom,
% 191.91/192.13 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 191.91/192.13 ( class_Groups_Ocomm__monoid__add(T_d)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d)),V_f_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_b,T_d),tc_fun(tc_fun(T_b,tc_HOL_Obool),T_d),T_c),c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d)),hAPP(c_COMBC(T_b,T_c,T_d),V_f_2))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2))))),V_T_2) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_if__image__distrib,axiom,
% 191.91/192.13 ! [V_S_2,V_g_2,V_f_2,V_Pa_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),T_c),c_If(T_b)),V_Pa_2)),V_f_2)),V_g_2)),V_S_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),V_Pa_2)))),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_S_2),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c),c_fNot),V_Pa_2))))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_nat__seg__image__imp__finite,axiom,
% 191.91/192.13 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 191.91/192.13 ( 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)))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__restrict__set_H,axiom,
% 191.91/192.13 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 191.91/192.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_f_2)),c_Groups_Ozero__class_Ozero(T_c))),V_A_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__image__gen,axiom,
% 191.91/192.13 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 191.91/192.13 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_S_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_d,T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),T_c,T_d),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_OCollect(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2)))),hAPP(c_COMBC(T_b,T_d,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_d,tc_HOL_Obool),T_b),c_fequal),V_f_2)))))),hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_S_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_card__less__Suc,axiom,
% 191.91/192.13 ! [V_i_2,V_M_2] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 191.91/192.13 => hAPP(c_Nat_OSuc,hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),V_i_2))))) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_M_2))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_OSuc,V_i_2))))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__multicount,axiom,
% 191.91/192.13 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 191.91/192.13 => ( ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 191.91/192.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_S_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = V_k_2 )
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_T_2)))),V_R_2)))),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),hAPP(c_Finite__Set_Ocard(T_c),V_T_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_setsum__multicount__gen,axiom,
% 191.91/192.13 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 191.91/192.13 => ( ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 191.91/192.13 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_s_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),V_R_2),B_x)))) = hAPP(V_k_2,B_x) )
% 191.91/192.13 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_inf__Sup1__distrib,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_inf__Sup2__distrib,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__inf__class_Oinf(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_sup__Inf2__distrib,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_B_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Lattices_Osemilattice__sup__class_Osup(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Collect__subsets,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__def,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),V_A_2) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),V_A_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__image__set,axiom,
% 191.91/192.13 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_HOL_Obool)),T_c),c_COMBB(T_c,tc_HOL_Obool,T_b)),c_fequal)),V_f_2)))),V_Pa_2))))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Collect__bounded__ex,axiom,
% 191.91/192.13 ! [V_Qa_2,T_c,V_Pa_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 => ( 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)))))
% 191.91/192.13 <=> ! [B_y] :
% 191.91/192.13 ( hBOOL(hAPP(V_Pa_2,B_y))
% 191.91/192.13 => 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)))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 191.91/192.13 ! [V_Pa_2] : c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 191.91/192.13 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_2)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Nat_Onat),V_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 191.91/192.13 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_2) = hAPP(c_Set_Oimage(tc_Int_Oint,tc_Nat_Onat,c_Int_Onat),hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),V_Pa_2),c_Int_Onat)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_sup__Inf1__distrib,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Lattices_Odistrib__lattice(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_add__Min__commute,axiom,
% 191.91/192.13 ! [V_k_2,V_N_2,T_b] :
% 191.91/192.13 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_add__Max__commute,axiom,
% 191.91/192.13 ! [V_k_2,V_N_2,T_b] :
% 191.91/192.13 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.13 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Groups_Oplus__class_Oplus(T_b),V_k_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_N_2))))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__conv__nat__seg__image,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 <=> ? [B_n,B_f] : V_A_2 = hAPP(c_Set_Oimage(tc_Nat_Onat,T_b,B_f),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),B_n))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_pigeonhole__infinite,axiom,
% 191.91/192.13 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.91/192.13 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.91/192.13 => ? [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_HOL_Obool),T_b),c_fequal),V_f_2)),hAPP(V_f_2,B_x)))))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__le__eq__Un0,axiom,
% 191.91/192.13 ! [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))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP1__I,axiom,
% 191.91/192.13 ! [T_c,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__o,axiom,
% 191.91/192.13 ! [V_f_2,V_g_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Fun_Ocomp(T_d,tc_fun(T_b,tc_HOL_Obool),T_c,V_g_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_g_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP1__iff,axiom,
% 191.91/192.13 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2),V_b_2))
% 191.91/192.13 <=> ? [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__UN,axiom,
% 191.91/192.13 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Osingleton,axiom,
% 191.91/192.13 ! [V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Osingleton,axiom,
% 191.91/192.13 ! [V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max__ge,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min__le,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_x_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min__in,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max__in,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__le__add__shift,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min__antimono,axiom,
% 191.91/192.13 ! [V_N_2,V_M_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 191.91/192.13 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_M_2))) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max__mono,axiom,
% 191.91/192.13 ! [V_N_2,V_M_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 191.91/192.13 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_M_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2))) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__I,axiom,
% 191.91/192.13 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_image__eq__UN,axiom,
% 191.91/192.13 ! [V_A_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Set_Oinsert(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__Pow__subset,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_c),c_Set_OPow(T_b)),V_B_2))),hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__insert,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_a_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I2_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/192.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = V_B_2 )
% 191.91/192.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_ball__UN,axiom,
% 191.91/192.13 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/192.13 ( ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/192.13 => ! [B_xa] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 191.91/192.13 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP__commute,axiom,
% 191.91/192.13 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 191.91/192.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,T_b),T_b,T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2)),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,T_b),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_b),T_b,T_d),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2)),hAPP(c_COMBC(T_c,T_d,T_b),V_f_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__UN__flatten,axiom,
% 191.91/192.13 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I9_J,axiom,
% 191.91/192.13 ! [V_C_2,V_B_2,V_A_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_d),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I9_J,axiom,
% 191.91/192.13 ! [V_C_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_HOL_Obool),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool))),V_B_2)),V_C_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_A_2),V_B_2)),V_C_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP__le__iff,axiom,
% 191.91/192.13 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 191.91/192.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_M_2)),V_u_2))
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_less__SUP__iff,axiom,
% 191.91/192.13 ! [V_f_2,V_A_2,T_c,V_a_2,T_b] :
% 191.91/192.13 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.13 & class_Orderings_Olinorder(T_b) )
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 191.91/192.13 <=> ? [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__iff,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 191.91/192.13 <=> ? [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP__const,axiom,
% 191.91/192.13 ! [V_M_2,T_b,V_A_2,T_c] :
% 191.91/192.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),hAPP(c_COMBK(T_c,T_b),V_M_2)) = V_M_2 ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UNION__empty__conv_I1_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_c,T_b] :
% 191.91/192.13 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/192.13 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__empty2,axiom,
% 191.91/192.13 ! [V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_c),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__constant,axiom,
% 191.91/192.13 ! [V_c_2,T_c,T_b,V_A_2] :
% 191.91/192.13 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.91/192.13 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_c_2)) = V_c_2 ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UNION__empty__conv_I2_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.13 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/192.13 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__subset__iff,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),V_B_2))
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(V_A_2,B_x)),V_B_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I10_J,axiom,
% 191.91/192.13 ! [V_f_2,V_B_2,T_d,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_d,tc_fun(T_b,tc_HOL_Obool),T_c),V_B_2),V_f_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_d,V_f_2),V_A_2)),V_B_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_image__UN,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_d,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Set_Oimage(T_c,T_b,V_f_2)),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I10_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_f_2,T_d,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_d,T_c,V_f_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_d),V_B_2),V_f_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__Un__distrib,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_I_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBS(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__Un,axiom,
% 191.91/192.13 ! [V_M_2,V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_M_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_M_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I5_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I4_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I5_J,axiom,
% 191.91/192.13 ! [V_B_2,V_C_2,T_c,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__UN__distrib,axiom,
% 191.91/192.13 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),V_A_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I4_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__UN__distrib2,axiom,
% 191.91/192.13 ! [V_B_2,V_J_2,T_d,V_A_2,V_I_2,T_c,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_I_2),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_J_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_d,tc_fun(T_b,tc_HOL_Obool))),T_c),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool))),V_A_2))),V_B_2))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUPR__apply,axiom,
% 191.91/192.13 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 191.91/192.13 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.13 => hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,T_b)),V_A_2),V_f_2),V_x_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_f_2),V_x_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I6_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_C_2,T_c,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I6_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_C_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_c),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP__subset,axiom,
% 191.91/192.13 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 191.91/192.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_f_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_B_2),V_f_2))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_le__SUPI,axiom,
% 191.91/192.13 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 191.91/192.13 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_M_2,V_i_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,T_c),V_A_2),V_M_2))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__insert__distrib,axiom,
% 191.91/192.13 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__upper,axiom,
% 191.91/192.13 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_a_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__absorb,axiom,
% 191.91/192.13 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_A_2,V_k_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_I_2),V_A_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I1_J,axiom,
% 191.91/192.13 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 191.91/192.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 191.91/192.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__singleton,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_A_2 ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I1_J,axiom,
% 191.91/192.13 ! [V_B_2,V_a_2,T_c,T_b,V_C_2] :
% 191.91/192.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.91/192.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_Oinsert(T_c),V_a_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I3_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/192.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.91/192.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__simps_I2_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/192.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 191.91/192.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool))),V_A_2)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_A_2)),V_B_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__extend__simps_I3_J,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 191.91/192.13 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = V_A_2 )
% 191.91/192.13 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_C_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2)),V_B_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Oremove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Oremove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__UN__I,axiom,
% 191.91/192.13 ! [V_B_2,T_c,V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ! [B_a] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_greaterThan__0,axiom,
% 191.91/192.13 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_diff__nat__eq__if,axiom,
% 191.91/192.13 ! [V_z_2,V_z_H_2] :
% 191.91/192.13 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 191.91/192.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) )
% 191.91/192.13 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 191.91/192.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_top1I,axiom,
% 191.91/192.13 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP2__I,axiom,
% 191.91/192.13 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,V_a_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UNIV__I,axiom,
% 191.91/192.13 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UNIV__not__empty,axiom,
% 191.91/192.13 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__UNIV,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( class_Finite__Set_Ofinite(T_b)
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__fun__UNIVD2,axiom,
% 191.91/192.13 ! [T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__add__distrib__left,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__add__distrib__left,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_y),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__diff__distrib__left,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__diff__distrib__left,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_z)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_y),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_sup__max,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( ( class_Lattices_Osemilattice__sup(T_b)
% 191.91/192.13 & class_Orderings_Olinorder(T_b) )
% 191.91/192.13 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__0R,axiom,
% 191.91/192.13 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__0L,axiom,
% 191.91/192.13 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 191.91/192.13
% 191.91/192.13 fof(fact_inf__min,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( ( class_Lattices_Osemilattice__inf(T_b)
% 191.91/192.13 & class_Orderings_Olinorder(T_b) )
% 191.91/192.13 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__0R,axiom,
% 191.91/192.13 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__0L,axiom,
% 191.91/192.13 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__Suc__Suc,axiom,
% 191.91/192.13 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_m),V_n)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__Suc__Suc,axiom,
% 191.91/192.13 ! [V_n,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Pow__UNIV,axiom,
% 191.91/192.13 ! [T_b] : hAPP(c_Set_OPow(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Oidem,axiom,
% 191.91/192.13 ! [V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Oidem,axiom,
% 191.91/192.13 ! [V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 191.91/192.13 ! [V_x,V_z,V_y,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_z),V_x)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 191.91/192.13 ! [V_x,V_z,V_y,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)),V_x) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_z),V_x)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__assoc,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf_Oassoc,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__assoc,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup_Oassoc,axiom,
% 191.91/192.13 ! [V_c,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__left__commute,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 191.91/192.13 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__left__commute,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 191.91/192.13 ! [V_c,V_a,V_b,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_c)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__left__idem,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__left__idem,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = V_x ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__inf__absorb,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = V_x ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__commute,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf_Ocommute,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__commute,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_x) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup_Ocommute,axiom,
% 191.91/192.13 ! [V_b,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_b),V_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf_Oidem,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup_Oidem,axiom,
% 191.91/192.13 ! [V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_top__apply,axiom,
% 191.91/192.13 ! [V_x_2,T_c,T_b] :
% 191.91/192.13 ( class_Orderings_Otop(T_b)
% 191.91/192.13 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UNIV__Plus__UNIV,axiom,
% 191.91/192.13 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__less__iff__conj,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__less__iff__disj,axiom,
% 191.91/192.13 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 191.91/192.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oless__infI1,axiom,
% 191.91/192.13 ! [V_b,V_x,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oless__infI2,axiom,
% 191.91/192.13 ! [V_a,V_x,V_b,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_less__max__iff__disj,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 191.91/192.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__less__iff__conj,axiom,
% 191.91/192.13 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oless__supI1,axiom,
% 191.91/192.13 ! [V_b,V_a,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oless__supI2,axiom,
% 191.91/192.13 ! [V_a,V_b,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__le__iff__disj,axiom,
% 191.91/192.13 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2)),V_z_2))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.91/192.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__le1,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_x)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__le2,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_y)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__iff__inf,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.13 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__inf__iff,axiom,
% 191.91/192.13 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_y_2),V_z_2)))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__infI1,axiom,
% 191.91/192.13 ! [V_b,V_x,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__infI2,axiom,
% 191.91/192.13 ! [V_a,V_x,V_b,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_x)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__absorb1,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__absorb2,axiom,
% 191.91/192.13 ! [V_x,V_y,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__infI,axiom,
% 191.91/192.13 ! [V_b,V_a,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__greatest,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__mono,axiom,
% 191.91/192.13 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_c),V_d))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__infE,axiom,
% 191.91/192.13 ! [V_b,V_a,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)))
% 191.91/192.13 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/192.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__atLeastAtMost,axiom,
% 191.91/192.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__greaterThanLessThan,axiom,
% 191.91/192.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Odistrib__inf__le,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Odistrib__sup__le,axiom,
% 191.91/192.13 ! [V_z,V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z))),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_z)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Prod__UNIV,axiom,
% 191.91/192.13 ! [T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__option__UNIV,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(T_b),tc_HOL_Obool))))
% 191.91/192.13 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__greaterThanAtMost,axiom,
% 191.91/192.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_a_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__atLeastLessThan,axiom,
% 191.91/192.13 ! [V_d_2,V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__supE,axiom,
% 191.91/192.13 ! [V_x,V_b,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x))
% 191.91/192.13 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/192.13 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__mono,axiom,
% 191.91/192.13 ! [V_d,V_b,V_c,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_c),V_d))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__least,axiom,
% 191.91/192.13 ! [V_z,V_x,V_y,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_y),V_z)),V_x)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__supI,axiom,
% 191.91/192.13 ! [V_b,V_x,V_a,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b)),V_x)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__absorb1,axiom,
% 191.91/192.13 ! [V_x,V_y,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__absorb2,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__supI2,axiom,
% 191.91/192.13 ! [V_a,V_b,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__supI1,axiom,
% 191.91/192.13 ! [V_b,V_a,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_b))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__sup__iff,axiom,
% 191.91/192.13 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)),V_z_2))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ole__iff__sup,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 191.91/192.13 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_le__maxI2,axiom,
% 191.91/192.13 ! [V_x,V_y,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_le__maxI1,axiom,
% 191.91/192.13 ! [V_y,V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_le__max__iff__disj,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2)))
% 191.91/192.13 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 191.91/192.13 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__diff,axiom,
% 191.91/192.13 ! [V_n,V_i,V_m] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_i)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_i)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_m),V_n)),V_i) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_subset__UNIV,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Un__UNIV__right,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Un__UNIV__left,axiom,
% 191.91/192.13 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__UNIV__right,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = V_A_2 ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__UNIV__left,axiom,
% 191.91/192.13 ! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2 ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__of__mono,axiom,
% 191.91/192.13 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] :
% 191.91/192.13 ( ( class_Orderings_Olinorder(T_c)
% 191.91/192.13 & class_Orderings_Olinorder(T_b) )
% 191.91/192.13 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.13 => 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__of__mono,axiom,
% 191.91/192.13 ! [V_n_2,V_m_2,V_f_2,T_b,T_c] :
% 191.91/192.13 ( ( class_Orderings_Olinorder(T_c)
% 191.91/192.13 & class_Orderings_Olinorder(T_b) )
% 191.91/192.13 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.13 => 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)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Plus__UNIV__iff,axiom,
% 191.91/192.13 ! [T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool))))
% 191.91/192.13 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.13 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_not__neg__0,axiom,
% 191.91/192.13 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_not__neg__int,axiom,
% 191.91/192.13 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_not__neg__1,axiom,
% 191.91/192.13 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_infinite__UNIV__nat,axiom,
% 191.91/192.13 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UNIV__def,axiom,
% 191.91/192.13 ! [T_b] : c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),hAPP(c_COMBK(tc_HOL_Obool,T_b),c_fTrue)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_range__composition,axiom,
% 191.91/192.13 ! [V_g_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,hAPP(hAPP(c_COMBB(T_d,T_b,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = hAPP(c_Set_Oimage(T_d,T_b,V_f_2),hAPP(c_Set_Oimage(T_c,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_top__greatest,axiom,
% 191.91/192.13 ! [V_x,T_a] :
% 191.91/192.13 ( class_Orderings_Otop(T_a)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_sup__top__right,axiom,
% 191.91/192.13 ! [V_x,T_a] :
% 191.91/192.13 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_sup__top__left,axiom,
% 191.91/192.13 ! [V_x,T_a] :
% 191.91/192.13 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_inf__eq__top__iff,axiom,
% 191.91/192.13 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.13 ( class_Lattices_Obounded__lattice__top(T_b)
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 191.91/192.13 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 191.91/192.13 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_inf__top__right,axiom,
% 191.91/192.13 ! [V_x,T_a] :
% 191.91/192.13 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_inf__top__left,axiom,
% 191.91/192.13 ! [V_x,T_a] :
% 191.91/192.13 ( class_Lattices_Obounded__lattice__top(T_a)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__lessThan__UNIV,axiom,
% 191.91/192.13 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__atMost__UNIV,axiom,
% 191.91/192.13 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_nat__minus__add__max,axiom,
% 191.91/192.13 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)),V_m) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),V_m) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_range__eqI,axiom,
% 191.91/192.13 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 191.91/192.13 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_rangeI,axiom,
% 191.91/192.13 ! [T_c,V_x_2,V_f_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__atLeast__UNIV,axiom,
% 191.91/192.13 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Diff__UNIV,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_comp__surj,axiom,
% 191.91/192.13 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 191.91/192.13 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hAPP(c_Set_Oimage(T_b,T_d,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))
% 191.91/192.13 => hAPP(c_Set_Oimage(T_c,T_d,hAPP(c_Fun_Ocomp(T_b,T_d,T_c,V_g_2),V_f_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.13 => ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.13 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_not__neg__eq__ge__0,axiom,
% 191.91/192.13 ! [V_x_2] :
% 191.91/192.13 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_neg__def,axiom,
% 191.91/192.13 ! [V_Z_2] :
% 191.91/192.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_neg__nat,axiom,
% 191.91/192.13 ! [V_z] :
% 191.91/192.13 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 191.91/192.13 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_not__neg__nat,axiom,
% 191.91/192.13 ! [V_z] :
% 191.91/192.13 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 191.91/192.13 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__Collect__not,axiom,
% 191.91/192.13 ! [V_Pa_2,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))))
% 191.91/192.13 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP__UN__eq,axiom,
% 191.91/192.13 ! [V_x_2,V_r_2,T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c))),V_r_2)),V_x_2))
% 191.91/192.13 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__range__imageI,axiom,
% 191.91/192.13 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_d),hAPP(c_Set_Oimage(T_c,T_d,hAPP(hAPP(c_COMBB(T_b,T_d,T_c),V_f_2),V_g_2)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_atLeast__0,axiom,
% 191.91/192.13 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__Suc1,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__Suc2,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Oin__idem,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Oin__idem,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Omono__sup,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.91/192.13 ( ( class_Lattices_Osemilattice__sup(T_c)
% 191.91/192.13 & class_Orderings_Olinorder(T_b) )
% 191.91/192.13 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.13 => 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)))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Omono__inf,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 191.91/192.13 ( ( class_Lattices_Osemilattice__inf(T_c)
% 191.91/192.13 & class_Orderings_Olinorder(T_b) )
% 191.91/192.13 => ( c_Orderings_Oorder__class_Omono(T_b,T_c,V_f_2)
% 191.91/192.13 => 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)))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__atLeastAtMostL1,axiom,
% 191.91/192.13 ! [V_d_2,V_b_2,V_a_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__atLeastAtMostR1,axiom,
% 191.91/192.13 ! [V_d_2,V_c_2,V_b_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__atLeastAtMostL2,axiom,
% 191.91/192.13 ! [V_c_2,V_b_2,V_a_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_a_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_c_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_b_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Int__atLeastAtMostR2,axiom,
% 191.91/192.13 ! [V_d_2,V_c_2,V_a_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_a_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_c_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),V_c_2),V_d_2) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_OF__eq,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_OF__eq,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__Suc2,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__Suc1,axiom,
% 191.91/192.13 ! [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) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Ofold1__belowI,axiom,
% 191.91/192.13 ! [V_a_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_a_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__UN__finite__eq,axiom,
% 191.91/192.13 ! [V_A_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Nat_Onat),c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),V_A_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_fold1__below__iff,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 191.91/192.13 <=> ? [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_fold1__strict__below__iff,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 191.91/192.13 <=> ? [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_strict__below__fold1__iff,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)))
% 191.91/192.13 <=> ! [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max__insert,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min__insert,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Osubset__idem,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Osubset__idem,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max__Un,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min__Un,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__UNIV__card__ge__0,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Finite__Set_Ocard(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Oinsert,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Oinsert,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_fold1__antimono,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Oinsert__remove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Ounion__disjoint,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Max_Ounion__inter,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMax(T_b,V_B_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Oinsert__remove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Ounion__disjoint,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_Min_Ounion__inter,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),c_Big__Operators_Olinorder__class_OMin(T_b,V_B_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_finite__fun__UNIVD1,axiom,
% 191.91/192.13 ! [T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,T_c)),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,T_c),tc_HOL_Obool))))
% 191.91/192.13 => ( hAPP(c_Finite__Set_Ocard(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) != hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 191.91/192.13 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_dual__min,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Orderings_Oord_Omin(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_dual__max,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Orderings_Oord_Omax(T_b,hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(T_b))) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_UN__finite2__subset,axiom,
% 191.91/192.13 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 191.91/192.13 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2))) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_max__ord__max,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( class_Orderings_Oord(T_b)
% 191.91/192.13 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_SUP2__iff,axiom,
% 191.91/192.13 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 191.91/192.13 <=> ? [B_x] :
% 191.91/192.13 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.13 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_sup__nat__def,axiom,
% 191.91/192.13 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_inf__nat__def,axiom,
% 191.91/192.13 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_card__UNIV__unit,axiom,
% 191.91/192.13 hAPP(c_Finite__Set_Ocard(tc_Product__Type_Ounit),c_Orderings_Otop__class_Otop(tc_fun(tc_Product__Type_Ounit,tc_HOL_Obool))) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_infinite__UNIV__int,axiom,
% 191.91/192.13 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__ord__min,axiom,
% 191.91/192.13 ! [T_b] :
% 191.91/192.13 ( class_Orderings_Oord(T_b)
% 191.91/192.13 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omin(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBS(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_b,tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),T_b),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),T_b),c_COMBB(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal))),c_Orderings_Oord__class_Omax(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))))))) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,T_b)),c_fequal)),hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__le__Sup,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2))) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 191.91/192.13 ! [V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 191.91/192.13 ! [V_x_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 191.91/192.13 ! [V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omax(T_b)),V_A_2) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 191.91/192.13 ! [V_a_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_a_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 191.91/192.13 ! [V_a_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_a_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_a_2 ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_B_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 191.91/192.13 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 191.91/192.13 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_B_2)) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.91/192.13
% 191.91/192.13 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 191.91/192.13 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.13 ( class_Orderings_Olinorder(T_b)
% 191.91/192.13 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.13 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.13 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 191.91/192.13 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.13 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 191.91/192.14 ! [V_A_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 191.91/192.14 ! [V_A_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Max_Oclosed,axiom,
% 191.91/192.14 ! [V_A_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Min_Oclosed,axiom,
% 191.91/192.14 ! [V_A_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_UN__finite2__eq,axiom,
% 191.91/192.14 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 191.91/192.14 ( ! [B_n] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_n),V_k_2))),V_B_2)
% 191.91/192.14 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_B_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_UN__finite__subset,axiom,
% 191.91/192.14 ! [V_C_2,V_A_2,T_b] :
% 191.91/192.14 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n)),V_A_2)),V_C_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),V_A_2)),V_C_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_iso__tuple__UNIV__I,axiom,
% 191.91/192.14 ! [V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 191.91/192.14 ! [V_N_2,V_h_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_o__eq__dest__lhs,axiom,
% 191.91/192.14 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 191.91/192.14 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_a_2),V_b_2) = V_c_2
% 191.91/192.14 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_K__record__comp,axiom,
% 191.91/192.14 ! [V_x_2,V_f_2,V_c_2,T_d,T_b,T_c] : hAPP(hAPP(c_Fun_Ocomp(T_c,T_b,T_d,hAPP(c_COMBK(T_b,T_c),V_c_2)),V_f_2),V_x_2) = V_c_2 ).
% 191.91/192.14
% 191.91/192.14 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 191.91/192.14 ! [V_N_2,V_h_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Max_Ohom__commute,axiom,
% 191.91/192.14 ! [V_N_2,V_h_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Min_Ohom__commute,axiom,
% 191.91/192.14 ! [V_N_2,V_h_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 191.91/192.14 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_setsum__cases,axiom,
% 191.91/192.14 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 191.91/192.14 ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),V_Pa_2)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2))))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_ComplI,axiom,
% 191.91/192.14 ! [V_A_2,V_c_2,T_b] :
% 191.91/192.14 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 191.91/192.14 => 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))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mod__minus__cong,axiom,
% 191.91/192.14 ! [V_a_H,V_b,V_a,T_a] :
% 191.91/192.14 ( class_Divides_Oring__div(T_a)
% 191.91/192.14 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 191.91/192.14 => 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) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mod__minus__eq,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Divides_Oring__div(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__anti__mono,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__subset__Compl__iff,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__divide__left,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__divide__divide,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__divide__right,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__imp__neg__le,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__le__iff__le,axiom,
% 191.91/192.14 ! [V_a_2,V_b_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__le__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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))
% 191.91/192.14 <=> 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__minus__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__mono,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__le__compl__iff,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__zero,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__0__equal__iff__equal,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_b)
% 191.91/192.14 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 191.91/192.14 <=> c_Groups_Ozero__class_Ozero(T_b) = V_a_2 ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_equal__neg__zero,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.14 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)
% 191.91/192.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__equal__0__iff__equal,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_b)
% 191.91/192.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__equal__zero,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_a_2
% 191.91/192.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__less__iff__less,axiom,
% 191.91/192.14 ! [V_a_2,V_b_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__less__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_a_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__minus__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_fun__Compl__def,axiom,
% 191.91/192.14 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.91/192.14 ( class_Groups_Ouminus(T_b)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_double__complement,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = V_A_2 ).
% 191.91/192.14
% 191.91/192.14 fof(fact_double__compl,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_uminus__apply,axiom,
% 191.91/192.14 ! [V_x_2,V_A_2,T_c,T_b] :
% 191.91/192.14 ( class_Groups_Ouminus(T_b)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,T_b)),V_A_2),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(V_A_2,V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__eq__Compl__iff,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.14 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)
% 191.91/192.14 <=> V_A_2 = V_B_2 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__eq__compl__iff,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_b)
% 191.91/192.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 191.91/192.14 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__minus,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_equation__minus__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_b)
% 191.91/192.14 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.91/192.14 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__equation__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_b)
% 191.91/192.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = V_b_2
% 191.91/192.14 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_a_2 ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__equal__iff__equal,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_b)
% 191.91/192.14 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.91/192.14 <=> V_a_2 = V_b_2 ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__diff__eq,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oab__group__add(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_ComplE,axiom,
% 191.91/192.14 ! [V_A_2,V_c_2,T_b] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_ComplD,axiom,
% 191.91/192.14 ! [V_A_2,V_c_2,T_b] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__iff,axiom,
% 191.91/192.14 ! [V_A_2,V_c_2,T_b] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_square__eq__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Oidom(T_b)
% 191.91/192.14 => ( 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)
% 191.91/192.14 <=> ( V_a_2 = V_b_2
% 191.91/192.14 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__mult__minus,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Oring(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__mult__commute,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Oring(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__mult__left,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Oring(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__mult__right,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Oring(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__add__distrib,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oab__group__add(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__add,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__minus__cancel,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__add__cancel,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__minus__cancel,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_setsum__negf,axiom,
% 191.91/192.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.14 ( class_Groups_Oab__group__add(T_b)
% 191.91/192.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Collect__neg__eq,axiom,
% 191.91/192.14 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__0__le__iff__le,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__minus__self__iff,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__le__0__iff__le,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__le__self__iff,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__0__less__iff__less,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__less__0__iff__less,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__less__nonneg,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_a_2))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__minus__self__iff,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__unique,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_ab__left__minus,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oab__group__add(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_left__minus,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_b)
% 191.91/192.14 => ( V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 191.91/192.14 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_right__minus,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__0,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__minus__eq__add,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Rings_Ocomm__ring__1(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_ab__diff__minus,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oab__group__add(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__def,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Ogroup__add(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_square__eq__1__iff,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.91/192.14 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 191.91/192.14 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 191.91/192.14 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Rings_Ocomm__ring__1(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__inf__bot,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_inf__compl__bot,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__eq,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__bot__eq,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__top__eq,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__inf,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__sup,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__sup__top,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),V_x) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sup__compl__top,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nonzero__minus__divide__divide,axiom,
% 191.91/192.14 ! [V_a,V_b,T_a] :
% 191.91/192.14 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.14 => 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) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nonzero__minus__divide__right,axiom,
% 191.91/192.14 ! [V_a,V_b,T_a] :
% 191.91/192.14 ( class_Rings_Odivision__ring(T_a)
% 191.91/192.14 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__ge__minus__self,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.14 => 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))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__le__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 191.91/192.14 => ( 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))
% 191.91/192.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),V_b_2))
% 191.91/192.14 & 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)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__leI,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__le__D2,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__less__iff,axiom,
% 191.91/192.14 ! [V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_a_2)),V_b_2))
% 191.91/192.14 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),V_b_2))
% 191.91/192.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_a_2)),V_b_2)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_subset__Compl__self__eq,axiom,
% 191.91/192.14 ! [V_A_2,T_b] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__UNIV__eq,axiom,
% 191.91/192.14 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__empty__eq,axiom,
% 191.91/192.14 ! [T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_finite__compl,axiom,
% 191.91/192.14 ! [V_A_2,T_b] :
% 191.91/192.14 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 191.91/192.14 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__disjoint,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__disjoint2,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__partition2,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__partition,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__Un,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__Int,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__max__eq__min,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__min__eq__max,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_y)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__atLeastAtMost,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_A_2) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__power__minus,axiom,
% 191.91/192.14 ! [V_n,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n)) = hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__Diff__eq,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),V_B_2) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Diff__eq,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Diff__Compl,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Ints__minus,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Oring__1(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Int_Oring__1__class_OInts(T_b)))
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_x_2,V_y_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__eq,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__lessThan,axiom,
% 191.91/192.14 ! [V_k_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__atLeast,axiom,
% 191.91/192.14 ! [V_k_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Collect__imp__eq,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__atMost,axiom,
% 191.91/192.14 ! [V_k_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Compl__greaterThan,axiom,
% 191.91/192.14 ! [V_k_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__minus__le__zero,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.14 => 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))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__of__nonpos,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__of__neg,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__if,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Oabs__if(T_a)
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_power__minus,axiom,
% 191.91/192.14 ! [V_n,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_disjoint__eq__subset__Compl,axiom,
% 191.91/192.14 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.14 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_surj__Compl__image__subset,axiom,
% 191.91/192.14 ! [V_A_2,V_f_2,T_b,T_c] :
% 191.91/192.14 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_A_2)))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_x_2,V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__atLeastLessThan,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_x_2),V_y_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__greaterThan,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__lessThan,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__atMost,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_image__uminus__atLeast,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.14 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Pow__Compl,axiom,
% 191.91/192.14 ! [V_A_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) = hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool))),c_fequal)),c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2)),c_Set_OPow(T_b))))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_compl__unique,axiom,
% 191.91/192.14 ! [V_y,V_x,T_a] :
% 191.91/192.14 ( class_Lattices_Oboolean__algebra(T_a)
% 191.91/192.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 191.91/192.14 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__Min__eq__Max,axiom,
% 191.91/192.14 ! [V_S_2,T_b] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.14 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__Max__eq__Min,axiom,
% 191.91/192.14 ! [V_S_2,T_b] :
% 191.91/192.14 ( class_Groups_Olinordered__ab__group__add(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 191.91/192.14 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.14 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_S_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),V_S_2)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__if,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Groups_Osgn__if(T_a)
% 191.91/192.14 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 191.91/192.14 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__neg,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__1__neg,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__of__nat,axiom,
% 191.91/192.14 ! [V_k,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k)))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_k)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_negative__zle,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_negative__zless,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zminus__zmod,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zmod__zminus__zminus,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zmod__zminus2,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zdiv__zminus__zminus,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zdiv__zminus2,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zmult__zminus,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zminus__0,axiom,
% 191.91/192.14 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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zminus__zminus,axiom,
% 191.91/192.14 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__minus,axiom,
% 191.91/192.14 ! [V_z,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zminus__zadd__distrib,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__int__eq,axiom,
% 191.91/192.14 ! [V_n] : hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__eq__iff,axiom,
% 191.91/192.14 ! [V_z_2,V_w_2,T_b] :
% 191.91/192.14 ( class_Int_Oring__char__0(T_b)
% 191.91/192.14 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 191.91/192.14 <=> V_w_2 = V_z_2 ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__sgn,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Osgn__class_Osgn(T_a,V_a)) = c_Groups_Osgn__class_Osgn(T_a,V_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zsgn__def,axiom,
% 191.91/192.14 ! [V_i] :
% 191.91/192.14 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/192.14 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__0__0,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn0,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Groups_Osgn__if(T_a)
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__times,axiom,
% 191.91/192.14 ! [V_b,V_a,T_a] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_a)),c_Groups_Osgn__class_Osgn(T_a,V_b)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zadd__zminus__inverse2,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_negative__eq__positive,axiom,
% 191.91/192.14 ! [V_m_2,V_n_2] :
% 191.91/192.14 ( 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)
% 191.91/192.14 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.14 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_not__int__zless__negative,axiom,
% 191.91/192.14 ! [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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zmod__zminus2__not__zero,axiom,
% 191.91/192.14 ! [V_l,V_k] :
% 191.91/192.14 ( 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)
% 191.91/192.14 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zmod__zminus1__not__zero,axiom,
% 191.91/192.14 ! [V_l,V_k] :
% 191.91/192.14 ( 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)
% 191.91/192.14 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__int__def,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__int__def__symmetric,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__0,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__0__eq__iff,axiom,
% 191.91/192.14 ! [V_z_2,T_b] :
% 191.91/192.14 ( class_Int_Oring__char__0(T_b)
% 191.91/192.14 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 191.91/192.14 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__eq__0__iff,axiom,
% 191.91/192.14 ! [V_z_2,T_b] :
% 191.91/192.14 ( class_Int_Oring__char__0(T_b)
% 191.91/192.14 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__le__iff,axiom,
% 191.91/192.14 ! [V_z_2,V_w_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__less__iff,axiom,
% 191.91/192.14 ! [V_z_2,V_w_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_w_2)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__add,axiom,
% 191.91/192.14 ! [V_z,V_w,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__mult,axiom,
% 191.91/192.14 ! [V_z,V_w,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__1,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__diff,axiom,
% 191.91/192.14 ! [V_z,V_w,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_w),V_z)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_w)),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__of__nat__eq,axiom,
% 191.91/192.14 ! [V_n,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_n) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Ints__of__int,axiom,
% 191.91/192.14 ! [V_z_2,T_b] :
% 191.91/192.14 ( class_Rings_Oring__1(T_b)
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__power,axiom,
% 191.91/192.14 ! [V_n,V_z,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z)),V_n) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_int__zle__neg,axiom,
% 191.91/192.14 ! [V_m_2,V_n_2] :
% 191.91/192.14 ( 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))))
% 191.91/192.14 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.14 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_negative__zle__0,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__greater,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Groups_Osgn__class_Osgn(T_b,V_a_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__less,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_a_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__zminus__int,axiom,
% 191.91/192.14 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zmod__zminus1__eq__if,axiom,
% 191.91/192.14 ! [V_b,V_a] :
% 191.91/192.14 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zmod__zminus2__eq__if,axiom,
% 191.91/192.14 ! [V_b,V_a] :
% 191.91/192.14 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => 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) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zabs__def,axiom,
% 191.91/192.14 ! [V_i] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__zminus__int,axiom,
% 191.91/192.14 ! [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))))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__sgn,axiom,
% 191.91/192.14 ! [V_k,T_a] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.14 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_k),c_Groups_Osgn__class_Osgn(T_a,V_k)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mult__sgn__abs,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Osgn__class_Osgn(T_a,V_x)),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_x)) = V_x ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__setsum,axiom,
% 191.91/192.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.14 ( class_Rings_Oring__1(T_b)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__setprod,axiom,
% 191.91/192.14 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.14 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 191.91/192.14 & class_Rings_Oring__1(T_b) )
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_not__zle__0__negative,axiom,
% 191.91/192.14 ! [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))))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_negative__zless__0,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__le__0__iff,axiom,
% 191.91/192.14 ! [V_z_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__0__le__iff,axiom,
% 191.91/192.14 ! [V_z_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__less__0__iff,axiom,
% 191.91/192.14 ! [V_z_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__0__less__iff,axiom,
% 191.91/192.14 ! [V_z_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__1__pos,axiom,
% 191.91/192.14 ! [V_a_2,T_b] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.14 => ( c_Groups_Osgn__class_Osgn(T_b,V_a_2) = c_Groups_Oone__class_Oone(T_b)
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_sgn__pos,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 191.91/192.14 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__nat__nat,axiom,
% 191.91/192.14 ! [V_z,T_a] :
% 191.91/192.14 ( class_Rings_Oring__1(T_a)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 191.91/192.14 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(c_Int_Onat,V_z)) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_z) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__mult__distrib__neg,axiom,
% 191.91/192.14 ! [V_z_H,V_z] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.14 => hAPP(c_Int_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_z_H)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z))),hAPP(c_Int_Onat,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_H))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zdiv__zminus1__eq__if,axiom,
% 191.91/192.14 ! [V_a,V_b] :
% 191.91/192.14 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 191.91/192.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a)),V_b) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zdiv__zminus2__eq__if,axiom,
% 191.91/192.14 ! [V_a,V_b] :
% 191.91/192.14 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)) )
% 191.91/192.14 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_z3div__def,axiom,
% 191.91/192.14 ! [V_k,V_l] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/192.14 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/192.14 => c_SMT_Oz3div(V_k,V_l) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_l))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_z3mod__def,axiom,
% 191.91/192.14 ! [V_k,V_l] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/192.14 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_negD,axiom,
% 191.91/192.14 ! [V_x] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.14 => ? [B_n] : V_x = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,B_n))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__mod__eq__lemma,axiom,
% 191.91/192.14 ! [V_y,V_n,V_x] :
% 191.91/192.14 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 191.91/192.14 => ? [B_q] : V_x = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),B_q)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mod__induct__0,axiom,
% 191.91/192.14 ! [V_i_2,V_Pa_2,V_p_2] :
% 191.91/192.14 ( ! [B_i] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 191.91/192.14 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 191.91/192.14 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 191.91/192.14 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 191.91/192.14 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_coinduct__set,axiom,
% 191.91/192.14 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 191.91/192.14 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.91/192.14 => ( 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)))))
% 191.91/192.14 => 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))) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__coinduct__set,axiom,
% 191.91/192.14 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 191.91/192.14 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.91/192.14 => ( 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))))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_fold__image__cong,axiom,
% 191.91/192.14 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 191.91/192.14 ( class_Groups_Oab__semigroup__mult(T_c)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( ! [B_x] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.14 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 191.91/192.14 => 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) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_gfp__upperbound,axiom,
% 191.91/192.14 ! [V_f_2,V_X_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),hAPP(V_f_2,V_X_2)))
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_gfp__unfold,axiom,
% 191.91/192.14 ! [V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__gfp__unfold,axiom,
% 191.91/192.14 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => V_A_2 = hAPP(V_f_2,V_A_2) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_weak__coinduct,axiom,
% 191.91/192.14 ! [V_f_2,V_X_2,V_a_2,T_b] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.91/192.14 => ( 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)))
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_gfp__lemma3,axiom,
% 191.91/192.14 ! [V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_gfp__lemma2,axiom,
% 191.91/192.14 ! [V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => 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)))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_weak__coinduct__image,axiom,
% 191.91/192.14 ! [V_f_2,V_g_2,T_c,V_X_2,V_a_2,T_b] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2)),hAPP(V_f_2,hAPP(c_Set_Oimage(T_b,T_c,V_g_2),V_X_2))))
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_gfp__fun__UnI2,axiom,
% 191.91/192.14 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 191.91/192.14 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( 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)))
% 191.91/192.14 => 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))))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__coinduct,axiom,
% 191.91/192.14 ! [V_X_2,V_f_2,V_A_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(T_b,V_f_2)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => ( 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))))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_X_2),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_coinduct__lemma,axiom,
% 191.91/192.14 ! [V_f_2,V_X_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( 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)))))
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => 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))))) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_coinduct,axiom,
% 191.91/192.14 ! [V_X_2,V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => ( 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)))))
% 191.91/192.14 => 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))) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_coinduct3,axiom,
% 191.91/192.14 ! [V_X_2,V_a_2,V_f_2,T_b] :
% 191.91/192.14 ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.91/192.14 => ( 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))))))
% 191.91/192.14 => 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))) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__coinduct3,axiom,
% 191.91/192.14 ! [V_X_2,V_a_2,V_f_2,T_b,V_A_2] :
% 191.91/192.14 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.91/192.14 => ( 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)))))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__Collect__coinduct,axiom,
% 191.91/192.14 ! [V_X_2,V_a_2,V_Pa_2,T_b,V_A_2] :
% 191.91/192.14 ( 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))
% 191.91/192.14 => ( 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))
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_X_2))
% 191.91/192.14 => ( ! [B_z] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_z),V_X_2))
% 191.91/192.14 => 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)) )
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_coinduct3__lemma,axiom,
% 191.91/192.14 ! [V_f_2,V_X_2,T_b] :
% 191.91/192.14 ( 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))))))
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => 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)))))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_lfp__const,axiom,
% 191.91/192.14 ! [V_t_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => c_Inductive_Ocomplete__lattice__class_Olfp(T_b,hAPP(c_COMBK(T_b,T_b),V_t_2)) = V_t_2 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_lfp__lowerbound,axiom,
% 191.91/192.14 ! [V_A_2,V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_A_2)),V_A_2))
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__lfp__unfold,axiom,
% 191.91/192.14 ! [V_f_2,V_h_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( V_h_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => V_h_2 = hAPP(V_f_2,V_h_2) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_lfp__unfold,axiom,
% 191.91/192.14 ! [V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_lfp__lemma3,axiom,
% 191.91/192.14 ! [V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => 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)))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_lfp__lemma2,axiom,
% 191.91/192.14 ! [V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__lfp__induct,axiom,
% 191.91/192.14 ! [V_Pa_2,V_f_2,V_A_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(T_b,V_f_2)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => ( 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))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_A_2),V_Pa_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_lfp__induct,axiom,
% 191.91/192.14 ! [V_Pa_2,V_f_2,T_b] :
% 191.91/192.14 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(T_b,T_b,V_f_2)
% 191.91/192.14 => ( 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))
% 191.91/192.14 => 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)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_def__lfp__induct__set,axiom,
% 191.91/192.14 ! [V_Pa_2,V_a_2,V_f_2,T_b,V_A_2] :
% 191.91/192.14 ( V_A_2 = c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.14 => ( ! [B_x] :
% 191.91/192.14 ( 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)))))
% 191.91/192.14 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/192.14 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_lfp__induct__set,axiom,
% 191.91/192.14 ! [V_Pa_2,V_f_2,V_a_2,T_b] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 => ( c_Orderings_Oorder__class_Omono(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),V_f_2)
% 191.91/192.14 => ( ! [B_x] :
% 191.91/192.14 ( 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)))))
% 191.91/192.14 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 191.91/192.14 => hBOOL(hAPP(V_Pa_2,V_a_2)) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Max__eqI,axiom,
% 191.91/192.14 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( ! [B_y] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.14 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Min__eqI,axiom,
% 191.91/192.14 ! [V_x_2,V_A_2,T_b] :
% 191.91/192.14 ( class_Orderings_Olinorder(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.14 => ( ! [B_y] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.14 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_expand__Suc,axiom,
% 191.91/192.14 ! [V_v] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)))
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osize_I11_J,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osize_I3_J,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_setsum__ivl__cong,axiom,
% 191.91/192.14 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_c_2,V_a_2,T_b,T_c] :
% 191.91/192.14 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 191.91/192.14 & class_Orderings_Oord(T_b) )
% 191.91/192.14 => ( V_a_2 = V_c_2
% 191.91/192.14 => ( V_b_2 = V_d_2
% 191.91/192.14 => ( ! [B_x] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_c_2),B_x))
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 191.91/192.14 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 191.91/192.14 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_a_2),V_b_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_c_2),V_d_2)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__nat__number__of__eq,axiom,
% 191.91/192.14 ! [V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => 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) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__reorient,axiom,
% 191.91/192.14 ! [V_x_2,V_w_2,T_b] :
% 191.91/192.14 ( class_Int_Onumber(T_b)
% 191.91/192.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 191.91/192.14 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__number__of,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Int_Oring__char__0(T_b) )
% 191.91/192.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.91/192.14 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I2_J,axiom,
% 191.91/192.14 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 191.91/192.14 ( 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)
% 191.91/192.14 <=> ( V_loc_2 = V_loc_H_2
% 191.91/192.14 & V_fun_2 = V_fun_H_2
% 191.91/192.14 & V_com_2 = V_com_H_2 ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__nat__number__of__lemma,axiom,
% 191.91/192.14 ! [V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => ( ( 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)))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ 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)))
% 191.91/192.14 => 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) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__eq,axiom,
% 191.91/192.14 ! [V_k,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_of__int__number__of__eq,axiom,
% 191.91/192.14 ! [V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I41_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I40_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I39_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I38_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I37_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I36_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I35_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I34_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I10_J,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_com_Osimps_I11_J,axiom,
% 191.91/192.14 ! [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 ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__number__of__eq__not__less,axiom,
% 191.91/192.14 ! [V_w_2,V_v_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber(T_b)
% 191.91/192.14 & class_Orderings_Olinorder(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_right__distrib__number__of,axiom,
% 191.91/192.14 ! [V_c,V_b,V_v,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber(T_b)
% 191.91/192.14 & class_Rings_Osemiring(T_b) )
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_left__distrib__number__of,axiom,
% 191.91/192.14 ! [V_v,V_b,V_a,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber(T_b)
% 191.91/192.14 & class_Rings_Osemiring(T_b) )
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_left__diff__distrib__number__of,axiom,
% 191.91/192.14 ! [V_v,V_b,V_a,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber(T_b)
% 191.91/192.14 & class_Rings_Oring(T_b) )
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_a),V_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_right__diff__distrib__number__of,axiom,
% 191.91/192.14 ! [V_c,V_b,V_v,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber(T_b)
% 191.91/192.14 & class_Rings_Oring(T_b) )
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_b),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_b)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)),V_c)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__number__of,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__number__of,axiom,
% 191.91/192.14 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_min__number__of,axiom,
% 191.91/192.14 ! [V_v,V_u,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber(T_b)
% 191.91/192.14 & class_Orderings_Oord(T_b) )
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_max__number__of,axiom,
% 191.91/192.14 ! [V_v,V_u,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber(T_b)
% 191.91/192.14 & class_Orderings_Oord(T_b) )
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__number__of__left,axiom,
% 191.91/192.14 ! [V_z,V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__number__of__eq,axiom,
% 191.91/192.14 ! [V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__add,axiom,
% 191.91/192.14 ! [V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__mult,axiom,
% 191.91/192.14 ! [V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_arith__simps_I32_J,axiom,
% 191.91/192.14 ! [V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mult__number__of__left,axiom,
% 191.91/192.14 ! [V_z,V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_z)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w))),V_z) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__diff,axiom,
% 191.91/192.14 ! [V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_v),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__minus,axiom,
% 191.91/192.14 ! [V_w,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_arith__simps_I30_J,axiom,
% 191.91/192.14 ! [V_w,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Ints__number__of,axiom,
% 191.91/192.14 ! [V_w_2,T_b] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__divide__eq__number__of1,axiom,
% 191.91/192.14 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( V_a_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))
% 191.91/192.14 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 191.91/192.14 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__divide__eq__number__of,axiom,
% 191.91/192.14 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)
% 191.91/192.14 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) = V_b_2 )
% 191.91/192.14 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__eq__eq__number__of,axiom,
% 191.91/192.14 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 191.91/192.14 <=> ( ( V_c_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2) )
% 191.91/192.14 & ( V_c_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__eq__eq__number__of1,axiom,
% 191.91/192.14 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_a_2
% 191.91/192.14 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 191.91/192.14 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.14 => V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__number__of__diff1,axiom,
% 191.91/192.14 ! [V_c,V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_v)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)),V_c)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w))),V_c) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__number__of__mult,axiom,
% 191.91/192.14 ! [V_z,V_w,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__number__of__eq,axiom,
% 191.91/192.14 ! [V_w,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__less__eq__number__of1,axiom,
% 191.91/192.14 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__less__eq__number__of,axiom,
% 191.91/192.14 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__divide__eq__number__of,axiom,
% 191.91/192.14 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__divide__eq__number__of1,axiom,
% 191.91/192.14 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_abs__number__of,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_a) )
% 191.91/192.14 => ( ( 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)))
% 191.91/192.14 => 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)) )
% 191.91/192.14 & ( ~ 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)))
% 191.91/192.14 => 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) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__number__of__diff2,axiom,
% 191.91/192.14 ! [V_w,V_c,V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__divide__eq__number__of1,axiom,
% 191.91/192.14 ! [V_w_2,V_b_2,V_a_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__divide__eq__number__of,axiom,
% 191.91/192.14 ! [V_c_2,V_b_2,V_w_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__le__eq__number__of,axiom,
% 191.91/192.14 ! [V_w_2,V_c_2,V_b_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_c_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_c_2))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_c_2)),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_c_2),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__le__eq__number__of1,axiom,
% 191.91/192.14 ! [V_a_2,V_w_2,V_b_2,T_b] :
% 191.91/192.14 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.14 & class_Int_Onumber(T_b) )
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_a_2))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_a_2)) ) ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_one__mod__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/192.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/192.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_one__div__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_power__number__of__odd__number__of,axiom,
% 191.91/192.14 ! [V_v_2,V_w_2,T_b] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_power__nat__number__of__number__of,axiom,
% 191.91/192.14 ! [V_w,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__numeral__code_I5_J,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__number__of__Bit1,axiom,
% 191.91/192.14 ! [V_w_2] :
% 191.91/192.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 191.91/192.14 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_times__numeral__code_I5_J,axiom,
% 191.91/192.14 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_v),V_w)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__is__id,axiom,
% 191.91/192.14 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__number__of__int__code,axiom,
% 191.91/192.14 ! [V_l_2,V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__eq__number__of__int__code,axiom,
% 191.91/192.14 ! [V_l_2,V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_l_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_plus__numeral__code_I9_J,axiom,
% 191.91/192.14 ! [V_w,V_v] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_w)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I51_J,axiom,
% 191.91/192.14 ! [V_l_2,V_k_2] :
% 191.91/192.14 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 191.91/192.14 <=> V_k_2 = V_l_2 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I17_J,axiom,
% 191.91/192.14 ! [V_l_2,V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__int__code_I16_J,axiom,
% 191.91/192.14 ! [V_k2_2,V_k1_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__eq__int__code_I16_J,axiom,
% 191.91/192.14 ! [V_k2_2,V_k1_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I34_J,axiom,
% 191.91/192.14 ! [V_l_2,V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_int__number__of__def,axiom,
% 191.91/192.14 ! [V_w] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint),V_w) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_bin__less__0__simps_I4_J,axiom,
% 191.91/192.14 ! [V_w_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Bit1__def,axiom,
% 191.91/192.14 ! [V_k] : c_Int_OBit1(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k)),V_k) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of__def,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of__Bit1,axiom,
% 191.91/192.14 ! [V_w_2] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__Bit1,axiom,
% 191.91/192.14 ! [V_w,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_power__number__of__odd,axiom,
% 191.91/192.14 ! [V_z_2,V_w_2,T_b] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zpower__number__of__odd,axiom,
% 191.91/192.14 ! [V_z_2,V_w_2] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__numeral__code_I6_J,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__imp__number__of__eq__0,axiom,
% 191.91/192.14 ! [V_v] :
% 191.91/192.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_int__eq__iff__number__of,axiom,
% 191.91/192.14 ! [V_v_2,V_m_2] :
% 191.91/192.14 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)
% 191.91/192.14 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 191.91/192.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H_2,V_v_2] :
% 191.91/192.14 ( 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)
% 191.91/192.14 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 191.91/192.14 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 191.91/192.14 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of__add__left,axiom,
% 191.91/192.14 ! [V_k,V_v_H,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/192.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_k) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/192.14 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)),V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v),V_v_H))),V_k) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_int__nat__number__of,axiom,
% 191.91/192.14 ! [V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => 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) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mod__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/192.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 191.91/192.14 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_div__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_power__nat__number__of,axiom,
% 191.91/192.14 ! [V_n,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n) = hAPP(c_Int_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),V_n)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__nat__number__of__add,axiom,
% 191.91/192.14 ! [V_n,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),V_n)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v))),V_n) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_2,V_v_H_2] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 191.91/192.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 191.91/192.14 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_min__Suc__number__of,axiom,
% 191.91/192.14 ! [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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_min__number__of__Suc,axiom,
% 191.91/192.14 ! [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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I46_J,axiom,
% 191.91/192.14 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I39_J,axiom,
% 191.91/192.14 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_succ__Pls,axiom,
% 191.91/192.14 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__Pls,axiom,
% 191.91/192.14 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I19_J,axiom,
% 191.91/192.14 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I2_J,axiom,
% 191.91/192.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_succ__pred,axiom,
% 191.91/192.14 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Pls__def,axiom,
% 191.91/192.14 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__bin__simps_I1_J,axiom,
% 191.91/192.14 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mult__Pls,axiom,
% 191.91/192.14 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__Pls__right,axiom,
% 191.91/192.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__Pls,axiom,
% 191.91/192.14 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 191.91/192.14
% 191.91/192.14 fof(fact_semiring__norm_I112_J,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__Pls,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__numeral__0,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__numeral__0__right,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_bin__less__0__simps_I1_J,axiom,
% 191.91/192.14 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_semiring__norm_I113_J,axiom,
% 191.91/192.14 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of__Pls,axiom,
% 191.91/192.14 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_zero__is__num__zero,axiom,
% 191.91/192.14 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I22_J,axiom,
% 191.91/192.14 ! [V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I12_J,axiom,
% 191.91/192.14 ! [V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__diff__number__of,axiom,
% 191.91/192.14 ! [V_m,V_v] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 191.91/192.14 => 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))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_not__neg__number__of__Pls,axiom,
% 191.91/192.14 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of__add__1,axiom,
% 191.91/192.14 ! [V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__1__add__number__of,axiom,
% 191.91/192.14 ! [V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__iff__pred__less,axiom,
% 191.91/192.14 ! [V_l_2,V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_minus__Bit1,axiom,
% 191.91/192.14 ! [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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_pred__def,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of__diff__1,axiom,
% 191.91/192.14 ! [V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mult__numeral__1__right,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mult__numeral__1,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__Numeral0,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.14 & class_Int_Onumber__ring(T_a) )
% 191.91/192.14 => 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) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_numeral__1__eq__1,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_semiring__norm_I110_J,axiom,
% 191.91/192.14 ! [T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__number__of__0,axiom,
% 191.91/192.14 ! [V_v_2] :
% 191.91/192.14 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__0__number__of,axiom,
% 191.91/192.14 ! [V_v_2] :
% 191.91/192.14 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of2,axiom,
% 191.91/192.14 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))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I29_J,axiom,
% 191.91/192.14 ! [V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_rel__simps_I5_J,axiom,
% 191.91/192.14 ! [V_k_2] :
% 191.91/192.14 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H_2,V_v_2] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 191.91/192.14 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__numeral__1,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( ( class_Fields_Ofield(T_a)
% 191.91/192.14 & class_Int_Onumber__ring(T_a) )
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_divide__Numeral1,axiom,
% 191.91/192.14 ! [V_x,T_a] :
% 191.91/192.14 ( ( class_Fields_Ofield(T_a)
% 191.91/192.14 & class_Int_Onumber__ring(T_a) )
% 191.91/192.14 => 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 ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H_2,V_v_2] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 191.91/192.14 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_one__is__num__one,axiom,
% 191.91/192.14 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Numeral1__eq1__nat,axiom,
% 191.91/192.14 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__numeral__1__eq__1,axiom,
% 191.91/192.14 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 191.91/192.14 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_succ__def,axiom,
% 191.91/192.14 ! [V_k] : c_Int_Osucc(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__special_I3_J,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__special_I1_J,axiom,
% 191.91/192.14 ! [V_y_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__special_I3_J,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__special_I1_J,axiom,
% 191.91/192.14 ! [V_y_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__0__number__of,axiom,
% 191.91/192.14 ! [V_v_2] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_numeral__3__eq__3,axiom,
% 191.91/192.14 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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_numeral__1__eq__Suc__0,axiom,
% 191.91/192.14 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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_power3__eq__cube,axiom,
% 191.91/192.14 ! [V_a,T_a] :
% 191.91/192.14 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.14 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a)),V_a) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 191.91/192.14 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))))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc3__eq__add__3,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 191.91/192.14 => 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)) ) ) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 191.91/192.14 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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 191.91/192.14 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Nats__number__of,axiom,
% 191.91/192.14 ! [V_w_2,T_b] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 191.91/192.14 => 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))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__succ,axiom,
% 191.91/192.14 ! [V_k,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_Osucc(V_k)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_number__of__pred,axiom,
% 191.91/192.14 ! [V_w,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__special_I4_J,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__special_I2_J,axiom,
% 191.91/192.14 ! [V_y_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__special_I2_J,axiom,
% 191.91/192.14 ! [V_y_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__special_I4_J,axiom,
% 191.91/192.14 ! [V_x_2,T_b] :
% 191.91/192.14 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.14 & class_Rings_Olinordered__idom(T_b) )
% 191.91/192.14 => ( 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)))
% 191.91/192.14 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__special_I2_J,axiom,
% 191.91/192.14 ! [V_w,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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)) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_add__special_I3_J,axiom,
% 191.91/192.14 ! [V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 191.91/192.14 ! [V_m,V_n] :
% 191.91/192.14 ( 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))
% 191.91/192.14 => 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)))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__number__of__mult__left,axiom,
% 191.91/192.14 ! [V_k,V_v_H,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mult__nat__number__of,axiom,
% 191.91/192.14 ! [V_v_H,V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 191.91/192.14 => 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)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_neg__number__of__pred__iff__0,axiom,
% 191.91/192.14 ! [V_v_2] :
% 191.91/192.14 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 191.91/192.14 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 191.91/192.14 ! [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) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 191.91/192.14 ! [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)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_div__Suc__eq__div__add3,axiom,
% 191.91/192.14 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_n)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_n)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__div__eq__add3__div,axiom,
% 191.91/192.14 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),V_n) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),V_n) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 191.91/192.14 ! [V_v,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__special_I1_J,axiom,
% 191.91/192.14 ! [V_w,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_diff__special_I2_J,axiom,
% 191.91/192.14 ! [V_v,T_a] :
% 191.91/192.14 ( class_Int_Onumber__ring(T_a)
% 191.91/192.14 => 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)))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__eq__number__of,axiom,
% 191.91/192.14 ! [V_v_2,V_n_2] :
% 191.91/192.14 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 191.91/192.14 <=> 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))))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_eq__number__of__Suc,axiom,
% 191.91/192.14 ! [V_n_2,V_v_2] :
% 191.91/192.14 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 191.91/192.14 <=> 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))))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__case__number__of,axiom,
% 191.91/192.14 ! [V_v_2,V_f_2,V_a_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_a_2,V_f_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__number__of__Suc,axiom,
% 191.91/192.14 ! [V_n_2,V_v_2] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> 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)))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_less__Suc__number__of,axiom,
% 191.91/192.14 ! [V_v_2,V_n_2] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> 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))))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__number__of__Suc,axiom,
% 191.91/192.14 ! [V_n_2,V_v_2] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> 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)))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_le__Suc__number__of,axiom,
% 191.91/192.14 ! [V_v_2,V_n_2] :
% 191.91/192.14 ( 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)))
% 191.91/192.14 <=> 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))))) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_Suc__nat__number__of,axiom,
% 191.91/192.14 ! [V_v] :
% 191.91/192.14 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 191.91/192.14 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.14 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_Osucc(V_v)) ) ) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_max__number__of__Suc,axiom,
% 191.91/192.14 ! [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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_max__Suc__number__of,axiom,
% 191.91/192.14 ! [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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__case__add__eq__if,axiom,
% 191.91/192.14 ! [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)))) ).
% 191.91/192.14
% 191.91/192.14 fof(fact_nat__rec__add__eq__if,axiom,
% 191.91/192.15 ! [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))))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_eq__special_I4_J,axiom,
% 191.91/192.15 ! [V_x_2,T_b] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 191.91/192.15 <=> 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))))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_eq__special_I2_J,axiom,
% 191.91/192.15 ! [V_y_2,T_b] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.91/192.15 <=> 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)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__rec__number__of,axiom,
% 191.91/192.15 ! [V_v_2,V_f_2,V_a_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,T_b,tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),c_Nat__Numeral_Oneg)),V_a_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,T_b,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,T_b),tc_Int_Oint),V_f_2),c_Int_Onat)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),c_Nat_Onat_Onat__rec(T_b,V_a_2,V_f_2)),c_Int_Onat)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_iszero__0,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.15 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_iszero__def,axiom,
% 191.91/192.15 ! [V_z_2,T_b] :
% 191.91/192.15 ( class_Rings_Osemiring__1(T_b)
% 191.91/192.15 => ( c_Int_Oiszero(T_b,V_z_2)
% 191.91/192.15 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_not__iszero__1,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.15 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__rec__0,axiom,
% 191.91/192.15 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__rec__Suc,axiom,
% 191.91/192.15 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_iszero__Numeral0,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_iszero__number__of__Bit1,axiom,
% 191.91/192.15 ! [V_w,T_a] :
% 191.91/192.15 ( ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 & class_Int_Oring__char__0(T_a) )
% 191.91/192.15 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_not__iszero__Numeral1,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_eq__number__of__eq,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.91/192.15 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_eq__special_I1_J,axiom,
% 191.91/192.15 ! [V_y_2,T_b] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 191.91/192.15 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_y_2)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_eq__special_I3_J,axiom,
% 191.91/192.15 ! [V_x_2,T_b] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.15 <=> 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)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_neg__zmod__mult__2,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => 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)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zmod__number__of__Bit1,axiom,
% 191.91/192.15 ! [V_v,V_w] :
% 191.91/192.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => 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)) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => 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)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_arith__series__int,axiom,
% 191.91/192.15 ! [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)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_neg__zdiv__mult__2,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I50_J,axiom,
% 191.91/192.15 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I49_J,axiom,
% 191.91/192.15 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_minus__Bit0,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I31_J,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__eq__int__code_I13_J,axiom,
% 191.91/192.15 ! [V_k2_2,V_k1_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__int__code_I13_J,axiom,
% 191.91/192.15 ! [V_k2_2,V_k1_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I14_J,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__Bit0__Bit0,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Bit0__def,axiom,
% 191.91/192.15 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I48_J,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 191.91/192.15 <=> V_k_2 = V_l_2 ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I7_J,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mult__Bit0,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit0(V_k)),V_l) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I44_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 191.91/192.15 <=> V_k_2 = c_Int_OPls ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I38_J,axiom,
% 191.91/192.15 ! [V_l_2] :
% 191.91/192.15 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 191.91/192.15 <=> c_Int_OPls = V_l_2 ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Bit0__Pls,axiom,
% 191.91/192.15 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 191.91/192.15
% 191.91/192.15 fof(fact_bin__less__0__simps_I3_J,axiom,
% 191.91/192.15 ! [V_w_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_w_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I21_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I27_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I32_J,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__eq__int__code_I14_J,axiom,
% 191.91/192.15 ! [V_k2_2,V_k1_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I4_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I10_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I16_J,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__int__code_I15_J,axiom,
% 191.91/192.15 ! [V_k2_2,V_k1_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__Bit1__Bit0,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__Bit0__Bit1,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_l)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I3_J,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I10_J,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I9_J,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit0(V_l)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),V_l)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zdiv__number__of__Bit0,axiom,
% 191.91/192.15 ! [V_w,V_v] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_neg__number__of__Bit0,axiom,
% 191.91/192.15 ! [V_w_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 191.91/192.15 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pred__Bit0,axiom,
% 191.91/192.15 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pred__Bit1,axiom,
% 191.91/192.15 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_iszero__number__of__Bit0,axiom,
% 191.91/192.15 ! [V_w_2,T_b] :
% 191.91/192.15 ( ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 & class_Int_Oring__char__0(T_b) )
% 191.91/192.15 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 191.91/192.15 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_succ__Bit1,axiom,
% 191.91/192.15 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_succ__Bit0,axiom,
% 191.91/192.15 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__number__of__Bit0,axiom,
% 191.91/192.15 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_number__of__Bit0,axiom,
% 191.91/192.15 ! [V_w,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__eq__int__code_I15_J,axiom,
% 191.91/192.15 ! [V_k2_2,V_k1_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I33_J,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__int__code_I14_J,axiom,
% 191.91/192.15 ! [V_k2_2,V_k1_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I15_J,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_card__UNIV__bool,axiom,
% 191.91/192.15 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mult__Bit1,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OBit1(V_k)),V_l) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_k),V_l))),V_l) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I8_J,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__Bit1__Bit1,axiom,
% 191.91/192.15 ! [V_l,V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OBit1(V_k)),c_Int_OBit1(V_l)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_Osucc(V_l))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__number__of__even,axiom,
% 191.91/192.15 ! [V_w_2,V_z_2,T_b] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zpower__number__of__even,axiom,
% 191.91/192.15 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_double__number__of__Bit0,axiom,
% 191.91/192.15 ! [V_w,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_w)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(V_w)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_number__of1,axiom,
% 191.91/192.15 ! [V_n] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_n)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_n))))
% 191.91/192.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_n)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 191.91/192.15 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__number__of__even__number__of,axiom,
% 191.91/192.15 ! [V_w_2,V_v_2,T_b] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_b)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mult__2__right,axiom,
% 191.91/192.15 ! [V_z,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mult__2,axiom,
% 191.91/192.15 ! [V_z,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_one__add__one__is__two,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => 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))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zero__power2,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zero__eq__power2,axiom,
% 191.91/192.15 ! [V_a_2,T_b] :
% 191.91/192.15 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.91/192.15 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.15 <=> V_a_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_semiring__norm_I115_J,axiom,
% 191.91/192.15 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))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_numeral__2__eq__2,axiom,
% 191.91/192.15 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))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__eq__square,axiom,
% 191.91/192.15 ! [V_a,T_a] :
% 191.91/192.15 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 191.91/192.15 ! [V_x,T_a] :
% 191.91/192.15 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 191.91/192.15 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))))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__2__eq__Suc_H,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__2__eq__Suc,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_one__power2,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__minus,axiom,
% 191.91/192.15 ! [V_a,T_a] :
% 191.91/192.15 ( class_Rings_Oring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__mult__2__right,axiom,
% 191.91/192.15 ! [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) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__mult__2,axiom,
% 191.91/192.15 ! [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) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__even__eq,axiom,
% 191.91/192.15 ! [V_n,V_a,T_a] :
% 191.91/192.15 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 191.91/192.15 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)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 191.91/192.15 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__abs,axiom,
% 191.91/192.15 ! [V_a,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_abs__power2,axiom,
% 191.91/192.15 ! [V_a,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__1__add__1,axiom,
% 191.91/192.15 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))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod2__Suc__Suc,axiom,
% 191.91/192.15 ! [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)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_div2__Suc__Suc,axiom,
% 191.91/192.15 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,V_m))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zmod__number__of__Bit0,axiom,
% 191.91/192.15 ! [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))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__self__div__2,axiom,
% 191.91/192.15 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = V_m ).
% 191.91/192.15
% 191.91/192.15 fof(fact_half__gt__zero__iff,axiom,
% 191.91/192.15 ! [V_r_2,T_b] :
% 191.91/192.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 191.91/192.15 & class_Int_Onumber__ring(T_b) )
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_r_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_half__gt__zero,axiom,
% 191.91/192.15 ! [V_r,T_a] :
% 191.91/192.15 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 191.91/192.15 & class_Int_Onumber__ring(T_a) )
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_r),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zero__le__power2,axiom,
% 191.91/192.15 ! [V_a,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__le__imp__le,axiom,
% 191.91/192.15 ! [V_y,V_x,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__eq__imp__eq,axiom,
% 191.91/192.15 ! [V_y,V_x,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.15 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.15 => V_x = V_y ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__less__0,axiom,
% 191.91/192.15 ! [V_a,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zero__less__power2,axiom,
% 191.91/192.15 ! [V_a_2,T_b] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.91/192.15 <=> V_a_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sum__power2__eq__zero__iff,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.15 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.15 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.15 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__eq__square__number__of,axiom,
% 191.91/192.15 ! [V_w,T_b] :
% 191.91/192.15 ( ( class_Groups_Omonoid__mult(T_b)
% 191.91/192.15 & class_Int_Onumber(T_b) )
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__2__cases,axiom,
% 191.91/192.15 ! [V_n] :
% 191.91/192.15 ( 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)))))
% 191.91/192.15 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.15 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__2,axiom,
% 191.91/192.15 hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(c_Nat_OSuc,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__eq__1__iff,axiom,
% 191.91/192.15 ! [V_a_2,T_b] :
% 191.91/192.15 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 191.91/192.15 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_a_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(T_b)
% 191.91/192.15 <=> ( V_a_2 = c_Groups_Oone__class_Oone(T_b)
% 191.91/192.15 | V_a_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 191.91/192.15 ! [V_n,V_x,T_a] :
% 191.91/192.15 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__minus__even,axiom,
% 191.91/192.15 ! [V_n,V_a,T_a] :
% 191.91/192.15 ( class_Rings_Oring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__less__imp__less,axiom,
% 191.91/192.15 ! [V_y,V_x,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__semidom(T_a)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sum__power2__le__zero__iff,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_b)))
% 191.91/192.15 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.15 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sum__power2__ge__zero,axiom,
% 191.91/192.15 ! [V_y,V_x,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sum__power2__gt__zero__iff,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,T_b] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_b)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_y_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))))
% 191.91/192.15 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 191.91/192.15 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_not__sum__power2__lt__zero,axiom,
% 191.91/192.15 ! [V_y,V_x,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__sum,axiom,
% 191.91/192.15 ! [V_y,V_x,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zero__le__even__power_H,axiom,
% 191.91/192.15 ! [V_n,V_a,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__odd__eq,axiom,
% 191.91/192.15 ! [V_n,V_a,T_a] :
% 191.91/192.15 ( class_Groups_Omonoid__mult(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 191.91/192.15 ! [V_n,V_x,T_a] :
% 191.91/192.15 ( class_Rings_Ocomm__semiring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),V_n))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__minus1__even,axiom,
% 191.91/192.15 ! [V_n,T_a] :
% 191.91/192.15 ( class_Rings_Oring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zdiv__number__of__Bit1,axiom,
% 191.91/192.15 ! [V_v,V_w] :
% 191.91/192.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_v))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Groups_Oone__class_Oone(tc_Int_Oint))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod2__gr__0,axiom,
% 191.91/192.15 ! [V_m_2] :
% 191.91/192.15 ( 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))))))
% 191.91/192.15 <=> 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_div__2__gt__zero,axiom,
% 191.91/192.15 ! [V_n] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power2__diff,axiom,
% 191.91/192.15 ! [V_y,V_x,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_x),V_y)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_y),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_x)),V_y)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 191.91/192.15 ! [V_n,V_a,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_odd__power__less__zero,axiom,
% 191.91/192.15 ! [V_n,V_a,T_a] :
% 191.91/192.15 ( class_Rings_Olinordered__idom(T_a)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)))),c_Groups_Ozero__class_Ozero(T_a))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__minus1__odd,axiom,
% 191.91/192.15 ! [V_n,T_a] :
% 191.91/192.15 ( class_Rings_Oring__1(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 191.91/192.15 ! [V_n] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_of__nat__double,axiom,
% 191.91/192.15 ! [V_x,T_a] :
% 191.91/192.15 ( class_Rings_Osemiring__1(T_a)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 191.91/192.15 => 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))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pos__zmod__mult__2,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => 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))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pos__zdiv__mult__2,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_int__of__code,axiom,
% 191.91/192.15 ! [V_k] :
% 191.91/192.15 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/192.15 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/192.15 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/192.15 => ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/192.15 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )
% 191.91/192.15 & ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_k,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/192.15 => hAPP(c_Code__Numeral_Oint__of,V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Code__Numeral_Oint__of,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_k),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))),c_Groups_Oone__class_Oone(tc_Int_Oint)) ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_of__int__num,axiom,
% 191.91/192.15 ! [V_k_2,T_b] :
% 191.91/192.15 ( class_Rings_Oring__1(T_b)
% 191.91/192.15 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 191.91/192.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__m1__odd,axiom,
% 191.91/192.15 ! [V_n,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n))) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_power__m1__even,axiom,
% 191.91/192.15 ! [V_n,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I42_J,axiom,
% 191.91/192.15 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I45_J,axiom,
% 191.91/192.15 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I40_J,axiom,
% 191.91/192.15 c_Int_OMin != c_Int_OPls ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I37_J,axiom,
% 191.91/192.15 c_Int_OPls != c_Int_OMin ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral__zero__minus__one,axiom,
% 191.91/192.15 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) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I7_J,axiom,
% 191.91/192.15 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I24_J,axiom,
% 191.91/192.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Bit1__Min,axiom,
% 191.91/192.15 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I43_J,axiom,
% 191.91/192.15 ! [V_l_2] :
% 191.91/192.15 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 191.91/192.15 <=> c_Int_OMin = V_l_2 ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I47_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 191.91/192.15 <=> V_k_2 = c_Int_OMin ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_bin__less__0__simps_I2_J,axiom,
% 191.91/192.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I20_J,axiom,
% 191.91/192.15 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I23_J,axiom,
% 191.91/192.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I30_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I26_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I3_J,axiom,
% 191.91/192.15 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I6_J,axiom,
% 191.91/192.15 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I13_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I9_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I28_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I8_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_eq__number__of__Pls__Min,axiom,
% 191.91/192.15 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) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Int_OMin__def,axiom,
% 191.91/192.15 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mult__Min,axiom,
% 191.91/192.15 ! [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) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_neg__number__of__Min,axiom,
% 191.91/192.15 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pred__Pls,axiom,
% 191.91/192.15 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__Min,axiom,
% 191.91/192.15 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_add__Min__right,axiom,
% 191.91/192.15 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pred__Min,axiom,
% 191.91/192.15 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nonzero__number__of__Min,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_succ__Min,axiom,
% 191.91/192.15 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I2_J,axiom,
% 191.91/192.15 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mult__minus1__right,axiom,
% 191.91/192.15 ! [V_z,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mult__minus1,axiom,
% 191.91/192.15 ! [V_z,T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_arith__simps_I31_J,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_number__of__Min,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => 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)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_abs__minus__one,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 & class_Rings_Olinordered__idom(T_a) )
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divide__minus1,axiom,
% 191.91/192.15 ! [V_x,T_a] :
% 191.91/192.15 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.15 & class_Int_Onumber__ring(T_a) )
% 191.91/192.15 => 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) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I25_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rel__simps_I11_J,axiom,
% 191.91/192.15 ! [V_k_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zmod__minus1__right,axiom,
% 191.91/192.15 ! [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) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I4_J,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_minus__Min,axiom,
% 191.91/192.15 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 191.91/192.15 ! [V_n,V_m] :
% 191.91/192.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.91/192.15 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.91/192.15 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zmult__eq__1__iff,axiom,
% 191.91/192.15 ! [V_n_2,V_m_2] :
% 191.91/192.15 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.91/192.15 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 191.91/192.15 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 191.91/192.15 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 191.91/192.15 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I6_J,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_diff__bin__simps_I5_J,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_of__int__m1,axiom,
% 191.91/192.15 ! [T_a] :
% 191.91/192.15 ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 => hAPP(c_Int_Oring__1__class_Oof__int(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zdiv__minus1__right,axiom,
% 191.91/192.15 ! [V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zero__code__numeral__code,axiom,
% 191.91/192.15 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) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_minus1__divide,axiom,
% 191.91/192.15 ! [V_x,T_a] :
% 191.91/192.15 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 191.91/192.15 & class_Int_Onumber__ring(T_a) )
% 191.91/192.15 => 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)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_abs__power__minus__one,axiom,
% 191.91/192.15 ! [V_n,T_a] :
% 191.91/192.15 ( ( class_Int_Onumber__ring(T_a)
% 191.91/192.15 & class_Rings_Olinordered__idom(T_a) )
% 191.91/192.15 => hAPP(c_Groups_Oabs__class_Oabs(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)),V_n)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_div__eq__minus1,axiom,
% 191.91/192.15 ! [V_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_div__pos__neg__trivial,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zmod__minus1,axiom,
% 191.91/192.15 ! [V_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => 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)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_one__code__numeral__code,axiom,
% 191.91/192.15 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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_int__ge__less__than2__def,axiom,
% 191.91/192.15 ! [V_d_2] : c_Int_Oint__ge__less__than2(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_int__ge__less__than__def,axiom,
% 191.91/192.15 ! [V_d_2] : c_Int_Oint__ge__less__than(V_d_2) = hAPP(c_Set_OCollect(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_d_2)))),c_Orderings_Oord__class_Oless(tc_Int_Oint)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral_Osize_I1_J,axiom,
% 191.91/192.15 c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__of__aux__code,axiom,
% 191.91/192.15 ! [V_n,V_i] :
% 191.91/192.15 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/192.15 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 191.91/192.15 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 191.91/192.15 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),hAPP(c_Nat_OSuc,V_n)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__rel__def,axiom,
% 191.91/192.15 ! [V_b_2,V_a_2] : c_Divides_Odivmod__int__rel(V_a_2,V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fequal,V_a_2))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b_2)))))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),hAPP(c_fimplies,hAPP(c_fNot,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_Orderings_Oord__class_Oless__eq(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nitpick_Oprod__def,axiom,
% 191.91/192.15 ! [V_B_2,V_A_2,T_c,T_b] : c_Nitpick_Oprod(T_b,T_c,V_A_2,V_B_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_B_2)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__correct,axiom,
% 191.91/192.15 ! [V_a,V_b] :
% 191.91/192.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nitpick_OFrac__def,axiom,
% 191.91/192.15 c_Nitpick_OFrac = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool)),tc_Int_Oint),hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_HOL_Obool),tc_Int_Oint),c_fequal)),c_Nitpick_Oint__gcd))),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 191.91/192.15 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.15 => ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_y_2)
% 191.91/192.15 => c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,V_A_2,hAPP(hAPP(V_f_2,V_x_2),V_y_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral_Osize_I2_J,axiom,
% 191.91/192.15 ! [V_code__numeral] : c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral_Oinject,axiom,
% 191.91/192.15 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 191.91/192.15 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 191.91/192.15 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 191.91/192.15 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 191.91/192.15 ! [V_code__numeral_H_1] : c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_1) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 191.91/192.15 ! [V_a2_2,V_a1_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_a1_2,V_a2_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_a2_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 191.91/192.15 ! [V_z_2,V_f_2,T_c,T_b] : c_Nitpick_Ofold__graph_H(T_b,T_c,V_f_2,V_z_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_z_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Suc__code__numeral__minus__one,axiom,
% 191.91/192.15 ! [V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_n)),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = V_n ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral_Osize_I4_J,axiom,
% 191.91/192.15 ! [V_code__numeral] : hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Code__Numeral_OSuc__code__numeral(V_code__numeral)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),V_code__numeral)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 191.91/192.15 ! [V_y,V_x] : hAPP(hAPP(c_Nitpick_Oint__gcd,V_x),V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__gcd(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zmult2__lemma,axiom,
% 191.91/192.15 ! [V_c,V_r,V_q,V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_q,V_c))),V_r)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pred__subset__eq2,axiom,
% 191.91/192.15 ! [V_S_2,V_R_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pred__equals__eq2,axiom,
% 191.91/192.15 ! [V_S_2,V_R_2,T_c,T_b] :
% 191.91/192.15 ( hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2) = hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)
% 191.91/192.15 <=> V_R_2 = V_S_2 ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_bot__empty__eq2,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_inf__Int__eq2,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sup__Un__eq2,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_R_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_S_2)),V_x_2),V_y_2))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_R_2),V_S_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_unique__remainder,axiom,
% 191.91/192.15 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 191.91/192.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => V_r = V_r_H ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_unique__quotient,axiom,
% 191.91/192.15 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_H),V_r_H)))
% 191.91/192.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => V_q = V_q_H ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_self__remainder,axiom,
% 191.91/192.15 ! [V_r,V_q,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__rel__0,axiom,
% 191.91/192.15 ! [V_b] :
% 191.91/192.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_SUP__UN__eq2,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),T_b),hAPP(c_COMBC(T_c,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_fun(T_d,tc_HOL_Obool)),T_c),c_COMBC(T_d,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool)),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),tc_fun(tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool),tc_HOL_Obool),T_d),c_member(tc_prod(T_c,T_d)))),c_Product__Type_OPair(T_c,T_d))))),V_r_2)),V_x_2),V_y_2))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_x_2),V_y_2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_c,T_d),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_self__quotient,axiom,
% 191.91/192.15 ! [V_r,V_q,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_a),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__rel__mod,axiom,
% 191.91/192.15 ! [V_r,V_q,V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__rel__div,axiom,
% 191.91/192.15 ! [V_r,V_q,V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__mod__div,axiom,
% 191.91/192.15 ! [V_q,V_p] : c_Divides_Odivmod__int(V_p,V_q) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_p),V_q)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_p,V_q)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__rel__div__mod,axiom,
% 191.91/192.15 ! [V_a,V_b] :
% 191.91/192.15 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_nat__gcd_Osimps,axiom,
% 191.91/192.15 ! [V_x,V_y] :
% 191.91/192.15 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.15 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 191.91/192.15 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.15 => c_Nitpick_Onat__gcd(V_x,V_y) = c_Nitpick_Onat__gcd(V_y,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zadd1__lemma,axiom,
% 191.91/192.15 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aq),V_ar)))
% 191.91/192.15 => ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_bq),V_br)))
% 191.91/192.15 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_ar),V_br),V_c)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zminus1__lemma,axiom,
% 191.91/192.15 ! [V_r_2,V_q_2,V_b_2,V_a_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint)))),hAPP(hAPP(hAPP(c_If(tc_Int_Oint),hAPP(hAPP(c_fequal,V_r_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b_2),V_r_2))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__relI,axiom,
% 191.91/192.15 ! [V_r,V_q,V_b,V_a] :
% 191.91/192.15 ( V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_b),V_q)),V_r)
% 191.91/192.15 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 191.91/192.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 191.91/192.15 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_code__numeral_Osize_I3_J,axiom,
% 191.91/192.15 hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_zmult1__lemma,axiom,
% 191.91/192.15 ! [V_a,V_r,V_q,V_c,V_b] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)))
% 191.91/192.15 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_a),V_r),V_c)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pair__imageI,axiom,
% 191.91/192.15 ! [V_f_2,T_d,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_A_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_a_2),V_b_2)),hAPP(c_Set_Oimage(tc_prod(T_b,T_c),T_d,hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),V_A_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_norm__frac_Osimps,axiom,
% 191.91/192.15 ! [V_a_2,V_b_2] :
% 191.91/192.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/192.15 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 191.91/192.15 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/192.15 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_adjust__def,axiom,
% 191.91/192.15 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sup2E,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.91/192.15 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sup2CI,axiom,
% 191.91/192.15 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 191.91/192.15 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_inf2E,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.91/192.15 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/192.15 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_inf2I,axiom,
% 191.91/192.15 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mem__splitI,axiom,
% 191.91/192.15 ! [T_d,T_c,V_b_2,V_a_2,V_c_2,V_z_2,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,V_a_2),V_b_2)))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_splitI,axiom,
% 191.91/192.15 ! [T_c,T_b,V_b_2,V_a_2,V_f_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_prod__caseI,axiom,
% 191.91/192.15 ! [T_c,T_b,V_b_2,V_a_2,V_f1_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(V_f1_2,V_a_2),V_b_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_bot2E,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,T_c,T_b] : ~ hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_x_2),V_y_2)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_splitD_H,axiom,
% 191.91/192.15 ! [V_c_2,V_b_2,V_a_2,V_R_2,T_d,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_R_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_c_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_a_2),V_b_2),V_c_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sup2I1,axiom,
% 191.91/192.15 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_sup2I2,axiom,
% 191.91/192.15 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_inf2D2,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_inf2D1,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_A_2),V_B_2),V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_predicate2D,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] :
% 191.91/192.15 ( 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))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_rev__predicate2D,axiom,
% 191.91/192.15 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 191.91/192.15 => ( 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))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_less__by__empty,axiom,
% 191.91/192.15 ! [V_B_2,T_b,V_A_2] :
% 191.91/192.15 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Pair__inject,axiom,
% 191.91/192.15 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 191.91/192.15 ( hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a_H),V_b_H)
% 191.91/192.15 => ~ ( V_a = V_a_H
% 191.91/192.15 => V_b != V_b_H ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Pair__eq,axiom,
% 191.91/192.15 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/192.15 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 191.91/192.15 <=> ( V_a_2 = V_a_H_2
% 191.91/192.15 & V_b_2 = V_b_H_2 ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_split__paired__All,axiom,
% 191.91/192.15 ! [T_c,T_b,V_Pa_2] :
% 191.91/192.15 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 191.91/192.15 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_split__weak__cong,axiom,
% 191.91/192.15 ! [V_c_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 191.91/192.15 ( V_p_2 = V_q_2
% 191.91/192.15 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_c_2),V_q_2) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_split__twice,axiom,
% 191.91/192.15 ! [V_p_2,V_g_2,T_f,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,tc_prod(T_c,T_d)),V_g_2),V_p_2)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_f,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_f,tc_prod(T_c,T_d)),tc_fun(T_f,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_f),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2))),V_g_2)),V_p_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_split__conv,axiom,
% 191.91/192.15 ! [V_b_2,V_a_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f_2,V_a_2),V_b_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_prod_Osimps_I2_J,axiom,
% 191.91/192.15 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f1_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_splitD,axiom,
% 191.91/192.15 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_f_2,V_a_2),V_b_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_split__eta,axiom,
% 191.91/192.15 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,T_d),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),T_d,T_c),V_f_2)),c_Product__Type_OPair(T_b,T_c))) = V_f_2 ).
% 191.91/192.15
% 191.91/192.15 fof(fact_The__split__eq,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(c_fequal,V_x_2)))),hAPP(c_fequal,V_y_2)))) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_split__paired__The,axiom,
% 191.91/192.15 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_2) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,T_c),V_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_adjust__eq,axiom,
% 191.91/192.15 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_in__rel__def,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 191.91/192.15 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_R_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_div__mod__code__numeral__def,axiom,
% 191.91/192.15 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 191.91/192.15 ! [V_w] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 191.91/192.15 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 191.91/192.15 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg__correct,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg__div__mod,axiom,
% 191.91/192.15 ! [V_l,V_k] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/192.15 => c_Divides_OnegDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg__minus1,axiom,
% 191.91/192.15 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg_Osimps,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 191.91/192.15 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg__eqn__number__of,axiom,
% 191.91/192.15 ! [V_w,V_v] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 191.91/192.15 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 191.91/192.15 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg__eqn,axiom,
% 191.91/192.15 ! [V_a,V_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.91/192.15 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 191.91/192.15 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 191.91/192.15 ! [V_y,V_x] : c_Nitpick_Onat__lcm(V_x,V_y) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x),V_y)),c_Nitpick_Onat__gcd(V_x,V_y)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nitpick_Orefl_H__def,axiom,
% 191.91/192.15 ! [V_r_2,T_b] :
% 191.91/192.15 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 191.91/192.15 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 191.91/192.15 ! [V_w] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg__0,axiom,
% 191.91/192.15 ! [V_b] : c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg__correct,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg__div__mod,axiom,
% 191.91/192.15 ! [V_l,V_k] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 191.91/192.15 => c_Divides_OposDivAlg(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l)),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg__eqn__number__of,axiom,
% 191.91/192.15 ! [V_w,V_v] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.15 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 191.91/192.15 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg__eqn,axiom,
% 191.91/192.15 ! [V_a,V_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/192.15 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/192.15 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg_Osimps,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 191.91/192.15 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 191.91/192.15 ! [V_y,V_x] : c_Nitpick_Oint__lcm(V_x,V_y) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Nitpick_Onat__lcm(hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_x)),hAPP(c_Int_Onat,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_y)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__def,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 191.91/192.15 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => c_Divides_Odivmod__int(V_a,V_b) = hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b))) ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__step,axiom,
% 191.91/192.15 ! [V_m,V_n] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 191.91/192.15 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__zero,axiom,
% 191.91/192.15 ! [V_m] : c_Divides_Odivmod__nat(V_m,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__base,axiom,
% 191.91/192.15 ! [V_n,V_m] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 191.91/192.15 => c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negateSnd__eq,axiom,
% 191.91/192.15 ! [V_r,V_q] : hAPP(c_Divides_OnegateSnd,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),V_r)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_r)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__div__mod,axiom,
% 191.91/192.15 ! [V_n,V_m] : c_Divides_Odivmod__nat(V_m,V_n) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__rel__neg,axiom,
% 191.91/192.15 ! [V_qr,V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)),V_qr))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__if,axiom,
% 191.91/192.15 ! [V_m_2,V_n_2] :
% 191.91/192.15 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 191.91/192.15 => 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) )
% 191.91/192.15 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 191.91/192.15 => 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)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__pdivmod,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 191.91/192.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 191.91/192.15 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fdisj,hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l_2)),hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))),hAPP(hAPP(c_fconj,hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_l_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 191.91/192.15 ! [V_c,V_r,V_q,V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_b),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_q),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 191.91/192.15 ! [V_a,V_r,V_q,V_c,V_b] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_q)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_a),V_r),V_c)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_apsnd__conv,axiom,
% 191.91/192.15 ! [V_y_2,V_x_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),hAPP(V_f_2,V_y_2)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__rel__unique,axiom,
% 191.91/192.15 ! [V_qr_H,V_qr,V_n,V_m] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 191.91/192.15 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 191.91/192.15 => V_qr = V_qr_H ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_apsnd__compose,axiom,
% 191.91/192.15 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_d,T_b,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_b,hAPP(c_Fun_Ocomp(T_d,T_c,T_e,V_f_2),V_g_2)),V_x_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 191.91/192.15 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__eq,axiom,
% 191.91/192.15 ! [V_qr,V_n,V_m] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 191.91/192.15 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__def,axiom,
% 191.91/192.15 ! [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)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__eq,axiom,
% 191.91/192.15 ! [V_r,V_q,V_n,V_m] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_div__eq,axiom,
% 191.91/192.15 ! [V_r,V_q,V_n,V_m] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_q),V_r)))
% 191.91/192.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negateSnd__def,axiom,
% 191.91/192.15 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__rel,axiom,
% 191.91/192.15 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 191.91/192.15 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_a,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_aq),V_ar)))
% 191.91/192.15 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_b,V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_bq),V_br)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 191.91/192.15 => hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_a),V_b),V_c),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aq),V_bq)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br)),V_c))),c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_ar),V_br),V_c)))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pdivmod__def,axiom,
% 191.91/192.15 ! [V_l,V_k] : c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))),c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l))) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pdivmod__posDivAlg,axiom,
% 191.91/192.15 ! [V_k,V_l] :
% 191.91/192.15 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Opdivmod(V_k,V_l) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k)) )
% 191.91/192.15 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Opdivmod(V_k,V_l) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_k),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_divmod__int__code,axiom,
% 191.91/192.15 ! [V_l_2,V_k_2] :
% 191.91/192.15 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )
% 191.91/192.15 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2) )
% 191.91/192.15 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 => c_Divides_Odivmod__int(V_k_2,V_l_2) = hAPP(c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),hAPP(hAPP(hAPP(c_If(tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_fequal,c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_k_2)),c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_l_2))),c_Divides_Opdivmod(V_k_2,V_l_2)),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_l_2))))),c_Divides_Opdivmod(V_k_2,V_l_2)))) ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg_Opsimps,axiom,
% 191.91/192.15 ! [V_b_2,V_a_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.15 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)) )
% 191.91/192.15 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OnegDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg_Opsimps,axiom,
% 191.91/192.15 ! [V_b_2,V_a_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.15 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a_2) )
% 191.91/192.15 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a_2),V_b_2))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => c_Divides_OposDivAlg(V_a_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_a_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b_2))) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__pos__neg__1__number__of,axiom,
% 191.91/192.15 ! [V_w] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_snd__def,axiom,
% 191.91/192.15 ! [V_p_2,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_b),hAPP(c_COMBK(tc_fun(T_b,T_b),T_c),c_COMBI(T_b))),V_p_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_snd__apsnd,axiom,
% 191.91/192.15 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapsnd(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_apsnd__eq__conv,axiom,
% 191.91/192.15 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 191.91/192.15 ( hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_g_2),V_x_2)
% 191.91/192.15 <=> hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_d),V_x_2)) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_snd__conv,axiom,
% 191.91/192.15 ! [V_b,V_a,T_a,T_b] : hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_a),V_b)) = V_b ).
% 191.91/192.15
% 191.91/192.15 fof(fact_snd__eqD,axiom,
% 191.91/192.15 ! [V_a,V_y,V_x,T_a,T_b] :
% 191.91/192.15 ( hAPP(c_Product__Type_Osnd(T_b,T_a),hAPP(hAPP(c_Product__Type_OPair(T_b,T_a),V_x),V_y)) = V_a
% 191.91/192.15 => V_y = V_a ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__int__def,axiom,
% 191.91/192.15 ! [V_b,V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__neg__pos,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__pos__pos,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__pos__pos__1__number__of,axiom,
% 191.91/192.15 ! [V_w] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__pos__neg,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__neg__neg,axiom,
% 191.91/192.15 ! [V_b,V_a] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_norm__frac_Opsimps,axiom,
% 191.91/192.15 ! [V_b_2,V_a_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a_2),V_b_2)))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 191.91/192.15 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => ( ( ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/192.15 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 191.91/192.15 & ( ~ ( V_a_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 191.91/192.15 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 191.91/192.15 => c_Nitpick_Onorm__frac(V_a_2,V_b_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Nitpick_Oint__gcd,V_a_2),V_b_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_negDivAlg_Opinduct,axiom,
% 191.91/192.15 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.91/192.15 => ( ! [B_a,B_b] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 191.91/192.15 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b)))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_posDivAlg_Opinduct,axiom,
% 191.91/192.15 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.91/192.15 => ( ! [B_a,B_b] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 191.91/192.15 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 191.91/192.15 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),B_b))) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_mod__nat__def,axiom,
% 191.91/192.15 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_accp__subset,axiom,
% 191.91/192.15 ! [V_R2_2,V_R1_2,T_b] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_b,tc_HOL_Obool))),V_R1_2),V_R2_2))
% 191.91/192.15 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oaccp(T_b,V_R2_2)),c_Wellfounded_Oaccp(T_b,V_R1_2))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_norm__frac_Opinduct,axiom,
% 191.91/192.15 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 191.91/192.15 => ( ! [B_a,B_b] :
% 191.91/192.15 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Nitpick_Onorm__frac__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 191.91/192.15 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 191.91/192.15 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_div__pos__neg__1__number__of,axiom,
% 191.91/192.15 ! [V_w] :
% 191.91/192.15 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.15 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_prod__eqI,axiom,
% 191.91/192.15 ! [V_q,V_p,T_b,T_a] :
% 191.91/192.15 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 191.91/192.15 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 191.91/192.15 => V_p = V_q ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_Pair__fst__snd__eq,axiom,
% 191.91/192.15 ! [T_c,T_b,V_t_2,V_s_2] :
% 191.91/192.15 ( V_s_2 = V_t_2
% 191.91/192.15 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 191.91/192.15 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_fst__def,axiom,
% 191.91/192.15 ! [V_p_2,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_b),c_COMBK(T_b,T_c)),V_p_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_fst__conv,axiom,
% 191.91/192.15 ! [V_b,V_a,T_b,T_a] : hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_a),V_b)) = V_a ).
% 191.91/192.15
% 191.91/192.15 fof(fact_fst__eqD,axiom,
% 191.91/192.15 ! [V_a,V_y,V_x,T_b,T_a] :
% 191.91/192.15 ( hAPP(c_Product__Type_Ofst(T_a,T_b),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) = V_a
% 191.91/192.15 => V_x = V_a ) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_fst__apsnd,axiom,
% 191.91/192.15 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Ofst(T_b,T_d),V_x_2) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_surjective__pairing,axiom,
% 191.91/192.15 ! [T_b,T_a,V_t] : V_t = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_t)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_t)) ).
% 191.91/192.15
% 191.91/192.15 fof(fact_pair__collapse,axiom,
% 191.91/192.15 ! [V_p,T_b,T_a] : hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(c_Product__Type_Ofst(T_a,T_b),V_p)),hAPP(c_Product__Type_Osnd(T_a,T_b),V_p)) = V_p ).
% 191.91/192.15
% 191.91/192.16 fof(fact_prod__case__beta,axiom,
% 191.91/192.16 ! [V_p_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_f_2),V_p_2) = hAPP(hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_div__int__def,axiom,
% 191.91/192.16 ! [V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_Odivmod__int(V_a,V_b)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_split__comp__eq,axiom,
% 191.91/192.16 ! [V_g_2,V_f_2,T_e,T_d,T_c,T_b] : hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),tc_prod(T_b,T_c)),V_f_2),hAPP(hAPP(c_COMBB(T_b,T_e,tc_prod(T_b,T_c)),V_g_2),c_Product__Type_Ofst(T_b,T_c)))),c_Product__Type_Osnd(T_b,T_c)) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),hAPP(hAPP(c_COMBB(T_e,tc_fun(T_c,T_d),T_b),V_f_2),V_g_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_split__beta,axiom,
% 191.91/192.16 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_z_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_z_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_split__def,axiom,
% 191.91/192.16 ! [V_p_2,V_c_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_c_2),V_p_2) = hAPP(hAPP(V_c_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_p_2)),hAPP(c_Product__Type_Osnd(T_c,T_d),V_p_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_split__comp,axiom,
% 191.91/192.16 ! [V_x_2,V_g_2,V_f_2,T_e,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),hAPP(c_Fun_Ocomp(T_e,tc_fun(T_d,T_b),T_c,V_f_2),V_g_2)),V_x_2) = hAPP(hAPP(V_f_2,hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_c,T_d),V_x_2))),hAPP(c_Product__Type_Osnd(T_c,T_d),V_x_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_accp_Osimps,axiom,
% 191.91/192.16 ! [V_a_2,V_r_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 191.91/192.16 <=> ! [B_x] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 191.91/192.16 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_accp_Oequations,axiom,
% 191.91/192.16 ! [V_a_2,V_r_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2))
% 191.91/192.16 <=> ! [B_x] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_a_2))
% 191.91/192.16 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_accp__downward,axiom,
% 191.91/192.16 ! [V_a_2,V_b_2,V_r_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 191.91/192.16 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_a_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_The__split,axiom,
% 191.91/192.16 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2)) = c_HOL_OThe(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBS(tc_prod(T_b,T_c),T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),tc_prod(T_b,T_c)),V_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_div__neg__pos,axiom,
% 191.91/192.16 ! [V_b,V_a] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg(V_a,V_b)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_div__pos__pos,axiom,
% 191.91/192.16 ! [V_b,V_a] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 191.91/192.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(V_a,V_b)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_div__pos__pos__1__number__of,axiom,
% 191.91/192.16 ! [V_w] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 191.91/192.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_div__pos__neg,axiom,
% 191.91/192.16 ! [V_b,V_a] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_div__neg__neg,axiom,
% 191.91/192.16 ! [V_b,V_a] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 191.91/192.16 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_a),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b)))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_prod__size__simp,axiom,
% 191.91/192.16 ! [V_p_2,V_g_2,V_f_2,T_c,T_b] : c_Product__Type_Oprod_Oprod__size(T_b,T_c,V_f_2,V_g_2,V_p_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_b,T_c),V_p_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_b,T_c),V_p_2)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat__gcd_Opsimps,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2] :
% 191.91/192.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)))
% 191.91/192.16 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.16 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 191.91/192.16 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.16 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = c_Nitpick_Onat__gcd(V_y_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x_2,V_y_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_conjI__realizer,axiom,
% 191.91/192.16 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 191.91/192.16 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 191.91/192.16 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 191.91/192.16 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_p_2),V_q_2))))
% 191.91/192.16 & 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)))) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_div__nat__def,axiom,
% 191.91/192.16 ! [V_n,V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),c_Divides_Odivmod__nat(V_m,V_n)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_divmod__nat__rel__def,axiom,
% 191.91/192.16 ! [V_qr_2,V_n_2,V_m_2] :
% 191.91/192.16 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 191.91/192.16 <=> ( 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))
% 191.91/192.16 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.16 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 191.91/192.16 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.16 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 191.91/192.16 & 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)) ) )
% 191.91/192.16 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 191.91/192.16 => ( 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)))
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_exI__realizer,axiom,
% 191.91/192.16 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2))),hAPP(c_Product__Type_Ofst(T_c,T_b),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat_Osize_I2_J,axiom,
% 191.91/192.16 ! [V_nat] : c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Nat_Onat_Onat__size(V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_in__measure,axiom,
% 191.91/192.16 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat__def,axiom,
% 191.91/192.16 ! [V_z_2] : hAPP(c_Int_Onat,V_z_2) = c_Set_Othe__elem(tc_Nat_Onat,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_Nat_Onat))),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Rep__Integ__inject,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2] :
% 191.91/192.16 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 191.91/192.16 <=> V_x_2 = V_y_2 ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat_Osize_I1_J,axiom,
% 191.91/192.16 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat__gcd_Opinduct,axiom,
% 191.91/192.16 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 191.91/192.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a0_2),V_a1_2)))
% 191.91/192.16 => ( ! [B_x,B_y] :
% 191.91/192.16 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Nitpick_Onat__gcd__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)))
% 191.91/192.16 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_mlex__leq,axiom,
% 191.91/192.16 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_mlex__less,axiom,
% 191.91/192.16 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_finite__psubset__def,axiom,
% 191.91/192.16 ! [T_b] : c_Wellfounded_Ofinite__psubset(T_b) = hAPP(c_Set_OCollect(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj)),c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool))))),c_Finite__Set_Ofinite(T_b)))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat_Osize_I4_J,axiom,
% 191.91/192.16 ! [V_nat] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_nat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_nat)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_prod_Orecs,axiom,
% 191.91/192.16 ! [V_b_2,V_a_2,V_f1_2,T_b,T_d,T_c] : c_Product__Type_Oprod_Oprod__rec(T_c,T_d,T_b,V_f1_2,hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_a_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_a_2),V_b_2) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat__size,axiom,
% 191.91/192.16 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat_Osize_I3_J,axiom,
% 191.91/192.16 hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_in__finite__psubset,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Ofinite__psubset(T_b)))
% 191.91/192.16 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 191.91/192.16 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 191.91/192.16 ( c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,V_a2_2,hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2))
% 191.91/192.16 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.16 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 191.91/192.16 | ? [B_x,B_y] :
% 191.91/192.16 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 191.91/192.16 & c_Nitpick_Ofold__graph_H(T_b,T_c,V_a3_2,V_a4_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_a2_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),B_y) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_in__lex__prod,axiom,
% 191.91/192.16 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2))),c_Wellfounded_Olex__prod(T_b,T_c,V_r_2,V_s_2)))
% 191.91/192.16 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_H_2)),V_r_2))
% 191.91/192.16 | ( V_a_2 = V_a_H_2
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_b_2),V_b_H_2)),V_s_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_apsnd__apfst,axiom,
% 191.91/192.16 ! [V_x_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_e,T_d),V_x_2))),hAPP(V_f_2,hAPP(c_Product__Type_Osnd(T_e,T_d),V_x_2))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_apfst__conv,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),V_x_2),V_y_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_x_2)),V_y_2) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_apfst__compose,axiom,
% 191.91/192.16 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_d,T_c,V_g_2),V_x_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_b,T_e,V_f_2),V_g_2)),V_x_2) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_fst__apfst,axiom,
% 191.91/192.16 ! [V_x_2,V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Ofst(T_b,T_c),hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2)) = hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_apfst__eq__conv,axiom,
% 191.91/192.16 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 191.91/192.16 ( hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),V_x_2) = hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_g_2),V_x_2)
% 191.91/192.16 <=> hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) = hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_c),V_x_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_snd__apfst,axiom,
% 191.91/192.16 ! [V_x_2,V_f_2,T_d,T_b,T_c] : hAPP(c_Product__Type_Osnd(T_c,T_b),hAPP(c_Product__Type_Oapfst(T_d,T_c,T_b,V_f_2),V_x_2)) = hAPP(c_Product__Type_Osnd(T_d,T_b),V_x_2) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_apsnd__apfst__commute,axiom,
% 191.91/192.16 ! [V_p_2,V_g_2,T_e,V_f_2,T_b,T_c,T_d] : hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_b,V_f_2),hAPP(c_Product__Type_Oapfst(T_e,T_b,T_d,V_g_2),V_p_2)) = hAPP(c_Product__Type_Oapfst(T_e,T_b,T_c,V_g_2),hAPP(c_Product__Type_Oapsnd(T_d,T_c,T_e,V_f_2),V_p_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_apfst__apsnd,axiom,
% 191.91/192.16 ! [V_x_2,V_g_2,T_e,V_f_2,T_c,T_b,T_d] : hAPP(c_Product__Type_Oapfst(T_d,T_b,T_c,V_f_2),hAPP(c_Product__Type_Oapsnd(T_e,T_c,T_d,V_g_2),V_x_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,hAPP(c_Product__Type_Ofst(T_d,T_e),V_x_2))),hAPP(V_g_2,hAPP(c_Product__Type_Osnd(T_d,T_e),V_x_2))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_same__fstI,axiom,
% 191.91/192.16 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 191.91/192.16 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y_H_2),V_y_2)),hAPP(V_R_2,V_x_2)))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(T_b,T_c),tc_prod(T_b,T_c))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(T_b,T_c),tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_H_2)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2))),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_pair__lessI2,axiom,
% 191.91/192.16 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_max__ext__additive,axiom,
% 191.91/192.16 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_pair__lessI1,axiom,
% 191.91/192.16 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_max__extp__max__ext__eq,axiom,
% 191.91/192.16 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 191.91/192.16 ( c_Wellfounded_Omax__extp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_R_2),V_x_2,V_xa_2)
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_xa_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_pair__leqI2,axiom,
% 191.91/192.16 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_smax__insertI,axiom,
% 191.91/192.16 ! [V_X_2,V_x_2,V_Y_2,V_y_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Y_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),V_Y_2)),c_FunDef_Omax__strict))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_X_2)),V_Y_2)),c_FunDef_Omax__strict)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_smax__emptyI,axiom,
% 191.91/192.16 ! [V_Y_2] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Y_2))
% 191.91/192.16 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_Y_2)),c_FunDef_Omax__strict)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_max__strict__def,axiom,
% 191.91/192.16 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_pair__leqI1,axiom,
% 191.91/192.16 ! [V_t_2,V_s_2,V_b_2,V_a_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a_2),V_b_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_a_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_wmin__insertI,axiom,
% 191.91/192.16 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__weak))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__weak)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_wmax__insertI,axiom,
% 191.91/192.16 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__leq))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omax__weak))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2)),V_YS_2)),c_FunDef_Omax__weak)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_smin__insertI,axiom,
% 191.91/192.16 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_FunDef_Opair__less))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),V_YS_2)),c_FunDef_Omin__strict))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_XS_2),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))),c_FunDef_Omin__strict)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_wmax__emptyI,axiom,
% 191.91/192.16 ! [V_X_2] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),V_X_2)),c_FunDef_Omax__weak)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_wmin__emptyI,axiom,
% 191.91/192.16 ! [V_X_2] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__weak)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_smin__emptyI,axiom,
% 191.91/192.16 ! [V_X_2] :
% 191.91/192.16 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_X_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_FunDef_Omin__strict)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_max__weak__def,axiom,
% 191.91/192.16 c_FunDef_Omax__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_min__weak__def,axiom,
% 191.91/192.16 c_FunDef_Omin__weak = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__leq)),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_min__rpair__set,axiom,
% 191.91/192.16 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omin__strict),c_FunDef_Omin__weak)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_max__rpair__set,axiom,
% 191.91/192.16 c_FunDef_Oreduction__pair(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool),tc_fun(tc_prod(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_HOL_Obool)),c_FunDef_Omax__strict),c_FunDef_Omax__weak)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_min__strict__def,axiom,
% 191.91/192.16 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_less__than__iff,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Wellfounded_Oless__than))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_intrel__iff,axiom,
% 191.91/192.16 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2))),c_Int_Ointrel))
% 191.91/192.16 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_rp__inv__image__rp,axiom,
% 191.91/192.16 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 191.91/192.16 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 191.91/192.16 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_pair__less__def,axiom,
% 191.91/192.16 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_mlex__prod__def,axiom,
% 191.91/192.16 ! [V_R_2,V_f_2,T_b] : c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,T_b),T_b),c_Wellfounded_Olex__prod(tc_Nat_Onat,T_b,c_Wellfounded_Oless__than,V_R_2)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(tc_Nat_Onat,T_b)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_prod(tc_Nat_Onat,T_b)),T_b),c_Product__Type_OPair(tc_Nat_Onat,T_b)),V_f_2)),c_COMBI(T_b))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_rp__inv__image__def,axiom,
% 191.91/192.16 ! [T_c,T_b] : c_FunDef_Orp__inv__image(T_b,T_c) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_COMBS(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),tc_fun(tc_fun(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_prod(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool))),tc_fun(T_c,T_b)),c_Product__Type_OPair(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)))),c_Relation_Oinv__image(T_b,T_c))))),c_Relation_Oinv__image(T_b,T_c))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equiv__intrel__iff,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2] :
% 191.91/192.16 ( hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))) = hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat))),hAPP(hAPP(c_Product__Type_OPair(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_y_2)),c_Int_Ointrel)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_measure__def,axiom,
% 191.91/192.16 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__singleton,axiom,
% 191.91/192.16 ! [V_a_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_b))),hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2))),V_r_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__singleton__iff,axiom,
% 191.91/192.16 ! [V_a_2,V_r_2,T_c,V_b_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_a_2),V_b_2)),V_r_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inv__image__def,axiom,
% 191.91/192.16 ! [V_f_2,V_r_2,T_b,T_c] : hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_c,T_c)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_c),tc_fun(tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_c,T_c)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_c)),tc_fun(tc_fun(T_b,T_c),tc_fun(T_b,tc_prod(T_c,T_c))),T_b),c_COMBB(T_c,tc_prod(T_c,T_c),T_b)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,tc_prod(T_c,T_c)),T_b),c_Product__Type_OPair(T_c,T_c)),V_f_2))),V_f_2)))),V_r_2))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__empty,axiom,
% 191.91/192.16 ! [V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__Un,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__UN,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,T_d,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__Int__subset,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__mono,axiom,
% 191.91/192.16 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_H_2),V_r_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,V_r_H_2),V_A_H_2)),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Un__Image,axiom,
% 191.91/192.16 ! [V_A_2,V_S_2,V_R_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_R_2),V_S_2)),V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_S_2),V_A_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_in__inv__image,axiom,
% 191.91/192.16 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_r_2),V_f_2)))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2))),V_r_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__iff,axiom,
% 191.91/192.16 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 191.91/192.16 <=> ? [B_x] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),V_b_2)),V_r_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_rev__ImageI,axiom,
% 191.91/192.16 ! [V_r_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__eq__UN,axiom,
% 191.91/192.16 ! [V_B_2,V_r_2,T_b,T_c] : hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_B_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),c_Relation_OImage(T_c,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),c_Set_Oinsert(T_c)),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_of__int,axiom,
% 191.91/192.16 ! [V_j_2,V_i_2,T_b] :
% 191.91/192.16 ( class_Rings_Oring__1(T_b)
% 191.91/192.16 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_i_2),V_j_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_i_2)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),V_j_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_One__int__def,axiom,
% 191.91/192.16 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_mult,axiom,
% 191.91/192.16 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_v_2))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_y_2),V_u_2)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Rep__Integ__inverse,axiom,
% 191.91/192.16 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 191.91/192.16
% 191.91/192.16 fof(fact_minus,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_y_2),V_x_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Zero__int__def,axiom,
% 191.91/192.16 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_int__def,axiom,
% 191.91/192.16 ! [V_m_2] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_add,axiom,
% 191.91/192.16 ! [V_v_2,V_u_2,V_y_2,V_x_2] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_u_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_y_2),V_v_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_nat,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2] : hAPP(c_Int_Onat,hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_y_2) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_minus__int__def,axiom,
% 191.91/192.16 ! [V_z_2] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z_2) = hAPP(c_Int_OAbs__Integ,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(c_Int_ORep__Integ,V_z_2)),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Nat_Onat,tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),hAPP(c_COMBB(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_Nat_Onat),c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),tc_Nat_Onat),hAPP(c_COMBB(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool),tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),tc_Nat_Onat),c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)))),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat))))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_less,axiom,
% 191.91/192.16 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_le,axiom,
% 191.91/192.16 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_x_2),V_y_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))),hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_u_2),V_v_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)))))))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_x_2),V_v_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_u_2),V_y_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_irrefl__def,axiom,
% 191.91/192.16 ! [V_r_2,T_b] :
% 191.91/192.16 ( c_Relation_Oirrefl(T_b,V_r_2)
% 191.91/192.16 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_eq__Abs__Integ,axiom,
% 191.91/192.16 ! [V_z_2] :
% 191.91/192.16 ~ ! [B_x,B_y] : V_z_2 != hAPP(c_Int_OAbs__Integ,hAPP(c_Relation_OImage(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Int_Ointrel),hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),B_x),B_y)),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Field__insert,axiom,
% 191.91/192.16 ! [V_r_2,V_b_2,V_a_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OField(T_b),V_r_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Field__empty,axiom,
% 191.91/192.16 ! [T_b] : hAPP(c_Relation_OField(T_b),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_mono__Field,axiom,
% 191.91/192.16 ! [V_s_2,V_r_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Field__Un,axiom,
% 191.91/192.16 ! [V_s_2,V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_Relation_OField(T_b),V_s_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_finite__Field,axiom,
% 191.91/192.16 ! [V_r_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 191.91/192.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_lfp__induct2,axiom,
% 191.91/192.16 ! [V_Pa_2,V_f_2,V_b_2,V_a_2,T_c,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),V_f_2)))
% 191.91/192.16 => ( 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)
% 191.91/192.16 => ( ! [B_a,B_b] :
% 191.91/192.16 ( 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))))))
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) )
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_Pa_2,V_a_2),V_b_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Id__on__def,axiom,
% 191.91/192.16 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b)))),c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotient__def,axiom,
% 191.91/192.16 ! [V_r_2,V_A_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),c_Relation_OImage(T_b,T_b,V_r_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotient__empty,axiom,
% 191.91/192.16 ! [V_r_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotient__is__empty2,axiom,
% 191.91/192.16 ! [V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)
% 191.91/192.16 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotient__is__empty,axiom,
% 191.91/192.16 ! [V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 191.91/192.16 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Id__on__def_H,axiom,
% 191.91/192.16 ! [V_A_2,T_b] : c_Relation_OId__on(T_b,V_A_2) = hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj)),c_fequal))),V_A_2)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Id__on__empty,axiom,
% 191.91/192.16 ! [T_b] : c_Relation_OId__on(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Image__Id__on,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)),V_B_2) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotientI,axiom,
% 191.91/192.16 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Id__on__eqI,axiom,
% 191.91/192.16 ! [V_A_2,T_b,V_b_2,V_a_2] :
% 191.91/192.16 ( V_a_2 = V_b_2
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Id__on__iff,axiom,
% 191.91/192.16 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Relation_OId__on(T_b,V_A_2)))
% 191.91/192.16 <=> ( V_x_2 = V_y_2
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_singleton__quotient,axiom,
% 191.91/192.16 ! [V_r_2,V_x_2,T_b] : hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equiv__class__nondisjoint,axiom,
% 191.91/192.16 ! [V_b_2,V_a_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_subset__equiv__class,axiom,
% 191.91/192.16 ! [V_a_2,V_b_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotientE,axiom,
% 191.91/192.16 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ~ ! [B_x] :
% 191.91/192.16 ( V_X_2 = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.16 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equiv__intrel,axiom,
% 191.91/192.16 c_Equiv__Relations_Oequiv(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),c_Int_Ointrel) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equiv__class__self,axiom,
% 191.91/192.16 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotient__disj,axiom,
% 191.91/192.16 ! [V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( V_X_2 = V_Y_2
% 191.91/192.16 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equiv__class__eq,axiom,
% 191.91/192.16 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.91/192.16 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotient__eq__iff,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 191.91/192.16 => ( V_X_2 = V_Y_2
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_quotient__eqI,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_Y_2,V_X_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Y_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.91/192.16 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equiv__class__eq__iff,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 191.91/192.16 <=> ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_eq__equiv__class,axiom,
% 191.91/192.16 ! [V_A_2,V_b_2,V_a_2,V_r_2,T_b] :
% 191.91/192.16 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.16 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_eq__equiv__class__iff,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.91/192.16 => ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equiv__class__subset,axiom,
% 191.91/192.16 ! [V_b_2,V_a_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_eq__equiv__class__iff2,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.91/192.16 => ( hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2) = hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_UN__equiv__class2,axiom,
% 191.91/192.16 ! [V_a2_2,V_a1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.91/192.16 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.91/192.16 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 191.91/192.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r1_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a2_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) = hAPP(hAPP(V_f_2,V_a1_2),V_a2_2) ) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_UN__equiv__class,axiom,
% 191.91/192.16 ! [V_a_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.16 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_a_2) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equivp__equiv,axiom,
% 191.91/192.16 ! [V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 191.91/192.16 <=> c_Equiv__Relations_Oequivp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_A_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_identity__equivp,axiom,
% 191.91/192.16 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equivp__def,axiom,
% 191.91/192.16 ! [V_R_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/192.16 <=> ! [B_x,B_y] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 191.91/192.16 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equivp__reflp,axiom,
% 191.91/192.16 ! [V_x_2,V_R_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equivp__symp,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_equivp__transp,axiom,
% 191.91/192.16 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_congruent2__implies__congruent,axiom,
% 191.91/192.16 ! [V_a_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 191.91/192.16 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 191.91/192.16 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_a_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_congruent2D,axiom,
% 191.91/192.16 ! [V_z2_2,V_y2_2,V_z1_2,V_y1_2,V_f_2,V_r2_2,V_r1_2,T_d,T_c,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y1_2),V_z1_2)),V_r1_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_c),V_y2_2),V_z2_2)),V_r2_2))
% 191.91/192.16 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_congruentD,axiom,
% 191.91/192.16 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_r_2))
% 191.91/192.16 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_congruent2__implies__congruent__UN,axiom,
% 191.91/192.16 ! [V_a_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.91/192.16 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.91/192.16 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A2_2))
% 191.91/192.16 => c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_d,tc_HOL_Obool),V_r1_2,hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_c,V_r2_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_UN__equiv__class__inject,axiom,
% 191.91/192.16 ! [V_Y_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.91/192.16 => ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_Y_2),V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Y_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( ! [B_x] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.16 => ! [B_y] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 191.91/192.16 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2)) ) ) )
% 191.91/192.16 => V_X_2 = V_Y_2 ) ) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_UN__equiv__class__type2,axiom,
% 191.91/192.16 ! [V_B_2,V_X2_2,V_X1_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 191.91/192.16 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 191.91/192.16 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A1_2),V_r1_2)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),V_X2_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_c),V_A2_2),V_r2_2)))
% 191.91/192.16 => ( ! [B_x1] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 191.91/192.16 => ! [B_x2] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_d,tc_HOL_Obool)),V_X1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool)),tc_fun(T_d,tc_HOL_Obool),T_b),hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_d,tc_HOL_Obool)),V_X2_2)),V_f_2))),V_B_2)) ) ) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_UN__equiv__class__type,axiom,
% 191.91/192.16 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 191.91/192.16 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 191.91/192.16 => ( ! [B_x] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_X_2),V_f_2)),V_B_2)) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Integ__def,axiom,
% 191.91/192.16 c_Int_OInteg = hAPP(hAPP(c_Equiv__Relations_Oquotient(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),c_Orderings_Otop__class_Otop(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))),c_Int_Ointrel) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_card__quotient__disjoint,axiom,
% 191.91/192.16 ! [V_r_2,V_A_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.16 => ( c_Fun_Oinj__on(T_b,tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),T_b),c_Equiv__Relations_Oquotient(T_b)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_r_2),V_A_2)
% 191.91/192.16 => hAPP(c_Finite__Set_Ocard(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_Id__onE,axiom,
% 191.91/192.16 ! [V_A_2,V_c_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_c_2),c_Relation_OId__on(T_b,V_A_2)))
% 191.91/192.16 => ~ ! [B_x] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.16 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__empty,axiom,
% 191.91/192.16 ! [V_f_2,T_c,T_b] : c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__uminus,axiom,
% 191.91/192.16 ! [V_A_2,T_b] :
% 191.91/192.16 ( class_Groups_Oordered__ab__group__add(T_b)
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_finite__imageD,axiom,
% 191.91/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 191.91/192.16 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 191.91/192.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__def,axiom,
% 191.91/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 <=> ! [B_x] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 191.91/192.16 => ! [B_xa] :
% 191.91/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 191.91/192.16 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 191.91/192.16 => B_x = B_xa ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__diff,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_subset__inj__on,axiom,
% 191.91/192.16 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__Int,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__imageI2,axiom,
% 191.91/192.16 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_H_2),V_f_2),V_A_2)
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__id2,axiom,
% 191.91/192.16 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__contraD,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( V_x_2 != V_y_2
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.91/192.16 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__iff,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.91/192.16 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.91/192.16 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__onD,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 191.91/192.16 => V_x_2 = V_y_2 ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__fun,axiom,
% 191.91/192.16 ! [T_d,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => c_Fun_Oinj__on(T_b,tc_fun(T_d,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,T_c),T_b),c_COMBK(T_c,T_d)),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_injD,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.91/192.16 => V_x_2 = V_y_2 ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__eq,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 191.91/192.16 <=> V_x_2 = V_y_2 ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__image__eq__iff,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 191.91/192.16 <=> V_A_2 = V_B_2 ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.16 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)
% 191.91/192.16 <=> V_A_2 = V_B_2 ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__comp,axiom,
% 191.91/192.16 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 191.91/192.16 => c_Fun_Oinj__on(T_d,T_c,hAPP(c_Fun_Ocomp(T_b,T_c,T_d,V_f_2),V_g_2),c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_comp__inj__on__iff,axiom,
% 191.91/192.16 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( c_Fun_Oinj__on(T_c,T_d,V_f_H_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 191.91/192.16 <=> c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_f_H_2),V_f_2),V_A_2) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_comp__inj__on,axiom,
% 191.91/192.16 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( c_Fun_Oinj__on(T_c,T_d,V_g_2,hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_d,hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_g_2),V_f_2),V_A_2) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__imageI,axiom,
% 191.91/192.16 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_g_2),V_f_2),V_A_2)
% 191.91/192.16 => c_Fun_Oinj__on(T_d,T_c,V_g_2,hAPP(c_Set_Oimage(T_b,T_d,V_f_2),V_A_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_card__image,axiom,
% 191.91/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__strict__subset,axiom,
% 191.91/192.16 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 191.91/192.16 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_the__inv__into__f__f,axiom,
% 191.91/192.16 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_the__inv__into__f__eq,axiom,
% 191.91/192.16 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 191.91/192.16 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_the__inv__f__f,axiom,
% 191.91/192.16 ! [V_x_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_f_2),hAPP(V_f_2,V_x_2)) = V_x_2 ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__the__inv__into,axiom,
% 191.91/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => c_Fun_Oinj__on(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_the__inv__into__onto,axiom,
% 191.91/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 => hAPP(c_Set_Oimage(T_c,T_b,c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = V_A_2 ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_range__ex1__eq,axiom,
% 191.91/192.16 ! [V_b_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))))
% 191.91/192.16 <=> ? [B_x] :
% 191.91/192.16 ( V_b_2 = hAPP(V_f_2,B_x)
% 191.91/192.16 & ! [B_y] :
% 191.91/192.16 ( V_b_2 = hAPP(V_f_2,B_y)
% 191.91/192.16 => B_y = B_x ) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__image__mem__iff,axiom,
% 191.91/192.16 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__iff__surj,axiom,
% 191.91/192.16 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 191.91/192.16 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.16 => ( ? [B_f] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 191.91/192.16 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,B_f),V_A_2)),V_A_H_2)) )
% 191.91/192.16 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_finite__surj__inj,axiom,
% 191.91/192.16 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)))
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_endo__inj__surj,axiom,
% 191.91/192.16 ! [V_f_2,V_A_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2)),V_A_2))
% 191.91/192.16 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 191.91/192.16 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_finite__UNIV__inj__surj,axiom,
% 191.91/192.16 ! [V_f_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.16 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_finite__UNIV__surj__inj,axiom,
% 191.91/192.16 ! [V_f_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 191.91/192.16 => ( hAPP(c_Set_Oimage(T_b,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 191.91/192.16 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__image__subset__iff,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)))
% 191.91/192.16 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__image__Int,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 191.91/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 191.91/192.16 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_image__Int,axiom,
% 191.91/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 191.91/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 191.91/192.16 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2)) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_inj__on__iff__eq__card,axiom,
% 191.91/192.16 ! [V_f_2,T_c,V_A_2,T_b] :
% 191.91/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 191.91/192.16 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 191.91/192.16 <=> hAPP(c_Finite__Set_Ocard(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)) = hAPP(c_Finite__Set_Ocard(T_b),V_A_2) ) ) ).
% 191.91/192.16
% 191.91/192.16 fof(fact_eq__card__imp__inj__on,axiom,
% 191.91/192.16 ! [V_f_2,T_c,V_A_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.16 => ( 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)
% 192.19/192.16 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__on__image__set__diff,axiom,
% 192.19/192.16 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 192.19/192.16 => 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)) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_image__set__diff,axiom,
% 192.19/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.19/192.16 => 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)) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_setsum__reindex,axiom,
% 192.19/192.16 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 192.19/192.16 ( class_Groups_Ocomm__monoid__add(T_d)
% 192.19/192.16 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 192.19/192.16 => 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) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_pigeonhole,axiom,
% 192.19/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( 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)))
% 192.19/192.16 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__on__fun__updI,axiom,
% 192.19/192.16 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 192.19/192.16 => 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) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_setprod__reindex__cong,axiom,
% 192.19/192.16 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 192.19/192.16 ( class_Groups_Ocomm__monoid__mult(T_d)
% 192.19/192.16 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 192.19/192.16 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 192.19/192.16 => 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) ) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_setprod__reindex,axiom,
% 192.19/192.16 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 192.19/192.16 ( class_Groups_Ocomm__monoid__mult(T_d)
% 192.19/192.16 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 192.19/192.16 => 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) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_f__the__inv__into__f,axiom,
% 192.19/192.16 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 192.19/192.16 => 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 ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__singleton,axiom,
% 192.19/192.16 ! [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))) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_Rep__Integ,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_setsum_Oreindex,axiom,
% 192.19/192.16 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 192.19/192.16 ( class_Groups_Ocomm__monoid__add(T_c)
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.16 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 192.19/192.16 => 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) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_card__bij__eq,axiom,
% 192.19/192.16 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 => ( 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))
% 192.19/192.16 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 192.19/192.16 => ( 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))
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 192.19/192.16 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_setprod_Oreindex,axiom,
% 192.19/192.16 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 192.19/192.16 ( class_Groups_Ocomm__monoid__mult(T_c)
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.16 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 192.19/192.16 => 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) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__image__Compl__subset,axiom,
% 192.19/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.19/192.16 => 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)))) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_the__inv__into__into,axiom,
% 192.19/192.16 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.19/192.16 => 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)) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_the__inv__into__comp,axiom,
% 192.19/192.16 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 192.19/192.16 ( 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))
% 192.19/192.16 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 192.19/192.16 => ( 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))))
% 192.19/192.16 => 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) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__on__insert,axiom,
% 192.19/192.16 ! [V_A_2,V_a_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2))
% 192.19/192.16 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 & ~ 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))))))) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__on__Un,axiom,
% 192.19/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.19/192.16 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 192.19/192.16 & 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)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__on__iff__card__le,axiom,
% 192.19/192.16 ! [V_B_2,T_c,V_A_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 192.19/192.16 => ( ? [B_f] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 192.19/192.16 & 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)) )
% 192.19/192.16 <=> 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))) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_card__inj__on__le,axiom,
% 192.19/192.16 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 => ( 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))
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 192.19/192.16 => 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))) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_fold__image__reindex,axiom,
% 192.19/192.16 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 192.19/192.16 ( class_Groups_Oab__semigroup__mult(T_d)
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.16 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 192.19/192.16 => 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) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_quotient__diff1,axiom,
% 192.19/192.16 ! [V_a_2,V_A_2,V_r_2,T_b] :
% 192.19/192.16 ( 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)
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.19/192.16 => 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)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_folding__image_Oreindex,axiom,
% 192.19/192.16 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 192.19/192.16 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 192.19/192.16 => 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) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition__Integ,axiom,
% 192.19/192.16 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) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__vimage__singleton,axiom,
% 192.19/192.16 ! [V_a_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.19/192.16 => 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))))) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimageI,axiom,
% 192.19/192.16 ! [T_c,V_B_2,T_b,V_b_2,V_a_2,V_f_2] :
% 192.19/192.16 ( hAPP(V_f_2,V_a_2) = V_b_2
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 192.19/192.16 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__Suc,axiom,
% 192.19/192.16 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__on__add__nat,axiom,
% 192.19/192.16 ! [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) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__UNIV,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__empty,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__Un,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__eq,axiom,
% 192.19/192.16 ! [V_B_2,V_f_2,T_c,V_a_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 192.19/192.16 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_B_2)) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimageD,axiom,
% 192.19/192.16 ! [V_A_2,V_f_2,T_c,V_a_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 192.19/192.16 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_a_2)),V_A_2)) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimageI2,axiom,
% 192.19/192.16 ! [T_c,V_A_2,V_a_2,V_f_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_a_2)),V_A_2))
% 192.19/192.16 => hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__ident,axiom,
% 192.19/192.16 ! [V_Y_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Y_2) = V_Y_2 ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__compose,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__Int,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__mono,axiom,
% 192.19/192.16 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.19/192.16 => 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))) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__Diff,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__code,axiom,
% 192.19/192.16 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 192.19/192.16 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__Compl,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__Collect__eq,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__UN,axiom,
% 192.19/192.16 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] : hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__of__nat,axiom,
% 192.19/192.16 ! [T_b] :
% 192.19/192.16 ( class_Nat_Osemiring__char__0(T_b)
% 192.19/192.16 => 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))) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__int,axiom,
% 192.19/192.16 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))) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_image__vimage__subset,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_surj__image__vimage__eq,axiom,
% 192.19/192.16 ! [V_A_2,V_f_2,T_b,T_c] :
% 192.19/192.16 ( 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))
% 192.19/192.16 => 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 ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__def,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_swap__inj__on,axiom,
% 192.19/192.16 ! [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) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_folding__image_Odistrib,axiom,
% 192.19/192.16 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 192.19/192.16 => 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)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__singleton__eq,axiom,
% 192.19/192.16 ! [V_b_2,V_f_2,T_c,V_a_2,T_b] :
% 192.19/192.16 ( 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))))))
% 192.19/192.16 <=> hAPP(V_f_2,V_a_2) = V_b_2 ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__insert,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_finite__vimageD,axiom,
% 192.19/192.16 ! [V_F_2,V_h_2,T_c,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 192.19/192.16 => ( 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))
% 192.19/192.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__subsetD,axiom,
% 192.19/192.16 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 192.19/192.16 ( 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))
% 192.19/192.16 => ( 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))
% 192.19/192.16 => 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))) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_image__vimage__eq,axiom,
% 192.19/192.16 ! [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)))) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_finite__vimageI,axiom,
% 192.19/192.16 ! [V_h_2,T_c,V_F_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 192.19/192.16 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 192.19/192.16 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__vimage__image__eq,axiom,
% 192.19/192.16 ! [V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.19/192.16 => 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 ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__const,axiom,
% 192.19/192.16 ! [T_c,V_A_2,V_c_2,T_b] :
% 192.19/192.16 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 192.19/192.16 => 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)) )
% 192.19/192.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 192.19/192.16 => 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)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__eq__UN,axiom,
% 192.19/192.16 ! [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))))) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_inj__graph,axiom,
% 192.19/192.16 ! [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))) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__subsetI,axiom,
% 192.19/192.16 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.19/192.16 => ( 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)))
% 192.19/192.16 => 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)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_folding__image_Oeq__fold,axiom,
% 192.19/192.16 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 192.19/192.16 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 192.19/192.16 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 192.19/192.16 => 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) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_vimage__if,axiom,
% 192.19/192.16 ! [V_B_2,T_c,V_d_2,V_A_2,V_c_2,T_b] :
% 192.19/192.16 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 192.19/192.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 192.19/192.16 => 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)) )
% 192.19/192.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 192.19/192.16 => 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 ) ) )
% 192.19/192.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_c_2),V_A_2))
% 192.19/192.16 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 192.19/192.16 => 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) )
% 192.19/192.16 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 192.19/192.16 => 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)) ) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition_ORep__range,axiom,
% 192.19/192.16 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 192.19/192.16 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 192.19/192.16 => 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 ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition_OAbs__image,axiom,
% 192.19/192.16 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 192.19/192.16 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 192.19/192.16 => 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)) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition_OAbs__inject,axiom,
% 192.19/192.16 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 192.19/192.16 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 192.19/192.16 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 192.19/192.16 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition_ORep__inject,axiom,
% 192.19/192.16 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 192.19/192.16 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 192.19/192.16 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 192.19/192.16 <=> V_x_2 = V_y_2 ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition_ORep__inverse,axiom,
% 192.19/192.16 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 192.19/192.16 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 192.19/192.16 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition_ORep,axiom,
% 192.19/192.16 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 192.19/192.16 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 192.19/192.16 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_type__definition_OAbs__inverse,axiom,
% 192.19/192.16 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 192.19/192.16 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 192.19/192.16 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 192.19/192.16 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_ImageE,axiom,
% 192.19/192.16 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 192.19/192.16 => ~ ! [B_x] :
% 192.19/192.16 ( 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))
% 192.19/192.16 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_strong__setprod__reindex__cong,axiom,
% 192.19/192.16 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 192.19/192.16 ( class_Groups_Ocomm__monoid__mult(T_d)
% 192.19/192.16 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.16 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 192.19/192.16 => ( ! [B_x] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.16 => 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) )
% 192.19/192.16 => 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) ) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 192.19/192.16 ! [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) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 192.19/192.16 ! [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 ).
% 192.19/192.16
% 192.19/192.16 fof(fact_accp__acc__eq,axiom,
% 192.19/192.16 ! [V_x_2,V_r_2,T_b] :
% 192.19/192.16 ( 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))
% 192.19/192.16 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__def,axiom,
% 192.19/192.16 ! [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))))) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_max__extp_Oequations,axiom,
% 192.19/192.16 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 192.19/192.16 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 192.19/192.16 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 192.19/192.16 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 192.19/192.16 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.16 & ! [B_x] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 192.19/192.16 => ? [B_xa] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 192.19/192.16 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__compI,axiom,
% 192.19/192.16 ! [V_s_2,V_c_2,T_d,V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.16 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 192.19/192.16 => ( 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))
% 192.19/192.16 => 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))) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__UNION__distrib,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__UNION__distrib2,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__empty1,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__empty2,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__distrib2,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__distrib,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_rel__comp__mono,axiom,
% 192.19/192.16 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 192.19/192.16 ( 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))
% 192.19/192.16 => ( 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))
% 192.19/192.16 => 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))) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_O__assoc,axiom,
% 192.19/192.16 ! [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)) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_union__comp__emptyR,axiom,
% 192.19/192.16 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 192.19/192.16 ( 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))
% 192.19/192.16 => ( 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))
% 192.19/192.16 => 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)) ) ) ).
% 192.19/192.16
% 192.19/192.16 fof(fact_union__comp__emptyL,axiom,
% 192.19/192.16 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 192.19/192.16 ( 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))
% 192.19/192.17 => ( 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))
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acc__subset,axiom,
% 192.19/192.17 ! [V_R2_2,V_R1_2,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 => 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acc__downward,axiom,
% 192.19/192.17 ! [V_a_2,V_r_2,V_b_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acc_Osimps,axiom,
% 192.19/192.17 ! [V_r_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 192.19/192.17 <=> ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_a_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_max__ext__compat,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 192.19/192.17 => 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_min__ext__compat,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 192.19/192.17 => 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_pred__comp__rel__comp__eq,axiom,
% 192.19/192.17 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_reduction__pairI,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_max__ext_Ointros,axiom,
% 192.19/192.17 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 192.19/192.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 192.19/192.17 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 => ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 192.19/192.17 => ? [B_xa] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) )
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Y_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__less__than,axiom,
% 192.19/192.17 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_pred__comp_Ointros,axiom,
% 192.19/192.17 ! [T_d,T_c,T_b,V_c_2,V_s_2,V_b_2,V_a_2,V_r_2] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_c_2))
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__empty,axiom,
% 192.19/192.17 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__inv__image,axiom,
% 192.19/192.17 ! [V_f_2,T_c,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__lex__prod,axiom,
% 192.19/192.17 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 192.19/192.17 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 192.19/192.17 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__measure,axiom,
% 192.19/192.17 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__comp__self,axiom,
% 192.19/192.17 ! [V_R_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 192.19/192.17 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_min__ext__wf,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__mlex,axiom,
% 192.19/192.17 ! [V_f_2,V_R_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 192.19/192.17 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_pred__comp_Oequations,axiom,
% 192.19/192.17 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> ? [B_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 192.19/192.17 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__subset,axiom,
% 192.19/192.17 ! [V_p_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ( 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))
% 192.19/192.17 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__Int2,axiom,
% 192.19/192.17 ! [V_r_H_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => 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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__Int1,axiom,
% 192.19/192.17 ! [V_r_H_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => 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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__finite__psubset,axiom,
% 192.19/192.17 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__pair__less,axiom,
% 192.19/192.17 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_max__ext__wf,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__less,axiom,
% 192.19/192.17 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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__irrefl,axiom,
% 192.19/192.17 ! [V_a_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__asym,axiom,
% 192.19/192.17 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__not__sym,axiom,
% 192.19/192.17 ! [V_x_2,V_a_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_x_2)),V_r_2))
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_a_2)),V_r_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__not__refl,axiom,
% 192.19/192.17 ! [V_a_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__int__ge__less__than2,axiom,
% 192.19/192.17 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__int__ge__less__than,axiom,
% 192.19/192.17 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acc__wfD,axiom,
% 192.19/192.17 ! [V_x_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__acc__iff,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__no__loop,axiom,
% 192.19/192.17 ! [V_R_2,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__union__merge,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> 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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 <=> ~ ? [B_f] :
% 192.19/192.17 ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(B_f,hAPP(c_Nat_OSuc,B_i))),hAPP(B_f,B_i))),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfE__pf,axiom,
% 192.19/192.17 ! [V_A_2,V_R_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 192.19/192.17 => ( 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)))
% 192.19/192.17 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__union__compatible,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 192.19/192.17 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_S_2)),V_R_2))
% 192.19/192.17 => 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)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf,axiom,
% 192.19/192.17 ! [T_b] :
% 192.19/192.17 ( class_Orderings_Owellorder(T_b)
% 192.19/192.17 => 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)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_reduction__pair__def,axiom,
% 192.19/192.17 ! [V_Pa_2,T_b] :
% 192.19/192.17 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 192.19/192.17 <=> ( 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))
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_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))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_reduction__pair__lemma,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 192.19/192.17 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),hAPP(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)))
% 192.19/192.17 => ( 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)))
% 192.19/192.17 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 192.19/192.17 => 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)) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__lenlex,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__if__measure,axiom,
% 192.19/192.17 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 192.19/192.17 ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(V_Pa_2,B_x))
% 192.19/192.17 => 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))) )
% 192.19/192.17 => 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))))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Nitpick_Oone__frac__def,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_pred__nat__def,axiom,
% 192.19/192.17 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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__pred__nat,axiom,
% 192.19/192.17 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Nitpick_Ofrac__def,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__lex,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__lexn,axiom,
% 192.19/192.17 ! [V_n_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_lex__def,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_lexn_Osimps_I1_J,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__same__fst,axiom,
% 192.19/192.17 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 192.19/192.17 ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(V_Pa_2,B_x))
% 192.19/192.17 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 192.19/192.17 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__Collect__split,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_image__split__eq__Sigma,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_SigmaI,axiom,
% 192.19/192.17 ! [V_B_2,V_b_2,T_c,V_A_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_RangeI,axiom,
% 192.19/192.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__Id__on,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__Diff__distrib1,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Times__Diff__distrib1,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__Diff__distrib2,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Times__eq__cancel2,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 192.19/192.17 => ( 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))
% 192.19/192.17 <=> V_A_2 = V_B_2 ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__empty1,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_card__cartesian__product,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setsum__cartesian__product,axiom,
% 192.19/192.17 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.19/192.17 => 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__empty2,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Times__empty,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Compl__Times__UNIV2,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Compl__Times__UNIV1,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setprod__cartesian__product,axiom,
% 192.19/192.17 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__mult(T_b)
% 192.19/192.17 => 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__Un__distrib2,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Times__Un__distrib1,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__Un__distrib1,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__comp__subset__Sigma,axiom,
% 192.19/192.17 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( 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))))
% 192.19/192.17 => ( 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))))
% 192.19/192.17 => 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)))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_swap__product,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__cartesian__product,axiom,
% 192.19/192.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 192.19/192.17 => 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)))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_equiv__type,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__Int__distrib2,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Times__Int__distrib1,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__Int__distrib1,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Id__on__subset__Times,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__Diff__subset,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_UNIV__Times__UNIV,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_mem__Sigma__iff,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 192.19/192.17 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_SigmaD1,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_SigmaD2,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_SigmaE2,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 192.19/192.17 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__empty__iff,axiom,
% 192.19/192.17 ! [V_r_2,T_b,T_c] :
% 192.19/192.17 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__empty,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__Un__eq,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__Range,axiom,
% 192.19/192.17 ! [V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_snd__eq__Range,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_card__cartesian__product__singleton,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Times__subset__cancel2,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 192.19/192.17 => ( 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))))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Image__subset,axiom,
% 192.19/192.17 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( 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))))
% 192.19/192.17 => 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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__cartesian__productD1,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 192.19/192.17 ( 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))))
% 192.19/192.17 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__cartesian__productD2,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,T_c,T_b] :
% 192.19/192.17 ( 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))))
% 192.19/192.17 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Collect__split,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_SetCompr__Sigma__eq,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_fst__image__times,axiom,
% 192.19/192.17 ! [V_A_2,T_c,T_b,V_B_2] :
% 192.19/192.17 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 => 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)) )
% 192.19/192.17 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 => 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 ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_snd__image__times,axiom,
% 192.19/192.17 ! [V_B_2,T_c,T_b,V_A_2] :
% 192.19/192.17 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 => 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)) )
% 192.19/192.17 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 => 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 ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__iff,axiom,
% 192.19/192.17 ! [V_r_2,T_c,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 192.19/192.17 <=> ? [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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__insert,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__Int__subset,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_insert__times__insert,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__equiv__class,axiom,
% 192.19/192.17 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 192.19/192.17 => ( 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)))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_vimage__Times,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_UN__Times__distrib,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__def,axiom,
% 192.19/192.17 ! [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))))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__quotient,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 192.19/192.17 => 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))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 192.19/192.17 ( class_Rings_Osemiring__0(T_d)
% 192.19/192.17 => ( 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)))
% 192.19/192.17 => 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))))))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_RangeP__Range__eq,axiom,
% 192.19/192.17 ! [V_x_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 192.19/192.17 ! [V_A_2,V_I_2,T_c,T_b] :
% 192.19/192.17 ? [B_f] :
% 192.19/192.17 ( 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))
% 192.19/192.17 & 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_RangeP_Ointros,axiom,
% 192.19/192.17 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 192.19/192.17 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_image__id,axiom,
% 192.19/192.17 ! [V_Y_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Y_2) = V_Y_2 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_vimage__id,axiom,
% 192.19/192.17 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_apsnd__id,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_RangeP_Oequations,axiom,
% 192.19/192.17 ! [V_a2_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 192.19/192.17 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_id__apply,axiom,
% 192.19/192.17 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 192.19/192.17
% 192.19/192.17 fof(fact_id__o,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_o__id,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_id__def,axiom,
% 192.19/192.17 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_o__eq__id__dest,axiom,
% 192.19/192.17 ! [V_v_2,V_c_2,V_b_2,V_a_2,T_b,T_c,T_d] :
% 192.19/192.17 ( 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)
% 192.19/192.17 => hAPP(V_a_2,hAPP(V_b_2,V_v_2)) = hAPP(V_c_2,V_v_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_apfst__id,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_inj__on__id,axiom,
% 192.19/192.17 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_of__int__eq__id,axiom,
% 192.19/192.17 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_surj__id,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_folding_Oempty,axiom,
% 192.19/192.17 ! [V_F_2,V_f_2,T_c,T_b] :
% 192.19/192.17 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 192.19/192.17 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_split__Pair,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setsum__reindex__id,axiom,
% 192.19/192.17 ! [V_B_2,V_f_2,T_b,T_c] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__add(T_c)
% 192.19/192.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setprod__reindex__id,axiom,
% 192.19/192.17 ! [V_B_2,V_f_2,T_b,T_c] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__mult(T_c)
% 192.19/192.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setprod__Sigma,axiom,
% 192.19/192.17 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__mult(T_d)
% 192.19/192.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 192.19/192.17 => 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)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setsum__Sigma,axiom,
% 192.19/192.17 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__add(T_d)
% 192.19/192.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 192.19/192.17 => 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)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_fold__image__Sigma,axiom,
% 192.19/192.17 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__mult(T_d)
% 192.19/192.17 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 192.19/192.17 => 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)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_card__SigmaI,axiom,
% 192.19/192.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 192.19/192.17 => 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) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__SigmaI,axiom,
% 192.19/192.17 ! [V_B_2,T_c,V_A_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.17 => ( ! [B_a] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 192.19/192.17 => 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))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_RangeE,axiom,
% 192.19/192.17 ! [V_r_2,T_c,V_b_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 192.19/192.17 => ~ ! [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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_SigmaE,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_c_2,T_c,T_b] :
% 192.19/192.17 ( 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)))
% 192.19/192.17 => ~ ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => ! [B_y] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 192.19/192.17 => V_c_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__Un,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 192.19/192.17 => ( 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))
% 192.19/192.17 => 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)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__surj,axiom,
% 192.19/192.17 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 192.19/192.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 => ( 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))
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_DomainI,axiom,
% 192.19/192.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__imageI,axiom,
% 192.19/192.17 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_R_2))
% 192.19/192.17 => 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair_Ocompositionality,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__compose,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair_Ocomp,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_snd__comp__map__pair,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_fst__comp__map__pair,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_fst__map__pair,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_snd__prod__fun,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__Id__on,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__simp,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__ident,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair_Oidentity,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__empty__iff,axiom,
% 192.19/192.17 ! [V_r_2,T_c,T_b] :
% 192.19/192.17 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__empty,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__mono,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 192.19/192.17 => 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__Un__eq,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__Domain,axiom,
% 192.19/192.17 ! [V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_fst__eq__Domain,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_apfst__def,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_apsnd__def,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair_Oid,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__def,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__iff,axiom,
% 192.19/192.17 ! [V_r_2,T_c,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 192.19/192.17 <=> ? [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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__insert,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__Int__subset,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__Diff__subset,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Field__def,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__surj__on,axiom,
% 192.19/192.17 ! [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] :
% 192.19/192.17 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 192.19/192.17 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__Collect__split,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__map__pair__image,axiom,
% 192.19/192.17 ! [V_f_2,T_c,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_map__pair__inj__on,axiom,
% 192.19/192.17 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 192.19/192.17 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.17 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 192.19/192.17 => 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))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_DomainP__Domain__eq,axiom,
% 192.19/192.17 ! [V_x_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_prod__fun__imageE,axiom,
% 192.19/192.17 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_c_2,T_c,T_b] :
% 192.19/192.17 ( 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)))
% 192.19/192.17 => ~ ! [B_x,B_y] :
% 192.19/192.17 ( 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))
% 192.19/192.17 => ~ 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_DomainE,axiom,
% 192.19/192.17 ! [V_r_2,T_c,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 192.19/192.17 => ~ ! [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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_DomainP_Ointros,axiom,
% 192.19/192.17 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 192.19/192.17 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_DomainP_Oequations,axiom,
% 192.19/192.17 ! [V_a1_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 192.19/192.17 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__def,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 192.19/192.17 & ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfP__def,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 192.19/192.17 <=> 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Rep__Integ__induct,axiom,
% 192.19/192.17 ! [V_Pa_2,V_y_2] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 192.19/192.17 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 192.19/192.17 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfP__empty,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__Id__on,axiom,
% 192.19/192.17 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfP__accp__iff,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 192.19/192.17 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_accp__wfPD,axiom,
% 192.19/192.17 ! [V_x_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 192.19/192.17 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfP__subset,axiom,
% 192.19/192.17 ! [V_p_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 192.19/192.17 => ( 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))
% 192.19/192.17 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__empty,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__Un,axiom,
% 192.19/192.17 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__Int,axiom,
% 192.19/192.17 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__onD,axiom,
% 192.19/192.17 ! [V_a_2,V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),V_r_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__onD1,axiom,
% 192.19/192.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__onD2,axiom,
% 192.19/192.17 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__in__rel,axiom,
% 192.19/192.17 ! [V_R_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_R_2)
% 192.19/192.17 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfP__wf__eq,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_reflp__def,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Predicate_Oreflp(T_b,V_r_2)
% 192.19/192.17 <=> 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))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__onI,axiom,
% 192.19/192.17 ! [V_A_2,V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 192.19/192.17 => ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) )
% 192.19/192.17 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfP__acyclicP,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_reflpE,axiom,
% 192.19/192.17 ! [V_x_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Predicate_Oreflp(T_b,V_r_2)
% 192.19/192.17 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acyclic__subset,axiom,
% 192.19/192.17 ! [V_r_2,V_s_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 192.19/192.17 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__acyclic,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__acyclic__wf,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 192.19/192.17 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 192.19/192.17 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Nitpick_Owf_H__def,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 192.19/192.17 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 192.19/192.17 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 192.19/192.17 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Rep__Integ__cases,axiom,
% 192.19/192.17 ! [V_y_2] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 192.19/192.17 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__def_H,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 <=> ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 192.19/192.17 => 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)) )
% 192.19/192.17 & ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_ball__empty,axiom,
% 192.19/192.17 ! [V_Pa_2,T_b,B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 192.19/192.17 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Powp__def,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 192.19/192.17 <=> ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 192.19/192.17 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_congruent__def,axiom,
% 192.19/192.17 ! [V_f_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 192.19/192.17 <=> ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Abs__Integ__induct,axiom,
% 192.19/192.17 ! [V_x_2,V_Pa_2] :
% 192.19/192.17 ( ! [B_y] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 192.19/192.17 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 192.19/192.17 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Abs__Integ__cases,axiom,
% 192.19/192.17 ! [V_x_2] :
% 192.19/192.17 ~ ! [B_y] :
% 192.19/192.17 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_inj__on__diff__nat,axiom,
% 192.19/192.17 ! [V_k_2,V_N_2] :
% 192.19/192.17 ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 192.19/192.17 => 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) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_triples__valid__Suc,axiom,
% 192.19/192.17 ! [V_n_2,V_ts_2,T_b] :
% 192.19/192.17 ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 192.19/192.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 192.19/192.17 => ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 192.19/192.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_hoare__valids__def,axiom,
% 192.19/192.17 ! [V_ts_2,V_Ga_2,T_b] :
% 192.19/192.17 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2)
% 192.19/192.17 <=> ! [B_n] :
% 192.19/192.17 ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2))
% 192.19/192.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 192.19/192.17 => ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 192.19/192.17 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfP__SUP,axiom,
% 192.19/192.17 ! [T_b,V_r_2,T_c] :
% 192.19/192.17 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 192.19/192.17 => ( ! [B_i,B_j] :
% 192.19/192.17 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 192.19/192.17 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),c_Predicate_ODomainP(T_c,T_c,hAPP(V_r_2,B_i))),c_Predicate_ORangeP(T_c,T_c,hAPP(V_r_2,B_j))) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 192.19/192.17 => c_Wellfounded_OwfP(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_c,tc_HOL_Obool))),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))),V_r_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_mem__splitI2,axiom,
% 192.19/192.17 ! [V_c_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 192.19/192.17 ( ! [B_a,B_b] :
% 192.19/192.17 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_c_2,B_a),B_b))) )
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_fun(T_d,tc_HOL_Obool)),V_c_2),V_p_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_mem__splitE,axiom,
% 192.19/192.17 ! [V_p_2,V_c_2,T_d,T_c,V_z_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,tc_fun(T_b,tc_HOL_Obool)),V_c_2),V_p_2)))
% 192.19/192.17 => ~ ! [B_x,B_y] :
% 192.19/192.17 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_c_2,B_x),B_y))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Eps__split,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wfI__pf,axiom,
% 192.19/192.17 ! [V_R_2,T_b] :
% 192.19/192.17 ( ! [B_A] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_A),hAPP(c_Relation_OImage(T_b,T_b,V_R_2),B_A)))
% 192.19/192.17 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 192.19/192.17 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Sigma__mono,axiom,
% 192.19/192.17 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 192.19/192.17 => ( ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,B_x)),hAPP(V_D_2,B_x))) )
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_C_2),V_D_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_tfl__some,axiom,
% 192.19/192.17 ! [T_b,B_P] :
% 192.19/192.17 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 192.19/192.17 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_someI,axiom,
% 192.19/192.17 ! [T_b,V_x_2,V_Pa_2] :
% 192.19/192.17 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.19/192.17 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_someI__ex,axiom,
% 192.19/192.17 ! [T_b,V_Pa_2] :
% 192.19/192.17 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 192.19/192.17 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_some__eq__ex,axiom,
% 192.19/192.17 ! [T_b,V_Pa_2] :
% 192.19/192.17 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 192.19/192.17 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_some__eq__trivial,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_some__sym__eq__trivial,axiom,
% 192.19/192.17 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_exE__some,axiom,
% 192.19/192.17 ! [T_b,V_c_2,V_Pa_2] :
% 192.19/192.17 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 192.19/192.17 => ( V_c_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 192.19/192.17 => hBOOL(hAPP(V_Pa_2,V_c_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Eps__split__eq,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_split__paired__Eps,axiom,
% 192.19/192.17 ! [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)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acc_OaccI,axiom,
% 192.19/192.17 ! [V_r_2,V_x_2,T_b] :
% 192.19/192.17 ( ! [B_y] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_x_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_not__acc__down,axiom,
% 192.19/192.17 ! [V_R_2,V_x_2,T_b] :
% 192.19/192.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 192.19/192.17 => ~ ! [B_z] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_x_2)),V_R_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_max__ext_Osimps,axiom,
% 192.19/192.17 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_Product__Type_OPair(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),V_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 192.19/192.17 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 192.19/192.17 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 192.19/192.17 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.19/192.17 & ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 192.19/192.17 => ? [B_xa] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__no__infinite__down__chainE,axiom,
% 192.19/192.17 ! [V_f_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => ~ ! [B_k] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_k))),hAPP(V_f_2,B_k))),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_setsum__reindex__cong,axiom,
% 192.19/192.17 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 192.19/192.17 ( class_Groups_Ocomm__monoid__add(T_d)
% 192.19/192.17 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.19/192.17 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 192.19/192.17 => ( ! [B_a] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 192.19/192.17 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 192.19/192.17 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_scomp__unfold,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_scomp__apply,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Pair__scomp,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_scomp__scomp,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_scomp__Pair,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_scomp__def,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_iterate_Osimps,axiom,
% 192.19/192.17 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 192.19/192.17 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.19/192.17 => 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) )
% 192.19/192.17 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_less__eq,axiom,
% 192.19/192.17 ! [V_n_2,V_m_2] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_nat__intermed__int__val,axiom,
% 192.19/192.17 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 192.19/192.17 ( ! [B_i] :
% 192.19/192.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 192.19/192.17 => 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))) )
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 192.19/192.17 => ? [B_i] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 192.19/192.17 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__trancl,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_less__than__def,axiom,
% 192.19/192.17 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acyclic__def,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 192.19/192.17 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl_Or__into__trancl,axiom,
% 192.19/192.17 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__subset__Field2,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__Int__subset,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_r__into__trancl_H,axiom,
% 192.19/192.17 ! [V_r_2,V_p_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__empty,axiom,
% 192.19/192.17 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__domain,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__range,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__trancl,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_r__r__into__trancl,axiom,
% 192.19/192.17 ! [V_c_2,V_R_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_R_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_R_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__into__trancl2,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__trans,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__mono,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__unfold,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__subset__Sigma,axiom,
% 192.19/192.17 ! [V_A_2,V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_log_Osimps,axiom,
% 192.19/192.17 ! [V_i,V_b] :
% 192.19/192.17 ( ( ( 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)))
% 192.19/192.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 192.19/192.17 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 192.19/192.17 & ( ~ ( 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)))
% 192.19/192.17 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 192.19/192.17 => 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))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_minus__shift__def,axiom,
% 192.19/192.17 ! [V_r,V_l,V_k] :
% 192.19/192.17 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 192.19/192.17 => 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) )
% 192.19/192.17 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 192.19/192.17 => 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) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_inc__shift__def,axiom,
% 192.19/192.17 ! [V_k,V_v] :
% 192.19/192.17 ( ( V_v = V_k
% 192.19/192.17 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 192.19/192.17 & ( V_v != V_k
% 192.19/192.17 => 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)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_range,axiom,
% 192.19/192.17 ! [V_s,V_k] :
% 192.19/192.17 ( 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))
% 192.19/192.17 => 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)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__insert,axiom,
% 192.19/192.17 ! [V_r_2,V_x_2,V_y_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(hAPP(c_COMBC(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),V_y_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b))),hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_reflcl__set__eq,axiom,
% 192.19/192.17 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(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)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_r__into__rtrancl,axiom,
% 192.19/192.17 ! [V_r_2,V_p_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 192.19/192.17 ! [V_r_2,V_a_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_IdI,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__into__rtrancl,axiom,
% 192.19/192.17 ! [V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__Int__subset,axiom,
% 192.19/192.17 ! [V_r_2,V_s_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),V_s_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__Un__subset,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__subset__rtrancl,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_s_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__subset,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_S_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 192.19/192.17 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__mono,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_s_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Image__closed__trancl,axiom,
% 192.19/192.17 ! [V_X_2,V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 192.19/192.17 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Id__O__R,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_R__O__Id,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Image__Id,axiom,
% 192.19/192.17 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__r__diff__Id,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__idemp,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__trans,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_in__rtrancl__UnI,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 192.19/192.17 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 192.19/192.17 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__reflcl,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__Un__rtrancl,axiom,
% 192.19/192.17 ! [V_S_2,V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) = c_Transitive__Closure_Ortrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2),V_S_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__reflcl__absorb,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__unfold,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Relation_OId(T_b)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_r__comp__rtrancl__eq,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__idemp__self__comp,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__empty,axiom,
% 192.19/192.17 ! [T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Relation_OId(T_b) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__rtrancl,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__rtrancl,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__rtrancl,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__unfold__right,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__unfold__left,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_reflcl__trancl,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__reflcl,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__rtrancl__absorb,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__trancl__absorb,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : c_Transitive__Closure_Otrancl(T_b,c_Transitive__Closure_Ortrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_pair__in__Id__conv,axiom,
% 192.19/192.17 ! [V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Relation_OId(T_b)))
% 192.19/192.17 <=> V_a_2 = V_b_2 ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__trancl__trancl,axiom,
% 192.19/192.17 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__rtrancl__trancl,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__into__trancl1,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtranclD,axiom,
% 192.19/192.17 ! [V_R_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 192.19/192.17 => ( V_a_2 = V_b_2
% 192.19/192.17 | ( V_a_2 != V_b_2
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__into__trancl2,axiom,
% 192.19/192.17 ! [V_c_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_c_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__eq__or__trancl,axiom,
% 192.19/192.17 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 192.19/192.17 <=> ( V_x_2 = V_y_2
% 192.19/192.17 | ( V_x_2 != V_y_2
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__Id,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__Id,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__Id,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_pair__leq__def,axiom,
% 192.19/192.17 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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Not__Domain__rtrancl,axiom,
% 192.19/192.17 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 192.19/192.17 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 192.19/192.17 <=> V_x_2 = V_y_2 ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acc__downwards__aux,axiom,
% 192.19/192.17 ! [V_r_2,V_a_2,V_b_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acc__downwards,axiom,
% 192.19/192.17 ! [V_b_2,V_r_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_a_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__insert,axiom,
% 192.19/192.17 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 192.19/192.17 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.19/192.17 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acyclic__insert,axiom,
% 192.19/192.17 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Oacyclic(T_b,hAPP(hAPP(c_Set_Oinsert(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),V_r_2))
% 192.19/192.17 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 192.19/192.17 & ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__reflcl,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Id__def,axiom,
% 192.19/192.17 ! [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))))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_irrefl__diff__Id,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_pred__nat__trancl__eq__le,axiom,
% 192.19/192.17 ! [V_n_2,V_m_2] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__subset__Sigma__aux,axiom,
% 192.19/192.17 ! [V_A_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 192.19/192.17 => ( V_a_2 = V_b_2
% 192.19/192.17 | hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_irrefl__tranclI,axiom,
% 192.19/192.17 ! [V_x_2,V_r_2,T_b] :
% 192.19/192.17 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_sequence__trans,axiom,
% 192.19/192.17 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 192.19/192.17 ( ! [B_i] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_i))),hAPP(V_f_2,B_i))),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2))),hAPP(V_f_2,V_i_2))),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_total__on__diff__Id,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( 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)))
% 192.19/192.17 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__Id,axiom,
% 192.19/192.17 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acyclic__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 192.19/192.17 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converseD,axiom,
% 192.19/192.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converseI,axiom,
% 192.19/192.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),V_r_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__iff,axiom,
% 192.19/192.17 ! [V_r_2,V_b_2,V_a_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_a_2)),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__UNION,axiom,
% 192.19/192.17 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__Id__on,axiom,
% 192.19/192.17 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 192.19/192.17 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_total__on__converse,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 192.19/192.17 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__Int,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__inv__image,axiom,
% 192.19/192.17 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Field__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__Un,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__rel__comp,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__converse,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 192.19/192.17 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__converse__trancl,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 192.19/192.17 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_equiv__comp__eq,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 192.19/192.17 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Domain__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Range__def,axiom,
% 192.19/192.17 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_total__on__empty,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__converseI,axiom,
% 192.19/192.17 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__converseD,axiom,
% 192.19/192.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__converseD,axiom,
% 192.19/192.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__converseI,axiom,
% 192.19/192.17 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Image__subset__eq,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 192.19/192.17 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_refl__on__comp__subset,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_comp__equivI,axiom,
% 192.19/192.17 ! [V_A_2,V_r_2,T_b] :
% 192.19/192.17 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 192.19/192.17 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 192.19/192.17 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_finite__acyclic__wf__converse,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 192.19/192.17 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 192.19/192.17 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_total__on__def,axiom,
% 192.19/192.17 ! [V_r_2,V_A_2,T_b] :
% 192.19/192.17 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 192.19/192.17 <=> ! [B_x] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.19/192.17 => ! [B_xa] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 192.19/192.17 => ( B_x != B_xa
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_r_2))
% 192.19/192.17 | 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)) ) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_converse__def,axiom,
% 192.19/192.17 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 192.19/192.17 ! [V_R_2,V_p_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_acyclicI,axiom,
% 192.19/192.17 ! [V_r_2,T_b] :
% 192.19/192.17 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 192.19/192.17 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_funpow__mult,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_funpow__swap1,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_wf__exp,axiom,
% 192.19/192.17 ! [V_R_2,V_n_2,T_b] :
% 192.19/192.17 ( 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))
% 192.19/192.17 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_comp__funpow,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__1,axiom,
% 192.19/192.17 ! [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 ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__commute,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__power,axiom,
% 192.19/192.17 ! [V_R_2,V_p_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 192.19/192.17 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__imp__rtrancl,axiom,
% 192.19/192.17 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_relpow_Osimps_I2_J,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__add,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_relpow_Osimps_I1_J,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__0__E,axiom,
% 192.19/192.17 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 192.19/192.17 => V_x_2 = V_y_2 ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__0__I,axiom,
% 192.19/192.17 ! [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))) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__Suc__I,axiom,
% 192.19/192.17 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),V_R_2))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__Suc__I2,axiom,
% 192.19/192.17 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_R_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 192.19/192.17 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_funpow_Osimps_I2_J,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_funpow__add,axiom,
% 192.19/192.17 ! [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)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_funpow_Osimps_I1_J,axiom,
% 192.19/192.17 ! [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) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_trancl__power,axiom,
% 192.19/192.17 ! [V_R_2,V_p_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 192.19/192.17 <=> ? [B_n] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 192.19/192.17 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 192.19/192.17 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_funpow__code__def,axiom,
% 192.19/192.17 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__E,axiom,
% 192.19/192.17 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 192.19/192.17 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.19/192.17 => V_x_2 != V_z_2 )
% 192.19/192.17 => ~ ! [B_y,B_m] :
% 192.19/192.17 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_rel__pow__E2,axiom,
% 192.19/192.17 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 192.19/192.17 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.19/192.17 => V_x_2 != V_z_2 )
% 192.19/192.17 => ~ ! [B_y,B_m] :
% 192.19/192.17 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 192.19/192.17 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_Image__Int__eq,axiom,
% 192.19/192.17 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 192.19/192.17 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 192.19/192.17 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valued__rel__pow,axiom,
% 192.19/192.17 ! [V_n_2,V_R_2,T_b] :
% 192.19/192.17 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 192.19/192.17 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valued__Id,axiom,
% 192.19/192.17 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valued__subset,axiom,
% 192.19/192.17 ! [V_s_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_r_2),V_s_2))
% 192.19/192.17 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 192.19/192.17 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valued__rel__comp,axiom,
% 192.19/192.17 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 192.19/192.17 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 192.19/192.17 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 192.19/192.17 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valued__Id__on,axiom,
% 192.19/192.17 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valuedD,axiom,
% 192.19/192.17 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 192.19/192.17 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 192.19/192.17 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 192.19/192.17 => V_y_2 = V_z_2 ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valued__def,axiom,
% 192.19/192.17 ! [V_r_2,T_c,T_b] :
% 192.19/192.17 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 192.19/192.17 <=> ! [B_x,B_y] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 192.19/192.17 => ! [B_z] :
% 192.19/192.17 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 192.19/192.17 => B_y = B_z ) ) ) ).
% 192.19/192.17
% 192.19/192.17 fof(fact_single__valued__confluent,axiom,
% 192.19/192.17 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 192.19/192.17 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 192.19/192.18 => ( 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)))
% 192.19/192.18 => ( 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)))
% 192.19/192.18 => ( 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)))
% 192.19/192.18 | 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))) ) ) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 192.19/192.18 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 192.19/192.18 ( 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))))
% 192.19/192.18 => ( ! [B_x] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ! [B_y] :
% 192.19/192.18 ( 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))
% 192.19/192.18 => B_y = B_x ) )
% 192.19/192.18 => 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))) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_rtrancl__Un__separatorE,axiom,
% 192.19/192.18 ! [V_Qa_2,V_Pa_2,V_b_2,V_a_2,T_b] :
% 192.19/192.18 ( 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))))
% 192.19/192.18 => ( ! [B_x] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ! [B_y] :
% 192.19/192.18 ( 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))
% 192.19/192.18 => B_x = B_y ) )
% 192.19/192.18 => 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))) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_rel__pow__Suc__D2,axiom,
% 192.19/192.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ? [B_y] :
% 192.19/192.18 ( 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))
% 192.19/192.18 & 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))) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_rel__pow__Suc__E2,axiom,
% 192.19/192.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ~ ! [B_y] :
% 192.19/192.18 ( 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))
% 192.19/192.18 => ~ 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))) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_rel__pow__Suc__E,axiom,
% 192.19/192.18 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ~ ! [B_y] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ~ 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)) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_tranclD,axiom,
% 192.19/192.18 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ? [B_z] :
% 192.19/192.18 ( 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))
% 192.19/192.18 & 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))) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_tranclD2,axiom,
% 192.19/192.18 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 => ? [B_z] :
% 192.19/192.18 ( 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)))
% 192.19/192.18 & 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)) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_IdE,axiom,
% 192.19/192.18 ! [V_p_2,T_b] :
% 192.19/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 192.19/192.18 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 192.19/192.18 ! [V_x_2,V_A_2,T_b] :
% 192.19/192.18 ( class_Orderings_Olinorder(T_b)
% 192.19/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.19/192.18 => 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) ) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_mod__div__decomp,axiom,
% 192.19/192.18 ! [V_b,V_a,T_a] :
% 192.19/192.18 ( class_Divides_Osemiring__div(T_a)
% 192.19/192.18 => V_a = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_b)),V_b)),c_Divides_Odiv__class_Omod(T_a,V_a,V_b)) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_fold__empty,axiom,
% 192.19/192.18 ! [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 ).
% 192.19/192.18
% 192.19/192.18 fof(fact_fold__image__def,axiom,
% 192.19/192.18 ! [V_g_2,V_f_2,T_c,T_b] : hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2) = c_Finite__Set_Ofold(T_c,T_b,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),V_f_2),V_g_2)) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_folding_Oeq__fold,axiom,
% 192.19/192.18 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 192.19/192.18 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 192.19/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.18 => 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) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_fold__def,axiom,
% 192.19/192.18 ! [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)) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_union__fold__insert,axiom,
% 192.19/192.18 ! [V_B_2,V_A_2,T_b] :
% 192.19/192.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.18 => 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) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_fold__sup__insert,axiom,
% 192.19/192.18 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 192.19/192.18 ( class_Lattices_Osemilattice__sup(T_b)
% 192.19/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.18 => 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)) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_fold__inf__insert,axiom,
% 192.19/192.18 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 192.19/192.18 ( class_Lattices_Osemilattice__inf(T_b)
% 192.19/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.18 => 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)) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_min__max_Ofold__inf__insert,axiom,
% 192.19/192.18 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 192.19/192.18 ( class_Orderings_Olinorder(T_b)
% 192.19/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.18 => 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)) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_min__max_Ofold__sup__insert,axiom,
% 192.19/192.18 ! [V_a_2,V_b_2,V_A_2,T_b] :
% 192.19/192.18 ( class_Orderings_Olinorder(T_b)
% 192.19/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.19/192.18 => 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)) ) ) ).
% 192.19/192.18
% 192.19/192.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 192.21/192.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 192.21/192.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_sup__SUPR__fold__sup,axiom,
% 192.21/192.18 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,V_F_2,V_f_2,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_sup__le__fold__sup,axiom,
% 192.21/192.18 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Osemilattice__sup(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fold__inf__le__inf,axiom,
% 192.21/192.18 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Osemilattice__inf(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 192.21/192.18 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 192.21/192.18 ! [V_b_2,V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fold1__eq__fold__idem,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Olattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Olattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_minus__fold__remove,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_Set_Oinsert(T_b)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2),V_A_2) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_folding__one_Oeq__fold_H,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_SUPR__fold__sup,axiom,
% 192.21/192.18 ! [V_f_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fold1__eq__fold,axiom,
% 192.21/192.18 ! [V_a_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Groups_Oab__semigroup__mult(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Olattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Olattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Min_Oeq__fold_H,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Max_Oeq__fold_H,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 192.21/192.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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)))))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 192.21/192.18 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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)))))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 192.21/192.18 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 192.21/192.18 => V_y_2 = V_x_2 ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm,axiom,
% 192.21/192.18 ! [T_b] :
% 192.21/192.18 ( class_Groups_Oab__semigroup__mult(T_b)
% 192.21/192.18 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 192.21/192.18 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 192.21/192.18 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => c_Finite__Set_Ofun__left__comm(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,T_c),T_d),V_f_2),V_g_2)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 192.21/192.18 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 192.21/192.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 192.21/192.18 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 192.21/192.18 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 192.21/192.18 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 192.21/192.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 192.21/192.18 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 192.21/192.18 ! [V_a_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => ? [B_y_H] :
% 192.21/192.18 ( V_y_2 = hAPP(hAPP(V_f_2,V_a_2),B_y_H)
% 192.21/192.18 & 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)) ) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INFI__fold__inf,axiom,
% 192.21/192.18 ! [V_f_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__D,axiom,
% 192.21/192.18 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__E,axiom,
% 192.21/192.18 ! [V_a_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_a_2)))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_a_2),V_A_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF1__D,axiom,
% 192.21/192.18 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF1__E,axiom,
% 192.21/192.18 ! [V_a_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_a_2),V_b_2))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF2__E,axiom,
% 192.21/192.18 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF2__D,axiom,
% 192.21/192.18 ! [V_a_2,V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_a_2),V_b_2),V_c_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__INT,axiom,
% 192.21/192.18 ! [V_A_2,T_c,V_I_2,T_b] :
% 192.21/192.18 ( ? [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 192.21/192.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Compl__UN,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Compl__INT,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I9_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I9_J,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_UN__simps_I7_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_UN__extend__simps_I7_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Image__INT__subset,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__insert,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF__INT__eq,axiom,
% 192.21/192.18 ! [V_x_2,V_r_2,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 <=> 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__insert__distrib,axiom,
% 192.21/192.18 ! [V_B_2,V_a_2,T_c,V_A_2,V_u_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I10_J,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I10_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_vimage__INT,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( 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))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 192.21/192.18 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b] :
% 192.21/192.18 ( 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)
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 192.21/192.18 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Pow__INT__eq,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF__commute,axiom,
% 192.21/192.18 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INFI__apply,axiom,
% 192.21/192.18 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__Int__distrib,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__iff,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF__INT__eq2,axiom,
% 192.21/192.18 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 <=> 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I5_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I5_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INFI__bool__eq,axiom,
% 192.21/192.18 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF__const,axiom,
% 192.21/192.18 ! [V_M_2,T_b,V_A_2,T_c] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 192.21/192.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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 ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__absorb,axiom,
% 192.21/192.18 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__constant,axiom,
% 192.21/192.18 ! [V_c_2,T_c,T_b,V_A_2] :
% 192.21/192.18 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) )
% 192.21/192.18 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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 ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__empty,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I2_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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 )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I1_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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 )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_le__INF__iff,axiom,
% 192.21/192.18 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( 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)))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__subset__iff,axiom,
% 192.21/192.18 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF__less__iff,axiom,
% 192.21/192.18 ! [V_a_2,V_f_2,V_A_2,T_c,T_b] :
% 192.21/192.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 & class_Orderings_Olinorder(T_b) )
% 192.21/192.18 => ( 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))
% 192.21/192.18 <=> ? [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 192.21/192.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_a_2)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__lower,axiom,
% 192.21/192.18 ! [V_B_2,T_c,V_A_2,V_a_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__Un,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Collect__ball__eq,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Un__INT__distrib2,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I6_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Un__INT__distrib,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I7_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I6_J,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I7_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_converse__INTER,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF__subset,axiom,
% 192.21/192.18 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INTER__def,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I2_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I1_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I3_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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) )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I3_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I4_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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 )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF__leI,axiom,
% 192.21/192.18 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__greaterThan__UNIV,axiom,
% 192.21/192.18 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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I4_J,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 192.21/192.18 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) )
% 192.21/192.18 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Image__INT__eq,axiom,
% 192.21/192.18 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 192.21/192.18 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 192.21/192.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_inf__INFI__fold__inf,axiom,
% 192.21/192.18 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__fold__inf,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),c_Orderings_Otop__class_Otop(T_b)),V_A_2) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__fold__sup,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__Inter,axiom,
% 192.21/192.18 ! [V_M_2,T_b] :
% 192.21/192.18 ( ? [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 192.21/192.18 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 192.21/192.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_UnionI,axiom,
% 192.21/192.18 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_InterD,axiom,
% 192.21/192.18 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_InterE,axiom,
% 192.21/192.18 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INTER__eq__Inter__image,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__image__eq,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF1__iff,axiom,
% 192.21/192.18 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INF2__iff,axiom,
% 192.21/192.18 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__extend__simps_I8_J,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_INT__simps_I8_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Un__Inter,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__upper,axiom,
% 192.21/192.18 ! [V_A_2,V_B_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__less__iff,axiom,
% 192.21/192.18 ! [V_a_2,V_S_2,T_b] :
% 192.21/192.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 & class_Orderings_Olinorder(T_b) )
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_a_2))
% 192.21/192.18 <=> ? [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 192.21/192.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_a_2)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_less__Sup__iff,axiom,
% 192.21/192.18 ! [V_S_2,V_a_2,T_b] :
% 192.21/192.18 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 & class_Orderings_Olinorder(T_b) )
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 192.21/192.18 <=> ? [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 192.21/192.18 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_a_2),B_x)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_le__Inf__iff,axiom,
% 192.21/192.18 ! [V_A_2,V_b_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__le__iff,axiom,
% 192.21/192.18 ! [V_b_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( 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))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__Pow__eq,axiom,
% 192.21/192.18 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OPow(T_b),V_A_2)) = V_A_2 ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__disjoint,axiom,
% 192.21/192.18 ! [V_A_2,V_C_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Field__Union,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Range__Union,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_image__Union,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Int__Union,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Int__Union2,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sigma__Union,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_UN__extend__simps_I8_J,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_UN__simps_I8_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_vimage__Union,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Domain__Union,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__lower,axiom,
% 192.21/192.18 ! [V_A_2,V_B_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__Inf,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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)))))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__Sup,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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))))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__empty,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__mono,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__quotient,axiom,
% 192.21/192.18 ! [V_r_2,V_A_2,T_b] :
% 192.21/192.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 192.21/192.18 => 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 ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__insert,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__UnionD,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 192.21/192.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_subset__Pow__Union,axiom,
% 192.21/192.18 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__anti__mono,axiom,
% 192.21/192.18 ! [V_A_2,V_B_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_B_2),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__empty,axiom,
% 192.21/192.18 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__eq,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__UNIV,axiom,
% 192.21/192.18 ! [T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__Un__distrib,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__insert,axiom,
% 192.21/192.18 ! [V_B_2,V_a_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_a_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_a_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_UNION__eq__Union__image,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__image__eq,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__upper,axiom,
% 192.21/192.18 ! [V_A_2,V_x_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__UNIV,axiom,
% 192.21/192.18 ! [T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__lower,axiom,
% 192.21/192.18 ! [V_A_2,V_x_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)),V_x_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__Un__distrib,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] : c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__empty,axiom,
% 192.21/192.18 ! [T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__singleton,axiom,
% 192.21/192.18 ! [V_a_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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 ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__insert,axiom,
% 192.21/192.18 ! [V_A_2,V_a_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Int__Inter__image,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__singleton,axiom,
% 192.21/192.18 ! [V_a_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_a_2 ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__UNIV,axiom,
% 192.21/192.18 ! [T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => c_Complete__Lattice_OSup__class_OSup(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__empty,axiom,
% 192.21/192.18 ! [T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__UNIV,axiom,
% 192.21/192.18 ! [T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => c_Complete__Lattice_OInf__class_OInf(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__insert,axiom,
% 192.21/192.18 ! [V_A_2,V_a_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Un__eq__Union,axiom,
% 192.21/192.18 ! [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))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Un__Union__image,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__Int__subset,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Int__eq__Inter,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(tc_fun(T_b,tc_HOL_Obool)),V_B_2),c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__Un__subset,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2))),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool)),V_A_2),V_B_2)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__binary,axiom,
% 192.21/192.18 ! [V_b_2,V_a_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__binary,axiom,
% 192.21/192.18 ! [V_b_2,V_a_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_a_2),V_b_2) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_sup__Sup__fold__sup,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Sup__fin__Sup,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_inf__Inf__fold__inf,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_B_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_B_2),V_A_2) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inf__fin__Inf,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_image__INT,axiom,
% 192.21/192.18 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 192.21/192.18 => 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)) )
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 192.21/192.18 => 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)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_card__partition,axiom,
% 192.21/192.18 ! [V_k_2,V_C_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 192.21/192.18 => ( ! [B_c] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 192.21/192.18 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 192.21/192.18 => ( ! [B_c1] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 192.21/192.18 => ! [B_c2] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 192.21/192.18 => ( B_c1 != B_c2
% 192.21/192.18 => 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)) ) ) )
% 192.21/192.18 => 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)) ) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__def,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Union__def,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__Union,axiom,
% 192.21/192.18 ! [V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 192.21/192.18 => ( ! [B_M] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 192.21/192.18 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_insert__partition,axiom,
% 192.21/192.18 ! [V_F_2,V_x_2,T_b] :
% 192.21/192.18 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ! [B_xa] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ( B_x != B_xa
% 192.21/192.18 => 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)) ) ) )
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_inj__on__Inter,axiom,
% 192.21/192.18 ! [V_f_2,T_c,T_b,V_S_2] :
% 192.21/192.18 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 192.21/192.18 => ( ! [B_A] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 192.21/192.18 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Inter__subset,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] :
% 192.21/192.18 ( ! [B_X] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 192.21/192.18 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_A_2)),V_B_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_inj__on__INTER,axiom,
% 192.21/192.18 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 192.21/192.18 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.18 => ( ! [B_i] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 192.21/192.18 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 192.21/192.18 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.18 => ( 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))
% 192.21/192.18 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 => ~ ! [B_y] :
% 192.21/192.18 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 192.21/192.18 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 192.21/192.18 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 192.21/192.18 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Orderings_Olinorder(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_InterI,axiom,
% 192.21/192.18 ! [V_A_2,V_C_2,T_b] :
% 192.21/192.18 ( ! [B_X] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_C_2))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_inf__le__fold__inf,axiom,
% 192.21/192.18 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Osemilattice__inf(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_fold__sup__le__sup,axiom,
% 192.21/192.18 ! [V_c_2,V_b_2,V_A_2,T_b] :
% 192.21/192.18 ( class_Lattices_Osemilattice__sup(T_b)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 192.21/192.18 => 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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_wf__eq__minimal,axiom,
% 192.21/192.18 ! [V_r_2,T_b] :
% 192.21/192.18 ( c_Wellfounded_Owf(T_b,V_r_2)
% 192.21/192.18 <=> ! [B_Q] :
% 192.21/192.18 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 192.21/192.18 => ? [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 192.21/192.18 & ! [B_y] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 192.21/192.18 => 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)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_transfer__nat__int__set__cong,axiom,
% 192.21/192.18 ! [V_P_H_2,V_Pa_2] :
% 192.21/192.18 ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 192.21/192.18 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 192.21/192.18 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 192.21/192.18 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 192.21/192.18 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 192.21/192.18 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 192.21/192.18 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 192.21/192.18 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 192.21/192.18 => 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) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Int__Collect__mono,axiom,
% 192.21/192.18 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 192.21/192.18 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 192.21/192.18 => 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)))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_UnionE,axiom,
% 192.21/192.18 ! [V_C_2,V_A_2,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ~ ! [B_X] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_converseE,axiom,
% 192.21/192.18 ! [V_r_2,V_yx_2,T_c,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ~ ! [B_x,B_y] :
% 192.21/192.18 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 192.21/192.18 => ~ 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_rel__compE,axiom,
% 192.21/192.18 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ~ ! [B_x,B_y,B_z] :
% 192.21/192.18 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 192.21/192.18 => ( 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))
% 192.21/192.18 => ~ 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)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_setprod__pos,axiom,
% 192.21/192.18 ! [V_f_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( class_Rings_Olinordered__semidom(T_c)
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Oof__frac__def,axiom,
% 192.21/192.18 ! [V_q,T_a,T_b] :
% 192.21/192.18 ( ( class_Rings_Oinverse(T_b)
% 192.21/192.18 & class_Rings_Oring__1(T_b) )
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Oless__frac__def,axiom,
% 192.21/192.18 ! [V_r_2,V_q_2,T_b] :
% 192.21/192.18 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 192.21/192.18 <=> 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 192.21/192.18 ! [V_r_2,V_q_2,T_b] :
% 192.21/192.18 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 192.21/192.18 <=> 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Odenom__def,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Nitpick_Onum__def,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_internal__split__def,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_setprod__nonneg,axiom,
% 192.21/192.18 ! [V_f_2,V_A_2,T_b,T_c] :
% 192.21/192.18 ( class_Rings_Olinordered__semidom(T_c)
% 192.21/192.18 => ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_internal__split__conv,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_bool_Osize_I1_J,axiom,
% 192.21/192.18 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_bool_Osize_I2_J,axiom,
% 192.21/192.18 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__less__ub,axiom,
% 192.21/192.18 ! [V_u_2,V_f_2] :
% 192.21/192.18 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 192.21/192.18 => 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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lenlex__def,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_neq__if__length__neq,axiom,
% 192.21/192.18 ! [V_ys,V_xs,T_a] :
% 192.21/192.18 ( 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)
% 192.21/192.18 => V_xs != V_ys ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lexn__length,axiom,
% 192.21/192.18 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 192.21/192.18 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lenlex__conv,axiom,
% 192.21/192.18 ! [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)))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_length__sublist,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lexn_Osimps_I2_J,axiom,
% 192.21/192.18 ! [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)))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_impossible__Cons,axiom,
% 192.21/192.18 ! [V_x,V_ys,V_xs,T_a] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list_Oinject,axiom,
% 192.21/192.18 ! [V_list_H_2,V_a_H_2,V_list_2,V_a_2,T_b] :
% 192.21/192.18 ( 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)
% 192.21/192.18 <=> ( V_a_2 = V_a_H_2
% 192.21/192.18 & V_list_2 = V_list_H_2 ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_not__Cons__self2,axiom,
% 192.21/192.18 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 192.21/192.18
% 192.21/192.18 fof(fact_not__Cons__self,axiom,
% 192.21/192.18 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list_Osize_I4_J,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Cons__in__lex,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 <=> ( ( 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))
% 192.21/192.18 & 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) )
% 192.21/192.18 | ( V_x_2 = V_y_2
% 192.21/192.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__Cons__def,axiom,
% 192.21/192.18 ! [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)))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_pick_Osimps,axiom,
% 192.21/192.18 ! [V_xs,V_x,T_a,V_i] :
% 192.21/192.18 ( ( 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)))
% 192.21/192.18 => 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) )
% 192.21/192.18 & ( ~ 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)))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_select__weight__cons__zero,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lexord__cons__cons,axiom,
% 192.21/192.18 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_a_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 <=> ( 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))
% 192.21/192.18 | ( V_a_2 = V_b_2
% 192.21/192.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lexord__lex,axiom,
% 192.21/192.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 & 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 192.21/192.18 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list_Osize_I2_J,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Cons__acc__listrel1I,axiom,
% 192.21/192.18 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 192.21/192.18 => ( 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))))
% 192.21/192.18 => 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)))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel1__converse,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel1__mono,axiom,
% 192.21/192.18 ! [V_s_2,V_r_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel1I2,axiom,
% 192.21/192.18 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 192.21/192.18 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel1__eq__len,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 192.21/192.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_in__listrel1__converse,axiom,
% 192.21/192.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 192.21/192.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Cons__listrel1__Cons,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 <=> ( ( 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))
% 192.21/192.18 & V_xs_2 = V_ys_2 )
% 192.21/192.18 | ( V_x_2 = V_y_2
% 192.21/192.18 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel1I1,axiom,
% 192.21/192.18 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__Cons,axiom,
% 192.21/192.18 ! [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))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lexord__linear,axiom,
% 192.21/192.18 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 192.21/192.18 ( ! [B_a,B_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 | B_a = B_b
% 192.21/192.18 | 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)) )
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 | V_x_2 = V_y_2
% 192.21/192.18 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__rtrancl__refl,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__mono,axiom,
% 192.21/192.18 ! [V_s_2,V_r_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__eq__len,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__rtrancl__trans,axiom,
% 192.21/192.18 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel1__subset__listrel,axiom,
% 192.21/192.18 ! [V_r_H_2,V_r_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel_OCons,axiom,
% 192.21/192.18 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrelp__listrel__eq,axiom,
% 192.21/192.18 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 192.21/192.18 ( 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)
% 192.21/192.18 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__Cons1,axiom,
% 192.21/192.18 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => ~ ! [B_y,B_ys] :
% 192.21/192.18 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 192.21/192.18 => ( 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))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrelp_Oequations_I2_J,axiom,
% 192.21/192.18 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 192.21/192.18 ( 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))
% 192.21/192.18 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 192.21/192.18 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrelp_OCons,axiom,
% 192.21/192.18 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 192.21/192.18 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__Cons2,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 => ~ ! [B_x,B_xs] :
% 192.21/192.18 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 192.21/192.18 => ( 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))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__subset,axiom,
% 192.21/192.18 ! [V_A_2,V_r_2,T_b] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => 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))))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lists__UNIV,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lists__mono,axiom,
% 192.21/192.18 ! [V_B_2,V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_equiv__listrel,axiom,
% 192.21/192.18 ! [V_r_2,V_A_2,T_b] :
% 192.21/192.18 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__refl__on,axiom,
% 192.21/192.18 ! [V_r_2,V_A_2,T_b] :
% 192.21/192.18 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_Cons__in__lists__iff,axiom,
% 192.21/192.18 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.18 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lists__accD,axiom,
% 192.21/192.18 ! [V_r_2,V_xs_2,T_b] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => 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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lists__accI,axiom,
% 192.21/192.18 ! [V_r_2,V_xs_2,T_b] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => 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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__iff__nth,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 <=> ( 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)
% 192.21/192.18 & ! [B_n] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => 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)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lexord__irreflexive,axiom,
% 192.21/192.18 ! [V_y_2,V_r_2,T_b] :
% 192.21/192.18 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_infinite__UNIV__listI,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list__eq__iff__nth__eq,axiom,
% 192.21/192.18 ! [T_b,V_ys_2,V_xs_2] :
% 192.21/192.18 ( V_xs_2 = V_ys_2
% 192.21/192.18 <=> ( 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)
% 192.21/192.18 & ! [B_i] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__Cons__0,axiom,
% 192.21/192.18 ! [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 ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__Cons__Suc,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth_Osimps,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__Cons_H,axiom,
% 192.21/192.18 ! [V_xs,V_x,T_a,V_n] :
% 192.21/192.18 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.18 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 192.21/192.18 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__Cons__number__of,axiom,
% 192.21/192.18 ! [V_xs,V_x,T_a,V_v] :
% 192.21/192.18 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.18 => 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 )
% 192.21/192.18 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lexord__take__index__conv,axiom,
% 192.21/192.18 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 <=> ( ( 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)))
% 192.21/192.18 & 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 )
% 192.21/192.18 | ? [B_i] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 192.21/192.18 & 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)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__sublist,axiom,
% 192.21/192.18 ! [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))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__set,axiom,
% 192.21/192.18 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__subset__Cons,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_take__all,axiom,
% 192.21/192.18 ! [V_n,V_xs,T_a] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__take__subset,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__take__subset__set__take,axiom,
% 192.21/192.18 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 192.21/192.18 => 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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__sublist__subset,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__take,axiom,
% 192.21/192.18 ! [V_xs,T_a,V_n,V_i] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_take__Suc__Cons,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__ConsD,axiom,
% 192.21/192.18 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => ( V_y_2 = V_x_2
% 192.21/192.18 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_in__set__sublistD,axiom,
% 192.21/192.18 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_in__set__takeD,axiom,
% 192.21/192.18 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_notin__set__sublistI,axiom,
% 192.21/192.18 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => ~ 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)))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_sublist__upt__eq__take,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_length__take,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_take__take,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_card__length,axiom,
% 192.21/192.18 ! [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))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_all__set__conv__all__nth,axiom,
% 192.21/192.18 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.18 ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.18 <=> ! [B_i] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list__size__estimation,axiom,
% 192.21/192.18 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list__size__estimation_H,axiom,
% 192.21/192.18 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 192.21/192.18 => 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))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_in__lists__conv__set,axiom,
% 192.21/192.18 ! [V_A_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_length__pos__if__in__set,axiom,
% 192.21/192.18 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_in__set__conv__nth,axiom,
% 192.21/192.18 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 <=> ? [B_i] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__mem,axiom,
% 192.21/192.18 ! [V_xs_2,T_b,V_n_2] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_lists__eq__set,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__conv__nth,axiom,
% 192.21/192.18 ! [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))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__lists__length__eq,axiom,
% 192.21/192.18 ! [V_n_2,V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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))))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_finite__lists__length__le,axiom,
% 192.21/192.18 ! [V_n_2,V_A_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.18 => 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))))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listrel__iff__zip,axiom,
% 192.21/192.18 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.18 <=> ( 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)
% 192.21/192.18 & ! [B_x] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => 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)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__zip,axiom,
% 192.21/192.18 ! [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)))))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_take__zip,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_length__zip,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_zip__Cons__Cons,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list__eq__iff__zip__eq,axiom,
% 192.21/192.18 ! [T_b,V_ys_2,V_xs_2] :
% 192.21/192.18 ( V_xs_2 = V_ys_2
% 192.21/192.18 <=> ( 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)
% 192.21/192.18 & ! [B_x] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_in__set__zipE,axiom,
% 192.21/192.18 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 192.21/192.18 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__zip__rightD,axiom,
% 192.21/192.18 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__zip__leftD,axiom,
% 192.21/192.18 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_zip__same,axiom,
% 192.21/192.18 ! [V_xs_2,V_b_2,V_a_2,T_b] :
% 192.21/192.18 ( 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))))
% 192.21/192.18 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 & V_a_2 = V_b_2 ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__zip,axiom,
% 192.21/192.18 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => ( 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)))
% 192.21/192.18 => 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)) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_greaterThanLessThan__upto,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listsum__setsum__nth,axiom,
% 192.21/192.18 ! [V_xs_2,T_b] :
% 192.21/192.18 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_set__upto,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_atLeastAtMost__upto,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 192.21/192.18 ! [V_ns_2] :
% 192.21/192.18 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.18 <=> ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 192.21/192.18 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_elem__le__listsum__nat,axiom,
% 192.21/192.18 ! [V_ns,V_k] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listsum__simps_I2_J,axiom,
% 192.21/192.18 ! [V_xs,V_x,T_a] :
% 192.21/192.18 ( class_Groups_Omonoid__add(T_a)
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_atLeastLessThan__upto,axiom,
% 192.21/192.18 ! [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)))) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_greaterThanAtMost__upto,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nat__list__def,axiom,
% 192.21/192.18 ! [V_l_2] :
% 192.21/192.18 ( c_List_Onat__list(V_l_2)
% 192.21/192.18 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list__size__pointwise,axiom,
% 192.21/192.18 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 192.21/192.18 ( ! [B_x] :
% 192.21/192.18 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.18 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 192.21/192.18 => 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))) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_listsum__update__nat,axiom,
% 192.21/192.18 ! [V_n,V_ns,V_k] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => 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)) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_butlast__take,axiom,
% 192.21/192.18 ! [V_xs,T_a,V_n] :
% 192.21/192.18 ( 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)))
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list__update__beyond,axiom,
% 192.21/192.18 ! [V_x,V_i,V_xs,T_a] :
% 192.21/192.18 ( 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))
% 192.21/192.18 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_list__update__id,axiom,
% 192.21/192.18 ! [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 ).
% 192.21/192.18
% 192.21/192.18 fof(fact_nth__list__update__neq,axiom,
% 192.21/192.18 ! [V_x,V_xs,T_a,V_j,V_i] :
% 192.21/192.18 ( V_i != V_j
% 192.21/192.18 => 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) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_length__list__update,axiom,
% 192.21/192.18 ! [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) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_butlast__list__update,axiom,
% 192.21/192.18 ! [V_x,V_xs,T_a,V_k] :
% 192.21/192.18 ( ( 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))
% 192.21/192.18 => 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) )
% 192.21/192.18 & ( 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))
% 192.21/192.18 => 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) ) ) ).
% 192.21/192.18
% 192.21/192.18 fof(fact_zip__update,axiom,
% 192.21/192.18 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_update__zip,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__swap,axiom,
% 192.21/192.19 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 192.21/192.19 ( V_i != V_i_H
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__overwrite,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__code_I2_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__code_I3_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_in__set__butlastD,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__update__subsetI,axiom,
% 192.21/192.19 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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))
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__update__subset__insert,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__list__update,axiom,
% 192.21/192.19 ! [V_x,V_j,V_xs,T_a,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( ( V_i = V_j
% 192.21/192.19 => 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 )
% 192.21/192.19 & ( V_i != V_j
% 192.21/192.19 => 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) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__same__conv,axiom,
% 192.21/192.19 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 192.21/192.19 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__list__update__eq,axiom,
% 192.21/192.19 ! [V_x,V_xs,T_a,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__butlast,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_n] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__butlast,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__update__memI,axiom,
% 192.21/192.19 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_butlast__conv__take,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrel1__iff__update,axiom,
% 192.21/192.19 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 <=> ? [B_y,B_n] :
% 192.21/192.19 ( 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))
% 192.21/192.19 & 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)))
% 192.21/192.19 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__list__update,axiom,
% 192.21/192.19 ! [V_i_2,V_a_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => ( ~ 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))))))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_a_2))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__upto,axiom,
% 192.21/192.19 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__take,axiom,
% 192.21/192.19 ! [V_i,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__sublistI,axiom,
% 192.21/192.19 ! [V_I_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__zipI2,axiom,
% 192.21/192.19 ! [V_xs,T_b,V_ys,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__zipI1,axiom,
% 192.21/192.19 ! [V_ys,T_b,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct_Osimps_I2_J,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 192.21/192.19 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_card__distinct,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__card,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__conv__nth,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 <=> ! [B_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ! [B_j] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( B_i != B_j
% 192.21/192.19 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__eq__iff__index__eq,axiom,
% 192.21/192.19 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => ( 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)
% 192.21/192.19 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nitpick_Ocard_H__def,axiom,
% 192.21/192.19 ! [V_A_2,T_b] :
% 192.21/192.19 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.19 => 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)))) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.19 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__take__lemma,axiom,
% 192.21/192.19 ! [V_ys,V_xs,T_a,V_k] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => ( ! [B_i] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 192.21/192.19 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 192.21/192.19 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__remove1__eq,axiom,
% 192.21/192.19 ! [V_x_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__Cons__number__of,axiom,
% 192.21/192.19 ! [V_xs,V_x,T_a,V_v] :
% 192.21/192.19 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lists_ONil,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrel__Nil2,axiom,
% 192.21/192.19 ! [V_r_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrel__Nil1,axiom,
% 192.21/192.19 ! [V_r_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__butlast,axiom,
% 192.21/192.19 ! [T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct_Osimps_I1_J,axiom,
% 192.21/192.19 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__remove1,axiom,
% 192.21/192.19 ! [V_x,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_butlast_Osimps_I1_J,axiom,
% 192.21/192.19 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_butlast_Osimps_I2_J,axiom,
% 192.21/192.19 ! [V_x,T_a,V_xs] :
% 192.21/192.19 ( ( V_xs = c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 192.21/192.19 & ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1_Osimps_I2_J,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_y,V_x] :
% 192.21/192.19 ( ( V_x = V_y
% 192.21/192.19 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 192.21/192.19 & ( V_x != V_y
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list_Osimps_I3_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upto__empty,axiom,
% 192.21/192.19 ! [V_i,V_j] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 192.21/192.19 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__0,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__eq__Nil,axiom,
% 192.21/192.19 ! [V_xs_2,V_n_2,T_b] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__Nil,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__nil,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1_Osimps_I1_J,axiom,
% 192.21/192.19 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1__commute,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list_Osize_I1_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrelp_ONil,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrelp_Oequations_I1_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__Nil,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__simps_I1_J,axiom,
% 192.21/192.19 ! [T_a] :
% 192.21/192.19 ( class_Groups_Omonoid__add(T_a)
% 192.21/192.19 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__0__conv,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list_Osize_I3_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__empty,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__empty2,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1__idem,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_notin__set__remove1,axiom,
% 192.21/192.19 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => ~ 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_in__set__remove1,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_b_2,V_a_2] :
% 192.21/192.19 ( V_a_2 != V_b_2
% 192.21/192.19 => ( 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))))
% 192.21/192.19 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__nonempty,axiom,
% 192.21/192.19 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__code_I1_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__empty,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__remove1__subset,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__greater__0__conv,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__1__Cons,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_not__listrel1__Nil,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_not__Nil__listrel1,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrel_ONil,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lexord__Nil__right,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nil2__notin__lex,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nil__notin__lex,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__Cons,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upto_Osimps,axiom,
% 192.21/192.19 ! [V_j,V_i] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 192.21/192.19 => 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)) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 192.21/192.19 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__singleton,axiom,
% 192.21/192.19 ! [V_x_2,T_b,V_A_2] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 192.21/192.19 => 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)) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lists__empty,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__Cons_H,axiom,
% 192.21/192.19 ! [V_xs,V_x,T_a,V_n] :
% 192.21/192.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upto__rec__number__of,axiom,
% 192.21/192.19 ! [V_n,V_m] :
% 192.21/192.19 ( ( 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)))
% 192.21/192.19 => 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))) )
% 192.21/192.19 & ( ~ 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)))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrel__Nil,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__Cons__sing__Nil,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__remove1,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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)) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upto_Opsimps,axiom,
% 192.21/192.19 ! [V_j_2,V_i_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 192.21/192.19 => 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)) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 192.21/192.19 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_select,axiom,
% 192.21/192.19 ! [V_s_2,T_b,V_xs_2] :
% 192.21/192.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listset_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__Cons1,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list_Osimps_I5_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list_Osimps_I4_J,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listset_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__Cons,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__list__of__set__remove,axiom,
% 192.21/192.19 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upto_Opinduct,axiom,
% 192.21/192.19 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( ! [B_i,B_j] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 192.21/192.19 => 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)) )
% 192.21/192.19 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 192.21/192.19 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__list__of__set__empty,axiom,
% 192.21/192.19 ! [T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_anamorph_Osimps,axiom,
% 192.21/192.19 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 192.21/192.19 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__Cons,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append1__eq__conv,axiom,
% 192.21/192.19 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 <=> ( V_xs_2 = V_ys_2
% 192.21/192.19 & V_x_2 = V_y_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Cons__eq__append__conv,axiom,
% 192.21/192.19 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 192.21/192.19 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 192.21/192.19 | ? [B_ys_H] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 192.21/192.19 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__eq__Cons__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 192.21/192.19 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 192.21/192.19 | ? [B_ys_H] :
% 192.21/192.19 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 192.21/192.19 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Cons__eq__appendI,axiom,
% 192.21/192.19 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 192.21/192.19 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 192.21/192.19 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__Cons,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__in__lists__conv,axiom,
% 192.21/192.19 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 192.21/192.19 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__assoc,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__eq__append__conv2,axiom,
% 192.21/192.19 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> ? [B_us] :
% 192.21/192.19 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 192.21/192.19 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 192.21/192.19 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 192.21/192.19 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_same__append__eq,axiom,
% 192.21/192.19 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> V_ys_2 = V_zs_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__same__eq,axiom,
% 192.21/192.19 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> V_ys_2 = V_zs_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__eq__appendI,axiom,
% 192.21/192.19 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 192.21/192.19 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 192.21/192.19 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__append,axiom,
% 192.21/192.19 ! [V_ys,V_xs,T_a] :
% 192.21/192.19 ( class_Groups_Omonoid__add(T_a)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__append,axiom,
% 192.21/192.19 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => ( 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)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_eq__Nil__appendI,axiom,
% 192.21/192.19 ! [T_a,V_ys,V_xs] :
% 192.21/192.19 ( V_xs = V_ys
% 192.21/192.19 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__self__conv2,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__self__conv,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 192.21/192.19 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__is__Nil__conv,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 192.21/192.19 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_self__append__conv2,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_ys_2] :
% 192.21/192.19 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_self__append__conv,axiom,
% 192.21/192.19 ! [V_ys_2,T_b,V_xs_2] :
% 192.21/192.19 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 192.21/192.19 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__Nil2,axiom,
% 192.21/192.19 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nil__is__append__conv,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 192.21/192.19 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 192.21/192.19 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__Nil,axiom,
% 192.21/192.19 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 192.21/192.19
% 192.21/192.19 fof(fact_butlast__append,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_ys] :
% 192.21/192.19 ( ( V_ys = c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 192.21/192.19 & ( V_ys != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__append__length,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__append__length__plus,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__append1,axiom,
% 192.21/192.19 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__length,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1__append,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_in__set__butlast__appendI,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 192.21/192.19 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 192.21/192.19 => 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))))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_butlast__snoc,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__listrel1I,axiom,
% 192.21/192.19 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 & V_us_2 = V_vs_2 )
% 192.21/192.19 | ( V_xs_2 = V_ys_2
% 192.21/192.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) )
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lexord__append__leftI,axiom,
% 192.21/192.19 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__append,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 192.21/192.19 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 192.21/192.19 & 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__append,axiom,
% 192.21/192.19 ! [V_ys,V_xs,T_a,V_n] :
% 192.21/192.19 ( ( 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)))
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( ~ 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)))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__update__append,axiom,
% 192.21/192.19 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 192.21/192.19 ( ( 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)))
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( ~ 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)))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__append,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrel1I,axiom,
% 192.21/192.19 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2))
% 192.21/192.19 => ( 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))
% 192.21/192.19 => ( 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))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lexord__append__left__rightI,axiom,
% 192.21/192.19 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_a_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__Suc__conv__app__nth,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 192.21/192.19 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 & V_x_2 = V_y_2 )
% 192.21/192.19 | ( V_xs_2 = V_ys_2
% 192.21/192.19 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),V_r_2)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listrel1E,axiom,
% 192.21/192.19 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 => ~ ! [B_x,B_y] :
% 192.21/192.19 ( 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))
% 192.21/192.19 => ! [B_us,B_vs] :
% 192.21/192.19 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 192.21/192.19 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lexord__append__leftD,axiom,
% 192.21/192.19 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 => ( ! [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))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate1__def,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upd__conv__take__nth__drop,axiom,
% 192.21/192.19 ! [V_a,V_xs,T_a,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__take__drop__id,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__1__Cons,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__Suc__Cons,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__via__drop,axiom,
% 192.21/192.19 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 192.21/192.19 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct1__rotate,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 192.21/192.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__drop,axiom,
% 192.21/192.19 ! [V_i,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__butlast,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_butlast__drop,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__drop,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__take,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__drop,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__0,axiom,
% 192.21/192.19 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__zip,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__drop,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__rotate1,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__rotate1,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_in__set__dropD,axiom,
% 192.21/192.19 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__drop__subset,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate1__is__Nil__conv,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__Nil,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__drop__subset__set__drop,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 192.21/192.19 => 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__eq__Nil,axiom,
% 192.21/192.19 ! [V_xs_2,V_n_2,T_b] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__all,axiom,
% 192.21/192.19 ! [V_n,V_xs,T_a] :
% 192.21/192.19 ( 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))
% 192.21/192.19 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__eq__conv__conj,axiom,
% 192.21/192.19 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 192.21/192.19 <=> ( 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)
% 192.21/192.19 & 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__Cons,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__Cons_H,axiom,
% 192.21/192.19 ! [V_xs,V_x,T_a,V_n] :
% 192.21/192.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__drop,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_i,V_n] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__eq__append__conv__if,axiom,
% 192.21/192.19 ! [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] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> ( ( 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)))
% 192.21/192.19 => ( 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)
% 192.21/192.19 & 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) ) )
% 192.21/192.19 & ( ~ 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)))
% 192.21/192.19 => ( 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
% 192.21/192.19 & 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 ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__drop_H,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__simps,axiom,
% 192.21/192.19 ! [V_xs,V_x,T_b,T_a] :
% 192.21/192.19 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 192.21/192.19 & 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__Cons__number__of,axiom,
% 192.21/192.19 ! [V_xs,V_x,T_a,V_v] :
% 192.21/192.19 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__add,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_j,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate1__length01,axiom,
% 192.21/192.19 ! [V_xs,T_a] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__append1,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__append2,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_id__take__nth__drop,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__hd__drop,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_n] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__drop__conv__nth,axiom,
% 192.21/192.19 ! [V_n,T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd_Osimps,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__append,axiom,
% 192.21/192.19 ! [V_ys,T_a,V_xs] :
% 192.21/192.19 ( ( V_xs = c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__append2,axiom,
% 192.21/192.19 ! [V_ys,T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__in__set,axiom,
% 192.21/192.19 ! [T_b,V_xs_2] :
% 192.21/192.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__conv__nth,axiom,
% 192.21/192.19 ! [T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate1__hd__tl,axiom,
% 192.21/192.19 ! [T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__rotate__conv__nth,axiom,
% 192.21/192.19 ! [V_n,T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_tl__drop,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__tl,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_tl_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__rotate,axiom,
% 192.21/192.19 ! [V_xs_2,V_n_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 192.21/192.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__tl,axiom,
% 192.21/192.19 ! [V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__add,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__rotate,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate0,axiom,
% 192.21/192.19 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__rotate,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__rotate,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__is__Nil__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_n_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_tl_Osimps_I1_J,axiom,
% 192.21/192.19 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate1__rotate__swap,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__def,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_tl__append2,axiom,
% 192.21/192.19 ! [V_ys,T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__tl,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__conv__mod,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__Suc,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__Suc,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_tl__append,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__id,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_n] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__length01,axiom,
% 192.21/192.19 ! [V_n,V_xs,T_a] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__tl,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_tl__take,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__Suc,axiom,
% 192.21/192.19 ! [V_n,T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__drop__take,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_fold1__set,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 192.21/192.19 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lexord__append__rightI,axiom,
% 192.21/192.19 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 192.21/192.19 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__Nil,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_start__le__sum,axiom,
% 192.21/192.19 ! [V_ns_2,V_n_2,V_m_2] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__assoc,axiom,
% 192.21/192.19 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Groups_Osemigroup__add(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__absorb0,axiom,
% 192.21/192.19 ! [V_zs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Groups_Omonoid__add(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__Cons,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__append,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__foldl,axiom,
% 192.21/192.19 ! [T_b] :
% 192.21/192.19 ( class_Groups_Omonoid__add(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sum__eq__0__conv,axiom,
% 192.21/192.19 ! [V_ns_2,V_m_2] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 & ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 192.21/192.19 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 192.21/192.19 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Sup__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Inf__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Sup__fin__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Lattices_Olattice(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Inf__fin__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Lattices_Olattice(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Min__fin__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Max__fin__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_SUPR__set__fold,axiom,
% 192.21/192.19 ! [V_f_2,V_xs_2,T_c,T_b] :
% 192.21/192.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_INFI__set__fold,axiom,
% 192.21/192.19 ! [V_f_2,V_xs_2,T_c,T_b] :
% 192.21/192.19 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_elem__le__sum,axiom,
% 192.21/192.19 ! [V_ns_2,V_n_2] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__list__of__set__insert,axiom,
% 192.21/192.19 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.19 => 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)))))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lexord__Nil__left,axiom,
% 192.21/192.19 ! [V_r_2,V_y_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.19 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__key_Osimps_I1_J,axiom,
% 192.21/192.19 ! [V_x_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__key_Osimps_I2_J,axiom,
% 192.21/192.19 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( ( 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)))
% 192.21/192.19 => 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)) )
% 192.21/192.19 & ( ~ 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)))
% 192.21/192.19 => 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)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__key__left__comm,axiom,
% 192.21/192.19 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__left__comm,axiom,
% 192.21/192.19 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_fun__left__comm__insort,axiom,
% 192.21/192.19 ! [T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__insort,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__insort,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1__insort,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__not__Nil,axiom,
% 192.21/192.19 ! [V_xs_2,V_a_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__insort,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__insert__insort__key,axiom,
% 192.21/192.19 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( ~ 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))))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__insert__insort,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__insort__insert,axiom,
% 192.21/192.19 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__insert__triv,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__insort__insert,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__insert__key__triv,axiom,
% 192.21/192.19 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( 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))))
% 192.21/192.19 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__list__update,axiom,
% 192.21/192.19 ! [V_x,V_k,T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => ( ( 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))
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 192.21/192.19 & ( 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))
% 192.21/192.19 => 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) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__conv__nth,axiom,
% 192.21/192.19 ! [T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__append,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_ys] :
% 192.21/192.19 ( ( V_ys = c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 192.21/192.19 & ( V_ys != c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__appendR,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_ys] :
% 192.21/192.19 ( V_ys != c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__appendL,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_ys] :
% 192.21/192.19 ( V_ys = c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last_Osimps,axiom,
% 192.21/192.19 ! [V_x,T_a,V_xs] :
% 192.21/192.19 ( ( V_xs = c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 192.21/192.19 & ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__ConsR,axiom,
% 192.21/192.19 ! [V_x,T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__ConsL,axiom,
% 192.21/192.19 ! [V_x,T_a,V_xs] :
% 192.21/192.19 ( V_xs = c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__in__set,axiom,
% 192.21/192.19 ! [T_b,V_as_2] :
% 192.21/192.19 ( V_as_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__snoc,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__drop,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_n] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_snoc__eq__iff__butlast,axiom,
% 192.21/192.19 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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
% 192.21/192.19 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 192.21/192.19 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__butlast__last__id,axiom,
% 192.21/192.19 ! [T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => 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 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lists_Osimps,axiom,
% 192.21/192.19 ! [V_A_2,V_a_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_a_2),c_List_Olists(T_b,V_A_2)))
% 192.21/192.19 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 192.21/192.19 | ? [B_a,B_l] :
% 192.21/192.19 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 192.21/192.19 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 192.21/192.19 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_select__weigth__select,axiom,
% 192.21/192.19 ! [T_b,V_xs_2] :
% 192.21/192.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_inj__mapI,axiom,
% 192.21/192.19 ! [V_f_2,T_c,T_b] :
% 192.21/192.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__map,axiom,
% 192.21/192.19 ! [V_f_2,T_c,T_b,V_xs_2] :
% 192.21/192.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__map,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__inj__on,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => V_xs_2 = V_ys_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_inj__on__map__eq__map,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( 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)
% 192.21/192.19 <=> V_xs_2 = V_ys_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__map,axiom,
% 192.21/192.19 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__fun__upd,axiom,
% 192.21/192.19 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 192.21/192.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__tl,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rotate__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__same__conv__map,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__map__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__map1,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__zip__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__zip__map2,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__map2,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nil__is__map__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__is__Nil__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__update,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__eq__conv,axiom,
% 192.21/192.19 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 192.21/192.19 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__map,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__eq__imp__length__eq,axiom,
% 192.21/192.19 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__subtractf,axiom,
% 192.21/192.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Groups_Oab__group__add(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__0,axiom,
% 192.21/192.19 ! [V_xs_2,T_c,T_b] :
% 192.21/192.19 ( class_Groups_Omonoid__add(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__mult__const,axiom,
% 192.21/192.19 ! [V_xs_2,V_c_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Rings_Osemiring__0(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__const__mult,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,V_c_2,T_c,T_b] :
% 192.21/192.19 ( class_Rings_Osemiring__0(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__addf,axiom,
% 192.21/192.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_inj__map__eq__map,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.19 => ( 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)
% 192.21/192.19 <=> V_xs_2 = V_ys_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__injective,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 192.21/192.19 => V_xs_2 = V_ys_2 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__ident,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__butlast,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__map,axiom,
% 192.21/192.19 ! [V_f_2,T_c,T_b,V_xs_2] :
% 192.21/192.19 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__map,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_List_Omap_Ocompositionality,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__comp__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_List_Omap_Ocomp,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_List_Omap_Oid,axiom,
% 192.21/192.19 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_List_Omap_Oidentity,axiom,
% 192.21/192.19 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__size__map,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__map,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 192.21/192.19 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 192.21/192.19 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__abs,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 192.21/192.19 => 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_uminus__listsum__map,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Groups_Oab__group__add(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_inj__on__mapI,axiom,
% 192.21/192.19 ! [V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_inj__mapD,axiom,
% 192.21/192.19 ! [V_f_2,T_c,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_inj__map,axiom,
% 192.21/192.19 ! [V_f_2,T_c,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 192.21/192.19 ! [V_f_2,V_xs_2,T_b,T_c] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__triv,axiom,
% 192.21/192.19 ! [V_xs_2,V_r_2,T_c,T_b] :
% 192.21/192.19 ( class_Rings_Osemiring__1(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__map__remove1,axiom,
% 192.21/192.19 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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)))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 192.21/192.19 ! [V_f_2,V_A_2,T_b,T_c] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_c)
% 192.21/192.19 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.19 => 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))))) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.19 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_pick__same,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_l_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 192.21/192.19 ! [V_y_2,V_x_2] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 192.21/192.19 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 192.21/192.19 <=> V_x_2 = V_y_2 ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_one__code__numeral__def,axiom,
% 192.21/192.19 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_less__code__numeral__code,axiom,
% 192.21/192.19 ! [V_m_2,V_n_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zero__code__numeral__def,axiom,
% 192.21/192.19 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 192.21/192.19 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_times__code__numeral__code,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 192.21/192.19 ! [V_m_2,V_n_2] :
% 192.21/192.19 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 192.21/192.19 <=> V_n_2 = V_m_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__fst__zip,axiom,
% 192.21/192.19 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => 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 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__snd__zip,axiom,
% 192.21/192.19 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => 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 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_number__of__code__numeral__def,axiom,
% 192.21/192.19 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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__map__fst__snd,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_plus__code__numeral__code,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_less__eq__code__numeral__code,axiom,
% 192.21/192.19 ! [V_m_2,V_n_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_pick__member,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_i_2] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__eq__conv,axiom,
% 192.21/192.19 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 192.21/192.19 <=> ( 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
% 192.21/192.19 & 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 ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__size__conv__listsum,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_code__numeral__not__eq__zero,axiom,
% 192.21/192.19 ! [V_i_2] :
% 192.21/192.19 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 192.21/192.19 <=> 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 192.21/192.19 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 192.21/192.19 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_select__weight__member,axiom,
% 192.21/192.19 ! [V_s_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_select__weight__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_select__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_subtract__code__numeral__code,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_times__code__numeral__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nat__of__of__nat,axiom,
% 192.21/192.19 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 192.21/192.19
% 192.21/192.19 fof(fact_of__nat__nat__of,axiom,
% 192.21/192.19 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nat__of__inverse,axiom,
% 192.21/192.19 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 192.21/192.19
% 192.21/192.19 fof(fact_code__numeral_Onat__of__inject,axiom,
% 192.21/192.19 ! [V_y_2,V_x_2] :
% 192.21/192.19 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 192.21/192.19 <=> V_x_2 = V_y_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 192.21/192.19 ! [V_l_2,V_k_2] :
% 192.21/192.19 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 192.21/192.19 <=> V_k_2 = V_l_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_type__definition__code__numeral,axiom,
% 192.21/192.19 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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_less__code__numeral__def,axiom,
% 192.21/192.19 ! [V_m_2,V_n_2] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 192.21/192.19 <=> 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nat__of,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nat__of__number,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_int__of__def,axiom,
% 192.21/192.19 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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_less__eq__code__numeral__def,axiom,
% 192.21/192.19 ! [V_m_2,V_n_2] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 192.21/192.19 <=> 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nat__of__code,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nat__of__aux__def,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Suc__code__numeral__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_minus__code__numeral__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_of__nat__inverse,axiom,
% 192.21/192.19 ! [V_y_2] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 192.21/192.19 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_plus__code__numeral__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_div__code__numeral__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_subtract__code__numeral__def,axiom,
% 192.21/192.19 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_minus__code__numeral__code,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_mod__code__numeral__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_code__numeral__decr,axiom,
% 192.21/192.19 ! [V_k] :
% 192.21/192.19 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__mono,axiom,
% 192.21/192.19 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 192.21/192.19 ( ( class_Groups_Omonoid__add(T_c)
% 192.21/192.19 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 192.21/192.19 => ( ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 192.21/192.19 => 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)))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_partition__set,axiom,
% 192.21/192.19 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lists__IntI,axiom,
% 192.21/192.19 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp_ONil,axiom,
% 192.21/192.19 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp_Oequations_I1_J,axiom,
% 192.21/192.19 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_in__listsp__conv__set,axiom,
% 192.21/192.19 ! [V_xs_2,V_A_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 192.21/192.19 <=> ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp__conj__eq,axiom,
% 192.21/192.19 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 192.21/192.19 ( 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))
% 192.21/192.19 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 192.21/192.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp__inf__eq,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp__infI,axiom,
% 192.21/192.19 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp_Oequations_I2_J,axiom,
% 192.21/192.19 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 192.21/192.19 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 192.21/192.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_append__in__listsp__conv,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 192.21/192.19 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 192.21/192.19 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp__mono,axiom,
% 192.21/192.19 ! [V_B_2,V_A_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_partition__P,axiom,
% 192.21/192.19 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => ( ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 192.21/192.19 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.19 & ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 192.21/192.19 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_partition_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsp__lists__eq,axiom,
% 192.21/192.19 ! [V_x_2,V_A_2,T_b] :
% 192.21/192.19 ( 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))
% 192.21/192.19 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_partition_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_lists__Int__eq,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_product_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__def,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 <=> ( 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)
% 192.21/192.19 & ! [B_x] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__map2,axiom,
% 192.21/192.19 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( 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))
% 192.21/192.19 <=> 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__map1,axiom,
% 192.21/192.19 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__dropI,axiom,
% 192.21/192.19 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__appendI,axiom,
% 192.21/192.19 ! [V_d_2,V_c_2,V_b_2,V_a_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2)
% 192.21/192.19 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_c_2,V_d_2)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__append,axiom,
% 192.21/192.19 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => ( 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))
% 192.21/192.19 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__Cons,axiom,
% 192.21/192.19 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( 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))
% 192.21/192.19 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 192.21/192.19 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__takeI,axiom,
% 192.21/192.19 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__eq,axiom,
% 192.21/192.19 ! [T_b,V_ys_2,V_xs_2] :
% 192.21/192.19 ( V_xs_2 = V_ys_2
% 192.21/192.19 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__lengthD,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__Nil2,axiom,
% 192.21/192.19 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__Nil,axiom,
% 192.21/192.19 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 192.21/192.19 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_product_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__conv__all__nth,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 <=> ( 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)
% 192.21/192.19 & ! [B_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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))) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__nthD,axiom,
% 192.21/192.19 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__nthD2,axiom,
% 192.21/192.19 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__update__cong,axiom,
% 192.21/192.19 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 192.21/192.19 => 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)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__update__cong2,axiom,
% 192.21/192.19 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => 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)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__product,axiom,
% 192.21/192.19 ! [V_ys,T_b,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_product__list__set,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublists__powset,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__sublists,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublists_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublists_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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))))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__set__sublists,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => 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)))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__n__lists,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_enum__the__def,axiom,
% 192.21/192.19 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__n__lists,axiom,
% 192.21/192.19 ! [V_n,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_n__lists_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_n__lists__Nil,axiom,
% 192.21/192.19 ! [T_a,V_n] :
% 192.21/192.19 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => 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))) )
% 192.21/192.19 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__n__lists,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__n__lists__elem,axiom,
% 192.21/192.19 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2I,axiom,
% 192.21/192.19 ! [V_Pa_2,V_b_2,V_a_2,T_c,T_b] :
% 192.21/192.19 ( ! [B_x] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 192.21/192.19 => ( 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)
% 192.21/192.19 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_all__nth__imp__all__set,axiom,
% 192.21/192.19 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 192.21/192.19 ( ! [B_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 192.21/192.19 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__removeAll__inj__on,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__remdups,axiom,
% 192.21/192.19 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__remdups__leq,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1__remdups,axiom,
% 192.21/192.19 ! [V_x,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups__id__iff__distinct,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 192.21/192.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__removeAll,axiom,
% 192.21/192.19 ! [V_x,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__remdups__id,axiom,
% 192.21/192.19 ! [V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__remdups,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__remdups__eq,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups__remdups,axiom,
% 192.21/192.19 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups_Osimps_I1_J,axiom,
% 192.21/192.19 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups__eq__nil__right__iff,axiom,
% 192.21/192.19 ! [V_x_2,T_b] :
% 192.21/192.19 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 192.21/192.19 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_removeAll_Osimps_I1_J,axiom,
% 192.21/192.19 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups__eq__nil__iff,axiom,
% 192.21/192.19 ! [V_x_2,T_b] :
% 192.21/192.19 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_removeAll_Osimps_I2_J,axiom,
% 192.21/192.19 ! [V_xs,T_a,V_y,V_x] :
% 192.21/192.19 ( ( V_x = V_y
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( V_x != V_y
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_removeAll__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups__map__remdups,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_removeAll__id,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__remove1__removeAll,axiom,
% 192.21/192.19 ! [V_x,V_xs,T_a] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.19 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups_Osimps_I2_J,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__remdups__card__conv,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__removeAll__inj,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__removeAll,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__remdups__concat,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sort__key__simps_I1_J,axiom,
% 192.21/192.19 ! [V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat_Osimps_I1_J,axiom,
% 192.21/192.19 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__conv__concat,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat__conv__foldl,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__sort,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__sort,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__sort,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 192.21/192.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nil__eq__concat__conv,axiom,
% 192.21/192.19 ! [V_xss_2,T_b] :
% 192.21/192.19 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 192.21/192.19 <=> ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 192.21/192.19 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat__eq__Nil__conv,axiom,
% 192.21/192.19 ! [V_xss_2,T_b] :
% 192.21/192.19 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 192.21/192.19 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__concat,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__concat,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__concat,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sort__key__simps_I2_J,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sort__foldl__insort,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat__injective,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 192.21/192.19 => ( 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)
% 192.21/192.19 => ( ! [B_x] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => 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)) )
% 192.21/192.19 => V_xs_2 = V_ys_2 ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat__eq__concat__iff,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( ! [B_x] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => 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)) )
% 192.21/192.19 => ( 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)
% 192.21/192.19 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 192.21/192.19 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_concat__map__singleton,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_n__lists_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose_Osimps_I3_J,axiom,
% 192.21/192.19 ! [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))))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__aux__filter__head,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__concat,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__sort,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__filter,axiom,
% 192.21/192.19 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__is__subset,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__id__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 192.21/192.19 <=> ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__filter__le,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sum__length__filter__compl,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_partition__filter2,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_partition__filter1,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__filter,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remove1__filter__not,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 192.21/192.19 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__remove1,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__insort__triv,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter_Osimps_I2_J,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 192.21/192.19 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.19 => 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)) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__empty__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_removeAll__filter__not__eq,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_removeAll__filter__not,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 192.21/192.19 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_remdups__filter,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__transpose,axiom,
% 192.21/192.19 ! [V_xs_2,T_b,V_i_2] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__map__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__filter,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__filter__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__filter__less,axiom,
% 192.21/192.19 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_partition__filter__conv,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__minus__filter__out,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__in__sublist,axiom,
% 192.21/192.19 ! [V_s_2,V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__empty,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 192.21/192.19 <=> ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 192.21/192.19 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__filter__conv__card,axiom,
% 192.21/192.19 ! [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))))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__aux__filter__tail,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose_Opsimps_I3_J,axiom,
% 192.21/192.19 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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))))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose_Opsimps_I2_J,axiom,
% 192.21/192.19 ! [V_xss_2,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__shift__lemma__Suc,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_select__weigth__drop__zero,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_pick__drop__zero,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose_Opsimps_I1_J,axiom,
% 192.21/192.19 ! [T_b] :
% 192.21/192.19 ( 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))))
% 192.21/192.19 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__max__length,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__aux__max,axiom,
% 192.21/192.19 ! [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)))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldr_Osimps_I1_J,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldr_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldr__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldr__conv__foldl,axiom,
% 192.21/192.19 ! [V_a_2,V_xs_2,T_b] :
% 192.21/192.19 ( class_Groups_Oab__semigroup__add(T_b)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldr__map,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__foldr1__lemma,axiom,
% 192.21/192.19 ! [V_xs_2,V_a_2,T_b] :
% 192.21/192.19 ( class_Groups_Omonoid__add(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__foldr1,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Groups_Omonoid__add(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__transpose,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__def,axiom,
% 192.21/192.19 ! [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))))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sublist__shift__lemma,axiom,
% 192.21/192.19 ! [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))))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_atLeastLessThan__upt,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__upt,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__Suc,axiom,
% 192.21/192.19 ! [V_j,V_i] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => 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))) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__Suc__append,axiom,
% 192.21/192.19 ! [V_j,V_i] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__add__eq__append,axiom,
% 192.21/192.19 ! [V_k,V_j,V_i] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__rec,axiom,
% 192.21/192.19 ! [V_j,V_i] :
% 192.21/192.19 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => 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)) )
% 192.21/192.19 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__conv__Cons,axiom,
% 192.21/192.19 ! [V_j,V_i] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__eq__Nil__conv,axiom,
% 192.21/192.19 ! [V_j_2,V_i_2] :
% 192.21/192.19 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 192.21/192.19 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.19 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__conv__Nil,axiom,
% 192.21/192.19 ! [V_i,V_j] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 192.21/192.19 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__0,axiom,
% 192.21/192.19 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_take__upt,axiom,
% 192.21/192.19 ! [V_n,V_m,V_i] :
% 192.21/192.19 ( 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))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__list__of__set__range,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_hd__upt,axiom,
% 192.21/192.19 ! [V_j,V_i] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_drop__upt,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__upt,axiom,
% 192.21/192.19 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__upt,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__rec__number__of,axiom,
% 192.21/192.19 ! [V_n,V_m] :
% 192.21/192.19 ( ( 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)))
% 192.21/192.19 => 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))) )
% 192.21/192.19 & ( ~ 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)))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_upt__eq__Cons__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 192.21/192.19 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 192.21/192.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 192.21/192.19 & V_i_2 = V_x_2
% 192.21/192.19 & 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 ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__upt,axiom,
% 192.21/192.19 ! [V_j,V_i] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__Suc__upt,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_atLeastAtMost__upt,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_atLeast__upt,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__upt,axiom,
% 192.21/192.19 ! [V_j,V_k,V_i] :
% 192.21/192.19 ( 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))
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_greaterThanAtMost__upt,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_greaterThanLessThan__upt,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_atMost__upto,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__nth,axiom,
% 192.21/192.19 ! [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 ).
% 192.21/192.19
% 192.21/192.19 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 192.21/192.19 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 192.21/192.19 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__map__upt,axiom,
% 192.21/192.19 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__rectangle,axiom,
% 192.21/192.19 ! [V_n_2,T_b,V_xs_2] :
% 192.21/192.19 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 192.21/192.19 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 192.21/192.19 => ( ! [B_i] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => 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 )
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__key__remove1,axiom,
% 192.21/192.19 ! [V_f_2,V_xs_2,V_a_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 192.21/192.19 => ( 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
% 192.21/192.19 => 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 ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted_ONil,axiom,
% 192.21/192.19 ! [T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__single,axiom,
% 192.21/192.19 ! [V_x,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__upt,axiom,
% 192.21/192.19 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__sort,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__insort__insert,axiom,
% 192.21/192.19 ! [V_x_2,V_xs_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.19 => 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)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__drop,axiom,
% 192.21/192.19 ! [V_n,V_xs,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__upto,axiom,
% 192.21/192.19 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__take,axiom,
% 192.21/192.19 ! [V_n,V_xs,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__remove1,axiom,
% 192.21/192.19 ! [V_a,V_xs,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__tl,axiom,
% 192.21/192.19 ! [V_xs,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__insort,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( 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))
% 192.21/192.19 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__butlast,axiom,
% 192.21/192.19 ! [V_xs,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted_Oequations_I1_J,axiom,
% 192.21/192.19 ! [T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__many,axiom,
% 192.21/192.19 ! [V_zs,V_y,V_x,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 192.21/192.19 => 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))) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__many__eq,axiom,
% 192.21/192.19 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 192.21/192.19 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__remdups,axiom,
% 192.21/192.19 ! [V_l,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 192.21/192.19 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__distinct__set__unique,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 192.21/192.19 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 192.21/192.19 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__sort__key,axiom,
% 192.21/192.19 ! [V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__insort__insert__key,axiom,
% 192.21/192.19 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__map__remove1,axiom,
% 192.21/192.19 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__insort__key,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__map__same,axiom,
% 192.21/192.19 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__filter,axiom,
% 192.21/192.19 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 192.21/192.19 => 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))) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__same,axiom,
% 192.21/192.19 ! [V_xs_2,V_g_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__Cons,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 192.21/192.19 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.19 & ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__append,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 192.21/192.19 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.19 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 192.21/192.19 & ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => ! [B_xa] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_filter__insort,axiom,
% 192.21/192.19 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 192.21/192.19 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.19 => 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)) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted_Oequations_I2_J,axiom,
% 192.21/192.19 ! [V_a1_2,V_a2_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 192.21/192.19 <=> ( ! [B_x] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 192.21/192.19 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 192.21/192.19 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__list__of__set,axiom,
% 192.21/192.19 ! [V_A_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.19 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 192.21/192.19 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 192.21/192.19 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_insort__remove1,axiom,
% 192.21/192.19 ! [V_xs_2,V_a_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.19 => 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 ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__equals__nth__mono,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_b)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.19 <=> ! [B_j] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ! [B_i] :
% 192.21/192.19 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 192.21/192.19 => 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))) ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_sorted__nth__mono,axiom,
% 192.21/192.19 ! [V_j,V_i,V_xs,T_a] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_a)
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 192.21/192.19 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => 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))) ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_map__sorted__distinct__set__unique,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 192.21/192.19 ( class_Orderings_Olinorder(T_c)
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 192.21/192.19 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 192.21/192.19 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 192.21/192.19 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 192.21/192.19 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_transpose__column,axiom,
% 192.21/192.19 ! [V_i_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( 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)))
% 192.21/192.19 => 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) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_nth__nth__transpose__sorted,axiom,
% 192.21/192.19 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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)))
% 192.21/192.19 => ( 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))))
% 192.21/192.19 => ( 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))))
% 192.21/192.19 => 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) ) ) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_inj__on__rev,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_distinct__rev,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 192.21/192.19 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev_Osimps_I1_J,axiom,
% 192.21/192.19 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_Nil__is__rev__conv,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__is__Nil__conv,axiom,
% 192.21/192.19 ! [V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.19 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__singleton__conv,axiom,
% 192.21/192.19 ! [V_x_2,V_xs_2,T_b] :
% 192.21/192.19 ( 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))
% 192.21/192.19 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_singleton__rev__conv,axiom,
% 192.21/192.19 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.19 ( 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)
% 192.21/192.19 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__append,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__concat,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__map,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__filter,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_zip__rev,axiom,
% 192.21/192.19 ! [V_ys,T_b,V_xs,T_a] :
% 192.21/192.19 ( 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)
% 192.21/192.19 => 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)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_set__rev,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__rev1,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 192.21/192.19 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_list__all2__rev,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 192.21/192.19 ( 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))
% 192.21/192.19 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__is__rev__conv,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 192.21/192.19 <=> V_xs_2 = V_ys_2 ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__swap,axiom,
% 192.21/192.19 ! [V_ys_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 192.21/192.19 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__rev__ident,axiom,
% 192.21/192.19 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 192.21/192.19
% 192.21/192.19 fof(fact_listsum__rev,axiom,
% 192.21/192.19 ! [V_xs,T_a] :
% 192.21/192.19 ( class_Groups_Ocomm__monoid__add(T_a)
% 192.21/192.19 => 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) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_length__rev,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldl__foldr,axiom,
% 192.21/192.19 ! [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) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_foldr__foldl,axiom,
% 192.21/192.19 ! [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)) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev_Osimps_I2_J,axiom,
% 192.21/192.19 ! [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))) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_rev__eq__Cons__iff,axiom,
% 192.21/192.19 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 192.21/192.19 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 192.21/192.19 <=> 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))) ) ).
% 192.21/192.19
% 192.21/192.19 fof(fact_last__rev,axiom,
% 192.21/192.19 ! [T_a,V_xs] :
% 192.21/192.19 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.19 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_hd__rev,axiom,
% 192.21/192.20 ! [T_a,V_xs] :
% 192.21/192.20 ( V_xs != c_List_Olist_ONil(T_a)
% 192.21/192.20 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sorted__transpose,axiom,
% 192.21/192.20 ! [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)))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_rev__foldl__cons,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_rev__take,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_rev__drop,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_rotate__rev,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_rev__nth,axiom,
% 192.21/192.20 ! [V_xs,T_a,V_n] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_rev__update,axiom,
% 192.21/192.20 ! [V_y,V_xs,T_a,V_k] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sorted__rev__nth__mono,axiom,
% 192.21/192.20 ! [V_j,V_i,V_xs,T_a] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_a)
% 192.21/192.20 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => 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))) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_foldr__max__sorted,axiom,
% 192.21/192.20 ! [V_y_2,V_xs_2,T_b] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_b)
% 192.21/192.20 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 192.21/192.20 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 192.21/192.20 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 192.21/192.20 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.20 => 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) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_length__transpose__sorted,axiom,
% 192.21/192.20 ! [V_xs_2,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 192.21/192.20 => 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) )
% 192.21/192.20 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 192.21/192.20 => 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))) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transpose__column__length,axiom,
% 192.21/192.20 ! [V_i_2,V_xs_2,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transpose__transpose,axiom,
% 192.21/192.20 ! [V_xs_2,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 192.21/192.20 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sorted__takeWhile,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_b)
% 192.21/192.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.20 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_length__takeWhile__le,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__eq__all__conv,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 192.21/192.20 <=> ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_set__takeWhileD,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_zip__takeWhile__snd,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_zip__takeWhile__fst,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__map,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__tail,axiom,
% 192.21/192.20 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 192.21/192.20 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 192.21/192.20 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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)) )
% 192.21/192.20 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__eq__take,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_distinct__takeWhile,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.20 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_return__list__def,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__append1,axiom,
% 192.21/192.20 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__nth,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_nth__length__takeWhile,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ~ 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))))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__not__last,axiom,
% 192.21/192.20 ! [T_b,V_xs_2] :
% 192.21/192.20 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 192.21/192.20 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 192.21/192.20 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_b)
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 192.21/192.20 ! [V_l] :
% 192.21/192.20 ( c_List_Onat__list(V_l)
% 192.21/192.20 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_embed__list__def,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__neq__rev,axiom,
% 192.21/192.20 ! [V_x_2,V_xs_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__neq__rev,axiom,
% 192.21/192.20 ! [V_x_2,V_xs_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__dropWhile__id,axiom,
% 192.21/192.20 ! [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 ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sorted__dropWhile,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_b)
% 192.21/192.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.20 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_length__dropWhile__le,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_hd__dropWhile,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 192.21/192.20 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 192.21/192.20 <=> ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 192.21/192.20 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 192.21/192.20 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) )
% 192.21/192.20 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_distinct__dropWhile,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 192.21/192.20 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__map,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__append1,axiom,
% 192.21/192.20 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 192.21/192.20 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( 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)
% 192.21/192.20 <=> ( 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))
% 192.21/192.20 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__eq__drop,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__nth,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 => 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)))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_listsum__map__filter,axiom,
% 192.21/192.20 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 192.21/192.20 ( class_Groups_Omonoid__add(T_c)
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 192.21/192.20 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sorted__nth__monoI,axiom,
% 192.21/192.20 ! [V_xs,T_a] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_a)
% 192.21/192.20 => ( ! [B_i,B_j] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => 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))) ) )
% 192.21/192.20 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__eq__filter,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 192.21/192.20 ( ! [B_i] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 192.21/192.20 => ( ( 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)))
% 192.21/192.20 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 192.21/192.20 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_length__takeWhile__less__P__nth,axiom,
% 192.21/192.20 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 192.21/192.20 ( ! [B_i] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => 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)))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sorted_Osimps,axiom,
% 192.21/192.20 ! [V_a_2,T_b] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_b)
% 192.21/192.20 => ( c_List_Olinorder__class_Osorted(T_b,V_a_2)
% 192.21/192.20 <=> ( V_a_2 = c_List_Olist_ONil(T_b)
% 192.21/192.20 | ? [B_xs,B_x] :
% 192.21/192.20 ( V_a_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 192.21/192.20 & ! [B_xa] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 192.21/192.20 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_not__in__set__insert,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_List_Oinsert__def,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 192.21/192.20 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_insert__remdups,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_distinct__insert,axiom,
% 192.21/192.20 ! [V_x,V_xs,T_a] :
% 192.21/192.20 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 192.21/192.20 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__set__insert,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_List_Oset__insert,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_insert__Nil,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_concat__map__maps,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_maps__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_maps__simps_I2_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_maps__simps_I1_J,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_distinct__concat,axiom,
% 192.21/192.20 ! [V_xs_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 192.21/192.20 => ( ! [B_ys] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 192.21/192.20 => ( ! [B_ys] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 192.21/192.20 => ! [B_zs] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 192.21/192.20 => ( B_ys != B_zs
% 192.21/192.20 => 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)) ) ) )
% 192.21/192.20 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_measures__lesseq,axiom,
% 192.21/192.20 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_wf__measures,axiom,
% 192.21/192.20 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__measures_I1_J,axiom,
% 192.21/192.20 ! [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))))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_measures__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__measures_I2_J,axiom,
% 192.21/192.20 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 192.21/192.20 <=> ( 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)))
% 192.21/192.20 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 192.21/192.20 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_measures__less,axiom,
% 192.21/192.20 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_foldl__apply,axiom,
% 192.21/192.20 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => 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)) )
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_order__fun_I2_J,axiom,
% 192.21/192.20 ! [V_g_2,V_f_2,T_b,T_c] :
% 192.21/192.20 ( ( class_Orderings_Oorder(T_c)
% 192.21/192.20 & class_Enum_Oenum(T_b) )
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 192.21/192.20 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 192.21/192.20 & 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)))) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_enum__ex__prod__def,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b,T_c] :
% 192.21/192.20 ( ( class_Enum_Oenum(T_c)
% 192.21/192.20 & class_Enum_Oenum(T_b) )
% 192.21/192.20 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 192.21/192.20 <=> 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))))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_exists__code,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] :
% 192.21/192.20 ( class_Enum_Oenum(T_b)
% 192.21/192.20 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 192.21/192.20 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_enum__ex,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] :
% 192.21/192.20 ( class_Enum_Oenum(T_b)
% 192.21/192.20 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 192.21/192.20 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_zip__obtain__same__length,axiom,
% 192.21/192.20 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 192.21/192.20 ( ( 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))
% 192.21/192.20 => 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)))) )
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pos__not__random__dseq__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_dropWhile__append2,axiom,
% 192.21/192.20 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all2__all__nthI,axiom,
% 192.21/192.20 ! [V_Pa_2,V_b_2,T_c,V_a_2,T_b] :
% 192.21/192.20 ( 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)
% 192.21/192.20 => ( ! [B_n] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => 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))) )
% 192.21/192.20 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_a_2,V_b_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_finite__sorted__distinct__unique,axiom,
% 192.21/192.20 ! [V_A_2,T_b] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_b)
% 192.21/192.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.20 => ? [B_x] :
% 192.21/192.20 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 192.21/192.20 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 192.21/192.20 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 192.21/192.20 & ! [B_y] :
% 192.21/192.20 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 192.21/192.20 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 192.21/192.20 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 192.21/192.20 => B_y = B_x ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_takeWhile__append2,axiom,
% 192.21/192.20 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_insort__is__Cons,axiom,
% 192.21/192.20 ! [V_a_2,V_f_2,V_xs_2,T_b,T_c] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_c)
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_a_2)),hAPP(V_f_2,B_x))) )
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_filter__eq__Cons__iff,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 192.21/192.20 ( 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)
% 192.21/192.20 <=> ? [B_us,B_vs] :
% 192.21/192.20 ( 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))
% 192.21/192.20 & ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 192.21/192.20 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Cons__eq__filter__iff,axiom,
% 192.21/192.20 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( 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)
% 192.21/192.20 <=> ? [B_us,B_vs] :
% 192.21/192.20 ( 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))
% 192.21/192.20 & ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 192.21/192.20 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_order__fun_I1_J,axiom,
% 192.21/192.20 ! [V_g_2,V_f_2,T_b,T_c] :
% 192.21/192.20 ( ( class_Orderings_Oorder(T_c)
% 192.21/192.20 & class_Enum_Oenum(T_b) )
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 192.21/192.20 <=> 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_enum__all,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] :
% 192.21/192.20 ( class_Enum_Oenum(T_b)
% 192.21/192.20 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 192.21/192.20 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_all__code,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] :
% 192.21/192.20 ( class_Enum_Oenum(T_b)
% 192.21/192.20 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 192.21/192.20 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_enum__all__prod__def,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b,T_c] :
% 192.21/192.20 ( ( class_Enum_Oenum(T_c)
% 192.21/192.20 & class_Enum_Oenum(T_b) )
% 192.21/192.20 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 192.21/192.20 <=> 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))))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ball__nth,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sorted_OCons,axiom,
% 192.21/192.20 ! [V_x_2,V_xs_2,T_b] :
% 192.21/192.20 ( class_Orderings_Olinorder(T_b)
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 192.21/192.20 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 192.21/192.20 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__length,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ? [B_n] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__set__conv__decomp__first,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 <=> ? [B_ys] :
% 192.21/192.20 ( ? [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))
% 192.21/192.20 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__simps_I2_J,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__append,axiom,
% 192.21/192.20 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 192.21/192.20 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__iff,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__rev,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 192.21/192.20 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__simps_I1_J,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 192.21/192.20 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__set__conv__decomp,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 <=> ? [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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__set__conv__decomp__last,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 <=> ? [B_ys,B_zs] :
% 192.21/192.20 ( 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))
% 192.21/192.20 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__length,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ! [B_n] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_finite__induct,axiom,
% 192.21/192.20 ! [V_Pa_2,V_F_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 192.21/192.20 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 192.21/192.20 => ( ! [B_x,B_F] :
% 192.21/192.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 192.21/192.20 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 192.21/192.20 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__simps_I2_J,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__append,axiom,
% 192.21/192.20 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 192.21/192.20 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__iff,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__rev,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 192.21/192.20 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__simps_I1_J,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 192.21/192.20 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Ball__set__list__all,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__iff__raw,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex1__simps_I2_J,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 192.21/192.20 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) )
% 192.21/192.20 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_measure__function__int,axiom,
% 192.21/192.20 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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_measure__snd,axiom,
% 192.21/192.20 ! [T_c,V_f_2,T_b] :
% 192.21/192.20 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_measure__fst,axiom,
% 192.21/192.20 ! [T_c,V_f_2,T_b] :
% 192.21/192.20 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_is__measure_Osimps,axiom,
% 192.21/192.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_is__measure_Oequations,axiom,
% 192.21/192.20 ! [V_a_2,T_b] : c_FunDef_Ois__measure(T_b,V_a_2) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_is__measure_Ointros,axiom,
% 192.21/192.20 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_measure__size,axiom,
% 192.21/192.20 ! [T_b] :
% 192.21/192.20 ( class_Nat_Osize(T_b)
% 192.21/192.20 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex1__simps_I1_J,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex1__iff,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x))
% 192.21/192.20 & ! [B_y] :
% 192.21/192.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 192.21/192.20 => B_y = B_x ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transfer__morphism__int__nat,axiom,
% 192.21/192.20 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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 192.21/192.20 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 192.21/192.20 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.21/192.20 => 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) )
% 192.21/192.20 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bool_Osize_I3_J,axiom,
% 192.21/192.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bool_Osize_I4_J,axiom,
% 192.21/192.20 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 192.21/192.20 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pos__empty__def,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pos__bind__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 192.21/192.20 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 192.21/192.20 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.21/192.20 => 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) )
% 192.21/192.20 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_neg__bind__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pos__map__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pos__single__def,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_neg__map__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Opos__single__def,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_neg__single__def,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_,axiom,
% 192.21/192.20 ! [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)))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_small__lazy__list_Osimps,axiom,
% 192.21/192.20 ! [V_d_2,T_b] :
% 192.21/192.20 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 192.21/192.20 => 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)))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_length__splice,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_small__lazy__prod__def,axiom,
% 192.21/192.20 ! [V_d,T_b,T_a] :
% 192.21/192.20 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 192.21/192.20 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_splice_Osimps_I3_J,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_splice__Nil2,axiom,
% 192.21/192.20 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 192.21/192.20
% 192.21/192.20 fof(fact_splice_Osimps_I1_J,axiom,
% 192.21/192.20 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 192.21/192.20
% 192.21/192.20 fof(fact_splice_Osimps_I2_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_New__DSequence_Opos__union__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_acyclicP__converse,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 <=> 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_converse__join,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_converse__pred__comp,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversep__eq,axiom,
% 192.21/192.20 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversep__conversep,axiom,
% 192.21/192.20 ! [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 ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversep__iff,axiom,
% 192.21/192.20 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 192.21/192.20 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversep_Oequations,axiom,
% 192.21/192.20 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 192.21/192.20 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversep_Ointros,axiom,
% 192.21/192.20 ! [T_c,T_b,V_b_2,V_a_2,V_r_2] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(V_r_2,V_a_2),V_b_2))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_a_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversepD,axiom,
% 192.21/192.20 ! [V_b_2,V_a_2,V_r_2,T_c,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a_2),V_b_2))
% 192.21/192.20 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_a_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversep__noteq,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2,T_b] :
% 192.21/192.20 ( 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))
% 192.21/192.20 <=> V_x_2 != V_y_2 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_converse__meet,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_conversep__converse__eq,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 192.21/192.20 ( 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))
% 192.21/192.20 <=> 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pos__union__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_small__lazy_H_Osimps,axiom,
% 192.21/192.20 ! [V_i,V_d] :
% 192.21/192.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 192.21/192.20 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 192.21/192.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 192.21/192.20 => 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)))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_small__lazy__int__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_small__lazy_H_Opsimps,axiom,
% 192.21/192.20 ! [V_i_2,V_d_2] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 192.21/192.20 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 192.21/192.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 192.21/192.20 => 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)))) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_tl__replicate,axiom,
% 192.21/192.20 ! [V_x,T_a,V_n] :
% 192.21/192.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_map__replicate__const,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_length__replicate,axiom,
% 192.21/192.20 ! [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 ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__length__filter,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_map__replicate,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__0,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_empty__replicate,axiom,
% 192.21/192.20 ! [V_x_2,V_n_2,T_b] :
% 192.21/192.20 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 192.21/192.20 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__empty,axiom,
% 192.21/192.20 ! [V_x_2,V_n_2,T_b] :
% 192.21/192.20 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 192.21/192.20 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_concat__replicate__trivial,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_filter__replicate,axiom,
% 192.21/192.20 ! [V_n_2,T_b,V_x_2,V_Pa_2] :
% 192.21/192.20 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) )
% 192.21/192.20 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_append__replicate__commute,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__add,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_nth__replicate,axiom,
% 192.21/192.20 ! [V_x,T_a,V_n,V_i] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 192.21/192.20 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__eq__replicate,axiom,
% 192.21/192.20 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 192.21/192.20 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 192.21/192.20 <=> ( V_m_2 = V_n_2
% 192.21/192.20 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.20 => V_x_2 = V_y_2 ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Bex__set__replicate,axiom,
% 192.21/192.20 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 192.21/192.20 ( ? [B_x] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 192.21/192.20 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Ball__set__replicate,axiom,
% 192.21/192.20 ! [V_Pa_2,V_a_2,V_n_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 <=> ( hBOOL(hAPP(V_Pa_2,V_a_2))
% 192.21/192.20 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_zip__replicate,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_last__replicate,axiom,
% 192.21/192.20 ! [V_x,T_a,V_n] :
% 192.21/192.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.20 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_take__replicate,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_hd__replicate,axiom,
% 192.21/192.20 ! [V_x,T_a,V_n] :
% 192.21/192.20 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.20 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_drop__replicate,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_rev__replicate,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__Suc,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__app__Cons__same,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__set__replicate,axiom,
% 192.21/192.20 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 <=> ( V_x_2 = V_y_2
% 192.21/192.20 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_replicate__append__same,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_map__replicate__trivial,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_set__replicate,axiom,
% 192.21/192.20 ! [V_x_2,T_b,V_n_2] :
% 192.21/192.20 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_set__replicate__conv__if,axiom,
% 192.21/192.20 ! [V_x_2,T_b,V_n_2] :
% 192.21/192.20 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.20 => 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)) )
% 192.21/192.20 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_set__replicate__Suc,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_small__lazy_H_Opinduct,axiom,
% 192.21/192.20 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( ! [B_d,B_i] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 192.21/192.20 => 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)))) )
% 192.21/192.20 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 192.21/192.20 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_eq__comp__r,axiom,
% 192.21/192.20 ! [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 ).
% 192.21/192.20
% 192.21/192.20 fof(fact_field__le__epsilon,axiom,
% 192.21/192.20 ! [V_y,V_x,T_a] :
% 192.21/192.20 ( class_Fields_Olinordered__field(T_a)
% 192.21/192.20 => ( ! [B_e] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 192.21/192.20 => 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))) )
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact__01,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Oinject,axiom,
% 192.21/192.20 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_a_2,T_b] :
% 192.21/192.20 ( 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)
% 192.21/192.20 <=> ( V_a_2 = V_a_H_2
% 192.21/192.20 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_size__code,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence__size__code,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_seq__case,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_yieldn__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_refl__on__INTER,axiom,
% 192.21/192.20 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 192.21/192.20 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_List_Omember__def,axiom,
% 192.21/192.20 ! [V_x_2,V_xs_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 192.21/192.20 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_member__rec_I1_J,axiom,
% 192.21/192.20 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( 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))
% 192.21/192.20 <=> ( V_x_2 = V_y_2
% 192.21/192.20 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_member__set,axiom,
% 192.21/192.20 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_member__rec_I2_J,axiom,
% 192.21/192.20 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_in__set__member,axiom,
% 192.21/192.20 ! [V_xs_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pair__box_Osize_I1_J,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex1__iff__raw,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x))
% 192.21/192.20 & ! [B_y] :
% 192.21/192.20 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 192.21/192.20 => B_y = B_x ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pair__box_Oinject,axiom,
% 192.21/192.20 ! [V_b_H_2,V_a_H_2,V_b_2,V_a_2,T_c,T_b] :
% 192.21/192.20 ( 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)
% 192.21/192.20 <=> ( V_a_2 = V_a_H_2
% 192.21/192.20 & V_b_2 = V_b_H_2 ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pair__box_Osize_I2_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pair__box_Orecs,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_pair__box_Osimps_I2_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_THE__default__def,axiom,
% 192.21/192.20 ! [V_d_2,T_b,V_Pa_2] :
% 192.21/192.20 ( ( ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(V_Pa_2,B_x))
% 192.21/192.20 & ! [B_y] :
% 192.21/192.20 ( hBOOL(hAPP(V_Pa_2,B_y))
% 192.21/192.20 => B_y = B_x ) )
% 192.21/192.20 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 192.21/192.20 & ( ~ ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(V_Pa_2,B_x))
% 192.21/192.20 & ! [B_y] :
% 192.21/192.20 ( hBOOL(hAPP(V_Pa_2,B_y))
% 192.21/192.20 => B_y = B_x ) )
% 192.21/192.20 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_setsum__UNION__zero,axiom,
% 192.21/192.20 ! [V_f_2,V_S_2,T_b,T_c] :
% 192.21/192.20 ( class_Groups_Ocomm__monoid__add(T_c)
% 192.21/192.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 192.21/192.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 192.21/192.20 => ( ! [B_T1] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 192.21/192.20 => ! [B_T2] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 192.21/192.20 => ( B_T1 != B_T2
% 192.21/192.20 => ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 192.21/192.20 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 192.21/192.20 => 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) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_INF2__I,axiom,
% 192.21/192.20 ! [T_d,T_c,V_c_2,V_b_2,V_B_2,V_A_2,T_b] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.20 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) )
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_SUP2__E,axiom,
% 192.21/192.20 ! [V_c_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_c_2))
% 192.21/192.20 => ~ ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.20 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_c_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_finite__maxlen,axiom,
% 192.21/192.20 ! [V_M_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 192.21/192.20 => ? [B_n] :
% 192.21/192.20 ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact__02,axiom,
% 192.21/192.20 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 192.21/192.20 ! [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 ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__all__iff__all__interval__int,axiom,
% 192.21/192.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 192.21/192.20 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 192.21/192.20 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 192.21/192.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 192.21/192.20 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 192.21/192.20 <=> ~ 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_all__interval__int__def,axiom,
% 192.21/192.20 ! [V_j_2,V_i_2,V_Pa_2] :
% 192.21/192.20 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 192.21/192.20 <=> ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Random_Osimps,axiom,
% 192.21/192.20 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 192.21/192.20 ( ( 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)))
% 192.21/192.20 => 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)) )
% 192.21/192.20 & ( ~ 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)))
% 192.21/192.20 => 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))))))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 192.21/192.20 ! [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 ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Random__Sequence_Oempty__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Random__Sequence_Osingle__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Random__Sequence_Omap__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_exE__realizer,axiom,
% 192.21/192.20 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( ! [B_x,B_y] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 192.21/192.20 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Image__Collect__split,axiom,
% 192.21/192.20 ! [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)))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lexord__trans,axiom,
% 192.21/192.20 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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)))
% 192.21/192.20 => ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_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))) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__less__than,axiom,
% 192.21/192.20 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__lex__prod,axiom,
% 192.21/192.20 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_R1_2)
% 192.21/192.20 => ( c_Relation_Otrans(T_c,V_R2_2)
% 192.21/192.20 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transD,axiom,
% 192.21/192.20 ! [V_c_2,V_b_2,V_a_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.21/192.20 => ( 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))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_c_2)),V_r_2)) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__def,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 <=> ! [B_x,B_y] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 192.21/192.20 => ! [B_z] :
% 192.21/192.20 ( 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))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__reflclI,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__Int,axiom,
% 192.21/192.20 ! [V_s_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => ( c_Relation_Otrans(T_b,V_s_2)
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__rtrancl,axiom,
% 192.21/192.20 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__trancl,axiom,
% 192.21/192.20 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trancl__id,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__Id__on,axiom,
% 192.21/192.20 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__Id,axiom,
% 192.21/192.20 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__finite__psubset,axiom,
% 192.21/192.20 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lexord__transI,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__converse,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 192.21/192.20 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bex__empty,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] :
% 192.21/192.20 ~ ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_listrel__trans,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_finite__Collect__bex,axiom,
% 192.21/192.20 ! [V_Qa_2,T_c,V_A_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 192.21/192.20 => ( 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)))))
% 192.21/192.20 <=> ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 192.21/192.20 => 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)))) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bex__UNIV,axiom,
% 192.21/192.20 ! [V_Pa_2,T_b] :
% 192.21/192.20 ( ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__O__subset,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_SUPR__bool__eq,axiom,
% 192.21/192.20 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Union__eq,axiom,
% 192.21/192.20 ! [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)))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__inv__image,axiom,
% 192.21/192.20 ! [V_f_2,T_c,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_UN__eq,axiom,
% 192.21/192.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_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))))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_list__ex__iff__raw,axiom,
% 192.21/192.20 ! [V_xs_2,V_Pa_2,T_b] :
% 192.21/192.20 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 192.21/192.20 <=> ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Bex__set__list__ex,axiom,
% 192.21/192.20 ! [V_Pa_2,V_xs_2,T_b] :
% 192.21/192.20 ( ? [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 192.21/192.20 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 192.21/192.20 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_INT__eq,axiom,
% 192.21/192.20 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_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))))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Sup__apply,axiom,
% 192.21/192.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 192.21/192.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.20 => 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)))))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Sup__fun__def,axiom,
% 192.21/192.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 192.21/192.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.20 => 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)))))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Inf__apply,axiom,
% 192.21/192.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 192.21/192.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.20 => 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)))))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_Inf__fun__def,axiom,
% 192.21/192.20 ! [V_x_2,V_A_2,T_c,T_b] :
% 192.21/192.20 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 192.21/192.20 => 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)))))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_max__extp_Ointros,axiom,
% 192.21/192.20 ! [V_R_2,V_Y_2,V_X_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 192.21/192.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Y_2))
% 192.21/192.20 => ( V_Y_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 192.21/192.20 => ? [B_xa] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Y_2))
% 192.21/192.20 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 192.21/192.20 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Y_2) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transp__def,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Predicate_Otransp(T_b,V_r_2)
% 192.21/192.20 <=> 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_transpE,axiom,
% 192.21/192.20 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Predicate_Otransp(T_b,V_r_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 192.21/192.20 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_equivp__reflp__symp__transp,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 192.21/192.20 <=> ( c_Predicate_Oreflp(T_b,V_R_2)
% 192.21/192.20 & c_Predicate_Osymp(T_b,V_R_2)
% 192.21/192.20 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_equivpI,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Predicate_Oreflp(T_b,V_R_2)
% 192.21/192.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 192.21/192.20 => ( c_Predicate_Otransp(T_b,V_R_2)
% 192.21/192.20 => c_Equiv__Relations_Oequivp(T_b,V_R_2) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sympE,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Predicate_Osymp(T_b,V_r_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 192.21/192.20 => hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_x_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_equivpE,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 192.21/192.20 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 192.21/192.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 192.21/192.20 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_max__extp_Osimps,axiom,
% 192.21/192.20 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 192.21/192.20 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 192.21/192.20 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 192.21/192.20 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 192.21/192.20 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.20 & ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 192.21/192.20 => ? [B_xa] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 192.21/192.20 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_trans__diff__Id,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => ( c_Relation_Oantisym(T_b,V_r_2)
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisym__empty,axiom,
% 192.21/192.20 ! [T_b] : c_Relation_Oantisym(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisym__converse,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Oantisym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 192.21/192.20 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisym__Id__on,axiom,
% 192.21/192.20 ! [V_A_2,T_b] : c_Relation_Oantisym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisym__Id,axiom,
% 192.21/192.20 ! [T_b] : c_Relation_Oantisym(T_b,c_Relation_OId(T_b)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisym__subset,axiom,
% 192.21/192.20 ! [V_s_2,V_r_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 192.21/192.20 => ( c_Relation_Oantisym(T_b,V_s_2)
% 192.21/192.20 => c_Relation_Oantisym(T_b,V_r_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisymD,axiom,
% 192.21/192.20 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Oantisym(T_b,V_r_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.21/192.20 => ( 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))
% 192.21/192.20 => V_a_2 = V_b_2 ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisym__def,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Oantisym(T_b,V_r_2)
% 192.21/192.20 <=> ! [B_x,B_y] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 192.21/192.20 => ( 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))
% 192.21/192.20 => B_x = B_y ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_antisym__reflcl,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 <=> c_Relation_Oantisym(T_b,V_r_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_acyclic__impl__antisym__rtrancl,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Oantisym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_fun__lub__def,axiom,
% 192.21/192.20 ! [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)))))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__trans__comp__subset,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_symD,axiom,
% 192.21/192.20 ! [V_b_2,V_a_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_a_2),V_b_2)),V_r_2))
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__def,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 <=> ! [B_x,B_y] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__Int__converse,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__Un__converse,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__Int,axiom,
% 192.21/192.20 ! [V_s_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => ( c_Relation_Osym(T_b,V_s_2)
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__rtrancl,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Osym(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__trancl,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Osym(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__Id__on,axiom,
% 192.21/192.20 ! [V_A_2,T_b] : c_Relation_Osym(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__Un,axiom,
% 192.21/192.20 ! [V_s_2,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => ( c_Relation_Osym(T_b,V_s_2)
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__Id,axiom,
% 192.21/192.20 ! [T_b] : c_Relation_Osym(T_b,c_Relation_OId(T_b)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__converse,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 192.21/192.20 <=> c_Relation_Osym(T_b,V_r_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__conv__converse__eq,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 <=> hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2) = V_r_2 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_listrel__sym,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Osym(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_sym__inv__image,axiom,
% 192.21/192.20 ! [V_f_2,T_c,V_r_2,T_b] :
% 192.21/192.20 ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => c_Relation_Osym(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_equivE,axiom,
% 192.21/192.20 ! [V_r_2,V_A_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 192.21/192.20 => ~ ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.21/192.20 => ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => ~ c_Relation_Otrans(T_b,V_r_2) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_equivI,axiom,
% 192.21/192.20 ! [V_r_2,V_A_2,T_b] :
% 192.21/192.20 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.21/192.20 => ( c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 => ( c_Relation_Otrans(T_b,V_r_2)
% 192.21/192.20 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_equiv__def,axiom,
% 192.21/192.20 ! [V_r_2,V_A_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 192.21/192.20 <=> ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 192.21/192.20 & c_Relation_Osym(T_b,V_r_2)
% 192.21/192.20 & c_Relation_Otrans(T_b,V_r_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_symp__def,axiom,
% 192.21/192.20 ! [V_r_2,T_b] :
% 192.21/192.20 ( c_Predicate_Osymp(T_b,V_r_2)
% 192.21/192.20 <=> 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_part__equivp__refl__symp__transp,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 192.21/192.20 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 192.21/192.20 & c_Predicate_Osymp(T_b,V_R_2)
% 192.21/192.20 & c_Predicate_Otransp(T_b,V_R_2) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_part__equivpI,axiom,
% 192.21/192.20 ! [T_b,V_R_2] :
% 192.21/192.20 ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 192.21/192.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 192.21/192.20 => ( c_Predicate_Otransp(T_b,V_R_2)
% 192.21/192.20 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_equivp__implies__part__equivp,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 192.21/192.20 => c_Equiv__Relations_Opart__equivp(T_b,V_R_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_part__equivp__def,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 192.21/192.20 <=> ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 192.21/192.20 & ! [B_x,B_y] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 192.21/192.20 <=> ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 192.21/192.20 & hBOOL(hAPP(hAPP(V_R_2,B_y),B_y))
% 192.21/192.20 & hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_part__equivp__symp,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 192.21/192.20 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_part__equivp__transp,axiom,
% 192.21/192.20 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 192.21/192.20 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_part__equivpE,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 192.21/192.20 => ~ ( ? [B_x] : hBOOL(hAPP(hAPP(V_R_2,B_x),B_x))
% 192.21/192.20 => ( c_Predicate_Osymp(T_b,V_R_2)
% 192.21/192.20 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_part__equivp__typedef,axiom,
% 192.21/192.20 ! [V_R_2,T_b] :
% 192.21/192.20 ( c_Equiv__Relations_Opart__equivp(T_b,V_R_2)
% 192.21/192.20 => ? [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))))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inj__iff,axiom,
% 192.21/192.20 ! [V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 <=> 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__o__cancel,axiom,
% 192.21/192.20 ! [V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__id,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__def,axiom,
% 192.21/192.20 ! [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))) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__f__eq,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 192.21/192.20 => 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 ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__f__f,axiom,
% 192.21/192.20 ! [V_x_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__f__eq,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.20 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 192.21/192.20 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__f__f,axiom,
% 192.21/192.20 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 192.21/192.20 => 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 ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_f__inv__into__f,axiom,
% 192.21/192.20 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__into,axiom,
% 192.21/192.20 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__injective,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 192.21/192.20 ( 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)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 192.21/192.20 => V_x_2 = V_y_2 ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_image__surj__f__inv__f,axiom,
% 192.21/192.20 ! [V_A_2,V_f_2,T_b,T_c] :
% 192.21/192.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_surj__f__inv__f,axiom,
% 192.21/192.20 ! [V_y_2,V_f_2,T_b,T_c] :
% 192.21/192.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_surj__iff__all,axiom,
% 192.21/192.20 ! [V_f_2,T_b,T_c] :
% 192.21/192.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.20 <=> ! [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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_image__inv__into__cancel,axiom,
% 192.21/192.20 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 192.21/192.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 192.21/192.20 => 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 ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inj__imp__surj__inv,axiom,
% 192.21/192.20 ! [V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => 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)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_image__inv__f__f,axiom,
% 192.21/192.20 ! [V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__image__comp,axiom,
% 192.21/192.20 ! [V_X_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_surj__imp__inj__inv,axiom,
% 192.21/192.20 ! [V_f_2,T_b,T_c] :
% 192.21/192.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__image__cancel,axiom,
% 192.21/192.20 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 192.21/192.20 => 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 ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inj__on__inv__into,axiom,
% 192.21/192.20 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_o__inv__o__cancel,axiom,
% 192.21/192.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__comp,axiom,
% 192.21/192.20 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 192.21/192.20 ( 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))
% 192.21/192.20 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 192.21/192.20 => ( 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))))
% 192.21/192.20 => 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) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_surj__iff,axiom,
% 192.21/192.20 ! [V_f_2,T_b,T_c] :
% 192.21/192.20 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))
% 192.21/192.20 <=> 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inj__transfer,axiom,
% 192.21/192.20 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 192.21/192.20 => ( ! [B_y] :
% 192.21/192.20 ( 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)))))
% 192.21/192.20 => 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))) )
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_fold__image__UN__disjoint,axiom,
% 192.21/192.20 ! [V_g_2,V_A_2,T_c,V_I_2,T_b,T_d] :
% 192.21/192.20 ( class_Groups_Ocomm__monoid__mult(T_d)
% 192.21/192.20 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_I_2))
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 192.21/192.20 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 192.21/192.20 => ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 192.21/192.20 => ! [B_xa] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_I_2))
% 192.21/192.20 => ( B_x != B_xa
% 192.21/192.20 => 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)) ) ) )
% 192.21/192.20 => 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) ) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_nat__of__induct,axiom,
% 192.21/192.20 ! [V_Pa_2,V_y_2] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 192.21/192.20 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Onat__of,B_x)))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_nat__of__cases,axiom,
% 192.21/192.20 ! [V_y_2] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 192.21/192.20 => ~ ! [B_x] : V_y_2 != hAPP(c_Code__Numeral_Onat__of,B_x) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_of__nat__induct,axiom,
% 192.21/192.20 ! [V_x_2,V_Pa_2] :
% 192.21/192.20 ( ! [B_y] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,hAPP(c_Code__Numeral_Oof__nat,B_y))) )
% 192.21/192.20 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_of__nat__cases,axiom,
% 192.21/192.20 ! [V_x_2] :
% 192.21/192.20 ~ ! [B_y] :
% 192.21/192.20 ( V_x_2 = hAPP(c_Code__Numeral_Oof__nat,B_y)
% 192.21/192.20 => ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_y),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Orecs_I1_J,axiom,
% 192.21/192.20 ! [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 ).
% 192.21/192.20
% 192.21/192.20 fof(fact_beyond__def,axiom,
% 192.21/192.20 ! [V_l,V_k] :
% 192.21/192.20 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 192.21/192.20 => c_Quickcheck_Obeyond(V_k,V_l) = V_l )
% 192.21/192.20 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 192.21/192.20 => c_Quickcheck_Obeyond(V_k,V_l) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_beyond__zero,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_lazy__sequence_Orecs_I2_J,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__image__Collect__eq,axiom,
% 192.21/192.20 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_curry__def,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_curryI,axiom,
% 192.21/192.20 ! [V_b_2,V_a_2,T_c,T_b,V_f_2] :
% 192.21/192.20 ( hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2)))
% 192.21/192.20 => hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__betw__id,axiom,
% 192.21/192.20 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__betw__inv__into,axiom,
% 192.21/192.20 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 192.21/192.20 => 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) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__into__inv__into__eq,axiom,
% 192.21/192.20 ! [V_a_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 192.21/192.20 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__imp__bij__inv,axiom,
% 192.21/192.20 ! [V_f_2,T_c,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => 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))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_inv__inv__eq,axiom,
% 192.21/192.20 ! [V_f_2,T_c,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => 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 ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_o__inv__distrib,axiom,
% 192.21/192.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => 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)) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__betw__comp__iff2,axiom,
% 192.21/192.20 ! [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] :
% 192.21/192.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 192.21/192.20 => ( 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))
% 192.21/192.20 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 192.21/192.20 <=> 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) ) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__betw__comp__iff,axiom,
% 192.21/192.20 ! [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] :
% 192.21/192.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 192.21/192.20 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 192.21/192.20 <=> 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__betw__trans,axiom,
% 192.21/192.20 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 192.21/192.20 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 192.21/192.20 => 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) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_bij__comp,axiom,
% 192.21/192.20 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 192.21/192.20 ( 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)))
% 192.21/192.20 => ( 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)))
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_curryD,axiom,
% 192.21/192.20 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 192.21/192.20 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_curryE,axiom,
% 192.21/192.20 ! [V_b_2,V_a_2,V_f_2,T_c,T_b] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(T_b,T_c,tc_HOL_Obool,V_f_2),V_a_2),V_b_2))
% 192.21/192.20 => hBOOL(hAPP(V_f_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_2),V_b_2))) ) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_curry__conv,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(fact_split__curry,axiom,
% 192.21/192.20 ! [V_f_2,T_d,T_c,T_b] : hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),c_Product__Type_Ocurry(T_b,T_c,T_d,V_f_2)) = V_f_2 ).
% 192.21/192.20
% 192.21/192.20 %----Arity declarations (218)
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 192.21/192.20 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Obounded__lattice(T_1)
% 192.21/192.20 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 192.21/192.20 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Obounded__lattice(T_1)
% 192.21/192.20 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Obounded__lattice(T_1)
% 192.21/192.20 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Olattice(T_1)
% 192.21/192.20 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Olattice(T_1)
% 192.21/192.20 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Odistrib__lattice(T_1)
% 192.21/192.20 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Oboolean__algebra(T_1)
% 192.21/192.20 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Orderings_Opreorder,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Orderings_Opreorder(T_1)
% 192.21/192.20 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 192.21/192.20 ! [T_1,T_2] :
% 192.21/192.20 ( ( class_Finite__Set_Ofinite(T_2)
% 192.21/192.20 & class_Finite__Set_Ofinite(T_1) )
% 192.21/192.20 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Lattices_Olattice,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Lattices_Olattice(T_1)
% 192.21/192.20 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Orderings_Oorder,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Orderings_Oorder(T_1)
% 192.21/192.20 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Orderings_Otop,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Orderings_Otop(T_1)
% 192.21/192.20 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Orderings_Oord,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Orderings_Oord(T_1)
% 192.21/192.20 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Orderings_Obot,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Orderings_Obot(T_1)
% 192.21/192.20 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Groups_Ouminus,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Groups_Ouminus(T_1)
% 192.21/192.20 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Groups_Ominus,axiom,
% 192.21/192.20 ! [T_2,T_1] :
% 192.21/192.20 ( class_Groups_Ominus(T_1)
% 192.21/192.20 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_fun__Enum_Oenum,axiom,
% 192.21/192.20 ! [T_1,T_2] :
% 192.21/192.20 ( ( class_Enum_Oenum(T_2)
% 192.21/192.20 & class_Enum_Oenum(T_1) )
% 192.21/192.20 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 192.21/192.20 class_Nat_Osize(tc_Com_Ocom) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 192.21/192.20 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 192.21/192.20 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 192.21/192.20 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 192.21/192.20 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 192.21/192.20 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 192.21/192.20 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 192.21/192.20 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 192.21/192.20 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 192.21/192.20 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 192.21/192.20 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 192.21/192.20 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 192.21/192.20 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 192.21/192.20 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 192.21/192.20 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 192.21/192.20 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 192.21/192.20 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 192.21/192.20 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 192.21/192.20 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 192.21/192.20 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 192.21/192.20 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 192.21/192.20 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 192.21/192.20 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 192.21/192.20 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 192.21/192.20 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 192.21/192.20 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 192.21/192.20 class_Orderings_Opreorder(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 192.21/192.20 class_Orderings_Olinorder(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 192.21/192.20 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 192.21/192.20 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 192.21/192.20 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 192.21/192.20 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 192.21/192.20 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 192.21/192.20 class_Lattices_Olattice(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 192.21/192.20 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 192.21/192.20 class_Divides_Oring__div(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 192.21/192.20 class_Rings_Omult__zero(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 192.21/192.20 class_Orderings_Oorder(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 192.21/192.20 class_Int_Oring__char__0(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 192.21/192.20 class_Int_Onumber__ring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 192.21/192.20 class_Rings_Osemiring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 192.21/192.20 class_Orderings_Oord(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 192.21/192.20 class_Groups_Ouminus(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 192.21/192.20 class_Groups_Osgn__if(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 192.21/192.20 class_Groups_Oabs__if(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 192.21/192.20 class_Rings_Oring__1(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 192.21/192.20 class_Groups_Ominus(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Power_Opower,axiom,
% 192.21/192.20 class_Power_Opower(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 192.21/192.20 class_Groups_Ozero(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oring,axiom,
% 192.21/192.20 class_Rings_Oring(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 192.21/192.20 class_Rings_Oidom(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Int_Onumber,axiom,
% 192.21/192.20 class_Int_Onumber(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Int__Oint__Groups_Oone,axiom,
% 192.21/192.20 class_Groups_Oone(tc_Int_Oint) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 192.21/192.20 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 192.21/192.20 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 192.21/192.20 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 192.21/192.20 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 192.21/192.20 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 192.21/192.20 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 192.21/192.20 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 192.21/192.20 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 192.21/192.20 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 192.21/192.20 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 192.21/192.20 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 192.21/192.20 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 192.21/192.20 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 192.21/192.20 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 192.21/192.20 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 192.21/192.20 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 192.21/192.20 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 192.21/192.20 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 192.21/192.20 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 192.21/192.20 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 192.21/192.20 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 192.21/192.20 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 192.21/192.20 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 192.21/192.20 class_Lattices_Olattice(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 192.21/192.20 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 192.21/192.20 class_Orderings_Oorder(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 192.21/192.20 class_Rings_Osemiring(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 192.21/192.20 class_Orderings_Oord(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 192.21/192.20 class_Orderings_Obot(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 192.21/192.20 class_Groups_Ominus(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Power_Opower,axiom,
% 192.21/192.20 class_Power_Opower(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 192.21/192.20 class_Groups_Ozero(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 192.21/192.20 class_Int_Onumber(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 192.21/192.20 class_Groups_Oone(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 192.21/192.20 class_Nat_Osize(tc_Nat_Onat) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 192.21/192.20 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 192.21/192.20 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 192.21/192.20 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 192.21/192.20 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 192.21/192.20 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 192.21/192.20 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 192.21/192.20 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 192.21/192.20 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 192.21/192.20 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 192.21/192.20 class_Lattices_Olattice(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 192.21/192.20 class_Orderings_Oorder(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 192.21/192.20 class_Orderings_Otop(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 192.21/192.20 class_Orderings_Oord(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 192.21/192.20 class_Orderings_Obot(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 192.21/192.20 class_Groups_Ouminus(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 192.21/192.20 class_Groups_Ominus(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 192.21/192.20 class_Enum_Oenum(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 192.21/192.20 class_Nat_Osize(tc_HOL_Obool) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 192.21/192.20 class_Nat_Osize(tc_Com_Ostate) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 192.21/192.20 ! [T_1] :
% 192.21/192.20 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 192.21/192.20 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_List__Olist__Nat_Osize,axiom,
% 192.21/192.20 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 192.21/192.20 ! [T_1,T_2] :
% 192.21/192.20 ( ( class_Finite__Set_Ofinite(T_2)
% 192.21/192.20 & class_Finite__Set_Ofinite(T_1) )
% 192.21/192.20 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_sum__Enum_Oenum,axiom,
% 192.21/192.20 ! [T_1,T_2] :
% 192.21/192.20 ( ( class_Enum_Oenum(T_2)
% 192.21/192.20 & class_Enum_Oenum(T_1) )
% 192.21/192.20 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_sum__Nat_Osize,axiom,
% 192.21/192.20 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 192.21/192.20 ! [T_1] :
% 192.21/192.20 ( class_Finite__Set_Ofinite(T_1)
% 192.21/192.20 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 192.21/192.20 ! [T_1] :
% 192.21/192.20 ( class_Enum_Oenum(T_1)
% 192.21/192.20 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 192.21/192.20 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 192.21/192.20 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 192.21/192.20 ! [T_1,T_2] :
% 192.21/192.20 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 192.21/192.20 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 192.21/192.20 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 192.21/192.20 ! [T_1,T_2] :
% 192.21/192.20 ( ( class_Finite__Set_Ofinite(T_2)
% 192.21/192.20 & class_Finite__Set_Ofinite(T_1) )
% 192.21/192.20 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_prod__Enum_Oenum,axiom,
% 192.21/192.20 ! [T_1,T_2] :
% 192.21/192.20 ( ( class_Enum_Oenum(T_2)
% 192.21/192.20 & class_Enum_Oenum(T_1) )
% 192.21/192.20 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_prod__Nat_Osize,axiom,
% 192.21/192.20 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 192.21/192.20 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 192.21/192.20 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 192.21/192.20 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 192.21/192.20 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 192.21/192.20 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 192.21/192.20 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 192.21/192.20 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 192.21/192.20 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 192.21/192.20 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 192.21/192.20 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 192.21/192.20 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 192.21/192.20 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 192.21/192.20 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 192.21/192.20 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 192.21/192.20 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 192.21/192.20 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 192.21/192.20 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 192.21/192.20 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 192.21/192.20 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 192.21/192.20 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 192.21/192.20 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 192.21/192.20 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 192.21/192.20 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 192.21/192.20 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 192.21/192.20 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 192.21/192.20 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 192.21/192.20 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 192.21/192.20 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 192.21/192.20 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 192.21/192.20 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 192.21/192.20 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 192.21/192.20 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 192.21/192.20 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 192.21/192.20 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 192.21/192.20 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 192.21/192.20 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 192.21/192.20 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 192.21/192.20
% 192.21/192.20 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 192.21/192.20 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 192.21/192.20
% 192.21/192.20 %----Helper facts (20)
% 192.21/192.20 fof(help_c__COMBI__1,axiom,
% 192.21/192.20 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__COMBK__1,axiom,
% 192.21/192.20 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__COMBB__1,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__COMBC__1,axiom,
% 192.21/192.20 ! [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) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__COMBS__1,axiom,
% 192.21/192.20 ! [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)) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fequal__1,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2] :
% 192.21/192.20 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 192.21/192.20 | V_x_2 = V_y_2 ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fequal__2,axiom,
% 192.21/192.20 ! [V_y_2,V_x_2] :
% 192.21/192.20 ( V_x_2 != V_y_2
% 192.21/192.20 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fFalse__1,axiom,
% 192.21/192.20 ~ hBOOL(c_fFalse) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fTrue__1,axiom,
% 192.21/192.20 hBOOL(c_fTrue) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fNot__1,axiom,
% 192.21/192.20 ! [V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 192.21/192.20 | ~ hBOOL(V_Pa_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fNot__2,axiom,
% 192.21/192.20 ! [V_Pa_2] :
% 192.21/192.20 ( ~ ~ hBOOL(V_Pa_2)
% 192.21/192.20 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fconj__1,axiom,
% 192.21/192.20 ! [V_Qa_2,V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(V_Pa_2)
% 192.21/192.20 | ~ hBOOL(V_Qa_2)
% 192.21/192.20 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fconj__2,axiom,
% 192.21/192.20 ! [V_Qa_2,V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 192.21/192.20 | hBOOL(V_Pa_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fconj__3,axiom,
% 192.21/192.20 ! [V_Qa_2,V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 192.21/192.20 | hBOOL(V_Qa_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fdisj__1,axiom,
% 192.21/192.20 ! [V_Qa_2,V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(V_Pa_2)
% 192.21/192.20 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fdisj__2,axiom,
% 192.21/192.20 ! [V_Pa_2,V_Qa_2] :
% 192.21/192.20 ( ~ hBOOL(V_Qa_2)
% 192.21/192.20 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fdisj__3,axiom,
% 192.21/192.20 ! [V_Qa_2,V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 192.21/192.20 | hBOOL(V_Pa_2)
% 192.21/192.20 | hBOOL(V_Qa_2) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fimplies__1,axiom,
% 192.21/192.20 ! [V_Qa_2,V_Pa_2] :
% 192.21/192.20 ( hBOOL(V_Pa_2)
% 192.21/192.20 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fimplies__2,axiom,
% 192.21/192.20 ! [V_Pa_2,V_Qa_2] :
% 192.21/192.20 ( ~ hBOOL(V_Qa_2)
% 192.21/192.20 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 192.21/192.20
% 192.21/192.20 fof(help_c__fimplies__3,axiom,
% 192.21/192.20 ! [V_Qa_2,V_Pa_2] :
% 192.21/192.20 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 192.21/192.20 | ~ hBOOL(V_Pa_2)
% 192.21/192.20 | hBOOL(V_Qa_2) ) ).
% 192.21/192.20
% 192.21/192.20 %----Conjectures (5)
% 192.21/192.20 fof(conj_0,hypothesis,
% 192.21/192.20 ! [B_n] :
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( 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))))
% 192.21/192.20 => c_Hoare__Mirabelle_Otriple__valid(t_a,B_n,B_x) )
% 192.21/192.20 => ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_Procs))
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(conj_1,hypothesis,
% 192.21/192.20 ( ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 192.21/192.20 => c_Hoare__Mirabelle_Otriple__valid(t_a,v_na,B_x) )
% 192.21/192.20 => ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_Procs))
% 192.21/192.20 => 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))) ) ) ).
% 192.21/192.20
% 192.21/192.20 fof(conj_2,hypothesis,
% 192.21/192.20 ! [B_x] :
% 192.21/192.20 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),B_x),v_G))
% 192.21/192.20 => c_Hoare__Mirabelle_Otriple__valid(t_a,hAPP(c_Nat_OSuc,v_na),B_x) ) ).
% 192.21/192.20
% 192.21/192.20 fof(conj_3,hypothesis,
% 192.21/192.20 hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),v_x),v_Procs)) ).
% 192.21/192.20
% 192.21/192.20 fof(conj_4,conjecture,
% 192.21/192.20 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))) ).
% 192.21/192.20
% 192.21/192.20 %------------------------------------------------------------------------------
% 192.21/192.20 %-------------------------------------------
% 192.21/192.20 % Proof found
% 192.21/192.20 % SZS status Theorem for theBenchmark
% 192.21/192.20 % SZS output start Proof
% 192.21/192.21 %ClaNum:10380(EqnAxiom:3026)
% 192.21/192.21 %VarNum:70900(SingletonVarNum:20542)
% 192.21/192.21 %MaxLitNum:8
% 192.21/192.21 %MaxfuncDepth:13
% 192.21/192.21 %SharedTerms:1039
% 192.21/192.21 %goalClause: 4665
% 192.21/192.21 %singleGoalClaCount:1
% 192.21/192.21 [3030]P1(a190)
% 192.21/192.21 [3031]P2(a904)
% 192.21/192.21 [3032]P2(a909)
% 192.21/192.21 [3033]P2(a1)
% 192.21/192.21 [3034]P103(a904)
% 192.21/192.21 [3035]P103(a909)
% 192.21/192.21 [3036]P103(a1)
% 192.21/192.21 [3037]P3(a904)
% 192.21/192.21 [3038]P105(a904)
% 192.21/192.21 [3039]P105(a909)
% 192.21/192.21 [3040]P109(a909)
% 192.21/192.21 [3041]P109(a1)
% 192.21/192.21 [3042]P109(a104)
% 192.21/192.21 [3043]P110(a909)
% 192.21/192.21 [3044]P4(a909)
% 192.21/192.21 [3045]P4(a1)
% 192.21/192.21 [3046]P4(a104)
% 192.21/192.21 [3047]P116(a909)
% 192.21/192.21 [3048]P116(a1)
% 192.21/192.21 [3049]P116(a104)
% 192.21/192.21 [3050]P83(a909)
% 192.21/192.21 [3051]P83(a1)
% 192.21/192.21 [3052]P83(a104)
% 192.21/192.21 [3053]P5(a909)
% 192.21/192.21 [3054]P5(a1)
% 192.21/192.21 [3055]P5(a104)
% 192.21/192.21 [3056]P6(a909)
% 192.21/192.21 [3057]P6(a1)
% 192.21/192.21 [3058]P6(a104)
% 192.21/192.21 [3059]P7(a909)
% 192.21/192.21 [3060]P7(a1)
% 192.21/192.21 [3061]P7(a104)
% 192.21/192.21 [3062]P8(a904)
% 192.21/192.21 [3063]P8(a912)
% 192.21/192.21 [3064]P146(a909)
% 192.21/192.21 [3065]P146(a1)
% 192.21/192.21 [3066]P77(a909)
% 192.21/192.21 [3067]P77(a1)
% 192.21/192.21 [3068]P77(a104)
% 192.21/192.21 [3069]P78(a1)
% 192.21/192.21 [3070]P104(a904)
% 192.21/192.21 [3071]P104(a909)
% 192.21/192.21 [3072]P104(a1)
% 192.21/192.21 [3073]P81(a904)
% 192.21/192.21 [3074]P81(a909)
% 192.21/192.21 [3075]P81(a1)
% 192.21/192.21 [3076]P81(a104)
% 192.21/192.21 [3077]P74(a1)
% 192.21/192.21 [3078]P79(a1)
% 192.21/192.21 [3079]P101(a904)
% 192.21/192.21 [3080]P101(a909)
% 192.21/192.21 [3081]P101(a1)
% 192.21/192.21 [3082]P111(a904)
% 192.21/192.21 [3083]P111(a909)
% 192.21/192.21 [3084]P111(a1)
% 192.21/192.21 [3085]P111(a104)
% 192.21/192.21 [3086]P112(a909)
% 192.21/192.21 [3087]P112(a1)
% 192.21/192.21 [3088]P112(a104)
% 192.21/192.21 [3089]P113(a904)
% 192.21/192.21 [3090]P113(a909)
% 192.21/192.21 [3091]P113(a1)
% 192.21/192.21 [3092]P113(a104)
% 192.21/192.21 [3093]P114(a904)
% 192.21/192.21 [3094]P114(a909)
% 192.21/192.21 [3095]P114(a1)
% 192.21/192.21 [3096]P114(a104)
% 192.21/192.21 [3097]P84(a909)
% 192.21/192.21 [3098]P84(a1)
% 192.21/192.21 [3099]P84(a104)
% 192.21/192.21 [3100]P86(a909)
% 192.21/192.21 [3101]P86(a1)
% 192.21/192.21 [3102]P86(a104)
% 192.21/192.21 [3103]P90(a909)
% 192.21/192.21 [3104]P90(a1)
% 192.21/192.21 [3105]P90(a104)
% 192.21/192.21 [3106]P87(a1)
% 192.21/192.21 [3107]P91(a909)
% 192.21/192.21 [3108]P91(a1)
% 192.21/192.21 [3109]P91(a104)
% 192.21/192.21 [3110]P120(a1)
% 192.21/192.21 [3111]P126(a909)
% 192.21/192.21 [3112]P126(a1)
% 192.21/192.21 [3113]P126(a104)
% 192.21/192.21 [3114]P129(a1)
% 192.21/192.21 [3115]P95(a1)
% 192.21/192.21 [3116]P147(a909)
% 192.21/192.21 [3117]P147(a1)
% 192.21/192.21 [3118]P147(a104)
% 192.21/192.21 [3119]P80(a909)
% 192.21/192.21 [3120]P80(a1)
% 192.21/192.21 [3121]P80(a104)
% 192.21/192.21 [3122]P130(a1)
% 192.21/192.21 [3123]P127(a1)
% 192.21/192.21 [3124]P128(a1)
% 192.21/192.21 [3125]P131(a909)
% 192.21/192.21 [3126]P131(a1)
% 192.21/192.21 [3127]P131(a104)
% 192.21/192.21 [3128]P138(a1)
% 192.21/192.21 [3129]P140(a909)
% 192.21/192.21 [3130]P140(a1)
% 192.21/192.21 [3131]P140(a104)
% 192.21/192.21 [3132]P139(a909)
% 192.21/192.21 [3133]P139(a1)
% 192.21/192.21 [3134]P139(a104)
% 192.21/192.21 [3135]P142(a909)
% 192.21/192.21 [3136]P142(a1)
% 192.21/192.21 [3137]P142(a104)
% 192.21/192.21 [3138]P75(a909)
% 192.21/192.21 [3139]P75(a1)
% 192.21/192.21 [3140]P75(a104)
% 192.21/192.21 [3141]P132(a909)
% 192.21/192.21 [3142]P132(a1)
% 192.21/192.21 [3143]P132(a104)
% 192.21/192.21 [3144]P133(a909)
% 192.21/192.21 [3145]P133(a1)
% 192.21/192.21 [3146]P133(a104)
% 192.21/192.21 [3147]P136(a909)
% 192.21/192.21 [3148]P136(a1)
% 192.21/192.21 [3149]P136(a104)
% 192.21/192.21 [3150]P143(a1)
% 192.21/192.21 [3151]P137(a909)
% 192.21/192.21 [3152]P137(a1)
% 192.21/192.21 [3153]P137(a104)
% 192.21/192.21 [3154]P145(a909)
% 192.21/192.21 [3155]P145(a1)
% 192.21/192.21 [3156]P145(a104)
% 192.21/192.21 [3157]P117(a909)
% 192.21/192.21 [3158]P117(a1)
% 192.21/192.21 [3159]P117(a104)
% 192.21/192.21 [3160]P88(a909)
% 192.21/192.21 [3161]P88(a1)
% 192.21/192.21 [3162]P88(a104)
% 192.21/192.21 [3163]P85(a909)
% 192.21/192.21 [3164]P85(a1)
% 192.21/192.21 [3165]P85(a104)
% 192.21/192.21 [3166]P134(a1)
% 192.21/192.21 [3167]P135(a1)
% 192.21/192.21 [3168]P121(a909)
% 192.21/192.21 [3169]P121(a1)
% 192.21/192.21 [3170]P121(a104)
% 192.21/192.21 [3171]P106(a909)
% 192.21/192.21 [3172]P106(a1)
% 192.21/192.21 [3173]P106(a104)
% 192.21/192.21 [3174]P144(a1)
% 192.21/192.21 [3175]P118(a909)
% 192.21/192.21 [3176]P118(a1)
% 192.21/192.21 [3177]P118(a104)
% 192.21/192.21 [3178]P9(a909)
% 192.21/192.21 [3179]P9(a1)
% 192.21/192.21 [3180]P9(a104)
% 192.21/192.21 [3181]P10(a1)
% 192.21/192.21 [3182]P89(a1)
% 192.21/192.21 [3183]P141(a1)
% 192.21/192.21 [3184]P82(a909)
% 192.21/192.21 [3185]P82(a1)
% 192.21/192.21 [3186]P82(a104)
% 192.21/192.21 [3187]P11(a904)
% 192.21/192.21 [3188]P115(a904)
% 192.21/192.21 [3189]P102(a904)
% 192.21/192.21 [3190]P98(a904)
% 192.21/192.21 [3191]P92(a904)
% 192.21/192.21 [3192]P92(a1)
% 192.21/192.21 [3193]P122(a1)
% 192.21/192.21 [3194]P119(a1)
% 192.21/192.21 [3195]P76(a1)
% 192.21/192.21 [3196]P93(a1)
% 192.21/192.21 [3197]P96(a1)
% 192.21/192.21 [3198]P97(a909)
% 192.21/192.21 [3199]P97(a1)
% 192.21/192.21 [3200]P97(a104)
% 192.21/192.21 [3201]P94(a909)
% 192.21/192.21 [3202]P94(a1)
% 192.21/192.21 [3203]P94(a104)
% 192.21/192.21 [3204]P69(a904)
% 192.21/192.21 [3205]P69(a912)
% 192.21/192.21 [3206]P108(a905)
% 192.21/192.21 [3207]P108(a904)
% 192.21/192.21 [3208]P108(a906)
% 192.21/192.21 [3209]P108(a909)
% 192.21/192.21 [3210]P108(a912)
% 192.21/192.21 [3211]P108(a104)
% 192.21/192.21 [3212]P108(a325)
% 192.21/192.21 [3213]P107(a1)
% 192.21/192.21 [3214]P107(a912)
% 192.21/192.21 [3215]P100(a904)
% 192.21/192.21 [3231]P44(a909,a245)
% 192.21/192.21 [3232]P44(a909,a319)
% 192.21/192.21 [3233]P45(a909,a245)
% 192.21/192.21 [3315]P47(a909,a909,a117)
% 192.21/192.21 [4573]~E(a102,a85)
% 192.21/192.21 [4574]~P1(a244)
% 192.21/192.21 [3027]E(f2(a1),a85)
% 192.21/192.21 [3028]E(f105(a104),a3)
% 192.21/192.21 [3029]E(f23(a104),a24)
% 192.21/192.21 [3216]E(f191(a909),f2(a909))
% 192.21/192.21 [3217]E(f30(a25),f2(a909))
% 192.21/192.21 [3218]E(f106(a909),f237(a909))
% 192.21/192.21 [3219]E(f115(a909),f238(a909))
% 192.21/192.21 [3220]E(f107(a1),f33(a1))
% 192.21/192.21 [3221]E(f86(a244),f2(a909))
% 192.21/192.21 [3222]E(f86(a190),f2(a909))
% 192.21/192.21 [3223]P12(f2(a1))
% 192.21/192.21 [3224]P12(f80(a1))
% 192.21/192.21 [3281]P44(f916(a909,a909),a34)
% 192.21/192.21 [3627]E(f321(a909,a909,a245,a245),a34)
% 192.21/192.21 [4575]~E(f80(a1),f2(a1))
% 192.21/192.21 [3225]E(f4(f2(a104)),f2(a909))
% 192.21/192.21 [3226]E(f116(f2(a909)),f2(a909))
% 192.21/192.21 [3235]E(f329(f81(a1),a85),a85)
% 192.21/192.21 [3239]E(f329(a3,f2(a909)),f2(a104))
% 192.21/192.21 [3240]E(f329(a117,f2(a909)),f80(a909))
% 192.21/192.21 [3241]E(f329(a109,f80(a1)),f80(a909))
% 192.21/192.21 [3242]E(f329(a3,f80(a909)),f80(a104))
% 192.21/192.21 [3244]E(f329(f108(a1),a85),f2(a1))
% 192.21/192.21 [3245]E(f329(f108(a104),a85),f2(a104))
% 192.21/192.21 [3246]E(f329(a109,f2(a1)),f2(a909))
% 192.21/192.21 [3247]E(f329(f192(a905),a25),f2(a909))
% 192.21/192.21 [3248]E(f329(f192(a904),a244),f2(a909))
% 192.21/192.21 [3249]E(f329(f192(a904),a190),f2(a909))
% 192.21/192.21 [3250]E(f329(f108(a909),a85),f2(a909))
% 192.21/192.21 [3256]E(f329(f81(a1),f80(a1)),a102)
% 192.21/192.21 [3264]E(f329(f192(a104),f2(a104)),f2(a909))
% 192.21/192.21 [3265]E(f329(f105(a1),f2(a909)),f2(a1))
% 192.21/192.21 [3266]E(f329(f105(a1),f80(a909)),f80(a1))
% 192.21/192.21 [3267]E(f329(f81(a1),f2(a1)),f2(a1))
% 192.21/192.21 [3278]E(f329(a109,f80(a1)),f329(a117,f2(a909)))
% 192.21/192.21 [3279]E(f320(f916(a909,a909),a34),a35)
% 192.21/192.21 [3280]E(f322(f916(a909,a909),a34),a70)
% 192.21/192.21 [3307]E(f329(f285(a909),f2(a909)),f191(f917(a909,a904)))
% 192.21/192.21 [3308]E(f329(f286(a909),f2(a909)),f247(f917(a909,a904)))
% 192.21/192.21 [3317]P48(f191(f917(a1,a904)))
% 192.21/192.21 [3351]E(f329(f329(f23(a104),f2(a104)),f80(a104)),f2(a104))
% 192.21/192.21 [3428]P1(f329(f329(f240(a1),a102),f2(a1)))
% 192.21/192.21 [3452]P1(f329(f329(f240(a1),f2(a1)),f80(a1)))
% 192.21/192.21 [3454]P1(f329(f329(f239(a1),f2(a1)),f80(a1)))
% 192.21/192.21 [3660]E(f329(f329(f291(a909,a909,a909),a319),f309(a909,a319)),a245)
% 192.21/192.21 [3698]P50(a1,a909,a109,f329(f239(a1),f2(a1)))
% 192.21/192.21 [3702]E(f329(f329(f40(a909,f917(a909,a904)),f247(f917(a909,a904))),f285(a909)),f247(f917(a909,a904)))
% 192.21/192.21 [3703]E(f329(f329(f40(a909,f917(a909,a904)),f247(f917(a909,a904))),f303(a909)),f247(f917(a909,a904)))
% 192.21/192.21 [3704]E(f329(f329(f40(a909,f917(a909,a904)),f247(f917(a909,a904))),f286(a909)),f247(f917(a909,a904)))
% 192.21/192.21 [3705]E(f329(f329(f41(a909,f917(a909,a904)),f247(f917(a909,a904))),f306(a909)),f191(f917(a909,a904)))
% 192.21/192.21 [3721]P31(a909,a1,f105(a1),f247(f917(a909,a904)))
% 192.21/192.21 [3735]P50(a909,a1,f105(a1),f329(f16(a904,a909),a190))
% 192.21/192.21 [3871]E(f329(f74(a909,a104,a1,a3),a109),f108(a104))
% 192.21/192.21 [4092]P65(a104,a909,a20,a3,f247(f917(a909,a904)))
% 192.21/192.21 [4099]P65(a1,f917(f916(a909,a909),a904),a112,a91,a103)
% 192.21/192.21 [4352]E(f263(a1,a1,a1,a1,f33(a1),f81(a1)),a52)
% 192.21/192.21 [4596]~E(f329(f108(a1),a102),f329(f108(a1),a85))
% 192.21/192.21 [4597]~P1(f329(a196,f2(a1)))
% 192.21/192.21 [4598]~P1(f329(a196,f80(a1)))
% 192.21/192.21 [4639]~P1(f329(f329(f240(a1),a85),f2(a1)))
% 192.21/192.21 [4665]~P34(a903,f329(a117,a922),f329(f329(f329(f93(a903),f329(a920,a918)),f329(a26,a918)),f329(a923,a918)))
% 192.21/192.21 [3300]E(f329(f329(f23(a1),a102),a102),a85)
% 192.21/192.21 [3314]E(f329(f105(a1),f329(a117,f2(a909))),f80(a1))
% 192.21/192.21 [3380]E(f329(f36(a912),f247(f917(a912,a904))),f80(a909))
% 192.21/192.21 [3400]P1(f329(a196,f329(f108(a1),a102)))
% 192.21/192.21 [3401]P1(f329(f329(f331(a907),a918),a919))
% 192.21/192.21 [3402]P1(f329(f329(f240(a1),a102),a85))
% 192.21/192.21 [3404]P1(f329(f329(f239(a1),a102),a85))
% 192.21/192.21 [3463]E(f329(f329(f311(a909),f2(a909)),f191(f917(a909,a904))),f329(f303(a909),f2(a909)))
% 192.21/192.21 [3518]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),a85)))
% 192.21/192.21 [3530]E(f329(f312(a909,a909,a117),f247(f917(a909,a904))),f329(f306(a909),f2(a909)))
% 192.21/192.21 [3567]P14(f916(a909,a909),f247(f917(f916(a909,a909),a904)),a113)
% 192.21/192.21 [3878]E(f329(f74(a909,a1,a104,f105(a1)),a20),a22)
% 192.21/192.21 [3939]P44(a909,f329(f267(f916(a909,a909)),f329(f262(a909,a909,a904),f240(a909))))
% 192.21/192.21 [4630]~P1(f329(a196,f329(f108(a1),a85)))
% 192.21/192.21 [4631]~P1(f329(f329(f240(a1),a85),a85))
% 192.21/192.21 [4632]~P1(f329(f329(f240(a1),a85),a102))
% 192.21/192.21 [4633]~P1(f329(f329(f240(a1),a102),a102))
% 192.21/192.21 [4634]~P1(f329(f329(f239(a1),a85),a102))
% 192.21/192.21 [4645]~P1(f329(f62(a909),f247(f917(a909,a904))))
% 192.21/192.21 [4646]~P1(f329(f62(a1),f247(f917(a1,a904))))
% 192.21/192.21 [4518]E(f329(f262(a1,a1,a904),f329(f329(f8(f917(a1,a904),f917(a1,a904),a1),f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f240(a1),f2(a1))))),f329(f329(f7(a1,a1,f917(a1,a904)),f329(f329(f8(f917(a1,f917(a1,a904)),f917(a1,f917(a1,a904)),a1),f7(a1,a1,a904)),f329(f329(f8(f917(a1,a1),f917(a1,f917(a1,a904)),a1),f329(f8(a1,f917(a1,a904),a1),a326)),a221))),f80(a1)))),a217)
% 192.21/192.21 [3602]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f81(a1),a102))
% 192.21/192.21 [3642]E(f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102),f329(f329(f23(a1),a85),a102))
% 192.21/192.21 [3805]E(f329(f329(f61(f916(a909,a909)),f247(f917(f916(a909,a909),a904))),a113),a103)
% 192.21/192.21 [3834]E(f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a1))
% 192.21/192.21 [3835]E(f329(f108(a104),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a104))
% 192.21/192.21 [3836]E(f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(a909))
% 192.21/192.21 [3840]E(f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(a117,f2(a909)))
% 192.21/192.21 [4220]E(f329(f329(f115(f917(f916(f916(a909,a909),f916(a909,a909)),a904)),a34),f309(f916(a909,a909),f191(f917(f916(f916(a909,a909),f916(a909,a909)),a904)))),a72)
% 192.21/192.21 [4286]E(f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),f2(a909)),f2(a909))),f191(f917(f916(a909,a909),a904))))),f2(a1))
% 192.21/192.21 [4287]E(f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),f80(a909)),f2(a909))),f191(f917(f916(a909,a909),a904))))),f80(a1))
% 192.21/192.21 [4300]E(f329(f267(f916(a909,a909)),f329(f262(a909,a909,a904),f329(f329(f8(a909,f917(a909,a904),a909),f329(f7(a909,a909,a904),a326)),a117))),a319)
% 192.21/192.21 [4272]E(f329(f108(a909),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(a909))))
% 192.21/192.21 [4275]E(f329(f108(a909),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(a909),f80(a909)),f80(a909)))
% 192.21/192.21 [4276]E(f329(f108(a909),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(a904),f247(f917(a904,a904))))
% 192.21/192.21 [4339]P12(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))))
% 192.21/192.21 [4408]P33(f917(f916(a909,a909),a904),f329(f329(f257(f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904),f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904)),a35),a71))
% 192.21/192.21 [4409]P33(f917(f916(a909,a909),a904),f329(f329(f257(f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904),f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904)),a70),a73))
% 192.21/192.21 [4449]E(f329(f329(f115(f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904)),f322(f916(a909,a909),a72)),f329(f329(f311(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),f191(f917(f916(a909,a909),a904))),f191(f917(f916(a909,a909),a904)))),f191(f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904)))),a73)
% 192.21/192.21 [4450]E(f329(f329(f115(f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904)),f320(f916(a909,a909),a72)),f329(f329(f311(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),f191(f917(f916(a909,a909),a904))),f191(f917(f916(a909,a909),a904)))),f191(f917(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a904)))),a71)
% 192.21/192.21 [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(a909))))
% 192.21/192.21 [4386]E(f329(f105(a1),f329(f108(a909),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))))
% 192.21/192.21 [4419]P1(f329(f329(f239(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)))))
% 192.21/192.21 [4420]E(f329(f108(a909),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(a909)))))
% 192.21/192.21 [4464]P12(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)))
% 192.21/192.21 [4490]E(f329(f105(a1),f329(f108(a909),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)))
% 192.21/192.21 [4503]P1(f329(f329(f239(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))))
% 192.21/192.21 [3234]P13(x32341,a326)
% 192.21/192.21 [3628]P31(a909,a909,a117,x36281)
% 192.21/192.21 [3227]P108(f908(x32271))
% 192.21/192.21 [3228]P108(f913(x32281))
% 192.21/192.21 [3229]P108(f910(x32291))
% 192.21/192.21 [3230]P108(f911(x32301))
% 192.21/192.21 [3251]P44(a1,f110(x32511))
% 192.21/192.21 [3252]P44(a1,f111(x32521))
% 192.21/192.21 [3303]P44(f917(x33031,a904),f316(x33031))
% 192.21/192.21 [3304]P45(f917(x33041,a904),f316(x33041))
% 192.21/192.21 [3329]E(f248(x33291,x33291,a326),a326)
% 192.21/192.21 [3344]E(f46(a1,x33441,x33441),f2(a1))
% 192.21/192.21 [3397]P20(x33971,f917(x33971,a904),f311(x33971))
% 192.21/192.21 [4577]~E(f329(a26,x45771),a25)
% 192.21/192.21 [4579]~E(f329(a117,x45791),x45791)
% 192.21/192.21 [4589]~E(f329(a117,x45891),f2(a909))
% 192.21/192.21 [3236]E(f329(f192(a909),x32361),x32361)
% 192.21/192.21 [3237]E(f329(f108(a1),x32371),x32371)
% 192.21/192.21 [3253]E(f329(a91,f330(x32531)),x32531)
% 192.21/192.21 [3254]E(f329(a3,f567(x32541)),x32541)
% 192.21/192.21 [3255]E(f246(x32551,f2(a104)),f2(a104))
% 192.21/192.21 [3268]E(f119(x32681,f118(x32681)),f118(x32681))
% 192.21/192.21 [3269]E(f155(x32691,f118(x32691)),f118(x32691))
% 192.21/192.21 [3271]E(f30(f329(a26,x32711)),f2(a909))
% 192.21/192.21 [3275]E(f329(f170(x32751),f118(x32751)),f118(x32751))
% 192.21/192.21 [3276]E(f329(f174(x32761),f118(x32761)),f118(x32761))
% 192.21/192.21 [3277]E(f329(f171(x32771),f118(x32771)),f118(x32771))
% 192.21/192.21 [3282]E(f329(f108(a1),x32821),f329(f107(a1),x32821))
% 192.21/192.21 [3283]E(f329(a91,f329(a112,x32831)),x32831)
% 192.21/192.21 [3285]E(f329(a3,f329(a20,x32851)),x32851)
% 192.21/192.21 [3286]E(f329(a20,f329(a3,x32861)),x32861)
% 192.21/192.21 [3287]P12(f329(f105(a1),x32871))
% 192.21/192.21 [3296]E(f329(f192(f910(x32961)),f118(x32961)),f2(a909))
% 192.21/192.21 [3297]E(f329(f192(f911(x32971)),f124(x32971)),f2(a909))
% 192.21/192.21 [3302]E(f329(f192(a905),f329(a26,x33021)),f2(a909))
% 192.21/192.21 [3320]E(f329(f329(f82(a909),x33201),f2(a909)),x33201)
% 192.21/192.21 [3321]E(f329(f329(f82(a1),x33211),f2(a1)),x33211)
% 192.21/192.21 [3322]E(f329(f329(f23(a909),x33221),f2(a909)),x33221)
% 192.21/192.21 [3323]E(f329(f329(f83(a909),x33231),f80(a909)),x33231)
% 192.21/192.21 [3324]E(f329(f329(f83(a1),x33241),f80(a1)),x33241)
% 192.21/192.21 [3325]E(f329(f329(f238(a909),x33251),f2(a909)),x33251)
% 192.21/192.21 [3326]E(f329(f329(f83(a909),x33261),f2(a909)),f2(a909))
% 192.21/192.21 [3327]E(f329(f329(f37(a1),x33271),f2(a1)),f2(a1))
% 192.21/192.21 [3328]E(f329(f329(f237(a909),x33281),f2(a909)),f2(a909))
% 192.21/192.21 [3335]E(f329(f175(x33351),f118(x33351)),f191(f917(x33351,a904)))
% 192.21/192.21 [3339]P1(f329(f140(x33391),f118(x33391)))
% 192.21/192.21 [3345]E(f329(f157(x33451,x33451),f5(x33451)),f33(f910(x33451)))
% 192.21/192.21 [3346]E(f329(f157(x33461,x33461),f33(x33461)),f33(f910(x33461)))
% 192.21/192.21 [3347]E(f46(a1,x33471,f2(a1)),x33471)
% 192.21/192.21 [3348]E(f329(f239(a909),f329(a117,x33481)),f329(f240(a909),x33481))
% 192.21/192.21 [3349]E(f329(f285(a909),f329(a117,x33491)),f329(f303(a909),x33491))
% 192.21/192.21 [3350]E(f329(f286(a909),f329(a117,x33501)),f329(f306(a909),x33501))
% 192.21/192.21 [3352]E(f46(a1,f2(a1),x33521),f2(a1))
% 192.21/192.21 [3365]E(f329(f329(f82(a909),x33651),f80(a909)),f329(a117,x33651))
% 192.21/192.21 [3374]E(f329(f304(a909,x33741),f2(a909)),f191(f917(a909,a904)))
% 192.21/192.21 [3386]E(f305(a909,f2(a909),x33861),f329(f303(a909),x33861))
% 192.21/192.21 [3431]E(f329(f329(f23(a909),f329(a117,x34311)),f80(a909)),x34311)
% 192.21/192.21 [3443]E(f48(f2(a1),x34431),f329(f329(f257(a1,a1),f2(a1)),f2(a1)))
% 192.21/192.21 [3493]P1(f329(f329(f240(a909),x34931),f329(a117,x34931)))
% 192.21/192.21 [3505]P1(f329(f329(f240(a909),f2(a909)),f329(a117,x35051)))
% 192.21/192.21 [3734]E(f94(x37341,x37341,f247(f917(x37341,a904)),f33(x37341)),f33(x37341))
% 192.21/192.21 [3791]E(f329(f329(f23(a104),f329(a3,f329(a117,f329(a20,x37911)))),f80(a104)),x37911)
% 192.21/192.21 [3863]P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x38631))),f2(a1)))
% 192.21/192.21 [4008]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),f329(a117,x40081)))),f2(a1)))
% 192.21/192.21 [4603]~E(f247(f917(x46031,a904)),f191(f917(x46031,a904)))
% 192.21/192.21 [4642]~P1(f329(f329(f240(a909),x46421),f2(a909)))
% 192.21/192.21 [4655]~P1(f329(f329(f240(a1),f329(f105(a1),x46551)),f2(a1)))
% 192.21/192.21 [3301]E(f182(x33011,f118(f910(x33011))),f118(f910(x33011)))
% 192.21/192.21 [3305]E(f329(f329(f83(a1),a85),x33051),a85)
% 192.21/192.21 [3306]E(f329(f329(f82(a1),a85),x33061),x33061)
% 192.21/192.21 [3309]E(f329(a109,f329(f105(a1),x33091)),x33091)
% 192.21/192.21 [3310]E(f329(f329(f82(a1),x33101),a85),x33101)
% 192.21/192.21 [3311]E(f329(f329(f23(a1),x33111),a85),x33111)
% 192.21/192.21 [3313]E(f329(f329(f23(a909),x33131),x33131),f2(a909))
% 192.21/192.21 [3318]E(f329(f36(a909),f329(f285(a909),x33181)),x33181)
% 192.21/192.21 [3319]E(f329(f81(a1),f329(f81(a1),x33191)),x33191)
% 192.21/192.21 [3330]E(f329(f329(f82(a909),f2(a909)),x33301),x33301)
% 192.21/192.21 [3331]E(f329(f329(f82(a1),f2(a1)),x33311),x33311)
% 192.21/192.21 [3332]E(f329(f329(f83(a909),f80(a909)),x33321),x33321)
% 192.21/192.21 [3333]E(f329(f329(f83(a1),f80(a1)),x33331),x33331)
% 192.21/192.21 [3334]E(f329(f329(f238(a909),f2(a909)),x33341),x33341)
% 192.21/192.21 [3340]E(f329(f329(f23(a909),f2(a909)),x33401),f2(a909))
% 192.21/192.21 [3341]E(f329(f329(f83(a909),f2(a909)),x33411),f2(a909))
% 192.21/192.21 [3342]E(f329(f329(f37(a1),f2(a1)),x33421),f2(a1))
% 192.21/192.21 [3343]E(f329(f329(f237(a909),f2(a909)),x33431),f2(a909))
% 192.21/192.21 [3353]E(f132(x33531,f329(f81(a1),x33531)),f135(a1,x33531))
% 192.21/192.21 [3358]E(f329(f304(a909,f2(a909)),x33581),f329(f285(a909),x33581))
% 192.21/192.21 [3359]E(f329(f329(f83(a1),a102),x33591),f329(f81(a1),x33591))
% 192.21/192.21 [3367]E(f329(a109,f329(f108(a1),x33671)),f329(f108(a909),x33671))
% 192.21/192.21 [3368]E(f329(a20,f329(f108(a104),x33681)),f329(f108(a909),x33681))
% 192.21/192.21 [3369]E(f329(f36(a909),f329(f303(a909),x33691)),f329(a117,x33691))
% 192.21/192.21 [3378]E(f329(f329(f82(a909),f80(a909)),x33781),f329(a117,x33781))
% 192.21/192.21 [3382]E(f329(f77(a1),f329(f105(a1),x33821)),f329(f105(a1),x33821))
% 192.21/192.21 [3383]E(f329(f107(a1),f329(f105(a1),x33831)),f329(f105(a1),x33831))
% 192.21/192.21 [3387]E(f329(f36(x33871),f191(f917(x33871,a904))),f2(a909))
% 192.21/192.21 [3389]E(f329(f329(f37(a909),x33891),f329(a117,f2(a909))),x33891)
% 192.21/192.21 [3398]E(f46(a909,x33981,f329(a117,f2(a909))),f2(a909))
% 192.21/192.21 [3399]E(f46(a1,x33991,f329(f108(a1),a102)),f2(a1))
% 192.21/192.21 [3414]E(f329(f329(f37(a1),x34141),f329(f108(a1),a102)),f329(f81(a1),x34141))
% 192.21/192.21 [3418]E(f142(a909,f329(f304(a909,x34181),f2(a909))),f118(a909))
% 192.21/192.21 [3419]E(f329(f329(f23(a1),x34191),f80(a1)),f329(f329(f82(a1),x34191),a102))
% 192.21/192.21 [3420]E(f329(f329(f82(a1),x34201),f80(a1)),f329(f329(f23(a1),x34201),a102))
% 192.21/192.21 [3425]P1(f329(f329(f197(a25),x34251),x34251))
% 192.21/192.21 [3426]P1(f329(f329(f239(a909),x34261),x34261))
% 192.21/192.21 [3427]P1(f329(f329(f239(a1),x34271),x34271))
% 192.21/192.21 [3432]E(f329(f81(a1),f329(f108(a1),x34321)),f329(f108(a1),f329(f81(a1),x34321)))
% 192.21/192.21 [3433]P1(f329(f62(a909),f329(f285(a909),x34331)))
% 192.21/192.21 [3434]P1(f329(f62(a909),f329(f303(a909),x34341)))
% 192.21/192.21 [3441]E(f164(x34411,f247(f917(x34411,a904))),f247(f917(f910(x34411),a904)))
% 192.21/192.21 [3446]P1(f329(f329(f239(a909),f2(a909)),x34461))
% 192.21/192.21 [3456]E(f329(f329(f82(a909),f116(x34561)),f329(a117,f2(a909))),f116(f329(a117,x34561)))
% 192.21/192.21 [3457]E(f329(f267(x34571),f329(f16(a904,x34571),a244)),f191(f917(x34571,a904)))
% 192.21/192.21 [3458]E(f329(f267(x34581),f329(f16(a904,x34581),a190)),f247(f917(x34581,a904)))
% 192.21/192.21 [3462]E(f329(f329(f311(a909),x34621),f329(f285(a909),x34621)),f329(f285(a909),f329(a117,x34621)))
% 192.21/192.21 [3474]E(f329(f329(f82(a1),f80(a1)),f329(f105(a1),x34741)),f329(f105(a1),f329(a117,x34741)))
% 192.21/192.21 [3476]E(f329(f329(f154(f910(x34761)),f118(x34761)),f118(f910(x34761))),f55(x34761,f118(x34761)))
% 192.21/192.21 [3496]E(f191(f917(f916(x34961,x34961),a904)),f268(x34961,f191(f917(x34961,a904))))
% 192.21/192.21 [3497]E(f329(f310(x34971),f247(f917(x34971,a904))),f247(f917(f917(x34971,a904),a904)))
% 192.21/192.21 [3498]E(f329(f81(f917(x34981,a904)),f191(f917(x34981,a904))),f247(f917(x34981,a904)))
% 192.21/192.21 [3499]E(f329(f81(f917(x34991,a904)),f247(f917(x34991,a904))),f191(f917(x34991,a904)))
% 192.21/192.21 [3501]P1(f329(f62(x35011),f191(f917(x35011,a904))))
% 192.21/192.21 [3503]E(f329(f304(a909,x35031),f329(a117,x35031)),f329(f329(f311(a909),x35031),f191(f917(a909,a904))))
% 192.21/192.21 [3504]E(f87(f916(a909,a909),f49(x35041,f2(a909))),f329(f329(f257(a909,a909),f2(a909)),x35041))
% 192.21/192.21 [3517]E(f329(f329(f311(a909),f329(a117,x35171)),f329(f303(a909),x35171)),f329(f303(a909),f329(a117,x35171)))
% 192.21/192.21 [3521]P44(x35211,f191(f917(f916(x35211,x35211),a904)))
% 192.21/192.21 [3522]P46(x35221,f191(f917(f916(x35221,x35221),a904)))
% 192.21/192.21 [3525]P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x35251)))
% 192.21/192.21 [3532]E(f329(f329(f82(a909),f329(f192(a909),x35321)),f329(a117,f2(a909))),f329(f192(a909),f329(a117,x35321)))
% 192.21/192.21 [3635]P48(f329(f312(a909,a1,f105(a1)),x36351))
% 192.21/192.21 [3674]P61(x36741,f191(f917(x36741,a904)),f191(f917(f916(x36741,x36741),a904)))
% 192.21/192.21 [3694]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f23(a1),x36941),f80(a1))),f51(f329(f108(a1),a102),x36941))
% 192.21/192.21 [3747]P68(x37471,f329(f16(f917(x37471,a904),x37471),f329(f16(a904,x37471),a244)))
% 192.21/192.21 [3951]P1(f329(f329(f331(f917(f916(a909,a909),a904)),f330(x39511)),a103))
% 192.21/192.21 [3976]P1(f329(f329(f331(f917(f916(a909,a909),a904)),f329(a112,x39761)),a103))
% 192.21/192.21 [4107]P31(x41071,f917(x41071,a904),f329(f329(f7(x41071,f917(x41071,a904),f917(x41071,a904)),f311(x41071)),f191(f917(x41071,a904))),f247(f917(x41071,a904)))
% 192.21/192.21 [4600]~E(f329(f329(f82(a1),x46001),x46001),a102)
% 192.21/192.21 [4629]~E(f329(a3,f329(a117,f329(a20,x46291))),f2(a104))
% 192.21/192.21 [4635]~P1(f329(a196,f329(f105(a1),x46351)))
% 192.21/192.21 [4638]~P1(f329(f329(f240(a909),x46381),x46381))
% 192.21/192.21 [4648]~P1(f329(f329(f239(a909),f329(a117,x46481)),x46481))
% 192.21/192.21 [3448]E(f329(a109,f329(f81(a1),f329(f105(a1),x34481))),f2(a909))
% 192.21/192.21 [3451]E(f329(f329(f82(a1),f329(f81(a1),x34511)),x34511),f2(a1))
% 192.21/192.21 [3455]E(f329(f36(a1),f329(f304(a1,f2(a1)),x34551)),f329(a109,x34551))
% 192.21/192.21 [3467]E(f329(f329(f249(a909),f329(a117,f2(a909))),x34671),f329(a117,f2(a909)))
% 192.21/192.21 [3564]E(f329(f284(x35641),f191(f917(f916(x35641,x35641),a904))),f191(f917(x35641,a904)))
% 192.21/192.21 [3572]E(f39(f917(x35721,a904),f191(f917(f917(x35721,a904),a904))),f247(f917(x35721,a904)))
% 192.21/192.21 [3573]E(f39(f917(x35731,a904),f247(f917(f917(x35731,a904),a904))),f191(f917(x35731,a904)))
% 192.21/192.21 [3574]E(f38(f917(x35741,a904),f191(f917(f917(x35741,a904),a904))),f191(f917(x35741,a904)))
% 192.21/192.21 [3575]E(f38(f917(x35751,a904),f247(f917(f917(x35751,a904),a904))),f247(f917(x35751,a904)))
% 192.21/192.21 [3618]E(f329(f329(f311(f910(x36181)),f118(x36181)),f191(f917(f910(x36181),a904))),f164(x36181,f191(f917(x36181,a904))))
% 192.21/192.21 [3619]E(f329(f329(f311(f910(x36191)),f118(x36191)),f191(f917(f910(x36191),a904))),f165(x36191,f118(f917(x36191,a904))))
% 192.21/192.21 [3659]E(f329(f329(f82(a909),f4(x36591)),f329(a117,f2(a909))),f4(f329(a3,f329(a117,f329(a20,x36591)))))
% 192.21/192.21 [3685]E(f329(f36(a1),f329(f312(a909,a1,f105(a1)),x36851)),f329(f36(a909),x36851))
% 192.21/192.21 [3688]P1(f329(f329(f239(a909),x36881),f329(f329(f83(a909),x36881),x36881)))
% 192.21/192.21 [3725]E(f329(f312(a1,a909,a109),f305(a1,f2(a1),f329(f105(a1),x37251))),f329(f303(a909),x37251))
% 192.21/192.21 [3742]E(f329(f329(f37(a909),f329(a117,f2(a909))),f329(f108(a909),x37421)),f329(a109,f329(f329(f37(a1),f80(a1)),f329(f108(a1),x37421))))
% 192.21/192.21 [3744]E(f329(f175(a909),f142(a909,f329(f304(a909,f2(a909)),f329(a117,x37441)))),f329(f303(a909),x37441))
% 192.21/192.21 [3745]E(f329(f329(f82(a909),f329(f192(a104),x37451)),f329(a117,f2(a909))),f329(f192(a104),f329(a3,f329(a117,f329(a20,x37451)))))
% 192.21/192.21 [3764]P46(x37641,f309(x37641,f191(f917(f916(x37641,x37641),a904))))
% 192.21/192.21 [3765]P60(x37651,f309(x37651,f191(f917(f916(x37651,x37651),a904))))
% 192.21/192.21 [3766]E(f329(f312(a1,a909,a109),f329(f312(a909,a1,f105(a1)),x37661)),x37661)
% 192.21/192.21 [3797]E(f329(f329(f311(a909),f2(a909)),f329(f312(a909,a909,a117),f329(f285(a909),x37971))),f329(f285(a909),f329(a117,x37971)))
% 192.21/192.21 [3804]P63(x38041,x38041,f309(x38041,f191(f917(f916(x38041,x38041),a904))))
% 192.21/192.21 [3810]P1(f329(a196,f329(f81(a1),f329(f105(a1),f329(a117,x38101)))))
% 192.21/192.21 [3820]E(f329(f329(f23(f917(a909,a904)),f329(f286(a909),x38201)),f329(f329(f311(a909),x38201),f191(f917(a909,a904)))),f329(f286(a909),f329(a117,x38201)))
% 192.21/192.21 [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)))
% 192.21/192.21 [3852]E(f329(f329(f311(f917(x38521,a904)),f191(f917(x38521,a904))),f191(f917(f917(x38521,a904),a904))),f329(f310(x38521),f191(f917(x38521,a904))))
% 192.21/192.21 [3879]E(f329(f329(f23(f917(a909,a904)),f329(f306(a909),x38791)),f329(f329(f311(a909),f329(a117,x38791)),f191(f917(a909,a904)))),f329(f306(a909),f329(a117,x38791)))
% 192.21/192.21 [3988]E(f329(f108(a909),f329(f329(f82(a1),x39881),x39881)),f329(f329(f88(a909,a909),f329(f108(a909),x39881)),f329(f329(f18(a909,a909,a909),f82(a909)),f5(a909))))
% 192.21/192.21 [4361]P20(x43611,f917(x43611,a904),f329(f329(f8(f917(x43611,a904),f917(f917(x43611,a904),f917(x43611,a904)),x43611),f329(f7(f917(x43611,a904),f917(x43611,a904),f917(x43611,a904)),f23(f917(x43611,a904)))),f329(f329(f7(x43611,f917(x43611,a904),f917(x43611,a904)),f311(x43611)),f191(f917(x43611,a904)))))
% 192.21/192.21 [4448]E(f329(f267(f916(a1,a1)),f329(f262(a1,a1,a904),f329(f329(f8(f917(a1,a904),f917(a1,a904),a1),f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),x44481)))),f240(a1)))),f110(x44481))
% 192.21/192.21 [4481]E(f329(f267(f916(a1,a1)),f329(f262(a1,a1,a904),f329(f329(f18(a1,f917(a1,a904),f917(a1,a904)),f329(f329(f8(f917(a904,a904),f917(f917(a1,a904),f917(a1,a904)),a1),f8(a904,a904,a1)),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),x44811)))),f240(a1)))),f111(x44811))
% 192.21/192.21 [4534]E(f329(f267(f916(f917(x45341,a904),f917(x45341,a904))),f329(f262(f917(x45341,a904),f917(x45341,a904),a904),f329(f329(f7(f917(x45341,a904),f917(f917(x45341,a904),a904),f917(f917(x45341,a904),a904)),f329(f329(f8(f917(f917(x45341,a904),f917(a904,a904)),f917(f917(f917(x45341,a904),a904),f917(f917(x45341,a904),a904)),f917(x45341,a904)),f18(f917(x45341,a904),a904,a904)),f329(f329(f8(f917(f917(x45341,a904),a904),f917(f917(x45341,a904),f917(a904,a904)),f917(x45341,a904)),f329(f8(a904,f917(a904,a904),f917(x45341,a904)),a327)),f240(f917(x45341,a904))))),f62(x45341)))),f316(x45341))
% 192.21/192.21 [4652]~P1(f329(f62(f910(x46521)),f247(f917(f910(x46521),a904))))
% 192.21/192.21 [4664]~P1(f329(f329(f239(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x46641)))))
% 192.21/192.21 [3597]E(f329(f329(f23(a1),f329(f329(f82(a1),x35971),a102)),a102),x35971)
% 192.21/192.21 [3611]E(f329(f175(a909),f142(a909,f329(f304(a909,f2(a909)),x36111))),f329(f285(a909),x36111))
% 192.21/192.21 [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))
% 192.21/192.21 [3906]E(f329(f289(x39061,x39061),f309(x39061,f191(f917(f916(x39061,x39061),a904)))),f309(x39061,f191(f917(f916(x39061,x39061),a904))))
% 192.21/192.21 [3954]P1(f329(f329(f239(a909),x39541),f329(f329(f83(a909),x39541),f329(f329(f83(a909),x39541),x39541))))
% 192.21/192.21 [4224]P1(f329(f62(a909),f329(f267(a909),f329(f329(f7(a909,a909,a904),f240(a909)),x42241))))
% 192.21/192.21 [4225]P1(f329(f62(a909),f329(f267(a909),f329(f329(f7(a909,a909,a904),f239(a909)),x42251))))
% 192.21/192.21 [4497]E(f329(f267(f916(x44971,x44971)),f329(f329(f8(f917(x44971,a904),a904,f916(x44971,x44971)),f89(x44971)),f329(f329(f7(f916(x44971,x44971),f917(x44971,f916(x44971,x44971)),f917(x44971,a904)),f329(f329(f8(f917(f916(x44971,x44971),a904),f917(f917(x44971,f916(x44971,x44971)),f917(x44971,a904)),f916(x44971,x44971)),f8(f916(x44971,x44971),a904,x44971)),a326)),f329(f329(f18(x44971,x44971,f916(x44971,x44971)),f257(x44971,x44971)),f5(x44971))))),f309(x44971,f191(f917(f916(x44971,x44971),a904))))
% 192.21/192.21 [4654]~E(f329(f329(f23(a1),f329(f329(f82(a1),x46541),x46541)),a102),a85)
% 192.21/192.21 [4656]~E(f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x46561)),x46561),f2(a1))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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))
% 192.21/192.21 [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)))
% 192.21/192.21 [4282]E(f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x42821),f2(a909))),f191(f917(f916(a909,a909),a904))))),f329(f105(a1),x42821))
% 192.21/192.21 [4292]E(f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),f334(x42921)),f504(x42921))),f191(f917(f916(a909,a909),a904))))),x42921)
% 192.21/192.21 [4325]E(f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x43251)),f329(f312(a909,a1,f105(a1)),f329(f267(a909),f329(f329(f8(a1,a904,a909),x43251),f105(a1)))))
% 192.21/192.21 [4369]P48(f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x43691)))
% 192.21/192.21 [4389]P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x43891),f191(f917(f916(a909,a909),a904)))),a73))
% 192.21/192.21 [4394]E(f329(f312(a1,a909,a109),f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),f329(f329(f8(a909,a904,a1),x43941),a109)))),f329(f267(a909),x43941))
% 192.21/192.21 [4549]E(f314(a909,f329(f329(f40(f916(a909,a909),f917(a909,a904)),f329(a112,x45491)),f329(f262(a909,a909,f917(a909,a904)),f329(f329(f7(a909,f917(a909,a904),f917(a909,f917(a909,a904))),f329(f329(f8(f917(a909,f917(f917(a909,a904),f917(a909,a904))),f917(f917(a909,a904),f917(a909,f917(a909,a904))),a909),f7(a909,f917(a909,a904),f917(a909,a904))),f329(f329(f8(f917(a909,a909),f917(a909,f917(f917(a909,a904),f917(a909,a904))),a909),f329(f8(a909,f917(f917(a909,a904),f917(a909,a904)),a909),f311(a909))),f23(a909)))),f191(f917(a909,a904)))))),f329(a109,x45491))
% 192.21/192.21 [4043]E(f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),x40431),x40431)),a102)),a102),f329(f329(f82(a1),x40431),x40431))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [4342]E(f329(f329(f82(a909),x43421),f329(f108(a909),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)))
% 192.21/192.21 [4343]E(f329(f329(f83(a909),x43431),f329(f108(a909),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(a909),x43431),x43431))
% 192.21/192.21 [4344]E(f329(f329(f37(a909),f329(f329(f82(a909),x43441),x43441)),f329(f108(a909),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)
% 192.21/192.21 [4422]E(f46(a909,f329(a117,f329(a117,x44221)),f329(f108(a909),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(a909,x44221,f329(f108(a909),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)))))
% 192.21/192.21 [4564]E(f329(a91,f329(f329(f40(f916(a909,a909),f917(f916(a909,a909),a904)),f329(a112,x45641)),f329(f262(a909,a909,f917(f916(a909,a909),a904)),f329(f329(f8(f917(a909,f917(f916(a909,a909),a904)),f917(a909,f917(f916(a909,a909),a904)),a909),f329(f8(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904),a909),f288(f916(a909,a909),f916(a909,a909),a113))),f329(f329(f7(a909,f917(f916(a909,a909),a904),f917(a909,f917(f916(a909,a909),a904))),f329(f329(f8(f917(a909,f917(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f917(f917(f916(a909,a909),a904),f917(a909,f917(f916(a909,a909),a904))),a909),f7(a909,f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f8(f917(a909,f916(a909,a909)),f917(a909,f917(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),a909),f329(f8(f916(a909,a909),f917(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),a909),f311(f916(a909,a909)))),f329(f7(a909,a909,f916(a909,a909)),f257(a909,a909))))),f191(f917(f916(a909,a909),a904))))))),f329(f81(a1),x45641))
% 192.21/192.21 [4417]E(f329(f329(f82(a909),f329(f108(a909),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)))
% 192.21/192.21 [4418]E(f329(f329(f83(a909),f329(f108(a909),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(a909),x44181),x44181))
% 192.21/192.21 [4454]E(f329(f329(f37(a909),f329(a117,f329(a117,x44541))),f329(f108(a909),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(a909),x44541),f329(f108(a909),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))))))
% 192.21/192.21 [4504]E(f329(f329(f82(a909),f329(f108(a909),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))))
% 192.21/192.21 [4571]E(f329(f262(a1,a1,f916(a1,a1)),f329(f329(f18(a1,f917(a1,f916(a1,a1)),f917(a1,f916(a1,a1))),f329(f329(f8(f917(a1,f917(f916(a1,a1),f916(a1,a1))),f917(f917(a1,f916(a1,a1)),f917(a1,f916(a1,a1))),a1),f18(a1,f916(a1,a1),f916(a1,a1))),f329(f329(f8(f917(a1,f916(a1,a1)),f917(a1,f917(f916(a1,a1),f916(a1,a1))),a1),f329(f18(a1,f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),f329(f329(f8(a904,f917(f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),a1),f99(f916(a1,a1))),f329(f329(f8(a1,a904,a1),f329(f239(a1),f2(a1))),f329(f329(f7(a1,a1,a1),f23(a1)),x45711))))),f329(f329(f7(a1,f917(a1,a1),f917(a1,f916(a1,a1))),f329(f329(f8(f917(a1,f916(a1,a1)),f917(f917(a1,a1),f917(a1,f916(a1,a1))),a1),f8(a1,f916(a1,a1),a1)),f329(f329(f8(a1,f917(a1,f916(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f917(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,f917(a1,f916(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))
% 192.21/192.21 [3638]P49(a25,x36381,x36382,x36381)
% 192.21/192.21 [3272]P108(f915(x32721,x32722))
% 192.21/192.21 [3273]P108(f916(x32731,x32732))
% 192.21/192.21 [3274]P108(f914(x32741,x32742))
% 192.21/192.21 [3290]P19(a1,f181(x32901,x32902))
% 192.21/192.21 [3291]P44(x32911,f156(x32911,x32912))
% 192.21/192.21 [3292]P45(x32921,f268(x32921,x32922))
% 192.21/192.21 [3293]P45(x32931,f309(x32931,x32932))
% 192.21/192.21 [3294]P46(x32941,f268(x32941,x32942))
% 192.21/192.21 [3295]P60(x32951,f268(x32951,x32952))
% 192.21/192.21 [3360]P38(x33601,x33602,f118(x33601))
% 192.21/192.21 [3393]P61(x33931,x33932,f268(x33931,x33932))
% 192.21/192.21 [3394]P63(x33941,x33941,f268(x33941,x33942))
% 192.21/192.21 [3662]P31(x36621,x36621,f5(x36621),x36622)
% 192.21/192.21 [3663]P31(x36631,x36631,f33(x36631),x36632)
% 192.21/192.21 [3670]P39(x36701,x36702,f118(x36701),f118(x36701))
% 192.21/192.21 [3679]P31(f910(x36791),f910(x36791),f171(x36791),x36792)
% 192.21/192.21 [4083]P32(x40831,x40831,f33(x40831),x40832,x40832)
% 192.21/192.21 [4582]~E(f32(x45821,x45822),a25)
% 192.21/192.21 [4583]~E(f31(x45831,x45832),a25)
% 192.21/192.21 [4612]~P40(x46121,x46122,f118(x46121))
% 192.21/192.21 [4613]~P42(x46131,x46132,f118(x46131))
% 192.21/192.21 [3257]E(f329(f5(x32571),x32572),x32572)
% 192.21/192.21 [3258]E(f329(f267(x32581),x32582),x32582)
% 192.21/192.21 [3260]E(f329(f33(x32601),x32602),x32602)
% 192.21/192.21 [3270]E(f329(f194(x32701),x32702),f120(x32701))
% 192.21/192.21 [3288]E(f87(x32881,f329(a326,x32882)),x32882)
% 192.21/192.21 [3289]E(f92(x32891,f329(a326,x32892)),x32892)
% 192.21/192.21 [3312]E(f329(f129(x33121,x33122),f124(x33121)),f2(a909))
% 192.21/192.21 [3316]E(f329(f139(x33161,x33162),f118(x33161)),f118(x33161))
% 192.21/192.21 [3336]E(f309(x33361,f309(x33361,x33362)),f309(x33361,x33362))
% 192.21/192.21 [3337]E(f155(x33371,f155(x33371,x33372)),f155(x33371,x33372))
% 192.21/192.21 [3355]E(f329(f329(f137(x33551),x33552),f118(x33551)),x33552)
% 192.21/192.21 [3361]E(f176(x33611,x33612,f118(x33611)),x33612)
% 192.21/192.21 [3362]E(f121(x33621,f124(x33621),x33622),x33622)
% 192.21/192.21 [3363]E(f176(x33631,f118(x33631),x33632),x33632)
% 192.21/192.21 [3364]E(f172(x33641,f2(a909),x33642),f118(x33641))
% 192.21/192.21 [3370]E(f329(f329(f178(x33701),x33702),f118(x33701)),f118(x33701))
% 192.21/192.21 [3371]E(f329(f329(f141(x33711),x33712),f118(x33711)),f118(x33711))
% 192.21/192.21 [3373]E(f158(x33731,x33732,f118(x33731)),f2(a909))
% 192.21/192.21 [3375]E(f173(x33751,x33752,f118(x33751)),f118(x33751))
% 192.21/192.21 [3376]E(f180(x33761,x33762,f118(x33761)),f118(x33761))
% 192.21/192.21 [3377]E(f179(x33771,f118(x33771),x33772),f118(x33771))
% 192.21/192.21 [3381]E(f329(f175(x33811),f155(x33811,x33812)),f329(f175(x33811),x33812))
% 192.21/192.21 [3384]E(f329(f287(x33841,x33841),f268(x33841,x33842)),x33842)
% 192.21/192.21 [3385]E(f329(f269(x33851,x33851),f268(x33851,x33852)),x33852)
% 192.21/192.21 [3392]E(f329(f289(x33921,x33921),f268(x33921,x33922)),f268(x33921,x33922))
% 192.21/192.21 [3406]E(f309(f910(x34061),f160(x34061,x34062)),f161(x34061,f309(x34061,x34062)))
% 192.21/192.21 [3408]P1(f329(f140(a1),f181(x34081,x34082)))
% 192.21/192.21 [3416]E(f329(f287(x34161,x34161),f309(x34161,x34162)),f247(f917(x34161,a904)))
% 192.21/192.21 [3417]E(f329(f269(x34171,x34171),f309(x34171,x34172)),f247(f917(x34171,a904)))
% 192.21/192.21 [3421]P1(f329(f140(x34211),f155(x34211,x34212)))
% 192.21/192.21 [3423]P1(f329(f163(x34231,x34232),f118(x34231)))
% 192.21/192.21 [3430]E(f329(f175(a1),f181(x34301,x34302)),f305(a1,x34301,x34302))
% 192.21/192.21 [3444]P64(x34441,f191(f917(x34441,a904)),x34442)
% 192.21/192.21 [3449]E(f329(f261(a1,a1),f47(x34491,x34492)),f46(a1,x34491,x34492))
% 192.21/192.21 [3450]E(f329(f304(a909,x34501),f329(a117,x34502)),f305(a909,x34501,x34502))
% 192.21/192.21 [3466]E(f329(f329(f154(x34661),x34662),f118(x34661)),f143(x34661,x34662,f118(x34661)))
% 192.21/192.21 [3478]E(f305(a909,f329(a117,x34781),x34782),f307(a909,x34781,x34782))
% 192.21/192.21 [3481]P61(x34811,f247(f917(x34811,a904)),f309(x34811,x34812))
% 192.21/192.21 [3544]E(f329(f329(f23(a909),x35441),f329(a117,x35442)),f329(f36(a909),f308(a909,x35442,x35441)))
% 192.21/192.21 [3598]E(f169(x35981,x35982,f118(x35981)),f329(f329(f257(f910(x35981),f910(x35981)),f118(x35981)),f118(x35981)))
% 192.21/192.21 [3616]E(f329(f262(x36161,x36162,f916(x36161,x36162)),f257(x36161,x36162)),f33(f916(x36161,x36162)))
% 192.21/192.21 [3620]P1(f329(f329(f331(f910(x36201)),f118(x36201)),f164(x36201,x36202)))
% 192.21/192.21 [3621]E(f329(f192(f910(x36211)),f119(x36211,x36212)),f329(f329(f23(a909),f329(f192(f910(x36211)),x36212)),f80(a909)))
% 192.21/192.21 [3629]P1(f329(f62(a909),f308(a909,x36291,x36292)))
% 192.21/192.21 [3630]P1(f329(f62(a909),f307(a909,x36301,x36302)))
% 192.21/192.21 [3631]P1(f329(f62(a909),f305(a909,x36311,x36312)))
% 192.21/192.21 [3632]P1(f329(f62(a1),f308(a1,x36321,x36322)))
% 192.21/192.21 [3633]P1(f329(f62(a1),f307(a1,x36331,x36332)))
% 192.21/192.21 [3634]P1(f329(f62(a1),f305(a1,x36341,x36342)))
% 192.21/192.21 [3741]E(f329(f312(a909,a909,a117),f305(a909,x37411,x37412)),f305(a909,f329(a117,x37411),f329(a117,x37412)))
% 192.21/192.21 [3760]E(f329(f329(f291(x37601,x37601,x37601),f309(x37601,x37602)),f309(x37601,x37602)),f309(x37601,x37602))
% 192.21/192.21 [3795]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x37951),x37952)),f46(a1,x37951,x37952)),f47(x37951,x37952))
% 192.21/192.21 [3796]E(f329(f329(f257(a104,a104),f329(f329(f37(a104),x37961),x37962)),f46(a104,x37961,x37962)),f21(x37961,x37962))
% 192.21/192.21 [3824]E(f329(f329(f257(a909,a909),f329(f329(f37(a909),x38241),x38242)),f46(a909,x38241,x38242)),f87(f916(a909,a909),f49(x38241,x38242)))
% 192.21/192.21 [3875]P1(f329(f329(f240(a909),f329(f329(f23(a909),x38751),x38752)),f329(a117,x38751)))
% 192.21/192.21 [3925]P45(x39251,f329(f329(f291(x39251,x39251,x39251),x39252),f309(x39251,x39252)))
% 192.21/192.21 [3975]E(f329(f329(f82(a1),f329(f329(f83(a1),x39751),f329(f329(f37(a1),x39752),x39751))),f46(a1,x39752,x39751)),x39752)
% 192.21/192.21 [3979]E(f329(f329(f40(a909,f917(f916(f910(x39791),f910(x39791)),a904)),f247(f917(a909,a904))),f146(x39791,x39792)),f148(x39791,x39792))
% 192.21/192.21 [4201]P1(f329(f329(f331(f916(f910(x42011),f910(x42011))),f329(f329(f257(f910(x42011),f910(x42011)),f118(x42011)),f118(x42011))),f161(x42011,x42012)))
% 192.21/192.21 [4310]E(f258(x43101,x43101,x43101,a326,f258(x43101,x43101,x43101,x43102,a326)),x43102)
% 192.21/192.21 [4354]E(f263(x43541,x43541,x43542,x43542,f5(x43541),f5(x43542)),f33(f916(x43541,x43542)))
% 192.21/192.21 [4356]E(f263(x43561,x43561,x43562,x43562,f33(x43561),f33(x43562)),f33(f916(x43561,x43562)))
% 192.21/192.21 [3354]E(f329(f171(x33541),f329(f171(x33541),x33542)),x33542)
% 192.21/192.21 [3356]E(f329(f329(f141(x33561),f2(a909)),x33562),x33562)
% 192.21/192.21 [3372]E(f329(f329(f178(x33721),f2(a909)),x33722),f118(x33721))
% 192.21/192.21 [3379]E(f329(f329(f137(x33791),f118(x33791)),x33792),x33792)
% 192.21/192.21 [3388]E(f38(f917(x33881,a904),f329(f310(x33881),x33882)),x33882)
% 192.21/192.21 [3390]E(f329(f175(x33901),f329(f170(x33901),x33902)),f329(f175(x33901),x33902))
% 192.21/192.21 [3391]E(f329(f175(x33911),f329(f171(x33911),x33912)),f329(f175(x33911),x33912))
% 192.21/192.21 [3396]E(f329(f329(f23(a104),x33961),x33962),f329(f329(a24,x33961),x33962))
% 192.21/192.21 [3410]E(f329(f329(f82(a909),x34101),x34102),f329(f329(f82(a909),x34102),x34101))
% 192.21/192.21 [3411]E(f329(f329(f82(a1),x34111),x34112),f329(f329(f82(a1),x34112),x34111))
% 192.21/192.21 [3412]E(f329(f329(f83(a909),x34121),x34122),f329(f329(f83(a909),x34122),x34121))
% 192.21/192.21 [3413]E(f329(f329(f83(a1),x34131),x34132),f329(f329(f83(a1),x34132),x34131))
% 192.21/192.21 [3436]E(f329(f329(f186(x34361,x34361),f2(a909)),x34362),f33(x34361))
% 192.21/192.21 [3437]E(f329(f192(f910(x34371)),f329(f170(x34371),x34372)),f329(f192(f910(x34371)),x34372))
% 192.21/192.21 [3438]E(f329(f192(f910(x34381)),f329(f171(x34381),x34382)),f329(f192(f910(x34381)),x34382))
% 192.21/192.21 [3439]E(f179(x34391,x34392,f191(f917(a909,a904))),f118(x34391))
% 192.21/192.21 [3440]E(f329(f329(f157(x34401,x34401),f5(x34401)),x34402),x34402)
% 192.21/192.21 [3442]E(f329(f256(a1,a1),f47(x34421,x34422)),f329(f329(f37(a1),x34421),x34422))
% 192.21/192.21 [3459]E(f329(f192(f910(x34591)),f155(x34591,x34592)),f329(f36(x34591),f329(f175(x34591),x34592)))
% 192.21/192.21 [3460]E(f30(f31(x34601,x34602)),f329(f329(f82(a909),f30(x34602)),f329(a117,f2(a909))))
% 192.21/192.21 [3461]E(f329(f284(x34611),f329(f289(x34611,x34611),x34612)),f329(f284(x34611),x34612))
% 192.21/192.21 [3465]P1(f329(f62(x34651),f329(f175(x34651),x34652)))
% 192.21/192.21 [3473]E(f329(f329(f82(a1),x34731),f329(f81(a1),x34732)),f329(f329(f23(a1),x34731),x34732))
% 192.21/192.21 [3480]P30(x34801,x34802,f191(f917(f908(x34801),a904)))
% 192.21/192.21 [3482]E(f329(f312(x34821,x34821,f5(x34821)),x34822),x34822)
% 192.21/192.21 [3483]E(f329(f312(x34831,x34831,f33(x34831)),x34832),x34832)
% 192.21/192.21 [3484]E(f329(f313(x34841,x34841,f5(x34841)),x34842),x34842)
% 192.21/192.21 [3485]E(f329(f313(x34851,x34851,f33(x34851)),x34852),x34852)
% 192.21/192.21 [3486]P1(f329(f247(f917(x34861,a904)),x34862))
% 192.21/192.21 [3488]E(f329(f36(a909),f329(f304(a909,x34881),x34882)),f329(f329(f23(a909),x34882),x34881))
% 192.21/192.21 [3489]E(f329(f304(a909,f329(a117,x34891)),x34892),f308(a909,x34891,x34892))
% 192.21/192.21 [3502]E(f329(f329(f311(x35021),x35022),f191(f917(x35021,a904))),f329(f267(x35021),f329(a326,x35022)))
% 192.21/192.21 [3507]E(f309(x35071,f329(f289(x35071,x35071),x35072)),f329(f289(x35071,x35071),f309(x35071,x35072)))
% 192.21/192.21 [3512]E(f329(f329(f82(a909),f329(a117,x35121)),x35122),f329(f329(f82(a909),x35121),f329(a117,x35122)))
% 192.21/192.21 [3513]E(f329(f329(f23(a909),f329(a117,x35131)),f329(a117,x35132)),f329(f329(f23(a909),x35131),x35132))
% 192.21/192.21 [3519]E(f56(x35191,f2(a909),x35192),f329(f329(f154(f910(x35191)),f118(x35191)),f118(f910(x35191))))
% 192.21/192.21 [3520]E(f329(f36(a909),f307(a909,x35201,x35202)),f329(f329(f23(a909),x35202),x35201))
% 192.21/192.21 [3529]P44(x35291,f329(f329(f290(a909,x35291),a245),x35292))
% 192.21/192.21 [3531]P19(a909,f142(a909,f329(f304(a909,x35311),x35312)))
% 192.21/192.21 [3533]P1(f329(f62(a909),f329(f304(a909,x35331),x35332)))
% 192.21/192.21 [3534]P1(f329(f62(a1),f329(f304(a1,x35341),x35342)))
% 192.21/192.21 [3537]E(f329(f289(f910(x35371),f910(x35371)),f160(x35371,x35372)),f160(x35371,f329(f289(x35371,x35371),x35372)))
% 192.21/192.21 [3538]E(f329(f192(a905),f31(x35381,x35382)),f329(f329(f82(a909),f329(f192(a905),x35382)),f329(a117,f2(a909))))
% 192.21/192.21 [3540]E(f329(f304(a1,x35401),f329(f329(f82(a1),x35402),f80(a1))),f305(a1,x35401,x35402))
% 192.21/192.21 [3543]E(f329(f329(f37(a1),f329(f81(a1),x35431)),f329(f81(a1),x35432)),f329(f329(f37(a1),x35431),x35432))
% 192.21/192.21 [3551]E(f329(f329(f186(f916(x35511,x35511),a904),f80(a909)),x35512),x35512)
% 192.21/192.21 [3553]E(f329(f329(f115(f917(x35531,a904)),x35532),f191(f917(x35531,a904))),x35532)
% 192.21/192.21 [3554]E(f329(f329(f23(f917(x35541,a904)),x35542),f191(f917(x35541,a904))),x35542)
% 192.21/192.21 [3555]E(f329(f329(f106(f917(x35551,a904)),x35552),f247(f917(x35551,a904))),x35552)
% 192.21/192.21 [3556]E(f329(f256(a909,a909),f87(f916(a909,a909),f49(x35561,x35562))),f329(f329(f37(a909),x35561),x35562))
% 192.21/192.21 [3563]E(f305(a1,f329(f329(f82(a1),x35631),f80(a1)),x35632),f307(a1,x35631,x35632))
% 192.21/192.21 [3568]E(f329(f261(a909,a909),f87(f916(a909,a909),f49(x35681,x35682))),f46(a909,x35681,x35682))
% 192.21/192.21 [3578]P1(f329(f329(f331(x35781),x35782),f247(f917(x35781,a904))))
% 192.21/192.21 [3582]E(f329(f329(f23(a909),f329(a117,x35821)),x35822),f329(f36(a909),f305(a909,x35822,x35821)))
% 192.21/192.21 [3607]E(f329(f329(f115(f917(x36071,a904)),x36072),f247(f917(x36071,a904))),f247(f917(x36071,a904)))
% 192.21/192.21 [3608]E(f329(f329(f23(f917(x36081,a904)),x36082),f247(f917(x36081,a904))),f191(f917(x36081,a904)))
% 192.21/192.21 [3609]E(f329(f329(f106(f917(x36091,a904)),x36092),f191(f917(x36091,a904))),f191(f917(x36091,a904)))
% 192.21/192.21 [3624]E(f46(a1,f329(f105(a1),x36241),f329(f105(a1),x36242)),f329(f105(a1),f46(a909,x36241,x36242)))
% 192.21/192.21 [3625]E(f46(a1,f329(f81(a1),x36251),f329(f81(a1),x36252)),f329(f81(a1),f46(a1,x36251,x36252)))
% 192.21/192.21 [3636]E(f329(f192(f910(x36361)),f329(f174(x36361),x36362)),f329(f329(f23(a909),f329(f192(f910(x36361)),x36362)),f80(a909)))
% 192.21/192.21 [3664]E(f329(f329(f37(a1),f46(a1,x36641,x36642)),x36642),f2(a1))
% 192.21/192.21 [3672]E(f329(a3,f46(a909,f329(a20,x36721),f329(a20,x36722))),f46(a104,x36721,x36722))
% 192.21/192.21 [3707]E(f329(a3,f329(f329(f82(a909),f329(a20,x37071)),f329(a20,x37072))),f329(f329(f82(a104),x37071),x37072))
% 192.21/192.21 [3708]E(f329(a3,f329(f329(f23(a909),f329(a20,x37081)),f329(a20,x37082))),f329(f329(f23(a104),x37081),x37082))
% 192.21/192.21 [3709]E(f329(a3,f329(f329(f83(a909),f329(a20,x37091)),f329(a20,x37092))),f329(f329(f83(a104),x37091),x37092))
% 192.21/192.21 [3710]E(f329(a3,f329(f329(f37(a909),f329(a20,x37101)),f329(a20,x37102))),f329(f329(f37(a104),x37101),x37102))
% 192.21/192.21 [3719]E(f329(f312(a909,a909,a117),f329(f304(a909,x37191),x37192)),f329(f304(a909,f329(a117,x37191)),f329(a117,x37192)))
% 192.21/192.21 [3746]P1(f329(f49(x37461,x37462),f87(f916(a909,a909),f49(x37461,x37462))))
% 192.21/192.21 [3769]E(f329(f329(f82(a909),f329(f329(f82(a909),f30(x37691)),f30(x37692))),f329(a117,f2(a909))),f30(f32(x37691,x37692)))
% 192.21/192.21 [3770]E(f46(a909,f329(a117,f46(a909,x37701,x37702)),x37702),f46(a909,f329(a117,x37701),x37702))
% 192.21/192.21 [3782]E(f329(f329(f41(f917(x37821,a904),f917(x37821,a904)),x37822),f5(f917(x37821,a904))),f39(f917(x37821,a904),x37822))
% 192.21/192.21 [3783]E(f329(f329(f40(f917(x37831,a904),f917(x37831,a904)),x37832),f5(f917(x37831,a904))),f38(f917(x37831,a904),x37832))
% 192.21/192.21 [3784]E(f329(f312(f910(x37841),f917(x37841,a904),f175(x37841)),f329(f175(f910(x37841)),f55(x37841,x37842))),f329(f310(x37841),f329(f175(x37841),x37842)))
% 192.21/192.21 [3788]P1(f329(f329(f331(f917(x37881,a904)),x37882),f329(f310(x37881),x37882)))
% 192.21/192.21 [3794]E(f46(a1,f329(f81(a1),f46(a1,x37941,x37942)),x37942),f46(a1,f329(f81(a1),x37941),x37942))
% 192.21/192.21 [3806]P1(f329(f329(f239(f917(x38061,a904)),x38062),f247(f917(x38061,a904))))
% 192.21/192.21 [3808]E(f329(f329(f291(x38081,x38081,x38081),f309(x38081,x38082)),f309(x38081,f309(x38081,x38082))),f309(x38081,x38082))
% 192.21/192.21 [3809]E(f329(f329(f115(f917(x38091,a904)),f329(f269(x38091,x38091),x38092)),f329(f287(x38091,x38091),x38092)),f329(f284(x38091),x38092))
% 192.21/192.21 [3830]E(f315(x38301,x38302,f247(f917(x38301,a904)),f247(f917(x38302,a904))),f247(f917(f915(x38301,x38302),a904)))
% 192.21/192.21 [3880]P1(f329(f329(f239(a909),f46(a909,x38801,x38802)),x38801))
% 192.21/192.21 [3904]P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x39041))),f329(f105(a1),x39042)))
% 192.21/192.21 [3930]P1(f329(f329(f331(f917(x39301,a904)),f191(f917(x39301,a904))),f329(f310(x39301),x39302)))
% 192.21/192.21 [3935]E(f309(x39351,f329(f329(f291(x39351,x39351,x39351),x39352),f309(x39351,x39352))),f309(x39351,x39352))
% 192.21/192.21 [3938]E(f329(f329(f291(x39381,x39381,x39381),f309(x39381,x39382)),x39382),f329(f329(f291(x39381,x39381,x39381),x39382),f309(x39381,x39382)))
% 192.21/192.21 [3940]E(f329(a109,f329(f329(f82(a1),f329(f329(f23(a1),x39401),x39402)),f80(a1))),f329(f36(a1),f305(a1,x39402,x39401)))
% 192.21/192.21 [3955]E(f329(f287(x39551,x39551),f329(f329(f291(x39551,x39551,x39551),x39552),f309(x39551,x39552))),f329(f287(x39551,x39551),x39552))
% 192.21/192.21 [3956]E(f329(f269(x39561,x39561),f329(f329(f291(x39561,x39561,x39561),x39562),f309(x39561,x39562))),f329(f269(x39561,x39561),x39562))
% 192.21/192.21 [3971]E(f329(f329(f82(a909),f329(f329(f82(a909),f329(f192(a905),x39711)),f329(f192(a905),x39712))),f329(a117,f2(a909))),f329(f192(a905),f32(x39711,x39712)))
% 192.21/192.21 [3974]E(f329(f145(f910(x39741),f910(x39741),f137(x39741),f118(x39741)),f172(f910(x39741),x39742,f118(x39741))),f118(x39741))
% 192.21/192.21 [3983]P31(a909,a909,f329(f329(f7(a909,a909,a909),f82(a909)),x39831),x39832)
% 192.21/192.21 [3985]P19(a909,f329(f171(a909),f329(f329(f157(f910(x39851),a909),f192(f910(x39851))),f182(x39851,x39852))))
% 192.21/192.21 [4016]P60(x40161,f329(f329(f115(f917(f916(x40161,x40161),a904)),x40162),f329(f289(x40161,x40161),x40162)))
% 192.21/192.21 [4017]P60(x40171,f329(f329(f106(f917(f916(x40171,x40171),a904)),x40172),f329(f289(x40171,x40171),x40172)))
% 192.21/192.21 [4028]P1(f329(f329(f240(a1),f329(f81(a1),f329(f105(a1),f329(a117,x40281)))),f329(f105(a1),x40282)))
% 192.21/192.21 [4072]E(f329(f145(f910(x40721),x40721,f329(f7(x40721,f910(x40721),f910(x40721)),f154(x40721)),f118(x40721)),x40722),f329(f171(x40721),x40722))
% 192.21/192.21 [4122]P1(f329(f329(f239(f917(f916(f910(x41221),f910(x41221)),a904)),f161(x41221,x41222)),f309(f910(x41221),f160(x41221,x41222))))
% 192.21/192.21 [4151]P1(f329(f49(x41511,x41512),f329(f329(f257(a909,a909),f329(f329(f37(a909),x41511),x41512)),f46(a909,x41511,x41512))))
% 192.21/192.21 [4163]P1(f329(f329(f239(f917(f916(f910(x41631),f910(x41631)),a904)),f160(x41631,f309(x41631,x41632))),f309(f910(x41631),f160(x41631,x41632))))
% 192.21/192.21 [4379]E(f329(f329(f264(f916(a104,a104),a104,f916(a104,a104),f916(x43791,f916(a104,a104))),f272(f329(f168(a104),f329(f329(f157(f916(a104,x43791),a104),f256(a104,x43791)),x43792)))),f329(f329(f8(x43791,f917(f916(a104,a104),f916(x43791,f916(a104,a104))),a104),f257(x43791,f916(a104,a104))),f273(x43791,x43792))),f271(x43791,x43792))
% 192.21/192.21 [4456]E(f227(a909,f916(x44561,f911(x44561)),f2(a909),f329(f262(x44561,f911(x44561),a909),f329(f16(f917(f911(x44561),a909),x44561),f329(f329(f7(f911(x44561),a909,a909),f329(f329(f8(a909,f917(a909,a909),f911(x44561)),f82(a909)),f192(f911(x44561)))),f80(a909)))),f329(f138(x44561),x44562)),f329(f192(f911(x44561)),x44562))
% 192.21/192.21 [4563]E(f329(f262(f917(f916(x45631,x45631),a904),f917(f916(x45631,x45631),a904),f917(f917(x45632,x45631),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904)))),f329(f329(f7(f917(f916(x45631,x45631),a904),f917(f917(f916(x45631,x45631),a904),f917(f917(x45632,x45631),f917(f916(x45632,x45632),a904))),f917(f917(f916(x45631,x45631),a904),f917(f917(x45632,x45631),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904))))),f329(f329(f8(f917(f917(f917(x45632,x45631),f917(f916(x45632,x45632),a904)),f917(f917(x45632,x45631),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904)))),f917(f917(f917(f916(x45631,x45631),a904),f917(f917(x45632,x45631),f917(f916(x45632,x45632),a904))),f917(f917(f916(x45631,x45631),a904),f917(f917(x45632,x45631),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904))))),f917(f916(x45631,x45631),a904)),f8(f917(f917(x45632,x45631),f917(f916(x45632,x45632),a904)),f917(f917(x45632,x45631),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904))),f917(f916(x45631,x45631),a904))),f329(f329(f8(f917(f917(x45632,x45631),f917(f917(f916(x45632,x45632),a904),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904)))),f917(f917(f917(x45632,x45631),f917(f916(x45632,x45632),a904)),f917(f917(x45632,x45631),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904)))),f917(f916(x45631,x45631),a904)),f18(f917(x45632,x45631),f917(f916(x45632,x45632),a904),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904)))),f329(f329(f8(f917(f917(x45632,x45631),f917(f916(x45632,x45632),a904)),f917(f917(x45632,x45631),f917(f917(f916(x45632,x45632),a904),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904)))),f917(f916(x45631,x45631),a904)),f329(f8(f917(f916(x45632,x45632),a904),f917(f917(f916(x45632,x45632),a904),f916(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904))),f917(x45632,x45631)),f257(f917(f916(x45632,x45632),a904),f917(f916(x45632,x45632),a904)))),f290(x45631,x45632))))),f290(x45631,x45632))),f75(x45631,x45632))
% 192.21/192.21 [4636]~E(f329(f310(x46361),x46362),f191(f917(f917(x46361,a904),a904)))
% 192.21/192.21 [4647]~P1(f329(f329(f175(x46471),f118(x46471)),x46472))
% 192.21/192.21 [4651]~P1(f329(f329(f331(x46511),x46512),f191(f917(x46511,a904))))
% 192.21/192.21 [4659]~P1(f329(f329(f240(f917(x46591,a904)),x46592),f191(f917(x46591,a904))))
% 192.21/192.21 [3491]E(f329(f329(f23(a909),x34911),f329(f329(f82(a909),x34911),x34912)),f2(a909))
% 192.21/192.21 [3494]E(f329(f329(f115(f917(x34941,a904)),x34942),x34942),x34942)
% 192.21/192.21 [3495]E(f329(f329(f106(f917(x34951,a904)),x34952),x34952),x34952)
% 192.21/192.21 [3523]E(f329(f329(f23(f917(x35231,a904)),x35232),x35232),f191(f917(x35231,a904)))
% 192.21/192.21 [3526]E(f329(f146(x35261,x35262),f2(a909)),f191(f917(f916(f910(x35261),f910(x35261)),a904)))
% 192.21/192.21 [3527]E(f329(f329(f82(a909),x35271),f329(a117,x35272)),f329(a117,f329(f329(f82(a909),x35271),x35272)))
% 192.21/192.21 [3539]E(f198(f329(f105(a1),x35391),f329(f105(a1),x35392)),f329(f105(a1),f329(f329(f23(a909),x35391),x35392)))
% 192.21/192.21 [3542]E(f329(f329(f37(a1),f329(f81(a1),x35421)),x35422),f329(f329(f37(a1),x35421),f329(f81(a1),x35422)))
% 192.21/192.21 [3546]E(f329(f36(a1),f329(f304(a1,x35461),x35462)),f329(a109,f329(f329(f23(a1),x35462),x35461)))
% 192.21/192.21 [3549]E(f329(f329(f82(a909),f329(a117,x35491)),x35492),f329(a117,f329(f329(f82(a909),x35491),x35492)))
% 192.21/192.21 [3552]E(f329(f81(f917(x35521,a904)),f329(f81(f917(x35521,a904)),x35522)),x35522)
% 192.21/192.21 [3565]E(f182(x35651,f329(f329(f154(f910(x35651)),f118(x35651)),x35652)),f182(x35651,x35652))
% 192.21/192.21 [3569]E(f329(f329(f82(a909),x35691),f329(f329(f83(a909),x35691),x35692)),f329(f329(f83(a909),x35691),f329(a117,x35692)))
% 192.21/192.21 [3576]E(f329(f329(a24,f329(a3,x35761)),f329(a3,x35762)),f329(a3,f329(f329(f23(a909),x35761),x35762)))
% 192.21/192.21 [3589]E(f329(f329(f83(a1),f329(f81(a1),x35891)),x35892),f329(f81(a1),f329(f329(f83(a1),x35891),x35892)))
% 192.21/192.21 [3591]E(f329(f329(f249(a1),f329(f105(a1),x35911)),x35912),f329(f105(a1),f329(f329(f249(a909),x35911),x35912)))
% 192.21/192.21 [3592]E(f329(f329(f82(a104),f329(a3,x35921)),f329(a3,x35922)),f329(a3,f329(f329(f82(a909),x35921),x35922)))
% 192.21/192.21 [3593]E(f329(f329(f83(a104),f329(a3,x35931)),f329(a3,x35932)),f329(a3,f329(f329(f83(a909),x35931),x35932)))
% 192.21/192.21 [3594]E(f329(f329(f237(a909),f329(a117,x35941)),f329(a117,x35942)),f329(a117,f329(f329(f237(a909),x35941),x35942)))
% 192.21/192.21 [3595]E(f329(f329(f238(a909),f329(a117,x35951)),f329(a117,x35952)),f329(a117,f329(f329(f238(a909),x35951),x35952)))
% 192.21/192.21 [3600]E(f329(f175(a909),f142(a909,f329(f304(a909,x36001),x36002))),f329(f304(a909,x36001),x36002))
% 192.21/192.21 [3601]E(f314(x36011,f329(f329(f311(x36011),x36012),f191(f917(x36011,a904)))),x36012)
% 192.21/192.21 [3605]E(f329(f287(x36051,x36052),f191(f917(f916(x36051,x36052),a904))),f191(f917(x36052,a904)))
% 192.21/192.21 [3606]E(f329(f269(x36061,x36062),f191(f917(f916(x36061,x36062),a904))),f191(f917(x36061,a904)))
% 192.21/192.21 [3610]E(f329(a109,f329(f329(f23(a1),x36101),x36102)),f329(f36(a1),f307(a1,x36102,x36101)))
% 192.21/192.21 [3615]E(f329(f329(f82(a909),x36151),f329(f329(f83(a909),x36152),x36151)),f329(f329(f83(a909),f329(a117,x36152)),x36151))
% 192.21/192.21 [3617]E(f329(f329(f61(x36171),f191(f917(x36171,a904))),x36172),f191(f917(f917(x36171,a904),a904)))
% 192.21/192.21 [3626]E(f329(f192(f910(a909)),f142(a909,f329(f304(a909,x36261),x36262))),f329(f329(f23(a909),x36262),x36261))
% 192.21/192.21 [3643]E(f329(f329(f115(f917(x36431,a904)),f191(f917(x36431,a904))),x36432),x36432)
% 192.21/192.21 [3644]E(f329(f329(f106(f917(x36441,a904)),f247(f917(x36441,a904))),x36442),x36442)
% 192.21/192.21 [3647]E(f329(f329(f82(a1),f329(f81(a1),x36471)),f329(f81(a1),x36472)),f329(f81(a1),f329(f329(f82(a1),x36471),x36472)))
% 192.21/192.21 [3650]E(f329(f329(f82(a1),f329(f105(a1),x36501)),f329(f105(a1),x36502)),f329(f105(a1),f329(f329(f82(a909),x36501),x36502)))
% 192.21/192.21 [3651]E(f329(f329(f82(a1),f329(f108(a1),x36511)),f329(f108(a1),x36512)),f329(f108(a1),f329(f329(f82(a1),x36511),x36512)))
% 192.21/192.21 [3653]E(f329(f329(f83(a1),f329(f105(a1),x36531)),f329(f105(a1),x36532)),f329(f105(a1),f329(f329(f83(a909),x36531),x36532)))
% 192.21/192.21 [3654]E(f329(f329(f83(a1),f329(f108(a1),x36541)),f329(f108(a1),x36542)),f329(f108(a1),f329(f329(f83(a1),x36541),x36542)))
% 192.21/192.21 [3655]E(f329(f329(f37(a1),f329(f105(a1),x36551)),f329(f105(a1),x36552)),f329(f105(a1),f329(f329(f37(a909),x36551),x36552)))
% 192.21/192.21 [3673]E(f329(f329(f6(x36731,a909),f329(f16(a909,x36731),f80(a909))),x36732),f329(f36(x36731),x36732))
% 192.21/192.21 [3680]E(f329(f81(a1),f46(a1,f329(f81(a1),x36801),x36802)),f46(a1,x36801,f329(f81(a1),x36802)))
% 192.21/192.21 [3682]E(f329(f175(a1),f181(x36821,f329(f329(f23(a1),x36822),f80(a1)))),f329(f304(a1,x36821),x36822))
% 192.21/192.21 [3686]P1(f329(f329(f239(a909),x36861),f329(f329(f82(a909),x36862),x36861)))
% 192.21/192.21 [3687]P1(f329(f329(f239(a909),x36871),f329(f329(f82(a909),x36871),x36872)))
% 192.21/192.21 [3690]E(f329(f329(f115(f917(x36901,a904)),f247(f917(x36901,a904))),x36902),f247(f917(x36901,a904)))
% 192.21/192.21 [3691]E(f329(f329(f23(f917(x36911,a904)),f191(f917(x36911,a904))),x36912),f191(f917(x36911,a904)))
% 192.21/192.21 [3692]E(f329(f329(f106(f917(x36921,a904)),f191(f917(x36921,a904))),x36922),f191(f917(x36921,a904)))
% 192.21/192.21 [3699]E(f329(f329(f257(a1,a1),x36991),f329(f81(a1),x36992)),f329(a52,f329(f329(f257(a1,a1),x36991),x36992)))
% 192.21/192.21 [3700]E(f329(f304(a1,f329(f329(f82(a1),x37001),f80(a1))),x37002),f308(a1,x37001,x37002))
% 192.21/192.21 [3711]E(f329(f329(f83(a909),x37111),f329(f329(f37(a909),x37112),x37111)),f329(f329(f23(a909),x37112),f46(a909,x37112,x37111)))
% 192.21/192.21 [3712]E(f329(f329(f83(a1),x37121),f329(f329(f37(a1),x37122),x37121)),f329(f329(f23(a1),x37122),f46(a1,x37122,x37121)))
% 192.21/192.21 [3716]E(f329(f175(a1),f181(f329(f329(f82(a1),x37161),f80(a1)),x37162)),f307(a1,x37161,x37162))
% 192.21/192.21 [3720]P1(f329(f329(f239(f917(x37201,a904)),x37202),x37202))
% 192.21/192.21 [3723]E(f329(f329(f115(f917(x37231,a904)),x37232),f329(f81(f917(x37231,a904)),x37232)),f247(f917(x37231,a904)))
% 192.21/192.21 [3724]E(f329(f329(f106(f917(x37241,a904)),x37242),f329(f81(f917(x37241,a904)),x37242)),f191(f917(x37241,a904)))
% 192.21/192.21 [3732]E(f329(f329(f23(a909),f329(f329(f23(a909),x37321),f80(a909))),x37322),f329(f329(f23(a909),x37321),f329(a117,x37322)))
% 192.21/192.21 [3738]E(f329(f329(f23(f917(x37381,a904)),f247(f917(x37381,a904))),x37382),f329(f81(f917(x37381,a904)),x37382))
% 192.21/192.21 [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))))
% 192.21/192.21 [3752]E(f329(f175(a909),f142(a909,f329(f304(a909,x37521),f329(a117,x37522)))),f305(a909,x37521,x37522))
% 192.21/192.21 [3767]E(f329(f192(f910(f910(x37671))),f55(x37671,x37672)),f329(f329(f249(a909),f329(a117,f329(a117,f2(a909)))),f329(f192(f910(x37671)),x37672)))
% 192.21/192.21 [3786]E(f329(f329(f186(f916(x37861,x37861),a904),f2(a909)),x37862),f309(x37861,f191(f917(f916(x37861,x37861),a904))))
% 192.21/192.21 [3790]P1(f329(f140(a909),f142(a909,f329(f304(a909,x37901),x37902))))
% 192.21/192.21 [3807]E(f329(f312(a1,a909,a109),f305(a1,f329(f105(a1),x38071),f329(f105(a1),x38072))),f305(a909,x38071,x38072))
% 192.21/192.21 [3816]E(f188(a909,f2(a909),f5(a909),f329(f329(f23(a909),x38161),x38162)),f329(f329(f23(a909),x38161),f329(a117,x38162)))
% 192.21/192.21 [3817]E(f329(a109,f329(f329(f23(a1),x38171),f329(f329(f82(a1),x38172),f80(a1)))),f329(f36(a1),f308(a1,x38172,x38171)))
% 192.21/192.21 [3853]E(f329(f329(f157(a909,a909),a117),f142(a909,f329(f304(a909,x38531),x38532))),f142(a909,f329(f304(a909,f329(a117,x38531)),f329(a117,x38532))))
% 192.21/192.21 [3861]E(f329(f175(a1),f181(f329(f329(f82(a1),x38611),f80(a1)),f329(f329(f23(a1),x38612),f80(a1)))),f308(a1,x38611,x38612))
% 192.21/192.21 [3872]P1(f329(f329(f239(f917(x38721,a904)),f191(f917(x38721,a904))),x38722))
% 192.21/192.21 [3876]E(f87(x38761,f329(f329(f7(x38761,x38761,a904),a326),x38762)),x38762)
% 192.21/192.21 [3877]E(f92(x38771,f329(f329(f7(x38771,x38771,a904),a326),x38772)),x38772)
% 192.21/192.21 [3881]E(f329(f175(a909),f142(a909,f329(f304(a909,f329(a117,x38811)),f329(a117,x38812)))),f307(a909,x38811,x38812))
% 192.21/192.21 [3907]E(f329(f329(f259(x39071,x39072),f247(f917(x39071,a904))),f329(f16(f917(x39072,a904),x39071),f247(f917(x39072,a904)))),f247(f917(f916(x39071,x39072),a904)))
% 192.21/192.21 [3942]E(f329(f267(x39421),f329(f329(f8(a904,a904,x39421),a324),x39422)),f329(f81(f917(x39421,a904)),f329(f267(x39421),x39422)))
% 192.21/192.21 [3945]E(f329(f267(x39451),f329(f329(f7(x39451,x39451,a904),a326),x39452)),f329(f329(f311(x39451),x39452),f191(f917(x39451,a904))))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [3968]P1(f329(f329(f239(a909),f329(f36(x39681),f329(f175(x39681),x39682))),f329(f192(f910(x39681)),x39682)))
% 192.21/192.21 [3969]P1(f329(f329(f239(a909),f329(f192(f910(x39691)),f155(x39691,x39692))),f329(f192(f910(x39691)),x39692)))
% 192.21/192.21 [3980]E(f329(f267(x39801),f329(f329(f7(x39801,f917(x39801,a904),a904),f331(x39801)),x39802)),x39802)
% 192.21/192.21 [3994]E(f329(f329(f178(x39941),f329(f329(f23(a909),f329(f192(f910(x39941)),x39942)),f80(a909))),x39942),f119(x39941,x39942))
% 192.21/192.21 [4015]E(f188(a909,f2(a909),f329(f329(f8(a909,a909,a909),a117),f329(f237(a909),x40151)),x40152),f329(f329(f237(a909),f329(a117,x40151)),x40152))
% 192.21/192.21 [4020]E(f38(f917(x40201,a904),f329(f312(f917(f916(x40201,x40201),a904),f917(x40201,a904),f284(x40201)),x40202)),f329(f284(x40201),f38(f917(f916(x40201,x40201),a904),x40202)))
% 192.21/192.21 [4021]E(f188(a909,f329(a117,x40211),f329(f329(f8(a909,a909,a909),a117),f329(f238(a909),x40211)),x40212),f329(f329(f238(a909),f329(a117,x40211)),x40212))
% 192.21/192.21 [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))
% 192.21/192.21 [4045]P1(f329(f329(f239(f917(f917(x40451,a904),a904)),x40452),f329(f310(x40451),f38(f917(x40451,a904),x40452))))
% 192.21/192.21 [4077]E(f329(f329(f40(x40771,f917(x40771,a904)),x40772),f329(f329(f7(x40771,f917(x40771,a904),f917(x40771,a904)),f311(x40771)),f191(f917(x40771,a904)))),x40772)
% 192.21/192.21 [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))))
% 192.21/192.21 [4143]E(f329(f175(x41431),f329(f145(f910(x41431),f910(x41431),f137(x41431),f118(x41431)),x41432)),f329(f329(f40(f910(x41431),f917(x41431,a904)),f329(f175(f910(x41431)),x41432)),f175(x41431)))
% 192.21/192.21 [4174]E(f329(f329(f115(f917(f916(x41741,x41741),a904)),f309(x41741,f191(f917(f916(x41741,x41741),a904)))),f329(f329(f291(x41741,x41741,x41741),f309(x41741,x41742)),x41742)),f309(x41741,x41742))
% 192.21/192.21 [4210]E(f329(f329(f184(x42101,x42101),x42102),x42102),f329(f329(f157(x42101,f916(x42101,x42101)),f329(f329(f18(x42101,x42101,f916(x42101,x42101)),f257(x42101,x42101)),f5(x42101))),x42102))
% 192.21/192.21 [4321]E(f329(f145(a909,f910(x43211),f329(f7(f910(x43211),a909,a909),f329(f329(f8(a909,f917(a909,a909),f910(x43211)),f238(a909)),f192(f910(x43211)))),f2(a909)),f329(f171(f910(x43211)),x43212)),f329(f192(f910(f910(x43211))),f182(x43211,x43212)))
% 192.21/192.21 [4393]E(f329(f329(f290(f916(a909,f910(x43931)),f910(x43931)),f321(a909,f910(x43931),a245,f148(x43931,x43932))),f329(f329(f18(f910(x43931),f910(x43931),f916(a909,f910(x43931))),f329(f329(f8(a909,f917(f910(x43931),f916(a909,f910(x43931))),f910(x43931)),f257(a909,f910(x43931))),f192(f910(x43931)))),f5(f910(x43931)))),f149(x43931,x43932))
% 192.21/192.21 [4520]E(f329(f267(x45201),f329(f329(f8(f917(f917(x45201,a904),a904),a904,x45201),f90(f917(x45201,a904))),f329(f329(f8(f917(f917(x45201,a904),a904),f917(f917(x45201,a904),a904),x45201),f329(f18(f917(x45201,a904),a904,a904),f329(f329(f8(a904,f917(a904,a904),f917(x45201,a904)),a332),f329(f329(f7(f917(x45201,a904),f917(f917(x45201,a904),a904),a904),f331(f917(x45201,a904))),x45202)))),f331(x45201)))),f39(f917(x45201,a904),x45202))
% 192.21/192.21 [4521]E(f329(f267(x45211),f329(f329(f8(f917(f917(x45211,a904),a904),a904,x45211),f89(f917(x45211,a904))),f329(f329(f8(f917(f917(x45211,a904),a904),f917(f917(x45211,a904),a904),x45211),f329(f18(f917(x45211,a904),a904,a904),f329(f329(f8(a904,f917(a904,a904),f917(x45211,a904)),a327),f329(f329(f7(f917(x45211,a904),f917(f917(x45211,a904),a904),a904),f331(f917(x45211,a904))),x45212)))),f331(x45211)))),f38(f917(x45211,a904),x45212))
% 192.21/192.21 [4660]~P1(f329(f329(f240(a1),f329(f105(a1),x46601)),f329(f81(a1),f329(f105(a1),x46602))))
% 192.21/192.21 [3613]E(f329(f329(f23(a909),f329(f329(f82(a909),x36131),x36132)),x36132),x36131)
% 192.21/192.21 [3614]E(f329(f329(f23(a909),f329(f329(f82(a909),x36141),x36142)),x36141),x36142)
% 192.21/192.21 [3681]E(f329(f329(f82(a909),f329(f329(f23(a909),x36811),x36812)),x36812),f329(f329(f238(a909),x36811),x36812))
% 192.21/192.21 [3793]E(f329(f329(f83(a909),f329(f329(f37(a909),x37931),x37932)),x37932),f329(f329(f23(a909),x37931),f46(a909,x37931,x37932)))
% 192.21/192.21 [3821]E(f329(f175(a909),f142(a909,f329(f304(a909,f329(a117,x38211)),x38212))),f308(a909,x38211,x38212))
% 192.21/192.21 [3829]E(f329(f105(a1),f220(f329(a109,f329(f77(a1),x38291)),f329(a109,f329(f77(a1),x38292)))),f329(f329(a221,x38291),x38292))
% 192.21/192.21 [3831]E(f329(f329(f115(f917(x38311,a904)),f329(f81(f917(x38311,a904)),x38312)),x38312),f247(f917(x38311,a904)))
% 192.21/192.21 [3832]E(f329(f329(f106(f917(x38321,a904)),f329(f81(f917(x38321,a904)),x38322)),x38322),f191(f917(x38321,a904)))
% 192.21/192.21 [3849]P1(f329(f329(f239(a909),f329(f329(f23(a909),x38491),x38492)),x38491))
% 192.21/192.21 [3850]P1(f329(f329(f239(a909),f329(f329(f37(a909),x38501),x38502)),x38501))
% 192.21/192.21 [3873]P1(f329(f329(f240(a909),x38731),f329(a117,f329(f329(f82(a909),x38732),x38731))))
% 192.21/192.21 [3874]P1(f329(f329(f240(a909),x38741),f329(a117,f329(f329(f82(a909),x38741),x38742))))
% 192.21/192.21 [3891]E(f329(f329(f83(a909),f329(a109,f329(f77(a1),x38911))),f329(a109,f329(f77(a1),x38912))),f329(a109,f329(f77(a1),f329(f329(f83(a1),x38911),x38912))))
% 192.21/192.21 [3903]P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x39031)),x39032)))
% 192.21/192.21 [3973]E(f329(f288(f910(x39731),f910(x39731),f161(x39731,x39732)),f329(f329(f311(f910(x39731)),f118(x39731)),f191(f917(f910(x39731),a904)))),f329(f329(f311(f910(x39731)),f118(x39731)),f191(f917(f910(x39731),a904))))
% 192.21/192.21 [3992]E(f329(f329(f115(f917(f916(x39921,x39921),a904)),f309(x39921,x39922)),f309(x39921,f191(f917(f916(x39921,x39921),a904)))),f309(x39921,x39922))
% 192.21/192.21 [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)))
% 192.21/192.21 [4067]E(f329(f329(f249(a1),x40671),f329(f108(a909),f329(f329(f82(a1),x40672),x40672))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x40671),f329(f108(a909),x40672))),f329(f329(f18(a1,a1,a1),f83(a1)),f5(a1))))
% 192.21/192.21 [4073]E(f329(f267(f917(x40731,a904)),f329(f329(f7(f917(x40731,a904),f917(x40731,a904),a904),f239(f917(x40731,a904))),x40732)),f329(f310(x40731),x40732))
% 192.21/192.21 [4089]E(f329(f329(f157(a1,a909),a109),f329(f329(f137(a1),f329(f329(f157(a909,a1),f105(a1)),x40891)),f329(f329(f157(a909,a1),f105(a1)),x40892))),f329(f329(f137(a909),x40891),x40892))
% 192.21/192.21 [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))
% 192.21/192.21 [4123]P62(x41231,f329(f329(f23(f917(f916(x41231,x41231),a904)),x41232),f309(x41231,f191(f917(f916(x41231,x41231),a904)))))
% 192.21/192.21 [4141]E(f329(f192(f910(x41411)),f329(f145(f910(x41411),f910(x41411),f137(x41411),f118(x41411)),x41412)),f329(f168(a909),f329(f329(f157(f910(x41411),a909),f192(f910(x41411))),x41412)))
% 192.21/192.21 [4145]P61(x41451,f247(f917(x41451,a904)),f329(f329(f115(f917(f916(x41451,x41451),a904)),x41452),f309(x41451,f191(f917(f916(x41451,x41451),a904)))))
% 192.21/192.21 [4190]E(f188(a909,f2(a909),f329(f329(f8(a909,a909,a909),a117),f329(f329(f7(a909,a909,a909),f237(a909)),x41901)),x41902),f329(f329(f237(a909),x41902),f329(a117,x41901)))
% 192.21/192.21 [4193]E(f188(a909,f329(a117,x41931),f329(f329(f8(a909,a909,a909),a117),f329(f329(f7(a909,a909,a909),f238(a909)),x41931)),x41932),f329(f329(f238(a909),x41932),f329(a117,x41931)))
% 192.21/192.21 [4196]E(f329(f312(x41961,f910(x41961),f329(f329(f7(x41961,f910(x41961),f910(x41961)),f154(x41961)),f118(x41961))),x41962),f177(x41961,x41962,f329(f329(f311(f910(x41961)),f118(x41961)),f191(f917(f910(x41961),a904)))))
% 192.21/192.21 [4198]E(f329(f329(f115(f917(f916(x41981,x41981),a904)),f329(f329(f291(x41981,x41981,x41981),x41982),f309(x41981,x41982))),f309(x41981,f191(f917(f916(x41981,x41981),a904)))),f309(x41981,x41982))
% 192.21/192.21 [4205]P1(f329(f329(f239(f917(f916(x42051,x42051),a904)),f268(x42051,x42052)),f329(f329(f259(x42051,x42051),x42052),f329(f16(f917(x42051,a904),x42051),x42052))))
% 192.21/192.21 [4208]E(f329(f312(a1,a909,a109),f329(f329(f115(f917(a1,a904)),f329(f312(a909,a1,f105(a1)),x42081)),f329(f312(a909,a1,f105(a1)),x42082))),f329(f329(f115(f917(a909,a904)),x42081),x42082))
% 192.21/192.21 [4209]E(f329(f312(a1,a909,a109),f329(f329(f106(f917(a1,a904)),f329(f312(a909,a1,f105(a1)),x42091)),f329(f312(a909,a1,f105(a1)),x42092))),f329(f329(f106(f917(a909,a904)),x42091),x42092))
% 192.21/192.21 [4212]E(f329(f267(x42121),f329(f329(f8(a904,a904,x42121),a324),f329(f329(f7(x42121,f917(x42121,a904),a904),f331(x42121)),x42122))),f329(f81(f917(x42121,a904)),x42122))
% 192.21/192.21 [4239]E(f329(f145(f910(x42391),f910(x42391),f137(x42391),f118(x42391)),f329(f329(f157(f910(x42391),f910(x42391)),f171(x42391)),f329(f171(f910(x42391)),x42392))),f329(f171(x42391),f329(f145(f910(x42391),f910(x42391),f137(x42391),f118(x42391)),x42392)))
% 192.21/192.21 [4265]E(f329(f329(f40(a909,f917(f916(x42651,x42651),a904)),f247(f917(a909,a904))),f329(f329(f7(a909,f917(f916(x42651,x42651),a904),f917(f916(x42651,x42651),a904)),f186(f916(x42651,x42651),a904)),x42652)),f309(x42651,x42652))
% 192.21/192.21 [4283]E(f87(x42831,f329(f329(f8(f917(x42831,a904),a904,x42831),f329(a326,x42832)),f329(f329(f7(x42831,f917(x42831,a904),f917(x42831,a904)),f311(x42831)),f191(f917(x42831,a904))))),f314(x42831,x42832))
% 192.21/192.21 [4291]E(f329(f192(f910(x42911)),f155(x42911,f329(f145(f910(x42911),f910(x42911),f137(x42911),f118(x42911)),x42912))),f329(f36(x42911),f329(f329(f40(f910(x42911),f917(x42911,a904)),f329(f175(f910(x42911)),x42912)),f175(x42911))))
% 192.21/192.21 [4305]E(f329(f329(f115(f917(f916(x43051,x43051),a904)),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)))
% 192.21/192.21 [4329]P1(f329(f329(f239(f917(f916(x43291,x43291),a904)),f329(f329(f291(x43291,x43291,x43291),x43292),f309(x43291,x43292))),f329(f329(f259(x43291,x43291),f329(f284(x43291),x43292)),f329(f16(f917(x43291,a904),x43291),f329(f284(x43291),x43292)))))
% 192.21/192.21 [4370]E(f329(f267(f910(x43701)),f329(f329(f7(f910(x43701),f917(x43701,a904),a904),f329(f329(f8(f917(x43701,a904),f917(f917(x43701,a904),a904),f910(x43701)),f239(f917(x43701,a904))),f175(x43701))),x43702)),f164(x43701,x43702))
% 192.21/192.21 [4381]E(f329(f159(f910(x43811),x43811,f118(x43811),f329(f329(f8(f910(x43811),f917(f910(x43811),f910(x43811)),x43811),f329(f7(f910(x43811),f910(x43811),f910(x43811)),f137(x43811))),f329(f329(f7(x43811,f910(x43811),f910(x43811)),f154(x43811)),f118(x43811)))),x43812),f329(f170(x43811),x43812))
% 192.21/192.21 [4421]P31(f917(x44211,x44212),f917(f916(x44211,x44212),a904),f329(f329(f8(f917(f916(x44211,x44212),a904),f917(f916(x44211,x44212),a904),f917(x44211,x44212)),f267(f916(x44211,x44212))),f329(f329(f8(f917(x44211,f917(x44212,a904)),f917(f916(x44211,x44212),a904),f917(x44211,x44212)),f262(x44211,x44212,a904)),f329(f8(x44212,f917(x44212,a904),x44211),f329(f7(x44212,x44212,a904),a326)))),f247(f917(f917(x44211,x44212),a904)))
% 192.21/192.21 [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))))
% 192.21/192.21 [4470]E(f329(f329(f40(x44701,f917(f916(x44701,x44701),a904)),x44702),f329(f329(f7(x44701,f917(f916(x44701,x44701),a904),f917(f916(x44701,x44701),a904)),f329(f329(f8(f916(x44701,x44701),f917(f917(f916(x44701,x44701),a904),f917(f916(x44701,x44701),a904)),x44701),f311(f916(x44701,x44701))),f329(f329(f18(x44701,x44701,f916(x44701,x44701)),f257(x44701,x44701)),f5(x44701)))),f191(f917(f916(x44701,x44701),a904)))),f268(x44701,x44702))
% 192.21/192.21 [4478]E(f206(x44781,f329(f329(f257(a1,a1),f329(f81(a1),f329(f329(f74(f916(a1,a1),a1,x44781,f256(a1,a1)),f216(x44781)),x44782))),f329(f329(f74(f916(a1,a1),a1,x44781,f261(a1,a1)),f216(x44781)),x44782))),f231(x44781,x44782))
% 192.21/192.21 [4559]E(f329(f267(f917(x45591,a904)),f329(f329(f8(f917(f917(x45591,a904),a904),a904,f917(x45591,a904)),f89(f917(x45591,a904))),f329(f329(f7(f917(x45591,a904),f917(f917(x45591,a904),a904),f917(f917(x45591,a904),a904)),f329(f329(f8(f917(f917(x45591,a904),f917(a904,a904)),f917(f917(f917(x45591,a904),a904),f917(f917(x45591,a904),a904)),f917(x45591,a904)),f18(f917(x45591,a904),a904,a904)),f329(f329(f8(f917(f917(x45591,a904),a904),f917(f917(x45591,a904),f917(a904,a904)),f917(x45591,a904)),f329(f8(a904,f917(a904,a904),f917(x45591,a904)),a327)),f329(f329(f7(f917(x45591,a904),f917(f917(x45591,a904),f917(x45591,a904)),f917(f917(x45591,a904),a904)),f329(f329(f8(f917(f917(x45591,a904),a904),f917(f917(f917(x45591,a904),f917(x45591,a904)),f917(f917(x45591,a904),a904)),f917(x45591,a904)),f8(f917(x45591,a904),a904,f917(x45591,a904))),a326)),f81(f917(x45591,a904)))))),f329(f329(f8(f917(f917(x45591,a904),a904),a904,f917(x45591,a904)),f329(f331(f917(x45591,a904)),x45592)),f310(x45591))))),f329(f310(x45591),f329(f81(f917(x45591,a904)),x45592)))
% 192.21/192.21 [4658]~E(f329(f329(f82(a1),x46581),x46581),f329(f329(f23(a1),f329(f329(f82(a1),x46582),x46582)),a102))
% 192.21/192.21 [4662]~P1(f329(f329(f240(a909),f329(f329(f82(a909),x46621),x46622)),x46622))
% 192.21/192.21 [4663]~P1(f329(f329(f240(a909),f329(f329(f82(a909),x46631),x46632)),x46631))
% 192.21/192.21 [3908]E(f329(f329(f23(a909),x39081),f329(f329(f83(a909),f329(f329(f37(a909),x39081),x39082)),x39082)),f46(a909,x39081,x39082))
% 192.21/192.21 [3909]E(f329(f329(f23(a1),x39091),f329(f329(f83(a1),f329(f329(f37(a1),x39091),x39092)),x39092)),f46(a1,x39091,x39092))
% 192.21/192.21 [3943]E(f329(f329(f157(a909,x39431),f329(f167(x39431),x39432)),f142(a909,f329(f304(a909,f2(a909)),f329(f192(f910(x39431)),x39432)))),x39432)
% 192.21/192.21 [4001]E(f329(f288(x40011,x40011,f309(x40011,f191(f917(f916(x40011,x40011),a904)))),x40012),x40012)
% 192.21/192.21 [4126]E(f309(x41261,f329(f329(f115(f917(f916(x41261,x41261),a904)),x41262),f309(x41261,f191(f917(f916(x41261,x41261),a904))))),f309(x41261,x41262))
% 192.21/192.21 [4127]E(f309(x41271,f329(f329(f23(f917(f916(x41271,x41271),a904)),x41272),f309(x41271,f191(f917(f916(x41271,x41271),a904))))),f309(x41271,x41272))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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))))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [4302]E(f329(f105(a1),f329(f329(f37(a909),f329(f329(f83(a909),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))
% 192.21/192.21 [4347]E(f329(f329(f264(f916(a104,a104),a104,f916(a104,a104),f916(x43471,f916(a104,a104))),f272(f329(a3,f329(f192(f910(x43471)),x43472)))),f329(f329(f8(x43471,f917(f916(a104,a104),f916(x43471,f916(a104,a104))),a104),f257(x43471,f916(a104,a104))),f329(f329(f8(a909,x43471,a104),f329(f167(x43471),x43472)),a20))),f278(x43471,x43472))
% 192.21/192.21 [4427]E(f329(f145(a909,f910(x44271),f329(f7(f910(x44271),a909,a909),f329(f329(f8(a909,f917(a909,a909),f910(x44271)),f238(a909)),f192(f910(x44271)))),f2(a909)),f329(f171(f910(x44271)),f182(x44271,x44272))),f329(f192(f910(f910(x44271))),f329(f139(f910(x44271),f329(f329(f8(a904,a904,f910(x44271)),a324),f329(f329(f7(f910(x44271),f910(x44271),a904),a326),f118(x44271)))),x44272)))
% 192.21/192.21 [4433]E(f329(f329(f40(a909,f917(x44331,a904)),f247(f917(a909,a904))),f329(f329(f7(a909,f917(a909,f917(x44331,a904)),f917(x44331,a904)),f329(f329(f8(f917(a909,a904),f917(f917(a909,f917(x44331,a904)),f917(x44331,a904)),a909),f40(a909,f917(x44331,a904))),f304(a909,f2(a909)))),x44332)),f329(f329(f40(a909,f917(x44331,a904)),f247(f917(a909,a904))),x44332))
% 192.21/192.21 [4455]P1(f329(f62(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),x44551)),f329(f329(f7(a909,a909,a904),f240(a909)),x44552)))))
% 192.21/192.21 [4568]E(f329(f267(f916(f910(x45681),f910(x45681))),f329(f262(f910(x45681),f910(x45681),a904),f329(f329(f18(f910(x45681),f917(f910(x45681),a904),f917(f910(x45681),a904)),f329(f329(f8(f917(f910(x45681),f917(a904,a904)),f917(f917(f910(x45681),a904),f917(f910(x45681),a904)),f910(x45681)),f18(f910(x45681),a904,a904)),f329(f329(f8(f917(f910(x45681),a904),f917(f910(x45681),f917(a904,a904)),f910(x45681)),f329(f8(a904,f917(a904,a904),f910(x45681)),a328)),f329(f329(f7(f910(x45681),f917(f910(x45681),a909),f917(f910(x45681),a904)),f329(f329(f8(f917(a909,a904),f917(f917(f910(x45681),a909),f917(f910(x45681),a904)),f910(x45681)),f8(a909,a904,f910(x45681))),f329(f329(f8(a909,f917(a909,a904),f910(x45681)),f240(a909)),f192(f910(x45681))))),f192(f910(x45681)))))),f329(f329(f18(f910(x45681),f917(f910(x45681),a904),f917(f910(x45681),a904)),f329(f329(f8(f917(f910(x45681),f917(a904,a904)),f917(f917(f910(x45681),a904),f917(f910(x45681),a904)),f910(x45681)),f18(f910(x45681),a904,a904)),f329(f329(f8(f917(f910(x45681),a904),f917(f910(x45681),f917(a904,a904)),f910(x45681)),f329(f8(a904,f917(a904,a904),f910(x45681)),a327)),f329(f329(f7(f910(x45681),f917(f910(x45681),a909),f917(f910(x45681),a904)),f329(f329(f8(f917(a909,a904),f917(f917(f910(x45681),a909),f917(f910(x45681),a904)),f910(x45681)),f8(a909,a904,f910(x45681))),f329(f329(f8(a909,f917(a909,a904),f910(x45681)),a326),f192(f910(x45681))))),f192(f910(x45681)))))),f329(f329(f7(f910(x45681),f917(f916(f910(x45681),f910(x45681)),a904),f917(f910(x45681),a904)),f329(f329(f8(f917(f910(x45681),f917(f917(f916(f910(x45681),f910(x45681)),a904),a904)),f917(f917(f916(f910(x45681),f910(x45681)),a904),f917(f910(x45681),a904)),f910(x45681)),f7(f910(x45681),f917(f916(f910(x45681),f910(x45681)),a904),a904)),f329(f329(f8(f917(f910(x45681),f916(f910(x45681),f910(x45681))),f917(f910(x45681),f917(f917(f916(f910(x45681),f910(x45681)),a904),a904)),f910(x45681)),f329(f8(f916(f910(x45681),f910(x45681)),f917(f917(f916(f910(x45681),f910(x45681)),a904),a904),f910(x45681)),f331(f916(f910(x45681),f910(x45681))))),f257(f910(x45681),f910(x45681))))),f148(x45681,x45682)))))),f149(x45681,x45682))
% 192.21/192.21 [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))
% 192.21/192.21 [4346]E(f329(a109,f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x43461),x43462)),f191(f917(f916(a909,a909),a904)))))),f329(f329(f23(a909),x43461),x43462))
% 192.21/192.21 [4350]E(f329(f329(f291(x43501,x43501,x43501),f329(f329(f115(f917(f916(x43501,x43501),a904)),x43502),f309(x43501,f191(f917(f916(x43501,x43501),a904))))),f309(x43501,f329(f329(f115(f917(f916(x43501,x43501),a904)),x43502),f309(x43501,f191(f917(f916(x43501,x43501),a904)))))),f309(x43501,x43502))
% 192.21/192.21 [4387]E(f273(x43871,f329(f139(f916(a104,x43871),f329(f262(a104,x43871,a904),f329(f329(f8(a904,f917(x43871,a904),a104),f16(a904,x43871)),f329(f240(a104),f2(a104))))),x43872)),f273(x43871,x43872))
% 192.21/192.21 [4388]E(f271(x43881,f329(f139(f916(a104,x43881),f329(f262(a104,x43881,a904),f329(f329(f8(a904,f917(x43881,a904),a104),f16(a904,x43881)),f329(f240(a104),f2(a104))))),x43882)),f271(x43881,x43882))
% 192.21/192.21 [4390]E(f329(f81(a1),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x43901),x43902)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x43902),x43901)),f191(f917(f916(a909,a909),a904))))))
% 192.21/192.21 [4446]E(f329(f329(f290(f910(a909),x44461),f148(a909,a245)),f329(f329(f7(x44461,f910(f917(x44461,a909)),f910(a909)),f329(f329(f8(f917(f917(x44461,a909),a909),f917(f910(f917(x44461,a909)),f910(a909)),x44461),f157(f917(x44461,a909),a909)),f329(f7(f917(x44461,a909),x44461,a909),f5(f917(x44461,a909))))),x44462)),f156(x44461,x44462))
% 192.21/192.21 [4467]E(f329(f329(f88(a1,a909),f329(f108(a1),f329(f329(f82(a1),x44671),a102))),f329(f329(f18(a1,a909,a909),f329(f329(f7(a1,a909,f917(a909,a909)),f329(f329(f8(a904,f917(a909,f917(a909,a909)),a1),f99(a909)),a196)),f2(a909))),f329(f329(f8(a909,a909,a1),a117),f329(f329(f8(a909,a909,a1),f329(f237(a909),x44672)),a109)))),f329(f329(f237(a909),f329(a117,x44672)),f329(f108(a909),x44671)))
% 192.21/192.21 [4468]E(f329(f329(f88(a1,a909),f329(f108(a1),f329(f329(f82(a1),x44681),a102))),f329(f329(f18(a1,a909,a909),f329(f329(f7(a1,a909,f917(a909,a909)),f329(f329(f8(a904,f917(a909,f917(a909,a909)),a1),f99(a909)),a196)),f329(a117,x44682))),f329(f329(f8(a909,a909,a1),a117),f329(f329(f8(a909,a909,a1),f329(f238(a909),x44682)),a109)))),f329(f329(f238(a909),f329(a117,x44682)),f329(f108(a909),x44681)))
% 192.21/192.21 [4488]E(f329(f145(f910(x44881),f910(x44881),f137(x44881),f118(x44881)),f329(f329(f157(f910(x44881),f910(x44881)),f159(f910(x44881),x44881,f118(x44881),f329(f329(f8(f910(x44881),f917(f910(x44881),f910(x44881)),x44881),f16(f910(x44881),f910(x44881))),f329(f329(f7(x44881,f910(x44881),f910(x44881)),f154(x44881)),f118(x44881))))),x44882)),f329(f329(f157(f910(x44881),x44881),f144(x44881)),f329(f139(f910(x44881),f329(f329(f8(a904,a904,f910(x44881)),a324),f329(f329(f7(f910(x44881),f910(x44881),a904),a326),f118(x44881)))),x44882)))
% 192.21/192.21 [4550]E(f329(f262(a1,a1,a904),f329(f329(f7(a1,f917(a1,a904),f917(a1,a904)),f329(f329(f8(f917(a1,f917(a904,a904)),f917(f917(a1,a904),f917(a1,a904)),a1),f18(a1,a904,a904)),f329(f329(f8(f917(a1,a904),f917(a1,f917(a904,a904)),a1),f329(f8(a904,f917(a904,a904),a1),a327)),f329(f329(f8(f917(a1,a1),f917(a1,a904),a1),f329(f8(a1,a904,a1),f329(a326,x45501))),f329(f329(f8(a1,f917(a1,a1),a1),f82(a1)),f329(f83(a1),x45502)))))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),f329(a332,f329(f329(f240(a1),f2(a1)),x45502))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),f329(f329(f7(a1,a1,a904),f240(a1)),x45502))))),f329(f329(f8(a904,a904,a1),f329(a332,f329(a324,f329(f329(f240(a1),f2(a1)),x45502)))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f240(a1),x45502))),f329(f329(f7(a1,a1,a904),f239(a1)),f2(a1))))))),f50(x45501,x45502))
% 192.21/192.21 [4553]E(f329(f267(x45531),f329(f329(f8(f917(a909,a904),a904,x45531),f89(a909)),f329(f329(f7(x45531,f917(a909,a904),f917(a909,a904)),f329(f329(f8(f917(a909,f917(a904,a904)),f917(f917(a909,a904),f917(a909,a904)),x45531),f18(a909,a904,a904)),f329(f329(f8(f917(a909,a904),f917(a909,f917(a904,a904)),x45531),f329(f8(a904,f917(a904,a904),a909),a327)),f329(f329(f7(x45531,f917(a909,x45531),f917(a909,a904)),f329(f329(f8(f917(x45531,a904),f917(f917(a909,x45531),f917(a909,a904)),x45531),f8(x45531,a904,a909)),a326)),f329(f167(x45531),x45532))))),f329(f329(f7(a909,a909,a904),f240(a909)),f329(f192(f910(x45531)),x45532))))),f329(f175(x45531),x45532))
% 192.21/192.21 [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)))
% 192.21/192.21 [4483]E(f329(f145(f910(f910(x44831)),f910(f910(x44831)),f137(f910(x44831)),f118(f910(x44831))),f329(f329(f157(f910(x44831),f910(f910(x44831))),f159(f910(f910(x44831)),x44831,f118(f910(x44831)),f329(f16(f917(f910(x44831),f910(f910(x44831))),x44831),f329(f329(f7(f910(x44831),f910(f910(x44831)),f910(f910(x44831))),f154(f910(x44831))),f118(f910(x44831)))))),x44832)),f329(f329(f157(f910(x44831),f910(x44831)),f174(x44831)),f329(f139(f910(x44831),f329(f329(f8(a904,a904,f910(x44831)),a324),f329(f329(f7(f910(x44831),f910(x44831),a904),a326),f118(x44831)))),x44832)))
% 192.21/192.21 [4493]E(f329(f329(f88(a1,a909),f329(f108(a1),f329(f329(f82(a1),x44931),a102))),f329(f329(f18(a1,a909,a909),f329(f329(f7(a1,a909,f917(a909,a909)),f329(f329(f8(a904,f917(a909,f917(a909,a909)),a1),f99(a909)),a196)),f2(a909))),f329(f329(f8(a909,a909,a1),a117),f329(f329(f7(a1,a909,a909),f329(f329(f8(a909,f917(a909,a909),a1),f237(a909)),a109)),x44932)))),f329(f329(f237(a909),f329(f108(a909),x44931)),f329(a117,x44932)))
% 192.21/192.21 [4494]E(f329(f329(f88(a1,a909),f329(f108(a1),f329(f329(f82(a1),x44941),a102))),f329(f329(f18(a1,a909,a909),f329(f329(f7(a1,a909,f917(a909,a909)),f329(f329(f8(a904,f917(a909,f917(a909,a909)),a1),f99(a909)),a196)),f329(a117,x44942))),f329(f329(f8(a909,a909,a1),a117),f329(f329(f7(a1,a909,a909),f329(f329(f8(a909,f917(a909,a909),a1),f238(a909)),a109)),x44942)))),f329(f329(f238(a909),f329(f108(a909),x44941)),f329(a117,x44942)))
% 192.21/192.21 [4482]E(f329(f262(x44821,x44821,a904),f329(f329(f18(x44821,a904,f917(x44821,a904)),f329(f329(f8(f917(x44821,f917(a904,a904)),f917(a904,f917(x44821,a904)),x44821),f7(x44821,a904,a904)),f329(f329(f8(f917(x44821,a904),f917(x44821,f917(a904,a904)),x44821),f329(f8(a904,f917(a904,a904),x44821),a327)),a326))),x44822)),f268(x44821,x44822))
% 192.21/192.21 [4527]E(f329(f329(f37(a909),x45271),f329(f329(f82(a909),f329(f108(a909),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(a909),x45271),f329(a117,f329(a117,f329(a117,x45272)))))
% 192.21/192.21 [4528]E(f46(a909,x45281,f329(f329(f82(a909),f329(f108(a909),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(a909,x45281,f329(a117,f329(a117,f329(a117,x45282)))))
% 192.21/192.21 [4529]E(f46(a909,f329(f329(f82(a909),f329(f108(a909),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(a909,f329(a117,f329(a117,f329(a117,x45291))),x45292))
% 192.21/192.21 [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))
% 192.21/192.21 [4542]E(f329(f329(f37(a909),f329(f329(f82(a909),f329(f108(a909),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(a909),f329(a117,f329(a117,f329(a117,x45421)))),x45422))
% 192.21/192.21 [4590]~E(f32(x45901,x45902),f329(a26,x45903))
% 192.21/192.21 [4591]~E(f31(x45911,x45912),f329(a26,x45913))
% 192.21/192.21 [4592]~E(f329(a26,x45921),f32(x45922,x45923))
% 192.21/192.21 [4593]~E(f329(a26,x45931),f31(x45932,x45933))
% 192.21/192.21 [4606]~E(f29(x46061,x46062,x46063),a25)
% 192.21/192.21 [4607]~E(f28(x46071,x46072,x46073),a25)
% 192.21/192.21 [4611]~E(f130(x46111,x46112,x46113),f124(x46111))
% 192.21/192.21 [3338]E(f329(f195(x33381,x33382),x33383),f125(x33381,x33382))
% 192.21/192.21 [3357]E(f329(f203(x33571,x33572),x33573),f329(f133(x33571),x33572))
% 192.21/192.21 [3435]E(f329(f329(f157(x34351,x34352),x34353),f118(x34351)),f118(x34352))
% 192.21/192.21 [3475]E(f329(f187(x34751,x34752,x34753),f2(a909)),x34752)
% 192.21/192.21 [3477]E(f329(f329(f184(x34771,x34772),x34773),f118(x34772)),f118(f916(x34771,x34772)))
% 192.21/192.21 [3492]E(f329(f192(f910(x34921)),f172(x34921,x34922,x34923)),x34922)
% 192.21/192.21 [3511]E(f87(x35111,f63(x35111,x35112,x35113)),f329(f64(x35111,x35112),x35113))
% 192.21/192.21 [3515]E(f248(x35151,x35152,f248(x35152,x35151,x35153)),x35153)
% 192.21/192.21 [3535]E(f329(f171(x35351),f172(x35351,x35352,x35353)),f172(x35351,x35352,x35353))
% 192.21/192.21 [3562]E(f143(x35621,x35622,f155(x35621,x35623)),f155(x35621,f143(x35621,x35622,x35623)))
% 192.21/192.21 [3580]E(f329(f256(f910(x35801),f910(x35801)),f169(x35801,x35802,x35803)),f329(f139(x35801,x35802),x35803))
% 192.21/192.21 [3622]E(f329(f329(f154(x36221),x36222),f172(x36221,x36223,x36222)),f172(x36221,f329(a117,x36223),x36222))
% 192.21/192.21 [3656]E(f188(x36561,x36562,x36563,f2(a909)),x36562)
% 192.21/192.21 [3657]E(f17(x36571,x36572,x36573,f2(a104)),x36572)
% 192.21/192.21 [3658]E(f19(x36581,x36582,x36583,f2(a104)),x36582)
% 192.21/192.21 [3665]E(f166(x36651,x36652,x36653,f118(x36651)),f118(x36652))
% 192.21/192.21 [3671]E(f329(f329(f167(x36711),f329(f329(f154(x36711),x36712),x36713)),f2(a909)),x36712)
% 192.21/192.21 [3701]E(f60(x37011,x37012,f118(x37011),x37013),f118(f916(x37011,x37012)))
% 192.21/192.21 [3722]P31(x37221,x37222,x37223,f191(f917(x37221,a904)))
% 192.21/192.21 [3825]E(f270(x38251,x38252,x38253),f329(f257(f917(a104,f917(a904,f913(f911(x38251)))),f916(a104,a104)),f42(x38251)))
% 192.21/192.21 [3882]E(f329(f74(x38821,x38822,x38821,x38823),f33(x38821)),x38823)
% 192.21/192.21 [4059]P1(f329(f329(f331(f916(x40591,x40591)),f329(f329(f257(x40591,x40591),x40592),x40592)),f309(x40591,x40593)))
% 192.21/192.21 [4668]~P1(f329(f329(f331(f916(f910(x46681),f910(x46681))),f329(f329(f257(f910(x46681),f910(x46681)),x46682),f118(x46681))),f148(x46681,x46683)))
% 192.21/192.21 [4669]~P1(f329(f329(f331(f916(f910(x46691),f910(x46691))),f329(f329(f257(f910(x46691),f910(x46691)),x46692),f118(x46691))),f150(x46691,x46693)))
% 192.21/192.21 [4670]~P1(f329(f329(f331(f916(f910(x46701),f910(x46701))),f329(f329(f257(f910(x46701),f910(x46701)),x46702),f118(x46701))),f160(x46701,x46703)))
% 192.21/192.21 [4671]~P1(f329(f329(f331(f916(f910(x46711),f910(x46711))),f329(f329(f257(f910(x46711),f910(x46711)),f118(x46711)),x46712)),f148(x46711,x46713)))
% 192.21/192.21 [4672]~P1(f329(f329(f331(f916(f910(x46721),f910(x46721))),f329(f329(f257(f910(x46721),f910(x46721)),f118(x46721)),x46722)),f160(x46721,x46723)))
% 192.21/192.21 [3409]E(f329(f329(f205(x34091),x34092),x34093),f206(x34091,f219(x34092,x34093)))
% 192.21/192.21 [3464]E(f329(f289(x34641,x34642),f329(f289(x34642,x34641),x34643)),x34643)
% 192.21/192.21 [3487]E(f329(f329(f184(x34871,x34872),f118(x34871)),x34873),f118(f916(x34871,x34872)))
% 192.21/192.21 [3490]E(f179(x34901,x34902,f329(f285(a909),x34903)),f329(f329(f178(x34901),x34903),x34902))
% 192.21/192.21 [3508]E(f155(x35081,f329(f139(x35081,x35082),x35083)),f329(f139(x35081,x35082),f155(x35081,x35083)))
% 192.21/192.21 [3509]E(f329(f287(x35091,x35092),f329(f289(x35092,x35091),x35093)),f329(f269(x35092,x35091),x35093))
% 192.21/192.21 [3510]E(f329(f269(x35101,x35102),f329(f289(x35102,x35101),x35103)),f329(f287(x35102,x35101),x35103))
% 192.21/192.21 [3528]E(f329(f139(x35281,x35282),f329(f171(x35281),x35283)),f329(f171(x35281),f329(f139(x35281,x35282),x35283)))
% 192.21/192.21 [3541]E(f329(f329(f141(x35411),x35412),f329(f174(x35411),x35413)),f329(f329(f141(x35411),f329(a117,x35412)),x35413))
% 192.21/192.21 [3557]E(f30(f28(x35571,x35572,x35573)),f329(f329(f82(a909),f30(x35573)),f329(a117,f2(a909))))
% 192.21/192.21 [3558]E(f329(f312(x35581,x35582,x35583),f191(f917(x35581,a904))),f191(f917(x35582,a904)))
% 192.21/192.21 [3559]E(f329(f288(x35591,x35592,x35593),f191(f917(x35591,a904))),f191(f917(x35592,a904)))
% 192.21/192.21 [3560]E(f329(f313(x35601,x35602,x35603),f191(f917(x35602,a904))),f191(f917(x35601,a904)))
% 192.21/192.21 [3561]E(f329(f313(x35611,x35612,x35613),f247(f917(x35612,a904))),f247(f917(x35611,a904)))
% 192.21/192.21 [3587]E(f329(f329(f311(x35871),x35872),f329(f175(x35871),x35873)),f329(f175(x35871),f143(x35871,x35872,x35873)))
% 192.21/192.21 [3675]E(f329(f192(a905),f28(x36751,x36752,x36753)),f329(f329(f82(a909),f329(f192(a905),x36753)),f329(a117,f2(a909))))
% 192.21/192.21 [3676]E(f329(f312(f916(x36761,x36762),x36762,f261(x36761,x36762)),x36763),f329(f287(x36761,x36762),x36763))
% 192.21/192.21 [3677]E(f329(f312(f916(x36771,x36772),x36771,f256(x36771,x36772)),x36773),f329(f269(x36771,x36772),x36773))
% 192.21/192.21 [3693]E(f329(f175(x36931),f172(x36931,f329(a117,x36932),x36933)),f329(f329(f311(x36931),x36933),f191(f917(x36931,a904))))
% 192.21/192.21 [3751]E(f329(f329(f257(x37511,x37512),f329(f256(x37511,x37512),x37513)),f329(f261(x37511,x37512),x37513)),x37513)
% 192.21/192.21 [3758]E(f329(f192(f911(x37581)),f130(x37581,x37582,x37583)),f329(f329(f82(a909),f329(f192(f911(x37581)),x37583)),f329(a117,f2(a909))))
% 192.21/192.21 [3759]E(f329(f329(f262(x37591,x37592,x37591),f16(x37591,x37592)),x37593),f329(f256(x37591,x37592),x37593))
% 192.21/192.21 [3838]E(f30(f29(x38381,x38382,x38383)),f329(f329(f82(a909),f329(f329(f82(a909),f30(x38382)),f30(x38383))),f329(a117,f2(a909))))
% 192.21/192.21 [3887]E(f329(f74(x38871,x38871,x38872,f33(x38871)),x38873),x38873)
% 192.21/192.21 [3894]E(f329(f329(f137(x38941),f172(x38941,x38942,x38943)),f329(f329(f154(x38941),x38943),f118(x38941))),f329(f329(f154(x38941),x38943),f172(x38941,x38942,x38943)))
% 192.21/192.21 [3995]E(f329(f192(a905),f29(x39951,x39952,x39953)),f329(f329(f82(a909),f329(f329(f82(a909),f329(f192(a905),x39952)),f329(f192(a905),x39953))),f329(a117,f2(a909))))
% 192.21/192.21 [4068]P1(f329(f329(f239(f917(x40681,a904)),f329(f175(x40681),f329(f139(x40681,x40682),x40683))),f329(f175(x40681),x40683)))
% 192.21/192.21 [4112]P1(f329(f329(f239(f917(x41121,a904)),f329(f175(x41121),f329(f329(f178(x41121),x41122),x41123))),f329(f175(x41121),x41123)))
% 192.21/192.21 [4113]P1(f329(f329(f239(f917(x41131,a904)),f329(f175(x41131),f329(f329(f141(x41131),x41132),x41133))),f329(f175(x41131),x41133)))
% 192.21/192.21 [4117]P1(f329(f329(f239(f917(x41171,a904)),f329(f175(x41171),f179(x41171,x41172,x41173))),f329(f175(x41171),x41172)))
% 192.21/192.21 [4118]P1(f329(f329(f239(f917(x41181,a904)),f329(f175(x41181),f173(x41181,x41182,x41183))),f329(f175(x41181),x41183)))
% 192.21/192.21 [4139]P31(f916(x41391,x41392),f916(x41392,x41391),f329(f262(x41391,x41392,f916(x41392,x41391)),f329(f7(x41392,x41391,f916(x41392,x41391)),f257(x41392,x41391))),x41393)
% 192.21/192.21 [4150]E(f329(f329(f329(f186(f910(x41501),f910(x41501)),f46(a909,x41502,f329(f192(f910(x41501)),x41503))),f170(x41501)),x41503),f329(f329(f329(f186(f910(x41501),f910(x41501)),x41502),f170(x41501)),x41503))
% 192.21/192.21 [4194]P1(f329(f329(f331(f916(f910(x41941),f910(x41941))),f329(f329(f257(f910(x41941),f910(x41941)),x41942),x41942)),f161(x41941,f309(x41941,x41943))))
% 192.21/192.21 [4333]E(f87(f916(x43331,x43332),f329(f329(f18(f916(x43331,x43332),x43332,a904),f329(f329(f8(x43331,f917(x43332,a904),f916(x43331,x43332)),x43333),f256(x43331,x43332))),f261(x43331,x43332))),f87(f916(x43331,x43332),f329(f262(x43331,x43332,a904),x43333)))
% 192.21/192.21 [4334]E(f92(f916(x43341,x43342),f329(f329(f18(f916(x43341,x43342),x43342,a904),f329(f329(f8(x43341,f917(x43342,a904),f916(x43341,x43342)),x43343),f256(x43341,x43342))),f261(x43341,x43342))),f92(f916(x43341,x43342),f329(f262(x43341,x43342,a904),x43343)))
% 192.21/192.21 [4367]E(f329(f329(f290(f916(a909,x43671),x43671),f321(a909,x43671,a245,x43672)),f329(f329(f18(x43671,x43671,f916(a909,x43671)),f329(f329(f8(a909,f917(x43671,f916(a909,x43671)),x43671),f257(a909,x43671)),x43673)),f5(x43671))),f323(x43671,x43673,x43672))
% 192.21/192.21 [4429]E(f329(f263(x44291,x44291,x44292,x44292,f5(x44291),f5(x44292)),x44293),x44293)
% 192.21/192.21 [4502]E(f329(f145(f910(f910(x45021)),f910(f910(x45021)),f137(f910(x45021)),f118(f910(x45021))),f329(f329(f157(f910(x45021),f910(f910(x45021))),f329(f329(f7(f910(x45021),f910(x45021),f910(f910(x45021))),f329(f329(f8(f917(x45021,f910(x45021)),f917(f910(x45021),f910(f910(x45021))),f910(x45021)),f157(x45021,f910(x45021))),f329(f7(x45021,f910(x45021),f910(x45021)),f154(x45021)))),x45022)),f56(x45021,x45023,x45022))),f56(x45021,f329(a117,x45023),x45022))
% 192.21/192.21 [4558]E(f227(a909,f916(x45581,f911(x45581)),f2(a909),f329(f262(x45581,f911(x45581),a909),f329(f329(f7(x45581,a909,f917(f911(x45581),a909)),f329(f329(f8(f917(f911(x45581),f917(a909,a909)),f917(a909,f917(f911(x45581),a909)),x45581),f7(f911(x45581),a909,a909)),f329(f329(f8(f917(f911(x45581),a909),f917(f911(x45581),f917(a909,a909)),x45581),f329(f8(a909,f917(a909,a909),f911(x45581)),f82(a909))),f329(f329(f7(x45581,f917(f911(x45581),a909),f917(f911(x45581),a909)),f329(f329(f8(f917(a909,a909),f917(f917(f911(x45581),a909),f917(f911(x45581),a909)),x45581),f8(a909,a909,f911(x45581))),f329(f329(f8(a909,f917(a909,a909),x45581),f82(a909)),x45582))),f129(x45581,x45582))))),f80(a909))),f329(f138(x45581),x45583)),f329(f129(x45581,x45582),x45583))
% 192.21/192.21 [4567]E(f329(f329(f88(a1,x45671),f222(f329(f329(f74(f916(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45672),f329(f329(f74(f916(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45673))),f329(f329(f18(a1,a1,x45671),f329(f329(f8(a1,f917(a1,x45671),a1),f205(x45671)),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f917(a1,a1),a1),f82(a1)),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f916(a1,a1),a1,x45671,f256(a1,a1)),f216(x45671)),x45672))),f329(f329(f7(a1,a1,a1),f37(a1)),f329(f329(f74(f916(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45672))))),f329(f329(f8(a1,a1,a1),f329(f83(a1),f329(f329(f74(f916(a1,a1),a1,x45671,f256(a1,a1)),f216(x45671)),x45673))),f329(f329(f7(a1,a1,a1),f37(a1)),f329(f329(f74(f916(a1,a1),a1,x45671,f261(a1,a1)),f216(x45671)),x45673)))))),f5(a1))),f234(x45671,x45672,x45673))
% 192.21/192.21 [4602]~E(f329(f329(f154(x46021),x46022),x46023),x46023)
% 192.21/192.21 [4609]~E(f329(f329(f154(x46091),x46092),x46093),f118(x46091))
% 192.21/192.21 [4627]~E(f329(f329(f311(x46271),x46272),x46273),f191(f917(x46271,a904)))
% 192.21/192.21 [4649]~E(f329(f312(x46491,f917(x46491,a904),x46492),x46493),f329(f310(x46491),x46493))
% 192.21/192.21 [3469]E(f329(f329(f162(x34691,f118(x34691)),x34692),x34693),f118(x34691))
% 192.21/192.21 [3470]E(f329(f144(x34701),f329(f329(f154(x34701),x34702),x34703)),x34702)
% 192.21/192.21 [3471]E(f329(f174(x34711),f329(f329(f154(x34711),x34712),x34713)),x34713)
% 192.21/192.21 [3514]E(f329(f329(f141(x35141),f80(a909)),f329(f329(f154(x35141),x35142),x35143)),x35143)
% 192.21/192.21 [3548]E(f119(x35481,f329(f329(f141(x35481),x35482),x35483)),f329(f329(f141(x35481),x35482),f119(x35481,x35483)))
% 192.21/192.21 [3550]E(f329(f329(f162(x35501,x35502),x35503),f329(f329(f167(x35501),x35502),x35503)),x35502)
% 192.21/192.21 [3571]E(f329(f329(f311(x35711),x35712),f329(f329(f311(x35711),x35712),x35713)),f329(f329(f311(x35711),x35712),x35713))
% 192.21/192.21 [3583]E(f329(f329(f311(x35831),x35832),f329(f175(x35831),x35833)),f329(f175(x35831),f329(f329(f154(x35831),x35832),x35833)))
% 192.21/192.21 [3585]E(f329(f329(f141(x35851),x35852),f329(f174(x35851),x35853)),f329(f174(x35851),f329(f329(f141(x35851),x35852),x35853)))
% 192.21/192.21 [3596]E(f329(f329(f178(x35961),f80(a909)),f329(f329(f154(x35961),x35962),x35963)),f329(f329(f154(x35961),x35962),f118(x35961)))
% 192.21/192.21 [3641]E(f329(f64(x36411,x36412),f329(f329(f311(x36411),x36413),f191(f917(x36411,a904)))),x36413)
% 192.21/192.21 [3683]E(f329(f329(f82(a909),x36831),f329(f329(f82(a909),x36832),x36833)),f329(f329(f82(a909),x36832),f329(f329(f82(a909),x36831),x36833)))
% 192.21/192.21 [3684]E(f329(f329(f82(a1),x36841),f329(f329(f82(a1),x36842),x36843)),f329(f329(f82(a1),x36842),f329(f329(f82(a1),x36841),x36843)))
% 192.21/192.21 [3689]E(f329(f329(f259(x36891,x36892),f191(f917(x36891,a904))),x36893),f191(f917(f916(x36891,x36892),a904)))
% 192.21/192.21 [3714]E(f329(f329(f115(f917(x37141,a904)),x37142),x37143),f329(f329(f115(f917(x37141,a904)),x37143),x37142))
% 192.21/192.21 [3715]E(f329(f329(f106(f917(x37151,a904)),x37152),x37153),f329(f329(f106(f917(x37151,a904)),x37153),x37152))
% 192.21/192.21 [3717]E(f329(f329(f137(x37171),x37172),f329(f329(f154(x37171),x37173),f118(x37171))),f329(f170(x37171),f329(f329(f154(x37171),x37173),x37172)))
% 192.21/192.21 [3718]E(f329(f329(f137(x37181),f329(f171(x37181),x37182)),f329(f171(x37181),x37183)),f329(f171(x37181),f329(f329(f137(x37181),x37183),x37182)))
% 192.21/192.21 [3728]E(f329(f174(x37281),f329(f329(f178(x37281),f329(a117,x37282)),x37283)),f329(f329(f178(x37281),x37282),f329(f174(x37281),x37283)))
% 192.21/192.21 [3736]P1(f329(f329(f331(x37361),x37362),f329(f329(f311(x37361),x37362),x37363)))
% 192.21/192.21 [3740]E(f329(f329(f41(x37401,f917(x37402,a904)),f191(f917(x37401,a904))),x37403),f247(f917(x37402,a904)))
% 192.21/192.21 [3743]E(f329(f288(x37431,x37431,f268(x37431,x37432)),x37433),f329(f329(f106(f917(x37431,a904)),x37432),x37433))
% 192.21/192.21 [3757]E(f329(f192(f910(x37571)),f329(f329(f154(x37571),x37572),x37573)),f329(f329(f82(a909),f329(f192(f910(x37571)),x37573)),f329(a117,f2(a909))))
% 192.21/192.21 [3761]E(f119(x37611,f329(f329(f137(x37611),x37612),f329(f329(f154(x37611),x37613),f118(x37611)))),x37612)
% 192.21/192.21 [3762]E(f147(x37621,f329(f329(f137(x37621),x37622),f329(f329(f154(x37621),x37623),f118(x37621)))),x37623)
% 192.21/192.21 [3771]E(f329(f329(f137(x37711),f329(f329(f178(x37711),x37712),x37713)),f329(f329(f141(x37711),x37712),x37713)),x37713)
% 192.21/192.21 [3780]E(f329(f329(f23(a909),f329(f329(f82(a909),x37801),x37802)),f329(f329(f82(a909),x37803),x37802)),f329(f329(f23(a909),x37801),x37803))
% 192.21/192.21 [3781]E(f329(f329(f23(a909),f329(f329(f82(a909),x37811),x37812)),f329(f329(f82(a909),x37811),x37813)),f329(f329(f23(a909),x37812),x37813))
% 192.21/192.21 [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)))
% 192.21/192.21 [3789]E(f329(f329(f82(a909),f329(f192(f910(x37891)),x37892)),f329(f192(f910(x37891)),x37893)),f329(f192(f910(x37891)),f329(f329(f137(x37891),x37892),x37893)))
% 192.21/192.21 [3792]E(f329(f329(f82(a909),f329(f192(f910(x37921)),x37922)),f329(f192(f910(x37921)),x37923)),f329(f192(f910(x37921)),f176(x37921,x37922,x37923)))
% 192.21/192.21 [3800]E(f329(f329(f115(f917(x38001,a904)),f329(f175(x38001),x38002)),f329(f175(x38001),x38003)),f329(f175(x38001),f329(f329(f137(x38001),x38002),x38003)))
% 192.21/192.21 [3801]E(f46(a909,f329(f329(f83(a909),x38011),x38012),f329(f329(f83(a909),x38011),x38013)),f329(f329(f83(a909),x38011),f46(a909,x38012,x38013)))
% 192.21/192.21 [3813]E(f329(f329(f178(x38131),f329(f329(f23(a909),x38132),f80(a909))),f329(f174(x38131),x38133)),f329(f174(x38131),f329(f329(f178(x38131),x38132),x38133)))
% 192.21/192.21 [3818]E(f329(f329(f106(f917(x38181,a904)),x38182),f329(f81(f917(x38181,a904)),x38183)),f329(f329(f23(f917(x38181,a904)),x38182),x38183))
% 192.21/192.21 [3819]E(f329(f329(f23(f917(x38191,a904)),x38192),f329(f81(f917(x38191,a904)),x38193)),f329(f329(f106(f917(x38191,a904)),x38192),x38193))
% 192.21/192.21 [3842]E(f329(f329(f259(x38421,x38422),x38423),f329(f16(f917(x38422,a904),x38421),f191(f917(x38422,a904)))),f191(f917(f916(x38421,x38422),a904)))
% 192.21/192.21 [3844]E(f329(f329(f82(a909),f329(f329(f83(a909),x38441),x38442)),f329(f329(f83(a909),x38441),x38443)),f329(f329(f83(a909),x38441),f329(f329(f82(a909),x38442),x38443)))
% 192.21/192.21 [3845]E(f329(f329(f23(a909),f329(f329(f83(a909),x38451),x38452)),f329(f329(f83(a909),x38451),x38453)),f329(f329(f83(a909),x38451),f329(f329(f23(a909),x38452),x38453)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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(a909),x38482),x38483)))
% 192.21/192.21 [3862]E(f329(f329(f40(x38621,f917(x38622,a904)),x38623),f329(f16(f917(x38622,a904),x38621),f191(f917(x38622,a904)))),f191(f917(x38622,a904)))
% 192.21/192.21 [3864]E(f46(a909,f329(f329(f83(a909),x38641),x38642),f329(f329(f83(a909),x38643),x38642)),f329(f329(f83(a909),f46(a909,x38641,x38643)),x38642))
% 192.21/192.21 [3868]E(f46(a1,f329(f329(f23(a1),x38681),f46(a1,x38682,x38683)),x38683),f46(a1,f329(f329(f23(a1),x38681),x38682),x38683))
% 192.21/192.21 [3869]E(f46(a1,f329(f329(f83(a1),x38691),f46(a1,x38692,x38693)),x38693),f46(a1,f329(f329(f83(a1),x38691),x38692),x38693))
% 192.21/192.21 [3870]P1(f329(f329(f239(f917(x38701,a904)),x38702),f329(f329(f311(x38701),x38703),x38702)))
% 192.21/192.21 [3947]E(f329(f329(f41(f917(x39471,a904),f917(x39471,a904)),x39472),f329(f115(f917(x39471,a904)),x39473)),f329(f329(f115(f917(x39471,a904)),x39473),f39(f917(x39471,a904),x39472)))
% 192.21/192.21 [3948]E(f329(f329(f40(f917(x39481,a904),f917(x39481,a904)),x39482),f329(f106(f917(x39481,a904)),x39483)),f329(f329(f106(f917(x39481,a904)),x39483),f38(f917(x39481,a904),x39482)))
% 192.21/192.21 [3959]E(f329(f175(x39591),f329(f329(f329(f186(f910(x39591),f910(x39591)),x39592),f170(x39591)),x39593)),f329(f175(x39591),x39593))
% 192.21/192.21 [3963]E(f329(f329(f178(x39631),f329(f192(f910(x39631)),f180(x39631,x39632,x39633))),x39633),f180(x39631,x39632,x39633))
% 192.21/192.21 [3967]E(f329(f192(f910(x39671)),f329(f329(f329(f186(f910(x39671),f910(x39671)),x39672),f170(x39671)),x39673)),f329(f192(f910(x39671)),x39673))
% 192.21/192.21 [3970]E(f329(f329(f262(x39701,x39702,x39702),f329(f16(f917(x39702,x39702),x39701),f5(x39702))),x39703),f329(f261(x39701,x39702),x39703))
% 192.21/192.21 [3977]E(f46(a1,f329(f329(f23(a1),f46(a1,x39771,x39772)),x39773),x39772),f46(a1,f329(f329(f23(a1),x39771),x39773),x39772))
% 192.21/192.21 [3978]E(f46(a1,f329(f329(f249(a1),f46(a1,x39781,x39782)),x39783),x39782),f46(a1,f329(f329(f249(a1),x39781),x39783),x39782))
% 192.21/192.21 [3981]E(f329(f329(f40(f917(f916(x39811,x39812),a904),f917(x39812,a904)),x39813),f287(x39811,x39812)),f329(f287(x39811,x39812),f38(f917(f916(x39811,x39812),a904),x39813)))
% 192.21/192.21 [3982]E(f329(f329(f40(f917(f916(x39821,x39822),a904),f917(x39821,a904)),x39823),f269(x39821,x39822)),f329(f269(x39821,x39822),f38(f917(f916(x39821,x39822),a904),x39823)))
% 192.21/192.21 [4006]E(f329(f74(x40061,x40061,x40061,x40062),f329(f329(f186(x40061,x40061),x40063),x40062)),f329(f329(f186(x40061,x40061),f329(a117,x40063)),x40062))
% 192.21/192.21 [4024]E(f329(f329(f141(x40241),f329(f329(f23(a909),f329(f192(f910(x40241)),x40242)),x40243)),f329(f171(x40241),x40242)),f329(f171(x40241),f329(f329(f178(x40241),x40243),x40242)))
% 192.21/192.21 [4025]E(f329(f329(f178(x40251),f329(f329(f23(a909),f329(f192(f910(x40251)),x40252)),x40253)),f329(f171(x40251),x40252)),f329(f171(x40251),f329(f329(f141(x40251),x40253),x40252)))
% 192.21/192.21 [4027]E(f329(f329(f82(a909),f329(f168(a909),f329(f329(f157(x40271,a909),x40272),x40273))),f329(f192(f910(x40271)),x40273)),f158(x40271,x40272,x40273))
% 192.21/192.21 [4046]E(f329(f170(x40461),f329(f329(f329(f186(f910(x40461),f910(x40461)),x40462),f170(x40461)),x40463)),f329(f329(f329(f186(f910(x40461),f910(x40461)),f329(a117,x40462)),f170(x40461)),x40463))
% 192.21/192.21 [4060]P1(f329(f329(f239(a909),f329(f192(f910(x40601)),f329(f139(x40601,x40602),x40603))),f329(f192(f910(x40601)),x40603)))
% 192.21/192.21 [4076]E(f329(f329(f115(f917(f917(x40761,a904),a904)),f329(f310(x40761),x40762)),f329(f312(f917(x40761,a904),f917(x40761,a904),f329(f311(x40761),x40763)),f329(f310(x40761),x40762))),f329(f310(x40761),f329(f329(f311(x40761),x40763),x40762)))
% 192.21/192.21 [4095]P30(x40951,x40952,f329(f329(f311(f908(x40951)),f329(f329(f329(f93(x40951),x40953),a25),x40953)),f191(f917(f908(x40951),a904))))
% 192.21/192.21 [4109]P1(f329(f329(f239(a909),f329(f192(f910(x41091)),f180(x41091,x41092,x41093))),f329(f192(f910(x41091)),x41093)))
% 192.21/192.21 [4116]E(f329(f269(x41161,x41162),f329(f267(f916(x41161,x41162)),f329(f262(x41161,x41162,a904),x41163))),f329(f267(x41161),f329(f329(f8(f917(x41162,a904),a904,x41161),f89(x41162)),x41163)))
% 192.21/192.21 [4128]E(f329(f312(a909,a909,f329(f329(f7(a909,a909,a909),f82(a909)),x41281)),f305(a909,x41282,x41283)),f305(a909,f329(f329(f82(a909),x41282),x41281),f329(f329(f82(a909),x41283),x41281)))
% 192.21/192.21 [4142]E(f329(f312(a909,a909,f329(f329(f7(a909,a909,a909),f82(a909)),x41421)),f329(f304(a909,x41422),x41423)),f329(f304(a909,f329(f329(f82(a909),x41422),x41421)),f329(f329(f82(a909),x41423),x41421)))
% 192.21/192.21 [4160]E(f329(f329(f184(x41601,x41602),f329(f329(f157(f916(x41601,x41602),x41601),f256(x41601,x41602)),x41603)),f329(f329(f157(f916(x41601,x41602),x41602),f261(x41601,x41602)),x41603)),x41603)
% 192.21/192.21 [4165]E(f329(f329(f82(a909),f329(f329(f83(a909),x41651),f46(a909,f329(f329(f37(a909),x41652),x41651),x41653))),f46(a909,x41652,x41651)),f46(a909,x41652,f329(f329(f83(a909),x41651),x41653)))
% 192.21/192.21 [4178]E(f329(f329(f137(x41781),x41782),f329(f145(f910(x41781),f910(x41781),f137(x41781),f118(x41781)),x41783)),f329(f145(f910(x41781),f910(x41781),f137(x41781),x41782),x41783))
% 192.21/192.21 [4199]P1(f329(f329(f331(f916(x41991,x41991)),f329(f329(f257(x41991,x41991),x41992),x41992)),f329(f329(f186(f916(x41991,x41991),a904),f2(a909)),x41993)))
% 192.21/192.21 [4204]E(f329(f267(x42041),f329(f329(f8(f917(x42042,a904),a904,x42041),f89(x42042)),f329(f7(x42042,x42041,a904),x42043))),f329(f287(x42042,x42041),f329(f267(f916(x42042,x42041)),f329(f262(x42042,x42041,a904),x42043))))
% 192.21/192.21 [4221]E(f329(f329(f115(f917(x42211,a904)),f329(f329(f40(a909,f917(x42211,a904)),f305(a909,f80(a909),x42212)),x42213)),f329(x42213,f2(a909))),f329(f329(f40(a909,f917(x42211,a904)),f329(f303(a909),x42212)),x42213))
% 192.21/192.21 [4236]E(f329(f145(f910(x42361),f910(x42361),f137(x42361),f118(x42361)),f329(f329(f157(f910(x42361),f910(x42361)),f139(x42361,x42362)),x42363)),f329(f139(x42361,x42362),f329(f145(f910(x42361),f910(x42361),f137(x42361),f118(x42361)),x42363)))
% 192.21/192.21 [4240]E(f329(f261(f910(x42401),f910(x42401)),f169(x42401,x42402,x42403)),f329(f139(x42401,f329(f74(a904,a904,x42401,a324),x42402)),x42403))
% 192.21/192.21 [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))
% 192.21/192.21 [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))
% 192.21/192.21 [4348]E(f87(f916(x43481,x43482),f329(f262(x43481,x43482,a904),f329(f329(f8(f917(x43482,f916(x43481,x43482)),f917(x43482,a904),x43481),f329(f8(f916(x43481,x43482),a904,x43482),x43483)),f257(x43481,x43482)))),f87(f916(x43481,x43482),x43483))
% 192.21/192.21 [4349]E(f92(f916(x43491,x43492),f329(f262(x43491,x43492,a904),f329(f329(f8(f917(x43492,f916(x43491,x43492)),f917(x43492,a904),x43491),f329(f8(f916(x43491,x43492),a904,x43492),x43493)),f257(x43491,x43492)))),f92(f916(x43491,x43492),x43493))
% 192.21/192.21 [4376]P1(f329(f329(f239(f917(x43761,a904)),f38(f917(x43761,a904),f329(f329(f106(f917(f917(x43761,a904),a904)),x43762),x43763))),f329(f329(f106(f917(x43761,a904)),f38(f917(x43761,a904),x43762)),f38(f917(x43761,a904),x43763))))
% 192.21/192.21 [4377]E(f329(f171(x43771),f329(f329(f329(f186(f910(x43771),f910(x43771)),f329(f329(f23(a909),f329(f192(f910(x43771)),x43772)),f46(a909,x43773,f329(f192(f910(x43771)),x43772)))),f170(x43771)),x43772)),f329(f329(f329(f186(f910(x43771),f910(x43771)),x43773),f170(x43771)),f329(f171(x43771),x43772)))
% 192.21/192.21 [4414]P1(f329(f329(f239(a909),f329(f192(f910(x44141)),f329(f329(f141(x44141),f329(f192(f910(x44141)),f180(x44141,x44142,x44143))),x44143))),f329(f192(f910(x44141)),x44143)))
% 192.21/192.21 [4661]~P1(f329(f63(x46611,x46612,f191(f917(x46611,a904))),x46613))
% 192.21/192.21 [4667]~P1(f329(f329(f331(f916(x46671,x46671)),f329(f329(f257(x46671,x46671),x46672),x46673)),f156(x46671,f118(f917(x46671,a909)))))
% 192.21/192.21 [3729]E(f329(f192(f910(x37291)),f329(f329(f178(x37291),x37292),x37293)),f329(f329(f237(a909),f329(f192(f910(x37291)),x37293)),x37292))
% 192.21/192.21 [3730]E(f329(f192(f910(x37301)),f329(f329(f141(x37301),x37302),x37303)),f329(f329(f23(a909),f329(f192(f910(x37301)),x37303)),x37302))
% 192.21/192.21 [3756]E(f329(f192(f910(f910(x37561))),f56(x37561,x37562,x37563)),f329(f329(f249(a909),f329(f192(f910(x37561)),x37563)),x37562))
% 192.21/192.21 [3773]E(f329(f329(f37(a909),f329(f329(f37(a909),x37731),x37732)),x37733),f329(f329(f37(a909),x37731),f329(f329(f83(a909),x37732),x37733)))
% 192.21/192.21 [3774]E(f329(f329(f82(a909),f329(f329(f82(a909),x37741),x37742)),x37743),f329(f329(f82(a909),x37741),f329(f329(f82(a909),x37742),x37743)))
% 192.21/192.21 [3775]E(f329(f329(f82(a1),f329(f329(f82(a1),x37751),x37752)),x37753),f329(f329(f82(a1),x37751),f329(f329(f82(a1),x37752),x37753)))
% 192.21/192.21 [3776]E(f329(f329(f23(a909),f329(f329(f23(a909),x37761),x37762)),x37763),f329(f329(f23(a909),x37761),f329(f329(f82(a909),x37762),x37763)))
% 192.21/192.21 [3777]E(f329(f329(f83(a909),f329(f329(f83(a909),x37771),x37772)),x37773),f329(f329(f83(a909),x37771),f329(f329(f83(a909),x37772),x37773)))
% 192.21/192.21 [3778]E(f329(f329(f83(a1),f329(f329(f83(a1),x37781),x37782)),x37783),f329(f329(f83(a1),x37781),f329(f329(f83(a1),x37782),x37783)))
% 192.21/192.21 [3779]E(f329(f329(f249(a1),f329(f329(f249(a1),x37791),x37792)),x37793),f329(f329(f249(a1),x37791),f329(f329(f83(a909),x37792),x37793)))
% 192.21/192.21 [3798]E(f165(x37981,f329(f329(f154(f917(x37981,a904)),x37982),x37983)),f177(x37981,x37982,f165(x37981,x37983)))
% 192.21/192.21 [3843]E(f329(f329(f23(a909),f329(f329(f23(a909),x38431),x38432)),x38433),f329(f329(f23(a909),f329(f329(f23(a909),x38431),x38433)),x38432))
% 192.21/192.21 [3851]E(f329(f329(f106(f917(x38511,a904)),x38512),f329(f329(f23(f917(x38511,a904)),x38513),x38512)),f191(f917(x38511,a904)))
% 192.21/192.21 [3855]E(f329(f329(f157(a909,x38551),f329(f16(x38551,a909),x38552)),f142(a909,f329(f304(a909,f2(a909)),x38553))),f172(x38551,x38553,x38552))
% 192.21/192.21 [3892]E(f39(f917(x38921,a904),f329(f329(f311(f917(x38921,a904)),x38922),x38923)),f329(f329(f106(f917(x38921,a904)),x38922),f39(f917(x38921,a904),x38923)))
% 192.21/192.21 [3893]E(f38(f917(x38931,a904),f329(f329(f311(f917(x38931,a904)),x38932),x38933)),f329(f329(f115(f917(x38931,a904)),x38932),f38(f917(x38931,a904),x38933)))
% 192.21/192.21 [3895]E(f172(x38951,f329(f192(f910(x38951)),f329(f139(x38951,f329(a326,x38952)),x38953)),x38952),f329(f139(x38951,f329(a326,x38952)),x38953))
% 192.21/192.21 [3897]E(f329(f329(f82(a909),f329(f329(f83(a909),x38971),x38972)),f329(f329(f83(a909),x38973),x38972)),f329(f329(f83(a909),f329(f329(f82(a909),x38971),x38973)),x38972))
% 192.21/192.21 [3898]E(f329(f329(f23(a909),f329(f329(f83(a909),x38981),x38982)),f329(f329(f83(a909),x38983),x38982)),f329(f329(f83(a909),f329(f329(f23(a909),x38981),x38983)),x38982))
% 192.21/192.21 [3899]E(f329(f329(f82(a1),f329(f329(f83(a1),x38991),x38992)),f329(f329(f83(a1),x38993),x38992)),f329(f329(f83(a1),f329(f329(f82(a1),x38991),x38993)),x38992))
% 192.21/192.21 [3901]E(f329(f329(f23(a1),f329(f329(f83(a1),x39011),x39012)),f329(f329(f83(a1),x39013),x39012)),f329(f329(f83(a1),f329(f329(f23(a1),x39011),x39013)),x39012))
% 192.21/192.21 [3902]E(f329(f329(f237(a909),f329(f329(f23(a909),x39021),x39022)),f329(f329(f23(a909),x39023),x39022)),f329(f329(f23(a909),f329(f329(f237(a909),x39021),x39023)),x39022))
% 192.21/192.21 [3924]E(f329(f329(f106(f917(f910(x39241),a904)),f163(x39241,x39242)),f163(x39241,x39243)),f163(x39241,f329(f329(f106(f917(x39241,a904)),x39242),x39243)))
% 192.21/192.21 [3927]E(f329(f329(f115(f917(x39271,a904)),x39272),f329(f329(f115(f917(x39271,a904)),x39272),x39273)),f329(f329(f115(f917(x39271,a904)),x39272),x39273))
% 192.21/192.21 [3928]E(f329(f329(f115(f917(x39281,a904)),x39282),f329(f329(f23(f917(x39281,a904)),x39283),x39282)),f329(f329(f115(f917(x39281,a904)),x39282),x39283))
% 192.21/192.21 [3929]E(f329(f329(f106(f917(x39291,a904)),x39292),f329(f329(f106(f917(x39291,a904)),x39292),x39293)),f329(f329(f106(f917(x39291,a904)),x39292),x39293))
% 192.21/192.21 [3941]E(f329(f329(f291(x39411,x39412,x39412),x39413),f309(x39412,f191(f917(f916(x39412,x39412),a904)))),x39413)
% 192.21/192.21 [3944]E(f329(f329(f115(f917(x39441,a904)),f329(f329(f311(x39441),x39442),f191(f917(x39441,a904)))),x39443),f329(f329(f311(x39441),x39442),x39443))
% 192.21/192.21 [3962]E(f329(f329(f23(a909),f329(f329(f23(a909),f329(a117,x39621)),x39622)),f329(a117,x39623)),f329(f329(f23(a909),f329(f329(f23(a909),x39621),x39622)),x39623))
% 192.21/192.21 [3990]E(f329(f329(f106(f917(f917(x39901,a904),a904)),f329(f310(x39901),x39902)),f329(f310(x39901),x39903)),f329(f310(x39901),f329(f329(f106(f917(x39901,a904)),x39902),x39903)))
% 192.21/192.21 [3993]E(f329(f329(f115(f917(x39931,a904)),f329(f81(f917(x39931,a904)),x39932)),x39933),f329(f81(f917(x39931,a904)),f329(f329(f23(f917(x39931,a904)),x39932),x39933)))
% 192.21/192.21 [4003]E(f329(f329(f311(x40031),x40032),f329(f329(f23(f917(x40031,a904)),x40033),f329(f329(f311(x40031),x40032),f191(f917(x40031,a904))))),f329(f329(f311(x40031),x40032),x40033))
% 192.21/192.21 [4013]P1(f329(f329(f239(f917(x40131,a904)),x40132),f329(f329(f115(f917(x40131,a904)),x40133),x40132)))
% 192.21/192.21 [4014]P1(f329(f329(f239(f917(x40141,a904)),x40142),f329(f329(f115(f917(x40141,a904)),x40142),x40143)))
% 192.21/192.21 [4018]E(f329(f329(f106(f917(x40181,a904)),f329(f81(f917(x40181,a904)),x40182)),f329(f81(f917(x40181,a904)),x40183)),f329(f81(f917(x40181,a904)),f329(f329(f115(f917(x40181,a904)),x40182),x40183)))
% 192.21/192.21 [4019]E(f329(f329(f115(f917(x40191,a904)),f329(f81(f917(x40191,a904)),x40192)),f329(f81(f917(x40191,a904)),x40193)),f329(f81(f917(x40191,a904)),f329(f329(f106(f917(x40191,a904)),x40192),x40193)))
% 192.21/192.21 [4032]P1(f329(f329(f239(f917(x40321,a904)),f329(f175(x40321),x40322)),f329(f175(x40321),f329(f329(f154(x40321),x40323),x40322))))
% 192.21/192.21 [4044]E(f329(f329(f115(f917(x40441,a904)),f329(f329(f23(f917(x40441,a904)),x40442),x40443)),f329(f329(f106(f917(x40441,a904)),x40442),x40443)),x40442)
% 192.21/192.21 [4097]E(f329(f329(f6(x40971,a1),f329(f329(f8(a909,a1,x40971),f105(a1)),x40972)),x40973),f329(f105(a1),f329(f329(f6(x40971,a909),x40972),x40973)))
% 192.21/192.21 [4098]E(f329(f329(f9(x40981,a1),f329(f329(f8(a909,a1,x40981),f105(a1)),x40982)),x40983),f329(f105(a1),f329(f329(f9(x40981,a909),x40982),x40983)))
% 192.21/192.21 [4144]E(f329(f329(f137(x41441),f180(x41441,x41442,x41443)),f329(f329(f141(x41441),f329(f192(f910(x41441)),f180(x41441,x41442,x41443))),x41443)),x41443)
% 192.21/192.21 [4148]E(f329(f81(f917(f916(x41481,x41482),a904)),f329(f329(f259(x41481,x41482),x41483),f329(f16(f917(x41482,a904),x41481),f247(f917(x41482,a904))))),f329(f329(f259(x41481,x41482),f329(f81(f917(x41481,a904)),x41483)),f329(f16(f917(x41482,a904),x41481),f247(f917(x41482,a904)))))
% 192.21/192.21 [4149]E(f329(f81(f917(f916(x41491,x41492),a904)),f329(f329(f259(x41491,x41492),f247(f917(x41491,a904))),f329(f16(f917(x41492,a904),x41491),x41493))),f329(f329(f259(x41491,x41492),f247(f917(x41491,a904))),f329(f16(f917(x41492,a904),x41491),f329(f81(f917(x41492,a904)),x41493))))
% 192.21/192.21 [4200]E(f329(f329(f40(f917(x42001,a904),f917(x42001,a904)),x42002),f329(f329(f7(f917(x42001,a904),f917(x42001,a904),f917(x42001,a904)),f106(f917(x42001,a904))),x42003)),f329(f329(f106(f917(x42001,a904)),f38(f917(x42001,a904),x42002)),x42003))
% 192.21/192.21 [4206]E(f329(f145(f910(x42061),f910(x42061),f137(x42061),f118(x42061)),f329(f329(f154(f910(x42061)),x42062),x42063)),f329(f329(f137(x42061),x42062),f329(f145(f910(x42061),f910(x42061),f137(x42061),f118(x42061)),x42063)))
% 192.21/192.21 [4227]E(f329(f329(f311(f917(x42271,a904)),f329(f288(x42271,x42271,x42272),f329(f329(f311(x42271),x42273),f191(f917(x42271,a904))))),f191(f917(f917(x42271,a904),a904))),f329(f329(f61(x42271),f329(f329(f311(x42271),x42273),f191(f917(x42271,a904)))),x42272))
% 192.21/192.21 [4237]E(f329(f329(f82(a909),f329(f329(f83(a909),x42371),f329(f329(f37(a909),x42372),x42373))),f329(f329(f37(a909),f329(f329(f83(a909),x42371),f46(a909,x42372,x42373))),x42373)),f329(f329(f37(a909),f329(f329(f83(a909),x42371),x42372)),x42373))
% 192.21/192.21 [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))
% 192.21/192.21 [4270]E(f329(f329(f23(f917(x42701,a904)),f329(f175(x42701),x42702)),f329(f329(f311(x42701),x42703),f191(f917(x42701,a904)))),f329(f175(x42701),f329(f139(x42701,f329(f329(f8(a904,a904,x42701),a324),f329(a326,x42703))),x42702)))
% 192.21/192.21 [4320]E(f329(f329(f137(x43201),f329(f145(f910(x43201),f910(x43201),f137(x43201),f118(x43201)),x43202)),f329(f145(f910(x43201),f910(x43201),f137(x43201),f118(x43201)),x43203)),f329(f145(f910(x43201),f910(x43201),f137(x43201),f118(x43201)),f329(f329(f137(f910(x43201)),x43202),x43203)))
% 192.21/192.21 [4323]E(f329(f329(f257(f910(x43231),f910(x43231)),f329(f139(x43231,x43232),x43233)),f329(f139(x43231,f329(f74(a904,a904,x43231,a324),x43232)),x43233)),f169(x43231,x43232,x43233))
% 192.21/192.21 [4326]E(f329(f329(f82(a909),f329(f329(f82(a909),f329(f329(f37(a909),x43261),x43262)),f329(f329(f37(a909),x43263),x43262))),f329(f329(f37(a909),f329(f329(f82(a909),f46(a909,x43261,x43262)),f46(a909,x43263,x43262))),x43262)),f329(f329(f37(a909),f329(f329(f82(a909),x43261),x43263)),x43262))
% 192.21/192.21 [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))
% 192.21/192.21 [4380]E(f329(f329(f106(f917(f910(x43801),a904)),f329(f329(f7(f910(x43801),f917(f910(x43801),a904),a904),f331(f910(x43801))),f164(x43801,x43802))),f329(f329(f7(f910(x43801),f917(f910(x43801),a904),a904),f331(f910(x43801))),f164(x43801,x43803))),f163(x43801,f329(f329(f106(f917(x43801,a904)),f329(f329(f7(x43801,f917(x43801,a904),a904),f331(x43801)),x43802)),f329(f329(f7(x43801,f917(x43801,a904),a904),f331(x43801)),x43803))))
% 192.21/192.21 [4392]E(f329(f267(x43921),f329(f329(f18(x43921,a904,a904),f329(f329(f8(a904,f917(a904,a904),x43921),a328),f329(f329(f7(x43921,x43921,a904),a326),x43922))),f329(f329(f7(x43921,f917(x43921,a904),a904),f331(x43921)),x43923))),f329(f329(f311(x43921),x43922),x43923))
% 192.21/192.21 [4412]E(f329(f329(f88(f910(f910(x44121)),f910(f910(x44121))),f55(x44121,x44122)),f329(f329(f18(f910(f910(x44121)),f910(f910(x44121)),f910(f910(x44121))),f329(f329(f8(f910(f910(x44121)),f917(f910(f910(x44121)),f910(f910(x44121))),f910(f910(x44121))),f137(f910(x44121))),f329(f157(f910(x44121),f910(x44121)),f329(f154(x44121),x44123)))),f5(f910(f910(x44121))))),f55(x44121,f329(f329(f154(x44121),x44123),x44122)))
% 192.21/192.21 [4415]E(f329(f267(x44151),f329(f329(f18(x44151,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44151),a328),f329(f329(f7(x44151,f917(x44151,a904),a904),f331(x44151)),x44152))),f329(f329(f7(x44151,f917(x44151,a904),a904),f331(x44151)),x44153))),f329(f329(f115(f917(x44151,a904)),x44152),x44153))
% 192.21/192.21 [4416]E(f329(f267(x44161),f329(f329(f18(x44161,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44161),a327),f329(f329(f7(x44161,f917(x44161,a904),a904),f331(x44161)),x44162))),f329(f329(f7(x44161,f917(x44161,a904),a904),f331(x44161)),x44163))),f329(f329(f106(f917(x44161,a904)),x44162),x44163))
% 192.21/192.21 [4505]E(f329(f329(f40(x45051,f917(f917(x45051,a904),a904)),x45052),f329(f329(f7(x45051,f917(f917(x45051,a904),a904),f917(f917(x45051,a904),a904)),f329(f329(f8(f917(x45051,a904),f917(f917(f917(x45051,a904),a904),f917(f917(x45051,a904),a904)),x45051),f311(f917(x45051,a904))),f329(f329(f8(f917(x45051,a904),f917(x45051,a904),x45051),f288(x45051,x45051,x45053)),f329(f329(f7(x45051,f917(x45051,a904),f917(x45051,a904)),f311(x45051)),f191(f917(x45051,a904)))))),f191(f917(f917(x45051,a904),a904)))),f329(f329(f61(x45051),x45052),x45053))
% 192.21/192.21 [4507]E(f329(f329(f205(x45071),f329(f329(f83(a1),f329(f329(f74(f916(a1,a1),a1,x45071,f256(a1,a1)),f216(x45071)),x45072)),f329(f329(f74(f916(a1,a1),a1,x45071,f256(a1,a1)),f216(x45071)),x45073))),f329(f329(f83(a1),f329(f329(f74(f916(a1,a1),a1,x45071,f261(a1,a1)),f216(x45071)),x45072)),f329(f329(f74(f916(a1,a1),a1,x45071,f261(a1,a1)),f216(x45071)),x45073))),f232(x45071,x45072,x45073))
% 192.21/192.21 [4510]E(f329(f267(f910(x45101)),f329(f329(f18(f910(x45101),a904,a904),f329(f329(f8(a904,f917(a904,a904),f910(x45101)),a327),f329(f329(f7(f910(x45101),a909,a904),f329(f329(f8(a909,f917(a909,a904),f910(x45101)),a326),f192(f910(x45101)))),x45102))),f329(f329(f7(f910(x45101),f917(x45101,a904),a904),f329(f329(f8(f917(x45101,a904),f917(f917(x45101,a904),a904),f910(x45101)),f239(f917(x45101,a904))),f175(x45101))),f329(f175(x45101),x45103)))),f329(f175(f910(x45101)),f56(x45101,x45102,x45103)))
% 192.21/192.21 [3915]E(f46(a909,f329(f329(f82(a909),f329(f329(f83(a909),x39151),x39152)),x39153),x39152),f46(a909,x39153,x39152))
% 192.21/192.21 [3961]E(f142(a909,f329(f304(a909,f329(f329(f82(a909),x39611),x39612)),x39613)),f329(f329(f141(a909),x39612),f142(a909,f329(f304(a909,x39611),x39613))))
% 192.21/192.21 [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(a909),x40021),x40022))),x40023))
% 192.21/192.21 [4009]E(f329(f329(f115(f917(x40091,a904)),f329(f329(f23(f917(x40091,a904)),x40092),x40093)),x40093),f329(f329(f115(f917(x40091,a904)),x40092),x40093))
% 192.21/192.21 [4010]E(f329(f329(f23(f917(x40101,a904)),f329(f329(f23(f917(x40101,a904)),x40102),x40103)),x40103),f329(f329(f23(f917(x40101,a904)),x40102),x40103))
% 192.21/192.21 [4033]E(f329(f329(f291(x40331,x40331,x40332),f309(x40331,f191(f917(f916(x40331,x40331),a904)))),x40333),x40333)
% 192.21/192.21 [4041]E(f329(f329(f115(f917(x40411,a904)),f329(f284(x40411),x40412)),f329(f284(x40411),x40413)),f329(f284(x40411),f329(f329(f115(f917(f916(x40411,x40411),a904)),x40412),x40413)))
% 192.21/192.21 [4051]E(f271(x40511,f329(f329(f154(f916(a104,x40511)),f329(f329(f257(a104,x40511),f2(a104)),x40512)),x40513)),f271(x40511,x40513))
% 192.21/192.21 [4053]E(f329(f329(f106(f917(x40531,a904)),f39(f917(x40531,a904),x40532)),f39(f917(x40531,a904),x40533)),f39(f917(x40531,a904),f329(f329(f115(f917(f917(x40531,a904),a904)),x40532),x40533)))
% 192.21/192.21 [4054]E(f329(f329(f115(f917(x40541,a904)),f38(f917(x40541,a904),x40542)),f38(f917(x40541,a904),x40543)),f38(f917(x40541,a904),f329(f329(f115(f917(f917(x40541,a904),a904)),x40542),x40543)))
% 192.21/192.21 [4091]E(f329(f329(f291(x40911,x40911,x40911),f329(f329(f186(f916(x40911,x40911),a904),x40912),x40913)),x40913),f329(f329(f186(f916(x40911,x40911),a904),f329(a117,x40912)),x40913))
% 192.21/192.21 [4136]P1(f329(f329(f239(f917(x41361,a904)),f329(f329(f23(f917(x41361,a904)),x41362),x41363)),x41362))
% 192.21/192.21 [4137]P1(f329(f329(f239(f917(x41371,a904)),f329(f329(f106(f917(x41371,a904)),x41372),x41373)),x41373))
% 192.21/192.21 [4138]P1(f329(f329(f239(f917(x41381,a904)),f329(f329(f106(f917(x41381,a904)),x41382),x41383)),x41382))
% 192.21/192.21 [4162]E(f309(x41621,f329(f329(f115(f917(f916(x41621,x41621),a904)),f309(x41621,x41622)),f309(x41621,x41623))),f309(x41621,f329(f329(f115(f917(f916(x41621,x41621),a904)),x41622),x41623)))
% 192.21/192.21 [4166]E(f38(f917(x41661,a904),f329(f329(f311(f917(x41661,a904)),x41662),f329(f329(f311(f917(x41661,a904)),x41663),f191(f917(f917(x41661,a904),a904))))),f329(f329(f115(f917(x41661,a904)),x41662),x41663))
% 192.21/192.21 [4167]E(f39(f917(x41671,a904),f329(f329(f311(f917(x41671,a904)),x41672),f329(f329(f311(f917(x41671,a904)),x41673),f191(f917(f917(x41671,a904),a904))))),f329(f329(f106(f917(x41671,a904)),x41672),x41673))
% 192.21/192.21 [4172]E(f329(f329(f291(x41721,x41721,x41721),f329(f329(f186(f916(x41721,x41721),a904),x41722),x41723)),x41723),f329(f329(f291(x41721,x41721,x41721),x41723),f329(f329(f186(f916(x41721,x41721),a904),x41722),x41723)))
% 192.21/192.21 [4241]E(f329(f329(f115(f917(x42411,a904)),f329(f267(x42411),f329(f329(f7(x42411,x42411,a904),a326),x42412))),x42413),f329(f329(f311(x42411),x42412),x42413))
% 192.21/192.21 [4243]E(f329(a109,f329(f329(f6(x42431,a1),f329(f329(f8(a909,a1,x42431),f105(a1)),x42432)),x42433)),f329(f329(f6(x42431,a909),x42432),x42433))
% 192.21/192.21 [4244]E(f329(a109,f329(f329(f9(x42441,a1),f329(f329(f8(a909,a1,x42441),f105(a1)),x42442)),x42443)),f329(f329(f9(x42441,a909),x42442),x42443))
% 192.21/192.21 [4317]E(f329(f159(f910(x43171),x43171,f329(f174(x43171),x43172),f329(f16(f917(f910(x43171),f910(x43171)),x43171),f329(f329(f7(f910(x43171),f910(x43171),f910(x43171)),f137(x43171)),x43172))),x43173),f329(f174(x43171),f329(f329(f137(x43171),x43173),x43172)))
% 192.21/192.21 [4345]P1(f329(f329(f239(f917(f917(x43451,a904),a904)),f329(f329(f115(f917(f917(x43451,a904),a904)),f329(f310(x43451),x43452)),f329(f310(x43451),x43453))),f329(f310(x43451),f329(f329(f115(f917(x43451,a904)),x43452),x43453))))
% 192.21/192.21 [4434]E(f329(f267(x44341),f329(f329(f18(x44341,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44341),a327),f329(f329(f7(x44341,f917(x44341,a904),a904),f331(x44341)),x44342))),f329(f329(f8(a904,a904,x44341),a324),f329(f329(f7(x44341,f917(x44341,a904),a904),f331(x44341)),x44343)))),f329(f329(f23(f917(x44341,a904)),x44342),x44343))
% 192.21/192.21 [4458]E(f329(f36(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,a909,a904),f240(a909)),f329(f192(f910(x44581)),x44582)))),f329(f329(f8(x44581,a904,a909),x44583),f329(f167(x44581),x44582))))),f329(f192(f910(x44581)),f329(f139(x44581,x44583),x44582)))
% 192.21/192.21 [4460]E(f329(f192(f910(x44601)),f179(x44601,x44602,x44603)),f329(f36(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,a909,a904),f240(a909)),f329(f192(f910(x44601)),x44602)))),f329(f329(f7(a909,f917(a909,a904),a904),f331(a909)),x44603)))))
% 192.21/192.21 [4556]E(f329(f329(f106(f917(f916(f910(x45561),f910(x45561)),a904)),f329(f312(f916(f916(x45561,f910(x45561)),f916(x45561,f910(x45561))),f916(f910(x45561),f910(x45561)),f263(f916(x45561,f910(x45561)),f910(x45561),f916(x45561,f910(x45561)),f910(x45561),f329(f262(x45561,f910(x45561),f910(x45561)),f154(x45561)),f329(f262(x45561,f910(x45561),f910(x45561)),f154(x45561)))),f321(x45561,f910(x45561),x45562,f329(f146(x45561,x45562),x45563)))),f329(f267(f916(f910(x45561),f910(x45561))),f329(f262(f910(x45561),f910(x45561),a904),f329(f329(f7(f910(x45561),f917(f910(x45561),a904),f917(f910(x45561),a904)),f329(f329(f8(f917(a904,a904),f917(f917(f910(x45561),a904),f917(f910(x45561),a904)),f910(x45561)),f8(a904,a904,f910(x45561))),f329(f329(f8(a904,f917(a904,a904),f910(x45561)),a327),f329(f329(f7(f910(x45561),a909,a904),f329(f329(f8(a909,f917(a909,a904),f910(x45561)),a326),f192(f910(x45561)))),f329(a117,x45563))))),f329(f329(f7(f910(x45561),a909,a904),f329(f329(f8(a909,f917(a909,a904),f910(x45561)),a326),f192(f910(x45561)))),f329(a117,x45563)))))),f329(f146(x45561,x45562),f329(a117,x45563)))
% 192.21/192.21 [4055]E(f46(a909,f329(a117,f329(f329(f82(a909),f329(f329(f83(a909),x40551),x40552)),x40553)),x40552),f46(a909,f329(a117,x40553),x40552))
% 192.21/192.21 [4303]E(f329(f267(x43031),f329(f329(f18(x43031,a904,a904),f329(f329(f8(a904,f917(a904,a904),x43031),a327),x43032)),x43033)),f329(f329(f106(f917(x43031,a904)),f329(f267(x43031),x43032)),f329(f267(x43031),x43033)))
% 192.21/192.21 [4304]E(f329(f267(x43041),f329(f329(f18(x43041,a904,a904),f329(f329(f8(a904,f917(a904,a904),x43041),a328),x43042)),x43043)),f329(f329(f115(f917(x43041,a904)),f329(f267(x43041),x43042)),f329(f267(x43041),x43043)))
% 192.21/192.21 [4306]E(f329(f329(f137(x43061),f329(f329(f141(x43061),f46(a909,x43062,f329(f192(f910(x43061)),x43063))),x43063)),f329(f329(f178(x43061),f46(a909,x43062,f329(f192(f910(x43061)),x43063))),x43063)),f329(f329(f329(f186(f910(x43061),f910(x43061)),x43062),f170(x43061)),x43063))
% 192.21/192.21 [4312]E(f329(f267(x43121),f329(f329(f18(x43121,a904,a904),f329(f329(f8(a904,f917(a904,a904),x43121),a332),x43122)),x43123)),f329(f329(f115(f917(x43121,a904)),f329(f81(f917(x43121,a904)),f329(f267(x43121),x43122))),f329(f267(x43121),x43123)))
% 192.21/192.21 [4328]E(f329(f329(f82(a909),f329(f192(f910(x43281)),f329(f139(x43281,x43282),x43283))),f329(f192(f910(x43281)),f329(f139(x43281,f329(f329(f8(a904,a904,x43281),a324),x43282)),x43283))),f329(f192(f910(x43281)),x43283))
% 192.21/192.21 [4351]P1(f329(f329(f239(f917(x43511,a904)),f329(f329(f115(f917(x43511,a904)),f39(f917(x43511,a904),x43512)),f39(f917(x43511,a904),x43513))),f39(f917(x43511,a904),f329(f329(f106(f917(f917(x43511,a904),a904)),x43512),x43513))))
% 192.21/192.21 [4365]E(f329(f175(x43651),f329(f139(x43651,f329(f329(f8(a904,a904,x43651),a324),f329(f329(f7(x43651,x43651,a904),a326),x43652))),x43653)),f329(f329(f23(f917(x43651,a904)),f329(f175(x43651),x43653)),f329(f329(f311(x43651),x43652),f191(f917(x43651,a904)))))
% 192.21/192.21 [4374]P1(f329(f329(f239(f917(f916(x43741,x43741),a904)),f329(f329(f115(f917(f916(x43741,x43741),a904)),f309(x43741,x43742)),f309(x43741,x43743))),f309(x43741,f329(f329(f115(f917(f916(x43741,x43741),a904)),x43742),x43743))))
% 192.21/192.21 [4397]E(f329(f329(f83(a909),f329(a117,f329(a117,f2(a909)))),f329(f329(f6(a909,a909),f329(f329(f8(a909,a909,a909),f329(f82(a909),x43971)),f329(f329(f7(a909,a909,a909),f83(a909)),x43972))),f329(f285(a909),x43973))),f329(f329(f83(a909),x43973),f329(f329(f82(a909),x43971),f329(f329(f82(a909),x43971),f329(f329(f83(a909),f329(f329(f23(a909),x43973),f80(a909))),x43972)))))
% 192.21/192.21 [4407]E(f329(f267(x44071),f329(f329(f18(x44071,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44071),a327),f329(f329(f7(x44071,f917(x44071,a904),a904),f331(x44071)),f329(f175(x44071),x44072)))),x44073)),f329(f175(x44071),f329(f139(x44071,x44073),x44072)))
% 192.21/192.21 [4555]E(f329(f267(x45551),f329(f329(f8(f917(a909,a904),a904,x45551),f89(a909)),f329(f329(f7(x45551,f917(a909,a904),f917(a909,a904)),f329(f329(f8(f917(a909,f917(a904,a904)),f917(f917(a909,a904),f917(a909,a904)),x45551),f18(a909,a904,a904)),f329(f329(f8(f917(a909,a904),f917(a909,f917(a904,a904)),x45551),f329(f8(a904,f917(a904,a904),a909),a327)),f329(f329(f7(x45551,f917(a909,x45551),f917(a909,a904)),f329(f329(f8(f917(x45551,a904),f917(f917(a909,x45551),f917(a909,a904)),x45551),f8(x45551,a904,a909)),a326)),f329(f167(x45551),x45552))))),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,a909,a904),f240(a909)),f329(f192(f910(x45551)),x45552)))),f329(f329(f7(a909,f917(a909,a904),a904),f331(a909)),x45553))))),f329(f175(x45551),f179(x45551,x45552,x45553)))
% 192.21/192.21 [4447]E(f329(f267(x44471),f329(f329(f18(x44471,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44471),a332),f329(f329(f8(a904,a904,x44471),a324),f329(f329(f7(x44471,x44471,a904),a326),x44472)))),x44473)),f329(f329(f311(x44471),x44472),f329(f267(x44471),x44473)))
% 192.21/192.21 [4479]E(f329(f329(f157(f916(x44791,a909),x44791),f256(x44791,a909)),f329(f139(f916(x44791,a909),f329(f329(f7(f916(x44791,a909),f917(a909,a904),a904),f329(f329(f8(a909,f917(f917(a909,a904),a904),f916(x44791,a909)),f331(a909)),f261(x44791,a909))),x44792)),f329(f329(f184(x44791,a909),x44793),f142(a909,f329(f304(a909,f2(a909)),f329(f192(f910(x44791)),x44793)))))),f179(x44791,x44793,x44792))
% 192.21/192.21 [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(a909,a1),f329(f329(f8(a1,a1,a909),f329(f82(a1),x45061)),f329(f329(f7(a909,a1,a1),f329(f329(f8(a1,f917(a1,a1),a909),f83(a1)),f105(a1))),x45062))),f329(f285(a909),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(a909),x45063),f80(a909)))),x45062)))))
% 192.21/192.21 [4548]E(f329(f267(f916(x45481,x45482)),f329(f262(x45481,x45482,a904),f329(f329(f7(x45481,f917(f916(x45482,x45481),a904),f917(x45482,a904)),f329(f329(f8(f917(x45482,f917(f917(f916(x45482,x45481),a904),a904)),f917(f917(f916(x45482,x45481),a904),f917(x45482,a904)),x45481),f7(x45482,f917(f916(x45482,x45481),a904),a904)),f329(f329(f8(f917(x45482,f916(x45482,x45481)),f917(x45482,f917(f917(f916(x45482,x45481),a904),a904)),x45481),f329(f8(f916(x45482,x45481),f917(f917(f916(x45482,x45481),a904),a904),x45482),f331(f916(x45482,x45481)))),f329(f7(x45482,x45481,f916(x45482,x45481)),f257(x45482,x45481))))),x45483))),f329(f289(x45482,x45481),x45483))
% 192.21/192.21 [4569]E(f329(f267(f910(x45691)),f329(f329(f8(f917(x45691,a904),a904,f910(x45691)),f89(x45691)),f329(f329(f8(f917(x45691,f917(f910(x45691),a904)),f917(x45691,a904),f910(x45691)),f329(f8(f917(f910(x45691),a904),a904,x45691),f89(f910(x45691)))),f329(f329(f7(f910(x45691),f917(x45691,f917(f910(x45691),a904)),f917(x45691,f917(f910(x45691),a904))),f329(f329(f8(f917(x45691,f917(f917(f910(x45691),a904),f917(f910(x45691),a904))),f917(f917(x45691,f917(f910(x45691),a904)),f917(x45691,f917(f910(x45691),a904))),f910(x45691)),f18(x45691,f917(f910(x45691),a904),f917(f910(x45691),a904))),f329(f329(f8(f917(x45691,f917(f910(x45691),f917(a904,a904))),f917(x45691,f917(f917(f910(x45691),a904),f917(f910(x45691),a904))),f910(x45691)),f329(f8(f917(f910(x45691),f917(a904,a904)),f917(f917(f910(x45691),a904),f917(f910(x45691),a904)),x45691),f18(f910(x45691),a904,a904))),f329(f329(f8(f917(x45691,f917(f910(x45691),a904)),f917(x45691,f917(f910(x45691),f917(a904,a904))),f910(x45691)),f329(f8(f917(f910(x45691),a904),f917(f910(x45691),f917(a904,a904)),x45691),f329(f8(a904,f917(a904,a904),f910(x45691)),a327))),f329(f329(f7(f910(x45691),f917(x45691,f917(f910(x45691),f910(x45691))),f917(x45691,f917(f910(x45691),a904))),f329(f329(f8(f917(f917(f910(x45691),f910(x45691)),f917(f910(x45691),a904)),f917(f917(x45691,f917(f910(x45691),f910(x45691))),f917(x45691,f917(f910(x45691),a904))),f910(x45691)),f8(f917(f910(x45691),f910(x45691)),f917(f910(x45691),a904),x45691)),f329(f329(f8(f917(f910(x45691),a904),f917(f917(f910(x45691),f910(x45691)),f917(f910(x45691),a904)),f910(x45691)),f8(f910(x45691),a904,f910(x45691))),a326))),f154(x45691)))))),f329(f329(f7(x45691,f917(f910(x45691),a904),f917(f910(x45691),a904)),f329(f329(f8(f917(a904,a904),f917(f917(f910(x45691),a904),f917(f910(x45691),a904)),x45691),f8(a904,a904,f910(x45691))),f329(f329(f8(a904,f917(a904,a904),x45691),a327),f329(f329(f7(x45691,f917(x45691,a904),a904),f331(x45691)),x45692)))),f329(f329(f7(f910(x45691),f917(f910(x45691),a904),a904),f331(f910(x45691))),x45693)))))),f177(x45691,x45692,x45693))
% 192.21/192.21 [4566]E(f329(f329(f88(a1,f916(a1,a1)),f329(f329(f23(a1),x45661),x45662)),f329(f329(f7(a1,f916(a1,a1),f916(a1,a1)),f329(f329(f18(a1,f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),f329(f329(f8(a904,f917(f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),a1),f99(f916(a1,a1))),f329(f239(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)))
% 192.21/192.21 [4595]~E(f31(x45951,x45952),f32(x45953,x45954))
% 192.21/192.21 [4614]~E(f329(a26,x46141),f29(x46142,x46143,x46144))
% 192.21/192.21 [4615]~E(f329(a26,x46151),f28(x46152,x46153,x46154))
% 192.21/192.21 [4616]~E(f29(x46161,x46162,x46163),f329(a26,x46164))
% 192.21/192.21 [4617]~E(f28(x46171,x46172,x46173),f329(a26,x46174))
% 192.21/192.21 [3612]E(f121(x36121,f329(x36122,x36123),f329(x36124,x36123)),f329(f207(x36121,x36122,x36124),x36123))
% 192.21/192.21 [3666]E(f329(f329(f250(x36661,x36662,x36663),x36664),f2(a909)),x36662)
% 192.21/192.21 [3706]E(f188(x37061,x37062,x37063,f329(a117,x37064)),f329(x37063,x37064))
% 192.21/192.21 [3748]E(f173(x37481,x37482,f173(x37481,x37483,x37484)),f173(x37481,x37483,f173(x37481,x37482,x37484)))
% 192.21/192.21 [3749]E(f130(x37491,x37492,f121(x37491,x37493,x37494)),f121(x37491,f130(x37491,x37492,x37493),x37494))
% 192.21/192.21 [3883]E(f329(f159(x38831,x38832,x38833,x38834),f118(x38832)),x38833)
% 192.21/192.21 [3884]E(f329(f145(x38841,x38842,x38843,x38844),f118(x38842)),x38844)
% 192.21/192.21 [3921]E(f329(f192(f914(x39211,x39212)),f224(x39211,x39212,x39213,x39214)),f2(a909))
% 192.21/192.21 [3946]E(f329(f262(x39461,x39462,x39463),f260(x39461,x39462,x39463,x39464)),x39464)
% 192.21/192.21 [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)))
% 192.21/192.21 [4074]E(f329(f329(f264(x40741,x40742,x40743,f916(x40742,x40743)),x40744),f257(x40742,x40743)),x40744)
% 192.21/192.21 [4084]E(f131(x40841,x40842,x40843,x40844,f124(x40842)),x40843)
% 192.21/192.21 [4090]E(f76(x40901,x40902,x40903,x40904,f329(x40903,x40904)),x40903)
% 192.21/192.21 [4358]P51(x43581,x43582,x43583,x43584,f191(f917(x43581,a904)),x43584)
% 192.21/192.21 [3415]E(f329(f329(f16(x34151,x34152),x34153),x34154),x34153)
% 192.21/192.21 [3696]E(f173(x36961,x36962,f329(f139(x36961,x36963),x36964)),f329(f139(x36961,x36963),f173(x36961,x36962,x36964)))
% 192.21/192.21 [3731]E(f329(f329(f65(x37311,x37312,x37313),x37314),f191(f917(x37311,a904))),x37314)
% 192.21/192.21 [3755]E(f329(f329(f167(x37551),f329(f329(f154(x37551),x37552),x37553)),f329(a117,x37554)),f329(f329(f167(x37551),x37553),x37554))
% 192.21/192.21 [3799]P34(x37991,f2(a909),f329(f329(f329(f93(x37991),x37992),f329(a26,x37993)),x37994))
% 192.21/192.21 [3823]E(f329(f329(x38231,x38232),f329(f187(x38233,x38234,x38231),x38232)),f329(f187(x38233,x38234,x38231),f329(a117,x38232)))
% 192.21/192.21 [3919]E(f329(f329(f162(x39191,f329(f329(f154(x39191),x39192),x39193)),f2(a909)),x39194),f329(f329(f154(x39191),x39194),x39193))
% 192.21/192.21 [3931]E(f329(f329(f40(f917(x39311,a904),f917(x39312,a904)),x39313),f312(x39311,x39312,x39314)),f329(f312(x39311,x39312,x39314),f38(f917(x39311,a904),x39313)))
% 192.21/192.21 [3932]E(f329(f329(f40(f917(x39321,a904),f917(x39322,a904)),x39323),f313(x39322,x39321,x39324)),f329(f313(x39322,x39321,x39324),f38(f917(x39321,a904),x39323)))
% 192.21/192.21 [4030]E(f329(f129(x40301,x40302),f130(x40301,x40303,x40304)),f329(f329(f82(a909),f329(f329(f82(a909),f329(x40302,x40303)),f329(f129(x40301,x40302),x40304))),f329(a117,f2(a909))))
% 192.21/192.21 [4050]E(f329(f145(x40501,x40502,f329(f7(x40502,x40501,x40501),x40503),x40504),f329(f171(x40502),f118(x40502))),x40504)
% 192.21/192.21 [4096]E(f78(x40961,x40962,x40963,x40964,f191(f917(x40961,a904))),x40963)
% 192.21/192.21 [4156]E(f227(x41561,f916(x41562,f911(x41562)),x41563,f329(f262(x41562,f911(x41562),x41561),x41564),f329(f138(x41562),f124(x41562))),x41563)
% 192.21/192.21 [4288]E(f329(f262(x42881,x42882,x42883),f329(f329(f8(f917(x42882,f916(x42881,x42882)),f917(x42882,x42883),x42881),f329(f8(f916(x42881,x42882),x42883,x42882),x42884)),f257(x42881,x42882))),x42884)
% 192.21/192.21 [3603]E(f329(f261(x36031,x36032),f329(f329(f257(x36031,x36032),x36033),x36034)),x36034)
% 192.21/192.21 [3604]E(f329(f256(x36041,x36042),f329(f329(f257(x36041,x36042),x36043),x36044)),x36043)
% 192.21/192.21 [3639]E(f329(f192(f910(x36391)),f329(f329(f162(x36391,x36392),x36393),x36394)),f329(f192(f910(x36391)),x36392))
% 192.21/192.21 [3640]E(f329(f192(f910(x36401)),f329(f329(f157(x36402,x36401),x36403),x36404)),f329(f192(f910(x36402)),x36404))
% 192.21/192.21 [3661]E(f329(f329(f141(x36611),f329(a117,x36612)),f329(f329(f154(x36611),x36613),x36614)),f329(f329(f141(x36611),x36612),x36614))
% 192.21/192.21 [3726]E(f329(f329(f178(x37261),x37262),f172(x37261,x37263,x37264)),f172(x37261,f329(f329(f237(a909),x37262),x37263),x37264))
% 192.21/192.21 [3727]E(f329(f329(f141(x37271),x37272),f172(x37271,x37273,x37274)),f172(x37271,f329(f329(f23(a909),x37273),x37272),x37274))
% 192.21/192.21 [3733]E(f329(f329(f311(x37331),x37332),f329(f329(f311(x37331),x37333),x37334)),f329(f329(f311(x37331),x37333),f329(f329(f311(x37331),x37332),x37334)))
% 192.21/192.21 [3737]E(f329(f329(f157(x37371,x37372),x37373),f119(x37371,x37374)),f119(x37372,f329(f329(f157(x37371,x37372),x37373),x37374)))
% 192.21/192.21 [3753]E(f329(f171(x37531),f329(f329(f157(x37532,x37531),x37533),x37534)),f329(f329(f157(x37532,x37531),x37533),f329(f171(x37532),x37534)))
% 192.21/192.21 [3754]E(f329(f329(f157(x37541,x37542),x37543),f329(f174(x37541),x37544)),f329(f174(x37542),f329(f329(f157(x37541,x37542),x37543),x37544)))
% 192.21/192.21 [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)))
% 192.21/192.21 [3772]E(f329(f175(x37721),f329(f329(f157(x37722,x37721),x37723),x37724)),f329(f312(x37722,x37721,x37723),f329(f175(x37722),x37724)))
% 192.21/192.21 [3785]E(f329(f329(f157(x37851,x37852),f329(f16(x37852,x37851),x37853)),x37854),f172(x37852,f329(f192(f910(x37851)),x37854),x37853))
% 192.21/192.21 [3822]E(f17(x38221,x38222,x38223,f329(a3,f329(a117,f329(a20,x38224)))),f329(x38223,x38224))
% 192.21/192.21 [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)))
% 192.21/192.21 [3839]E(f155(x38391,f329(f329(f157(x38392,x38391),x38393),f155(x38392,x38394))),f155(x38391,f329(f329(f157(x38392,x38391),x38393),x38394)))
% 192.21/192.21 [3854]E(f329(f289(x38541,x38541),f329(f329(f290(x38542,x38541),x38543),x38544)),f329(f329(f290(x38542,x38541),f329(f289(x38542,x38542),x38543)),x38544))
% 192.21/192.21 [3865]E(f329(f329(f291(x38651,x38652,x38653),x38654),f191(f917(f916(x38652,x38653),a904))),f191(f917(f916(x38651,x38653),a904)))
% 192.21/192.21 [3866]E(f329(f329(f178(x38661),f329(f329(f23(a909),x38662),x38663)),f329(f329(f141(x38661),x38663),x38664)),f329(f329(f141(x38661),x38663),f329(f329(f178(x38661),x38662),x38664)))
% 192.21/192.21 [3885]E(f329(f329(f137(x38851),f172(x38851,x38852,x38853)),f172(x38851,x38854,x38853)),f172(x38851,f329(f329(f82(a909),x38852),x38854),x38853))
% 192.21/192.21 [3886]E(f329(f329(f329(f281(x38861),x38862),x38863),x38864),f329(f257(f917(a104,f917(a904,f913(f911(x38861)))),f916(a104,a104)),f329(f43(x38861),x38862)))
% 192.21/192.21 [3912]E(f39(f917(x39121,a904),f329(f312(x39122,f917(x39121,a904),x39123),x39124)),f329(f329(f41(x39122,f917(x39121,a904)),x39124),x39123))
% 192.21/192.21 [3913]E(f38(f917(x39131,a904),f329(f312(x39132,f917(x39131,a904),x39133),x39134)),f329(f329(f40(x39132,f917(x39131,a904)),x39134),x39133))
% 192.21/192.21 [3914]E(f329(f192(f910(f916(x39141,x39142))),f329(f329(f184(x39141,x39142),x39143),x39144)),f329(f329(f237(a909),f329(f192(f910(x39141)),x39143)),f329(f192(f910(x39142)),x39144)))
% 192.21/192.21 [3916]E(f329(f313(x39161,x39162,x39163),f329(f81(f917(x39162,a904)),x39164)),f329(f81(f917(x39161,a904)),f329(f313(x39161,x39162,x39163),x39164)))
% 192.21/192.21 [3966]E(f329(f313(x39661,x39662,x39663),f329(f267(x39662),x39664)),f329(f267(x39661),f329(f329(f8(x39662,a904,x39661),x39664),x39663)))
% 192.21/192.21 [3984]E(f329(f329(f167(x39841),f329(f329(f137(x39841),x39842),f329(f329(f154(x39841),x39843),x39844))),f329(f192(f910(x39841)),x39842)),x39843)
% 192.21/192.21 [4007]E(f329(f312(x40071,x40072,x40073),f329(f313(x40071,x40072,x40073),x40074)),f329(f329(f106(f917(x40072,a904)),x40074),f329(f312(x40071,x40072,x40073),f247(f917(x40071,a904)))))
% 192.21/192.21 [4026]P1(f329(f329(f331(x40261),f329(x40262,x40263)),f329(f312(x40264,x40261,x40262),f247(f917(x40264,a904)))))
% 192.21/192.21 [4034]E(f19(x40341,x40342,x40343,f329(a3,f329(a117,f329(a20,x40344)))),f329(f329(x40343,x40344),f19(x40341,x40342,x40343,x40344)))
% 192.21/192.21 [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)))
% 192.21/192.21 [4040]E(f329(f329(f259(x40401,x40402),f329(f175(x40401),x40403)),f329(f16(f917(x40402,a904),x40401),f329(f175(x40402),x40404))),f329(f175(f916(x40401,x40402)),f60(x40401,x40402,x40403,x40404)))
% 192.21/192.21 [4052]E(f158(x40521,x40522,f329(f329(f154(x40521),x40523),x40524)),f329(f329(f82(a909),f329(f329(f82(a909),f329(x40522,x40523)),f158(x40521,x40522,x40524))),f329(a117,f2(a909))))
% 192.21/192.21 [4065]E(f188(f910(x40651),f329(f329(f154(x40651),x40652),x40653),f329(f329(f7(a909,f910(x40651),f910(x40651)),f141(x40651)),x40653),x40654),f329(f329(f141(x40651),x40654),f329(f329(f154(x40651),x40652),x40653)))
% 192.21/192.21 [4066]P31(x40661,f916(x40662,x40661),f333(x40663,x40664,x40662,x40661),f329(f329(f40(x40662,f917(x40661,a904)),x40664),x40663))
% 192.21/192.21 [4075]E(f329(f329(f23(f917(x40751,a904)),f329(f329(f23(f917(x40751,a904)),x40752),x40753)),f329(f329(f311(x40751),x40754),f191(f917(x40751,a904)))),f329(f329(f23(f917(x40751,a904)),x40752),f329(f329(f311(x40751),x40754),x40753)))
% 192.21/192.21 [4088]E(f329(f329(f186(f917(x40881,x40882),f917(x40881,x40882)),x40883),f74(x40882,x40882,x40881,x40884)),f74(x40882,x40882,x40881,f329(f329(f186(x40882,x40882),x40883),x40884)))
% 192.21/192.21 [4161]E(f329(f329(f329(f186(f910(x41611),f910(x41611)),x41612),f170(x41611)),f329(f329(f329(f186(f910(x41611),f910(x41611)),x41613),f170(x41611)),x41614)),f329(f329(f329(f186(f910(x41611),f910(x41611)),f329(f329(f82(a909),x41612),x41613)),f170(x41611)),x41614))
% 192.21/192.21 [4246]P1(f329(f329(f239(f917(x42461,a904)),f329(f175(x42461),f329(f329(f162(x42461,x42462),x42463),x42464))),f329(f329(f311(x42461),x42464),f329(f175(x42461),x42462))))
% 192.21/192.21 [4278]E(f329(f329(f40(f917(x42781,a904),f917(f916(x42781,x42782),a904)),x42783),f329(f329(f7(f917(x42781,a904),f917(x42781,f917(x42782,a904)),f917(f916(x42781,x42782),a904)),f259(x42781,x42782)),x42784)),f329(f329(f259(x42781,x42782),f38(f917(x42781,a904),x42783)),x42784))
% 192.21/192.21 [4316]E(f213(x43161,x43162,x43163,f329(f74(x43162,f917(a104,f917(a104,f917(f916(a104,a104),f917(a104,f911(x43162))))),x43161,f208(x43162)),x43164)),f214(x43161,x43162,x43164,x43163))
% 192.21/192.21 [4331]E(f210(x43311,x43312,x43313,f329(f74(x43312,f917(a104,f917(a104,f917(f916(a104,a104),f917(a104,f911(f913(x43312)))))),x43311,f209(x43312)),x43314)),f211(x43311,x43312,x43314,x43313))
% 192.21/192.21 [4336]P1(f329(f67(x43361,x43362,x43363,x43364,f191(f917(x43361,a904))),x43364))
% 192.21/192.21 [4375]E(f329(f329(f40(x43751,f917(x43752,a904)),x43753),f329(f329(f7(x43751,f917(x43752,a904),f917(x43752,a904)),f329(f329(f8(x43752,f917(f917(x43752,a904),f917(x43752,a904)),x43751),f311(x43752)),x43754)),f191(f917(x43752,a904)))),f329(f312(x43751,x43752,x43754),x43753))
% 192.21/192.21 [4382]P1(f329(f329(f239(f917(x43821,a904)),f329(f287(x43822,x43821),f329(f329(f106(f917(f916(x43822,x43821),a904)),x43823),x43824))),f329(f329(f106(f917(x43821,a904)),f329(f287(x43822,x43821),x43823)),f329(f287(x43822,x43821),x43824))))
% 192.21/192.21 [4383]P1(f329(f329(f239(f917(x43831,a904)),f329(f269(x43831,x43832),f329(f329(f106(f917(f916(x43831,x43832),a904)),x43833),x43834))),f329(f329(f106(f917(x43831,a904)),f329(f269(x43831,x43832),x43833)),f329(f269(x43831,x43832),x43834))))
% 192.21/192.21 [4443]P1(f329(f329(f239(f917(f916(x44431,x44432),a904)),f329(f312(x44432,f916(x44431,x44432),f333(x44433,x44434,x44431,x44432)),f329(f329(f40(x44431,f917(x44432,a904)),x44434),x44433))),f329(f329(f259(x44431,x44432),x44434),x44433)))
% 192.21/192.21 [4444]E(f329(f123(x44441,f916(x44441,x44442),x44443),f329(f329(f8(f917(x44442,f911(f916(x44441,x44442))),f911(f916(x44441,x44442)),x44441),f123(x44442,f916(x44441,x44442),x44444)),f329(f329(f8(f917(x44442,f916(x44441,x44442)),f917(x44442,f911(f916(x44441,x44442))),x44441),f329(f8(f916(x44441,x44442),f911(f916(x44441,x44442)),x44442),f133(f916(x44441,x44442)))),f257(x44441,x44442)))),f134(x44441,x44442,x44443,x44444))
% 192.21/192.21 [4445]E(f279(x44451,x44452,x44453,f329(f74(x44452,f917(a104,f917(a104,f917(f916(a104,a104),f916(f917(a104,f917(a904,f913(f911(x44452)))),f916(a104,a104))))),x44451,f281(x44452)),x44454)),f282(x44451,x44452,x44454,x44453))
% 192.21/192.21 [4485]E(f87(f916(x44851,x44852),f329(f262(x44851,x44852,a904),f329(f329(f7(x44851,f917(x44852,a904),f917(x44852,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x44852,a904),f917(x44852,a904)),x44851),f8(a904,a904,x44852)),f329(f329(f8(a904,f917(a904,a904),x44851),a327),f329(a326,x44853)))),f329(a326,x44854)))),f329(f329(f257(x44851,x44852),x44853),x44854))
% 192.21/192.21 [4486]E(f92(f916(x44861,x44862),f329(f262(x44861,x44862,a904),f329(f329(f7(x44861,f917(x44862,a904),f917(x44862,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x44862,a904),f917(x44862,a904)),x44861),f8(a904,a904,x44862)),f329(f329(f8(a904,f917(a904,a904),x44861),a327),f329(a326,x44863)))),f329(a326,x44864)))),f329(f329(f257(x44861,x44862),x44863),x44864))
% 192.21/192.21 [4557]E(f329(f329(f262(f910(x45571),f910(x45571),f916(f910(x45571),f910(x45571))),f329(f329(f18(f910(x45571),f917(f910(x45571),f916(f910(x45571),f910(x45571))),f917(f910(x45571),f916(f910(x45571),f910(x45571)))),f329(f329(f8(f917(f910(x45571),f917(f916(f910(x45571),f910(x45571)),f916(f910(x45571),f910(x45571)))),f917(f917(f910(x45571),f916(f910(x45571),f910(x45571))),f917(f910(x45571),f916(f910(x45571),f910(x45571)))),f910(x45571)),f18(f910(x45571),f916(f910(x45571),f910(x45571)),f916(f910(x45571),f910(x45571)))),f329(f329(f8(f917(f910(x45571),f916(f910(x45571),f910(x45571))),f917(f910(x45571),f917(f916(f910(x45571),f910(x45571)),f916(f910(x45571),f910(x45571)))),f910(x45571)),f329(f8(f916(f910(x45571),f910(x45571)),f917(f916(f910(x45571),f910(x45571)),f916(f910(x45571),f910(x45571))),f910(x45571)),f329(f99(f916(f910(x45571),f910(x45571))),f329(x45572,x45573)))),f329(f329(f8(f910(x45571),f917(f910(x45571),f916(f910(x45571),f910(x45571))),f910(x45571)),f257(f910(x45571),f910(x45571))),f329(f154(x45571),x45573))))),f329(f329(f7(f910(x45571),f917(f910(x45571),f910(x45571)),f917(f910(x45571),f916(f910(x45571),f910(x45571)))),f329(f329(f8(f917(f910(x45571),f916(f910(x45571),f910(x45571))),f917(f917(f910(x45571),f910(x45571)),f917(f910(x45571),f916(f910(x45571),f910(x45571)))),f910(x45571)),f8(f910(x45571),f916(f910(x45571),f910(x45571)),f910(x45571))),f257(f910(x45571),f910(x45571)))),f329(f154(x45571),x45573)))),f169(x45571,x45572,x45574)),f169(x45571,x45572,f329(f329(f154(x45571),x45573),x45574)))
% 192.21/192.21 [3678]E(f329(f192(f908(x36781)),f329(f329(f329(f93(x36781),x36782),x36783),x36784)),f2(a909))
% 192.21/192.21 [3802]E(f329(f329(f178(x38021),x38022),f329(f329(f178(x38021),x38023),x38024)),f329(f329(f178(x38021),f329(f329(f237(a909),x38022),x38023)),x38024))
% 192.21/192.21 [3803]E(f329(f329(f141(x38031),x38032),f329(f329(f141(x38031),x38033),x38034)),f329(f329(f141(x38031),f329(f329(f82(a909),x38032),x38033)),x38034))
% 192.21/192.21 [3814]E(f329(f329(f137(x38141),f329(f329(f154(x38141),x38142),x38143)),x38144),f329(f329(f154(x38141),x38142),f329(f329(f137(x38141),x38143),x38144)))
% 192.21/192.21 [3815]E(f329(f329(f137(x38151),f329(f329(f137(x38151),x38152),x38153)),x38154),f329(f329(f137(x38151),x38152),f329(f329(f137(x38151),x38153),x38154)))
% 192.21/192.21 [3896]E(f329(f329(f167(x38961),f329(f329(f154(x38961),x38962),x38963)),x38964),f188(x38961,x38962,f329(f167(x38961),x38963),x38964))
% 192.21/192.21 [3905]E(f329(f329(f186(x39051,x39051),x39052),f329(f329(f186(x39051,x39051),x39053),x39054)),f329(f329(f186(x39051,x39051),f329(f329(f83(a909),x39053),x39052)),x39054))
% 192.21/192.21 [3934]E(f329(f329(f115(f917(x39341,a904)),x39342),f329(f329(f311(x39341),x39343),x39344)),f329(f329(f311(x39341),x39343),f329(f329(f115(f917(x39341,a904)),x39342),x39344)))
% 192.21/192.21 [3949]E(f329(f329(f329(f186(x39491,x39491),x39492),x39493),f329(x39493,x39494)),f329(x39493,f329(f329(f329(f186(x39491,x39491),x39492),x39493),x39494)))
% 192.21/192.21 [3957]E(f329(f329(f291(x39571,x39572,x39573),f191(f917(f916(x39571,x39572),a904))),x39574),f191(f917(f916(x39571,x39573),a904)))
% 192.21/192.21 [3972]E(f329(f329(f115(f917(x39721,a904)),f329(f329(f311(x39721),x39722),x39723)),x39724),f329(f329(f311(x39721),x39722),f329(f329(f115(f917(x39721,a904)),x39723),x39724)))
% 192.21/192.21 [3991]E(f329(f36(f916(x39911,x39912)),f329(f329(f259(x39911,x39912),x39913),f329(f16(f917(x39912,a904),x39911),x39914))),f329(f329(f83(a909),f329(f36(x39911),x39913)),f329(f36(x39912),x39914)))
% 192.21/192.21 [3998]E(f329(f329(f106(f917(x39981,a904)),f329(f329(f311(x39981),x39982),x39983)),f329(f329(f311(x39981),x39982),x39984)),f329(f329(f311(x39981),x39982),f329(f329(f106(f917(x39981,a904)),x39983),x39984)))
% 192.21/192.21 [4011]E(f329(f329(f115(f917(x40111,a904)),x40112),f329(f329(f115(f917(x40111,a904)),x40113),x40114)),f329(f329(f115(f917(x40111,a904)),x40113),f329(f329(f115(f917(x40111,a904)),x40112),x40114)))
% 192.21/192.21 [4012]E(f329(f329(f106(f917(x40121,a904)),x40122),f329(f329(f106(f917(x40121,a904)),x40123),x40124)),f329(f329(f106(f917(x40121,a904)),x40123),f329(f329(f106(f917(x40121,a904)),x40122),x40124)))
% 192.21/192.21 [4022]E(f65(x40221,x40222,f329(f329(f8(x40222,f917(x40222,x40222),x40221),x40223),x40224)),f329(f66(x40222,x40221,x40223),x40224))
% 192.21/192.21 [4031]E(f182(x40311,f329(f329(f157(f910(x40312),f910(x40311)),f329(f157(x40312,x40311),x40313)),x40314)),f329(f329(f157(f910(x40312),f910(x40311)),f329(f157(x40312,x40311),x40313)),f182(x40312,x40314)))
% 192.21/192.21 [4049]E(f329(f145(f910(x40491),f910(x40491),f137(x40491),f118(x40491)),f329(f329(f157(x40492,f910(x40491)),x40493),x40494)),f166(x40492,x40491,x40493,x40494))
% 192.21/192.21 [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(a909),x41082),x41084)),x41083))
% 192.21/192.21 [4131]E(f329(f329(f106(f917(x41311,a904)),f329(f329(f115(f917(x41311,a904)),x41312),x41313)),f329(f329(f115(f917(x41311,a904)),x41312),x41314)),f329(f329(f115(f917(x41311,a904)),x41312),f329(f329(f106(f917(x41311,a904)),x41313),x41314)))
% 192.21/192.21 [4132]E(f329(f329(f106(f917(x41321,a904)),f329(f329(f23(f917(x41321,a904)),x41322),x41323)),f329(f329(f23(f917(x41321,a904)),x41322),x41324)),f329(f329(f23(f917(x41321,a904)),x41322),f329(f329(f115(f917(x41321,a904)),x41323),x41324)))
% 192.21/192.21 [4133]E(f329(f329(f115(f917(x41331,a904)),f329(f329(f23(f917(x41331,a904)),x41332),x41333)),f329(f329(f23(f917(x41331,a904)),x41332),x41334)),f329(f329(f23(f917(x41331,a904)),x41332),f329(f329(f106(f917(x41331,a904)),x41333),x41334)))
% 192.21/192.21 [4134]E(f329(f329(f115(f917(x41341,a904)),f329(f329(f106(f917(x41341,a904)),x41342),x41343)),f329(f329(f106(f917(x41341,a904)),x41342),x41344)),f329(f329(f106(f917(x41341,a904)),x41342),f329(f329(f115(f917(x41341,a904)),x41343),x41344)))
% 192.21/192.21 [4135]E(f329(f329(f23(f917(x41351,a904)),f329(f329(f106(f917(x41351,a904)),x41352),x41353)),f329(f329(f106(f917(x41351,a904)),x41352),x41354)),f329(f329(f106(f917(x41351,a904)),x41352),f329(f329(f23(f917(x41351,a904)),x41353),x41354)))
% 192.21/192.21 [4140]E(f329(f36(f916(x41401,x41402)),f329(f329(f259(x41401,x41402),f329(f329(f311(x41401),x41403),f191(f917(x41401,a904)))),f329(f16(f917(x41402,a904),x41401),x41404))),f329(f36(x41402),x41404))
% 192.21/192.21 [4175]E(f329(f329(f41(x41751,f917(x41752,a904)),x41753),f329(f329(f8(f917(x41752,a904),f917(x41752,a904),x41751),f81(f917(x41752,a904))),x41754)),f329(f81(f917(x41752,a904)),f329(f329(f40(x41751,f917(x41752,a904)),x41753),x41754)))
% 192.21/192.21 [4176]E(f329(f329(f40(x41761,f917(x41762,a904)),x41763),f329(f329(f8(f917(x41762,a904),f917(x41762,a904),x41761),f81(f917(x41762,a904))),x41764)),f329(f81(f917(x41762,a904)),f329(f329(f41(x41761,f917(x41762,a904)),x41763),x41764)))
% 192.21/192.21 [4192]E(f329(f329(f291(x41921,x41921,x41921),f329(f329(f186(f916(x41921,x41921),a904),x41922),x41923)),f329(f329(f186(f916(x41921,x41921),a904),x41924),x41923)),f329(f329(f186(f916(x41921,x41921),a904),f329(f329(f82(a909),x41922),x41924)),x41923))
% 192.21/192.21 [4222]E(f329(f329(f41(x42221,f917(f917(x42222,a904),a904)),x42223),f329(f329(f8(f917(x42222,a904),f917(f917(x42222,a904),a904),x42221),f310(x42222)),x42224)),f329(f310(x42222),f329(f329(f41(x42221,f917(x42222,a904)),x42223),x42224)))
% 192.21/192.21 [4251]E(f329(f329(f40(f917(x42511,a904),f917(x42512,a904)),x42513),f329(f329(f7(f917(x42511,a904),f917(x42511,f917(x42512,a904)),f917(x42512,a904)),f40(x42511,f917(x42512,a904))),x42514)),f329(f329(f40(x42511,f917(x42512,a904)),f38(f917(x42511,a904),x42513)),x42514))
% 192.21/192.21 [4252]E(f329(f329(f41(f917(x42521,a904),f917(x42522,a904)),x42523),f329(f329(f7(f917(x42521,a904),f917(x42521,f917(x42522,a904)),f917(x42522,a904)),f41(x42521,f917(x42522,a904))),x42524)),f329(f329(f41(x42521,f917(x42522,a904)),f38(f917(x42521,a904),x42523)),x42524))
% 192.21/192.21 [4257]E(f329(f329(f157(x42571,x42572),x42573),f329(f145(f910(x42571),f910(x42571),f137(x42571),f118(x42571)),x42574)),f329(f145(f910(x42572),f910(x42572),f137(x42572),f118(x42572)),f329(f329(f157(f910(x42571),f910(x42572)),f329(f157(x42571,x42572),x42573)),x42574)))
% 192.21/192.21 [4259]E(f188(f910(x42591),f118(x42591),f329(f329(f8(f910(x42591),f910(x42591),a909),f329(f154(x42591),x42592)),f329(f329(f7(a909,f910(x42591),f910(x42591)),f178(x42591)),x42593)),x42594),f329(f329(f178(x42591),x42594),f329(f329(f154(x42591),x42592),x42593)))
% 192.21/192.21 [4297]P1(f329(f329(f239(f917(x42971,a904)),f329(f312(x42972,x42971,x42973),f329(f313(x42972,x42971,x42973),x42974))),x42974))
% 192.21/192.21 [4299]E(f329(f312(f916(x42991,x42992),f916(x42992,x42991),f329(f262(x42991,x42992,f916(x42992,x42991)),f329(f7(x42992,x42991,f916(x42992,x42991)),f257(x42992,x42991)))),f329(f329(f259(x42991,x42992),x42993),f329(f16(f917(x42992,a904),x42991),x42994))),f329(f329(f259(x42992,x42991),x42994),f329(f16(f917(x42991,a904),x42992),x42993)))
% 192.21/192.21 [4308]E(f329(f329(f40(x43081,f917(x43082,a904)),x43083),f329(f329(f8(f917(x43081,a904),f917(x43082,a904),x43081),f288(x43081,x43082,x43084)),f329(f329(f7(x43081,f917(x43081,a904),f917(x43081,a904)),f311(x43081)),f191(f917(x43081,a904))))),f329(f288(x43081,x43082,x43084),x43083))
% 192.21/192.21 [4309]E(f329(f329(f40(x43091,f917(x43092,a904)),x43093),f329(f329(f8(f917(x43091,a904),f917(x43092,a904),x43091),f313(x43092,x43091,x43094)),f329(f329(f7(x43091,f917(x43091,a904),f917(x43091,a904)),f311(x43091)),f191(f917(x43091,a904))))),f329(f313(x43092,x43091,x43094),x43093))
% 192.21/192.21 [4396]E(f329(f329(f115(f917(x43961,a904)),f329(f329(f115(f917(x43961,a904)),f329(f329(f106(f917(x43961,a904)),x43962),x43963)),f329(f329(f106(f917(x43961,a904)),x43963),x43964))),f329(f329(f106(f917(x43961,a904)),x43964),x43962)),f329(f329(f106(f917(x43961,a904)),f329(f329(f106(f917(x43961,a904)),f329(f329(f115(f917(x43961,a904)),x43962),x43963)),f329(f329(f115(f917(x43961,a904)),x43963),x43964))),f329(f329(f115(f917(x43961,a904)),x43964),x43962)))
% 192.21/192.21 [4459]E(f329(f145(f910(x44591),f910(x44591),f137(x44591),f118(x44591)),f329(f329(f157(x44592,f910(x44591)),f329(f329(f7(x44592,f910(x44591),f910(x44591)),f329(f329(f8(x44591,f917(f910(x44591),f910(x44591)),x44592),f154(x44591)),x44593)),f118(x44591))),x44594)),f329(f329(f157(x44592,x44591),x44593),x44594))
% 192.21/192.21 [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,f917(x44691,x44691)),f329(f329(f8(a904,f917(x44691,f917(x44691,x44691)),a1),f99(x44691)),a196)),x44693)),f329(f329(f8(a909,x44691,a1),x44694),a109))),f188(x44691,x44693,x44694,f329(f108(a909),x44692)))
% 192.21/192.21 [4500]E(f329(f267(x45001),f329(f329(f8(f917(x45002,a904),a904,x45001),f89(x45002)),f329(f329(f8(f917(x45002,a904),f917(x45002,a904),x45001),f329(f18(x45002,a904,a904),f329(f329(f8(a904,f917(a904,a904),x45002),a327),f329(f329(f7(x45002,f917(x45002,a904),a904),f331(x45002)),x45003)))),f329(f7(x45002,x45001,a904),x45004)))),f329(f288(x45002,x45001,f329(f267(f916(x45002,x45001)),f329(f262(x45002,x45001,a904),x45004))),x45003))
% 192.21/192.21 [4666]~P1(f329(f329(f191(f917(x46661,f917(x46662,a904))),x46663),x46664))
% 192.21/192.21 [3960]E(f329(f329(f167(x39601),f329(f329(f137(x39601),x39602),x39603)),f329(f329(f82(a909),f329(f192(f910(x39601)),x39602)),x39604)),f329(f329(f167(x39601),x39603),x39604))
% 192.21/192.21 [3965]E(f329(f329(f141(x39651),x39652),f329(f329(f178(x39651),f329(f329(f82(a909),x39653),x39652)),x39654)),f329(f329(f178(x39651),x39653),f329(f329(f141(x39651),x39652),x39654)))
% 192.21/192.21 [4063]E(f329(f329(f115(f917(x40631,a904)),f329(f287(x40632,x40631),x40633)),f329(f287(x40632,x40631),x40634)),f329(f287(x40632,x40631),f329(f329(f115(f917(f916(x40632,x40631),a904)),x40633),x40634)))
% 192.21/192.21 [4064]E(f329(f329(f115(f917(x40641,a904)),f329(f269(x40641,x40642),x40643)),f329(f269(x40641,x40642),x40644)),f329(f269(x40641,x40642),f329(f329(f115(f917(f916(x40641,x40642),a904)),x40643),x40644)))
% 192.21/192.21 [4069]E(f329(f329(f115(f917(x40691,a904)),f329(f329(f115(f917(x40691,a904)),x40692),x40693)),x40694),f329(f329(f115(f917(x40691,a904)),x40692),f329(f329(f115(f917(x40691,a904)),x40693),x40694)))
% 192.21/192.21 [4070]E(f329(f329(f23(f917(x40701,a904)),f329(f329(f106(f917(x40701,a904)),x40702),x40703)),x40704),f329(f329(f106(f917(x40701,a904)),x40702),f329(f329(f23(f917(x40701,a904)),x40703),x40704)))
% 192.21/192.21 [4071]E(f329(f329(f106(f917(x40711,a904)),f329(f329(f106(f917(x40711,a904)),x40712),x40713)),x40714),f329(f329(f106(f917(x40711,a904)),x40712),f329(f329(f106(f917(x40711,a904)),x40713),x40714)))
% 192.21/192.21 [4110]E(f329(f329(f115(f917(f916(x41101,x41102),a904)),f329(f289(x41102,x41101),x41103)),f329(f289(x41102,x41101),x41104)),f329(f289(x41102,x41101),f329(f329(f115(f917(f916(x41102,x41101),a904)),x41103),x41104)))
% 192.21/192.21 [4111]E(f329(f329(f106(f917(f916(x41111,x41112),a904)),f329(f289(x41112,x41111),x41113)),f329(f289(x41112,x41111),x41114)),f329(f289(x41112,x41111),f329(f329(f106(f917(f916(x41112,x41111),a904)),x41113),x41114)))
% 192.21/192.21 [4124]E(f329(f329(f115(f917(x41241,f917(x41242,a904))),f248(x41242,x41241,x41243)),f248(x41242,x41241,x41244)),f248(x41242,x41241,f329(f329(f115(f917(x41242,f917(x41241,a904))),x41243),x41244)))
% 192.21/192.21 [4125]E(f329(f329(f106(f917(x41251,f917(x41252,a904))),f248(x41252,x41251,x41253)),f248(x41252,x41251,x41254)),f248(x41252,x41251,f329(f329(f106(f917(x41252,f917(x41251,a904))),x41253),x41254)))
% 192.21/192.21 [4179]E(f329(f329(f106(f917(x41791,a904)),f329(f329(f115(f917(x41791,a904)),x41792),x41793)),f329(f329(f115(f917(x41791,a904)),x41794),x41793)),f329(f329(f115(f917(x41791,a904)),f329(f329(f106(f917(x41791,a904)),x41792),x41794)),x41793))
% 192.21/192.21 [4180]E(f329(f329(f115(f917(x41801,a904)),f329(f329(f23(f917(x41801,a904)),x41802),x41803)),f329(f329(f23(f917(x41801,a904)),x41804),x41803)),f329(f329(f23(f917(x41801,a904)),f329(f329(f115(f917(x41801,a904)),x41802),x41804)),x41803))
% 192.21/192.21 [4181]E(f329(f329(f115(f917(x41811,a904)),f329(f329(f106(f917(x41811,a904)),x41812),x41813)),f329(f329(f106(f917(x41811,a904)),x41814),x41813)),f329(f329(f106(f917(x41811,a904)),f329(f329(f115(f917(x41811,a904)),x41812),x41814)),x41813))
% 192.21/192.21 [4182]E(f329(f329(f23(f917(x41821,a904)),f329(f329(f106(f917(x41821,a904)),x41822),x41823)),f329(f329(f106(f917(x41821,a904)),x41824),x41823)),f329(f329(f106(f917(x41821,a904)),f329(f329(f23(f917(x41821,a904)),x41822),x41824)),x41823))
% 192.21/192.21 [4183]E(f329(f329(f23(f917(x41831,a904)),f329(f329(f106(f917(x41831,a904)),x41832),x41833)),f329(f329(f106(f917(x41831,a904)),x41834),x41833)),f329(f329(f23(f917(x41831,a904)),f329(f329(f106(f917(x41831,a904)),x41832),x41833)),x41834))
% 192.21/192.21 [4195]E(f329(f329(f23(f917(x41951,a904)),f329(f329(f23(f917(x41951,a904)),x41952),f329(f329(f311(x41951),x41953),f191(f917(x41951,a904))))),x41954),f329(f329(f23(f917(x41951,a904)),x41952),f329(f329(f311(x41951),x41953),x41954)))
% 192.21/192.21 [4248]E(f329(f329(f115(f917(x42481,a904)),f329(f329(f311(x42481),x42482),f329(f329(f311(x42481),x42483),f191(f917(x42481,a904))))),f329(f284(x42481),x42484)),f329(f284(x42481),f329(f329(f311(f916(x42481,x42481)),f329(f329(f257(x42481,x42481),x42482),x42483)),x42484)))
% 192.21/192.21 [4273]E(f329(f329(f40(a909,f917(x42731,a904)),f329(f303(a909),x42732)),f329(f329(f8(a909,f917(x42731,a904),a909),x42733),f329(f329(f7(a909,a909,a909),f82(a909)),x42734))),f329(f329(f40(a909,f917(x42731,a904)),f305(a909,x42734,f329(f329(f82(a909),x42732),x42734))),x42733))
% 192.21/192.21 [4274]E(f177(x42741,f329(f288(x42741,x42741,x42742),f329(f329(f311(x42741),x42743),f191(f917(x42741,a904)))),f329(f288(f910(x42741),f910(x42741),f161(x42741,x42742)),f329(f329(f311(f910(x42741)),x42744),f191(f917(f910(x42741),a904))))),f329(f288(f910(x42741),f910(x42741),f161(x42741,x42742)),f329(f329(f311(f910(x42741)),f329(f329(f154(x42741),x42743),x42744)),f191(f917(f910(x42741),a904)))))
% 192.21/192.21 [4338]E(f329(f267(x43381),f329(f329(f7(x43381,f917(x43382,a904),a904),f329(f329(f8(x43382,f917(f917(x43382,a904),a904),x43381),f331(x43382)),x43383)),x43384)),f329(f313(x43381,x43382,x43383),x43384))
% 192.21/192.21 [4428]E(f329(f267(x44281),f329(f329(f7(x44281,f917(f916(x44282,x44281),a904),a904),f329(f329(f8(f916(x44282,x44281),f917(f917(f916(x44282,x44281),a904),a904),x44281),f331(f916(x44282,x44281))),f329(f257(x44282,x44281),x44283))),x44284)),f329(f288(x44282,x44281,x44284),f329(f329(f311(x44282),x44283),f191(f917(x44282,a904)))))
% 192.21/192.21 [4442]E(f329(f329(f157(f916(x44421,a909),x44421),f256(x44421,a909)),f329(f139(f916(x44421,a909),f329(f329(f8(a909,a904,f916(x44421,a909)),x44422),f329(f329(f8(a909,a909,f916(x44421,a909)),a117),f261(x44421,a909)))),f329(f329(f184(x44421,a909),x44423),x44424))),f329(f329(f157(f916(x44421,a909),x44421),f256(x44421,a909)),f329(f139(f916(x44421,a909),f329(f329(f8(a909,a904,f916(x44421,a909)),x44422),f261(x44421,a909))),f329(f329(f184(x44421,a909),x44423),f329(f329(f157(a909,a909),a117),x44424)))))
% 192.21/192.21 [4451]P1(f329(f329(f239(f917(f917(x44511,a904),a904)),f329(f329(f40(x44512,f917(f917(x44511,a904),a904)),x44513),f329(f329(f8(f917(x44511,a904),f917(f917(x44511,a904),a904),x44512),f310(x44511)),x44514))),f329(f310(x44511),f329(f329(f40(x44512,f917(x44511,a904)),x44513),x44514))))
% 192.21/192.21 [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,f917(x44921,x44921)),f329(f329(f8(a904,f917(x44921,f917(x44921,x44921)),a1),f99(x44921)),a196)),x44923)),f329(f329(f18(a1,x44921,x44921),f329(f329(f8(a909,f917(x44921,x44921),a1),x44924),a109)),f329(f329(f8(a909,x44921,a1),f187(x44921,x44923,x44924)),a109)))),f329(f187(x44921,x44923,x44924),f329(f108(a909),x44922)))
% 192.21/192.21 [4516]E(f329(f267(f916(x45161,x45162)),f329(f262(x45161,x45162,a904),f329(f329(f7(x45161,f917(x45162,a904),f917(x45162,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x45162,a904),f917(x45162,a904)),x45161),f8(a904,a904,x45162)),f329(f329(f8(a904,f917(a904,a904),x45161),a327),f329(f329(f7(x45161,f917(x45161,a904),a904),f331(x45161)),x45163)))),f329(f329(f7(x45162,f917(x45162,a904),a904),f331(x45162)),x45164)))),f233(x45161,x45162,x45163,x45164))
% 192.21/192.21 [4552]E(f329(f329(f40(x45521,f917(f916(x45521,x45522),a904)),x45523),f329(f329(f18(x45521,f917(x45522,f917(f916(x45521,x45522),a904)),f917(f916(x45521,x45522),a904)),f329(f329(f8(f917(x45522,a904),f917(f917(x45522,f917(f916(x45521,x45522),a904)),f917(f916(x45521,x45522),a904)),x45521),f40(x45522,f917(f916(x45521,x45522),a904))),x45524)),f329(f329(f7(x45521,f917(f916(x45521,x45522),a904),f917(x45522,f917(f916(x45521,x45522),a904))),f329(f329(f8(f917(x45522,f917(f917(f916(x45521,x45522),a904),f917(f916(x45521,x45522),a904))),f917(f917(f916(x45521,x45522),a904),f917(x45522,f917(f916(x45521,x45522),a904))),x45521),f7(x45522,f917(f916(x45521,x45522),a904),f917(f916(x45521,x45522),a904))),f329(f329(f8(f917(x45522,f916(x45521,x45522)),f917(x45522,f917(f917(f916(x45521,x45522),a904),f917(f916(x45521,x45522),a904))),x45521),f329(f8(f916(x45521,x45522),f917(f917(f916(x45521,x45522),a904),f917(f916(x45521,x45522),a904)),x45522),f311(f916(x45521,x45522)))),f257(x45521,x45522)))),f191(f917(f916(x45521,x45522),a904))))),f329(f329(f259(x45521,x45522),x45523),x45524))
% 192.21/192.21 [4119]E(f329(f329(f137(x41191),f329(f329(f178(x41191),x41192),x41193)),f329(f329(f178(x41191),f329(f329(f23(a909),x41192),f329(f192(f910(x41191)),x41193))),x41194)),f329(f329(f178(x41191),x41192),f329(f329(f137(x41191),x41193),x41194)))
% 192.21/192.21 [4120]E(f329(f329(f137(x41201),f329(f329(f141(x41201),x41202),x41203)),f329(f329(f141(x41201),f329(f329(f23(a909),x41202),f329(f192(f910(x41201)),x41203))),x41204)),f329(f329(f141(x41201),x41202),f329(f329(f137(x41201),x41203),x41204)))
% 192.21/192.21 [4169]E(f329(f329(f82(a909),f329(f329(f83(a909),x41691),x41692)),f329(f329(f82(a909),f329(f329(f83(a909),x41693),x41692)),x41694)),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f82(a909),x41691),x41693)),x41692)),x41694))
% 192.21/192.21 [4314]E(f92(x43141,f329(f329(f7(x43141,x43142,a904),f329(f329(f8(x43142,f917(x43142,a904),x43141),a326),x43143)),x43144)),f329(f94(x43141,x43142,f247(f917(x43141,a904)),x43143),x43144))
% 192.21/192.21 [4362]P1(f329(f329(f239(f917(x43621,a904)),f329(f329(f23(f917(x43621,a904)),f329(f287(x43622,x43621),x43623)),f329(f287(x43622,x43621),x43624))),f329(f287(x43622,x43621),f329(f329(f23(f917(f916(x43622,x43621),a904)),x43623),x43624))))
% 192.21/192.21 [4363]P1(f329(f329(f239(f917(x43631,a904)),f329(f329(f23(f917(x43631,a904)),f329(f269(x43631,x43632),x43633)),f329(f269(x43631,x43632),x43634))),f329(f269(x43631,x43632),f329(f329(f23(f917(f916(x43631,x43632),a904)),x43633),x43634))))
% 192.21/192.21 [4471]E(f329(f329(f82(a1),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x44711),x44712)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x44713),x44714)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),f329(f329(f82(a909),x44711),x44713)),f329(f329(f82(a909),x44712),x44714))),f191(f917(f916(a909,a909),a904))))))
% 192.21/192.21 [4511]E(f329(f329(f83(a1),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x45111),x45112)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x45113),x45114)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),f329(f329(f82(a909),f329(f329(f83(a909),x45111),x45113)),f329(f329(f83(a909),x45112),x45114))),f329(f329(f82(a909),f329(f329(f83(a909),x45111),x45114)),f329(f329(f83(a909),x45112),x45113)))),f191(f917(f916(a909,a909),a904))))))
% 192.21/192.21 [4532]E(f329(f267(x45321),f329(f329(f8(f917(x45322,a904),a904,x45321),f90(x45322)),f329(f329(f8(f917(x45322,a904),f917(x45322,a904),x45321),f329(f18(x45322,a904,a904),f329(f329(f8(a904,f917(a904,a904),x45322),a332),f329(f329(f7(x45322,f917(x45322,a904),a904),f331(x45322)),x45323)))),f329(f329(f7(x45321,f917(x45322,f917(x45321,a904)),f917(x45322,a904)),f329(f329(f8(f917(f917(x45321,a904),a904),f917(f917(x45322,f917(x45321,a904)),f917(x45322,a904)),x45321),f8(f917(x45321,a904),a904,x45322)),f331(x45321))),x45324)))),f329(f329(f41(x45322,f917(x45321,a904)),x45323),x45324))
% 192.21/192.21 [4565]E(f329(f329(f291(x45651,x45651,x45651),f329(f329(f311(f916(x45651,x45651)),f329(f329(f257(x45651,x45651),x45652),x45653)),x45654)),f309(x45651,f329(f329(f311(f916(x45651,x45651)),f329(f329(f257(x45651,x45651),x45652),x45653)),x45654))),f329(f329(f115(f917(f916(x45651,x45651),a904)),f329(f329(f291(x45651,x45651,x45651),x45654),f309(x45651,x45654))),f329(f267(f916(x45651,x45651)),f329(f262(x45651,x45651,a904),f329(f329(f7(x45651,f917(x45651,a904),f917(x45651,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x45651,a904),f917(x45651,a904)),x45651),f8(a904,a904,x45651)),f329(f329(f8(a904,f917(a904,a904),x45651),a327),f329(f329(f7(x45651,f917(f916(x45651,x45651),a904),a904),f329(f329(f8(f916(x45651,x45651),f917(f917(f916(x45651,x45651),a904),a904),x45651),f331(f916(x45651,x45651))),f329(f329(f7(x45651,x45651,f916(x45651,x45651)),f257(x45651,x45651)),x45652))),f309(x45651,x45654))))),f329(f329(f7(x45651,f917(f916(x45651,x45651),a904),a904),f329(f329(f8(f916(x45651,x45651),f917(f917(f916(x45651,x45651),a904),a904),x45651),f331(f916(x45651,x45651))),f329(f257(x45651,x45651),x45653))),f309(x45651,x45654)))))))
% 192.21/192.21 [4364]E(f329(f139(x43641,f329(f329(f18(x43641,a904,a904),f329(f329(f8(a904,f917(a904,a904),x43641),a327),x43642)),x43643)),x43644),f329(f139(x43641,x43643),f329(f139(x43641,x43642),x43644)))
% 192.21/192.21 [4465]E(f329(f329(f137(x44651),f329(f329(f329(f99(f910(x44651)),f329(f329(f331(a909),f2(a909)),x44652)),f329(f329(f154(x44651),x44653),f118(x44651))),f118(x44651))),f179(x44651,x44654,f329(f267(a909),f329(f329(f7(a909,f917(a909,a904),a904),f329(f329(f8(a909,f917(f917(a909,a904),a904),a909),f331(a909)),a117)),x44652)))),f179(x44651,f329(f329(f154(x44651),x44653),x44654),x44652))
% 192.21/192.21 [4561]E(f329(f267(f916(x45611,x45612)),f329(f329(f8(f917(a909,a904),a904,f916(x45611,x45612)),f89(a909)),f329(f329(f7(f916(x45611,x45612),f917(a909,a904),f917(a909,a904)),f329(f329(f8(f917(a909,f917(a904,a904)),f917(f917(a909,a904),f917(a909,a904)),f916(x45611,x45612)),f18(a909,a904,a904)),f329(f329(f8(f917(a909,a904),f917(a909,f917(a904,a904)),f916(x45611,x45612)),f329(f8(a904,f917(a904,a904),a909),a327)),f329(f329(f7(f916(x45611,x45612),f917(a909,f916(x45611,x45612)),f917(a909,a904)),f329(f329(f8(f917(f916(x45611,x45612),a904),f917(f917(a909,f916(x45611,x45612)),f917(a909,a904)),f916(x45611,x45612)),f8(f916(x45611,x45612),a904,a909)),a326)),f329(f329(f18(a909,x45612,f916(x45611,x45612)),f329(f329(f8(x45611,f917(x45612,f916(x45611,x45612)),a909),f257(x45611,x45612)),f329(f167(x45611),x45613))),f329(f167(x45612),x45614)))))),f329(f329(f7(a909,a909,a904),f240(a909)),f329(f329(f237(a909),f329(f192(f910(x45611)),x45613)),f329(f192(f910(x45612)),x45614)))))),f329(f175(f916(x45611,x45612)),f329(f329(f184(x45611,x45612),x45613),x45614)))
% 192.21/192.21 [4484]E(f329(f267(f916(x44841,x44842)),f329(f262(x44841,x44842,a904),f329(f329(f7(x44841,f917(x44842,a904),f917(x44842,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x44842,a904),f917(x44842,a904)),x44841),f8(a904,a904,x44842)),f329(f329(f8(a904,f917(a904,a904),x44841),a327),x44843))),x44844))),f329(f329(f259(x44841,x44842),f329(f267(x44841),x44843)),f329(f16(f917(x44842,a904),x44841),f329(f267(x44842),x44844))))
% 192.21/192.21 [4487]E(f329(f267(f916(x44871,x44872)),f329(f262(x44871,x44872,a904),f329(f329(f18(x44871,f917(x44872,a904),f917(x44872,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x44872,a904),f917(x44872,a904)),x44871),f8(a904,a904,x44872)),f329(f329(f8(a904,f917(a904,a904),x44871),a327),x44873))),x44874))),f329(f329(f259(x44871,x44872),f329(f267(x44871),x44873)),f329(f329(f8(f917(x44872,a904),f917(x44872,a904),x44871),f267(x44872)),x44874)))
% 192.21/192.21 [4499]E(f329(f267(x44991),f329(f329(f8(f917(x44992,a904),a904,x44991),f90(x44992)),f329(f329(f8(f917(x44992,a904),f917(x44992,a904),x44991),f329(f18(x44992,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44992),a332),f329(f329(f7(x44992,f917(x44992,a904),a904),f331(x44992)),x44993)))),x44994))),f329(f329(f41(x44992,f917(x44991,a904)),x44993),f329(f329(f8(f917(x44991,a904),f917(x44991,a904),x44992),f267(x44991)),f329(f7(x44991,x44992,a904),x44994))))
% 192.21/192.21 [4544]E(f329(f329(f157(f916(x45441,a909),x45441),f256(x45441,a909)),f329(f139(f916(x45441,a909),f329(f329(f7(f916(x45441,a909),f917(a909,a904),a904),f329(f329(f8(a909,f917(f917(a909,a904),a904),f916(x45441,a909)),f331(a909)),f261(x45441,a909))),x45442)),f329(f329(f184(x45441,a909),x45443),f142(a909,f329(f304(a909,x45444),f329(f329(f82(a909),x45444),f329(f192(f910(x45441)),x45443))))))),f329(f329(f157(f916(x45441,a909),x45441),f256(x45441,a909)),f329(f139(f916(x45441,a909),f329(f329(f7(f916(x45441,a909),f917(a909,a904),a904),f329(f329(f8(a909,f917(f917(a909,a904),a904),f916(x45441,a909)),f331(a909)),f329(f329(f7(f916(x45441,a909),a909,a909),f329(f329(f8(a909,f917(a909,a909),f916(x45441,a909)),f82(a909)),f261(x45441,a909))),x45444))),x45442)),f329(f329(f184(x45441,a909),x45443),f142(a909,f329(f304(a909,f2(a909)),f329(f192(f910(x45441)),x45443)))))))
% 192.21/192.21 [4545]E(f329(a117,f329(f329(f238(a909),f329(f192(f910(x45451)),x45452)),f329(f145(a909,f910(x45453),f329(f7(f910(x45453),a909,a909),f329(f329(f8(a909,f917(a909,a909),f910(x45453)),f238(a909)),f329(f329(f7(f910(x45453),a909,a909),f329(f329(f8(a909,f917(a909,a909),f910(x45453)),f23(a909)),f192(f910(x45453)))),f329(a117,f2(a909))))),f2(a909)),f329(f171(f910(x45453)),f329(f139(f910(x45453),f329(f329(f8(a904,a904,f910(x45453)),a324),f329(f329(f7(f910(x45453),f910(x45453),a904),a326),f118(x45453)))),x45454))))),f329(f329(f238(a909),f329(a117,f329(f192(f910(x45451)),x45452))),f329(f145(a909,f910(x45453),f329(f7(f910(x45453),a909,a909),f329(f329(f8(a909,f917(a909,a909),f910(x45453)),f238(a909)),f192(f910(x45453)))),f2(a909)),f329(f171(f910(x45453)),x45454))))
% 192.21/192.21 [4498]E(f329(f329(f137(x44981),f179(x44981,x44982,x44983)),f179(x44981,x44984,f329(f267(a909),f329(f329(f7(a909,f917(a909,a904),a904),f329(f329(f8(a909,f917(f917(a909,a904),a904),a909),f331(a909)),f329(f329(f7(a909,a909,a909),f82(a909)),f329(f192(f910(x44981)),x44982)))),x44983)))),f179(x44981,f329(f329(f137(x44981),x44982),x44984),x44983))
% 192.21/192.21 [4546]E(f38(f917(x45461,a904),f329(f267(f917(x45461,a904)),f329(f329(f8(f917(x45462,a904),a904,f917(x45461,a904)),f89(x45462)),f329(f329(f8(f917(x45462,a904),f917(x45462,a904),f917(x45461,a904)),f329(f18(x45462,a904,a904),f329(f329(f8(a904,f917(a904,a904),x45462),a327),f329(f329(f7(x45462,f917(x45462,a904),a904),f331(x45462)),x45463)))),f329(f329(f7(f917(x45461,a904),f917(x45462,f917(x45461,a904)),f917(x45462,a904)),f329(f329(f8(f917(f917(x45461,a904),a904),f917(f917(x45462,f917(x45461,a904)),f917(x45462,a904)),f917(x45461,a904)),f8(f917(x45461,a904),a904,x45462)),a326)),x45464))))),f329(f329(f40(x45462,f917(x45461,a904)),x45463),x45464))
% 192.21/192.21 [4547]E(f39(f917(x45471,a904),f329(f267(f917(x45471,a904)),f329(f329(f8(f917(x45472,a904),a904,f917(x45471,a904)),f89(x45472)),f329(f329(f8(f917(x45472,a904),f917(x45472,a904),f917(x45471,a904)),f329(f18(x45472,a904,a904),f329(f329(f8(a904,f917(a904,a904),x45472),a327),f329(f329(f7(x45472,f917(x45472,a904),a904),f331(x45472)),x45473)))),f329(f329(f7(f917(x45471,a904),f917(x45472,f917(x45471,a904)),f917(x45472,a904)),f329(f329(f8(f917(f917(x45471,a904),a904),f917(f917(x45472,f917(x45471,a904)),f917(x45472,a904)),f917(x45471,a904)),f8(f917(x45471,a904),a904,x45472)),a326)),x45474))))),f329(f329(f41(x45472,f917(x45471,a904)),x45473),x45474))
% 192.21/192.21 [4554]E(f329(f329(f154(f910(x45541)),f329(f329(f154(x45541),x45542),f329(f145(f910(x45541),f910(x45541),f137(x45541),f118(x45541)),f329(f329(f157(f910(x45541),f910(x45541)),f159(f910(x45541),x45541,f118(x45541),f329(f329(f8(f910(x45541),f917(f910(x45541),f910(x45541)),x45541),f16(f910(x45541),f910(x45541))),f329(f329(f7(x45541,f910(x45541),f910(x45541)),f154(x45541)),f118(x45541))))),x45543)))),f182(x45541,f329(f329(f154(f910(x45541)),x45544),f329(f145(f910(f910(x45541)),f910(f910(x45541)),f137(f910(x45541)),f118(f910(x45541))),f329(f329(f157(f910(x45541),f910(f910(x45541))),f159(f910(f910(x45541)),x45541,f118(f910(x45541)),f329(f16(f917(f910(x45541),f910(f910(x45541))),x45541),f329(f329(f7(f910(x45541),f910(f910(x45541)),f910(f910(x45541))),f154(f910(x45541))),f118(f910(x45541)))))),x45543))))),f182(x45541,f329(f329(f154(f910(x45541)),f329(f329(f154(x45541),x45542),x45544)),x45543)))
% 192.21/192.21 [4562]E(f329(f267(f916(x45621,x45621)),f329(f262(x45621,x45621,a904),f329(f329(f7(x45621,f917(f916(x45622,x45622),a904),f917(x45621,a904)),f329(f329(f8(f917(x45621,f917(f917(f916(x45622,x45622),a904),a904)),f917(f917(f916(x45622,x45622),a904),f917(x45621,a904)),x45621),f7(x45621,f917(f916(x45622,x45622),a904),a904)),f329(f329(f8(f917(x45621,f916(x45622,x45622)),f917(x45621,f917(f917(f916(x45622,x45622),a904),a904)),x45621),f329(f8(f916(x45622,x45622),f917(f917(f916(x45622,x45622),a904),a904),x45621),f331(f916(x45622,x45622)))),f329(f329(f7(x45621,f917(x45621,x45622),f917(x45621,f916(x45622,x45622))),f329(f329(f8(f917(x45622,f916(x45622,x45622)),f917(f917(x45621,x45622),f917(x45621,f916(x45622,x45622))),x45621),f8(x45622,f916(x45622,x45622),x45621)),f329(f329(f8(x45622,f917(x45622,f916(x45622,x45622)),x45621),f257(x45622,x45622)),x45623))),x45623)))),x45624))),f329(f329(f290(x45622,x45621),x45624),x45623))
% 192.21/192.21 [4618]~E(f32(x46181,x46182),f29(x46183,x46184,x46185))
% 192.21/192.21 [4619]~E(f32(x46191,x46192),f28(x46193,x46194,x46195))
% 192.21/192.21 [4620]~E(f31(x46201,x46202),f29(x46203,x46204,x46205))
% 192.21/192.21 [4621]~E(f31(x46211,x46212),f28(x46213,x46214,x46215))
% 192.21/192.21 [4622]~E(f29(x46221,x46222,x46223),f32(x46224,x46225))
% 192.21/192.21 [4623]~E(f29(x46231,x46232,x46233),f31(x46234,x46235))
% 192.21/192.21 [4624]~E(f28(x46241,x46242,x46243),f32(x46244,x46245))
% 192.21/192.21 [4625]~E(f28(x46251,x46252,x46253),f31(x46254,x46255))
% 192.21/192.21 [3697]E(f329(f329(f157(x36971,x36972),x36973),f172(x36971,x36974,x36975)),f172(x36972,x36974,f329(x36973,x36975)))
% 192.21/192.21 [4263]E(f329(f76(x42631,x42632,x42633,x42634,x42635),x42634),x42635)
% 192.21/192.21 [4315]E(f258(x43151,x43152,x43153,f248(x43152,x43151,x43154),f248(x43153,x43152,x43155)),f248(x43153,x43151,f258(x43153,x43152,x43151,x43155,x43154)))
% 192.21/192.21 [3890]E(f329(f329(f262(x38901,x38902,x38903),x38904),x38905),f329(f329(x38904,f329(f256(x38901,x38902),x38905)),f329(f261(x38901,x38902),x38905)))
% 192.21/192.21 [3926]E(f329(f329(f329(f66(x39261,x39262,x39263),x39264),x39265),f191(f917(x39262,a904))),x39265)
% 192.21/192.21 [4203]E(f329(f74(f910(x42031),f910(x42032),f910(x42033),f329(f157(x42031,x42032),x42034)),f329(f157(x42033,x42031),x42035)),f329(f157(x42033,x42032),f329(f74(x42031,x42032,x42033,x42034),x42035)))
% 192.21/192.21 [4277]E(f87(x42771,f67(x42772,x42771,x42773,x42774,x42775)),f329(f329(f65(x42772,x42771,x42773),x42774),x42775))
% 192.21/192.21 [4311]E(f329(f329(f82(a909),f329(f329(f82(a909),f329(x43111,f329(f256(x43112,x43113),x43114))),f329(x43115,f329(f261(x43112,x43113),x43114)))),f329(a117,f2(a909))),f266(x43112,x43113,x43111,x43115,x43114))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [3920]E(f329(f312(x39201,x39202,x39203),f329(f329(f311(x39201),x39204),x39205)),f329(f329(f311(x39202),f329(x39203,x39204)),f329(f312(x39201,x39202,x39203),x39205)))
% 192.21/192.21 [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))))
% 192.21/192.21 [3986]E(f329(f329(f184(x39861,x39862),f329(f329(f178(x39861),x39863),x39864)),f329(f329(f178(x39862),x39863),x39865)),f329(f329(f178(f916(x39861,x39862)),x39863),f329(f329(f184(x39861,x39862),x39864),x39865)))
% 192.21/192.21 [3987]E(f329(f329(f184(x39871,x39872),f329(f329(f141(x39871),x39873),x39874)),f329(f329(f141(x39872),x39873),x39875)),f329(f329(f141(f916(x39871,x39872)),x39873),f329(f329(f184(x39871,x39872),x39874),x39875)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [4004]E(f329(f329(x40041,x40042),f329(f329(f250(x40043,x40044,x40041),x40042),x40045)),f329(f329(f250(x40043,x40044,x40041),x40042),f329(a117,x40045)))
% 192.21/192.21 [4035]E(f166(x40351,x40352,x40353,f329(f329(f154(x40351),x40354),x40355)),f329(f329(f137(x40352),f329(x40353,x40354)),f166(x40351,x40352,x40353,x40355)))
% 192.21/192.21 [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)))
% 192.21/192.21 [4079]E(f329(f329(f329(f186(f910(x40791),f910(x40791)),x40792),f170(x40791)),f329(f329(f157(x40793,x40791),x40794),x40795)),f329(f329(f157(x40793,x40791),x40794),f329(f329(f329(f186(f910(x40793),f910(x40793)),x40792),f170(x40793)),x40795)))
% 192.21/192.21 [4080]E(f329(f329(f264(x40801,x40802,x40801,x40803),f329(f257(x40802,x40801),x40804)),x40805),f329(x40805,x40804))
% 192.21/192.21 [4106]E(f158(x41061,x41062,f329(f329(f157(x41063,x41061),x41064),x41065)),f158(x41063,f329(f74(x41061,a909,x41063,x41062),x41064),x41065))
% 192.21/192.21 [4168]E(f180(f916(x41681,x41682),f329(f74(x41682,a904,f916(x41681,x41682),x41683),f261(x41681,x41682)),f329(f329(f184(x41681,x41682),x41684),x41685)),f329(f329(f184(x41681,x41682),x41684),f180(x41682,x41683,x41685)))
% 192.21/192.21 [4173]E(f329(f312(x41731,x41732,f329(f329(f8(x41733,x41732,x41731),x41734),x41735)),f247(f917(x41731,a904))),f329(f312(x41733,x41732,x41734),f329(f312(x41731,x41733,x41735),f247(f917(x41731,a904)))))
% 192.21/192.21 [4186]E(f180(f916(x41861,x41862),f329(f74(x41861,a904,f916(x41861,x41862),x41863),f256(x41861,x41862)),f329(f329(f184(x41861,x41862),x41864),x41865)),f329(f329(f184(x41861,x41862),f180(x41861,x41863,x41864)),x41865))
% 192.21/192.21 [4207]E(f329(f329(f115(f917(x42071,a904)),f329(f313(x42071,x42072,x42073),f329(f329(f311(x42072),x42074),f191(f917(x42072,a904))))),f329(f313(x42071,x42072,x42073),x42075)),f329(f313(x42071,x42072,x42073),f329(f329(f311(x42072),x42074),x42075)))
% 192.21/192.21 [4262]E(f329(f329(f137(f916(x42621,x42622)),f329(f329(f157(x42622,f916(x42621,x42622)),f329(f257(x42621,x42622),x42623)),x42624)),f60(x42621,x42622,x42625,x42624)),f60(x42621,x42622,f329(f329(f154(x42621),x42623),x42625),x42624))
% 192.21/192.21 [4264]E(f329(f329(f157(x42641,x42642),x42643),f180(x42641,f329(f74(x42642,a904,x42641,x42644),x42643),x42645)),f180(x42642,x42644,f329(f329(f157(x42641,x42642),x42643),x42645)))
% 192.21/192.21 [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))
% 192.21/192.21 [4372]P1(f329(f329(f239(f917(x43721,a904)),f329(f312(x43722,x43721,x43723),f329(f329(f106(f917(x43722,a904)),x43724),x43725))),f329(f329(f106(f917(x43721,a904)),f329(f312(x43722,x43721,x43723),x43724)),f329(f312(x43722,x43721,x43723),x43725))))
% 192.21/192.21 [4373]P1(f329(f329(f239(f917(x43731,a904)),f329(f288(x43732,x43731,x43733),f329(f329(f106(f917(x43732,a904)),x43734),x43735))),f329(f329(f106(f917(x43731,a904)),f329(f288(x43732,x43731,x43733),x43734)),f329(f288(x43732,x43731,x43733),x43735))))
% 192.21/192.21 [4472]E(f329(f261(x44721,x44722),f329(f263(x44723,x44721,x44722,x44722,x44724,f33(x44722)),x44725)),f329(f261(x44723,x44722),x44725))
% 192.21/192.21 [4473]E(f329(f256(x44731,x44732),f329(f263(x44731,x44731,x44733,x44732,f33(x44731),x44734),x44735)),f329(f256(x44731,x44733),x44735))
% 192.21/192.21 [4560]P30(x45601,x45602,f329(f329(f311(f908(x45601)),f329(f329(f329(f93(x45601),f329(f329(f7(x45601,f917(a906,a904),f917(a906,a904)),f329(f329(f8(f917(a906,f917(a904,a904)),f917(f917(a906,a904),f917(a906,a904)),x45601),f18(a906,a904,a904)),f329(f329(f8(f917(a906,a904),f917(a906,f917(a904,a904)),x45601),f329(f8(a904,f917(a904,a904),a906),a327)),x45603))),f329(f329(f8(a904,a904,a906),a324),x45604))),f31(x45604,x45605)),x45603)),f191(f917(f908(x45601),a904))))
% 192.21/192.21 [3667]E(f329(f329(f329(f329(f208(x36671),x36672),x36673),x36674),x36675),f203(x36671,x36672))
% 192.21/192.21 [3668]E(f329(f329(f329(f329(f209(x36681),x36682),x36683),x36684),x36685),f195(x36681,x36682))
% 192.21/192.21 [3713]E(f96(x37131,x37132,f329(f329(f329(f93(x37131),x37133),x37134),x37135)),f2(a909))
% 192.21/192.21 [4036]E(f329(f329(f40(x40361,f917(x40362,a904)),f329(f329(f311(x40361),x40363),x40364)),x40365),f329(f329(f115(f917(x40362,a904)),f329(x40365,x40363)),f329(f329(f40(x40361,f917(x40362,a904)),x40364),x40365)))
% 192.21/192.21 [4037]E(f329(f329(f41(x40371,f917(x40372,a904)),f329(f329(f311(x40371),x40373),x40374)),x40375),f329(f329(f106(f917(x40372,a904)),f329(x40375,x40373)),f329(f329(f41(x40371,f917(x40372,a904)),x40374),x40375)))
% 192.21/192.21 [4087]E(f329(f123(x40871,x40872,f329(x40873,x40874)),f329(f329(f7(x40871,a104,f911(x40872)),x40875),x40874)),f329(f201(x40871,x40872,x40873,x40875),x40874))
% 192.21/192.21 [4100]E(f329(f329(f115(f917(x41001,a904)),f329(f312(x41002,x41001,x41003),x41004)),f329(f312(x41002,x41001,x41003),x41005)),f329(f312(x41002,x41001,x41003),f329(f329(f115(f917(x41002,a904)),x41004),x41005)))
% 192.21/192.21 [4101]E(f329(f329(f115(f917(x41011,a904)),f329(f288(x41012,x41011,x41013),x41014)),f329(f288(x41012,x41011,x41013),x41015)),f329(f288(x41012,x41011,x41013),f329(f329(f115(f917(x41012,a904)),x41014),x41015)))
% 192.21/192.21 [4102]E(f329(f329(f115(f917(x41021,a904)),f329(f313(x41021,x41022,x41023),x41024)),f329(f313(x41021,x41022,x41023),x41025)),f329(f313(x41021,x41022,x41023),f329(f329(f115(f917(x41022,a904)),x41024),x41025)))
% 192.21/192.21 [4103]E(f329(f329(f23(f917(x41031,a904)),f329(f313(x41031,x41032,x41033),x41034)),f329(f313(x41031,x41032,x41033),x41035)),f329(f313(x41031,x41032,x41033),f329(f329(f23(f917(x41032,a904)),x41034),x41035)))
% 192.21/192.21 [4104]E(f329(f329(f106(f917(x41041,a904)),f329(f313(x41041,x41042,x41043),x41044)),f329(f313(x41041,x41042,x41043),x41045)),f329(f313(x41041,x41042,x41043),f329(f329(f106(f917(x41042,a904)),x41044),x41045)))
% 192.21/192.21 [4164]E(f329(f329(f162(x41641,f329(f329(f137(x41641),x41642),f329(f329(f154(x41641),x41643),x41644))),f329(f192(f910(x41641)),x41642)),x41645),f329(f329(f137(x41641),x41642),f329(f329(f154(x41641),x41645),x41644)))
% 192.21/192.21 [4171]E(f329(f329(f41(x41711,f917(x41712,a904)),x41713),f329(f329(f8(f917(x41712,a904),f917(x41712,a904),x41711),f329(f311(x41712),x41714)),x41715)),f329(f329(f311(x41712),x41714),f329(f329(f41(x41711,f917(x41712,a904)),x41713),x41715)))
% 192.21/192.21 [4324]E(f329(f329(f157(x43241,x43242),x43243),f329(f139(x43241,f329(f74(x43242,a904,x43241,x43244),x43243)),x43245)),f329(f139(x43242,x43244),f329(f329(f157(x43241,x43242),x43243),x43245)))
% 192.21/192.21 [4330]E(f329(f192(f910(x43301)),f329(f139(x43301,x43302),f329(f329(f157(x43303,x43301),x43304),x43305))),f329(f192(f910(x43303)),f329(f139(x43303,f329(f74(x43301,a904,x43303,x43302),x43304)),x43305)))
% 192.21/192.21 [4537]E(f329(f159(f910(f916(x45371,x45372)),x45372,f118(f916(x45371,x45372)),f329(f329(f7(x45372,f917(f910(x45372),f910(f916(x45371,x45372))),f917(f910(x45372),f910(f916(x45371,x45372)))),f329(f329(f8(f917(f910(f916(x45371,x45372)),f910(f916(x45371,x45372))),f917(f917(f910(x45372),f910(f916(x45371,x45372))),f917(f910(x45372),f910(f916(x45371,x45372)))),x45372),f8(f910(f916(x45371,x45372)),f910(f916(x45371,x45372)),f910(x45372))),f329(f329(f8(f916(x45371,x45372),f917(f910(f916(x45371,x45372)),f910(f916(x45371,x45372))),x45372),f154(f916(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))
% 192.21/192.21 [4029]E(f329(f329(f162(x40291,f329(f329(f162(x40291,x40292),x40293),x40294)),x40293),x40295),f329(f329(f162(x40291,x40292),x40293),x40295))
% 192.21/192.21 [4081]E(f329(f287(x40811,x40812),f329(f329(f311(f916(x40811,x40812)),f329(f329(f257(x40811,x40812),x40813),x40814)),x40815)),f329(f329(f311(x40812),x40814),f329(f287(x40811,x40812),x40815)))
% 192.21/192.21 [4082]E(f329(f269(x40821,x40822),f329(f329(f311(f916(x40821,x40822)),f329(f329(f257(x40821,x40822),x40823),x40824)),x40825)),f329(f329(f311(x40821),x40823),f329(f269(x40821,x40822),x40825)))
% 192.21/192.21 [4129]E(f126(x41291,x41292,f329(x41293,x41294),f329(f329(f7(x41291,a104,f911(f913(x41292))),x41295),x41294)),f329(f199(x41291,x41292,x41293,x41295),x41294))
% 192.21/192.21 [4157]E(f329(f329(f115(f917(f916(x41571,x41572),a904)),f329(f329(f259(x41571,x41572),x41573),x41574)),f329(f329(f259(x41571,x41572),x41575),x41574)),f329(f329(f259(x41571,x41572),f329(f329(f115(f917(x41571,a904)),x41573),x41575)),x41574))
% 192.21/192.21 [4158]E(f329(f329(f23(f917(f916(x41581,x41582),a904)),f329(f329(f259(x41581,x41582),x41583),x41584)),f329(f329(f259(x41581,x41582),x41585),x41584)),f329(f329(f259(x41581,x41582),f329(f329(f23(f917(x41581,a904)),x41583),x41585)),x41584))
% 192.21/192.21 [4159]E(f329(f329(f106(f917(f916(x41591,x41592),a904)),f329(f329(f259(x41591,x41592),x41593),x41594)),f329(f329(f259(x41591,x41592),x41595),x41594)),f329(f329(f259(x41591,x41592),f329(f329(f106(f917(x41591,a904)),x41593),x41595)),x41594))
% 192.21/192.21 [4218]E(f329(f329(f115(f917(x42181,a904)),f329(f329(f40(x42182,f917(x42181,a904)),x42183),x42184)),f329(f329(f40(x42182,f917(x42181,a904)),x42185),x42184)),f329(f329(f40(x42182,f917(x42181,a904)),f329(f329(f115(f917(x42182,a904)),x42183),x42185)),x42184))
% 192.21/192.21 [4219]E(f329(f329(f106(f917(x42191,a904)),f329(f329(f41(x42192,f917(x42191,a904)),x42193),x42194)),f329(f329(f41(x42192,f917(x42191,a904)),x42195),x42194)),f329(f329(f41(x42192,f917(x42191,a904)),f329(f329(f115(f917(x42192,a904)),x42193),x42195)),x42194))
% 192.21/192.21 [4233]E(f329(f329(f40(x42331,f917(x42332,a904)),x42333),f329(f329(f8(f917(x42332,a904),f917(x42332,a904),x42331),f329(f23(f917(x42332,a904)),x42334)),x42335)),f329(f329(f23(f917(x42332,a904)),x42334),f329(f329(f41(x42331,f917(x42332,a904)),x42333),x42335)))
% 192.21/192.21 [4234]E(f329(f329(f40(x42341,f917(x42342,a904)),x42343),f329(f329(f8(f917(x42342,a904),f917(x42342,a904),x42341),f329(f106(f917(x42342,a904)),x42344)),x42345)),f329(f329(f106(f917(x42342,a904)),x42344),f329(f329(f40(x42341,f917(x42342,a904)),x42343),x42345)))
% 192.21/192.21 [4235]E(f329(f329(f41(x42351,f917(x42352,a904)),x42353),f329(f329(f8(f917(x42352,a904),f917(x42352,a904),x42351),f329(f115(f917(x42352,a904)),x42354)),x42355)),f329(f329(f115(f917(x42352,a904)),x42354),f329(f329(f41(x42351,f917(x42352,a904)),x42353),x42355)))
% 192.21/192.21 [4289]E(f188(f910(x42891),f329(f329(f154(x42891),x42892),x42893),f329(f329(f8(f910(x42891),f910(x42891),a909),f329(f154(x42891),x42894)),f329(f329(f7(a909,x42891,f910(x42891)),f162(x42891,x42893)),x42892)),x42895),f329(f329(f162(x42891,f329(f329(f154(x42891),x42894),x42893)),x42895),x42892))
% 192.21/192.21 [4293]E(f329(f329(f40(x42931,f917(f916(x42932,x42933),a904)),x42934),f329(f329(f8(f917(f916(x42933,x42932),a904),f917(f916(x42932,x42933),a904),x42931),f289(x42933,x42932)),x42935)),f329(f289(x42933,x42932),f329(f329(f40(x42931,f917(f916(x42933,x42932),a904)),x42934),x42935)))
% 192.21/192.21 [4294]E(f329(f329(f41(x42941,f917(f916(x42942,x42943),a904)),x42944),f329(f329(f8(f917(f916(x42943,x42942),a904),f917(f916(x42942,x42943),a904),x42941),f289(x42943,x42942)),x42945)),f329(f289(x42943,x42942),f329(f329(f41(x42941,f917(f916(x42943,x42942),a904)),x42944),x42945)))
% 192.21/192.21 [4395]P1(f329(f329(f239(f917(x43951,a904)),f329(f329(f23(f917(x43951,a904)),f329(f312(x43952,x43951,x43953),x43954)),f329(f312(x43952,x43951,x43953),x43955))),f329(f312(x43952,x43951,x43953),f329(f329(f23(f917(x43952,a904)),x43954),x43955))))
% 192.21/192.21 [4540]E(f329(f159(f910(f916(x45401,x45402)),x45401,f118(f916(x45401,x45402)),f329(f329(f7(x45401,f917(f910(x45401),f910(f916(x45401,x45402))),f917(f910(x45401),f910(f916(x45401,x45402)))),f329(f329(f8(f917(f910(f916(x45401,x45402)),f910(f916(x45401,x45402))),f917(f917(f910(x45401),f910(f916(x45401,x45402))),f917(f910(x45401),f910(f916(x45401,x45402)))),x45401),f8(f910(f916(x45401,x45402)),f910(f916(x45401,x45402)),f910(x45401))),f329(f329(f8(f916(x45401,x45402),f917(f910(f916(x45401,x45402)),f910(f916(x45401,x45402))),x45401),f154(f916(x45401,x45402))),f329(f329(f7(x45401,x45402,f916(x45401,x45402)),f257(x45401,x45402)),x45403)))),f329(f329(f7(f910(x45401),f910(x45402),f910(f916(x45401,x45402))),f184(x45401,x45402)),x45404))),x45405),f329(f329(f184(x45401,x45402),x45405),f329(f329(f154(x45402),x45403),x45404)))
% 192.21/192.21 [4258]E(f329(f329(f115(f917(x42581,a904)),f329(f288(x42582,x42581,x42583),x42584)),f329(f288(x42582,x42581,x42585),x42584)),f329(f288(x42582,x42581,f329(f329(f115(f917(f916(x42582,x42581),a904)),x42583),x42585)),x42584))
% 192.21/192.21 [4295]E(f329(f329(f137(f916(x42951,x42952)),f329(f329(f184(x42951,x42952),x42953),f329(f329(f178(x42952),f329(f192(f910(x42951)),x42953)),x42954))),f329(f329(f184(x42951,x42952),x42955),f329(f329(f141(x42952),f329(f192(f910(x42951)),x42953)),x42954))),f329(f329(f184(x42951,x42952),f329(f329(f137(x42951),x42953),x42955)),x42954))
% 192.21/192.21 [4398]E(f329(f329(f259(x43981,x43982),x43983),f329(f329(f18(x43981,f917(x43982,a904),f917(x43982,a904)),f329(f329(f8(f917(x43982,a904),f917(f917(x43982,a904),f917(x43982,a904)),x43981),f115(f917(x43982,a904))),x43984)),x43985)),f329(f329(f115(f917(f916(x43981,x43982),a904)),f329(f329(f259(x43981,x43982),x43983),x43984)),f329(f329(f259(x43981,x43982),x43983),x43985)))
% 192.21/192.21 [4399]E(f329(f329(f259(x43991,x43992),x43993),f329(f329(f18(x43991,f917(x43992,a904),f917(x43992,a904)),f329(f329(f8(f917(x43992,a904),f917(f917(x43992,a904),f917(x43992,a904)),x43991),f23(f917(x43992,a904))),x43994)),x43995)),f329(f329(f23(f917(f916(x43991,x43992),a904)),f329(f329(f259(x43991,x43992),x43993),x43994)),f329(f329(f259(x43991,x43992),x43993),x43995)))
% 192.21/192.21 [4400]E(f329(f329(f259(x44001,x44002),x44003),f329(f329(f18(x44001,f917(x44002,a904),f917(x44002,a904)),f329(f329(f8(f917(x44002,a904),f917(f917(x44002,a904),f917(x44002,a904)),x44001),f106(f917(x44002,a904))),x44004)),x44005)),f329(f329(f106(f917(f916(x44001,x44002),a904)),f329(f329(f259(x44001,x44002),x44003),x44004)),f329(f329(f259(x44001,x44002),x44003),x44005)))
% 192.21/192.21 [4404]E(f329(f329(f40(x44041,f917(x44042,a904)),x44043),f329(f329(f7(x44041,f917(x44042,a904),f917(x44042,a904)),f329(f329(f8(f917(x44042,a904),f917(f917(x44042,a904),f917(x44042,a904)),x44041),f23(f917(x44042,a904))),x44044)),x44045)),f329(f329(f23(f917(x44042,a904)),f329(f329(f40(x44041,f917(x44042,a904)),x44043),x44044)),x44045))
% 192.21/192.21 [4405]E(f329(f329(f40(x44051,f917(x44052,a904)),x44053),f329(f329(f7(x44051,f917(x44052,a904),f917(x44052,a904)),f329(f329(f8(f917(x44052,a904),f917(f917(x44052,a904),f917(x44052,a904)),x44051),f106(f917(x44052,a904))),x44054)),x44055)),f329(f329(f106(f917(x44052,a904)),f329(f329(f40(x44051,f917(x44052,a904)),x44053),x44054)),x44055))
% 192.21/192.21 [4406]E(f329(f329(f41(x44061,f917(x44062,a904)),x44063),f329(f329(f7(x44061,f917(x44062,a904),f917(x44062,a904)),f329(f329(f8(f917(x44062,a904),f917(f917(x44062,a904),f917(x44062,a904)),x44061),f115(f917(x44062,a904))),x44064)),x44065)),f329(f329(f115(f917(x44062,a904)),f329(f329(f41(x44061,f917(x44062,a904)),x44063),x44064)),x44065))
% 192.21/192.21 [4410]E(f329(f329(f40(x44101,f917(x44102,a904)),x44103),f329(f329(f18(x44101,f917(x44102,a904),f917(x44102,a904)),f329(f329(f8(f917(x44102,a904),f917(f917(x44102,a904),f917(x44102,a904)),x44101),f115(f917(x44102,a904))),x44104)),x44105)),f329(f329(f115(f917(x44102,a904)),f329(f329(f40(x44101,f917(x44102,a904)),x44103),x44104)),f329(f329(f40(x44101,f917(x44102,a904)),x44103),x44105)))
% 192.21/192.21 [4411]E(f329(f329(f41(x44111,f917(x44112,a904)),x44113),f329(f329(f18(x44111,f917(x44112,a904),f917(x44112,a904)),f329(f329(f8(f917(x44112,a904),f917(f917(x44112,a904),f917(x44112,a904)),x44111),f106(f917(x44112,a904))),x44114)),x44115)),f329(f329(f106(f917(x44112,a904)),f329(f329(f41(x44111,f917(x44112,a904)),x44113),x44114)),f329(f329(f41(x44111,f917(x44112,a904)),x44113),x44115)))
% 192.21/192.21 [4424]E(f329(f329(f40(x44241,f917(x44242,a904)),x44243),f329(f329(f18(x44241,f917(x44242,a904),f917(x44242,a904)),f329(f329(f8(f917(x44242,a904),f917(f917(x44242,a904),f917(x44242,a904)),x44241),f115(f917(x44242,a904))),x44244)),x44245)),f329(f329(f115(f917(x44242,a904)),f38(f917(x44242,a904),f329(f312(x44241,f917(x44242,a904),x44244),x44243))),f38(f917(x44242,a904),f329(f312(x44241,f917(x44242,a904),x44245),x44243))))
% 192.21/192.21 [4425]E(f329(f329(f41(x44251,f917(x44252,a904)),x44253),f329(f329(f18(x44251,f917(x44252,a904),f917(x44252,a904)),f329(f329(f8(f917(x44252,a904),f917(f917(x44252,a904),f917(x44252,a904)),x44251),f106(f917(x44252,a904))),x44254)),x44255)),f329(f329(f106(f917(x44252,a904)),f39(f917(x44252,a904),f329(f312(x44251,f917(x44252,a904),x44254),x44253))),f39(f917(x44252,a904),f329(f312(x44251,f917(x44252,a904),x44255),x44253))))
% 192.21/192.21 [4461]E(f329(f329(f141(x44611),f329(f192(f910(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(f910(x44613)),f180(x44613,f329(f74(x44611,a904,x44613,x44612),x44614),x44615))),x44615)))
% 192.21/192.21 [4337]E(f329(f329(f137(f916(x43371,x43372)),f329(f329(f184(x43371,x43372),f329(f329(f178(x43371),f329(f192(f910(x43372)),x43373)),x43374)),x43373)),f329(f329(f184(x43371,x43372),f329(f329(f141(x43371),f329(f192(f910(x43372)),x43373)),x43374)),x43375)),f329(f329(f184(x43371,x43372),x43374),f329(f329(f137(x43372),x43373),x43375)))
% 192.21/192.21 [4452]E(f87(x44521,f329(f329(f18(x44521,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44521),a327),f329(f329(f7(x44521,f917(x44521,a904),a904),f331(x44521)),x44522))),f329(f329(f7(x44521,x44523,a904),f329(f329(f8(x44523,f917(x44523,a904),x44521),a326),x44524)),x44525))),f329(f79(x44521,x44523,x44522,x44524),x44525))
% 192.21/192.21 [4453]E(f92(x44531,f329(f329(f18(x44531,a904,a904),f329(f329(f8(a904,f917(a904,a904),x44531),a327),f329(f329(f7(x44531,f917(x44531,a904),a904),f331(x44531)),x44532))),f329(f329(f7(x44531,x44533,a904),f329(f329(f8(x44533,f917(x44533,a904),x44531),a326),x44534)),x44535))),f329(f94(x44531,x44533,x44532,x44534),x44535))
% 192.21/192.21 [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,f917(x45011,x45011)),f329(f329(f8(a904,f917(x45011,f917(x45011,x45011)),a1),f99(x45011)),a196)),f188(x45011,x45013,x45014,x45015))),f329(f329(f8(a909,x45011,a1),x45014),f329(f329(f7(a1,a909,a909),f329(f329(f8(a909,f917(a909,a909),a1),f82(a909)),a109)),x45015)))),f188(x45011,x45013,x45014,f329(f329(f82(a909),f329(f108(a909),x45012)),x45015)))
% 192.21/192.21 [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,f917(x45361,x45361)),f329(f329(f8(a904,f917(x45361,f917(x45361,x45361)),a1),f99(x45361)),a196)),f329(f187(x45361,x45363,x45364),x45365))),f329(f329(f18(a1,x45361,x45361),f329(f329(f8(a909,f917(x45361,x45361),a1),x45364),f329(f329(f7(a1,a909,a909),f329(f329(f8(a909,f917(a909,a909),a1),f82(a909)),a109)),x45365))),f329(f329(f8(a909,x45361,a1),f187(x45361,x45363,x45364)),f329(f329(f7(a1,a909,a909),f329(f329(f8(a909,f917(a909,a909),a1),f82(a909)),a109)),x45365))))),f329(f187(x45361,x45363,x45364),f329(f329(f82(a909),f329(f108(a909),x45362)),x45365)))
% 192.21/192.21 [4570]E(f329(f267(f916(x45701,x45702)),f329(f262(x45701,x45702,a904),f329(f329(f8(f917(x45702,f917(x45703,a904)),f917(x45702,a904),x45701),f329(f8(f917(x45703,a904),a904,x45702),f89(x45703))),f329(f329(f7(x45701,f917(x45702,f917(x45703,a904)),f917(x45702,f917(x45703,a904))),f329(f329(f8(f917(f917(x45703,a904),f917(x45703,a904)),f917(f917(x45702,f917(x45703,a904)),f917(x45702,f917(x45703,a904))),x45701),f8(f917(x45703,a904),f917(x45703,a904),x45702)),f329(f329(f8(f917(x45703,f917(a904,a904)),f917(f917(x45703,a904),f917(x45703,a904)),x45701),f18(x45703,a904,a904)),f329(f329(f8(f917(x45703,a904),f917(x45703,f917(a904,a904)),x45701),f329(f8(a904,f917(a904,a904),x45703),a327)),f329(f329(f7(x45701,f917(f916(x45701,x45703),a904),f917(x45703,a904)),f329(f329(f8(f917(x45703,f917(f917(f916(x45701,x45703),a904),a904)),f917(f917(f916(x45701,x45703),a904),f917(x45703,a904)),x45701),f7(x45703,f917(f916(x45701,x45703),a904),a904)),f329(f329(f8(f917(x45703,f916(x45701,x45703)),f917(x45703,f917(f917(f916(x45701,x45703),a904),a904)),x45701),f329(f8(f916(x45701,x45703),f917(f917(f916(x45701,x45703),a904),a904),x45703),f331(f916(x45701,x45703)))),f257(x45701,x45703)))),x45704))))),f329(f329(f7(x45702,f917(f916(x45703,x45702),a904),f917(x45703,a904)),f329(f329(f8(f917(x45703,f917(f917(f916(x45703,x45702),a904),a904)),f917(f917(f916(x45703,x45702),a904),f917(x45703,a904)),x45702),f7(x45703,f917(f916(x45703,x45702),a904),a904)),f329(f329(f8(f917(x45703,f916(x45703,x45702)),f917(x45703,f917(f917(f916(x45703,x45702),a904),a904)),x45702),f329(f8(f916(x45703,x45702),f917(f917(f916(x45703,x45702),a904),a904),x45703),f331(f916(x45703,x45702)))),f329(f7(x45703,x45702,f916(x45703,x45702)),f257(x45703,x45702))))),x45705))))),f329(f329(f291(x45701,x45703,x45702),x45704),x45705))
% 192.21/192.21 [4644]~E(f28(x46441,x46442,x46443),f29(x46444,x46445,x46446))
% 192.21/192.21 [4187]E(f228(x41871,x41872,x41873,x41874,f224(x41871,x41872,x41875,x41876)),f329(f329(x41874,x41875),x41876))
% 192.21/192.21 [4188]E(f229(x41881,x41882,x41883,x41884,f224(x41881,x41882,x41885,x41886)),f329(f329(x41884,x41885),x41886))
% 192.21/192.21 [4313]E(f131(x43131,x43132,x43133,x43134,f130(x43132,x43135,x43136)),f329(f329(f329(x43134,x43135),x43136),f131(x43131,x43132,x43133,x43134,x43136)))
% 192.21/192.21 [4332]E(f76(x43321,x43322,f76(x43321,x43322,x43323,x43324,x43325),x43324,x43326),f76(x43321,x43322,x43323,x43324,x43326))
% 192.21/192.21 [4440]E(f329(f74(f916(x44401,x44402),x44402,f916(x44403,x44404),f261(x44401,x44402)),f263(x44403,x44401,x44404,x44402,x44405,x44406)),f329(f74(x44404,x44402,f916(x44403,x44404),x44406),f261(x44403,x44404)))
% 192.21/192.21 [4441]E(f329(f74(f916(x44411,x44412),x44411,f916(x44413,x44414),f256(x44411,x44412)),f263(x44413,x44411,x44414,x44412,x44415,x44416)),f329(f74(x44413,x44411,f916(x44413,x44414),x44415),f256(x44413,x44414)))
% 192.21/192.21 [4057]E(f329(f329(f74(x40571,x40572,x40573,x40574),x40575),x40576),f329(x40574,f329(x40575,x40576)))
% 192.21/192.21 [4197]E(f227(x41971,f916(x41972,f911(x41972)),x41973,f329(f262(x41972,f911(x41972),x41971),x41974),f329(f138(x41972),f130(x41972,x41975,x41976))),f329(f329(x41974,x41975),x41976))
% 192.21/192.21 [4247]E(f230(x42471,x42472,x42473,x42474,f224(x42471,x42472,x42475,x42476)),f329(f329(f82(a909),f329(f329(f82(a909),f329(x42473,x42475)),f329(x42474,x42476))),f329(a117,f2(a909))))
% 192.21/192.21 [3858]E(f329(f329(f262(x38581,x38582,x38583),x38584),f329(f329(f257(x38581,x38582),x38585),x38586)),f329(f329(x38584,x38585),x38586))
% 192.21/192.21 [3917]E(f329(f329(f329(f8(x39171,x39172,x39173),x39174),x39175),x39176),f329(x39174,f329(x39175,x39176)))
% 192.21/192.21 [3918]E(f329(f329(f329(f7(x39181,x39182,x39183),x39184),x39185),x39186),f329(f329(x39184,x39186),x39185))
% 192.21/192.21 [3936]E(f329(f329(f329(f18(x39361,x39362,x39363),x39364),x39365),x39366),f329(f329(x39364,x39366),f329(x39365,x39366)))
% 192.21/192.21 [3958]E(f329(f159(x39581,x39582,x39583,x39584),f329(f329(f154(x39582),x39585),x39586)),f329(f329(x39584,x39585),x39586))
% 192.21/192.21 [3996]E(f172(f916(x39961,x39962),f329(f329(f237(a909),x39963),x39964),f329(f329(f257(x39961,x39962),x39965),x39966)),f329(f329(f184(x39961,x39962),f172(x39961,x39963,x39965)),f172(x39962,x39964,x39966)))
% 192.21/192.21 [4061]E(f329(f329(f154(f916(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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [4086]E(f329(f329(f260(x40861,x40862,x40863,x40864),x40865),x40866),f329(x40864,f329(f329(f257(x40861,x40862),x40865),x40866)))
% 192.21/192.21 [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))
% 192.21/192.21 [4130]E(f265(x41301,x41302,x41303,x41304,f329(f329(f257(x41301,x41302),x41305),x41306)),f329(f329(x41304,x41305),x41306))
% 192.21/192.21 [4211]E(f329(f329(f40(x42111,f917(x42112,a904)),x42113),f329(f74(x42114,f917(x42112,a904),x42111,x42115),x42116)),f329(f329(f40(x42114,f917(x42112,a904)),f329(f312(x42111,x42114,x42116),x42113)),x42115))
% 192.21/192.21 [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))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [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))
% 192.21/192.21 [4519]E(f329(f329(f157(f916(x45191,x45192),f916(x45191,x45193)),f329(f262(x45191,x45192,f916(x45191,x45193)),f329(f329(f7(x45191,f917(x45192,x45193),f917(x45192,f916(x45191,x45193))),f329(f329(f8(f917(x45193,f916(x45191,x45193)),f917(f917(x45192,x45193),f917(x45192,f916(x45191,x45193))),x45191),f8(x45193,f916(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)))
% 192.21/192.21 [3922]E(f97(x39221,x39222,x39223,f329(f329(f329(f93(x39221),x39224),x39225),x39226)),f329(f329(f329(x39223,x39224),x39225),x39226))
% 192.21/192.21 [3923]E(f98(x39231,x39232,x39233,f329(f329(f329(f93(x39231),x39234),x39235),x39236)),f329(f329(f329(x39233,x39234),x39235),x39236))
% 192.21/192.21 [4114]E(f329(f329(f74(x41141,x41142,x41143,f329(f16(x41142,x41141),x41144)),x41145),x41146),x41144)
% 192.21/192.21 [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))
% 192.21/192.21 [4152]E(f329(f329(f40(x41521,f917(x41522,a904)),f329(f312(x41523,x41521,x41524),x41525)),x41526),f329(f329(f40(x41523,f917(x41522,a904)),x41525),f329(f329(f8(x41521,f917(x41522,a904),x41523),x41526),x41524)))
% 192.21/192.21 [4153]E(f329(f329(f41(x41531,f917(x41532,a904)),f329(f312(x41533,x41531,x41534),x41535)),x41536),f329(f329(f41(x41533,f917(x41532,a904)),x41535),f329(f329(f8(x41531,f917(x41532,a904),x41533),x41536),x41534)))
% 192.21/192.21 [4154]E(f329(f329(f40(x41541,f917(x41542,a904)),x41543),f329(f329(f8(x41544,f917(x41542,a904),x41541),x41545),x41546)),f329(f329(f40(x41544,f917(x41542,a904)),f329(f312(x41541,x41544,x41546),x41543)),x41545))
% 192.21/192.21 [4155]E(f329(f329(f41(x41551,f917(x41552,a904)),x41553),f329(f329(f8(x41554,f917(x41552,a904),x41551),x41555),x41556)),f329(f329(f41(x41554,f917(x41552,a904)),f329(f312(x41551,x41554,x41556),x41553)),x41555))
% 192.21/192.21 [4213]E(f329(f329(f40(x42131,f917(x42132,a904)),x42133),f329(f329(f8(f917(x42134,a904),f917(x42132,a904),x42131),f312(x42134,x42132,x42135)),x42136)),f329(f312(x42134,x42132,x42135),f329(f329(f40(x42131,f917(x42134,a904)),x42133),x42136)))
% 192.21/192.21 [4214]E(f329(f329(f40(x42141,f917(x42142,a904)),x42143),f329(f329(f8(f917(x42144,a904),f917(x42142,a904),x42141),f288(x42144,x42142,x42145)),x42146)),f329(f288(x42144,x42142,x42145),f329(f329(f40(x42141,f917(x42144,a904)),x42143),x42146)))
% 192.21/192.21 [4215]E(f329(f329(f40(x42151,f917(x42152,a904)),x42153),f329(f329(f8(f917(x42154,a904),f917(x42152,a904),x42151),f313(x42152,x42154,x42155)),x42156)),f329(f313(x42152,x42154,x42155),f329(f329(f40(x42151,f917(x42154,a904)),x42153),x42156)))
% 192.21/192.21 [4216]E(f329(f329(f41(x42161,f917(x42162,a904)),x42163),f329(f329(f8(f917(x42164,a904),f917(x42162,a904),x42161),f313(x42162,x42164,x42165)),x42166)),f329(f313(x42162,x42164,x42165),f329(f329(f41(x42161,f917(x42164,a904)),x42163),x42166)))
% 192.21/192.21 [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))))
% 192.21/192.21 [4359]E(f329(f329(f18(f916(x43591,x43592),x43592,x43593),f329(f329(f8(x43594,f917(x43592,x43593),f916(x43591,x43592)),x43595),f329(f329(f8(x43591,x43594,f916(x43591,x43592)),x43596),f256(x43591,x43592)))),f261(x43591,x43592)),f329(f262(x43591,x43592,x43593),f329(f329(f8(x43594,f917(x43592,x43593),x43591),x43595),x43596)))
% 192.21/192.21 [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))))
% 192.21/192.21 [4368]E(f329(f329(f157(f916(x43681,x43682),f916(x43683,x43682)),f329(f262(x43681,x43682,f916(x43683,x43682)),f329(f329(f8(x43683,f917(x43682,f916(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))
% 192.21/192.21 [4413]P1(f329(f329(f239(f917(x44131,a904)),f329(f288(x44132,x44131,x44133),f329(f329(f41(x44134,f917(x44132,a904)),x44135),x44136))),f329(f329(f41(x44134,f917(x44131,a904)),x44135),f329(f329(f8(f917(x44132,a904),f917(x44131,a904),x44134),f288(x44132,x44131,x44133)),x44136))))
% 192.21/192.21 [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(f916(x42261,x42262),f329(f329(f184(x42261,x42262),x42263),x42266)),x42264),x42265))
% 192.21/192.21 [4284]E(f329(f329(f115(f917(f916(x42841,x42842),a904)),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(f917(f916(x42843,x42842),a904)),x42845),x42846)))
% 192.21/192.21 [4378]E(f329(f329(f311(f916(x43781,x43782)),f329(f329(f257(x43781,x43782),x43783),x43784)),f329(f329(f115(f917(f916(x43781,x43782),a904)),f329(f329(f259(x43781,x43782),x43785),f329(f16(f917(x43782,a904),x43781),f329(f329(f311(x43782),x43784),x43786)))),f329(f329(f259(x43781,x43782),f329(f329(f311(x43781),x43783),x43785)),f329(f16(f917(x43782,a904),x43781),x43786)))),f329(f329(f259(x43781,x43782),f329(f329(f311(x43781),x43783),x43785)),f329(f16(f917(x43782,a904),x43781),f329(f329(f311(x43782),x43784),x43786))))
% 192.21/192.21 [4457]E(f329(f329(f106(f917(x44571,a904)),f329(f313(x44571,x44572,f329(f74(f916(x44572,x44573),x44572,x44571,f256(x44572,x44573)),x44574)),x44575)),f329(f313(x44571,x44573,f329(f74(f916(x44572,x44573),x44573,x44571,f261(x44572,x44573)),x44574)),x44576)),f329(f313(x44571,f916(x44572,x44573),x44574),f329(f329(f259(x44572,x44573),x44575),f329(f16(f917(x44573,a904),x44572),x44576))))
% 192.21/192.21 [4307]E(f329(f329(f115(f917(f916(x43071,x43072),a904)),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(f917(f916(x43071,x43073),a904)),x43074),x43076)),x43075))
% 192.21/192.21 [4438]E(f329(f329(f40(x44381,f917(x44382,a904)),x44383),f329(f329(f7(x44381,f917(x44384,f917(x44382,a904)),f917(x44382,a904)),f329(f329(f8(f917(x44384,a904),f917(f917(x44384,f917(x44382,a904)),f917(x44382,a904)),x44381),f40(x44384,f917(x44382,a904))),x44385)),x44386)),f329(f329(f40(x44384,f917(x44382,a904)),f329(f329(f40(x44381,f917(x44384,a904)),x44383),x44385)),x44386))
% 192.21/192.21 [4439]E(f329(f329(f41(x44391,f917(x44392,a904)),x44393),f329(f329(f7(x44391,f917(x44394,f917(x44392,a904)),f917(x44392,a904)),f329(f329(f8(f917(x44394,a904),f917(f917(x44394,f917(x44392,a904)),f917(x44392,a904)),x44391),f41(x44394,f917(x44392,a904))),x44395)),x44396)),f329(f329(f41(x44394,f917(x44392,a904)),f329(f329(f40(x44391,f917(x44394,a904)),x44393),x44395)),x44396))
% 192.21/192.21 [4491]E(f329(f262(x44911,x44912,f916(x44913,x44914)),f329(f329(f7(x44911,f917(x44912,x44914),f917(x44912,f916(x44913,x44914))),f329(f329(f8(f917(x44914,f916(x44913,x44914)),f917(f917(x44912,x44914),f917(x44912,f916(x44913,x44914))),x44911),f8(x44914,f916(x44913,x44914),x44912)),f329(f329(f8(x44913,f917(x44914,f916(x44913,x44914)),x44911),f257(x44913,x44914)),x44915))),x44916)),f263(x44911,x44913,x44912,x44914,x44915,x44916))
% 192.21/192.21 [4514]E(f329(f312(x45141,x45142,f329(f329(f18(x45141,x45142,x45142),f329(f329(f18(x45141,x45142,f917(x45142,x45142)),f329(f329(f8(a904,f917(x45142,f917(x45142,x45142)),x45141),f99(x45142)),x45143)),x45144)),x45145)),x45146),f329(f329(f115(f917(x45142,a904)),f329(f312(x45141,x45142,x45144),f329(f329(f106(f917(x45141,a904)),x45146),f329(f267(x45141),x45143)))),f329(f312(x45141,x45142,x45145),f329(f329(f106(f917(x45141,a904)),x45146),f329(f267(x45141),f329(f329(f8(a904,a904,x45141),a324),x45143))))))
% 192.21/192.21 [4526]E(f329(f312(x45261,f916(x45262,x45263),f329(f329(f18(x45261,x45263,f916(x45262,x45263)),f329(f329(f8(x45262,f917(x45263,f916(x45262,x45263)),x45261),f257(x45262,x45263)),x45264)),x45265)),x45266),f329(f329(f259(x45262,x45263),f329(f312(x45261,x45262,x45264),x45266)),f329(f329(f8(f917(x45261,a904),f917(x45263,a904),x45262),f312(x45261,x45263,x45265)),f329(f329(f7(x45262,f917(x45261,a904),f917(x45261,a904)),f329(f329(f8(f917(x45261,a904),f917(f917(x45261,a904),f917(x45261,a904)),x45262),f106(f917(x45261,a904))),f329(f329(f8(f917(x45262,a904),f917(x45261,a904),x45262),f313(x45261,x45262,x45264)),f329(f329(f7(x45262,f917(x45262,a904),f917(x45262,a904)),f311(x45262)),f191(f917(x45262,a904)))))),x45266))))
% 192.21/192.21 [4551]E(f251(x45511,x45512,x45513,x45514,x45515,x45516),f329(x45514,f329(f267(x45511),f329(f329(f8(f917(f917(x45513,x45511),a904),a904,x45511),f89(f917(x45513,x45511))),f329(f329(f8(f917(f917(x45513,x45511),a904),f917(f917(x45513,x45511),a904),x45511),f329(f18(f917(x45513,x45511),a904,a904),f329(f329(f8(a904,f917(a904,a904),f917(x45513,x45511)),a327),f329(f329(f7(f917(x45513,x45511),f917(f917(x45513,x45511),a904),a904),f331(f917(x45513,x45511))),x45515)))),f329(f329(f7(x45511,f917(f917(x45513,x45511),x45511),f917(f917(x45513,x45511),a904)),f329(f329(f8(f917(x45511,a904),f917(f917(f917(x45513,x45511),x45511),f917(f917(x45513,x45511),a904)),x45511),f8(x45511,a904,f917(x45513,x45511))),a326)),f329(f329(f7(f917(x45513,x45511),x45513,x45511),f5(f917(x45513,x45511))),x45516)))))))
% 192.21/192.21 [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)))
% 192.21/192.21 [4474]E(f329(f261(x44741,x44742),f329(f263(x44743,x44741,x44744,x44742,x44745,x44746),x44747)),f329(x44746,f329(f261(x44743,x44744),x44747)))
% 192.21/192.21 [4475]E(f329(f256(x44751,x44752),f329(f263(x44753,x44751,x44754,x44752,x44755,x44756),x44757)),f329(x44755,f329(f256(x44753,x44754),x44757)))
% 192.21/192.21 [4189]E(f329(f329(f184(x41891,x41892),f329(f329(f162(x41891,x41893),x41894),x41895)),f329(f329(f162(x41892,x41896),x41894),x41897)),f329(f329(f162(f916(x41891,x41892),f329(f329(f184(x41891,x41892),x41893),x41896)),x41894),f329(f329(f257(x41891,x41892),x41895),x41897)))
% 192.21/192.21 [4256]E(f329(f329(f329(f264(x42561,x42562,x42563,x42564),x42565),x42566),x42567),f329(f329(f262(x42562,x42563,x42564),x42566),f329(x42565,x42567)))
% 192.21/192.21 [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))))
% 192.21/192.21 [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))
% 192.21/192.21 [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))))
% 192.21/192.21 [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))))
% 192.21/192.21 [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))
% 192.21/192.21 [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))
% 192.21/192.21 [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)))
% 192.21/192.21 [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)))
% 192.21/192.21 [4290]E(f329(f329(f262(x42901,x42902,x42903),f329(f74(x42904,f917(x42902,x42903),x42901,x42905),x42906)),x42907),f329(f329(x42905,f329(x42906,f329(f256(x42901,x42902),x42907))),f329(f261(x42901,x42902),x42907)))
% 192.21/192.21 [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,f917(x43711,x43711),x43715,x43713),x43716)),x43714),f329(f171(x43715),x43717)))
% 192.21/192.21 [4319]E(f329(f329(f40(x43191,f917(f916(x43192,x43193),a904)),x43194),f329(f329(f8(f917(f916(x43195,x43193),a904),f917(f916(x43192,x43193),a904),x43191),f329(f291(x43192,x43195,x43193),x43196)),x43197)),f329(f329(f291(x43192,x43195,x43193),x43196),f329(f329(f40(x43191,f917(f916(x43195,x43193),a904)),x43194),x43197)))
% 192.21/192.21 [4462]E(f329(f329(f40(x44621,f917(f916(x44622,x44623),a904)),x44624),f329(f329(f7(x44621,f917(f916(x44625,x44623),a904),f917(f916(x44622,x44623),a904)),f329(f329(f8(f917(f916(x44622,x44625),a904),f917(f917(f916(x44625,x44623),a904),f917(f916(x44622,x44623),a904)),x44621),f291(x44622,x44625,x44623)),x44626)),x44627)),f329(f329(f291(x44622,x44625,x44623),f329(f329(f40(x44621,f917(f916(x44622,x44625),a904)),x44624),x44626)),x44627))
% 192.21/192.21 [4463]E(f329(f145(x44631,x44632,f329(f329(f7(x44631,f917(x44632,x44633),f917(x44632,x44631)),f329(f329(f8(f917(x44633,x44631),f917(f917(x44632,x44633),f917(x44632,x44631)),x44631),f8(x44633,x44631,x44632)),x44634)),x44635),x44636),x44637),f329(f145(x44631,x44633,x44634,x44636),f329(f329(f157(x44632,x44633),x44635),x44637)))
% 192.21/192.21 [4524]E(f329(f329(f41(x45241,f917(x45242,a904)),x45243),f329(f329(f8(f917(x45244,f917(x45242,a904)),f917(x45242,a904),x45241),f329(f41(x45244,f917(x45242,a904)),x45245)),f329(f329(f7(x45241,f917(x45244,f917(x45242,a904)),f917(x45244,f917(x45242,a904))),f329(f329(f8(f917(f917(x45242,a904),f917(x45242,a904)),f917(f917(x45244,f917(x45242,a904)),f917(x45244,f917(x45242,a904))),x45241),f8(f917(x45242,a904),f917(x45242,a904),x45244)),f329(f329(f8(f917(x45242,a904),f917(f917(x45242,a904),f917(x45242,a904)),x45241),f115(f917(x45242,a904))),x45246))),x45247))),f329(f329(f115(f917(x45242,a904)),f329(f329(f41(x45241,f917(x45242,a904)),x45243),x45246)),f329(f329(f41(x45244,f917(x45242,a904)),x45245),x45247)))
% 192.21/192.21 [4525]E(f329(f329(f40(x45251,f917(x45252,a904)),x45253),f329(f329(f8(f917(x45254,f917(x45252,a904)),f917(x45252,a904),x45251),f329(f40(x45254,f917(x45252,a904)),x45255)),f329(f329(f7(x45251,f917(x45254,f917(x45252,a904)),f917(x45254,f917(x45252,a904))),f329(f329(f8(f917(f917(x45252,a904),f917(x45252,a904)),f917(f917(x45254,f917(x45252,a904)),f917(x45254,f917(x45252,a904))),x45251),f8(f917(x45252,a904),f917(x45252,a904),x45254)),f329(f329(f8(f917(x45252,a904),f917(f917(x45252,a904),f917(x45252,a904)),x45251),f106(f917(x45252,a904))),x45256))),x45257))),f329(f329(f106(f917(x45252,a904)),f329(f329(f40(x45251,f917(x45252,a904)),x45253),x45256)),f329(f329(f40(x45254,f917(x45252,a904)),x45255),x45257)))
% 192.21/192.21 [4517]E(f201(x45171,x45172,f329(f329(f329(x45173,x45174),x45175),x45176),f329(f329(f7(x45171,f916(a104,a104),f917(a104,f911(x45172))),f329(f329(f7(x45171,a104,f917(f916(a104,a104),f917(a104,f911(x45172)))),f329(f329(f7(x45171,a104,f917(a104,f917(f916(a104,a104),f917(a104,f911(x45172))))),x45177),x45174)),x45175)),x45176)),f329(f329(f329(f213(x45171,x45172,x45173,x45177),x45174),x45175),x45176))
% 192.21/192.21 [4531]E(f202(x45311,x45312,f329(f329(f329(x45313,x45314),x45315),x45316),f329(f329(f7(x45311,f916(a104,a104),f917(a104,f911(x45312))),f329(f329(f7(x45311,a104,f917(f916(a104,a104),f917(a104,f911(x45312)))),f329(f329(f7(x45311,a104,f917(a104,f917(f916(a104,a104),f917(a104,f911(x45312))))),x45317),x45314)),x45315)),x45316)),f215(x45311,x45312,x45313,x45317,x45314,x45315,x45316))
% 192.21/192.21 [4522]E(f199(x45221,x45222,f329(f329(f329(x45223,x45224),x45225),x45226),f329(f329(f7(x45221,f916(a104,a104),f917(a104,f911(f913(x45222)))),f329(f329(f7(x45221,a104,f917(f916(a104,a104),f917(a104,f911(f913(x45222))))),f329(f329(f7(x45221,a104,f917(a104,f917(f916(a104,a104),f917(a104,f911(f913(x45222)))))),x45227),x45224)),x45225)),x45226)),f329(f329(f329(f210(x45221,x45222,x45223,x45227),x45224),x45225),x45226))
% 192.21/192.21 [4533]E(f200(x45331,x45332,f329(f329(f329(x45333,x45334),x45335),x45336),f329(f329(f7(x45331,f916(a104,a104),f917(a104,f911(f913(x45332)))),f329(f329(f7(x45331,a104,f917(f916(a104,a104),f917(a104,f911(f913(x45332))))),f329(f329(f7(x45331,a104,f917(a104,f917(f916(a104,a104),f917(a104,f911(f913(x45332)))))),x45337),x45334)),x45335)),x45336)),f212(x45331,x45332,x45333,x45337,x45334,x45335,x45336))
% 192.21/192.21 [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)))
% 192.21/192.21 [4535]E(f329(f329(f157(f916(x45351,x45352),f916(x45353,x45354)),f329(f262(x45351,x45352,f916(x45353,x45354)),f329(f329(f7(x45351,f917(x45352,x45354),f917(x45352,f916(x45353,x45354))),f329(f329(f8(f917(x45354,f916(x45353,x45354)),f917(f917(x45352,x45354),f917(x45352,f916(x45353,x45354))),x45351),f8(x45354,f916(x45353,x45354),x45352)),f329(f329(f8(x45353,f917(x45354,f916(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)))
% 192.21/192.21 [4538]E(f329(f329(f157(f916(x45381,x45382),x45383),f329(f262(x45381,x45382,x45383),f329(f329(f8(f917(x45382,f916(x45381,x45384)),f917(x45382,x45383),x45381),f329(f8(f916(x45381,x45384),x45383,x45382),x45385)),f329(f329(f7(x45381,f917(x45382,x45384),f917(x45382,f916(x45381,x45384))),f329(f329(f8(f917(x45384,f916(x45381,x45384)),f917(f917(x45382,x45384),f917(x45382,f916(x45381,x45384))),x45381),f8(x45384,f916(x45381,x45384),x45382)),f257(x45381,x45384))),x45386)))),f329(f329(f184(x45381,x45382),x45387),x45388)),f329(f329(f157(f916(x45381,x45384),x45383),x45385),f329(f329(f184(x45381,x45384),x45387),f329(f329(f157(x45382,x45384),x45386),x45388))))
% 192.21/192.21 [4466]E(f329(f329(f157(f916(x44661,x44662),x44663),f329(f262(x44661,x44662,x44663),f329(f329(f8(f917(x44662,f916(x44664,x44662)),f917(x44662,x44663),x44661),f329(f8(f916(x44664,x44662),x44663,x44662),x44665)),f329(f329(f8(x44664,f917(x44662,f916(x44664,x44662)),x44661),f257(x44664,x44662)),x44666)))),f329(f329(f184(x44661,x44662),x44667),x44668)),f329(f329(f157(f916(x44664,x44662),x44663),x44665),f329(f329(f184(x44664,x44662),f329(f329(f157(x44661,x44664),x44666),x44667)),x44668)))
% 192.21/192.21 [4423]E(f329(f329(f262(x44231,x44232,x44233),f329(f329(f8(f917(x44232,f916(x44234,x44235)),f917(x44232,x44233),x44231),f329(f8(f916(x44234,x44235),x44233,x44232),f329(f262(x44234,x44235,x44233),x44236))),x44237)),x44238),f329(f329(f262(x44234,x44235,x44233),x44236),f329(f329(f262(x44231,x44232,f916(x44234,x44235)),x44237),x44238)))
% 192.21/192.21 [4539]E(f329(f329(f40(f916(x45391,x45392),f917(f916(x45393,x45394),a904)),f329(f329(f259(x45391,x45392),x45395),f329(f16(f917(x45392,a904),x45391),x45396))),f329(f262(x45391,x45392,f917(f916(x45393,x45394),a904)),f329(f329(f7(x45391,f917(x45392,f917(x45393,f917(x45394,a904))),f917(x45392,f917(f916(x45393,x45394),a904))),f329(f329(f8(f917(f917(x45393,f917(x45394,a904)),f917(f916(x45393,x45394),a904)),f917(f917(x45392,f917(x45393,f917(x45394,a904))),f917(x45392,f917(f916(x45393,x45394),a904))),x45391),f8(f917(x45393,f917(x45394,a904)),f917(f916(x45393,x45394),a904),x45392)),f329(f329(f8(f917(x45393,a904),f917(f917(x45393,f917(x45394,a904)),f917(f916(x45393,x45394),a904)),x45391),f259(x45393,x45394)),x45397))),f329(f329(f8(f917(x45394,a904),f917(x45393,f917(x45394,a904)),x45392),f16(f917(x45394,a904),x45393)),x45398)))),f329(f329(f259(x45393,x45394),f329(f329(f40(x45391,f917(x45393,a904)),x45395),x45397)),f329(f16(f917(x45394,a904),x45393),f329(f329(f40(x45392,f917(x45394,a904)),x45396),x45398))))
% 192.21/192.21 [4480]E(f329(f329(f264(x44801,x44802,x44803,x44804),f329(f329(f264(x44801,x44805,x44806,f916(x44802,x44803)),x44807),x44808)),x44809),f329(f329(f264(x44801,x44805,x44806,x44804),x44807),f329(f329(f7(x44805,f917(x44802,f917(x44803,x44804)),f917(x44806,x44804)),f329(f329(f8(f917(x44806,f916(x44802,x44803)),f917(f917(x44802,f917(x44803,x44804)),f917(x44806,x44804)),x44805),f264(x44806,x44802,x44803,x44804)),x44808)),x44809)))
% 192.21/192.21 [4509]E(f329(f74(f916(x45091,x45092),f916(x45093,x45094),f916(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)))
% 192.21/192.21 [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))
% 192.21/192.21 [4673]~P8(x46731)+P8(f913(x46731))
% 192.21/192.21 [4674]~P69(x46741)+P69(f913(x46741))
% 192.21/192.21 [4675]~P107(x46751)+P107(f910(x46751))
% 192.21/192.21 [4678]~P147(x46781)+~E(f80(x46781),f2(x46781))
% 192.21/192.21 [4680]~E(x46801,f2(a104))+E(f329(a22,x46801),f2(a1))
% 192.21/192.21 [4681]~E(x46811,f2(a1))+E(f84(a1,x46811),f2(a1))
% 192.21/192.21 [4687]~P109(x46871)+P36(x46871,f2(x46871))
% 192.21/192.21 [4689]~P112(x46891)+P19(x46891,f118(x46891))
% 192.21/192.21 [4698]P1(x46981)+P1(f329(a324,x46981))
% 192.21/192.21 [4752]~P109(x47521)+~P36(x47521,f80(x47521))
% 192.21/192.21 [4794]~P1(x47941)+~P1(f329(a324,x47941))
% 192.21/192.21 [4815]E(f329(a109,x48151),f2(a909))+~P1(f329(a196,x48151))
% 192.21/192.21 [4881]~P103(x48811)+P20(x48811,x48811,f115(x48811))
% 192.21/192.21 [4882]~P104(x48821)+P20(x48821,x48821,f106(x48821))
% 192.21/192.21 [4883]~P99(x48831)+P20(x48831,x48831,f83(x48831))
% 192.21/192.21 [4884]~P112(x48841)+P20(x48841,x48841,f237(x48841))
% 192.21/192.21 [4885]~P112(x48851)+P20(x48851,x48851,f238(x48851))
% 192.21/192.21 [4886]~P75(x48861)+P22(x48861,x48861,f83(x48861))
% 192.21/192.21 [4684]~E(x46841,f2(a909))+E(f329(f105(a1),x46841),f2(a1))
% 192.21/192.21 [4691]~P96(x46911)+E(f329(f108(x46911),a85),f2(x46911))
% 192.21/192.21 [4694]~E(f568(x46941),f2(a909))+E(f329(f168(a909),x46941),f2(a909))
% 192.21/192.21 [4695]~P114(x46951)+E(f241(x46951,f239(x46951)),f237(x46951))
% 192.21/192.21 [4696]~P114(x46961)+E(f242(x46961,f239(x46961)),f238(x46961))
% 192.21/192.21 [4697]~P93(x46971)+E(f84(x46971,f2(x46971)),f2(x46971))
% 192.21/192.21 [4706]~P109(x47061)+E(f329(f105(x47061),f2(a909)),f2(x47061))
% 192.21/192.21 [4707]~P109(x47071)+E(f329(f105(x47071),f80(a909)),f80(x47071))
% 192.21/192.21 [4708]~P129(x47081)+E(f329(f107(x47081),f2(a1)),f2(x47081))
% 192.21/192.21 [4709]~P129(x47091)+E(f329(f107(x47091),f80(a1)),f80(x47091))
% 192.21/192.21 [4710]E(x47101,f2(a909))+~E(f329(f105(a1),x47101),f2(a1))
% 192.21/192.21 [4746]~P89(x47461)+E(f329(f77(x47461),f2(x47461)),f2(x47461))
% 192.21/192.21 [4747]~P120(x47471)+E(f329(f77(x47471),f80(x47471)),f80(x47471))
% 192.21/192.21 [4748]~P98(x47481)+E(f329(f81(x47481),f191(x47481)),f247(x47481))
% 192.21/192.21 [4749]~P79(x47491)+E(f329(f81(x47491),f2(x47491)),f2(x47491))
% 192.21/192.21 [4750]~P98(x47501)+E(f329(f81(x47501),f247(x47501)),f191(x47501))
% 192.21/192.21 [4751]~P4(x47511)+E(f329(f168(x47511),f118(x47511)),f2(x47511))
% 192.21/192.21 [4770]~P43(x47701)+P48(f329(f175(a1),x47701))
% 192.21/192.21 [4799]~P96(x47991)+E(f329(f81(x47991),f80(x47991)),f329(f108(x47991),a102))
% 192.21/192.21 [4814]~P96(x48141)+P36(x48141,f329(f108(x48141),a85))
% 192.21/192.21 [4840]P43(x48401)+~P48(f329(f175(a1),x48401))
% 192.21/192.21 [4887]E(f329(f105(a1),f329(a109,x48871)),x48871)+P1(f329(a196,x48871))
% 192.21/192.21 [4957]~P118(x49571)+E(f250(x49571,f80(x49571),f83(x49571)),f249(x49571))
% 192.21/192.21 [4990]~P96(x49901)+~P36(x49901,f329(f108(x49901),a102))
% 192.21/192.21 [5138]E(f329(f77(a1),x51381),x51381)+P1(f329(f329(f240(a1),x51381),f2(a1)))
% 192.21/192.21 [5156]~E(f329(a109,x51561),f2(a909))+P1(f329(f329(f239(a1),x51561),f2(a1)))
% 192.21/192.21 [5224]~P1(f329(a196,x52241))+P1(f329(f329(f240(a1),x52241),f2(a1)))
% 192.21/192.21 [5266]~P109(x52661)+P1(f329(f329(f331(x52661),f2(x52661)),f189(x52661)))
% 192.21/192.21 [5267]~P129(x52671)+P1(f329(f329(f331(x52671),f2(x52671)),f114(x52671)))
% 192.21/192.21 [5268]~P109(x52681)+P1(f329(f329(f331(x52681),f80(x52681)),f189(x52681)))
% 192.21/192.21 [5269]~P129(x52691)+P1(f329(f329(f331(x52691),f80(x52691)),f114(x52691)))
% 192.21/192.21 [5270]~P126(x52701)+P1(f329(f329(f240(x52701),f2(x52701)),f80(x52701)))
% 192.21/192.21 [5271]~P126(x52711)+P1(f329(f329(f239(x52711),f2(x52711)),f80(x52711)))
% 192.21/192.21 [5324]E(x53241,f2(a909))+~P1(f329(f329(f239(a909),x53241),f2(a909)))
% 192.21/192.21 [5366]E(f329(a109,x53661),f2(a909))+~P1(f329(f329(f239(a1),x53661),f2(a1)))
% 192.21/192.21 [5428]P1(f329(a196,x54281))+~P1(f329(f329(f240(a1),x54281),f2(a1)))
% 192.21/192.21 [5435]~P112(x54351)+P22(x54351,f910(x54351),f151(x54351,x54351,f5(x54351)))
% 192.21/192.21 [5453]P48(x54531)+~P1(f329(f329(f239(a1),f2(a1)),f337(x54531)))
% 192.21/192.21 [5458]E(f329(f77(a1),x54581),f329(f81(a1),x54581))+~P1(f329(f329(f240(a1),x54581),f2(a1)))
% 192.21/192.21 [5626]~P126(x56261)+~P1(f329(f329(f240(x56261),f80(x56261)),f2(x56261)))
% 192.21/192.21 [5627]~P126(x56271)+~P1(f329(f329(f239(x56271),f80(x56271)),f2(x56271)))
% 192.21/192.21 [5641]~E(x56411,f2(a1))+P1(f329(f329(f240(a1),f329(f77(a1),x56411)),f80(a1)))
% 192.21/192.21 [5642]~E(x56421,f2(a909))+P1(f329(f329(f239(a1),f329(f105(a1),x56421)),f2(a1)))
% 192.21/192.21 [5764]~P4(x57641)+E(f145(x57641,x57641,f82(x57641),f2(x57641)),f168(x57641))
% 192.21/192.21 [5940]~P106(x59401)+P31(a909,x59401,f105(x59401),f247(f917(a909,a904)))
% 192.21/192.21 [6141]E(x61411,f2(a909))+~P1(f329(f329(f239(a1),f329(f105(a1),x61411)),f2(a1)))
% 192.21/192.21 [6142]E(x61421,f2(a1))+~P1(f329(f329(f240(a1),f329(f77(a1),x61421)),f80(a1)))
% 192.21/192.21 [6941]~P1(f329(f329(f240(a1),x69411),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x69411),x69411)),f2(a1)))
% 192.21/192.21 [7498]P1(f329(f329(f240(a1),x74981),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74981),x74981)),f2(a1)))
% 192.21/192.21 [8060]E(x80601,f329(a3,f2(a909)))+P1(f329(f329(f240(a909),f329(f329(f23(a909),f329(a20,x80601)),f329(a117,f2(a909)))),f329(a20,x80601)))
% 192.21/192.21 [8839]~P1(f329(f329(f240(a1),x88391),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88391),x88391)),a102)),f2(a1)))
% 192.21/192.21 [8928]~P1(f329(f329(f240(a1),x89281),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x89281)),x89281)),f2(a1)))
% 192.21/192.21 [9253]P1(f329(f329(f240(a1),x92531),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92531),x92531)),a102)),f2(a1)))
% 192.21/192.21 [9324]P1(f329(f329(f240(a1),x93241),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f82(a1),f80(a1)),x93241)),x93241)),f2(a1)))
% 192.21/192.21 [4788]~E(a85,x47881)+E(f329(f329(f82(a1),x47881),x47881),a85)
% 192.21/192.21 [4789]~E(x47891,a85)+E(f329(f329(f82(a1),x47891),x47891),a85)
% 192.21/192.21 [4800]E(x48001,f2(a1))+E(f329(f329(f37(a1),x48001),x48001),f80(a1))
% 192.21/192.21 [4934]E(x49341,a85)+~E(f329(f329(f82(a1),x49341),x49341),a85)
% 192.21/192.21 [4935]E(a85,x49351)+~E(f329(f329(f82(a1),x49351),x49351),a85)
% 192.21/192.21 [4947]~P11(x49471)+E(f39(x49471,f191(f917(x49471,a904))),f247(x49471))
% 192.21/192.21 [4948]~P11(x49481)+E(f39(x49481,f247(f917(x49481,a904))),f191(x49481))
% 192.21/192.21 [4949]~P11(x49491)+E(f38(x49491,f191(f917(x49491,a904))),f191(x49491))
% 192.21/192.21 [4950]~P11(x49501)+E(f38(x49501,f247(f917(x49501,a904))),f247(x49501))
% 192.21/192.21 [4951]~P112(x49511)+E(f142(x49511,f191(f917(x49511,a904))),f118(x49511))
% 192.21/192.21 [5094]E(x50941,f2(a909))+P1(f329(f329(f240(a909),f2(a909)),x50941))
% 192.21/192.21 [5113]~P12(x51131)+P1(f329(f329(f239(a1),f2(a1)),x51131))
% 192.21/192.21 [5147]~E(f329(f108(a909),x51471),f2(a909))+P1(f329(f329(f239(a1),x51471),a85))
% 192.21/192.21 [5152]P48(x51521)+P1(f329(f329(f331(a1),f337(x51521)),x51521))
% 192.21/192.21 [5153]E(x51531,f329(a3,f2(a909)))+P1(f329(f329(f239(a104),f80(a104)),x51531))
% 192.21/192.21 [5195]P1(f329(a196,x51951))+P1(f329(f329(f239(a1),f2(a1)),x51951))
% 192.21/192.21 [5248]E(f329(f105(a1),f329(a109,x52481)),f2(a1))+P1(f329(f329(f239(a1),f2(a1)),x52481))
% 192.21/192.21 [5306]E(f329(f105(a1),f329(f108(a909),x53061)),f329(f108(a1),x53061))+P1(f329(a196,f329(f108(a1),x53061)))
% 192.21/192.21 [5330]E(f329(f108(a909),x53301),f2(a909))+~P1(f329(a196,f329(f108(a1),x53301)))
% 192.21/192.21 [5331]E(f329(f108(a909),x53311),f2(a909))+~P1(f329(f329(f239(a1),x53311),a85))
% 192.21/192.21 [5363]P12(x53631)+~P1(f329(f329(f239(a1),f2(a1)),x53631))
% 192.21/192.21 [5438]E(f329(a117,f820(x54381)),x54381)+~P1(f329(f329(f240(a909),f2(a909)),x54381))
% 192.21/192.21 [5447]E(f329(a117,f329(f108(a909),x54471)),f80(a909))+~P1(f329(a196,f329(f108(a1),x54471)))
% 192.21/192.21 [5454]E(f329(f105(a1),f369(x54541)),x54541)+~P1(f329(f329(f240(a1),f2(a1)),x54541))
% 192.21/192.21 [5461]~E(x54611,f329(a3,f2(a909)))+~P1(f329(f329(f239(a104),f80(a104)),x54611))
% 192.21/192.21 [5468]E(f329(f105(a1),f329(f108(a909),x54681)),f2(a1))+~P1(f329(a196,f329(f108(a1),x54681)))
% 192.21/192.21 [5493]E(f329(f168(a909),x54931),f2(a909))+P1(f329(f329(f331(a909),f568(x54931)),f329(f175(a909),x54931)))
% 192.21/192.21 [5513]E(f329(f105(a1),f329(a109,x55131)),x55131)+~P1(f329(f329(f239(a1),f2(a1)),x55131))
% 192.21/192.21 [5521]~P1(f329(a196,x55211))+~P1(f329(f329(f239(a1),f2(a1)),x55211))
% 192.21/192.21 [5619]E(f329(f329(f82(a909),f80(a909)),f329(f108(a909),x56191)),f80(a909))+~P1(f329(f329(f240(a1),x56191),a85))
% 192.21/192.21 [5683]E(x56831,f2(a909))+~P1(f329(f329(f240(a909),x56831),f329(a117,f2(a909))))
% 192.21/192.21 [5722]E(f329(f329(f82(a909),f329(f108(a909),x57221)),f80(a909)),f80(a909))+~P1(f329(f329(f240(a1),x57221),a85))
% 192.21/192.21 [5723]E(f329(f329(f23(a909),f329(f108(a909),x57231)),f80(a909)),f2(a909))+~P1(f329(f329(f239(a1),x57231),a85))
% 192.21/192.21 [5735]~P48(x57351)+E(f329(f36(a909),f329(f312(a1,a909,a109),x57351)),f329(f36(a1),x57351))
% 192.21/192.21 [5765]~P112(x57651)+E(f241(x57651,f329(f7(x57651,x57651,a904),f239(x57651))),f238(x57651))
% 192.21/192.21 [5766]~P112(x57661)+E(f242(x57661,f329(f7(x57661,x57661,a904),f239(x57661))),f237(x57661))
% 192.21/192.21 [5776]E(f46(a909,f329(a117,f2(a909)),f329(f108(a909),x57761)),f329(a117,f2(a909)))+~P1(f329(a196,f329(f108(a1),x57761)))
% 192.21/192.21 [5786]P1(f329(f329(f240(a1),f2(a1)),x57861))+~P1(f329(f329(f239(a1),f80(a1)),x57861))
% 192.21/192.21 [5787]~P1(f329(f329(f240(a1),f2(a1)),x57871))+P1(f329(f329(f239(a1),f80(a1)),x57871))
% 192.21/192.21 [5798]E(f329(a117,f329(f329(f23(a909),x57981),f80(a909))),x57981)+~P1(f329(f329(f240(a909),f2(a909)),x57981))
% 192.21/192.21 [5854]P1(f329(f329(f240(a909),f2(a909)),f369(x58541)))+~P1(f329(f329(f240(a1),f2(a1)),x58541))
% 192.21/192.21 [5913]E(f46(a1,f329(f108(a1),a102),x59131),f329(f329(f23(a1),x59131),f80(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x59131))
% 192.21/192.21 [5953]~P1(f329(f329(f240(a1),a85),x59531))+P1(f329(f329(f240(a909),f2(a909)),f329(f108(a909),x59531)))
% 192.21/192.21 [5958]E(f329(a20,f834(x59581)),x59581)+~P1(f329(f329(f331(a909),x59581),f247(f917(a909,a904))))
% 192.21/192.21 [6006]P1(f329(f329(f240(a909),f2(a909)),f329(a109,x60061)))+~P1(f329(f329(f240(a1),f2(a1)),x60061))
% 192.21/192.21 [6055]~P1(f329(f329(f240(a909),f2(a909)),x60551))+P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x60551)))
% 192.21/192.21 [6092]~P1(f329(f329(f240(a909),f2(a909)),f329(a109,x60921)))+P1(f329(f329(f240(a1),f2(a1)),x60921))
% 192.21/192.21 [6109]~P48(x61091)+E(f329(f312(a909,a1,f105(a1)),f329(f312(a1,a909,a109),x61091)),x61091)
% 192.21/192.21 [6122]P1(f329(f329(f240(a1),a85),x61221))+~P1(f329(f329(f240(a909),f2(a909)),f329(f108(a909),x61221)))
% 192.21/192.21 [6180]P1(f329(f329(f240(a909),f2(a909)),x61801))+~P1(f329(f329(f240(a1),f2(a1)),f329(f105(a1),x61801)))
% 192.21/192.21 [6294]E(f329(f312(a909,a1,f105(a1)),f329(f285(a909),f329(a109,x62941))),f329(f304(a1,f2(a1)),x62941))+~P1(f329(f329(f239(a1),f2(a1)),x62941))
% 192.21/192.21 [6311]~P126(x63111)+P1(f329(f329(f240(x63111),f2(x63111)),f329(f329(f82(x63111),f80(x63111)),f80(x63111))))
% 192.21/192.21 [6360]P1(f329(f329(f240(a909),f329(a117,f2(a909))),f329(a109,x63601)))+~P1(f329(f329(f240(a1),f80(a1)),x63601))
% 192.21/192.21 [6457]E(x64571,f2(a1))+P1(f329(f50(f2(a1),x64571),f329(f329(f257(a1,a1),f2(a1)),f2(a1))))
% 192.21/192.21 [6628]~P1(f329(f329(f240(a909),f329(a117,f2(a909))),f329(a109,x66281)))+P1(f329(f329(f240(a1),f80(a1)),x66281))
% 192.21/192.21 [7052]~P110(x70521)+P44(x70521,f329(f267(f916(x70521,x70521)),f329(f262(x70521,x70521,a904),f240(x70521))))
% 192.21/192.21 [5670]E(f329(f108(a909),f329(f329(f23(a1),x56701),a102)),f329(a117,f329(f108(a909),x56701)))+P1(f329(a196,f329(f108(a1),x56701)))
% 192.21/192.21 [5686]~P43(x56861)+E(f329(f329(f157(a909,a1),f105(a1)),f329(f329(f157(a1,a909),a109),x56861)),x56861)
% 192.21/192.21 [5785]P34(a903,f329(a117,a922),x57851)+~P1(f329(f329(f331(f908(a903)),x57851),a921))
% 192.21/192.21 [5804]E(f329(f81(a1),f329(f105(a1),f329(a117,f446(x58041)))),x58041)+~P1(f329(f329(f240(a1),x58041),f2(a1)))
% 192.21/192.21 [5814]E(f329(f329(f82(a909),f80(a909)),f329(f108(a909),x58141)),f329(f108(a909),f329(f329(f23(a1),x58141),a102)))+P1(f329(f329(f240(a1),x58141),a85))
% 192.21/192.21 [5856]E(f329(f329(f37(a1),f329(f108(a1),a102)),x58561),f329(f108(a1),a102))+~P1(f329(f329(f240(a1),f2(a1)),x58561))
% 192.21/192.21 [5949]E(f329(f329(f82(a909),f329(f108(a909),x59491)),f80(a909)),f329(f108(a909),f329(f329(f23(a1),x59491),a102)))+P1(f329(f329(f240(a1),x59491),a85))
% 192.21/192.21 [5950]E(f329(f329(f23(a909),f329(f108(a909),x59501)),f80(a909)),f329(f108(a909),f329(f329(f82(a1),x59501),a102)))+P1(f329(f329(f239(a1),x59501),a85))
% 192.21/192.21 [5993]E(f329(a109,f329(f329(f82(a1),f80(a1)),x59931)),f329(a117,f329(a109,x59931)))+~P1(f329(f329(f239(a1),f2(a1)),x59931))
% 192.21/192.21 [6027]E(f329(a117,f329(f329(f23(a909),x60271),f329(a117,f2(a909)))),x60271)+~P1(f329(f329(f240(a909),f2(a909)),x60271))
% 192.21/192.21 [6246]E(f46(a909,f329(a117,f2(a909)),f329(f108(a909),x62461)),f329(a109,f46(a1,f80(a1),f329(f108(a1),x62461))))+P1(f329(a196,f329(f108(a1),x62461)))
% 192.21/192.21 [6287]~P1(f329(f329(f240(a1),a85),x62871))+P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x62871),x62871)))
% 192.21/192.21 [6288]~P1(f329(f329(f240(a1),a102),x62881))+P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x62881),x62881)))
% 192.21/192.21 [6289]~P1(f329(f329(f239(a1),a85),x62891))+P1(f329(f329(f239(a1),a85),f329(f329(f82(a1),x62891),x62891)))
% 192.21/192.21 [6290]~P1(f329(f329(f240(a1),a102),x62901))+P1(f329(f329(f239(a1),a102),f329(f329(f82(a1),x62901),x62901)))
% 192.21/192.21 [6470]~P1(f329(f62(x64701),f247(f917(x64701,a904))))+P1(f329(f62(f913(x64701)),f247(f917(f913(x64701),a904))))
% 192.21/192.21 [6559]~P1(f329(f329(f239(a1),f2(a1)),x65591))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f82(a1),f80(a1)),x65591)))
% 192.21/192.21 [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(f239(a1),f2(a1)),f329(f108(a1),x65661)))
% 192.21/192.21 [6586]E(f329(f261(a1,a1),f48(f80(a1),f329(f108(a1),x65861))),f46(a1,f80(a1),f329(f108(a1),x65861)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x65861)))
% 192.21/192.21 [6597]P1(f329(f62(x65971),f247(f917(x65971,a904))))+~P1(f329(f62(f913(x65971)),f247(f917(f913(x65971),a904))))
% 192.21/192.21 [6629]P1(f329(f329(f240(a1),a85),x66291))+~P1(f329(f329(f240(a1),a85),f329(f329(f82(a1),x66291),x66291)))
% 192.21/192.21 [6630]P1(f329(f329(f240(a1),a102),x66301))+~P1(f329(f329(f240(a1),a102),f329(f329(f82(a1),x66301),x66301)))
% 192.21/192.21 [6631]P1(f329(f329(f240(a1),a102),x66311))+~P1(f329(f329(f239(a1),a102),f329(f329(f82(a1),x66311),x66311)))
% 192.21/192.21 [6632]P1(f329(f329(f239(a1),a85),x66321))+~P1(f329(f329(f239(a1),a85),f329(f329(f82(a1),x66321),x66321)))
% 192.21/192.21 [6945]~P1(f329(f62(x69451),f247(f917(x69451,a904))))+P1(f329(f329(f240(a909),f2(a909)),f329(f36(x69451),f247(f917(x69451,a904)))))
% 192.21/192.21 [7541]P1(f329(f62(a909),x75411))+~P1(f329(f62(a1),f329(f312(a909,a1,f105(a1)),x75411)))
% 192.21/192.21 [5594]~E(a102,x55941)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55941),x55941)),a102),a102)
% 192.21/192.21 [5595]~E(x55951,a102)+E(f329(f329(f23(a1),f329(f329(f82(a1),x55951),x55951)),a102),a102)
% 192.21/192.21 [6117]E(x61171,a102)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61171),x61171)),a102),a102)
% 192.21/192.21 [6118]E(a102,x61181)+~E(f329(f329(f23(a1),f329(f329(f82(a1),x61181),x61181)),a102),a102)
% 192.21/192.21 [6527]~E(f329(f108(a909),x65271),f2(a909))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x65271),a102))))
% 192.21/192.21 [6875]~P1(f329(a196,f329(f108(a1),x68751)))+P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x68751),x68751))))
% 192.21/192.21 [6876]~P1(f329(f329(f240(a1),x68761),a85))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68761),x68761)),a85))
% 192.21/192.21 [6877]~P1(f329(f329(f239(a1),x68771),a102))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68771),x68771)),a102))
% 192.21/192.21 [6878]~P1(f329(f329(f239(a1),x68781),a85))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x68781),x68781)),a85))
% 192.21/192.21 [6879]~P1(f329(f329(f239(a1),x68791),a102))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x68791),x68791)),a102))
% 192.21/192.21 [7196]E(f329(f108(a909),x71961),f2(a909))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x71961),a102))))
% 192.21/192.21 [7451]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x74511)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f82(a1),x74511),x74511))))
% 192.21/192.21 [7452]P1(f329(a196,f329(f108(a1),x74521)))+~P1(f329(a196,f329(f108(a1),f329(f329(f82(a1),x74521),x74521))))
% 192.21/192.21 [7453]P1(f329(f329(f240(a1),x74531),a85))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74531),x74531)),a85))
% 192.21/192.21 [7454]P1(f329(f329(f239(a1),x74541),a85))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x74541),x74541)),a85))
% 192.21/192.21 [7455]P1(f329(f329(f239(a1),x74551),a102))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74551),x74551)),a102))
% 192.21/192.21 [7456]P1(f329(f329(f239(a1),x74561),a102))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x74561),x74561)),a102))
% 192.21/192.21 [7822]E(f329(a112,f561(x78221)),x78221)+~P1(f329(f329(f331(f917(f916(a909,a909),a904)),x78221),a103))
% 192.21/192.21 [6443]~P96(x64431)+E(f329(f108(x64431),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f80(x64431))
% 192.21/192.21 [6925]~P1(f329(a196,f329(f108(a1),x69251)))+E(f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),x69251),x69251)),a102)),f2(a909))
% 192.21/192.21 [8005]~P1(f329(f329(f240(a1),f329(f108(a1),x80051)),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f51(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x80051))))),f329(f329(f37(a1),f80(a1)),f329(f108(a1),x80051)))
% 192.21/192.21 [8018]~P1(f329(f329(f240(a1),f329(f108(a1),x80181)),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f51(f329(f81(a1),f80(a1)),f329(f81(a1),f329(f108(a1),x80181))))),f46(a1,f80(a1),f329(f108(a1),x80181)))
% 192.21/192.21 [8068]~P1(f329(f329(f239(a1),a85),x80681))+P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80681),x80681)),a102)))
% 192.24/192.21 [8069]~P1(f329(f329(f240(a1),a102),x80691))+P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80691),x80691)),a102)))
% 192.24/192.21 [8070]~P1(f329(f329(f239(a1),a85),x80701))+P1(f329(f329(f239(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x80701),x80701)),a102)))
% 192.24/192.21 [8071]~P1(f329(f329(f239(a1),a102),x80711))+P1(f329(f329(f239(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x80711),x80711)),a102)))
% 192.24/192.21 [8377]~P96(x83771)+~P36(x83771,f329(f108(x83771),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 192.24/192.21 [8562]P1(f329(f329(f240(a1),a102),x85621))+~P1(f329(f329(f240(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85621),x85621)),a102)))
% 192.24/192.21 [8563]P1(f329(f329(f239(a1),a85),x85631))+~P1(f329(f329(f240(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85631),x85631)),a102)))
% 192.24/192.21 [8564]P1(f329(f329(f239(a1),a85),x85641))+~P1(f329(f329(f239(a1),a85),f329(f329(f23(a1),f329(f329(f82(a1),x85641),x85641)),a102)))
% 192.24/192.21 [8565]P1(f329(f329(f239(a1),a102),x85651))+~P1(f329(f329(f239(a1),a102),f329(f329(f23(a1),f329(f329(f82(a1),x85651),x85651)),a102)))
% 192.24/192.21 [8882]E(f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),x88821),x88821)),a102)),f329(f329(f88(a909,a909),f329(f108(a909),x88821)),f329(f329(f8(a909,a909,a909),a117),f329(f329(f18(a909,a909,a909),f82(a909)),f5(a909)))))+P1(f329(a196,f329(f108(a1),x88821)))
% 192.24/192.21 [9745]E(x97451,f191(f917(f916(a909,a909),a904)))+P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x97451),f191(f917(f916(a909,a909),a904)))),a70))
% 192.24/192.21 [8813]~P1(f329(a196,f329(f108(a1),x88131)))+P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88131),x88131)),a102))))
% 192.24/192.21 [8814]~P1(f329(f329(f240(a1),x88141),a85))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88141),x88141)),a102)),a85))
% 192.24/192.21 [8815]~P1(f329(f329(f240(a1),x88151),a102))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88151),x88151)),a102)),a102))
% 192.24/192.21 [8816]~P1(f329(f329(f240(a1),x88161),a85))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88161),x88161)),a102)),a85))
% 192.24/192.21 [8817]~P1(f329(f329(f239(a1),x88171),a102))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x88171),x88171)),a102)),a102))
% 192.24/192.21 [8921]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x89211)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89211),x89211)),a102))))
% 192.24/192.21 [9081]~P96(x90811)+E(f329(f329(f82(x90811),f80(x90811)),f80(x90811)),f329(f108(x90811),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))))
% 192.24/192.21 [9237]P1(f329(a196,f329(f108(a1),x92371)))+~P1(f329(a196,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92371),x92371)),a102))))
% 192.24/192.21 [9238]P1(f329(f329(f240(a1),x92381),a85))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92381),x92381)),a102)),a85))
% 192.24/192.21 [9239]P1(f329(f329(f240(a1),x92391),a85))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92391),x92391)),a102)),a85))
% 192.24/192.21 [9240]P1(f329(f329(f240(a1),x92401),a102))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92401),x92401)),a102)),a102))
% 192.24/192.21 [9241]P1(f329(f329(f239(a1),x92411),a102))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92411),x92411)),a102)),a102))
% 192.24/192.21 [9790]~P1(f329(f62(f916(a909,a909)),x97901))+P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),f191(f917(f916(a909,a909),a904))),x97901)),a71))
% 192.24/192.21 [9572]~P109(x95721)+E(f329(f329(f249(x95721),f2(x95721)),f329(f108(a909),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(x95721))
% 192.24/192.21 [9573]~P109(x95731)+E(f329(f329(f249(x95731),f80(x95731)),f329(f108(a909),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(x95731))
% 192.24/192.21 [10012]~P1(f329(f329(f240(a909),f80(a909)),x100121))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f37(a909),x100121),f329(f108(a909),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))))))
% 192.24/192.21 [10018]~P1(f329(f329(f240(a909),f2(a909)),x100181))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f37(a909),f329(f329(f82(a909),x100181),f80(a909))),f329(f108(a909),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))))))
% 192.24/192.21 [10058]~E(f46(a909,x100581,f329(f108(a909),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(a909))+P1(f329(f329(f240(a909),f2(a909)),f46(a909,x100581,f329(f108(a909),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))))))
% 192.24/192.21 [10077]E(f46(a909,x100771,f329(f108(a909),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(a909))+~P1(f329(f329(f240(a909),f2(a909)),f46(a909,x100771,f329(f108(a909),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))))))
% 192.24/192.21 [4715]~P13(x47151,x47152)+P57(x47151,x47152)
% 192.24/192.21 [4716]~P44(x47161,x47162)+P66(x47161,x47162)
% 192.24/192.21 [4717]~P52(x47171,x47172)+P66(x47171,x47172)
% 192.24/192.21 [4719]~P13(x47191,x47192)+P58(x47191,x47192)
% 192.24/192.21 [4721]~P21(x47211,x47212)+P58(x47211,x47212)
% 192.24/192.21 [4723]~P13(x47231,x47232)+P59(x47231,x47232)
% 192.24/192.21 [4725]~P21(x47251,x47252)+P59(x47251,x47252)
% 192.24/192.21 [4726]~P13(x47261,x47262)+P21(x47261,x47262)
% 192.24/192.21 [4676]~E(x46761,x46762)+E(f274(x46761,x46762),f80(a104))
% 192.24/192.21 [4679]E(f220(x46791,x46792),x46791)+~E(x46792,f2(a909))
% 192.24/192.21 [4686]~E(x46862,f118(x46861))+E(f155(x46861,x46862),f118(x46861))
% 192.24/192.21 [4705]~E(f155(x47052,x47051),f118(x47052))+E(x47051,f118(x47052))
% 192.24/192.21 [4730]~P2(x47302)+P2(f917(x47301,x47302))
% 192.24/192.21 [4731]~P2(x47312)+P103(f917(x47311,x47312))
% 192.24/192.21 [4732]~P100(x47322)+P3(f917(x47321,x47322))
% 192.24/192.21 [4733]~P105(x47332)+P105(f917(x47331,x47332))
% 192.24/192.21 [4734]~P2(x47342)+P104(f917(x47341,x47342))
% 192.24/192.21 [4735]~P81(x47352)+P81(f917(x47351,x47352))
% 192.24/192.21 [4736]~P101(x47362)+P101(f917(x47361,x47362))
% 192.24/192.21 [4737]~P111(x47372)+P111(f917(x47371,x47372))
% 192.24/192.21 [4738]~P113(x47382)+P113(f917(x47381,x47382))
% 192.24/192.21 [4739]~P114(x47392)+P114(f917(x47391,x47392))
% 192.24/192.21 [4740]~P11(x47402)+P11(f917(x47401,x47402))
% 192.24/192.21 [4741]~P115(x47412)+P115(f917(x47411,x47412))
% 192.24/192.21 [4742]~P100(x47422)+P102(f917(x47421,x47422))
% 192.24/192.21 [4743]~P98(x47432)+P98(f917(x47431,x47432))
% 192.24/192.21 [4744]~P92(x47442)+P92(f917(x47441,x47442))
% 192.24/192.21 [4745]~P100(x47452)+P100(f917(x47451,x47452))
% 192.24/192.21 [4758]E(x47581,x47582)+~E(f329(a117,x47581),f329(a117,x47582))
% 192.24/192.21 [4759]E(x47591,x47592)+~E(f329(a26,x47591),f329(a26,x47592))
% 192.24/192.21 [4760]E(x47601,x47602)+~E(f329(a112,x47601),f329(a112,x47602))
% 192.24/192.21 [4761]E(x47611,x47612)+~E(f329(a3,x47611),f329(a3,x47612))
% 192.24/192.21 [4763]E(x47631,x47632)+~E(f329(a20,x47631),f329(a20,x47632))
% 192.24/192.21 [4816]P46(x48161,x48162)+~E(f728(x48162,x48161),f729(x48162,x48161))
% 192.24/192.21 [4846]~P66(x48461,x48462)+P46(x48461,f309(x48461,x48462))
% 192.24/192.21 [4847]~P60(x48471,x48472)+P60(x48471,f309(x48471,x48472))
% 192.24/192.21 [4860]~P9(x48601)+E(f46(x48601,x48602,x48602),f2(x48601))
% 192.24/192.21 [4894]~P44(x48941,x48942)+P44(f910(x48941),f149(x48941,x48942))
% 192.24/192.21 [4895]~P44(x48951,x48952)+P44(f910(x48951),f148(x48951,x48952))
% 192.24/192.21 [4896]~P45(x48961,x48962)+P45(f910(x48961),f150(x48961,x48962))
% 192.24/192.21 [4897]~P45(x48971,x48972)+P45(f910(x48971),f161(x48971,x48972))
% 192.24/192.21 [4898]~P60(x48981,x48982)+P60(f910(x48981),f161(x48981,x48982))
% 192.24/192.21 [4995]~P44(x49951,x49952)+P44(f917(x49951,a904),f320(x49951,x49952))
% 192.24/192.21 [4996]~P44(x49961,x49962)+P44(f917(x49961,a904),f322(x49961,x49962))
% 192.24/192.21 [5122]~P12(x51221)+P48(f305(a1,x51221,x51222))
% 192.24/192.21 [5227]~P44(x52271,x52272)+P68(x52271,f68(x52271,x52271,x52272))
% 192.24/192.21 [5729]~P87(x57291)+P31(x57291,x57291,f81(x57291),x57292)
% 192.24/192.21 [4700]~E(x47002,f118(x47001))+E(f329(f170(x47001),x47002),f118(x47001))
% 192.24/192.21 [4701]~E(x47012,f118(x47011))+E(f329(f171(x47011),x47012),f118(x47011))
% 192.24/192.21 [4765]E(x47651,f329(a109,x47652))+~E(f329(f105(a1),x47651),x47652)
% 192.24/192.21 [4768]E(x47681,f118(x47682))+~E(f329(f170(x47682),x47681),f118(x47682))
% 192.24/192.21 [4769]E(x47691,f118(x47692))+~E(f329(f171(x47692),x47691),f118(x47692))
% 192.24/192.21 [4785]~P96(x47851)+E(f329(f108(x47851),x47852),f329(f107(x47851),x47852))
% 192.24/192.21 [4793]~P8(x47931)+P1(f329(f62(x47931),x47932))
% 192.24/192.21 [4801]~E(f689(x48012,x48011),f118(x48011))+E(f182(x48011,x48012),f118(f910(x48011)))
% 192.24/192.21 [4810]~E(x48102,f118(x48101))+E(f329(f175(x48101),x48102),f191(f917(x48101,a904)))
% 192.24/192.21 [4811]~E(x48112,f118(x48111))+E(f191(f917(x48111,a904)),f329(f175(x48111),x48112))
% 192.24/192.21 [4813]E(x48131,x48132)+~E(f329(f105(a1),x48131),f329(f105(a1),x48132))
% 192.24/192.21 [4817]E(f218(x48171,x48172),f2(a909))+P1(f329(f62(x48171),x48172))
% 192.24/192.21 [4835]~P120(x48351)+E(f84(x48351,f84(x48351,x48352)),f84(x48351,x48352))
% 192.24/192.21 [4849]~P116(x48491)+E(f329(f329(f249(x48491),x48492),f80(a909)),x48492)
% 192.24/192.21 [4850]~P85(x48501)+E(f329(f329(f249(x48501),x48502),f80(a909)),x48502)
% 192.24/192.21 [4851]~P60(x48511,x48512)+E(f329(f289(x48511,x48511),x48512),x48512)
% 192.24/192.21 [4855]E(x48551,x48552)+E(f274(x48551,x48552),f329(f329(f82(a104),x48552),f80(a104)))
% 192.24/192.21 [4858]E(f329(f36(x48581),x48582),f2(a909))+P1(f329(f62(x48581),x48582))
% 192.24/192.21 [4861]~E(f155(x48611,x48612),x48612)+P1(f329(f140(x48611),x48612))
% 192.24/192.21 [4864]~P3(x48641)+E(f329(f329(f115(x48641),x48642),f191(x48641)),x48642)
% 192.24/192.21 [4865]~P4(x48651)+E(f329(f329(f82(x48651),x48652),f2(x48651)),x48652)
% 192.24/192.21 [4866]~P116(x48661)+E(f329(f329(f82(x48661),x48662),f2(x48661)),x48662)
% 192.24/192.21 [4867]~P77(x48671)+E(f329(f329(f82(x48671),x48672),f2(x48671)),x48672)
% 192.24/192.21 [4868]~P79(x48681)+E(f329(f329(f23(x48681),x48682),f2(x48681)),x48682)
% 192.24/192.21 [4869]~P102(x48691)+E(f329(f329(f106(x48691),x48692),f247(x48691)),x48692)
% 192.24/192.21 [4870]~P116(x48701)+E(f329(f329(f83(x48701),x48702),f80(x48701)),x48702)
% 192.24/192.21 [4871]~P80(x48711)+E(f329(f329(f83(x48711),x48712),f80(x48711)),x48712)
% 192.24/192.21 [4872]~P85(x48721)+E(f329(f329(f83(x48721),x48722),f80(x48721)),x48722)
% 192.24/192.21 [4873]~P9(x48731)+E(f329(f329(f37(x48731),x48732),f80(x48731)),x48732)
% 192.24/192.21 [4874]~P123(x48741)+E(f329(f329(f292(x48741),x48742),f80(x48741)),x48742)
% 192.24/192.21 [4875]~P116(x48751)+E(f329(f329(f249(x48751),x48752),f2(a909)),f80(x48751))
% 192.24/192.21 [4876]~P118(x48761)+E(f329(f329(f249(x48761),x48762),f2(a909)),f80(x48761))
% 192.24/192.21 [4877]~E(x48772,f191(f917(x48771,a904)))+E(f329(f36(x48771),x48772),f2(a909))
% 192.24/192.21 [4888]~P9(x48881)+E(f46(x48881,x48882,f2(x48881)),x48882)
% 192.24/192.21 [4899]~P102(x48991)+E(f329(f329(f115(x48991),x48992),f247(x48991)),f247(x48991))
% 192.24/192.21 [4900]~P3(x49001)+E(f329(f329(f106(x49001),x49002),f191(x49001)),f191(x49001))
% 192.24/192.21 [4901]~P116(x49011)+E(f329(f329(f83(x49011),x49012),f2(x49011)),f2(x49011))
% 192.24/192.21 [4902]~P137(x49021)+E(f329(f329(f83(x49021),x49022),f2(x49021)),f2(x49021))
% 192.24/192.21 [4903]~P9(x49031)+E(f329(f329(f37(x49031),x49032),f2(x49031)),f2(x49031))
% 192.24/192.21 [4904]~P124(x49041)+E(f329(f329(f292(x49041),x49042),f2(x49041)),f2(x49041))
% 192.24/192.21 [4906]~P9(x49061)+E(f46(x49061,x49062,f80(x49061)),f2(x49061))
% 192.24/192.21 [4907]~P9(x49071)+E(f46(x49071,f2(x49071),x49072),f2(x49071))
% 192.24/192.21 [4936]E(x49361,f2(a909))+E(f56(x49362,x49361,f118(x49362)),f118(f910(x49362)))
% 192.24/192.21 [4959]P60(x49591,x49592)+~E(f329(f289(x49591,x49591),x49592),x49592)
% 192.24/192.21 [4960]P44(x49601,x49602)+~E(f569(x49602,x49601),f191(f917(x49601,a904)))
% 192.24/192.21 [4961]E(x49611,f118(x49612))+~E(f329(f175(x49612),x49611),f191(f917(x49612,a904)))
% 192.24/192.21 [4962]E(x49621,f118(x49622))+~E(f191(f917(x49622,a904)),f329(f175(x49622),x49621))
% 192.24/192.21 [4965]~E(x49651,x49652)+P1(f329(f329(a326,x49651),x49652))
% 192.24/192.21 [4975]P1(x49751)+P1(f329(f329(a332,x49751),x49752))
% 192.24/192.21 [4976]E(x49761,f118(x49762))+E(f329(f329(f167(x49762),x49761),f2(a909)),f329(f144(x49762),x49761))
% 192.24/192.21 [4979]E(f155(x49791,x49792),x49792)+~P1(f329(f140(x49791),x49792))
% 192.24/192.21 [4986]~P1(x49862)+P1(f329(f329(a328,x49861),x49862))
% 192.24/192.21 [4987]~P1(x49871)+P1(f329(f329(a328,x49871),x49872))
% 192.24/192.21 [4988]~P1(x49882)+P1(f329(f329(a332,x49881),x49882))
% 192.24/192.21 [4998]~E(f690(x49982,x49981),f694(x49982,x49981))+P1(f329(f140(x49981),x49982))
% 192.24/192.21 [5005]E(f329(f267(x50051),x50052),f191(f917(x50051,a904)))+P1(f329(x50052,f335(x50052)))
% 192.24/192.21 [5006]E(f191(f917(x50061,a904)),f329(f267(x50061),x50062))+P1(f329(x50062,f336(x50062)))
% 192.24/192.21 [5076]~P120(x50761)+E(f329(f329(f83(x50761),x50762),f84(x50761,x50762)),f329(f77(x50761),x50762))
% 192.24/192.21 [5087]~E(x50871,f2(a1))+E(f47(x50871,x50872),f329(f329(f257(a1,a1),f2(a1)),f2(a1)))
% 192.24/192.21 [5118]~P66(x51181,x51182)+P66(x51181,f329(f289(x51181,x51181),x51182))
% 192.24/192.21 [5119]~P45(x51191,x51192)+P45(x51191,f329(f289(x51191,x51191),x51192))
% 192.24/192.21 [5120]~P46(x51201,x51202)+P46(x51201,f329(f289(x51201,x51201),x51202))
% 192.24/192.21 [5121]~P60(x51211,x51212)+P60(x51211,f329(f289(x51211,x51211),x51212))
% 192.24/192.21 [5143]E(x51431,x51432)+~P1(f329(f329(a326,x51431),x51432))
% 192.24/192.21 [5154]P1(x51541)+~P1(f329(f329(a327,x51542),x51541))
% 192.24/192.21 [5155]P1(x51551)+~P1(f329(f329(a327,x51551),x51552))
% 192.24/192.21 [5160]~P115(x51601)+P1(f329(f329(f239(x51601),x51602),f247(x51601)))
% 192.24/192.21 [5164]E(x51641,x51642)+~E(f329(x51641,f426(x51642,x51641)),f329(x51642,f426(x51642,x51641)))
% 192.24/192.21 [5197]E(x51971,f2(a909))+E(f220(x51971,f46(a909,x51972,x51971)),f220(x51972,x51971))
% 192.24/192.21 [5202]~P112(x52021)+P19(x52021,f329(f329(f154(x52021),x52022),f118(x52021)))
% 192.24/192.21 [5206]E(x52061,f2(a1))+P1(f329(f50(x52062,x52061),f47(x52062,x52061)))
% 192.24/192.21 [5222]~P21(x52222,x52221)+P1(f329(f329(x52221,f826(x52221)),f826(x52221)))
% 192.24/192.21 [5225]~E(x52251,x52252)+P1(f329(f329(f240(a909),x52251),f329(a117,x52252)))
% 192.24/192.21 [5235]~E(x52351,f2(a909))+P1(f329(f329(f240(a909),x52351),f329(a117,x52352)))
% 192.24/192.21 [5247]P1(f329(x52471,x52472))+P1(f329(f329(f239(a1),f2(a1)),f339(x52471)))
% 192.24/192.21 [5311]P66(x53111,x53112)+~P66(x53111,f329(f289(x53111,x53111),x53112))
% 192.24/192.21 [5312]P45(x53121,x53122)+~P45(x53121,f329(f289(x53121,x53121),x53122))
% 192.24/192.21 [5313]P46(x53131,x53132)+~P46(x53131,f329(f289(x53131,x53131),x53132))
% 192.24/192.21 [5314]P60(x53141,x53142)+~P60(x53141,f329(f289(x53141,x53141),x53142))
% 192.24/192.21 [5317]~E(f46(a909,x53172,x53171),f2(a909))+E(f329(f329(f83(a909),x53171),f367(x53171,x53172)),x53172)
% 192.24/192.21 [5318]~E(f46(a1,x53182,x53181),f2(a1))+E(f329(f329(f83(a1),x53181),f368(x53181,x53182)),x53182)
% 192.24/192.21 [5344]~P1(f329(x53441,x53442))+P1(f329(f329(f239(a1),f2(a1)),f338(x53441)))
% 192.24/192.21 [5355]E(f329(f329(f23(a909),f329(a109,x53551)),f329(a109,x53552)),f329(a109,x53551))+~P1(f329(a196,x53552))
% 192.24/192.21 [5384]E(f275(x53841,x53842),f80(a104))+~P1(f329(f329(f239(a104),x53841),f80(a104)))
% 192.24/192.21 [5479]E(f329(f329(f167(x54791),x54792),f690(x54792,x54791)),f329(f329(f167(x54791),x54792),f694(x54792,x54791)))+P1(f329(f140(x54791),x54792))
% 192.24/192.21 [5522]~P1(f329(x55221,f92(x55222,x55221)))+P1(f329(x55221,f583(x55222,x55221)))
% 192.24/192.21 [5584]P68(x55841,x55842)+~P1(f329(f317(x55841,x55842),f539(x55842,x55841)))
% 192.24/192.21 [5726]~P21(x57262,x57261)+P1(f329(f329(x57261,f827(x57261,x57262)),f827(x57261,x57262)))
% 192.24/192.21 [5727]~P21(x57272,x57271)+P1(f329(f329(x57271,f830(x57271,x57272)),f830(x57271,x57272)))
% 192.24/192.21 [5736]~E(f329(a117,f46(a909,x57361,x57362)),x57362)+E(f46(a909,f329(a117,x57361),x57362),f2(a909))
% 192.24/192.21 [5793]P44(x57931,x57932)+P1(f329(f329(f331(x57931),f609(x57932,x57931)),f610(x57932,x57931)))
% 192.24/192.21 [5800]~P109(x58001)+P1(f329(f329(f331(x58001),f329(f105(x58001),x58002)),f189(x58001)))
% 192.24/192.21 [5801]~P129(x58011)+P1(f329(f329(f331(x58011),f329(f105(x58011),x58012)),f114(x58011)))
% 192.24/192.21 [5802]~P129(x58021)+P1(f329(f329(f331(x58021),f329(f107(x58021),x58022)),f114(x58021)))
% 192.24/192.21 [5803]~P96(x58031)+P1(f329(f329(f331(x58031),f329(f108(x58031),x58032)),f114(x58031)))
% 192.24/192.21 [5935]~P45(x59351,x59352)+E(f329(f329(f291(x59351,x59351,x59351),x59352),f309(x59351,x59352)),x59352)
% 192.24/192.21 [5952]E(f329(a117,f46(a909,x59521,x59522)),x59522)+E(f46(a909,f329(a117,x59521),x59522),f329(a117,f46(a909,x59521,x59522)))
% 192.24/192.21 [6372]P44(x63721,x63722)+~P1(f329(f329(f331(x63721),f510(x63722,x63721)),f318(x63721,x63722)))
% 192.24/192.21 [6409]~P126(x64091)+~P1(f329(f329(f240(x64091),f329(f105(x64091),x64092)),f2(x64091)))
% 192.24/192.21 [6410]~P89(x64101)+~P1(f329(f329(f240(x64101),f329(f77(x64101),x64102)),f2(x64101)))
% 192.24/192.21 [6499]P1(f329(f329(f240(a1),x64991),f46(a1,x64992,x64991)))+~P1(f329(f329(f240(a1),x64991),f2(a1)))
% 192.24/192.21 [6599]E(f329(f329(f311(a909),f329(a117,x65991)),f305(a909,x65992,x65991)),f305(a909,x65992,f329(a117,x65991)))+~P1(f329(f329(f239(a909),x65992),f329(a117,x65991)))
% 192.24/192.21 [6690]~P112(x66901)+P19(x66901,f153(x66901,x66901,f5(x66901),x66902))
% 192.24/192.21 [6820]E(f329(f170(x68201),x68202),x68202)+~P1(f329(f329(f239(a909),f329(f192(f910(x68201)),x68202)),f80(a909)))
% 192.24/192.21 [6839]~P89(x68391)+P1(f329(f329(f239(x68391),f329(f81(x68391),f329(f77(x68391),x68392))),f2(x68391)))
% 192.24/192.21 [6871]~P44(x68711,x68712)+P44(x68711,f329(f329(f291(x68711,x68711,x68711),x68712),f309(x68711,x68712)))
% 192.24/192.21 [6872]~P60(x68721,x68722)+P60(x68721,f329(f329(f291(x68721,x68721,x68721),x68722),f309(x68721,x68722)))
% 192.24/192.21 [7091]~P1(f329(f329(f240(a1),x70912),f2(a1)))+P1(f329(f329(f239(a1),f46(a1,x70911,x70912)),f2(a1)))
% 192.24/192.21 [7495]~P109(x74951)+E(f193(x74951,f329(f329(f7(x74951,x74951,x74951),f82(x74951)),f80(x74951)),x74952,f2(x74951)),f329(f105(x74951),x74952))
% 192.24/192.21 [7526]~P127(x75261)+~P1(f329(f329(f240(x75261),f329(f329(f83(x75261),x75262),x75262)),f2(x75261)))
% 192.24/192.21 [10163]~P120(x101631)+~P1(f329(f329(f240(x101631),f329(f329(f249(x101631),x101632),f329(f108(a909),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(x101631)))
% 192.24/192.21 [4766]~E(x47662,f118(x47661))+E(f329(f192(f910(x47661)),x47662),f2(a909))
% 192.24/192.21 [4802]~E(x48021,f2(a909))+E(f329(f329(f82(a909),x48021),x48022),x48022)
% 192.24/192.21 [4803]~E(x48032,f2(a909))+E(f329(f329(f83(a909),x48031),x48032),f2(a909))
% 192.24/192.21 [4805]~E(x48051,f2(a909))+E(f329(f329(f83(a909),x48051),x48052),f2(a909))
% 192.24/192.21 [4806]~E(x48062,f2(a909))+E(f329(f329(f249(a909),x48061),x48062),f80(a909))
% 192.24/192.21 [4807]~E(x48072,f2(a1))+E(f329(f329(f37(a1),x48071),x48072),f2(a1))
% 192.24/192.21 [4818]E(x48181,f118(x48182))+~E(f329(f192(f910(x48182)),x48181),f2(a909))
% 192.24/192.21 [4819]~P2(x48191)+E(f329(f329(f115(x48191),x48192),x48192),x48192)
% 192.24/192.21 [4821]~P103(x48211)+E(f329(f329(f115(x48211),x48212),x48212),x48212)
% 192.24/192.21 [4822]~P2(x48221)+E(f329(f329(f106(x48221),x48222),x48222),x48222)
% 192.24/192.21 [4824]~P104(x48241)+E(f329(f329(f106(x48241),x48242),x48242),x48242)
% 192.24/192.21 [4826]~P99(x48261)+E(f329(f329(f83(x48261),x48262),x48262),x48262)
% 192.24/192.21 [4828]~P112(x48281)+E(f329(f329(f237(x48281),x48282),x48282),x48282)
% 192.24/192.21 [4830]~P112(x48301)+E(f329(f329(f238(x48301),x48302),x48302),x48302)
% 192.24/192.21 [4848]~P79(x48481)+E(f329(f329(f23(x48481),x48482),x48482),f2(x48481))
% 192.24/192.21 [4862]~P79(x48621)+E(f329(f81(x48621),f329(f81(x48621),x48622)),x48622)
% 192.24/192.21 [4863]~P98(x48631)+E(f329(f81(x48631),f329(f81(x48631),x48632)),x48632)
% 192.24/192.21 [4880]~E(x48802,f2(a909))+E(f329(f329(f249(a909),x48801),x48802),f329(a117,f2(a909)))
% 192.24/192.21 [4915]~P3(x49151)+E(f329(f329(f115(x49151),f191(x49151)),x49152),x49152)
% 192.24/192.21 [4916]~P4(x49161)+E(f329(f329(f82(x49161),f2(x49161)),x49162),x49162)
% 192.24/192.21 [4917]~P116(x49171)+E(f329(f329(f82(x49171),f2(x49171)),x49172),x49172)
% 192.24/192.21 [4918]~P77(x49181)+E(f329(f329(f82(x49181),f2(x49181)),x49182),x49182)
% 192.24/192.21 [4919]~P102(x49191)+E(f329(f329(f106(x49191),f247(x49191)),x49192),x49192)
% 192.24/192.21 [4920]~P116(x49201)+E(f329(f329(f83(x49201),f80(x49201)),x49202),x49202)
% 192.24/192.21 [4921]~P80(x49211)+E(f329(f329(f83(x49211),f80(x49211)),x49212),x49212)
% 192.24/192.21 [4922]~P85(x49221)+E(f329(f329(f83(x49221),f80(x49221)),x49222),x49222)
% 192.24/192.21 [4940]~P102(x49401)+E(f329(f329(f115(x49401),f247(x49401)),x49402),f247(x49401))
% 192.24/192.21 [4941]~P3(x49411)+E(f329(f329(f106(x49411),f191(x49411)),x49412),f191(x49411))
% 192.24/192.21 [4942]~P116(x49421)+E(f329(f329(f83(x49421),f2(x49421)),x49422),f2(x49421))
% 192.24/192.21 [4943]~P137(x49431)+E(f329(f329(f83(x49431),f2(x49431)),x49432),f2(x49431))
% 192.24/192.21 [4944]~P85(x49441)+E(f329(f329(f249(x49441),f80(x49441)),x49442),f80(x49441))
% 192.24/192.21 [4945]~P9(x49451)+E(f329(f329(f37(x49451),f2(x49451)),x49452),f2(x49451))
% 192.24/192.21 [4946]~P123(x49461)+E(f329(f329(f292(x49461),f2(x49461)),x49462),f2(x49461))
% 192.24/192.21 [4954]E(x49541,f118(x49542))+E(f147(x49542,f329(f171(x49542),x49541)),f329(f144(x49542),x49541))
% 192.24/192.21 [4955]E(x49551,f118(x49552))+E(f329(f144(x49552),f329(f171(x49552),x49551)),f147(x49552,x49551))
% 192.24/192.21 [4956]E(x49561,f2(a909))+~E(f329(f329(f82(a909),x49562),x49561),x49562)
% 192.24/192.21 [4963]~P129(x49631)+E(f329(f107(x49631),f329(f105(a1),x49632)),f329(f105(x49631),x49632))
% 192.24/192.21 [4964]~P96(x49641)+E(f329(f107(x49641),f329(f108(a1),x49642)),f329(f108(x49641),x49642))
% 192.24/192.21 [4971]E(x49711,f2(a909))+~E(f329(f329(f82(a909),x49712),x49711),f2(a909))
% 192.24/192.21 [4972]E(x49721,f2(a909))+~E(f329(f329(f82(a909),x49721),x49722),f2(a909))
% 192.24/192.21 [4973]E(x49731,f80(a909))+~E(f329(f329(f83(a909),x49732),x49731),f80(a909))
% 192.24/192.21 [4974]E(x49741,f80(a909))+~E(f329(f329(f83(a909),x49741),x49742),f80(a909))
% 192.24/192.21 [4991]~P120(x49911)+E(f329(f77(x49911),f329(f105(x49911),x49912)),f329(f105(x49911),x49912))
% 192.24/192.21 [4992]~P89(x49921)+E(f329(f77(x49921),f329(f77(x49921),x49922)),f329(f77(x49921),x49922))
% 192.24/192.21 [4993]~P89(x49931)+E(f329(f77(x49931),f329(f81(x49931),x49932)),f329(f77(x49931),x49932))
% 192.24/192.21 [4994]~P77(x49941)+E(f329(f168(x49941),f329(f171(x49941),x49942)),f329(f168(x49941),x49942))
% 192.24/192.21 [4999]~E(x49991,f329(a117,f2(a909)))+E(f329(f329(f249(a909),x49991),x49992),f329(a117,f2(a909)))
% 192.24/192.21 [5008]~P79(x50081)+E(f329(f329(f23(x50081),f2(x50081)),x50082),f329(f81(x50081),x50082))
% 192.24/192.21 [5009]~E(x50092,f2(a909))+E(f142(a909,f329(f304(a909,x50091),x50092)),f118(a909))
% 192.24/192.21 [5018]~P96(x50181)+E(f329(f329(f82(x50181),x50182),f329(f108(x50181),a85)),x50182)
% 192.24/192.21 [5019]E(x50191,f2(a1))+E(f48(f329(f77(a1),x50192),f329(f77(a1),x50191)),f54(x50192,x50191))
% 192.24/192.21 [5035]~E(x50351,x50352)+P1(f329(f329(f239(a909),x50351),x50352))
% 192.24/192.21 [5042]~E(x50421,f2(a104))+E(f329(f329(f82(a909),f329(a20,x50421)),x50422),x50422)
% 192.24/192.21 [5043]~E(f329(f108(a1),x50432),f329(f105(a1),x50431))+E(x50431,f329(a109,f329(f108(a1),x50432)))
% 192.24/192.21 [5044]~P11(x50441)+E(f100(x50441,f329(f16(x50441,x50441),x50442)),x50442)
% 192.24/192.21 [5057]~P12(x50571)+P12(f329(f329(f249(a1),x50571),x50572))
% 192.24/192.21 [5058]~P98(x50581)+E(f329(f329(f115(x50581),x50582),f329(f81(x50581),x50582)),f247(x50581))
% 192.24/192.21 [5059]~P79(x50591)+E(f329(f329(f82(x50591),x50592),f329(f81(x50591),x50592)),f2(x50591))
% 192.24/192.21 [5060]~P98(x50601)+E(f329(f329(f106(x50601),x50602),f329(f81(x50601),x50602)),f191(x50601))
% 192.24/192.21 [5084]E(x50841,f2(a909))+~E(f329(f81(a1),f329(f105(a1),x50842)),f329(f105(a1),x50841))
% 192.24/192.21 [5085]E(x50851,f2(a909))+~E(f329(f81(a1),f329(f105(a1),x50851)),f329(f105(a1),x50852))
% 192.24/192.21 [5095]E(f198(x50951,x50952),f2(a1))+P1(f329(f329(f239(a1),x50952),x50951))
% 192.24/192.21 [5096]E(f181(x50961,x50962),f118(a1))+P1(f329(f329(f239(a1),x50961),x50962))
% 192.24/192.21 [5097]E(f246(x50971,x50972),f2(a104))+P1(f329(f329(f240(a104),x50971),x50972))
% 192.24/192.21 [5110]E(x51101,f329(a117,f2(a909)))+~E(f329(f329(f83(a909),x51102),x51101),f329(a117,f2(a909)))
% 192.24/192.21 [5111]E(x51111,f329(a117,f2(a909)))+~E(f329(f329(f83(a909),x51111),x51112),f329(a117,f2(a909)))
% 192.24/192.21 [5112]~P111(x51121)+P1(f329(f329(f239(x51121),x51122),x51122))
% 192.24/192.21 [5115]~P96(x51151)+E(f329(f329(f83(x51151),x51152),f329(f108(x51151),a102)),f329(f81(x51151),x51152))
% 192.24/192.21 [5135]~P129(x51351)+E(f329(f81(x51351),f329(f107(x51351),x51352)),f329(f107(x51351),f329(f81(a1),x51352)))
% 192.24/192.21 [5136]~P96(x51361)+E(f329(f81(x51361),f329(f108(x51361),x51362)),f329(f108(x51361),f329(f81(a1),x51362)))
% 192.24/192.21 [5165]~E(x51651,f329(a117,x51652))+P1(f329(f329(f240(a909),f2(a909)),x51651))
% 192.24/192.21 [5183]~P112(x51831)+E(f329(f81(f917(x51831,a904)),f329(f285(x51831),x51832)),f329(f286(x51831),x51832))
% 192.24/192.21 [5184]~P112(x51841)+E(f329(f81(f917(x51841,a904)),f329(f303(x51841),x51842)),f329(f306(x51841),x51842))
% 192.24/192.21 [5185]~P112(x51851)+E(f329(f81(f917(x51851,a904)),f329(f286(x51851),x51852)),f329(f285(x51851),x51852))
% 192.24/192.21 [5186]~P112(x51861)+E(f329(f81(f917(x51861,a904)),f329(f306(x51861),x51862)),f329(f303(x51861),x51862))
% 192.24/192.21 [5196]~E(f329(f105(a1),x51962),x51961)+P1(f329(f329(f239(a1),f2(a1)),x51961))
% 192.24/192.21 [5205]~E(x52052,f2(a1))+E(f54(x52051,x52052),f329(f329(f257(a1,a1),f2(a1)),f329(f77(a1),x52051)))
% 192.24/192.21 [5207]~P105(x52071)+P1(f329(f329(f239(x52071),f191(x52071)),x52072))
% 192.24/192.21 [5240]E(x52401,x52402)+~E(f329(f329(f82(a1),x52401),x52401),f329(f329(f82(a1),x52402),x52402))
% 192.24/192.21 [5246]~P1(f329(x52461,x52462))+P1(f329(x52461,f329(a109,f338(x52461))))
% 192.24/192.21 [5272]~P120(x52721)+E(f329(f329(f83(x52721),f84(x52721,x52722)),f329(f77(x52721),x52722)),x52722)
% 192.24/192.21 [5273]E(x52731,x52732)+~P1(f329(f329(f197(a25),x52731),x52732))
% 192.24/192.21 [5280]~E(x52802,f2(a909))+E(f87(f916(a909,a909),f49(x52801,x52802)),f329(f329(f257(a909,a909),f2(a909)),x52801))
% 192.24/192.21 [5285]~E(x52851,x52852)+~P1(f329(f329(f240(a909),x52851),x52852))
% 192.24/192.21 [5286]~E(x52861,x52862)+~P1(f329(f329(f240(a1),x52861),x52862))
% 192.24/192.21 [5289]~P109(x52891)+E(f329(f329(f82(x52891),f80(x52891)),f329(f105(x52891),x52892)),f329(f105(x52891),f329(a117,x52892)))
% 192.24/192.21 [5293]~E(x52931,f2(a909))+~P1(f329(f329(f240(a909),x52932),x52931))
% 192.24/192.21 [5307]E(f155(x53071,x53072),x53072)+~E(f329(f192(f910(x53071)),f155(x53071,x53072)),f329(f192(f910(x53071)),x53072))
% 192.24/192.21 [5308]E(f329(f36(x53081),f329(f175(x53081),x53082)),f329(f192(f910(x53081)),x53082))+~P1(f329(f140(x53081),x53082))
% 192.24/192.21 [5322]~P1(f329(x53221,f340(x53221)))+P1(f329(x53221,f329(f105(a1),x53222)))
% 192.24/192.21 [5332]E(f246(x53321,x53322),x53322)+~P1(f329(f329(f240(a104),x53321),x53322))
% 192.24/192.21 [5334]E(f275(x53341,x53342),f80(a104))+~P1(f329(f329(f240(a104),x53342),x53341))
% 192.24/192.21 [5335]E(f181(x53351,x53352),f118(a1))+~P1(f329(f329(f240(a1),x53352),x53351))
% 192.24/192.21 [5336]E(f132(x53361,x53362),f120(a1))+~P1(f329(f329(f240(a1),x53361),x53362))
% 192.24/192.21 [5338]~P113(x53381)+E(f305(x53381,x53382,x53382),f329(f329(f311(x53381),x53382),f191(f917(x53381,a904))))
% 192.24/192.21 [5358]~E(f329(f329(f23(a909),x53581),x53582),f2(a909))+P1(f329(f329(f239(a909),x53581),x53582))
% 192.24/192.21 [5381]~E(x53812,f2(a909))+E(f56(x53811,x53812,f118(x53811)),f329(f329(f154(f910(x53811)),f118(x53811)),f118(f910(x53811))))
% 192.24/192.21 [5385]~P111(x53851)+~P1(f329(f329(f240(x53851),x53852),x53852))
% 192.24/192.21 [5387]~E(f46(a1,x53871,x53872),f2(a1))+E(f46(a1,x53871,f329(f81(a1),x53872)),f2(a1))
% 192.24/192.21 [5389]~E(f46(a1,x53891,x53892),f2(a1))+E(f46(a1,f329(f81(a1),x53891),x53892),f2(a1))
% 192.24/192.21 [5397]E(f329(f304(a909,x53971),f329(a117,x53972)),f191(f917(a909,a904)))+P1(f329(f329(f239(a909),x53971),x53972))
% 192.24/192.21 [5420]E(f142(a909,f329(f304(a909,x54201),x54202)),f118(a909))+P1(f329(f329(f240(a909),x54201),x54202))
% 192.24/192.21 [5425]~E(f329(f36(x54251),f329(f175(x54251),x54252)),f329(f192(f910(x54251)),x54252))+P1(f329(f140(x54251),x54252))
% 192.24/192.21 [5429]~P1(f329(f140(x54291),x54292))+P1(f329(f140(x54291),f329(f170(x54291),x54292)))
% 192.24/192.21 [5430]~P1(f329(f140(x54301),x54302))+P1(f329(f140(x54301),f329(f174(x54301),x54302)))
% 192.24/192.21 [5431]~P1(f329(f140(x54311),x54312))+P1(f329(f140(x54311),f329(f171(x54311),x54312)))
% 192.24/192.21 [5439]P1(f329(x54391,x54392))+~P1(f329(x54391,f329(a109,f339(x54391))))
% 192.24/192.21 [5440]P1(f329(f329(f239(a909),x54402),x54401))+P1(f329(f329(f239(a909),x54401),x54402))
% 192.24/192.21 [5441]P1(f329(f329(f239(a1),x54412),x54411))+P1(f329(f329(f239(a1),x54411),x54412))
% 192.24/192.21 [5445]~P89(x54451)+P1(f329(f329(f239(x54451),x54452),f329(f77(x54451),x54452)))
% 192.24/192.21 [5448]P1(f329(x54481,f342(x54481)))+~P1(f329(x54481,f329(f105(a1),x54482)))
% 192.24/192.21 [5472]E(f329(f329(f23(a909),x54721),x54722),f2(a909))+~P1(f329(f329(f239(a909),x54721),x54722))
% 192.24/192.21 [5473]E(f329(f329(f37(a909),x54731),x54732),f2(a909))+~P1(f329(f329(f240(a909),x54731),x54732))
% 192.24/192.21 [5491]E(f46(a909,x54911,x54912),x54911)+~P1(f329(f329(f240(a909),x54911),x54912))
% 192.24/192.21 [5499]E(f46(a1,x54991,f329(f81(a1),x54992)),f293(x54991,x54992))+P1(f329(f329(f239(a1),f2(a1)),x54992))
% 192.24/192.21 [5511]E(f329(f329(f23(a1),x55111),x55112),f198(x55111,x55112))+~P1(f329(f329(f239(a1),x55112),x55111))
% 192.24/192.21 [5529]P1(f329(f329(f239(a1),f2(a1)),f340(x55291)))+P1(f329(x55291,f329(f105(a1),x55292)))
% 192.24/192.21 [5542]~P126(x55421)+P1(f329(f329(f239(x55421),f2(x55421)),f329(f105(x55421),x55422)))
% 192.24/192.21 [5543]~P89(x55431)+P1(f329(f329(f239(x55431),f2(x55431)),f329(f77(x55431),x55432)))
% 192.24/192.21 [5570]E(f329(f329(f82(a909),x55701),f844(x55702,x55701)),x55702)+~P1(f329(f329(f239(a909),x55701),x55702))
% 192.24/192.21 [5582]~E(f329(f108(a1),x55821),f329(f105(a1),x55822))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x55821)))
% 192.24/192.21 [5585]E(f305(a1,x55851,x55852),f191(f917(a1,a904)))+~P1(f329(f329(f240(a1),x55852),x55851))
% 192.24/192.21 [5587]~P120(x55871)+E(f329(f329(f83(x55871),f329(f77(x55871),x55872)),f329(f77(x55871),x55872)),f329(f329(f83(x55871),x55872),x55872))
% 192.24/192.21 [5593]E(f142(a909,f329(f304(a909,x55931),f329(a117,x55932))),f118(a909))+P1(f329(f329(f239(a909),x55931),x55932))
% 192.24/192.21 [5597]E(f329(f329(f37(a1),x55971),x55972),f294(x55971,x55972))+~P1(f329(f329(f239(a1),f2(a1)),x55972))
% 192.24/192.21 [5617]P1(f329(f140(x56171),x56172))+~P1(f329(f140(x56171),f329(f170(x56171),x56172)))
% 192.24/192.21 [5618]P1(f329(f140(x56181),x56182))+~P1(f329(f140(x56181),f329(f171(x56181),x56182)))
% 192.24/192.21 [5643]P1(f329(f62(a909),x56431))+P1(f329(f329(f331(a909),f860(x56431,x56432)),x56431))
% 192.24/192.21 [5644]P1(f329(f62(a909),x56441))+P1(f329(f329(f331(a909),f893(x56441,x56442)),x56441))
% 192.24/192.21 [5647]P1(f329(f329(f240(a909),x56472),f329(a117,x56471)))+P1(f329(f329(f240(a909),x56471),x56472))
% 192.24/192.21 [5648]E(f46(a1,x56481,x56482),f293(x56481,x56482))+~P1(f329(f329(f239(a1),f2(a1)),x56482))
% 192.24/192.21 [5651]E(f142(a909,f329(f304(a909,x56511),x56512)),f118(a909))+~P1(f329(f329(f239(a909),x56512),x56511))
% 192.24/192.21 [5652]~P87(x56521)+E(f329(f312(x56521,x56521,f81(x56521)),f329(f285(x56521),x56522)),f329(f306(x56521),f329(f81(x56521),x56522)))
% 192.24/192.21 [5653]~P87(x56531)+E(f329(f312(x56531,x56531,f81(x56531)),f329(f303(x56531),x56532)),f329(f286(x56531),f329(f81(x56531),x56532)))
% 192.24/192.21 [5654]~P87(x56541)+E(f329(f312(x56541,x56541,f81(x56541)),f329(f286(x56541),x56542)),f329(f303(x56541),f329(f81(x56541),x56542)))
% 192.24/192.21 [5655]~P87(x56551)+E(f329(f312(x56551,x56551,f81(x56551)),f329(f306(x56551),x56552)),f329(f285(x56551),f329(f81(x56551),x56552)))
% 192.24/192.21 [5666]E(x56661,f191(f917(x56662,a904)))+P1(f329(f329(f331(x56662),f345(x56661,x56662)),x56661))
% 192.24/192.21 [5667]E(x56671,f191(f917(x56672,a904)))+P1(f329(f329(f331(x56672),f357(x56671,x56672)),x56671))
% 192.24/192.21 [5678]~P1(f329(f329(f240(a909),x56781),x56782))+P1(f329(f329(f239(a909),x56781),x56782))
% 192.24/192.21 [5679]~P1(f329(f329(f240(a1),x56791),x56792))+P1(f329(f329(f239(a1),x56791),x56792))
% 192.24/192.21 [5695]E(f48(x56951,x56952),f329(f329(f257(a1,a1),f2(a1)),x56951))+~P1(f329(f329(f240(a1),x56951),x56952))
% 192.24/192.21 [5697]E(f219(f329(f81(a1),x56971),f329(f81(a1),x56972)),f219(x56971,x56972))+~P1(f329(f329(f240(a1),x56972),f2(a1)))
% 192.24/192.21 [5708]E(x57081,x57082)+~E(f329(a3,f329(a117,f329(a20,x57081))),f329(a3,f329(a117,f329(a20,x57082))))
% 192.24/192.21 [5713]E(f48(x57131,x57132),f329(f329(f257(a1,a1),f2(a1)),x57131))+~P1(f329(f329(f239(a1),x57132),f2(a1)))
% 192.24/192.21 [5742]E(f46(a909,f329(f108(a909),x57421),f329(f108(a909),x57422)),f2(a909))+~P1(f329(a196,f329(f108(a1),x57421)))
% 192.24/192.21 [5757]P1(f329(f329(f239(a1),f2(a1)),f342(x57571)))+~P1(f329(x57571,f329(f105(a1),x57572)))
% 192.24/192.21 [5791]P48(f305(a1,x57911,x57912))+~P1(f329(f329(f239(a1),f2(a1)),x57911))
% 192.24/192.21 [5796]~P1(f329(f62(x57961),x57962))+P1(f329(f62(f917(x57961,a904)),f329(f310(x57961),x57962)))
% 192.24/192.21 [5809]E(f329(f329(f82(a1),x58091),f329(f105(a1),f341(x58092,x58091))),x58092)+~P1(f329(f329(f239(a1),x58091),x58092))
% 192.24/192.21 [5817]P1(f329(f329(f239(a909),x58171),x58172))+P1(f329(f329(f239(a909),f329(a117,x58172)),x58171))
% 192.24/192.21 [5860]E(f329(f329(f37(a909),f329(f108(a909),x58601)),f329(f108(a909),x58602)),f2(a909))+~P1(f329(a196,f329(f108(a1),x58601)))
% 192.24/192.21 [5861]E(f329(f329(f83(a909),f329(f108(a909),x58611)),f329(f108(a909),x58612)),f2(a909))+~P1(f329(f329(f240(a1),x58611),a85))
% 192.24/192.21 [5863]P1(f329(f329(f240(a909),x58631),f329(a117,x58632)))+~P1(f329(f329(f240(a909),x58631),x58632))
% 192.24/192.21 [5865]P1(f329(f329(f240(a909),x58651),f329(a117,x58652)))+~P1(f329(f329(f239(a909),x58651),x58652))
% 192.24/192.21 [5867]P1(f329(f329(f239(a909),x58671),f329(a117,x58672)))+~P1(f329(f329(f239(a909),x58671),x58672))
% 192.24/192.21 [5870]~E(x58701,x58702)+P1(f329(f329(f240(a1),x58701),f329(f329(f82(a1),x58702),f80(a1))))
% 192.24/192.21 [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))
% 192.24/192.21 [5882]E(x58821,f118(x58822))+P1(f329(f329(f331(x58822),f147(x58822,x58821)),f329(f175(x58822),x58821)))
% 192.24/192.21 [5894]E(f87(f916(a909,a909),f49(x58941,x58942)),f329(f329(f257(a909,a909),f2(a909)),x58941))+~P1(f329(f329(f240(a909),x58941),x58942))
% 192.24/192.21 [5928]E(f329(f329(f82(a909),f329(f108(a909),x59281)),f329(f108(a909),x59282)),f329(f108(a909),x59282))+~P1(f329(f329(f240(a1),x59281),a85))
% 192.24/192.21 [5929]E(f329(f329(f23(a909),f329(f108(a909),x59291)),f329(f108(a909),x59292)),f329(f108(a909),x59291))+~P1(f329(f329(f240(a1),x59292),a85))
% 192.24/192.21 [5936]E(f329(a117,f329(f329(f82(a909),x59361),f846(x59362,x59361))),x59362)+~P1(f329(f329(f240(a909),x59361),x59362))
% 192.24/192.21 [5963]P1(f329(x59631,x59632))+~P1(f329(x59631,f329(a91,f559(x59632,x59631))))
% 192.24/192.21 [5964]P1(f329(x59641,x59642))+~P1(f329(x59641,f329(a3,f842(x59642,x59641))))
% 192.24/192.21 [5972]~P1(f329(f329(f240(a909),x59721),f329(a117,x59722)))+P1(f329(f329(f239(a909),x59721),x59722))
% 192.24/192.21 [6018]E(f329(f329(f311(a909),x60181),f329(f304(a909,x60182),x60181)),f329(f304(a909,x60182),f329(a117,x60181)))+~P1(f329(f329(f239(a909),x60182),x60181))
% 192.24/192.21 [6020]E(x60201,f118(x60202))+E(f329(f329(f137(x60202),f119(x60202,x60201)),f329(f329(f154(x60202),f147(x60202,x60201)),f118(x60202))),x60201)
% 192.24/192.21 [6037]P1(f329(f62(x60371),x60372))+~P1(f329(f329(f240(a909),f2(a909)),f329(f36(x60371),x60372)))
% 192.24/192.21 [6039]~E(x60391,f191(f917(x60392,a904)))+~P1(f329(f329(f240(a909),f2(a909)),f329(f36(x60392),x60391)))
% 192.24/192.21 [6051]~P1(f329(f329(f240(a909),x60511),x60512))+P1(f329(f329(f239(a909),f329(a117,x60511)),x60512))
% 192.24/192.21 [6056]~P112(x60561)+E(f153(x60561,x60561,f5(x60561),f155(x60561,x60562)),f142(x60561,f329(f175(x60561),x60562)))
% 192.24/192.21 [6059]E(x60591,f118(x60592))+P1(f329(f329(f331(x60592),f329(f144(x60592),x60591)),f329(f175(x60592),x60591)))
% 192.24/192.21 [6065]~P126(x60651)+P1(f329(f329(f240(x60651),x60652),f329(f329(f82(x60651),x60652),f80(x60651))))
% 192.24/192.21 [6067]~P89(x60671)+P1(f329(f329(f239(x60671),f329(f81(x60671),x60672)),f329(f77(x60671),x60672)))
% 192.24/192.21 [6101]P1(f329(f62(a909),x61011))+~P1(f329(f329(f240(a909),f860(x61011,x61012)),x61012))
% 192.24/192.21 [6102]P1(f329(f62(a909),x61021))+~P1(f329(f329(f239(a909),f893(x61021,x61022)),x61022))
% 192.24/192.21 [6106]~P1(f329(f62(f916(x61061,x61061)),x61062))+P1(f329(f62(x61061),f329(f284(x61061),x61062)))
% 192.24/192.21 [6164]~P1(f329(f329(f240(a909),x61642),f329(a117,x61641)))+~P1(f329(f329(f240(a909),x61641),x61642))
% 192.24/192.21 [6165]~P113(x61651)+E(f329(f329(f106(f917(x61651,a904)),f329(f303(x61651),x61652)),f329(f286(x61651),x61652)),f329(f329(f311(x61651),x61652),f191(f917(x61651,a904))))
% 192.24/192.21 [6177]P1(f329(f62(x61771),x61772))+~P1(f329(f62(f917(x61771,a904)),f329(f310(x61771),x61772)))
% 192.24/192.21 [6201]P1(f329(f329(f240(a909),f329(a117,x62011)),f329(a117,x62012)))+~P1(f329(f329(f240(a909),x62011),x62012))
% 192.24/192.21 [6202]P1(f329(f329(f240(a909),f329(a20,x62021)),f329(a20,x62022)))+~P1(f329(f329(f240(a104),x62021),x62022))
% 192.24/192.21 [6203]P1(f329(f329(f240(a104),f329(a3,x62031)),f329(a3,x62032)))+~P1(f329(f329(f240(a909),x62031),x62032))
% 192.24/192.21 [6204]P1(f329(f329(f239(a909),f329(a117,x62041)),f329(a117,x62042)))+~P1(f329(f329(f239(a909),x62041),x62042))
% 192.24/192.21 [6205]P1(f329(f329(f239(a909),f329(a20,x62051)),f329(a20,x62052)))+~P1(f329(f329(f239(a104),x62051),x62052))
% 192.24/192.21 [6206]P1(f329(f329(f239(a104),f329(a3,x62061)),f329(a3,x62062)))+~P1(f329(f329(f239(a909),x62061),x62062))
% 192.24/192.21 [6211]E(x62111,x62112)+~E(f329(f312(a909,a1,f105(a1)),x62111),f329(f312(a909,a1,f105(a1)),x62112))
% 192.24/192.21 [6227]P1(f329(f329(f240(a909),x62271),x62272))+~P1(f329(f329(f240(a909),f329(a117,x62271)),x62272))
% 192.24/192.21 [6230]P1(f329(f329(f240(a909),x62301),x62302))+~P1(f329(f329(f239(a909),f329(a117,x62301)),x62302))
% 192.24/192.21 [6231]P1(f329(f329(f239(a909),x62311),x62312))+~P1(f329(f329(f239(a909),f329(a117,x62311)),x62312))
% 192.24/192.21 [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)))
% 192.24/192.21 [6314]E(f329(f36(f917(x63141,a904)),f329(f310(x63141),x63142)),f329(f329(f249(a909),f329(a117,f329(a117,f2(a909)))),f329(f36(x63141),x63142)))+~P1(f329(f62(x63141),x63142))
% 192.24/192.21 [6317]E(x63171,f118(x63172))+E(f329(f329(f167(x63172),x63171),f329(f329(f23(a909),f329(f192(f910(x63172)),x63171)),f80(a909))),f147(x63172,x63171))
% 192.24/192.21 [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))
% 192.24/192.21 [6369]~P1(f329(f62(x63691),f38(f917(x63691,a904),x63692)))+P1(f329(f62(f917(x63691,a904)),x63692))
% 192.24/192.21 [6391]P1(f329(f329(f239(a909),f329(f108(a909),x63911)),f329(f108(a909),x63912)))+~P1(f329(f329(f239(a1),x63911),a85))
% 192.24/192.21 [6411]~P1(f329(f329(f240(a1),x64111),x64112))+P1(f329(f329(f240(a1),x64111),f329(f329(f82(a1),x64112),f80(a1))))
% 192.24/192.21 [6412]~P1(f329(f329(f239(a1),x64121),x64122))+P1(f329(f329(f240(a1),x64121),f329(f329(f82(a1),x64122),f80(a1))))
% 192.24/192.21 [6413]~P1(f329(f329(f240(a1),x64131),x64132))+P1(f329(f329(f239(a1),x64131),f329(f329(f23(a1),x64132),f80(a1))))
% 192.24/192.21 [6416]~P1(f329(f329(f240(a909),x64161),x64162))+P1(f329(f329(f240(a1),f329(f105(a1),x64161)),f329(f105(a1),x64162)))
% 192.24/192.21 [6417]~P1(f329(f329(f240(a1),x64171),x64172))+P1(f329(f329(f240(a1),f329(f108(a1),x64171)),f329(f108(a1),x64172)))
% 192.24/192.21 [6418]~P1(f329(f329(f239(a1),x64181),x64182))+P1(f329(f329(f239(a909),f329(f108(a909),x64181)),f329(f108(a909),x64182)))
% 192.24/192.21 [6420]~P1(f329(f329(f239(a909),x64201),x64202))+P1(f329(f329(f239(a1),f329(f105(a1),x64201)),f329(f105(a1),x64202)))
% 192.24/192.21 [6421]~P1(f329(f329(f239(a1),x64211),x64212))+P1(f329(f329(f239(a1),f329(f108(a1),x64211)),f329(f108(a1),x64212)))
% 192.24/192.21 [6440]~P1(f329(f329(f239(a909),x64401),x64402))+~P1(f329(f329(f239(a909),f329(a117,x64402)),x64401))
% 192.24/192.21 [6484]~P1(f329(f329(f240(a909),f329(a117,x64841)),f329(a117,x64842)))+P1(f329(f329(f240(a909),x64841),x64842))
% 192.24/192.21 [6485]~P1(f329(f329(f240(a104),f329(a3,x64851)),f329(a3,x64852)))+P1(f329(f329(f240(a909),x64851),x64852))
% 192.24/192.21 [6486]~P1(f329(f329(f240(a909),f329(a109,x64861)),f329(a109,x64862)))+P1(f329(f329(f240(a1),x64861),x64862))
% 192.24/192.21 [6487]~P1(f329(f329(f240(a909),f329(a20,x64871)),f329(a20,x64872)))+P1(f329(f329(f240(a104),x64871),x64872))
% 192.24/192.21 [6488]~P1(f329(f329(f239(a909),f329(a117,x64881)),f329(a117,x64882)))+P1(f329(f329(f239(a909),x64881),x64882))
% 192.24/192.21 [6489]~P1(f329(f329(f239(a104),f329(a3,x64891)),f329(a3,x64892)))+P1(f329(f329(f239(a909),x64891),x64892))
% 192.24/192.21 [6490]~P1(f329(f329(f239(a909),f329(a20,x64901)),f329(a20,x64902)))+P1(f329(f329(f239(a104),x64901),x64902))
% 192.24/192.21 [6533]~P1(f329(f329(f240(a909),f329(a109,x65332)),f329(a109,x65331)))+P1(f329(f329(f240(a1),f2(a1)),x65331))
% 192.24/192.21 [6565]P1(f329(f329(f239(a1),f2(a1)),f46(a1,x65651,x65652)))+~P1(f329(f329(f240(a1),f2(a1)),x65652))
% 192.24/192.21 [6726]P44(x67261,x67262)+~E(f329(f329(f291(x67261,x67261,x67261),x67262),x67262),f191(f917(f916(x67261,x67261),a904)))
% 192.24/192.21 [6738]~P44(x67381,x67382)+P44(x67381,f329(f329(f291(x67381,x67381,x67381),x67382),x67382))
% 192.24/192.21 [6749]P1(f329(f329(f240(a1),x67491),x67492))+~P1(f329(f329(f239(a1),x67491),f329(f329(f23(a1),x67492),f80(a1))))
% 192.24/192.21 [6750]P1(f329(f329(f239(a1),x67501),x67502))+~P1(f329(f329(f240(a1),x67501),f329(f329(f82(a1),x67502),f80(a1))))
% 192.24/192.21 [6753]P1(f329(f329(f240(a909),x67531),x67532))+~P1(f329(f329(f240(a1),f329(f105(a1),x67531)),f329(f105(a1),x67532)))
% 192.24/192.21 [6754]P1(f329(f329(f240(a1),x67541),x67542))+~P1(f329(f329(f240(a909),f329(f108(a909),x67541)),f329(f108(a909),x67542)))
% 192.24/192.21 [6755]P1(f329(f329(f240(a1),x67551),x67552))+~P1(f329(f329(f240(a1),f329(f108(a1),x67551)),f329(f108(a1),x67552)))
% 192.24/192.21 [6757]P1(f329(f329(f239(a909),x67571),x67572))+~P1(f329(f329(f239(a1),f329(f105(a1),x67571)),f329(f105(a1),x67572)))
% 192.24/192.21 [6758]P1(f329(f329(f239(a1),x67581),x67582))+~P1(f329(f329(f239(a1),f329(f108(a1),x67581)),f329(f108(a1),x67582)))
% 192.24/192.21 [6852]~E(f724(x68522,x68521),f118(x68521))+E(f329(f145(f910(x68521),f910(x68521),f137(x68521),f118(x68521)),x68522),f118(x68521))
% 192.24/192.21 [6853]~E(f725(x68532,x68531),f118(x68531))+E(f329(f145(f910(x68531),f910(x68531),f137(x68531),f118(x68531)),x68532),f118(x68531))
% 192.24/192.21 [6858]~P11(x68581)+E(f329(f145(x68581,x68581,f106(x68581),f247(x68581)),x68582),f39(x68581,f329(f175(x68581),x68582)))
% 192.24/192.21 [6859]~P11(x68591)+E(f329(f145(x68591,x68591,f115(x68591),f191(x68591)),x68592),f38(x68591,f329(f175(x68591),x68592)))
% 192.24/192.21 [6873]E(x68731,f2(a104))+E(f329(f329(f82(a909),f329(a20,f329(f329(f23(a104),x68731),f80(a104)))),f329(a117,x68732)),f329(f329(f82(a909),f329(a20,x68731)),x68732))
% 192.24/192.21 [6922]P1(f329(f329(f240(a1),f329(f329(f23(a1),x69221),x69222)),f2(a1)))+~P1(f329(f329(f240(a1),x69221),x69222))
% 192.24/192.21 [6947]~P112(x69471)+E(f329(f329(f115(f917(x69471,a904)),f329(f329(f311(x69471),x69472),f191(f917(x69471,a904)))),f329(f306(x69471),x69472)),f329(f286(x69471),x69472))
% 192.24/192.21 [7020]~P68(x70201,x70202)+P44(x70201,f329(f267(f916(x70201,x70201)),f329(f262(x70201,x70201,a904),x70202)))
% 192.24/192.21 [7021]~P68(x70211,x70212)+P66(x70211,f329(f267(f916(x70211,x70211)),f329(f262(x70211,x70211,a904),x70212)))
% 192.24/192.21 [7022]~P58(x70221,x70222)+P45(x70221,f329(f267(f916(x70221,x70221)),f329(f262(x70221,x70221,a904),x70222)))
% 192.24/192.21 [7023]~P59(x70231,x70232)+P60(x70231,f329(f267(f916(x70231,x70231)),f329(f262(x70231,x70231,a904),x70232)))
% 192.24/192.21 [7024]E(x70241,f191(f917(x70242,a904)))+~P1(f329(f329(f239(f917(x70242,a904)),x70241),f191(f917(x70242,a904))))
% 192.24/192.21 [7106]~P1(f329(f329(f240(a909),f2(a909)),x71062))+P1(f329(f329(f240(a909),f46(a909,x71061,x71062)),x71062))
% 192.24/192.21 [7108]~P1(f329(f329(f240(a1),f2(a1)),x71082))+P1(f329(f329(f240(a1),f46(a1,x71081,x71082)),x71082))
% 192.24/192.21 [7109]~P1(f329(f329(f240(a909),f2(a909)),x71092))+P1(f329(f329(f239(a909),f46(a909,x71091,x71092)),x71092))
% 192.24/192.21 [7110]~P1(f329(f329(f239(a1),f2(a1)),x71101))+P1(f329(f329(f239(a1),f46(a1,x71101,x71102)),x71101))
% 192.24/192.21 [7186]~P113(x71861)+E(f329(f329(f23(f917(x71861,a904)),f329(f329(f311(x71861),x71862),f191(f917(x71861,a904)))),f329(f285(x71861),x71862)),f329(f329(f311(x71861),x71862),f191(f917(x71861,a904))))
% 192.24/192.21 [7258]~P57(x72581,x72582)+P61(x72581,f247(f917(x72581,a904)),f329(f267(f916(x72581,x72581)),f329(f262(x72581,x72581,a904),x72582)))
% 192.24/192.21 [7259]P1(f329(x72591,x72592))+P1(f329(f329(f331(f917(f916(a909,a909),a904)),f559(x72592,x72591)),a103))
% 192.24/192.21 [7304]E(f329(f329(f137(a909),f142(a909,f329(f304(a909,x73041),x73042))),f329(f329(f154(a909),x73042),f118(a909))),f142(a909,f329(f304(a909,x73041),f329(a117,x73042))))+~P1(f329(f329(f239(a909),x73041),x73042))
% 192.24/192.21 [7461]E(x74611,f2(a909))+~E(f329(f145(a909,a909,f82(a909),x74611),x74612),f2(a909))
% 192.24/192.21 [7487]~P1(f329(f329(f240(a1),f329(f329(f23(a1),x74871),x74872)),f2(a1)))+P1(f329(f329(f240(a1),x74871),x74872))
% 192.24/192.21 [7514]P44(x75141,x75142)+~P44(x75141,f329(f329(f291(x75141,x75141,x75141),x75142),x75142))
% 192.24/192.21 [7544]~P1(f329(f329(f239(a909),f329(a117,x75441)),x75442))+P1(f188(a904,a244,f329(f239(a909),x75441),x75442))
% 192.24/192.21 [7700]P31(a909,a909,f329(f329(f7(a909,a909,a909),f23(a909)),x77001),x77002)+P1(f329(f329(f331(a909),f572(x77001,x77002)),x77002))
% 192.24/192.21 [7757]E(f329(f329(f329(f66(a909,x77571,f82(a909)),f329(f16(a909,x77571),f80(a909))),f2(a909)),x77572),f329(f36(x77571),x77572))+~P1(f329(f62(x77571),x77572))
% 192.24/192.21 [7799]P31(a909,a909,f329(f329(f7(a909,a909,a909),f23(a909)),x77991),x77992)+~P1(f329(f329(f239(a909),x77991),f572(x77991,x77992)))
% 192.24/192.21 [7855]P44(x78551,x78552)+P1(f329(f329(f239(f917(x78551,a904)),f569(x78552,x78551)),f329(f288(x78551,x78551,x78552),f569(x78552,x78551))))
% 192.24/192.21 [7860]P68(x78601,x78602)+~P44(x78601,f329(f267(f916(x78601,x78601)),f329(f262(x78601,x78601,a904),x78602)))
% 192.24/192.21 [7861]P58(x78611,x78612)+~P45(x78611,f329(f267(f916(x78611,x78611)),f329(f262(x78611,x78611,a904),x78612)))
% 192.24/192.21 [7862]P59(x78621,x78622)+~P60(x78621,f329(f267(f916(x78621,x78621)),f329(f262(x78621,x78621,a904),x78622)))
% 192.24/192.21 [7937]P1(f329(f329(f239(a909),f329(a117,x79371)),x79372))+~P1(f188(a904,a244,f329(f239(a909),x79371),x79372))
% 192.24/192.21 [7993]P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),x79931),x79932)),f309(a909,a319)))+~P1(f329(f329(f239(a909),x79931),x79932))
% 192.24/192.21 [8090]P57(x80901,x80902)+~P61(x80901,f247(f917(x80901,a904)),f329(f267(f916(x80901,x80901)),f329(f262(x80901,x80901,a904),x80902)))
% 192.24/192.21 [8153]~P1(f329(f140(x81531),x81532))+P1(f329(f140(f917(x81531,a904)),f329(f329(f157(f910(x81531),f917(x81531,a904)),f175(x81531)),f55(x81531,x81532))))
% 192.24/192.21 [8355]~P44(x83551,f329(f289(x83551,x83551),x83552))+P44(x83551,f329(f289(x83551,x83551),f329(f329(f291(x83551,x83551,x83551),x83552),f309(x83551,x83552))))
% 192.24/192.21 [8481]P1(f329(f62(f916(x84811,x84811)),f329(f329(f291(x84811,x84811,x84811),x84812),f309(x84811,x84812))))+~P1(f329(f62(f916(x84811,x84811)),x84812))
% 192.24/192.21 [8509]E(x85091,f2(a1))+P1(f329(f50(x85092,x85091),f329(f329(f257(a1,a1),f329(f329(f37(a1),x85092),x85091)),f46(a1,x85092,x85091))))
% 192.24/192.21 [8522]~P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),x85221),x85222)),f309(a909,a319)))+P1(f329(f329(f239(a909),x85221),x85222))
% 192.24/192.21 [8540]~P4(x85401)+E(f329(f145(x85401,x85401,f329(f7(x85401,x85401,x85401),f82(x85401)),f2(x85401)),f329(f171(x85401),x85402)),f329(f145(x85401,x85401,f82(x85401),f2(x85401)),x85402))
% 192.24/192.21 [8722]~P112(x87221)+E(f329(f145(f910(x87221),x87221,f329(f7(x87221,f910(x87221),f910(x87221)),f151(x87221,x87221,f5(x87221))),f118(x87221)),x87222),f153(x87221,x87221,f5(x87221),x87222))
% 192.24/192.21 [8824]~P66(x88241,f329(f267(f916(x88241,x88241)),f329(f262(x88241,x88241,a904),x88242)))+P66(x88241,f329(f267(f916(x88241,x88241)),f329(f262(x88241,x88241,a904),f248(x88241,x88241,x88242))))
% 192.24/192.21 [8838]P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),x88381),x88382)),f329(f329(f291(a909,a909,a909),a319),f309(a909,a319))))+~P1(f329(f329(f240(a909),x88381),x88382))
% 192.24/192.21 [8880]~P1(f329(f62(f916(x88801,x88801)),f329(f329(f291(x88801,x88801,x88801),x88802),f309(x88801,x88802))))+P1(f329(f62(f916(x88801,x88801)),x88802))
% 192.24/192.21 [8934]~P66(x89341,f329(f267(f916(x89341,x89341)),f329(f262(x89341,x89341,a904),f248(x89341,x89341,x89342))))+P66(x89341,f329(f267(f916(x89341,x89341)),f329(f262(x89341,x89341,a904),x89342)))
% 192.24/192.21 [9136]P66(x91361,x91362)+P1(f329(f329(f331(f916(x91361,x91361)),f329(f329(f257(x91361,x91361),f596(x91362,x91361)),f596(x91362,x91361))),f329(f329(f291(x91361,x91361,x91361),x91362),f309(x91361,x91362))))
% 192.24/192.21 [9137]P66(x91371,x91372)+P1(f329(f329(f331(f916(x91371,x91371)),f329(f329(f257(x91371,x91371),f601(x91372,x91371)),f601(x91372,x91371))),f329(f329(f291(x91371,x91371,x91371),x91372),f309(x91371,x91372))))
% 192.24/192.21 [9256]~P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),x92561),x92562)),f329(f329(f291(a909,a909,a909),a319),f309(a909,a319))))+P1(f329(f329(f240(a909),x92561),x92562))
% 192.24/192.21 [5179]~P96(x51791)+E(f329(f329(f82(x51791),f329(f108(x51791),a85)),x51792),x51792)
% 192.24/192.21 [5212]~P98(x52121)+E(f329(f329(f115(x52121),f329(f81(x52121),x52122)),x52122),f247(x52121))
% 192.24/192.21 [5213]~P74(x52131)+E(f329(f329(f82(x52131),f329(f81(x52131),x52132)),x52132),f2(x52131))
% 192.24/192.21 [5214]~P79(x52141)+E(f329(f329(f82(x52141),f329(f81(x52141),x52142)),x52142),f2(x52141))
% 192.24/192.21 [5215]~P98(x52151)+E(f329(f329(f106(x52151),f329(f81(x52151),x52152)),x52152),f191(x52151))
% 192.24/192.21 [5250]~P96(x52501)+E(f329(f329(f83(x52501),f329(f108(x52501),a102)),x52502),f329(f81(x52501),x52502))
% 192.24/192.21 [5412]~P119(x54121)+E(f329(f329(f83(x54121),f329(f81(x54121),f80(x54121))),x54122),f329(f81(x54121),x54122))
% 192.24/192.21 [5457]E(f329(f77(a1),x54571),f80(a1))+~E(f329(f77(a1),f329(f329(f83(a1),x54571),x54572)),f80(a1))
% 192.24/192.21 [5545]~P96(x55451)+E(f329(f329(f82(x55451),f80(x55451)),f329(f108(x55451),x55452)),f329(f108(x55451),f329(f329(f23(a1),x55452),a102)))
% 192.24/192.21 [5598]~P2(x55981)+E(f13(x55981,f329(f329(f311(x55981),x55982),f191(f917(x55981,a904)))),x55982)
% 192.24/192.21 [5599]~P2(x55991)+E(f10(x55991,f329(f329(f311(x55991),x55992),f191(f917(x55991,a904)))),x55992)
% 192.24/192.21 [5600]~P112(x56001)+E(f14(x56001,f329(f329(f311(x56001),x56002),f191(f917(x56001,a904)))),x56002)
% 192.24/192.21 [5601]~P112(x56011)+E(f15(x56011,f329(f329(f311(x56011),x56012),f191(f917(x56011,a904)))),x56012)
% 192.24/192.21 [5602]~P11(x56021)+E(f39(x56021,f329(f329(f311(x56021),x56022),f191(f917(x56021,a904)))),x56022)
% 192.24/192.21 [5603]~P11(x56031)+E(f38(x56031,f329(f329(f311(x56031),x56032),f191(f917(x56031,a904)))),x56032)
% 192.24/192.21 [5625]E(f329(f329(f82(a909),x56251),f329(f329(f23(a909),x56252),x56251)),x56252)+P1(f329(f329(f240(a909),x56252),x56251))
% 192.24/192.21 [5661]E(x56611,f118(x56612))+P1(f329(f329(f240(a909),f2(a909)),f329(f192(f910(x56612)),x56611)))
% 192.24/192.21 [5788]~P112(x57881)+E(f11(x57881,f238(x57881),f329(f329(f311(x57881),x57882),f191(f917(x57881,a904)))),x57882)
% 192.24/192.21 [5789]~P112(x57891)+E(f12(x57891,f237(x57891),f329(f329(f311(x57891),x57892),f191(f917(x57891,a904)))),x57892)
% 192.24/192.21 [5850]E(f329(f329(f82(a909),x58501),f329(f329(f23(a909),x58502),x58501)),x58502)+~P1(f329(f329(f239(a909),x58501),x58502))
% 192.24/192.21 [5851]E(f329(f329(f23(a909),x58511),f329(f329(f23(a909),x58511),x58512)),x58512)+~P1(f329(f329(f239(a909),x58512),x58511))
% 192.24/192.21 [5872]E(f46(a909,f329(f329(f23(a909),x58721),x58722),x58722),f46(a909,x58721,x58722))+P1(f329(f329(f240(a909),x58721),x58722))
% 192.24/192.21 [5883]E(f329(f81(a1),f329(f329(f37(a1),x58831),f329(f81(a1),x58832))),f294(x58831,x58832))+P1(f329(f329(f239(a1),f2(a1)),x58832))
% 192.24/192.21 [5885]~E(x58852,f2(a909))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f249(a909),x58851),x58852)))
% 192.24/192.21 [5941]~P96(x59411)+E(f329(f329(f82(x59411),f329(f81(x59411),f80(x59411))),f329(f108(x59411),x59412)),f329(f108(x59411),f329(f329(f82(a1),x59412),a102)))
% 192.24/192.21 [5942]E(f329(f329(f249(a909),f329(f108(a909),x59421)),x59422),f329(f329(f249(a909),f2(a909)),x59422))+~P1(f329(a196,f329(f108(a1),x59421)))
% 192.24/192.21 [6043]E(f329(f144(a909),f142(a909,f329(f304(a909,x60431),x60432))),x60431)+~P1(f329(f329(f240(a909),x60431),x60432))
% 192.24/192.21 [6060]E(f329(f329(f83(a909),f329(f108(a909),x60601)),f329(f108(a909),x60602)),f329(f108(a909),f329(f329(f83(a1),x60601),x60602)))+P1(f329(f329(f240(a1),x60601),a85))
% 192.24/192.21 [6066]~P127(x60661)+P1(f329(f329(f239(x60661),f2(x60661)),f329(f329(f83(x60661),x60662),x60662)))
% 192.24/192.21 [6078]E(f329(f329(f23(a909),f329(a117,x60781)),x60782),f329(a117,f329(f329(f23(a909),x60781),x60782)))+~P1(f329(f329(f239(a909),x60782),x60781))
% 192.24/192.21 [6081]E(f46(a909,f329(f329(f23(a909),x60811),x60812),x60812),f46(a909,x60811,x60812))+~P1(f329(f329(f239(a909),x60812),x60811))
% 192.24/192.21 [6137]E(f329(f329(f249(a909),f329(a109,x61371)),x61372),f329(a109,f329(f329(f249(a1),x61371),x61372)))+~P1(f329(f329(f239(a1),f2(a1)),x61371))
% 192.24/192.21 [6155]P1(f329(f140(x61551),x61552))+P1(f329(f329(f240(a909),f690(x61552,x61551)),f329(f192(f910(x61551)),x61552)))
% 192.24/192.21 [6156]P1(f329(f140(x61561),x61562))+P1(f329(f329(f240(a909),f694(x61562,x61561)),f329(f192(f910(x61561)),x61562)))
% 192.24/192.21 [6171]~E(x61711,f118(x61712))+~P1(f329(f329(f240(a909),f2(a909)),f329(f192(f910(x61712)),x61711)))
% 192.24/192.21 [6182]E(f147(a909,f142(a909,f329(f304(a909,x61821),x61822))),f329(f329(f23(a909),x61822),f80(a909)))+~P1(f329(f329(f240(a909),x61821),x61822))
% 192.24/192.21 [6185]E(f329(f329(f82(a1),x61851),f329(f105(a1),f329(a117,f895(x61852,x61851)))),x61852)+~P1(f329(f329(f240(a1),x61851),x61852))
% 192.24/192.21 [6192]E(x61921,f2(a909))+E(f329(f329(f83(a909),x61922),f329(f329(f249(a909),x61922),f329(f329(f23(a909),x61921),f80(a909)))),f329(f329(f249(a909),x61922),x61921))
% 192.24/192.21 [6221]E(f329(f329(f83(a909),f329(a109,x62211)),f329(a109,x62212)),f329(a109,f329(f329(f83(a1),x62211),x62212)))+~P1(f329(f329(f239(a1),f2(a1)),x62211))
% 192.24/192.21 [6222]E(f329(f329(f37(a909),f329(a109,x62221)),f329(a109,x62222)),f329(a109,f329(f329(f37(a1),x62221),x62222)))+~P1(f329(f329(f239(a1),f2(a1)),x62221))
% 192.24/192.21 [6236]~P116(x62361)+E(f329(f329(f82(x62361),x62362),x62362),f329(f329(f83(x62361),f329(f329(f82(x62361),f80(x62361)),f80(x62361))),x62362))
% 192.24/192.21 [6258]E(f329(f329(f23(a1),f329(f105(a1),x62581)),f329(f105(a1),x62582)),f329(f105(a1),f329(f329(f23(a909),x62581),x62582)))+~P1(f329(f329(f239(a909),x62582),x62581))
% 192.24/192.21 [6260]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x62601),x62602)),f51(x62601,x62602))+~P1(f329(f329(f239(a1),x62602),f2(a1)))
% 192.24/192.21 [6291]E(f182(x62911,x62912),f118(f910(x62911)))+P1(f329(f329(f331(f910(x62911)),f689(x62912,x62911)),f329(f175(f910(x62911)),x62912)))
% 192.24/192.21 [6300]E(f121(a1,f329(f133(a1),x63001),f132(x63002,f329(f329(f82(a1),x63001),f80(a1)))),f132(x63002,x63001))+P1(f329(f329(f240(a1),x63002),x63001))
% 192.24/192.21 [6375]E(f329(f329(f154(a1),x63751),f181(f329(f329(f82(a1),x63751),f80(a1)),x63752)),f181(x63751,x63752))+~P1(f329(f329(f239(a1),x63751),x63752))
% 192.24/192.21 [6414]~P1(f329(f329(f240(a909),x64142),x64141))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f23(a909),x64141),x64142)))
% 192.24/192.21 [6445]~P1(f329(f329(f240(a909),x64451),f329(a109,x64452)))+P1(f329(f329(f240(a1),f329(f105(a1),x64451)),x64452))
% 192.24/192.21 [6474]~P112(x64741)+E(f329(f329(f115(f917(x64741,a904)),f329(f285(x64741),x64742)),f329(f329(f311(x64741),x64742),f191(f917(x64741,a904)))),f329(f303(x64741),x64742))
% 192.24/192.21 [6477]~P1(f329(f329(f240(a909),f2(a909)),x64771))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f249(a909),x64771),x64772)))
% 192.24/192.21 [6478]~P1(f329(f329(f239(a1),f2(a1)),x64781))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),x64781),x64782)))
% 192.24/192.21 [6508]~E(f329(x65081,f2(a909)),f2(a909))+E(f329(f329(f6(a909,a909),x65081),f305(a909,f329(a117,f2(a909)),x65082)),f329(f329(f6(a909,a909),x65081),f305(a909,f2(a909),x65082)))
% 192.24/192.21 [6573]~P96(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)))
% 192.24/192.21 [6588]E(f329(f329(f311(a1),x65881),f305(a1,f329(f329(f82(a1),x65881),f80(a1)),x65882)),f305(a1,x65881,x65882))+P1(f329(f329(f240(a1),x65882),x65881))
% 192.24/192.21 [6589]P1(f329(f329(f240(a909),x65891),f329(a109,x65892)))+~P1(f329(f329(f240(a1),f329(f105(a1),x65891)),x65892))
% 192.24/192.21 [6694]E(f329(a109,f329(f329(f37(a1),f329(f108(a1),x66941)),f329(f108(a1),x66942))),f329(f329(f37(a909),f329(f108(a909),x66941)),f329(f108(a909),x66942)))+P1(f329(a196,f329(f108(a1),x66941)))
% 192.24/192.21 [6751]P1(f329(f329(f240(a909),x67511),x67512))+~P1(f329(f329(f240(a909),f2(a909)),f329(f329(f23(a909),x67512),x67511)))
% 192.24/192.21 [6795]P1(f329(f329(f240(a909),f2(a909)),x67951))+~P1(f329(f329(f240(a909),f2(a909)),f329(f329(f83(a909),x67952),x67951)))
% 192.24/192.21 [6796]P1(f329(f329(f240(a909),f2(a909)),x67961))+~P1(f329(f329(f240(a909),f2(a909)),f329(f329(f83(a909),x67961),x67962)))
% 192.24/192.21 [6815]~P1(f329(f329(f239(a1),x68151),f2(a1)))+E(f329(f329(f83(a909),f329(a109,f329(f81(a1),x68151))),f329(a109,f329(f81(a1),x68152))),f329(a109,f329(f329(f83(a1),x68151),x68152)))
% 192.24/192.21 [6870]~E(x68702,f191(f917(x68701,a904)))+P1(f329(f329(f239(f917(x68701,a904)),x68702),f329(f81(f917(x68701,a904)),x68702)))
% 192.24/192.21 [6932]~P96(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)))
% 192.24/192.21 [6986]~P1(f329(f329(f240(a1),x69861),x69862))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x69861),f80(a1))),x69862))
% 192.24/192.21 [7053]E(x70531,f2(a909))+~P1(f329(f329(f239(a1),f329(f105(a1),x70532)),f329(f81(a1),f329(f105(a1),x70531))))
% 192.24/192.21 [7054]E(x70541,f2(a909))+~P1(f329(f329(f239(a1),f329(f105(a1),x70541)),f329(f81(a1),f329(f105(a1),x70542))))
% 192.24/192.21 [7154]E(f329(f329(f257(a1,a1),f329(f108(a1),a102)),f329(f329(f82(a1),x71541),x71542)),f51(x71541,x71542))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x71541),x71542)))
% 192.24/192.21 [7198]~P33(x71981,x71982)+P44(x71981,f329(f256(f917(f916(x71981,x71981),a904),f917(f916(x71981,x71981),a904)),x71982))
% 192.24/192.21 [7216]~P1(f329(f329(f239(a909),f329(a117,f2(a909))),x72161))+P1(f329(f329(f239(a909),f329(a117,f2(a909))),f329(f329(f249(a909),x72161),x72162)))
% 192.24/192.21 [7390]~P1(f329(f329(f240(a1),x73901),x73902))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x73901),x73901)),f329(f329(f82(a1),x73902),x73902)))
% 192.24/192.21 [7402]~P1(f329(f329(f239(a1),x74021),x74022))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x74021),x74021)),f329(f329(f82(a1),x74022),x74022)))
% 192.24/192.21 [7464]~P1(f329(f329(f240(a909),f2(a909)),x74641))+P1(f329(f329(f240(a909),f329(f329(f23(a909),x74641),f329(a117,x74642))),x74641))
% 192.24/192.21 [7496]P1(f329(f329(f239(a909),f329(a117,f2(a909))),x74961))+~P1(f329(f329(f239(a909),f329(a117,f2(a909))),f329(f329(f83(a909),x74962),x74961)))
% 192.24/192.21 [7497]P1(f329(f329(f239(a909),f329(a117,f2(a909))),x74971))+~P1(f329(f329(f239(a909),f329(a117,f2(a909))),f329(f329(f83(a909),x74971),x74972)))
% 192.24/192.21 [7501]P1(f329(f329(f239(a909),f329(f329(f167(a909),x75011),x75012)),f329(f168(a909),x75011)))+~P1(f329(f329(f240(a909),x75012),f329(f192(f910(a909)),x75011)))
% 192.24/192.21 [7543]P1(f329(f329(f240(a1),x75431),x75432))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x75431),f80(a1))),x75432))
% 192.24/192.21 [7589]P1(f329(f62(x75891),f247(f917(x75891,a904))))+~P1(f329(f62(f917(x75892,x75891)),f247(f917(f917(x75892,x75891),a904))))
% 192.24/192.21 [7590]P1(f329(f62(x75901),f247(f917(x75901,a904))))+~P1(f329(f62(f915(x75902,x75901)),f247(f917(f915(x75902,x75901),a904))))
% 192.24/192.21 [7591]P1(f329(f62(x75911),f247(f917(x75911,a904))))+~P1(f329(f62(f915(x75911,x75912)),f247(f917(f915(x75911,x75912),a904))))
% 192.24/192.21 [7630]E(x76301,f191(f917(x76302,a904)))+~P1(f329(f329(f239(f917(x76302,a904)),x76301),f329(f81(f917(x76302,a904)),x76301)))
% 192.24/192.21 [7767]E(f329(f145(f910(x77671),f910(x77671),f137(x77671),f118(x77671)),x77672),f118(x77671))+P1(f329(f329(f331(f910(x77671)),f724(x77672,x77671)),f329(f175(f910(x77671)),x77672)))
% 192.24/192.21 [7768]E(f329(f145(f910(x77681),f910(x77681),f137(x77681),f118(x77681)),x77682),f118(x77681))+P1(f329(f329(f331(f910(x77681)),f725(x77682,x77681)),f329(f175(f910(x77681)),x77682)))
% 192.24/192.21 [8013]P1(f329(f329(f240(a1),x80131),x80132))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x80131),x80131)),f329(f329(f82(a1),x80132),x80132)))
% 192.24/192.21 [8016]P1(f329(f329(f239(a1),x80161),x80162))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x80161),x80161)),f329(f329(f82(a1),x80162),x80162)))
% 192.24/192.21 [8112]~P116(x81121)+E(f329(f329(f83(x81121),f329(f329(f82(x81121),f80(x81121)),f80(x81121))),f329(f329(f6(a909,x81121),f105(x81121)),f305(a909,f80(a909),x81122))),f329(f329(f83(x81121),f329(f105(x81121),x81122)),f329(f329(f82(x81121),f329(f105(x81121),x81122)),f80(x81121))))
% 192.24/192.21 [8169]P1(f329(f329(f331(a909),x81691),x81692))+~P1(f329(f329(f331(a1),f329(f105(a1),x81691)),f329(f312(a909,a1,f105(a1)),x81692)))
% 192.24/192.21 [8326]~P1(f329(f62(x83261),x83262))+E(f329(f312(a909,x83261,f428(x83262,x83261)),f329(f267(a909),f329(f329(f7(a909,a909,a904),f240(a909)),f429(x83262,x83261)))),x83262)
% 192.24/192.21 [8617]P62(x86171,x86172)+P1(f329(f329(f331(f916(x86171,x86171)),f329(f329(f257(x86171,x86171),f501(x86172,x86171)),f501(x86172,x86171))),x86172))
% 192.24/192.21 [8618]P45(x86181,x86182)+P1(f329(f329(f331(f916(x86181,x86181)),f329(f329(f257(x86181,x86181),f814(x86182,x86181)),f817(x86182,x86181))),x86182))
% 192.24/192.21 [8619]P45(x86191,x86192)+P1(f329(f329(f331(f916(x86191,x86191)),f329(f329(f257(x86191,x86191),f817(x86192,x86191)),f818(x86192,x86191))),x86192))
% 192.24/192.21 [8620]P46(x86201,x86202)+P1(f329(f329(f331(f916(x86201,x86201)),f329(f329(f257(x86201,x86201),f729(x86202,x86201)),f728(x86202,x86201))),x86202))
% 192.24/192.21 [8621]P46(x86211,x86212)+P1(f329(f329(f331(f916(x86211,x86211)),f329(f329(f257(x86211,x86211),f728(x86212,x86211)),f729(x86212,x86211))),x86212))
% 192.24/192.21 [8622]P60(x86221,x86222)+P1(f329(f329(f331(f916(x86221,x86221)),f329(f329(f257(x86221,x86221),f828(x86222,x86221)),f829(x86222,x86221))),x86222))
% 192.24/192.21 [8763]~P96(x87631)+E(f329(f329(f23(x87631),f80(x87631)),f329(f108(x87631),x87632)),f329(f108(x87631),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x87632))))
% 192.24/192.21 [8876]~P1(f329(f329(f240(f917(a909,a904)),x88761),x88762))+P1(f329(f329(f240(f917(a1,a904)),f329(f312(a909,a1,f105(a1)),x88761)),f329(f312(a909,a1,f105(a1)),x88762)))
% 192.24/192.21 [8909]~P1(f329(f329(f240(a1),x89091),x89092))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89091),x89091)),a102)),f329(f329(f82(a1),x89092),x89092)))
% 192.24/192.21 [8911]~P1(f329(f329(f240(a1),x89111),x89112))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x89111),x89111)),a102)),f329(f329(f82(a1),x89112),x89112)))
% 192.24/192.21 [8980]~P1(f329(f329(f331(a909),x89801),f329(f175(a909),x89802)))+P1(f329(f329(f239(a909),x89801),f329(f145(a909,a909,f82(a909),f2(a909)),x89802)))
% 192.24/192.21 [9076]P54(x90761,x90762)+~P1(f329(f329(f331(f916(x90761,x90761)),f329(f329(f257(x90761,x90761),f487(x90762,x90761)),f487(x90762,x90761))),x90762))
% 192.24/192.21 [9077]P45(x90771,x90772)+~P1(f329(f329(f331(f916(x90771,x90771)),f329(f329(f257(x90771,x90771),f814(x90772,x90771)),f818(x90772,x90771))),x90772))
% 192.24/192.21 [9078]P60(x90781,x90782)+~P1(f329(f329(f331(f916(x90781,x90781)),f329(f329(f257(x90781,x90781),f829(x90782,x90781)),f828(x90782,x90781))),x90782))
% 192.24/192.21 [9218]~P1(f329(f329(f240(f917(a1,a904)),f329(f312(a909,a1,f105(a1)),x92181)),f329(f312(a909,a1,f105(a1)),x92182)))+P1(f329(f329(f240(f917(a909,a904)),x92181),x92182))
% 192.24/192.21 [9219]~P1(f329(f329(f239(f917(a1,a904)),f329(f312(a909,a1,f105(a1)),x92191)),f329(f312(a909,a1,f105(a1)),x92192)))+P1(f329(f329(f239(f917(a909,a904)),x92191),x92192))
% 192.24/192.21 [9314]P1(f329(f329(f240(a1),x93141),x93142))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93141),x93141)),a102)),f329(f329(f82(a1),x93142),x93142)))
% 192.24/192.21 [9316]P1(f329(f329(f240(a1),x93161),x93162))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x93161),x93161)),a102)),f329(f329(f82(a1),x93162),x93162)))
% 192.24/192.21 [10184]~P107(x101841)+E(f121(f910(x101841),f329(f133(f910(x101841)),f118(x101841)),f329(f329(f329(f99(f911(f910(x101841))),f329(f329(f240(a1),f2(a1)),x101842)),f329(f123(f916(x101841,f910(x101841)),f910(x101841),f134(x101841,f910(x101841),f135(x101841,f329(f329(f23(a1),x101842),f80(a1))),f135(f910(x101841),f329(f329(f23(a1),x101842),f80(a1))))),f329(f262(x101841,f910(x101841),f911(f910(x101841))),f329(f329(f8(f917(f910(x101841),f910(x101841)),f917(f910(x101841),f911(f910(x101841))),x101841),f329(f8(f910(x101841),f911(f910(x101841)),f910(x101841)),f133(f910(x101841)))),f154(x101841))))),f120(f910(x101841)))),f135(f910(x101841),x101842))
% 192.24/192.21 [10206]~P1(f329(f62(x102061),x102062))+E(f329(f192(f910(x102061)),f92(f910(x102061),f329(f329(f18(f910(x102061),a904,a904),f329(f329(f8(a904,f917(a904,a904),f910(x102061)),a327),f329(f329(f7(f910(x102061),f917(x102061,a904),a904),f329(f329(f8(f917(x102061,a904),f917(f917(x102061,a904),a904),f910(x102061)),a326),f175(x102061))),x102062))),f140(x102061)))),f218(x102061,x102062))
% 192.24/192.21 [6181]E(f329(f329(f82(a909),f329(f329(f23(a909),x61811),x61812)),x61812),x61811)+~P1(f329(f329(f239(a909),x61812),x61811))
% 192.24/192.21 [6254]E(f329(f329(f37(a909),f329(f329(f83(a909),x62541),x62542)),x62542),x62541)+~P1(f329(f329(f240(a909),f2(a909)),x62542))
% 192.24/192.21 [6255]E(f329(f329(f37(a909),f329(f329(f83(a909),x62551),x62552)),x62551),x62552)+~P1(f329(f329(f240(a909),f2(a909)),x62551))
% 192.24/192.21 [6259]~P77(x62591)+E(f329(f329(f6(a909,x62591),f329(f167(x62591),x62592)),f329(f304(a909,f2(a909)),f329(f192(f910(x62591)),x62592))),f329(f168(x62591),x62592))
% 192.24/192.21 [6367]E(f46(a909,f329(a117,f329(f329(f83(a909),x63671),x63672)),x63671),f80(a909))+~P1(f329(f329(f240(a909),f80(a909)),x63671))
% 192.24/192.21 [6373]E(f329(a117,f329(f329(f82(a909),f329(f108(a909),x63731)),x63732)),f329(f329(f82(a909),f80(a909)),x63732))+~P1(f329(a196,f329(f108(a1),x63731)))
% 192.24/192.21 [6402]E(f329(a109,f329(f329(f249(a1),f329(f108(a1),x64021)),x64022)),f329(f329(f249(a909),f329(f108(a909),x64021)),x64022))+P1(f329(a196,f329(f108(a1),x64021)))
% 192.24/192.21 [6644]E(f329(f329(f23(a909),x66441),f329(f108(a909),f329(f329(f82(a1),x66442),a102))),f329(f329(f23(a909),f329(a117,x66441)),f329(f108(a909),x66442)))+~P1(f329(f329(f240(a1),a85),x66442))
% 192.24/192.21 [6725]E(x67251,f2(a909))+E(f329(a117,f329(f329(f82(a909),f329(f329(f23(a909),x67251),f80(a909))),x67252)),f329(f329(f82(a909),x67251),x67252))
% 192.24/192.21 [6764]E(x67641,f2(a1))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67641)),x67642)))
% 192.24/192.21 [6780]~E(x67802,f2(a909))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x67801)),x67802)))
% 192.24/192.21 [6818]E(x68181,f2(a909))+E(f329(f329(f82(a909),x68182),f329(f329(f83(a909),f329(f329(f23(a909),x68181),f80(a909))),x68182)),f329(f329(f83(a909),x68181),x68182))
% 192.24/192.21 [6863]~P1(f329(f329(f239(a1),x68631),x68632))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x68631),a102)),x68632))
% 192.24/192.21 [6989]E(f329(f329(f154(a909),x69891),f142(a909,f329(f304(a909,f329(a117,x69891)),x69892))),f142(a909,f329(f304(a909,x69891),x69892)))+~P1(f329(f329(f240(a909),x69891),x69892))
% 192.24/192.21 [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))
% 192.24/192.21 [7192]E(x71921,f118(x71922))+E(f271(x71922,f329(f329(f157(x71922,f916(a104,x71922)),f329(f257(a104,x71922),f80(a104))),x71921)),f278(x71922,x71921))
% 192.24/192.21 [7429]P1(f329(f329(f239(a1),x74291),x74292))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x74291),a102)),x74292))
% 192.24/192.21 [7911]~P1(f329(f329(f240(a909),x79111),x79112))+P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),x79111),x79112)),a245))
% 192.24/192.21 [8141]~P1(f329(f329(f240(a104),f2(a104)),x81411))+P1(f329(f329(f240(a104),f329(f256(a104,f916(a104,a104)),f329(f272(x81411),x81412))),x81411))
% 192.24/192.21 [8408]~P45(x84081,x84082)+P45(x84081,f329(f329(f115(f917(f916(x84081,x84081),a904)),x84082),f309(x84081,f191(f917(f916(x84081,x84081),a904)))))
% 192.24/192.21 [8409]~P46(x84091,x84092)+P46(x84091,f329(f329(f115(f917(f916(x84091,x84091),a904)),x84092),f309(x84091,f191(f917(f916(x84091,x84091),a904)))))
% 192.24/192.21 [8459]~P89(x84591)+P1(f329(f329(f239(x84591),f329(f77(x84591),f329(f168(x84591),x84592))),f329(f168(x84591),f329(f329(f157(x84591,x84591),f77(x84591)),x84592))))
% 192.24/192.21 [8483]P1(f329(f329(f240(a909),x84831),x84832))+~P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),x84831),x84832)),a245))
% 192.24/192.21 [8646]E(f329(f329(f257(x86461,x86461),f616(x86462,x86461)),f616(x86462,x86461)),x86462)+~P1(f329(f329(f331(f916(x86461,x86461)),x86462),f309(x86461,f191(f917(f916(x86461,x86461),a904)))))
% 192.24/192.21 [8688]E(f329(f304(a909,x86881),f329(f329(f82(a909),x86881),f329(f36(a909),x86882))),x86882)+~P1(f329(f329(f239(f917(a909,a904)),x86882),f329(f304(a909,x86881),f329(f329(f82(a909),x86881),f329(f36(a909),x86882)))))
% 192.24/192.21 [8902]P46(x89021,x89022)+~P46(x89021,f329(f329(f115(f917(f916(x89021,x89021),a904)),x89022),f309(x89021,f191(f917(f916(x89021,x89021),a904)))))
% 192.24/192.21 [9026]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x90261),x90261)),a102))),f329(f108(a1),f329(f329(f82(a1),x90262),x90262))),f329(f329(f37(a1),f329(f108(a1),x90261)),f329(f108(a1),x90262)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x90262)))
% 192.24/192.21 [9120]~P45(x91201,x91202)+P1(f329(f329(f239(f917(f916(x91201,x91201),a904)),f329(f329(f291(x91201,x91201,x91201),x91202),x91202)),x91202))
% 192.24/192.21 [9147]E(f180(f910(x91471),f329(f329(f8(a904,a904,f910(x91471)),a324),f329(f329(f7(f910(x91471),f910(x91471),a904),a326),f118(x91471))),x91472),f182(x91471,f182(x91471,x91472)))+~P19(a909,f329(f171(a909),f329(f329(f157(f910(x91471),a909),f192(f910(x91471))),x91472)))
% 192.24/192.21 [9150]E(f329(f329(f37(a1),f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x91501),x91501)),a102))),f329(f108(a1),f329(f329(f82(a1),x91502),x91502))),f329(f329(f37(a1),f329(f329(f82(a1),f329(f108(a1),x91501)),f80(a1))),f329(f108(a1),x91502)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x91502)))
% 192.24/192.21 [9993]P1(f329(a196,x99932))+E(f329(f329(f88(a1,a909),f329(f329(f23(a1),x99931),x99932)),f329(f329(f18(a1,a909,a909),f329(f329(f7(a1,a909,f917(a909,a909)),f329(f329(f8(a904,f917(a909,f917(a909,a909)),a1),f99(a909)),a196)),f2(a909))),a109)),f329(f329(f23(a909),f329(a109,x99931)),f329(a109,x99932)))
% 192.24/192.21 [10001]E(f329(f329(f88(a1,a909),f329(f108(a1),f329(f329(f82(a1),x100011),f329(f81(a1),x100012)))),f329(f329(f18(a1,a909,a909),f329(f329(f7(a1,a909,f917(a909,a909)),f329(f329(f8(a904,f917(a909,f917(a909,a909)),a1),f99(a909)),a196)),f2(a909))),a109)),f329(f329(f23(a909),f329(f108(a909),x100011)),f329(f108(a909),x100012)))+P1(f329(f329(f240(a1),x100012),a85))
% 192.24/192.21 [10002]~P33(x100021,x100022)+P1(f329(f329(f239(f917(f916(x100021,x100021),a904)),f329(f329(f291(x100021,x100021,x100021),f329(f256(f917(f916(x100021,x100021),a904),f917(f916(x100021,x100021),a904)),x100022)),f329(f261(f917(f916(x100021,x100021),a904),f917(f916(x100021,x100021),a904)),x100022))),f329(f256(f917(f916(x100021,x100021),a904),f917(f916(x100021,x100021),a904)),x100022)))
% 192.24/192.21 [10059]~E(f329(f36(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,f917(a909,a904),a904),f331(a909)),x100591))),f329(f329(f7(a909,a909,a904),f240(a909)),f329(a117,x100592))))),f2(a909))+~P1(f329(f329(f331(a909),f2(a909)),x100591))
% 192.24/192.21 [10114]E(f46(a1,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x101141),x101141)),a102)),f329(f108(a1),f329(f329(f82(a1),x101142),x101142))),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),x101141),f329(f108(a1),x101142)))),f80(a1)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x101142)))
% 192.24/192.21 [10123]E(f46(a1,f329(f108(a1),f329(f329(f23(a1),f329(f329(f82(a1),x101231),x101231)),a102)),f329(f108(a1),f329(f329(f82(a1),x101232),x101232))),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),x101231)),f80(a1)),f329(f108(a1),x101232)))),f80(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x101232)))
% 192.24/192.21 [10172]~P11(x101721)+E(f38(x101721,f329(f267(x101721),f329(f329(f8(f917(x101721,a904),a904,x101721),f90(x101721)),f329(f329(f8(f917(x101721,a904),f917(x101721,a904),x101721),f329(f18(x101721,a904,a904),f329(f329(f8(a904,f917(a904,a904),x101721),a332),f329(f329(f7(x101721,f917(x101721,a904),a904),f331(x101721)),x101722)))),f239(x101721))))),f39(x101721,x101722))
% 192.24/192.21 [10199]~P44(x101991,x101992)+P68(x101991,f329(f329(f7(x101991,f917(f916(x101991,x101991),a904),f917(x101991,a904)),f329(f329(f8(f917(x101991,f917(f917(f916(x101991,x101991),a904),a904)),f917(f917(f916(x101991,x101991),a904),f917(x101991,a904)),x101991),f7(x101991,f917(f916(x101991,x101991),a904),a904)),f329(f329(f8(f917(x101991,f916(x101991,x101991)),f917(x101991,f917(f917(f916(x101991,x101991),a904),a904)),x101991),f329(f8(f916(x101991,x101991),f917(f917(f916(x101991,x101991),a904),a904),x101991),f331(f916(x101991,x101991)))),f257(x101991,x101991)))),x101992))
% 192.24/192.21 [10200]~P14(x102001,f247(f917(x102001,a904)),x102002)+P13(x102001,f329(f329(f7(x102001,f917(f916(x102001,x102001),a904),f917(x102001,a904)),f329(f329(f8(f917(x102001,f917(f917(f916(x102001,x102001),a904),a904)),f917(f917(f916(x102001,x102001),a904),f917(x102001,a904)),x102001),f7(x102001,f917(f916(x102001,x102001),a904),a904)),f329(f329(f8(f917(x102001,f916(x102001,x102001)),f917(x102001,f917(f917(f916(x102001,x102001),a904),a904)),x102001),f329(f8(f916(x102001,x102001),f917(f917(f916(x102001,x102001),a904),a904),x102001),f331(f916(x102001,x102001)))),f257(x102001,x102001)))),x102002))
% 192.24/192.21 [10244]P44(x102441,x102442)+~P68(x102441,f329(f329(f7(x102441,f917(f916(x102441,x102441),a904),f917(x102441,a904)),f329(f329(f8(f917(x102441,f917(f917(f916(x102441,x102441),a904),a904)),f917(f917(f916(x102441,x102441),a904),f917(x102441,a904)),x102441),f7(x102441,f917(f916(x102441,x102441),a904),a904)),f329(f329(f8(f917(x102441,f916(x102441,x102441)),f917(x102441,f917(f917(f916(x102441,x102441),a904),a904)),x102441),f329(f8(f916(x102441,x102441),f917(f917(f916(x102441,x102441),a904),a904),x102441),f331(f916(x102441,x102441)))),f257(x102441,x102441)))),x102442))
% 192.24/192.21 [10245]P14(x102451,f247(f917(x102451,a904)),x102452)+~P13(x102451,f329(f329(f7(x102451,f917(f916(x102451,x102451),a904),f917(x102451,a904)),f329(f329(f8(f917(x102451,f917(f917(f916(x102451,x102451),a904),a904)),f917(f917(f916(x102451,x102451),a904),f917(x102451,a904)),x102451),f7(x102451,f917(f916(x102451,x102451),a904),a904)),f329(f329(f8(f917(x102451,f916(x102451,x102451)),f917(x102451,f917(f917(f916(x102451,x102451),a904),a904)),x102451),f329(f8(f916(x102451,x102451),f917(f917(f916(x102451,x102451),a904),a904),x102451),f331(f916(x102451,x102451)))),f257(x102451,x102451)))),x102452))
% 192.24/192.21 [7377]E(f329(f329(f82(a909),f329(f108(a909),f329(f329(f23(a1),x73771),a102))),x73772),f329(a117,f329(f329(f82(a909),f329(f108(a909),x73771)),x73772)))+P1(f329(a196,f329(f108(a1),x73771)))
% 192.24/192.21 [7825]~P96(x78251)+E(f329(f329(f82(x78251),f329(f329(f82(x78251),f80(x78251)),f329(f108(x78251),x78252))),f329(f108(x78251),x78252)),f329(f108(x78251),f329(f329(f23(a1),f329(f329(f82(a1),x78252),x78252)),a102)))
% 192.24/192.21 [8485]~P1(f329(f329(f239(a1),x84851),x84852))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x84851),x84851)),f329(f329(f23(a1),f329(f329(f82(a1),x84852),x84852)),a102)))
% 192.24/192.21 [8487]~P1(f329(f329(f239(a1),x84871),x84872))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x84871),x84871)),f329(f329(f23(a1),f329(f329(f82(a1),x84872),x84872)),a102)))
% 192.24/192.21 [8913]P1(f329(f329(f239(a1),x89131),x89132))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),x89131),x89131)),f329(f329(f23(a1),f329(f329(f82(a1),x89132),x89132)),a102)))
% 192.24/192.21 [8915]P1(f329(f329(f239(a1),x89151),x89152))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x89151),x89151)),f329(f329(f23(a1),f329(f329(f82(a1),x89152),x89152)),a102)))
% 192.24/192.21 [9207]~P1(f329(f329(f240(a1),x92071),x92072))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92071),x92071)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x92072),x92072)),a102)))
% 192.24/192.21 [9209]~P1(f329(f329(f239(a1),x92091),x92092))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x92091),x92091)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x92092),x92092)),a102)))
% 192.24/192.21 [9483]P1(f329(f329(f240(a1),x94831),x94832))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94831),x94831)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94832),x94832)),a102)))
% 192.24/192.21 [9485]P1(f329(f329(f239(a1),x94851),x94852))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),x94851),x94851)),a102)),f329(f329(f23(a1),f329(f329(f82(a1),x94852),x94852)),a102)))
% 192.24/192.21 [9517]~P1(f329(f62(x95171),x95172))+P1(f329(f62(f917(x95171,a904)),f329(f267(f917(x95171,a904)),f329(f329(f7(f917(x95171,a904),f917(x95171,a904),a904),f239(f917(x95171,a904))),x95172))))
% 192.24/192.21 [9567]~E(f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),x95671),f191(f917(f916(a909,a909),a904)))),f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),x95672),f191(f917(f916(a909,a909),a904)))))+P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),x95671),x95672)),a113))
% 192.24/192.21 [9655]E(f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),x96551),f191(f917(f916(a909,a909),a904)))),f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),x96552),f191(f917(f916(a909,a909),a904)))))+~P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),x96551),x96552)),a113))
% 192.24/192.21 [9690]P1(f329(f329(f239(a1),f2(a1)),f662(x96901,x96902)))+E(f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x96901)),f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x96902)))
% 192.24/192.21 [10183]~P11(x101831)+E(f39(x101831,f329(f267(x101831),f329(f329(f8(f917(x101831,a904),a904,x101831),f90(x101831)),f329(f329(f8(f917(x101831,a904),f917(x101831,a904),x101831),f329(f18(x101831,a904,a904),f329(f329(f8(a904,f917(a904,a904),x101831),a332),f329(f329(f7(x101831,f917(x101831,a904),a904),f331(x101831)),x101832)))),f329(f7(x101831,x101831,a904),f239(x101831)))))),f38(x101831,x101832))
% 192.24/192.21 [10205]P1(f329(f329(f331(a909),f2(a909)),x102051))+E(f329(f36(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,f917(a909,a904),a904),f329(f329(f8(a909,f917(f917(a909,a904),a904),a909),f331(a909)),a117)),x102051))),f329(f329(f7(a909,a909,a904),f240(a909)),x102052)))),f329(f36(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,f917(a909,a904),a904),f331(a909)),x102051))),f329(f329(f7(a909,a909,a904),f240(a909)),f329(a117,x102052))))))
% 192.24/192.21 [7694]~P96(x76941)+E(f329(f329(f83(x76941),x76942),f329(f108(x76941),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x76942)
% 192.24/192.21 [7963]~P96(x79631)+E(f329(f329(f82(x79631),f329(f108(x79631),x79632)),f80(x79631)),f329(f108(x79631),f329(f329(f82(a1),x79632),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))))
% 192.24/192.21 [8110]P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x81102)))+E(f329(f329(f249(a1),x81101),f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),x81102),x81102)),a102))),f80(a1))
% 192.24/192.21 [9541]~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x95412)))+E(f329(f329(f249(a1),x95411),f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),x95412),x95412)),a102))),f329(f329(f88(a1,a1),f329(f329(f249(a1),x95411),f329(f108(a909),x95412))),f329(f329(f18(a1,a1,a1),f329(f329(f8(a1,f917(a1,a1),a1),f83(a1)),f329(f83(a1),x95411))),f5(a1))))
% 192.24/192.21 [9914]~P1(f329(f329(f239(a909),f675(x99142,x99141)),f329(x99141,f675(x99142,x99141))))+P1(f329(f62(a909),f329(f267(a909),f329(f329(f7(a909,a909,a904),f329(f329(f8(a909,f917(a909,a904),a909),f239(a909)),x99141)),x99142))))
% 192.24/192.21 [10049]~P1(f329(f329(f240(a909),f329(f108(a909),x100491)),f329(a117,x100492)))+P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x100491),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),f240(a909)),a109)),x100492))))
% 192.24/192.21 [10050]~P1(f329(f329(f239(a909),f329(f108(a909),x100501)),f329(a117,x100502)))+P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x100501),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),f239(a909)),a109)),x100502))))
% 192.24/192.21 [10098]P1(f329(f329(f240(a909),f329(f108(a909),x100981)),f329(a117,x100982)))+~P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x100981),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),f240(a909)),a109)),x100982))))
% 192.24/192.21 [10099]P1(f329(f329(f239(a909),f329(f108(a909),x100991)),f329(a117,x100992)))+~P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x100991),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),f239(a909)),a109)),x100992))))
% 192.24/192.21 [10129]~P1(f329(f329(f240(a909),f329(a117,x101292)),f329(f108(a909),x101291)))+P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x101291),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f8(a909,a904,a1),f329(f240(a909),x101292)),a109)))))
% 192.24/192.21 [10130]~P1(f329(f329(f239(a909),f329(a117,x101302)),f329(f108(a909),x101301)))+P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x101301),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f8(a909,a904,a1),f329(f239(a909),x101302)),a109)))))
% 192.24/192.21 [10170]P1(f329(f329(f240(a909),f329(a117,x101701)),f329(f108(a909),x101702)))+~P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x101702),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f8(a909,a904,a1),f329(f240(a909),x101701)),a109)))))
% 192.24/192.21 [10171]P1(f329(f329(f239(a909),f329(a117,x101711)),f329(f108(a909),x101712)))+~P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x101712),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f8(a909,a904,a1),f329(f239(a909),x101711)),a109)))))
% 192.24/192.21 [10254]~P1(f329(f329(f331(a909),f2(a909)),x102541))+E(f329(a117,f329(f36(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,f917(a909,a904),a904),f329(f329(f8(a909,f917(f917(a909,a904),a904),a909),f331(a909)),a117)),x102541))),f329(f329(f7(a909,a909,a904),f240(a909)),x102542))))),f329(f36(a909),f329(f267(a909),f329(f329(f18(a909,a904,a904),f329(f329(f8(a904,f917(a904,a904),a909),a327),f329(f329(f7(a909,f917(a909,a904),a904),f331(a909)),x102541))),f329(f329(f7(a909,a909,a904),f240(a909)),f329(a117,x102542))))))
% 192.24/192.21 [8672]~P96(x86721)+E(f329(f329(f83(x86721),f329(f108(x86721),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x86722),x86722)
% 192.24/192.21 [8731]~P96(x87311)+E(f329(f329(f82(x87311),f80(x87311)),f329(f108(x87311),x87312)),f329(f108(x87311),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x87312)))
% 192.24/192.21 [8790]~P96(x87901)+E(f329(f329(f23(x87901),f329(f108(x87901),x87902)),f80(x87901)),f329(f108(x87901),f329(f329(f82(a1),x87902),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 192.24/192.21 [8930]~P1(f329(f329(f240(a909),f329(f108(a909),a85)),x89302))+E(f329(f329(f23(a909),x89301),f329(f329(f23(a909),x89302),f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))),f329(f329(f23(a909),f329(a117,x89301)),x89302))
% 192.24/192.21 [9585]~P116(x95851)+E(f329(f329(f83(x95851),x95852),x95852),f329(f329(f249(x95851),x95852),f329(f108(a909),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)))))
% 192.24/192.21 [9586]~P85(x95861)+E(f329(f329(f249(x95861),x95862),f329(f108(a909),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(x95861),x95862),x95862))
% 192.24/192.21 [9588]~P96(x95881)+E(f329(f329(f83(x95881),x95882),f329(f108(x95881),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(x95881),x95882),x95882))
% 192.24/192.21 [9831]~P120(x98311)+E(f329(f329(f249(x98311),f329(f77(x98311),x98312)),f329(f108(a909),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(a909),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)))))
% 192.24/192.21 [9832]~P129(x98321)+E(f329(f329(f249(x98321),f329(f81(x98321),x98322)),f329(f108(a909),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(x98321),x98322),f329(f108(a909),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)))))
% 192.24/192.21 [9828]~P96(x98281)+E(f329(f329(f83(x98281),f329(f108(x98281),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)))),x98282),f329(f329(f82(x98281),x98282),x98282))
% 192.24/192.21 [9948]~P120(x99481)+E(f329(f77(x99481),f329(f329(f249(x99481),x99482),f329(f108(a909),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(x99481),x99482),f329(f108(a909),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)))))
% 192.24/192.21 [10009]~P120(x100091)+P1(f329(f329(f239(x100091),f2(x100091)),f329(f329(f249(x100091),x100092),f329(f108(a909),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))))))
% 192.24/192.21 [10161]~E(f329(a117,x101612),f329(f108(a909),x101611))+P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x101611),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),a326),a109)),x101612)))))
% 192.24/192.21 [10162]~E(f329(f108(a909),x101621),f329(a117,x101622))+P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x101621),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),a326),a109)),x101622)))))
% 192.24/192.21 [10208]E(f329(a117,x102081),f329(f108(a909),x102082))+~P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x102082),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),a326),a109)),x102081)))))
% 192.24/192.21 [10209]E(f329(f108(a909),x102091),f329(a117,x102092))+~P1(f329(f329(f88(a1,a904),f329(f108(a1),f329(f329(f82(a1),x102091),a102))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a332),f329(f329(f8(a904,a904,a1),a324),a196))),f329(f329(f7(a1,a909,a904),f329(f329(f8(a909,f917(a909,a904),a1),a326),a109)),x102092)))))
% 192.24/192.21 [10255]~P21(x102551,x102552)+P1(f329(f329(f331(f917(x102551,a904)),f837(x102552,x102551)),f329(f329(f8(f917(x102551,a904),a904,f917(x102551,a904)),f89(x102551)),f329(f329(f8(f917(x102551,a904),f917(x102551,a904),f917(x102551,a904)),f329(f18(x102551,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102551),a327),f329(f329(f18(x102551,x102551,a904),x102552),f5(x102551))))),f329(f329(f7(f917(x102551,a904),f917(x102551,f917(x102551,a904)),f917(x102551,a904)),f329(f329(f8(f917(f917(x102551,a904),a904),f917(f917(x102551,f917(x102551,a904)),f917(x102551,a904)),f917(x102551,a904)),f8(f917(x102551,a904),a904,x102551)),a326)),x102552)))))
% 192.24/192.21 [10007]~P96(x100071)+E(f329(f329(f249(x100071),f329(f108(x100071),a102)),f329(f329(f83(a909),f329(f108(a909),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))
% 192.24/192.21 [10008]~P129(x100081)+E(f329(f329(f249(x100081),f329(f81(x100081),f80(x100081))),f329(f329(f83(a909),f329(f108(a909),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)))),x100082)),f80(x100081))
% 192.24/192.21 [10011]~P85(x100111)+E(f329(f329(f249(x100111),x100112),f329(f108(a909),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(x100111),f329(f329(f83(x100111),x100112),x100112)),x100112))
% 192.24/192.21 [10188]~P1(f329(f329(f239(a1),f2(a1)),x101882))+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)))),x101881)),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)))),x101882)),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,x101881,x101882))))
% 192.24/192.21 [10211]~P1(f329(f329(f239(a1),f2(a1)),x102112))+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)))),x102111))),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)))),x102112)),f329(f329(f37(a1),x102111),x102112))
% 192.24/192.21 [10213]~P1(f329(f329(f239(a1),x102132),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)))),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(f37(a1),f329(f329(f82(a1),x102131),f80(a1))),x102132))
% 192.24/192.21 [10214]~P1(f329(f329(f239(a1),x102142),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)))),x102141)),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)))),x102142)),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),x102141),f80(a1)),x102142))),f80(a1)))
% 192.24/192.21 [10089]~P96(x100891)+E(f329(f329(f249(x100891),f329(f108(x100891),a102)),f329(a117,f329(f329(f83(a909),f329(f108(a909),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)))),x100892))),f329(f108(x100891),a102))
% 192.24/192.21 [10091]~P129(x100911)+E(f329(f329(f249(x100911),f329(f81(x100911),f80(x100911))),f329(a117,f329(f329(f83(a909),f329(f108(a909),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)))),x100912))),f329(f81(x100911),f80(x100911)))
% 192.24/192.21 [5046]P45(x50461,x50462)+~P14(x50461,x50463,x50462)
% 192.24/192.21 [5048]P60(x50481,x50482)+~P14(x50481,x50483,x50482)
% 192.24/192.21 [5221]~P14(x52211,x52212,x52213)+P61(x52211,x52212,x52213)
% 192.24/192.21 [6237]E(x62371,x62372)+~P49(a25,x62371,x62373,x62372)
% 192.24/192.21 [8184]~E(x81842,x81843)+P41(x81841,x81841,a326,x81842,x81843)
% 192.24/192.21 [8744]E(x87441,x87442)+~P41(x87443,x87443,a326,x87441,x87442)
% 192.24/192.21 [4853]E(f172(x48531,x48532,x48533),f118(x48531))+~E(x48532,f2(a909))
% 192.24/192.21 [5021]~E(f172(x50212,x50211,x50213),f118(x50212))+E(x50211,f2(a909))
% 192.24/192.21 [5226]~P44(x52261,x52263)+P44(x52261,f323(x52261,x52262,x52263))
% 192.24/192.21 [5337]~P37(x53371,x53372,x53373)+P38(a1,x53371,f181(x53372,x53373))
% 192.24/192.21 [5392]P34(x53921,x53922,x53923)+~P34(x53921,f329(a117,x53922),x53923)
% 192.24/192.21 [5410]P37(x54101,x54102,x54103)+~P38(a1,x54101,f181(x54102,x54103))
% 192.24/192.21 [5480]~P14(x54801,x54802,x54803)+P14(f910(x54801),f164(x54801,x54802),f161(x54801,x54803))
% 192.24/192.21 [5481]~P61(x54811,x54812,x54813)+P61(f910(x54811),f164(x54811,x54812),f161(x54811,x54813))
% 192.24/192.21 [5590]P64(x55901,x55902,x55903)+~E(f585(x55903,x55902,x55901),f586(x55903,x55902,x55901))
% 192.24/192.21 [5591]P63(x55911,x55912,x55913)+~E(f598(x55913,x55912,x55911),f599(x55913,x55912,x55911))
% 192.24/192.21 [6547]P35(x65471,x65472,x65473)+~P34(x65471,f570(x65473,x65472,x65471),f574(x65473,x65472,x65471))
% 192.24/192.21 [4808]~E(f329(f171(x48082),x48081),x48083)+E(x48081,f329(f171(x48082),x48083))
% 192.24/192.21 [4809]~E(x48092,f329(f171(x48091),x48093))+E(f329(f171(x48091),x48092),x48093)
% 192.24/192.21 [4859]E(x48591,x48592)+~E(f329(f171(x48593),x48591),f329(f171(x48593),x48592))
% 192.24/192.21 [5072]~P13(x50723,x50721)+P1(f329(f329(x50721,x50722),x50722))
% 192.24/192.21 [5073]~P57(x50733,x50731)+P1(f329(f329(x50731,x50732),x50732))
% 192.24/192.21 [5075]~P68(x50751,x50752)+P1(f329(f317(x50751,x50752),x50753))
% 192.24/192.21 [5139]~P44(x51391,x51392)+P44(f910(x51391),f329(f146(x51391,x51392),x51393))
% 192.24/192.21 [5144]~P1(f329(x51442,x51443))+~E(f329(f267(x51441),x51442),f191(f917(x51441,a904)))
% 192.24/192.21 [5145]~P1(f329(x51452,x51453))+~E(f191(f917(x51451,a904)),f329(f267(x51451),x51452))
% 192.24/192.21 [5157]E(x51571,f2(a909))+E(f147(x51572,f172(x51572,x51571,x51573)),x51573)
% 192.24/192.21 [5175]~P1(f329(x51751,x51753))+P1(f329(x51751,f92(x51752,x51751)))
% 192.24/192.21 [5176]~P1(f329(x51761,x51763))+P1(f329(x51761,f760(x51761,x51762)))
% 192.24/192.21 [5188]E(x51881,f2(a909))+E(f329(f144(x51882),f172(x51882,x51881,x51883)),x51883)
% 192.24/192.21 [5300]~E(x53002,x53003)+P1(f329(f329(f331(x53001),x53002),f329(a326,x53003)))
% 192.24/192.21 [5315]~E(x53152,f2(a909))+E(f329(f175(x53151),f172(x53151,x53152,x53153)),f191(f917(x53151,a904)))
% 192.24/192.21 [5359]E(f329(f171(x53591),x53592),f329(f329(f154(x53591),x53593),f118(x53591)))+~E(x53592,f329(f329(f154(x53591),x53593),f118(x53591)))
% 192.24/192.21 [5360]~E(x53603,f329(f329(f154(x53601),x53602),f118(x53601)))+E(f329(f329(f154(x53601),x53602),f118(x53601)),f329(f171(x53601),x53603))
% 192.24/192.21 [5406]~P40(x54061,x54062,x54063)+P40(x54061,x54062,f329(f171(x54061),x54063))
% 192.24/192.21 [5407]~P38(x54071,x54072,x54073)+P38(x54071,x54072,f329(f171(x54071),x54073))
% 192.24/192.21 [5411]E(f329(f36(x54111),f761(x54112,x54113,x54111)),x54112)+~E(f329(f36(x54111),x54113),f329(a117,x54112))
% 192.24/192.21 [5418]~P44(x54181,x54183)+P1(f329(f329(f331(x54181),x54182),f318(x54181,x54183)))
% 192.24/192.21 [5422]~E(f329(f171(x54222),x54221),f329(f329(f154(x54222),x54223),f118(x54222)))+E(x54221,f329(f329(f154(x54222),x54223),f118(x54222)))
% 192.24/192.21 [5423]~E(f329(f329(f154(x54232),x54233),f118(x54232)),f329(f171(x54232),x54231))+E(x54231,f329(f329(f154(x54232),x54233),f118(x54232)))
% 192.24/192.21 [5446]E(f87(f916(a909,a909),f49(x54461,x54462)),x54463)+~P1(f329(f49(x54461,x54462),x54463))
% 192.24/192.21 [5484]P40(x54841,x54842,x54843)+~P40(x54841,x54842,f329(f171(x54841),x54843))
% 192.24/192.21 [5485]P38(x54851,x54852,x54853)+~P38(x54851,x54852,f329(f171(x54851),x54853))
% 192.24/192.21 [5544]~E(x55442,f118(x55441))+P1(f329(f329(f331(f910(x55441)),x55442),f164(x55441,x55443)))
% 192.24/192.21 [5553]~P61(x55531,x55532,x55533)+P61(x55531,x55532,f329(f289(x55531,x55531),x55533))
% 192.24/192.21 [5554]~P64(x55541,x55542,x55543)+P64(x55541,x55542,f329(f289(x55541,x55541),x55543))
% 192.24/192.21 [5571]~P9(x55711)+E(f46(x55711,f46(x55711,x55712,x55713),x55713),f46(x55711,x55712,x55713))
% 192.24/192.21 [5672]E(x56721,x56722)+~P1(f329(f329(f331(x56723),x56721),f329(a326,x56722)))
% 192.24/192.21 [5718]~P109(x57181)+E(f193(x57181,x57182,f2(a909),x57183),x57183)
% 192.24/192.21 [5740]P61(x57401,x57402,x57403)+~P61(x57401,x57402,f329(f289(x57401,x57401),x57403))
% 192.24/192.21 [5741]P64(x57411,x57412,x57413)+~P64(x57411,x57412,f329(f289(x57411,x57411),x57413))
% 192.24/192.21 [5745]~P112(x57452)+E(f153(x57451,x57452,x57453,f118(x57451)),f118(x57451))
% 192.24/192.21 [5758]E(f173(x57581,x57582,f155(x57581,x57583)),f155(x57581,f173(x57581,x57582,x57583)))+~P1(f329(f140(x57581),x57583))
% 192.24/192.21 [5859]E(f329(f139(x58591,x58592),x58593),f118(x58591))+P1(f329(x58592,f700(x58593,x58592,x58591)))
% 192.24/192.21 [5917]E(f69(x59171,x59172,x59173),x59172)+P1(f329(x59173,f779(x59172,x59171,x59173)))
% 192.24/192.21 [6011]~P1(f329(f140(x60111),x60112))+P1(f329(f140(x60111),f179(x60111,x60112,x60113)))
% 192.24/192.21 [6012]~P1(f329(f140(x60121),x60123))+P1(f329(f140(x60121),f173(x60121,x60122,x60123)))
% 192.24/192.21 [6013]~P1(f329(f140(x60131),x60133))+P1(f329(f140(x60131),f180(x60131,x60132,x60133)))
% 192.24/192.21 [6014]~P1(f329(f140(x60141),x60143))+P1(f329(f140(x60141),f143(x60141,x60142,x60143)))
% 192.24/192.21 [6015]~P148(x60151,x60152,x60153)+P1(f329(x60151,f46(a1,x60152,x60153)))
% 192.24/192.21 [6031]~P40(x60313,x60311,x60312)+P1(f329(x60311,f773(x60312,x60311,x60313)))
% 192.24/192.21 [6032]~P42(x60323,x60321,x60322)+P1(f329(x60321,f780(x60322,x60321,x60323)))
% 192.24/192.21 [6033]~P42(x60333,x60331,x60332)+P1(f329(x60331,f793(x60332,x60331,x60333)))
% 192.24/192.21 [6034]~P40(x60343,x60341,x60342)+P1(f329(x60341,f821(x60342,x60341,x60343)))
% 192.24/192.21 [6035]~P40(x60353,x60351,x60352)+P1(f329(x60351,f822(x60351,x60352,x60353)))
% 192.24/192.21 [6054]E(f329(f139(x60541,x60542),x60543),f180(x60541,x60542,x60543))+P1(f329(x60542,f744(x60543,x60542,x60541)))
% 192.24/192.21 [6097]~P1(f329(f140(x60971),x60973))+P1(f329(f140(f910(x60971)),f56(x60971,x60972,x60973)))
% 192.24/192.21 [6131]~P113(x61311)+E(f329(f329(f106(f917(x61311,a904)),f329(f285(x61311),x61312)),f305(x61311,x61312,x61313)),f191(f917(x61311,a904)))
% 192.24/192.21 [6132]~P113(x61321)+E(f329(f329(f106(f917(x61321,a904)),f329(f303(x61321),x61322)),f308(x61321,x61322,x61323)),f191(f917(x61321,a904)))
% 192.24/192.21 [6133]~P113(x61331)+E(f329(f329(f106(f917(x61331,a904)),f329(f303(x61331),x61332)),f307(x61331,x61332,x61333)),f191(f917(x61331,a904)))
% 192.24/192.21 [6363]E(f329(f139(x63631,x63632),x63633),x63633)+~P1(f329(x63632,f701(x63633,x63632,x63631)))
% 192.24/192.21 [6365]E(f329(f329(f311(x63651),f763(x63652,x63653,x63651)),f761(x63652,x63653,x63651)),x63653)+~E(f329(f36(x63651),x63653),f329(a117,x63652))
% 192.24/192.21 [6380]P148(x63801,x63802,x63803)+~P1(f329(x63801,f46(a1,x63802,x63803)))
% 192.24/192.21 [6429]P38(x64291,x64292,x64293)+~P1(f329(x64292,f781(x64293,x64292,x64291)))
% 192.24/192.21 [6430]P38(x64301,x64302,x64303)+~P1(f329(x64302,f790(x64302,x64303,x64301)))
% 192.24/192.21 [6431]P38(x64311,x64312,x64313)+~P1(f329(x64312,f791(x64313,x64312,x64311)))
% 192.24/192.21 [6432]P37(x64321,x64322,x64323)+~P1(f329(x64321,f805(x64323,x64322,x64321)))
% 192.24/192.21 [6434]E(f180(x64341,x64342,x64343),x64343)+~P1(f329(x64342,f740(x64343,x64342,x64341)))
% 192.24/192.21 [6516]~P1(f329(x65162,f560(x65163,x65162,x65161)))+P1(f329(f253(x65161,x65162),x65163))
% 192.24/192.21 [6517]~P1(f329(x65172,f702(x65173,x65172,x65171)))+P1(f329(f163(x65171,x65172),x65173))
% 192.24/192.21 [6765]~P1(f329(f317(x67651,x67652),f476(x67653,x67652,x67651)))+P1(f329(f317(x67651,x67652),x67653))
% 192.24/192.21 [6766]~P1(f329(f317(x67661,x67662),f496(x67663,x67662,x67661)))+P1(f329(f317(x67661,x67662),x67663))
% 192.24/192.21 [7378]~P9(x73781)+E(f329(f329(f82(x73781),f329(f329(f83(x73781),x73782),f329(f329(f37(x73781),x73783),x73782))),f46(x73781,x73783,x73782)),x73783)
% 192.24/192.21 [7407]P37(x74071,x74072,x74073)+P1(f329(f329(f331(a1),f805(x74073,x74072,x74071)),f305(a1,x74072,x74073)))
% 192.24/192.21 [7847]E(f329(f329(f257(x78471,x78471),f512(x78472,x78473,x78471)),f512(x78472,x78473,x78471)),x78473)+~P1(f329(f329(f331(f916(x78471,x78471)),x78473),f268(x78471,x78472)))
% 192.24/192.21 [7971]~P1(f329(f329(f331(x79711),f525(x79713,x79712,x79711)),f318(x79711,x79713)))+P1(f329(f329(f331(x79711),x79712),f318(x79711,x79713)))
% 192.24/192.21 [7972]~P1(f329(f329(f331(x79721),f587(x79723,x79722,x79721)),f318(x79721,x79723)))+P1(f329(f329(f331(x79721),x79722),f318(x79721,x79723)))
% 192.24/192.21 [7973]~P1(f329(f329(f331(x79731),f588(x79733,x79732,x79731)),f318(x79731,x79733)))+P1(f329(f329(f331(x79731),x79732),f318(x79731,x79733)))
% 192.24/192.21 [8067]P40(a1,x80671,f181(x80672,x80673))+P37(f329(f74(a904,a904,a1,a324),x80671),x80672,x80673)
% 192.24/192.21 [8165]~P9(x81651)+E(f329(f329(f82(x81651),f329(f329(f83(x81651),f329(f329(f37(x81651),x81652),x81653)),x81653)),f46(x81651,x81652,x81653)),x81652)
% 192.24/192.21 [8212]~E(f329(f36(x82121),x82122),f329(a117,x82123))+~P1(f329(f329(f331(x82121),f763(x82123,x82122,x82121)),f761(x82123,x82122,x82121)))
% 192.24/192.21 [8664]~P40(a1,x86641,f181(x86642,x86643))+~P37(f329(f74(a904,a904,a1,a324),x86641),x86642,x86643)
% 192.24/192.21 [8840]P1(f329(f329(f239(f917(f916(x88401,x88401),a904)),f309(x88401,x88402)),f309(x88401,x88403)))+~P1(f329(f329(f239(f917(f916(x88401,x88401),a904)),x88402),f309(x88401,x88403)))
% 192.24/192.21 [9116]E(x91161,f118(x91162))+~P1(f329(f329(f331(f916(f910(x91162),f910(x91162))),f329(f329(f257(f910(x91162),f910(x91162)),x91161),f118(x91162))),f161(x91162,x91163)))
% 192.24/192.21 [9141]E(x91411,f118(x91412))+~P1(f329(f329(f331(f916(f910(x91412),f910(x91412))),f329(f329(f257(f910(x91412),f910(x91412)),f118(x91412)),x91411)),f161(x91412,x91413)))
% 192.24/192.21 [9276]E(f329(f329(f154(x92761),f714(x92762,x92763,x92761)),f715(x92762,x92763,x92761)),x92763)+~P1(f329(f329(f331(f916(f910(x92761),f910(x92761))),f329(f329(f257(f910(x92761),f910(x92761)),f118(x92761)),x92763)),f150(x92761,x92762)))
% 192.24/192.21 [9510]~P127(x95101)+~P1(f329(f329(f240(x95101),f329(f329(f82(x95101),f329(f329(f83(x95101),x95102),x95102)),f329(f329(f83(x95101),x95103),x95103))),f2(x95101)))
% 192.24/192.21 [9560]P1(f329(f62(x95601),x95602))+~P1(f329(f329(f331(f916(f917(x95601,a904),f917(x95601,a904))),f329(f329(f257(f917(x95601,a904),f917(x95601,a904)),x95603),x95602)),f316(x95601)))
% 192.24/192.21 [9856]~P55(x98561,x98562,x98563)+P1(f329(f329(f240(a1),f329(f329(f74(f916(a1,a1),a1,x98561,f256(a1,a1)),f216(x98561)),f234(x98561,x98562,f231(x98561,x98563)))),f2(a1)))
% 192.24/192.21 [9857]~P56(x98571,x98572,x98573)+P1(f329(f329(f239(a1),f329(f329(f74(f916(a1,a1),a1,x98571,f256(a1,a1)),f216(x98571)),f234(x98571,x98572,f231(x98571,x98573)))),f2(a1)))
% 192.24/192.21 [9977]P55(x99771,x99772,x99773)+~P1(f329(f329(f240(a1),f329(f329(f74(f916(a1,a1),a1,x99771,f256(a1,a1)),f216(x99771)),f234(x99771,x99772,f231(x99771,x99773)))),f2(a1)))
% 192.24/192.21 [9978]P56(x99781,x99782,x99783)+~P1(f329(f329(f239(a1),f329(f329(f74(f916(a1,a1),a1,x99781,f256(a1,a1)),f216(x99781)),f234(x99781,x99782,f231(x99781,x99783)))),f2(a1)))
% 192.24/192.21 [10309]~P120(x103091)+~P1(f329(f329(f240(x103091),f329(f329(f82(x103091),f329(f329(f249(x103091),x103092),f329(f108(a909),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(x103091),x103093),f329(f108(a909),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(x103091)))
% 192.24/192.21 [4838]~E(x48383,f118(x48381))+E(f329(f329(f137(x48381),x48382),x48383),x48382)
% 192.24/192.21 [4839]~E(x48392,f118(x48391))+E(f329(f329(f137(x48391),x48392),x48393),x48393)
% 192.24/192.21 [4845]~E(x48452,f2(a909))+E(f329(f329(f178(x48451),x48452),x48453),f118(x48451))
% 192.24/192.21 [4854]~E(x48543,f118(x48541))+E(f329(f329(f178(x48541),x48542),x48543),f118(x48541))
% 192.24/192.21 [4893]~E(x48931,x48933)+E(x48931,f329(f329(f137(x48932),f118(x48932)),x48933))
% 192.24/192.21 [4984]~P105(x49842)+E(f329(f191(f917(x49841,x49842)),x49843),f191(x49842))
% 192.24/192.21 [4985]~P115(x49852)+E(f329(f247(f917(x49851,x49852)),x49853),f247(x49852))
% 192.24/192.21 [5003]E(x50031,f118(x50032))+~E(f329(f329(f137(x50032),x50033),x50031),x50033)
% 192.24/192.21 [5004]E(x50041,f118(x50042))+~E(f329(f329(f137(x50042),x50041),x50043),x50043)
% 192.24/192.21 [5012]E(x50121,f118(x50122))+~E(f329(f329(f137(x50122),x50123),x50121),f118(x50122))
% 192.24/192.21 [5013]E(x50131,f118(x50132))+~E(f329(f329(f137(x50132),x50131),x50133),f118(x50132))
% 192.24/192.21 [5038]~E(x50382,f2(a909))+E(f329(f329(f83(a909),x50381),x50382),f329(f329(f83(a909),x50383),x50382))
% 192.24/192.21 [5040]~E(x50401,f2(a909))+E(f329(f329(f83(a909),x50401),x50402),f329(f329(f83(a909),x50401),x50403))
% 192.24/192.21 [5098]~P2(x50981)+E(f329(f329(f115(x50981),x50982),x50983),f329(f329(f115(x50981),x50983),x50982))
% 192.24/192.21 [5100]~P103(x51001)+E(f329(f329(f115(x51001),x51002),x51003),f329(f329(f115(x51001),x51003),x51002))
% 192.24/192.21 [5101]~P116(x51011)+E(f329(f329(f82(x51011),x51012),x51013),f329(f329(f82(x51011),x51013),x51012))
% 192.24/192.21 [5102]~P2(x51021)+E(f329(f329(f106(x51021),x51022),x51023),f329(f329(f106(x51021),x51023),x51022))
% 192.24/192.21 [5104]~P104(x51041)+E(f329(f329(f106(x51041),x51042),x51043),f329(f329(f106(x51041),x51043),x51042))
% 192.24/192.21 [5105]~P116(x51051)+E(f329(f329(f83(x51051),x51052),x51053),f329(f329(f83(x51051),x51053),x51052))
% 192.24/192.21 [5107]~P112(x51071)+E(f329(f329(f237(x51071),x51072),x51073),f329(f329(f237(x51071),x51073),x51072))
% 192.24/192.21 [5109]~P112(x51091)+E(f329(f329(f238(x51091),x51092),x51093),f329(f329(f238(x51091),x51093),x51092))
% 192.24/192.21 [5170]E(f46(a909,x51701,x51702),f2(a909))+~E(x51701,f329(f329(f83(a909),x51702),x51703))
% 192.24/192.21 [5171]E(f46(a1,x51711,x51712),f2(a1))+~E(x51711,f329(f329(f83(a1),x51712),x51713))
% 192.24/192.21 [5238]E(x52381,x52382)+~E(f329(f329(f82(a909),x52383),x52381),f329(f329(f82(a909),x52383),x52382))
% 192.24/192.21 [5239]E(x52391,x52392)+~E(f329(f329(f82(a909),x52391),x52393),f329(f329(f82(a909),x52392),x52393))
% 192.24/192.21 [5251]~P74(x52511)+E(f329(f329(f82(x52511),x52512),f329(f81(x52511),x52513)),f329(f329(f23(x52511),x52512),x52513))
% 192.24/192.21 [5252]~P79(x52521)+E(f329(f329(f82(x52521),x52522),f329(f81(x52521),x52523)),f329(f329(f23(x52521),x52522),x52523))
% 192.24/192.21 [5253]~P119(x52531)+E(f329(f329(f82(x52531),x52532),f329(f81(x52531),x52533)),f329(f329(f23(x52531),x52532),x52533))
% 192.24/192.21 [5254]~P98(x52541)+E(f329(f329(f106(x52541),x52542),f329(f81(x52541),x52543)),f329(f329(f23(x52541),x52542),x52543))
% 192.24/192.21 [5255]~P79(x52551)+E(f329(f329(f23(x52551),x52552),f329(f81(x52551),x52553)),f329(f329(f82(x52551),x52552),x52553))
% 192.24/192.21 [5294]~P1(f329(x52943,x52942))+P1(f329(f329(f331(x52941),x52942),x52943))
% 192.24/192.21 [5296]~P77(x52962)+E(f329(f329(f6(x52961,x52962),x52963),f191(f917(x52961,a904))),f2(x52962))
% 192.24/192.21 [5298]~P80(x52982)+E(f329(f329(f9(x52981,x52982),x52983),f191(f917(x52981,a904))),f80(x52982))
% 192.24/192.21 [5349]~E(x53492,f329(f329(f82(a909),x53491),x53493))+P1(f329(f329(f239(a909),x53491),x53492))
% 192.24/192.21 [5352]~E(x53522,f191(f917(x53521,a904)))+E(f329(f329(f61(x53521),x53522),x53523),f191(f917(f917(x53521,a904),a904)))
% 192.24/192.21 [5353]~E(x53532,f191(f917(x53531,a904)))+E(f191(f917(f917(x53531,a904),a904)),f329(f329(f61(x53531),x53532),x53533))
% 192.24/192.21 [5426]~E(f329(f287(x54262,x54263),x54261),f191(f917(x54263,a904)))+E(x54261,f191(f917(f916(x54262,x54263),a904)))
% 192.24/192.21 [5427]~E(f329(f269(x54272,x54273),x54271),f191(f917(x54272,a904)))+E(x54271,f191(f917(f916(x54272,x54273),a904)))
% 192.24/192.21 [5459]E(f329(f287(x54591,x54592),x54593),f191(f917(x54592,a904)))+~E(x54593,f191(f917(f916(x54591,x54592),a904)))
% 192.24/192.21 [5460]E(f329(f269(x54601,x54602),x54603),f191(f917(x54601,a904)))+~E(x54603,f191(f917(f916(x54601,x54602),a904)))
% 192.24/192.21 [5463]E(f277(x54631,x54632,x54633),f329(f329(f23(a104),x54632),x54633))+P1(f329(f329(f240(a104),x54632),x54633))
% 192.24/192.21 [5478]P1(f329(x54781,x54782))+~P1(f329(f329(f331(x54783),x54782),x54781))
% 192.24/192.21 [5516]E(x55161,x55162)+~E(f329(f81(f917(x55163,a904)),x55161),f329(f81(f917(x55163,a904)),x55162))
% 192.24/192.21 [5525]~E(x55251,f191(f917(x55252,a904)))+~P1(f329(f329(f331(x55252),x55253),x55251))
% 192.24/192.21 [5555]~E(x55552,f329(f329(f82(a1),x55551),f329(f105(a1),x55553)))+P1(f329(f329(f239(a1),x55551),x55552))
% 192.24/192.21 [5569]E(f329(f329(f311(x55691),x55692),x55693),x55693)+~P1(f329(f329(f331(x55691),x55692),x55693))
% 192.24/192.21 [5580]E(x55801,f191(f917(x55802,a904)))+~E(f329(f329(f61(x55802),x55801),x55803),f191(f917(f917(x55802,a904),a904)))
% 192.24/192.21 [5581]E(x55811,f191(f917(x55812,a904)))+~E(f191(f917(f917(x55812,a904),a904)),f329(f329(f61(x55812),x55811),x55813))
% 192.24/192.21 [5588]~P130(x55881)+E(f329(f329(f83(x55881),f329(f81(x55881),x55882)),f329(f81(x55881),x55883)),f329(f329(f83(x55881),x55882),x55883))
% 192.24/192.21 [5589]~P70(x55891)+E(f329(f329(f292(x55891),f329(f81(x55891),x55892)),f329(f81(x55891),x55893)),f329(f329(f292(x55891),x55892),x55893))
% 192.24/192.21 [5621]~P1(f329(x56213,x56212))+P1(f329(f329(f331(x56211),x56212),f329(f267(x56211),x56213)))
% 192.24/192.21 [5646]E(x56461,f2(a909))+E(f329(f175(x56462),f172(x56462,x56461,x56463)),f329(f329(f311(x56462),x56463),f191(f917(x56462,a904))))
% 192.24/192.21 [5665]E(f173(x56651,x56652,x56653),x56653)+P1(f329(f329(f331(x56651),x56652),f329(f175(x56651),x56653)))
% 192.24/192.21 [5749]~P1(f329(f140(x57491),x57493))+P1(f329(f140(x57491),f329(f139(x57491,x57492),x57493)))
% 192.24/192.21 [5794]~P9(x57941)+E(f329(f329(f37(x57941),f46(x57941,x57942,x57943)),x57943),f2(x57941))
% 192.24/192.21 [5813]E(f179(x58131,f329(f329(f154(x58131),x58132),f118(x58131)),x58133),f118(x58131))+P1(f329(f329(f331(a909),f2(a909)),x58133))
% 192.24/192.21 [5819]E(x58191,f2(a909))+E(f329(f174(x58192),f172(x58192,x58191,x58193)),f172(x58192,f329(f329(f23(a909),x58191),f80(a909)),x58193))
% 192.24/192.21 [5869]E(f329(f329(f154(x58691),x58692),x58693),f143(x58691,x58692,x58693))+P1(f329(f329(f331(x58691),x58692),f329(f175(x58691),x58693)))
% 192.24/192.21 [5878]E(x58781,x58782)+~E(f329(f329(f83(a909),f329(a117,x58783)),x58781),f329(f329(f83(a909),f329(a117,x58783)),x58782))
% 192.24/192.21 [5879]~E(x58792,f329(f329(f82(a1),x58791),f329(f105(a1),f329(a117,x58793))))+P1(f329(f329(f240(a1),x58791),x58792))
% 192.24/192.21 [5992]~E(x59923,f118(x59921))+E(f329(f329(f329(f186(f910(x59921),f910(x59921)),x59922),f170(x59921)),x59923),f118(x59921))
% 192.24/192.21 [5996]P1(f329(x59961,x59962))+~P1(f329(f329(f331(x59963),x59962),f329(f267(x59963),x59961)))
% 192.24/192.21 [6026]E(x60261,x60262)+~E(f329(f329(f311(x60263),x60261),f191(f917(x60263,a904))),f329(f329(f311(x60263),x60262),f191(f917(x60263,a904))))
% 192.24/192.21 [6040]~P113(x60401)+E(f329(f329(f106(f917(x60401,a904)),f329(f285(x60401),x60402)),f329(f304(x60401,x60402),x60403)),f191(f917(x60401,a904)))
% 192.24/192.21 [6080]E(f143(x60801,x60802,x60803),x60803)+~P1(f329(f329(f331(x60801),x60802),f329(f175(x60801),x60803)))
% 192.24/192.21 [6105]~P87(x61051)+E(f329(f312(x61051,x61051,f81(x61051)),f329(f304(x61051,x61052),x61053)),f307(x61051,f329(f81(x61051),x61053),f329(f81(x61051),x61052)))
% 192.24/192.21 [6116]E(f329(f192(f910(x61161)),f173(x61161,x61162,x61163)),f329(f192(f910(x61161)),x61163))+P1(f329(f329(f331(x61161),x61162),f329(f175(x61161),x61163)))
% 192.24/192.21 [6170]~P113(x61701)+E(f329(f329(f106(f917(x61701,a904)),f329(f304(x61701,x61702),x61703)),f329(f286(x61701),x61703)),f191(f917(x61701,a904)))
% 192.24/192.21 [6190]~P87(x61901)+E(f329(f312(x61901,x61901,f81(x61901)),f308(x61901,x61902,x61903)),f308(x61901,f329(f81(x61901),x61903),f329(f81(x61901),x61902)))
% 192.24/192.21 [6191]~P87(x61911)+E(f329(f312(x61911,x61911,f81(x61911)),f305(x61911,x61912,x61913)),f305(x61911,f329(f81(x61911),x61913),f329(f81(x61911),x61912)))
% 192.24/192.21 [6256]E(f179(x62561,f329(f329(f154(x62561),x62562),f118(x62561)),x62563),f329(f329(f154(x62561),x62562),f118(x62561)))+~P1(f329(f329(f331(a909),f2(a909)),x62563))
% 192.24/192.21 [6263]~P87(x62631)+E(f329(f312(x62631,x62631,f81(x62631)),f307(x62631,x62632,x62633)),f329(f304(x62631,f329(f81(x62631),x62633)),f329(f81(x62631),x62632)))
% 192.24/192.21 [6283]~P10(x62831)+E(f46(x62831,f329(f81(x62831),f46(x62831,x62832,x62833)),x62833),f46(x62831,f329(f81(x62831),x62832),x62833))
% 192.24/192.21 [6378]~P1(f329(f62(f916(x63782,x63781)),x63783))+P1(f329(f62(x63781),f329(f287(x63782,x63781),x63783)))
% 192.24/192.21 [6379]~P1(f329(f62(f916(x63791,x63792)),x63793))+P1(f329(f62(x63791),f329(f269(x63791,x63792),x63793)))
% 192.24/192.21 [6384]~P113(x63841)+E(f329(f329(f106(f917(x63841,a904)),f308(x63841,x63842,x63843)),f329(f286(x63841),x63843)),f191(f917(x63841,a904)))
% 192.24/192.21 [6385]~P113(x63851)+E(f329(f329(f106(f917(x63851,a904)),f307(x63851,x63852,x63853)),f329(f306(x63851),x63853)),f191(f917(x63851,a904)))
% 192.24/192.21 [6386]~P113(x63861)+E(f329(f329(f106(f917(x63861,a904)),f305(x63861,x63862,x63863)),f329(f306(x63861),x63863)),f191(f917(x63861,a904)))
% 192.24/192.21 [6455]E(f329(f329(f167(x64551),x64552),f658(x64552,x64553,x64551)),x64553)+~P1(f329(f329(f331(x64551),x64553),f329(f175(x64551),x64552)))
% 192.24/192.21 [6598]E(x65981,f118(x65982))+~E(f329(f329(f329(f186(f910(x65982),f910(x65982)),x65983),f170(x65982)),x65981),f118(x65982))
% 192.24/192.21 [6675]P49(x66751,x66752,f511(x66753,x66752,x66751),x66753)+~P1(f329(f329(f197(x66751),x66752),x66753))
% 192.24/192.21 [6705]~P1(f329(f62(f916(x67052,x67051)),x67053))+P1(f329(f62(f916(x67051,x67052)),f329(f289(x67052,x67051),x67053)))
% 192.24/192.21 [6854]P64(x68541,x68542,x68543)+P1(f329(f329(f331(x68541),f586(x68543,x68542,x68541)),x68542))
% 192.24/192.21 [6855]P64(x68551,x68552,x68553)+P1(f329(f329(f331(x68551),f585(x68553,x68552,x68551)),x68552))
% 192.24/192.21 [6866]P1(f329(f317(x68661,x68662),x68663))+P1(f329(f329(x68662,f476(x68663,x68662,x68661)),x68663))
% 192.24/192.21 [6867]P1(f329(f317(x68671,x68672),x68673))+P1(f329(f329(x68672,f496(x68673,x68672,x68671)),x68673))
% 192.24/192.21 [6898]E(f329(f192(f910(x68981)),f173(x68981,x68982,x68983)),f329(f329(f23(a909),f329(f192(f910(x68981)),x68983)),f80(a909)))+~P1(f329(f329(f331(x68981),x68982),f329(f175(x68981),x68983)))
% 192.24/192.21 [6937]P1(f329(f253(x69371,x69372),x69373))+P1(f329(f329(f331(x69371),f560(x69373,x69372,x69371)),x69373))
% 192.24/192.21 [6946]~P1(f329(f62(f916(x69462,x69461)),f329(f289(x69461,x69462),x69463)))+P1(f329(f62(f916(x69461,x69462)),x69463))
% 192.24/192.21 [7001]~P1(f329(f329(f331(x70011),x70012),f329(f175(x70011),f119(x70011,x70013))))+P1(f329(f329(f331(x70011),x70012),f329(f175(x70011),x70013)))
% 192.24/192.21 [7006]P35(x70061,x70062,x70063)+P1(f329(f329(f331(f908(x70061)),f574(x70063,x70062,x70061)),x70063))
% 192.24/192.21 [7037]E(f329(f139(x70371,x70372),x70373),x70373)+P1(f329(f329(f331(x70371),f701(x70373,x70372,x70371)),f329(f175(x70371),x70373)))
% 192.24/192.21 [7051]E(f329(f139(x70511,x70512),x70513),f118(x70511))+P1(f329(f329(f331(x70511),f700(x70513,x70512,x70511)),f329(f175(x70511),x70513)))
% 192.24/192.21 [7075]P38(x70751,x70752,x70753)+P1(f329(f329(f331(x70751),f781(x70753,x70752,x70751)),f329(f175(x70751),x70753)))
% 192.24/192.21 [7076]P38(x70761,x70762,x70763)+P1(f329(f329(f331(x70761),f791(x70763,x70762,x70761)),f329(f175(x70761),x70763)))
% 192.24/192.21 [7077]P38(x70771,x70772,x70773)+P1(f329(f329(f331(x70771),f790(x70772,x70773,x70771)),f329(f175(x70771),x70773)))
% 192.24/192.21 [7080]E(f180(x70801,x70802,x70803),x70803)+P1(f329(f329(f331(x70801),f740(x70803,x70802,x70801)),f329(f175(x70801),x70803)))
% 192.24/192.21 [7155]P1(f329(f163(x71551,x71552),x71553))+P1(f329(f329(f331(x71551),f702(x71553,x71552,x71551)),f329(f175(x71551),x71553)))
% 192.24/192.21 [7164]~P40(x71641,x71643,x71642)+P1(f329(f329(f331(x71641),f773(x71642,x71643,x71641)),f329(f175(x71641),x71642)))
% 192.24/192.21 [7165]~P42(x71651,x71653,x71652)+P1(f329(f329(f331(x71651),f780(x71652,x71653,x71651)),f329(f175(x71651),x71652)))
% 192.24/192.21 [7166]~P42(x71661,x71663,x71662)+P1(f329(f329(f331(x71661),f793(x71662,x71663,x71661)),f329(f175(x71661),x71662)))
% 192.24/192.21 [7167]~P40(x71671,x71673,x71672)+P1(f329(f329(f331(x71671),f821(x71672,x71673,x71671)),f329(f175(x71671),x71672)))
% 192.24/192.21 [7168]~P40(x71681,x71682,x71683)+P1(f329(f329(f331(x71681),f822(x71682,x71683,x71681)),f329(f175(x71681),x71683)))
% 192.24/192.21 [7202]P1(f329(f329(f331(x72021),x72022),f660(x72023,x72022,x72021)))+~P1(f329(f329(f331(x72021),x72022),f38(f917(x72021,a904),x72023)))
% 192.24/192.21 [7203]~P77(x72031)+E(f329(f329(f82(x72031),f329(f329(f6(a909,x72031),x72032),f329(f285(a909),x72033))),f329(x72032,x72033)),f329(f329(f6(a909,x72031),x72032),f329(f285(a909),f329(a117,x72033))))
% 192.24/192.21 [7292]~P40(x72922,x72921,x72923)+P1(f329(x72921,f329(f329(f167(x72922),x72923),f776(x72923,x72921,x72922))))
% 192.24/192.21 [7305]~P1(f329(f329(f331(x73051),x73052),f646(x73052,x73053,x73051)))+P1(f329(f329(f331(x73051),x73052),f39(f917(x73051,a904),x73053)))
% 192.24/192.21 [7338]~P77(x73381)+E(f329(f329(f82(x73381),f329(f329(f6(a909,x73381),x73382),f329(f303(a909),x73383))),f329(x73382,f329(a117,x73383))),f329(f329(f6(a909,x73381),x73382),f329(f303(a909),f329(a117,x73383))))
% 192.24/192.21 [7485]P1(f329(f329(f331(f910(x74851)),x74852),f164(x74851,x74853)))+P1(f329(f329(f331(x74851),f683(x74853,x74852,x74851)),f329(f175(x74851),x74852)))
% 192.24/192.21 [7499]~P1(f329(f329(f331(f910(x74991)),x74992),f164(x74991,f318(x74991,x74993))))+P1(f329(f329(f331(f910(x74991)),x74992),f318(f910(x74991),f160(x74991,x74993))))
% 192.24/192.21 [7527]~P1(f329(f329(f331(f910(x75271)),x75272),f318(f910(x75271),f160(x75271,x75273))))+P1(f329(f329(f331(f910(x75271)),x75272),f164(x75271,f318(x75271,x75273))))
% 192.24/192.21 [7564]E(f329(f329(f329(f186(f910(x75641),f910(x75641)),x75642),f170(x75641)),x75643),x75643)+~P1(f329(f329(f239(a909),f329(f192(f910(x75641)),x75643)),f80(a909)))
% 192.24/192.21 [7598]E(f329(f329(f137(x75981),f784(x75982,x75983,x75981)),f329(f329(f154(x75981),x75983),f786(x75982,x75983,x75981))),x75982)+~P1(f329(f329(f331(x75981),x75983),f329(f175(x75981),x75982)))
% 192.24/192.21 [7599]E(f329(f329(f137(x75991),f777(x75992,x75993,x75991)),f329(f329(f154(x75991),x75993),f778(x75992,x75993,x75991))),x75992)+~P1(f329(f329(f331(x75991),x75993),f329(f175(x75991),x75992)))
% 192.24/192.21 [7600]E(f329(f329(f137(x76001),f787(x76002,x76003,x76001)),f329(f329(f154(x76001),x76003),f788(x76002,x76003,x76001))),x76002)+~P1(f329(f329(f331(x76001),x76003),f329(f175(x76001),x76002)))
% 192.24/192.21 [7622]~P31(x76221,x76222,x76223,f247(f917(x76221,a904)))+P31(f910(x76221),f910(x76222),f329(f157(x76221,x76222),x76223),f247(f917(f910(x76221),a904)))
% 192.24/192.21 [7769]E(x77691,f329(f329(f82(a909),f329(f329(f83(a909),f329(f256(a909,a909),x77692)),x77693)),f329(f261(a909,a909),x77692)))+~P1(f329(f49(x77691,x77693),x77692))
% 192.24/192.21 [7777]P31(x77771,x77772,x77773,f247(f917(x77771,a904)))+~P31(f910(x77771),f910(x77772),f329(f157(x77771,x77772),x77773),f247(f917(f910(x77771),a904)))
% 192.24/192.21 [7821]P1(f329(f329(f331(f917(x78211,a904)),f646(x78212,x78213,x78211)),x78213))+P1(f329(f329(f331(x78211),x78212),f39(f917(x78211,a904),x78213)))
% 192.24/192.21 [7914]P1(f329(f329(f331(f910(x79141)),x79142),f164(x79141,x79143)))+~P1(f329(f329(f331(x79141),f683(x79143,x79142,x79141)),x79143))
% 192.24/192.21 [8021]P38(x80211,x80212,x80213)+~P1(f329(x80212,f329(f329(f167(x80211),x80213),f783(x80213,x80212,x80211))))
% 192.24/192.21 [8045]E(x80451,x80452)+~E(f329(f329(f7(x80453,f917(x80453,a904),a904),f331(x80453)),x80451),f329(f329(f7(x80453,f917(x80453,a904),a904),f331(x80453)),x80452))
% 192.24/192.21 [8053]~P1(f329(f329(f331(f916(x80531,x80531)),x80533),f268(x80531,x80532)))+P1(f329(f329(f331(x80531),f512(x80532,x80533,x80531)),x80532))
% 192.24/192.21 [8055]~P1(f329(f329(f331(x80551),x80553),f38(f917(x80551,a904),x80552)))+P1(f329(f329(f331(f917(x80551,a904)),f660(x80552,x80553,x80551)),x80552))
% 192.24/192.21 [8185]P31(x81851,x81852,f94(x81852,x81851,f247(f917(x81852,a904)),x81853),f247(f917(x81851,a904)))+~E(f329(f312(x81852,x81851,x81853),f247(f917(x81852,a904))),f247(f917(x81851,a904)))
% 192.24/192.21 [8242]~P1(f329(f329(f331(x82421),x82422),f329(f175(x82421),f777(x82423,x82422,x82421))))+~P1(f329(f329(f331(x82421),x82422),f329(f175(x82421),x82423)))
% 192.24/192.21 [8243]~P1(f329(f329(f331(x82431),x82432),f329(f175(x82431),f788(x82433,x82432,x82431))))+~P1(f329(f329(f331(x82431),x82432),f329(f175(x82431),x82433)))
% 192.24/192.21 [8431]E(x84311,f118(x84312))+P1(f329(f329(f331(x84312),f329(f256(x84312,f916(a104,a104)),f329(f278(x84312,x84311),x84313))),f329(f175(x84312),x84311)))
% 192.24/192.21 [8527]~P7(x85271)+E(f329(f145(x85271,x85271,f329(f7(x85271,x85271,x85271),f82(x85271)),x85272),f329(f171(x85271),x85273)),f329(f145(x85271,x85271,f82(x85271),x85272),x85273))
% 192.24/192.21 [8732]~P31(x87322,x87321,x87323,f247(f917(x87322,a904)))+E(f329(f312(x87321,x87322,f94(x87322,x87321,f247(f917(x87322,a904)),x87323)),f247(f917(x87321,a904))),f247(f917(x87322,a904)))
% 192.24/192.21 [9032]~P112(x90321)+E(f329(f175(x90321),f152(x90321,x90321,f5(x90321),x90322,x90323)),f329(f329(f311(x90321),x90322),f329(f175(x90321),x90323)))
% 192.24/192.21 [9043]~E(f329(x90433,f329(f94(x90431,x90432,f247(f917(x90431,a904)),x90433),f836(x90433,x90432,x90431))),f836(x90433,x90432,x90431))+E(f329(f312(x90431,x90432,x90433),f247(f917(x90431,a904))),f247(f917(x90432,a904)))
% 192.24/192.21 [9045]P1(f329(f329(f240(a909),f2(a909)),f603(x90451,x90452,x90453)))+~P1(f329(f329(f331(f916(x90453,x90453)),x90452),f329(f329(f291(x90453,x90453,x90453),x90451),f309(x90453,x90451))))
% 192.24/192.21 [9336]~P66(x93361,x93362)+~P1(f329(f329(f331(f916(x93361,x93361)),f329(f329(f257(x93361,x93361),x93363),x93363)),f329(f329(f291(x93361,x93361,x93361),x93362),f309(x93361,x93362))))
% 192.24/192.21 [9466]~E(f329(f329(f106(f917(f916(x94661,x94661),a904)),f329(f289(x94661,x94661),x94662)),f309(x94661,x94662)),f191(f917(f916(x94661,x94661),a904)))+~P1(f329(f329(f331(f916(x94661,x94661)),f329(f329(f257(x94661,x94661),x94663),x94663)),f329(f329(f291(x94661,x94661,x94661),x94662),f309(x94661,x94662))))
% 192.24/192.21 [9648]~P1(f329(f62(x96481),x96482))+P1(f329(f329(f239(a909),f329(f36(x96481),f329(f329(f23(f917(x96481,a904)),x96482),f329(f329(f311(x96481),x96483),f191(f917(x96481,a904)))))),f329(f36(x96481),x96482)))
% 192.24/192.21 [5159]~E(x51593,f118(x51591))+E(f147(x51591,f329(f329(f154(x51591),x51592),x51593)),x51592)
% 192.24/192.21 [5167]~E(x51673,f118(x51671))+E(f119(x51671,f329(f329(f154(x51671),x51672),x51673)),f118(x51671))
% 192.24/192.21 [5199]E(x51991,f118(x51992))+E(f147(x51992,f329(f329(f154(x51992),x51993),x51991)),f147(x51992,x51991))
% 192.24/192.21 [5201]E(x52011,f118(x52012))+E(f147(x52012,f329(f329(f137(x52012),x52013),x52011)),f147(x52012,x52011))
% 192.24/192.21 [5208]~E(x52083,f118(x52081))+E(f119(x52081,f329(f329(f137(x52081),x52082),x52083)),f119(x52081,x52082))
% 192.24/192.21 [5210]~E(x52103,f118(x52101))+E(f147(x52101,f329(f329(f137(x52101),x52102),x52103)),f147(x52101,x52102))
% 192.24/192.21 [5245]E(x52451,f118(x52452))+E(f329(f144(x52452),f329(f329(f137(x52452),x52451),x52453)),f329(f144(x52452),x52451))
% 192.24/192.21 [5274]~E(x52742,f118(x52741))+E(f329(f144(x52741),f329(f329(f137(x52741),x52742),x52743)),f329(f144(x52741),x52743))
% 192.24/192.21 [5325]~P2(x53251)+E(f329(f329(f115(x53251),x53252),f329(f329(f106(x53251),x53252),x53253)),x53252)
% 192.24/192.21 [5326]~P2(x53261)+E(f329(f329(f106(x53261),x53262),f329(f329(f115(x53261),x53262),x53263)),x53262)
% 192.24/192.21 [5327]~P112(x53271)+E(f329(f329(f237(x53271),x53272),f329(f329(f238(x53271),x53272),x53273)),x53272)
% 192.24/192.21 [5328]~P112(x53281)+E(f329(f329(f238(x53281),x53282),f329(f329(f237(x53281),x53282),x53283)),x53282)
% 192.24/192.21 [5347]~P9(x53471)+E(f46(x53471,f329(f329(f83(x53471),x53472),x53473),x53473),f2(x53471))
% 192.24/192.21 [5348]~P9(x53481)+E(f46(x53481,f329(f329(f83(x53481),x53482),x53483),x53482),f2(x53481))
% 192.24/192.21 [5421]~P74(x54211)+E(f329(f81(x54211),f329(f329(f23(x54211),x54212),x54213)),f329(f329(f23(x54211),x54213),x54212))
% 192.24/192.21 [5482]E(x54821,f118(x54822))+E(f119(x54822,f329(f329(f154(x54822),x54823),x54821)),f329(f329(f154(x54822),x54823),f119(x54822,x54821)))
% 192.24/192.21 [5483]E(x54831,f118(x54832))+E(f119(x54832,f329(f329(f137(x54832),x54833),x54831)),f329(f329(f137(x54832),x54833),f119(x54832,x54831)))
% 192.24/192.21 [5486]~P11(x54861)+E(f39(x54861,f329(f329(f311(x54861),x54862),x54863)),f329(f329(f106(x54861),x54862),f39(x54861,x54863)))
% 192.24/192.21 [5487]~P11(x54871)+E(f38(x54871,f329(f329(f311(x54871),x54872),x54873)),f329(f329(f115(x54871),x54872),f38(x54871,x54873)))
% 192.24/192.21 [5530]~P2(x55301)+E(f329(f329(f115(x55301),x55302),f329(f329(f115(x55301),x55302),x55303)),f329(f329(f115(x55301),x55302),x55303))
% 192.24/192.21 [5532]~P103(x55321)+E(f329(f329(f115(x55321),x55322),f329(f329(f115(x55321),x55322),x55323)),f329(f329(f115(x55321),x55322),x55323))
% 192.24/192.21 [5533]~P2(x55331)+E(f329(f329(f106(x55331),x55332),f329(f329(f106(x55331),x55332),x55333)),f329(f329(f106(x55331),x55332),x55333))
% 192.24/192.21 [5535]~P104(x55351)+E(f329(f329(f106(x55351),x55352),f329(f329(f106(x55351),x55352),x55353)),f329(f329(f106(x55351),x55352),x55353))
% 192.24/192.21 [5536]~P99(x55361)+E(f329(f329(f83(x55361),x55362),f329(f329(f83(x55361),x55362),x55363)),f329(f329(f83(x55361),x55362),x55363))
% 192.24/192.21 [5538]~P112(x55381)+E(f329(f329(f237(x55381),x55382),f329(f329(f237(x55381),x55382),x55383)),f329(f329(f237(x55381),x55382),x55383))
% 192.24/192.21 [5540]~P112(x55401)+E(f329(f329(f238(x55401),x55402),f329(f329(f238(x55401),x55402),x55403)),f329(f329(f238(x55401),x55402),x55403))
% 192.24/192.21 [5547]~P9(x55471)+E(f46(x55471,f329(f329(f82(x55471),x55472),x55473),x55473),f46(x55471,x55472,x55473))
% 192.24/192.21 [5548]~P9(x55481)+E(f46(x55481,f329(f329(f82(x55481),x55482),x55483),x55482),f46(x55481,x55483,x55482))
% 192.24/192.21 [5556]~P130(x55561)+E(f329(f329(f83(x55561),x55562),f329(f81(x55561),x55563)),f329(f81(x55561),f329(f329(f83(x55561),x55562),x55563)))
% 192.24/192.21 [5557]~P70(x55571)+E(f329(f329(f292(x55571),x55572),f329(f81(x55571),x55573)),f329(f81(x55571),f329(f329(f292(x55571),x55572),x55573)))
% 192.24/192.21 [5558]~P4(x55581)+E(f329(f329(f82(x55581),x55582),f329(f168(x55581),x55583)),f329(f168(x55581),f329(f329(f154(x55581),x55582),x55583)))
% 192.24/192.21 [5586]~P130(x55861)+E(f329(f329(f83(x55861),f329(f81(x55861),x55862)),x55863),f329(f329(f83(x55861),x55862),f329(f81(x55861),x55863)))
% 192.24/192.21 [5592]~P14(x55921,x55922,x55923)+E(f38(f917(x55921,a904),f329(f329(f61(x55921),x55922),x55923)),x55922)
% 192.24/192.21 [5657]~P118(x56571)+E(f329(f329(f83(x56571),x56572),f329(f329(f249(x56571),x56572),x56573)),f329(f329(f249(x56571),x56572),f329(a117,x56573)))
% 192.24/192.21 [5658]~P116(x56581)+E(f329(f329(f83(x56581),x56582),f329(f329(f249(x56581),x56582),x56583)),f329(f329(f249(x56581),x56582),f329(a117,x56583)))
% 192.24/192.21 [5668]~P79(x56681)+E(f329(f329(f82(x56681),f329(f81(x56681),x56682)),f329(f329(f82(x56681),x56682),x56683)),x56683)
% 192.24/192.21 [5691]~P109(x56911)+E(f329(f329(f249(x56911),f329(f105(x56911),x56912)),x56913),f329(f105(x56911),f329(f329(f249(a909),x56912),x56913)))
% 192.24/192.21 [5692]~P129(x56921)+E(f329(f329(f249(x56921),f329(f107(x56921),x56922)),x56923),f329(f107(x56921),f329(f329(f249(a1),x56922),x56923)))
% 192.24/192.21 [5698]~P89(x56981)+E(f329(f77(x56981),f329(f329(f23(x56981),x56982),x56983)),f329(f77(x56981),f329(f329(f23(x56981),x56983),x56982)))
% 192.24/192.21 [5700]~P120(x57001)+E(f329(f329(f83(x57001),f84(x57001,x57002)),f84(x57001,x57003)),f84(x57001,f329(f329(f83(x57001),x57002),x57003)))
% 192.24/192.21 [5704]E(x57041,f118(x57042))+E(f329(f329(f137(x57042),f329(f174(x57042),x57041)),x57043),f329(f174(x57042),f329(f329(f137(x57042),x57041),x57043)))
% 192.24/192.21 [5709]~E(x57092,f329(a117,f329(f329(f82(a909),x57091),x57093)))+P1(f329(f329(f240(a909),x57091),x57092))
% 192.24/192.21 [5710]~P120(x57101)+E(f329(f329(f249(x57101),f329(f77(x57101),x57102)),x57103),f329(f77(x57101),f329(f329(f249(x57101),x57102),x57103)))
% 192.24/192.21 [5711]~P130(x57111)+E(f329(f329(f83(x57111),f329(f81(x57111),x57112)),x57113),f329(f81(x57111),f329(f329(f83(x57111),x57112),x57113)))
% 192.24/192.21 [5712]~P123(x57121)+E(f329(f329(f292(x57121),f329(f81(x57121),x57122)),x57123),f329(f81(x57121),f329(f329(f292(x57121),x57122),x57123)))
% 192.24/192.21 [5812]E(f657(x58121,x58122,x58123),f695(x58121,x58122,x58123))+E(f329(f329(f106(f917(x58123,a904)),x58122),x58121),f191(f917(x58123,a904)))
% 192.24/192.21 [5827]~P77(x58272)+E(f329(f329(f6(x58271,x58272),f329(f16(x58272,x58271),f2(x58272))),x58273),f2(x58272))
% 192.24/192.21 [5828]~P80(x58282)+E(f329(f329(f9(x58281,x58282),f329(f16(x58282,x58281),f80(x58282))),x58283),f80(x58282))
% 192.24/192.21 [5830]~P109(x58301)+E(f329(f329(f82(x58301),f329(f105(x58301),x58302)),f329(f105(x58301),x58303)),f329(f105(x58301),f329(f329(f82(a909),x58302),x58303)))
% 192.24/192.21 [5831]~P109(x58311)+E(f329(f329(f83(x58311),f329(f105(x58311),x58312)),f329(f105(x58311),x58313)),f329(f105(x58311),f329(f329(f83(a909),x58312),x58313)))
% 192.24/192.21 [5832]~P129(x58321)+E(f329(f329(f82(x58321),f329(f107(x58321),x58322)),f329(f107(x58321),x58323)),f329(f107(x58321),f329(f329(f82(a1),x58322),x58323)))
% 192.24/192.21 [5833]~P129(x58331)+E(f329(f329(f23(x58331),f329(f107(x58331),x58332)),f329(f107(x58331),x58333)),f329(f107(x58331),f329(f329(f23(a1),x58332),x58333)))
% 192.24/192.21 [5834]~P129(x58341)+E(f329(f329(f83(x58341),f329(f107(x58341),x58342)),f329(f107(x58341),x58343)),f329(f107(x58341),f329(f329(f83(a1),x58342),x58343)))
% 192.24/192.21 [5836]~P96(x58361)+E(f329(f329(f23(x58361),f329(f108(x58361),x58362)),f329(f108(x58361),x58363)),f329(f108(x58361),f329(f329(f23(a1),x58362),x58363)))
% 192.24/192.21 [5838]~P96(x58381)+E(f329(f329(f82(x58381),f329(f108(x58381),x58382)),f329(f108(x58381),x58383)),f329(f108(x58381),f329(f329(f82(a1),x58382),x58383)))
% 192.24/192.21 [5839]~P96(x58391)+E(f329(f329(f83(x58391),f329(f108(x58391),x58392)),f329(f108(x58391),x58393)),f329(f108(x58391),f329(f329(f83(a1),x58392),x58393)))
% 192.24/192.21 [5886]~E(x58863,x58862)+P1(f329(f329(f239(f917(x58861,a904)),x58862),x58863))
% 192.24/192.21 [5892]~E(x58922,x58923)+P1(f329(f329(f239(f917(x58921,a904)),x58922),x58923))
% 192.24/192.21 [5897]~P120(x58971)+E(f329(f329(f83(x58971),f329(f77(x58971),x58972)),f329(f77(x58971),x58973)),f329(f77(x58971),f329(f329(f83(x58971),x58972),x58973)))
% 192.24/192.21 [5898]~P72(x58981)+E(f329(f329(f292(x58981),f329(f77(x58981),x58982)),f329(f77(x58981),x58983)),f329(f77(x58981),f329(f329(f292(x58981),x58982),x58983)))
% 192.24/192.21 [5899]~P98(x58991)+E(f329(f329(f106(x58991),f329(f81(x58991),x58992)),f329(f81(x58991),x58993)),f329(f81(x58991),f329(f329(f115(x58991),x58992),x58993)))
% 192.24/192.21 [5900]~P79(x59001)+E(f329(f329(f82(x59001),f329(f81(x59001),x59002)),f329(f81(x59001),x59003)),f329(f81(x59001),f329(f329(f82(x59001),x59003),x59002)))
% 192.24/192.21 [5901]~P74(x59011)+E(f329(f329(f82(x59011),f329(f81(x59011),x59012)),f329(f81(x59011),x59013)),f329(f81(x59011),f329(f329(f82(x59011),x59012),x59013)))
% 192.24/192.21 [5902]~P98(x59021)+E(f329(f329(f115(x59021),f329(f81(x59021),x59022)),f329(f81(x59021),x59023)),f329(f81(x59021),f329(f329(f106(x59021),x59022),x59023)))
% 192.24/192.21 [5903]~P78(x59031)+E(f329(f329(f238(x59031),f329(f81(x59031),x59032)),f329(f81(x59031),x59033)),f329(f81(x59031),f329(f329(f237(x59031),x59032),x59033)))
% 192.24/192.21 [5904]~P78(x59041)+E(f329(f329(f237(x59041),f329(f81(x59041),x59042)),f329(f81(x59041),x59043)),f329(f81(x59041),f329(f329(f238(x59041),x59042),x59043)))
% 192.24/192.21 [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)))
% 192.24/192.21 [5906]E(x59061,f191(f917(x59062,a904)))+~E(f329(f329(f115(f917(x59062,a904)),x59063),x59061),f191(f917(x59062,a904)))
% 192.24/192.21 [5907]E(x59071,f191(f917(x59072,a904)))+~E(f329(f329(f115(f917(x59072,a904)),x59071),x59073),f191(f917(x59072,a904)))
% 192.24/192.21 [5908]~P149(x59081,x59082,x59083)+P1(f329(x59081,f329(f329(f37(a1),x59082),x59083)))
% 192.24/192.21 [5966]~P1(f329(f62(x59661),x59663))+P1(f329(f62(x59661),f329(f329(f311(x59661),x59662),x59663)))
% 192.24/192.21 [5967]~P1(f329(f140(x59671),x59673))+P1(f329(f140(x59671),f329(f329(f178(x59671),x59672),x59673)))
% 192.24/192.21 [5968]~P1(f329(f140(x59681),x59683))+P1(f329(f140(x59681),f329(f329(f141(x59681),x59682),x59683)))
% 192.24/192.21 [5997]~P2(x59971)+P1(f329(f329(f239(x59971),x59972),f329(f329(f115(x59971),x59973),x59972)))
% 192.24/192.21 [5998]~P103(x59981)+P1(f329(f329(f239(x59981),x59982),f329(f329(f115(x59981),x59983),x59982)))
% 192.24/192.21 [5999]~P2(x59991)+P1(f329(f329(f239(x59991),x59992),f329(f329(f115(x59991),x59992),x59993)))
% 192.24/192.21 [6000]~P103(x60001)+P1(f329(f329(f239(x60001),x60002),f329(f329(f115(x60001),x60002),x60003)))
% 192.24/192.21 [6001]~P112(x60011)+P1(f329(f329(f239(x60011),x60012),f329(f329(f238(x60011),x60013),x60012)))
% 192.24/192.21 [6002]~P112(x60021)+P1(f329(f329(f239(x60021),x60022),f329(f329(f238(x60021),x60022),x60023)))
% 192.24/192.21 [6016]~E(x60161,f2(a909))+E(f329(f329(f37(a909),f329(f329(f83(a909),x60161),x60162)),f329(f329(f83(a909),x60161),x60163)),f2(a909))
% 192.24/192.21 [6083]P1(f329(x60831,x60832))+P1(f329(f329(f197(f31(x60831,x60833)),x60832),x60832))
% 192.24/192.21 [6099]~P96(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))))
% 192.24/192.21 [6157]E(x61571,f2(a909))+E(f329(f329(f37(a909),f329(f329(f83(a909),x61571),x61572)),f329(f329(f83(a909),x61571),x61573)),f329(f329(f37(a909),x61572),x61573))
% 192.24/192.21 [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)))
% 192.24/192.21 [6225]P149(x62251,x62252,x62253)+~P1(f329(x62251,f329(f329(f37(a1),x62252),x62253)))
% 192.24/192.21 [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))
% 192.24/192.21 [6303]E(f329(f329(f23(f917(x63031,a904)),x63032),x63033),x63032)+~E(f329(f329(f106(f917(x63031,a904)),x63032),x63033),f191(f917(x63031,a904)))
% 192.24/192.21 [6318]E(f155(x63181,f329(f329(f154(x63181),x63182),x63183)),f155(x63181,x63183))+~P1(f329(f329(f331(x63181),x63182),f329(f175(x63181),x63183)))
% 192.24/192.21 [6348]~P1(f329(f329(f240(a909),x63481),x63483))+P1(f329(f329(f240(a909),x63481),f329(f329(f82(a909),x63482),x63483)))
% 192.24/192.21 [6350]~P1(f329(f329(f240(a909),x63501),x63502))+P1(f329(f329(f240(a909),x63501),f329(f329(f82(a909),x63502),x63503)))
% 192.24/192.21 [6352]~P1(f329(f329(f239(a909),x63521),x63523))+P1(f329(f329(f239(a909),x63521),f329(f329(f82(a909),x63522),x63523)))
% 192.24/192.21 [6354]~P1(f329(f329(f239(a909),x63541),x63542))+P1(f329(f329(f239(a909),x63541),f329(f329(f82(a909),x63542),x63543)))
% 192.24/192.21 [6392]P1(f329(f62(x63921),x63922))+~P1(f329(f62(x63921),f329(f329(f311(x63921),x63923),x63922)))
% 192.24/192.21 [6393]P1(f329(f140(x63931),x63932))+~P1(f329(f140(x63931),f329(f329(f154(x63931),x63933),x63932)))
% 192.24/192.21 [6394]P1(f329(f140(x63941),x63942))+~P1(f329(f140(x63941),f329(f329(f137(x63941),x63943),x63942)))
% 192.24/192.21 [6395]P1(f329(f140(x63951),x63952))+~P1(f329(f140(x63951),f329(f329(f137(x63951),x63952),x63953)))
% 192.24/192.21 [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))
% 192.24/192.21 [6491]~E(x64911,x64912)+~P1(f329(f329(f240(f917(x64913,a904)),x64911),x64912))
% 192.24/192.21 [6538]P1(f329(f329(f331(x65381),x65382),x65383))+P1(f329(f329(f331(x65381),x65382),f329(f81(f917(x65381,a904)),x65383)))
% 192.24/192.21 [6544]E(f147(x65441,f329(f329(f141(x65441),x65442),x65443)),f147(x65441,x65443))+~P1(f329(f329(f240(a909),x65442),f329(f192(f910(x65441)),x65443)))
% 192.24/192.21 [6545]E(f329(f329(f178(x65451),x65452),f119(x65451,x65453)),f329(f329(f178(x65451),x65452),x65453))+~P1(f329(f329(f240(a909),x65452),f329(f192(f910(x65451)),x65453)))
% 192.24/192.21 [6600]E(f329(f329(f329(f186(f910(x66001),f910(x66001)),x66002),f170(x66001)),x66003),x66003)+~E(f46(a909,x66002,f329(f192(f910(x66001)),x66003)),f2(a909))
% 192.24/192.21 [6609]~P14(x66091,x66093,x66092)+E(f329(f329(f291(x66091,x66091,x66091),f329(f289(x66091,x66091),x66092)),x66092),x66092)
% 192.24/192.21 [6651]~E(f329(f329(f115(f917(x66511,a904)),x66512),x66513),x66513)+P1(f329(f329(f239(f917(x66511,a904)),x66512),x66513))
% 192.24/192.21 [6656]~P63(x66561,x66561,x66563)+P63(x66561,x66561,f329(f329(f186(f916(x66561,x66561),a904),x66562),x66563))
% 192.24/192.21 [6659]~P1(f329(f329(f331(x66591),x66593),f329(f175(x66591),x66592)))+P1(f329(f329(f240(a909),f2(a909)),f329(f192(f910(x66591)),x66592)))
% 192.24/192.21 [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)))
% 192.24/192.21 [6697]E(f329(f329(f37(a909),f329(f329(f83(a909),x66971),x66972)),f329(f329(f83(a909),x66971),x66973)),f329(f329(f37(a909),x66972),x66973))+~P1(f329(f329(f240(a909),f2(a909)),x66971))
% 192.24/192.21 [6835]~P1(f329(f62(x68351),x68353))+E(f329(f329(f65(x68351,f917(x68351,a904),f311(x68351)),x68352),x68353),f329(f329(f115(f917(x68351,a904)),x68353),x68352))
% 192.24/192.21 [6891]E(f329(f329(f115(f917(x68911,a904)),x68912),x68913),x68912)+~P1(f329(f329(f239(f917(x68911,a904)),x68913),x68912))
% 192.24/192.21 [6893]E(f329(f329(f115(f917(x68931,a904)),x68932),x68933),x68933)+~P1(f329(f329(f239(f917(x68931,a904)),x68932),x68933))
% 192.24/192.21 [6894]E(f329(f329(f106(f917(x68941,a904)),x68942),x68943),x68943)+~P1(f329(f329(f239(f917(x68941,a904)),x68943),x68942))
% 192.24/192.21 [6895]E(f329(f329(f106(f917(x68951,a904)),x68952),x68953),x68952)+~P1(f329(f329(f239(f917(x68951,a904)),x68952),x68953))
% 192.24/192.21 [6944]~P1(f329(f140(x69441),x69442))+E(f329(f329(f23(f917(x69441,a904)),f329(f175(x69441),x69442)),f329(f329(f311(x69441),x69443),f191(f917(x69441,a904)))),f329(f175(x69441),f173(x69441,x69443,x69442)))
% 192.24/192.21 [6996]P44(x69961,x69962)+~P44(x69961,f329(f329(f186(f916(x69961,x69961),a904),x69963),x69962))
% 192.24/192.21 [7063]P1(f329(f50(x70631,x70632),f329(a52,x70633)))+~P1(f329(f50(f329(f81(a1),x70631),f329(f81(a1),x70632)),x70633))
% 192.24/192.21 [7068]E(f329(f329(f23(f917(x70681,a904)),f329(f329(f311(x70681),x70682),x70683)),f329(f329(f311(x70681),x70682),f191(f917(x70681,a904)))),x70683)+P1(f329(f329(f331(x70681),x70682),x70683))
% 192.24/192.21 [7089]E(f329(f329(f106(f917(x70891,a904)),f329(f175(x70891),x70892)),f329(f175(x70891),x70893)),f191(f917(x70891,a904)))+~P1(f329(f140(x70891),f329(f329(f137(x70891),x70892),x70893)))
% 192.24/192.21 [7104]~P1(f329(f329(f331(x71041),x71042),f329(f175(x71041),x71043)))+~P1(f329(f140(x71041),f329(f329(f154(x71041),x71042),x71043)))
% 192.24/192.21 [7174]P38(x71741,x71742,x71743)+P1(f329(f329(f240(a909),f783(x71743,x71742,x71741)),f329(f192(f910(x71741)),x71743)))
% 192.24/192.21 [7184]E(f329(f329(f106(f917(x71841,a904)),x71842),x71843),f191(f917(x71841,a904)))+P1(f329(f329(f331(x71841),f657(x71843,x71842,x71841)),x71842))
% 192.24/192.21 [7185]E(f329(f329(f106(f917(x71851,a904)),x71852),x71853),f191(f917(x71851,a904)))+P1(f329(f329(f331(x71851),f695(x71853,x71852,x71851)),x71853))
% 192.24/192.21 [7188]E(f119(x71881,f329(f329(f178(x71881),x71882),x71883)),f329(f329(f178(x71881),f329(f329(f23(a909),x71882),f80(a909))),x71883))+~P1(f329(f329(f239(a909),x71882),f329(f192(f910(x71881)),x71883)))
% 192.24/192.21 [7247]~P40(x72473,x72472,x72471)+P1(f329(f329(f240(a909),f776(x72471,x72472,x72473)),f329(f192(f910(x72473)),x72471)))
% 192.24/192.21 [7265]P1(f329(f329(f240(a909),f2(a909)),x72651))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x72652),x72651)),f329(f329(f83(a909),x72653),x72651)))
% 192.24/192.21 [7266]P1(f329(f329(f240(a909),f2(a909)),x72661))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x72661),x72662)),f329(f329(f83(a909),x72661),x72663)))
% 192.24/192.21 [7269]~P1(f329(f329(f331(x72691),x72692),x72693))+~P1(f329(f329(f331(x72691),x72692),f329(f81(f917(x72691,a904)),x72693)))
% 192.24/192.21 [7275]~P1(f329(f329(f240(f917(x72751,a904)),x72752),x72753))+P1(f329(f329(f239(f917(x72751,a904)),x72752),x72753))
% 192.24/192.21 [7386]~P1(f329(f329(f240(a909),x73862),x73863))+P1(f329(f329(f240(a909),f329(f329(f82(a909),x73861),x73862)),f329(f329(f82(a909),x73861),x73863)))
% 192.24/192.21 [7387]~P1(f329(f329(f240(a909),x73871),x73873))+P1(f329(f329(f240(a909),f329(f329(f82(a909),x73871),x73872)),f329(f329(f82(a909),x73873),x73872)))
% 192.24/192.21 [7388]~P1(f329(f329(f240(a1),x73881),x73883))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x73881),x73882)),f329(f329(f82(a1),x73883),x73882)))
% 192.24/192.21 [7391]~P1(f329(f329(f239(a909),x73912),x73913))+P1(f329(f329(f239(a909),f329(f329(f82(a909),x73911),x73912)),f329(f329(f82(a909),x73911),x73913)))
% 192.24/192.21 [7392]~P1(f329(f329(f239(a909),x73921),x73923))+P1(f329(f329(f239(a909),f329(f329(f82(a909),x73921),x73922)),f329(f329(f82(a909),x73923),x73922)))
% 192.24/192.21 [7393]~P1(f329(f329(f239(a909),x73933),x73932))+P1(f329(f329(f239(a909),f329(f329(f23(a909),x73931),x73932)),f329(f329(f23(a909),x73931),x73933)))
% 192.24/192.21 [7394]~P1(f329(f329(f239(a909),x73941),x73943))+P1(f329(f329(f239(a909),f329(f329(f23(a909),x73941),x73942)),f329(f329(f23(a909),x73943),x73942)))
% 192.24/192.21 [7396]~P1(f329(f329(f239(a909),x73962),x73963))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x73961),x73962)),f329(f329(f83(a909),x73961),x73963)))
% 192.24/192.21 [7398]~P1(f329(f329(f239(a909),x73981),x73983))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x73981),x73982)),f329(f329(f83(a909),x73983),x73982)))
% 192.24/192.21 [7399]~P1(f329(f329(f239(a909),x73991),x73993))+P1(f329(f329(f239(a909),f329(f329(f37(a909),x73991),x73992)),f329(f329(f37(a909),x73993),x73992)))
% 192.24/192.21 [7400]~P1(f329(f329(f239(a1),x74002),x74003))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x74001),x74002)),f329(f329(f82(a1),x74001),x74003)))
% 192.24/192.21 [7484]E(x74841,x74842)+~P1(f329(f329(f331(x74843),x74841),f329(f329(f311(x74843),x74842),f191(f917(x74843,a904)))))
% 192.24/192.21 [7486]~E(f329(f329(f106(f917(x74861,a904)),x74862),x74863),f191(f917(x74861,a904)))+P1(f329(f329(f239(f917(x74861,a904)),x74862),f329(f81(f917(x74861,a904)),x74863)))
% 192.24/192.21 [7491]P1(f329(f329(f331(f917(x74911,a904)),x74912),f329(f310(x74911),x74913)))+~P1(f329(f329(f239(f917(x74911,a904)),x74912),x74913))
% 192.24/192.21 [7545]E(f329(f329(f154(x75451),f329(f329(f167(x75451),x75452),x75453)),f329(f329(f141(x75451),f329(a117,x75453)),x75452)),f329(f329(f141(x75451),x75453),x75452))+~P1(f329(f329(f240(a909),x75453),f329(f192(f910(x75451)),x75452)))
% 192.24/192.21 [7574]P1(f329(f329(f331(f916(x75741,x75741)),x75742),f309(x75741,x75743)))+~P1(f329(f329(f331(f916(x75741,x75741)),x75742),x75743))
% 192.24/192.21 [7584]~P1(f329(f329(f331(f917(x75841,a904)),x75842),f329(f310(x75841),x75843)))+P1(f329(f329(f239(f917(x75841,a904)),x75842),x75843))
% 192.24/192.21 [7628]P1(f329(f329(f239(f917(x76281,a904)),x76282),f38(f917(x76281,a904),x76283)))+~P1(f329(f329(f331(f917(x76281,a904)),x76282),x76283))
% 192.24/192.21 [7650]~P129(x76501)+E(f329(f329(f83(x76501),f329(f329(f249(x76501),f329(f81(x76501),f80(x76501))),x76502)),f329(f329(f249(x76501),x76503),x76502)),f329(f329(f249(x76501),f329(f81(x76501),x76503)),x76502))
% 192.24/192.21 [7672]E(f329(f329(f167(x76721),x76722),f329(f329(f23(a909),f329(f192(f910(x76721)),x76722)),f329(a117,x76723))),f329(f329(f167(x76721),f329(f171(x76721),x76722)),x76723))+~P1(f329(f329(f240(a909),x76723),f329(f192(f910(x76721)),x76722)))
% 192.24/192.21 [7689]~E(f329(f329(f106(f917(x76891,a904)),f638(x76893,x76892,x76891)),x76893),f191(f917(x76891,a904)))+E(f329(f329(f106(f917(x76891,a904)),f38(f917(x76891,a904),x76892)),x76893),f191(f917(x76891,a904)))
% 192.24/192.21 [7752]~P1(f329(f329(f331(x77523),x77522),f329(f175(x77523),x77521)))+P1(f329(f329(f240(a909),f658(x77521,x77522,x77523)),f329(f192(f910(x77523)),x77521)))
% 192.24/192.21 [7760]P1(f329(f329(f331(x77601),f329(f329(f167(x77601),x77602),x77603)),f329(f175(x77601),x77602)))+~P1(f329(f329(f240(a909),x77603),f329(f192(f910(x77601)),x77602)))
% 192.24/192.21 [7858]~P1(f329(x78582,f741(x78583,x78582,x78581)))+E(f329(f329(f141(x78581),f329(f192(f910(x78581)),f180(x78581,x78582,x78583))),x78583),f118(x78581))
% 192.24/192.21 [7871]P1(f329(f329(f239(f917(f910(x78711),a904)),f164(x78711,x78712)),f164(x78711,x78713)))+~P1(f329(f329(f239(f917(x78711,a904)),x78712),x78713))
% 192.24/192.21 [7872]P1(f329(f329(f239(f917(f910(x78721),a904)),f163(x78721,x78722)),f163(x78721,x78723)))+~P1(f329(f329(f239(f917(x78721,a904)),x78722),x78723))
% 192.24/192.21 [7900]E(f329(f329(f106(f917(x79001,a904)),f38(f917(x79001,a904),x79002)),x79003),f191(f917(x79001,a904)))+P1(f329(f329(f331(f917(x79001,a904)),f638(x79003,x79002,x79001)),x79002))
% 192.24/192.21 [7902]~P1(f329(f329(f331(f917(x79021,a904)),x79023),x79022))+P1(f329(f329(f239(f917(x79021,a904)),f39(f917(x79021,a904),x79022)),x79023))
% 192.24/192.21 [7904]E(f329(f329(f106(f917(x79041,a904)),x79042),x79043),f191(f917(x79041,a904)))+~P1(f329(f329(f239(f917(x79041,a904)),x79042),f329(f81(f917(x79041,a904)),x79043)))
% 192.24/192.21 [7958]E(f329(f329(f23(a909),f329(f329(f82(a909),f329(f168(a909),x79581)),x79582)),f329(f329(f167(a909),x79581),x79583)),f329(f168(a909),f329(f329(f162(a909,x79581),x79583),x79582)))+~P1(f329(f329(f240(a909),x79583),f329(f192(f910(a909)),x79581)))
% 192.24/192.21 [8009]P1(f329(f329(f240(a909),x80091),x80092))+~P1(f329(f329(f240(a909),f329(f329(f82(a909),x80093),x80091)),f329(f329(f82(a909),x80093),x80092)))
% 192.24/192.21 [8010]P1(f329(f329(f240(a909),x80101),x80102))+~P1(f329(f329(f240(a909),f329(f329(f83(a909),x80103),x80101)),f329(f329(f83(a909),x80103),x80102)))
% 192.24/192.21 [8011]P1(f329(f329(f240(a909),x80111),x80112))+~P1(f329(f329(f240(a909),f329(f329(f83(a909),x80111),x80113)),f329(f329(f83(a909),x80112),x80113)))
% 192.24/192.21 [8014]P1(f329(f329(f239(a909),x80141),x80142))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),x80143),x80141)),f329(f329(f82(a909),x80143),x80142)))
% 192.24/192.21 [8043]P1(f329(f329(f240(a909),f2(a909)),x80431))+~P1(f329(f329(f240(a909),f329(f329(f83(a909),x80432),x80431)),f329(f329(f83(a909),x80433),x80431)))
% 192.24/192.21 [8044]P1(f329(f329(f240(a909),f2(a909)),x80441))+~P1(f329(f329(f240(a909),f329(f329(f83(a909),x80441),x80442)),f329(f329(f83(a909),x80441),x80443)))
% 192.24/192.21 [8120]E(f252(x81201,x81202,x81203),x81202)+~P1(f329(f329(f239(f917(x81201,a904)),x81203),f329(f329(f311(x81201),x81202),f191(f917(x81201,a904)))))
% 192.24/192.21 [8178]~P1(f329(f140(x81781),x81783))+E(f329(f139(x81781,f329(f329(f8(a904,a904,x81781),a324),f329(a326,x81782))),x81783),f173(x81781,x81782,x81783))
% 192.24/192.21 [8202]E(f329(f329(f141(x82021),f329(f192(f910(x82021)),f180(x82021,x82022,x82023))),x82023),f118(x82021))+P1(f329(f329(f331(x82021),f741(x82023,x82022,x82021)),f329(f175(x82021),x82023)))
% 192.24/192.21 [8207]E(f329(f329(f137(x82071),f329(f329(f178(x82071),x82072),x82073)),f329(f329(f154(x82071),f329(f329(f167(x82071),x82073),x82072)),f118(x82071))),f329(f329(f178(x82071),f329(a117,x82072)),x82073))+~P1(f329(f329(f240(a909),x82072),f329(f192(f910(x82071)),x82073)))
% 192.24/192.21 [8270]E(f329(f139(x82701,f329(f329(f8(a904,a904,x82701),a324),f329(a326,x82702))),x82703),x82703)+P1(f329(f329(f331(x82701),x82702),f329(f175(x82701),x82703)))
% 192.24/192.21 [8276]P1(f329(f329(f239(f917(f917(x82761,a904),a904)),f253(x82761,x82762)),f253(x82761,x82763)))+~P1(f329(f329(f239(f917(x82761,a904)),x82762),x82763))
% 192.24/192.21 [8317]~P1(f329(f140(x83171),x83173))+P1(f329(f140(x83171),f329(f329(f329(f186(f910(x83171),f910(x83171)),x83172),f170(x83171)),x83173)))
% 192.24/192.21 [8322]~P1(f329(f329(f240(a909),x83222),x83223))+P1(f329(f329(f240(a909),f329(f329(f83(a909),f329(a117,x83221)),x83222)),f329(f329(f83(a909),f329(a117,x83221)),x83223)))
% 192.24/192.21 [8344]P1(f329(f329(f239(f917(f917(x83441,a904),a904)),f329(f310(x83441),x83442)),f329(f310(x83441),x83443)))+~P1(f329(f329(f239(f917(x83441,a904)),x83442),x83443))
% 192.24/192.21 [8413]~E(f329(f312(x84131,x84132,x84133),f247(f917(x84131,a904))),f247(f917(x84132,a904)))+E(f329(f74(x84131,x84132,x84132,x84133),f94(x84131,x84132,f247(f917(x84131,a904)),x84133)),f33(x84132))
% 192.24/192.21 [8508]~P1(f329(f329(f239(f917(x85081,a904)),x85083),x85082))+P1(f329(f329(f239(f917(x85081,a904)),f329(f81(f917(x85081,a904)),x85082)),f329(f81(f917(x85081,a904)),x85083)))
% 192.24/192.21 [8543]E(f329(f312(a909,a909,f329(f329(f7(a909,a909,a909),f23(a909)),x85431)),f329(f304(a909,x85432),x85433)),f329(f304(a909,f329(f329(f23(a909),x85432),x85431)),f329(f329(f23(a909),x85433),x85431)))+~P1(f329(f329(f240(a909),x85431),x85433))
% 192.24/192.21 [8570]~P4(x85701)+E(f329(f329(f82(x85701),x85702),f329(f145(x85701,x85701,f82(x85701),f2(x85701)),x85703)),f329(f145(x85701,x85701,f82(x85701),x85702),x85703))
% 192.24/192.21 [8658]~P89(x86581)+P1(f329(f329(f239(x86581),f329(f77(x86581),f329(f329(f82(x86581),x86582),x86583))),f329(f329(f82(x86581),f329(f77(x86581),x86582)),f329(f77(x86581),x86583))))
% 192.24/192.21 [8659]~P89(x86591)+P1(f329(f329(f239(x86591),f329(f77(x86591),f329(f329(f23(x86591),x86592),x86593))),f329(f329(f82(x86591),f329(f77(x86591),x86592)),f329(f77(x86591),x86593))))
% 192.24/192.21 [8670]E(f329(f329(f82(a1),f329(f329(f83(a1),x86701),f46(a1,f329(f329(f37(a1),x86702),x86701),x86703))),f46(a1,x86702,x86701)),f46(a1,x86702,f329(f329(f83(a1),x86701),x86703)))+~P1(f329(f329(f240(a1),f2(a1)),x86703))
% 192.24/192.21 [8676]E(f329(f329(f137(x86761),f329(f329(f178(x86761),x86762),x86763)),f329(f329(f154(x86761),f329(f144(x86761),f329(f329(f141(x86761),x86762),x86763))),f118(x86761))),f329(f329(f178(x86761),f329(a117,x86762)),x86763))+~P1(f329(f329(f240(a909),x86762),f329(f192(f910(x86761)),x86763)))
% 192.24/192.21 [8695]E(f329(f273(x86951,f329(f329(f157(x86951,f916(a104,x86951)),f329(f257(a104,x86951),f80(a104))),x86952)),f329(a3,x86953)),f329(f329(f167(x86951),x86952),x86953))+~P1(f329(f329(f240(a909),x86953),f329(f192(f910(x86951)),x86952)))
% 192.24/192.21 [8760]P1(f329(f329(f331(f916(x87601,x87601)),x87602),f329(f329(f291(x87601,x87601,x87601),x87603),f309(x87601,x87603))))+~P1(f329(f329(f331(f916(x87601,x87601)),x87602),x87603))
% 192.24/192.21 [8770]E(f329(f312(x87701,x87702,x87703),f247(f917(x87701,a904))),f247(f917(x87702,a904)))+~E(f329(f74(x87701,x87702,x87702,x87703),f94(x87701,x87702,f247(f917(x87701,a904)),x87703)),f33(x87702))
% 192.24/192.21 [8780]P1(f329(f329(f239(a909),x87801),x87802))+~P1(f329(f329(f239(a909),f329(f329(f83(a909),f329(a117,x87803)),x87801)),f329(f329(f83(a909),f329(a117,x87803)),x87802)))
% 192.24/192.21 [8795]P1(f329(f329(f239(f917(x87951,a904)),x87952),x87953))+~P1(f329(f329(f239(f917(x87951,a904)),f329(f81(f917(x87951,a904)),x87953)),f329(f81(f917(x87951,a904)),x87952)))
% 192.24/192.21 [8812]P1(f329(f140(x88121),x88122))+~P1(f329(f140(x88121),f329(f329(f329(f186(f910(x88121),f910(x88121)),x88123),f170(x88121)),x88122)))
% 192.24/192.21 [8881]E(f329(f288(x88811,x88811,f309(x88811,x88812)),x88813),x88813)+~P1(f329(f329(f239(f917(x88811,a904)),f329(f288(x88811,x88811,x88812),x88813)),x88813))
% 192.24/192.21 [8927]~P112(x89271)+P19(x89271,f329(f139(x89271,f329(f329(f7(x89271,x89271,a904),a326),f329(x89272,x89273))),x89273))
% 192.24/192.21 [8932]~P1(f329(f329(f239(a909),x89321),x89322))+P1(f329(f329(f239(a909),x89321),f329(f145(a909,a909,f82(a909),x89322),x89323)))
% 192.24/192.21 [9017]~P1(f329(f329(f331(f916(x90171,x90171)),x90172),f309(x90171,x90173)))+P1(f329(f329(f331(f916(x90171,x90171)),x90172),f329(f329(f186(f916(x90171,x90171),a904),f600(x90173,x90172,x90171)),x90173)))
% 192.24/192.21 [9102]~P4(x91021)+E(f329(f329(f82(x91021),x91022),f329(f145(x91021,x91021,f329(f7(x91021,x91021,x91021),f82(x91021)),f2(x91021)),f329(f171(x91021),x91023))),f329(f145(x91021,x91021,f82(x91021),x91022),x91023))
% 192.24/192.21 [9222]~P32(x92222,x92221,x92223,f247(f917(x92222,a904)),f247(f917(x92221,a904)))+E(f94(x92221,x92222,f247(f917(x92221,a904)),f94(x92222,x92221,f247(f917(x92222,a904)),x92223)),x92223)
% 192.24/192.21 [9382]P63(x93821,x93822,x93823)+P1(f329(f329(f331(f916(x93821,x93822)),f329(f329(f257(x93821,x93822),f604(x93823,x93822,x93821)),f599(x93823,x93822,x93821))),x93823))
% 192.24/192.21 [9383]P63(x93831,x93832,x93833)+P1(f329(f329(f331(f916(x93831,x93832)),f329(f329(f257(x93831,x93832),f604(x93833,x93832,x93831)),f598(x93833,x93832,x93831))),x93833))
% 192.24/192.21 [9451]~P1(f329(f329(f331(f916(x94511,x94511)),x94512),f329(f329(f291(x94511,x94511,x94511),x94513),f309(x94511,x94513))))+P1(f329(f329(f331(f916(x94511,x94511)),x94512),f329(f329(f186(f916(x94511,x94511),a904),f603(x94513,x94512,x94511)),x94513)))
% 192.24/192.21 [9452]~P1(f329(x94521,f329(f329(f167(x94522),x94523),f329(f192(f910(x94522)),f180(x94522,x94521,x94523)))))+~P1(f329(f329(f240(a909),f329(f192(f910(x94522)),f180(x94522,x94521,x94523))),f329(f192(f910(x94522)),x94523)))
% 192.24/192.21 [9539]~P1(f329(f329(f239(f917(x95391,a904)),x95392),x95393))+P1(f329(f329(f239(f917(x95391,a904)),f329(f329(f7(x95391,f917(x95391,a904),a904),f331(x95391)),x95392)),f329(f329(f7(x95391,f917(x95391,a904),a904),f331(x95391)),x95393)))
% 192.24/192.21 [9599]~P1(f329(f329(f331(f916(f917(x95991,a904),f917(x95991,a904))),f329(f329(f257(f917(x95991,a904),f917(x95991,a904)),x95992),x95993)),f316(x95991)))+P1(f329(f329(f240(f917(x95991,a904)),x95992),x95993))
% 192.24/192.21 [9624]P64(x96241,x96242,x96243)+~P1(f329(f329(f331(f916(x96241,x96241)),f329(f329(f257(x96241,x96241),f586(x96243,x96242,x96241)),f585(x96243,x96242,x96241))),x96243))
% 192.24/192.21 [9625]P64(x96251,x96252,x96253)+~P1(f329(f329(f331(f916(x96251,x96251)),f329(f329(f257(x96251,x96251),f585(x96253,x96252,x96251)),f586(x96253,x96252,x96251))),x96253))
% 192.24/192.21 [9661]~P1(f329(f329(f331(f916(f910(x96611),f910(x96611))),f329(f329(f257(f910(x96611),f910(x96611)),x96612),x96612)),f150(x96611,x96613)))+P1(f329(f329(f331(f916(x96611,x96611)),f329(f329(f257(x96611,x96611),f682(x96612,x96613,x96611)),f682(x96612,x96613,x96611))),x96613))
% 192.24/192.21 [9711]P1(f329(f329(f239(f917(x97111,a904)),x97112),x97113))+~P1(f329(f329(f239(f917(x97111,a904)),f329(f329(f7(x97111,f917(x97111,a904),a904),f331(x97111)),x97112)),f329(f329(f7(x97111,f917(x97111,a904),a904),f331(x97111)),x97113)))
% 192.24/192.21 [9794]E(f329(f329(f23(a909),f329(f329(f6(a909,a909),x97941),f329(f285(a909),x97942))),f329(f329(f6(a909,a909),x97943),f329(f285(a909),x97942))),f329(f329(f6(a909,a909),f329(f329(f18(a909,a909,a909),f329(f329(f8(a909,f917(a909,a909),a909),f23(a909)),x97941)),x97943)),f329(f285(a909),x97942)))+~P1(f329(f329(f239(a909),f329(x97943,f355(x97942,x97941,x97943))),f329(x97941,f355(x97942,x97941,x97943))))
% 192.24/192.21 [5746]~P79(x57461)+E(f329(f329(f82(x57461),f329(f329(f23(x57461),x57462),x57463)),x57463),x57462)
% 192.24/192.21 [5747]~P79(x57471)+E(f329(f329(f23(x57471),f329(f329(f82(x57471),x57472),x57473)),x57473),x57472)
% 192.24/192.21 [5974]~P79(x59741)+E(f329(f329(f82(x59741),x59742),f329(f329(f82(x59741),f329(f81(x59741),x59742)),x59743)),x59743)
% 192.24/192.21 [6057]~P85(x60571)+E(f329(f329(f83(x60571),f329(f329(f249(x60571),x60572),x60573)),x60572),f329(f329(f249(x60571),x60572),f329(a117,x60573)))
% 192.24/192.21 [6058]~P116(x60581)+E(f329(f329(f83(x60581),f329(f329(f249(x60581),x60582),x60583)),x60582),f329(f329(f249(x60581),x60582),f329(a117,x60583)))
% 192.24/192.21 [6280]~P120(x62801)+E(f329(f77(x62801),f329(f329(f249(x62801),f329(f81(x62801),x62802)),x62803)),f329(f77(x62801),f329(f329(f249(x62801),x62802),x62803)))
% 192.24/192.21 [6332]~P85(x63321)+E(f329(f329(f83(x63321),f329(f329(f249(x63321),x63322),x63323)),x63322),f329(f329(f83(x63321),x63322),f329(f329(f249(x63321),x63322),x63323)))
% 192.24/192.21 [6383]E(f329(f329(f23(a104),f329(f329(f82(a104),x63831),x63832)),x63833),f277(x63831,x63832,x63833))+~P1(f329(f329(f240(a104),x63832),x63833))
% 192.24/192.21 [6406]~E(f329(f329(f141(x64061),x64063),x64062),f118(x64061))+P1(f329(f329(f239(a909),f329(f192(f910(x64061)),x64062)),x64063))
% 192.24/192.21 [6543]E(f329(f329(f83(a909),f329(f108(a909),x65431)),f329(f329(f83(a909),f329(f108(a909),x65432)),x65433)),f2(a909))+~P1(f329(f329(f240(a1),x65431),a85))
% 192.24/192.21 [6560]~P70(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)))
% 192.24/192.21 [6639]E(f329(f329(f23(a909),f329(f329(f82(a909),x66391),x66392)),x66393),f329(f329(f23(a909),x66391),f329(f329(f23(a909),x66393),x66392)))+~P1(f329(f329(f239(a909),x66392),x66393))
% 192.24/192.21 [6640]E(f329(f329(f23(a909),f329(f329(f82(a909),x66401),x66402)),x66403),f329(f329(f82(a909),x66401),f329(f329(f23(a909),x66402),x66403)))+~P1(f329(f329(f239(a909),x66403),x66402))
% 192.24/192.21 [6677]~P2(x66771)+P1(f329(f329(f239(x66771),f329(f329(f106(x66771),x66772),x66773)),x66773))
% 192.24/192.21 [6678]~P104(x66781)+P1(f329(f329(f239(x66781),f329(f329(f106(x66781),x66782),x66783)),x66783))
% 192.24/192.21 [6679]~P2(x66791)+P1(f329(f329(f239(x66791),f329(f329(f106(x66791),x66792),x66793)),x66792))
% 192.24/192.21 [6680]~P104(x66801)+P1(f329(f329(f239(x66801),f329(f329(f106(x66801),x66802),x66803)),x66802))
% 192.24/192.21 [6681]~P112(x66811)+P1(f329(f329(f239(x66811),f329(f329(f237(x66811),x66812),x66813)),x66813))
% 192.24/192.21 [6682]~P112(x66821)+P1(f329(f329(f239(x66821),f329(f329(f237(x66821),x66822),x66823)),x66822))
% 192.24/192.21 [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(f240(a1),f2(a1)),x66963))
% 192.24/192.21 [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))
% 192.24/192.21 [6748]~P96(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))
% 192.24/192.21 [6821]~P4(x68211)+E(f329(f168(x68211),f329(f329(f157(x68212,x68211),f329(f16(x68211,x68212),f2(x68211))),x68213)),f2(x68211))
% 192.24/192.21 [6836]E(f329(f329(f82(a909),f329(f108(a909),x68361)),f329(f329(f82(a909),f329(f108(a909),x68362)),x68363)),f329(f329(f82(a909),f329(f108(a909),x68362)),x68363))+~P1(f329(a196,f329(f108(a1),x68361)))
% 192.24/192.21 [6850]~P11(x68501)+E(f39(x68501,f329(f329(f311(x68501),x68502),f329(f329(f311(x68501),x68503),f191(f917(x68501,a904))))),f329(f329(f106(x68501),x68502),x68503))
% 192.24/192.21 [6851]~P11(x68511)+E(f38(x68511,f329(f329(f311(x68511),x68512),f329(f329(f311(x68511),x68513),f191(f917(x68511,a904))))),f329(f329(f115(x68511),x68512),x68513))
% 192.24/192.21 [6874]E(f329(f329(f178(x68741),x68742),x68743),x68743)+~P1(f329(f329(f239(a909),f329(f192(f910(x68741)),x68743)),x68742))
% 192.24/192.21 [6886]E(f329(f329(f141(x68861),x68862),x68863),f118(x68861))+~P1(f329(f329(f239(a909),f329(f192(f910(x68861)),x68863)),x68862))
% 192.24/192.21 [6897]E(f329(f329(f23(a909),f329(f329(f82(a909),x68971),x68972)),x68973),f329(f329(f82(a909),f329(f329(f23(a909),x68971),x68973)),x68972))+~P1(f329(f329(f239(a909),x68973),x68971))
% 192.24/192.21 [6911]~P1(f329(f329(f240(a909),x69111),x69113))+P1(f329(f329(f240(a909),f329(f329(f23(a909),x69111),x69112)),x69113))
% 192.24/192.21 [6938]~P112(x69381)+E(f173(x69381,x69382,f329(f329(f151(x69381,x69381,f5(x69381)),x69382),x69383)),x69383)
% 192.24/192.21 [7025]E(f329(f329(f23(a909),f329(f329(f82(a909),x70251),x70252)),f329(a117,x70253)),f329(f329(f23(a909),x70251),f329(a117,f329(f329(f23(a909),x70253),x70252))))+~P1(f329(f329(f239(a909),x70252),x70253))
% 192.24/192.21 [7026]~P120(x70261)+P1(f329(f329(f239(x70261),f2(x70261)),f329(f329(f249(x70261),f329(f77(x70261),x70262)),x70263)))
% 192.24/192.21 [7073]P30(x70731,x70732,x70733)+~P1(f329(f329(f239(f917(f908(x70731),a904)),x70733),x70732))
% 192.24/192.21 [7115]~P1(f329(f62(x71151),x71152))+P1(f329(f62(x71151),f329(f329(f23(f917(x71151,a904)),x71152),x71153)))
% 192.24/192.21 [7116]~P1(f329(f62(x71161),x71163))+P1(f329(f62(x71161),f329(f329(f106(f917(x71161,a904)),x71162),x71163)))
% 192.24/192.21 [7117]~P1(f329(f62(x71171),x71172))+P1(f329(f62(x71171),f329(f329(f106(f917(x71171,a904)),x71172),x71173)))
% 192.24/192.21 [7255]~P44(x72551,x72553)+P44(x72551,f329(f329(f106(f917(f916(x72551,x72551),a904)),x72552),x72553))
% 192.24/192.21 [7256]~P44(x72561,x72562)+P44(x72561,f329(f329(f106(f917(f916(x72561,x72561),a904)),x72562),x72563))
% 192.24/192.21 [7382]~P2(x73821)+E(f13(x73821,f329(f175(x73821),f329(f329(f154(x73821),x73822),x73823))),f329(f145(x73821,x73821,f115(x73821),x73822),x73823))
% 192.24/192.21 [7383]~P2(x73831)+E(f10(x73831,f329(f175(x73831),f329(f329(f154(x73831),x73832),x73833))),f329(f145(x73831,x73831,f106(x73831),x73832),x73833))
% 192.24/192.21 [7384]~P112(x73841)+E(f14(x73841,f329(f175(x73841),f329(f329(f154(x73841),x73842),x73843))),f329(f145(x73841,x73841,f237(x73841),x73842),x73843))
% 192.24/192.21 [7385]~P112(x73851)+E(f15(x73851,f329(f175(x73851),f329(f329(f154(x73851),x73852),x73853))),f329(f145(x73851,x73851,f238(x73851),x73852),x73853))
% 192.24/192.21 [7450]~P1(f329(f62(x74501),x74502))+P1(f329(f329(f239(a909),f329(f36(x74501),x74502)),f329(f36(x74501),f329(f329(f311(x74501),x74503),x74502))))
% 192.24/192.21 [7458]E(f329(f329(f115(f917(a909,a904)),f329(f304(a909,x74581),x74582)),f329(f304(a909,x74582),f329(f329(f82(a909),x74582),x74583))),f329(f304(a909,x74581),f329(f329(f82(a909),x74582),x74583)))+~P1(f329(f329(f239(a909),x74581),x74582))
% 192.24/192.21 [7467]P1(f329(f329(f240(a909),x74671),x74672))+~P1(f329(f329(f240(a909),f329(f329(f82(a909),x74671),x74673)),x74672))
% 192.24/192.21 [7470]P1(f329(f329(f239(a909),x74701),x74702))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),x74703),x74701)),x74702))
% 192.24/192.21 [7471]P1(f329(f329(f239(a909),x74711),x74712))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),x74711),x74713)),x74712))
% 192.24/192.21 [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))
% 192.24/192.21 [7509]~P112(x75091)+E(f12(x75091,f237(x75091),f329(f175(x75091),f329(f329(f154(x75091),x75092),x75093))),f329(f145(x75091,x75091,f237(x75091),x75092),x75093))
% 192.24/192.21 [7513]~E(x75132,f191(f917(f916(x75131,x75131),a904)))+P1(f329(f329(f239(f917(f916(x75131,x75131),a904)),x75132),x75133))
% 192.24/192.21 [7623]E(f329(f329(f115(f917(x76231,a904)),x76232),f329(f329(f23(f917(x76231,a904)),x76233),x76232)),x76233)+~P1(f329(f329(f239(f917(x76231,a904)),x76232),x76233))
% 192.24/192.21 [7624]~P1(f329(f329(f240(a909),x76241),f329(f329(f23(a909),x76243),x76242)))+P1(f329(f329(f240(a909),f329(f329(f82(a909),x76241),x76242)),x76243))
% 192.24/192.21 [7625]~P1(f329(f329(f239(a909),x76251),f329(f329(f82(a909),x76253),x76252)))+P1(f329(f329(f239(a909),f329(f329(f23(a909),x76251),x76252)),x76253))
% 192.24/192.21 [7679]E(x76791,f118(x76792))+E(f329(f144(x76792),f329(f329(f329(f186(f910(x76792),f910(x76792)),x76793),f170(x76792)),x76791)),f329(f329(f167(x76792),x76791),f46(a909,x76793,f329(f192(f910(x76792)),x76791))))
% 192.24/192.21 [7688]E(f329(f329(f311(x76881),x76882),f329(f329(f23(f917(x76881,a904)),x76883),f329(f329(f311(x76881),x76882),f191(f917(x76881,a904))))),x76883)+~P1(f329(f329(f331(x76881),x76882),x76883))
% 192.24/192.21 [7849]P1(f329(f329(f240(a909),x78491),f329(f329(f23(a909),x78492),x78493)))+~P1(f329(f329(f240(a909),f329(f329(f82(a909),x78491),x78493)),x78492))
% 192.24/192.21 [7850]P1(f329(f329(f239(a909),x78501),f329(f329(f82(a909),x78502),x78503)))+~P1(f329(f329(f239(a909),f329(f329(f23(a909),x78501),x78503)),x78502))
% 192.24/192.21 [7875]P1(f329(f62(x78751),x78752))+~P1(f329(f62(x78751),f329(f329(f115(f917(x78751,a904)),x78753),x78752)))
% 192.24/192.21 [7876]P1(f329(f62(x78761),x78762))+~P1(f329(f62(x78761),f329(f329(f115(f917(x78761,a904)),x78762),x78763)))
% 192.24/192.21 [7956]~P54(x79561,x79563)+P1(f329(f329(f331(f916(x79561,x79561)),f329(f329(f257(x79561,x79561),x79562),x79562)),x79563))
% 192.24/192.21 [8091]E(f329(f329(f167(a909),f142(a909,f329(f304(a909,x80911),x80912))),x80913),f329(f329(f82(a909),x80911),x80913))+~P1(f329(f329(f240(a909),f329(f329(f82(a909),x80911),x80913)),x80912))
% 192.24/192.21 [8162]~P1(f329(f329(f197(f329(a26,x81621)),x81622),x81623))+P1(f329(f329(f197(f329(f236(a905),f329(a27,x81621))),x81622),x81623))
% 192.24/192.21 [8167]E(f329(f329(f178(a909),x81671),f142(a909,f329(f304(a909,x81672),x81673))),f142(a909,f329(f304(a909,x81672),f329(f329(f82(a909),x81672),x81671))))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),x81672),x81671)),x81673))
% 192.24/192.21 [8224]~P96(x82241)+E(f329(f329(f249(x82241),x82242),f329(f108(a909),f329(f329(f82(a1),x82243),x82243))),f329(f329(f88(x82241,x82241),f329(f329(f249(x82241),x82242),f329(f108(a909),x82243))),f329(f329(f18(x82241,x82241,x82241),f83(x82241)),f5(x82241))))
% 192.24/192.21 [8430]P1(f329(f329(f197(f329(a26,x84301)),x84302),x84303))+~P1(f329(f329(f197(f329(f236(a905),f329(a27,x84301))),x84302),x84303))
% 192.24/192.21 [8488]E(f329(f329(f137(x84881),f329(f329(f178(x84881),x84882),x84883)),f329(f329(f154(x84881),f329(f329(f167(x84881),x84883),x84882)),f329(f329(f141(x84881),f329(a117,x84882)),x84883))),x84883)+~P1(f329(f329(f240(a909),x84882),f329(f192(f910(x84881)),x84883)))
% 192.24/192.21 [8495]P1(f329(f329(f239(f917(x84951,a904)),f317(x84951,x84952)),f317(x84951,x84953)))+~P1(f329(f329(f239(f917(x84951,f917(x84951,a904))),x84953),x84952))
% 192.24/192.21 [8496]~P64(x84961,x84962,x84963)+P64(x84961,x84962,f329(f329(f23(f917(f916(x84961,x84961),a904)),x84963),f309(x84961,f191(f917(f916(x84961,x84961),a904)))))
% 192.24/192.21 [8516]P1(f329(f329(f239(f917(x85161,a904)),f318(x85161,x85162)),f318(x85161,x85163)))+~P1(f329(f329(f239(f917(f916(x85161,x85161),a904)),x85163),x85162))
% 192.24/192.21 [8523]~P127(x85231)+P1(f329(f329(f239(x85231),f2(x85231)),f329(f329(f82(x85231),f329(f329(f83(x85231),x85232),x85232)),f329(f329(f83(x85231),x85233),x85233))))
% 192.24/192.21 [8558]P1(f329(f329(f239(f917(x85581,a904)),f329(f284(x85581),x85582)),f329(f284(x85581),x85583)))+~P1(f329(f329(f239(f917(f916(x85581,x85581),a904)),x85582),x85583))
% 192.24/192.21 [8593]~P62(x85931,x85932)+~P1(f329(f329(f331(f916(x85931,x85931)),f329(f329(f257(x85931,x85931),x85933),x85933)),x85932))
% 192.24/192.21 [8595]~P44(x85951,x85952)+~P1(f329(f329(f331(f916(x85951,x85951)),f329(f329(f257(x85951,x85951),x85953),x85953)),x85952))
% 192.24/192.21 [8660]P1(f329(f329(f239(f917(x86601,a904)),f39(f917(x86601,a904),x86602)),f39(f917(x86601,a904),x86603)))+~P1(f329(f329(f239(f917(f917(x86601,a904),a904)),x86603),x86602))
% 192.24/192.21 [8661]P1(f329(f329(f239(f917(x86611,a904)),f38(f917(x86611,a904),x86612)),f38(f917(x86611,a904),x86613)))+~P1(f329(f329(f239(f917(f917(x86611,a904),a904)),x86612),x86613))
% 192.24/192.21 [8714]~P14(x87141,x87143,x87142)+P1(f329(f329(f239(f917(f916(x87141,x87141),a904)),x87142),f329(f329(f259(x87141,x87141),x87143),f329(f16(f917(x87141,a904),x87141),x87143))))
% 192.24/192.21 [8715]~P61(x87151,x87153,x87152)+P1(f329(f329(f239(f917(f916(x87151,x87151),a904)),x87152),f329(f329(f259(x87151,x87151),x87153),f329(f16(f917(x87151,a904),x87151),x87153))))
% 192.24/192.21 [8761]~P89(x87611)+P1(f329(f329(f239(x87611),f329(f329(f23(x87611),f329(f77(x87611),x87612)),f329(f77(x87611),x87613))),f329(f77(x87611),f329(f329(f23(x87611),x87613),x87612))))
% 192.24/192.21 [8762]~P89(x87621)+P1(f329(f329(f239(x87621),f329(f329(f23(x87621),f329(f77(x87621),x87622)),f329(f77(x87621),x87623))),f329(f77(x87621),f329(f329(f23(x87621),x87622),x87623))))
% 192.24/192.21 [8793]P1(f329(f329(f239(f917(f916(x87931,x87931),a904)),f309(x87931,x87932)),f309(x87931,x87933)))+~P1(f329(f329(f239(f917(f916(x87931,x87931),a904)),x87932),x87933))
% 192.24/192.21 [8891]~P31(x88912,x88911,x88913,f247(f917(x88912,a904)))+E(f329(f74(x88911,x88912,x88912,f94(x88912,x88911,f247(f917(x88912,a904)),x88913)),x88913),f33(x88912))
% 192.24/192.21 [8950]P64(x89501,x89502,x89503)+~P64(x89501,x89502,f329(f329(f23(f917(f916(x89501,x89501),a904)),x89503),f309(x89501,f191(f917(f916(x89501,x89501),a904)))))
% 192.24/192.21 [8968]P1(f329(f329(f239(f917(f916(f910(x89681),f910(x89681)),a904)),f160(x89681,x89682)),f160(x89681,x89683)))+~P1(f329(f329(f239(f917(f916(x89681,x89681),a904)),x89682),x89683))
% 192.24/192.21 [8969]P1(f329(f329(f239(f917(f916(f910(x89691),f910(x89691)),a904)),f161(x89691,x89692)),f161(x89691,x89693)))+~P1(f329(f329(f239(f917(f916(x89691,x89691),a904)),x89692),x89693))
% 192.24/192.21 [8990]~P61(x89901,x89903,x89902)+P1(f329(f329(f239(f917(f916(x89901,x89901),a904)),x89902),f329(f329(f291(x89901,x89901,x89901),f329(f289(x89901,x89901),x89902)),x89902)))
% 192.24/192.21 [9046]~P1(f329(f140(x90461),x90462))+E(f329(f139(x90461,f329(f329(f7(x90461,f917(x90461,a904),a904),f331(x90461)),f329(f175(x90461),f179(x90461,x90462,x90463)))),x90462),f179(x90461,x90462,x90463))
% 192.24/192.21 [9100]E(x91001,x91002)+~P1(f329(f329(f331(f916(x91003,x91003)),f329(f329(f257(x91003,x91003),x91001),x91002)),f309(x91003,f191(f917(f916(x91003,x91003),a904)))))
% 192.24/192.21 [9186]P1(f329(f329(f331(x91861),x91862),f318(x91861,x91863)))+P1(f329(f329(f331(f916(x91861,x91861)),f329(f329(f257(x91861,x91861),f525(x91863,x91862,x91861)),x91862)),x91863))
% 192.24/192.21 [9187]P1(f329(f329(f331(x91871),x91872),f318(x91871,x91873)))+P1(f329(f329(f331(f916(x91871,x91871)),f329(f329(f257(x91871,x91871),f587(x91873,x91872,x91871)),x91872)),x91873))
% 192.24/192.21 [9188]P1(f329(f329(f331(x91881),x91882),f318(x91881,x91883)))+P1(f329(f329(f331(f916(x91881,x91881)),f329(f329(f257(x91881,x91881),f588(x91883,x91882,x91881)),x91882)),x91883))
% 192.24/192.21 [9223]P31(x92231,x92232,x92233,f247(f917(x92231,a904)))+~E(f329(f74(x92232,x92231,x92231,f94(x92231,x92232,f247(f917(x92231,a904)),x92233)),x92233),f33(x92231))
% 192.24/192.21 [9285]~P1(f329(f329(f331(f910(x92851)),x92853),f164(x92851,x92852)))+P1(f329(f163(x92851,f329(f329(f7(x92851,f917(x92851,a904),a904),f331(x92851)),x92852)),x92853))
% 192.24/192.21 [9309]P1(f329(x93093,x93092))+E(f329(f267(x93091),f329(f329(f18(x93091,a904,a904),f329(f329(f8(a904,f917(a904,a904),x93091),a327),f329(a326,x93092))),x93093)),f191(f917(x93091,a904)))
% 192.24/192.21 [9326]~P89(x93261)+P1(f329(f329(f239(x93261),f329(f77(x93261),f329(f329(f23(x93261),f329(f77(x93261),x93262)),f329(f77(x93261),x93263)))),f329(f77(x93261),f329(f329(f23(x93261),x93262),x93263))))
% 192.24/192.21 [9341]~P1(f329(x93413,x93412))+E(f329(f267(x93411),f329(f329(f18(x93411,a904,a904),f329(f329(f8(a904,f917(a904,a904),x93411),a327),f329(a326,x93412))),x93413)),f329(f329(f311(x93411),x93412),f191(f917(x93411,a904))))
% 192.24/192.21 [9348]~P1(f329(f329(f331(f917(x93481,a904)),x93483),f329(f310(x93481),x93482)))+P1(f329(f253(x93481,f329(f329(f7(x93481,f917(x93481,a904),a904),f331(x93481)),x93482)),x93483))
% 192.24/192.21 [9381]P44(x93811,x93812)+P1(f329(f329(f331(f916(x93811,x93811)),f329(f329(f257(x93811,x93811),f329(f535(x93812,x93811),f329(a117,x93813))),f329(f535(x93812,x93811),x93813))),x93812))
% 192.24/192.21 [9519]P1(f329(f329(f331(f910(x95191)),x95192),f164(x95191,x95193)))+~P1(f329(f163(x95191,f329(f329(f7(x95191,f917(x95191,a904),a904),f331(x95191)),x95193)),x95192))
% 192.24/192.22 [9531]P1(f329(f329(f331(f917(x95311,a904)),x95312),f329(f310(x95311),x95313)))+~P1(f329(f253(x95311,f329(f329(f7(x95311,f917(x95311,a904),a904),f331(x95311)),x95313)),x95312))
% 192.24/192.22 [9594]P1(f329(f329(f331(x95941),f329(f273(x95941,x95942),x95943)),f329(f175(x95941),f329(f329(f157(f916(a104,x95941),x95941),f261(a104,x95941)),x95942))))+~P1(f329(f329(f240(a104),x95943),f329(f168(a104),f329(f329(f157(f916(a104,x95941),a104),f256(a104,x95941)),x95942))))
% 192.24/192.22 [9641]P1(f329(f329(f239(f917(f916(f910(x96411),f910(x96411)),a904)),f161(x96411,x96412)),f329(f329(f259(f910(x96411),f910(x96411)),f164(x96411,x96413)),f329(f16(f917(f910(x96411),a904),f910(x96411)),f164(x96411,x96413)))))+~P1(f329(f329(f239(f917(f916(x96411,x96411),a904)),x96412),f329(f329(f259(x96411,x96411),x96413),f329(f16(f917(x96411,a904),x96411),x96413))))
% 192.24/192.22 [9664]P1(f329(f329(f331(x96641),f329(f256(x96641,f916(a104,a104)),f329(f271(x96641,x96642),x96643))),f329(f175(x96641),f329(f329(f157(f916(a104,x96641),x96641),f261(a104,x96641)),x96642))))+~P1(f329(f329(f240(a104),f2(a104)),f329(f168(a104),f329(f329(f157(f916(a104,x96641),a104),f256(a104,x96641)),x96642))))
% 192.24/192.22 [9679]~P1(f329(f329(f239(f917(f916(x96791,x96791),a904)),x96792),f329(f329(f259(x96791,x96791),x96793),f329(f16(f917(x96791,a904),x96791),x96793))))+P1(f329(f329(f239(f917(f916(x96791,x96791),a904)),f329(f329(f291(x96791,x96791,x96791),x96792),f309(x96791,x96792))),f329(f329(f259(x96791,x96791),x96793),f329(f16(f917(x96791,a904),x96791),x96793))))
% 192.24/192.22 [9980]~P44(x99801,x99802)+~P1(f329(f329(f331(f916(x99801,x99801)),f329(f329(f257(x99801,x99801),f329(x99803,f329(a117,f536(x99802,x99801,x99803)))),f329(x99803,f536(x99802,x99801,x99803)))),x99802))
% 192.24/192.22 [9981]~P44(x99811,x99812)+~P1(f329(f329(f331(f916(x99811,x99811)),f329(f329(f257(x99811,x99811),f329(x99813,f329(a117,f594(x99813,x99812,x99811)))),f329(x99813,f594(x99813,x99812,x99811)))),x99812))
% 192.24/192.22 [10226]P1(f329(f329(f239(f917(f916(f917(x102261,a904),f917(x102261,a904)),a904)),f329(f329(f291(f917(x102261,a904),f917(x102261,a904),f917(x102261,a904)),f320(x102261,x102262)),f329(f329(f115(f917(f916(f917(x102261,a904),f917(x102261,a904)),a904)),f320(x102261,x102263)),f329(f329(f311(f916(f917(x102261,a904),f917(x102261,a904))),f329(f329(f257(f917(x102261,a904),f917(x102261,a904)),f191(f917(x102261,a904))),f191(f917(x102261,a904)))),f191(f917(f916(f917(x102261,a904),f917(x102261,a904)),a904)))))),f320(x102261,x102262)))+~P1(f329(f329(f239(f917(f916(x102261,x102261),a904)),f329(f329(f291(x102261,x102261,x102261),x102262),x102263)),x102262))
% 192.24/192.22 [10227]P1(f329(f329(f239(f917(f916(f917(x102271,a904),f917(x102271,a904)),a904)),f329(f329(f291(f917(x102271,a904),f917(x102271,a904),f917(x102271,a904)),f322(x102271,x102272)),f329(f329(f115(f917(f916(f917(x102271,a904),f917(x102271,a904)),a904)),f322(x102271,x102273)),f329(f329(f311(f916(f917(x102271,a904),f917(x102271,a904))),f329(f329(f257(f917(x102271,a904),f917(x102271,a904)),f191(f917(x102271,a904))),f191(f917(x102271,a904)))),f191(f917(f916(f917(x102271,a904),f917(x102271,a904)),a904)))))),f322(x102271,x102272)))+~P1(f329(f329(f239(f917(f916(x102271,x102271),a904)),f329(f329(f291(x102271,x102271,x102271),x102272),x102273)),x102272))
% 192.24/192.22 [7381]~P1(f329(f329(f239(a909),x73812),x73811))+E(f329(f329(f23(a909),f329(a117,f329(f329(f23(a909),x73811),x73812))),x73813),f329(f329(f23(a909),f329(a117,x73811)),f329(f329(f82(a909),x73812),x73813)))
% 192.24/192.22 [7420]~P9(x74201)+E(f329(f329(f82(x74201),f46(x74201,x74202,x74203)),f329(f329(f83(x74201),f329(f329(f37(x74201),x74202),x74203)),x74203)),x74202)
% 192.24/192.22 [7629]E(f329(f329(f83(a909),f329(f108(a909),x76291)),f329(f329(f83(a909),f329(f108(a909),x76292)),x76293)),f329(f329(f83(a909),f329(f108(a909),f329(f329(f83(a1),x76291),x76292))),x76293))+P1(f329(f329(f240(a1),x76291),a85))
% 192.24/192.22 [8102]~P1(f329(f329(f239(a909),x81023),x81022))+P1(f329(f329(f239(a909),x81021),f329(f329(f23(a909),f329(f329(f82(a909),x81022),x81021)),x81023)))
% 192.24/192.22 [8308]~P1(f329(f329(f239(a909),x83081),x83082))+E(f329(f329(f137(a909),f142(a909,f329(f304(a909,x83081),x83082))),f142(a909,f329(f304(a909,x83082),f329(f329(f82(a909),x83082),x83083)))),f142(a909,f329(f304(a909,x83081),f329(f329(f82(a909),x83082),x83083))))
% 192.24/192.22 [8567]~P1(f329(f62(x85671),x85672))+E(f329(a117,f329(f36(x85671),f329(f329(f23(f917(x85671,a904)),x85672),f329(f329(f311(x85671),x85673),f191(f917(x85671,a904)))))),f329(f36(x85671),f329(f329(f311(x85671),x85673),x85672)))
% 192.24/192.22 [8614]~P1(f329(f62(x86141),x86142))+E(f329(f329(f82(a909),f80(a909)),f329(f36(x86141),f329(f329(f23(f917(x86141,a904)),x86142),f329(f329(f311(x86141),x86143),f191(f917(x86141,a904)))))),f329(f36(x86141),f329(f329(f311(x86141),x86143),x86142)))
% 192.24/192.22 [8801]E(f329(f329(f23(a909),f329(f36(x88011),x88012)),f329(f36(x88011),f329(f329(f106(f917(x88011,a904)),x88012),x88013))),f329(f36(x88011),f329(f329(f23(f917(x88011,a904)),x88012),x88013)))+~P1(f329(f62(x88011),f329(f329(f106(f917(x88011,a904)),x88012),x88013)))
% 192.24/192.22 [9041]~P12(f329(x90412,f402(x90412,x90413,x90411)))+E(f329(f105(a1),f329(f329(f6(x90411,a909),f329(f329(f8(a1,a909,x90411),a109),x90412)),x90413)),f329(f329(f6(x90411,a1),x90412),x90413))
% 192.24/192.22 [9042]~P12(f329(x90422,f403(x90422,x90423,x90421)))+E(f329(f105(a1),f329(f329(f9(x90421,a909),f329(f329(f8(a1,a909,x90421),a109),x90422)),x90423)),f329(f329(f9(x90421,a1),x90422),x90423))
% 192.24/192.22 [9084]~P1(f329(f62(x90841),x90843))+P1(f329(f329(f239(a909),f329(f329(f23(a909),f329(f36(x90841),x90842)),f329(f36(x90841),x90843))),f329(f36(x90841),f329(f329(f23(f917(x90841,a904)),x90842),x90843))))
% 192.24/192.22 [9111]P1(f329(f329(f331(x91111),f402(x91112,x91113,x91111)),x91113))+E(f329(f105(a1),f329(f329(f6(x91111,a909),f329(f329(f8(a1,a909,x91111),a109),x91112)),x91113)),f329(f329(f6(x91111,a1),x91112),x91113))
% 192.24/192.22 [9112]P1(f329(f329(f331(x91121),f403(x91122,x91123,x91121)),x91123))+E(f329(f105(a1),f329(f329(f9(x91121,a909),f329(f329(f8(a1,a909,x91121),a109),x91122)),x91123)),f329(f329(f9(x91121,a1),x91122),x91123))
% 192.24/192.22 [9178]E(f87(x91781,f329(f329(f7(x91781,f917(x91781,a904),a904),f331(x91781)),f329(f329(f23(f917(x91781,a904)),x91782),f329(f329(f311(x91781),x91783),f191(f917(x91781,a904)))))),f252(x91781,x91783,x91782))+P1(f329(f329(f239(f917(x91781,a904)),x91782),f329(f329(f311(x91781),x91783),f191(f917(x91781,a904)))))
% 192.24/192.22 [9532]E(f329(f329(f157(f910(x95321),x95321),f329(f329(f7(f910(x95321),a909,x95321),f167(x95321)),x95322)),f329(f139(f910(x95321),f329(f329(f8(a909,a904,f910(x95321)),f329(f240(a909),x95322)),f192(f910(x95321)))),x95323)),f329(f329(f167(f910(x95321)),f182(x95321,x95323)),x95322))+~P1(f329(f329(f240(a909),x95322),f329(f192(f910(f910(x95321))),f182(x95321,x95323))))
% 192.24/192.22 [9614]E(f329(f139(x96141,x96142),x96143),f180(x96141,x96142,x96143))+P1(f329(f329(f331(x96141),f744(x96143,x96142,x96141)),f329(f175(x96141),f329(f329(f141(x96141),f329(f192(f910(x96141)),f180(x96141,x96142,x96143))),x96143))))
% 192.24/192.22 [9754]E(f329(f329(f141(x97541),f329(f192(f910(x97541)),f180(x97541,x97542,x97543))),x97543),f118(x97541))+~P1(f329(x97542,f329(f144(x97541),f329(f329(f141(x97541),f329(f192(f910(x97541)),f180(x97541,x97542,x97543))),x97543))))
% 192.24/192.22 [9847]~P1(f329(f329(f331(f916(x98471,x98471)),x98472),f309(x98471,x98473)))+P1(f329(f329(f331(f916(x98471,x98471)),x98472),f329(f329(f40(a909,f917(f916(x98471,x98471),a904)),f247(f917(a909,a904))),f329(f329(f7(a909,f917(f916(x98471,x98471),a904),f917(f916(x98471,x98471),a904)),f186(f916(x98471,x98471),a904)),x98473))))
% 192.24/192.22 [9906]~P1(f329(f329(f239(f917(x99061,a904)),f329(f329(f40(a909,f917(x99061,a904)),f329(f304(a909,f2(a909)),f466(x99063,x99062,x99061))),x99062)),x99063))+P1(f329(f329(f239(f917(x99061,a904)),f329(f329(f40(a909,f917(x99061,a904)),f247(f917(a909,a904))),x99062)),x99063))
% 192.24/192.22 [9955]~P1(f329(f329(f240(a1),f2(a1)),x99553))+P1(f329(f329(f240(a1),x99551),f329(f329(f82(a1),x99552),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x99552),x99551))),f80(a1))),x99553))))
% 192.24/192.22 [9967]~P44(x99671,f329(f329(f115(f917(f916(x99671,x99671),a904)),x99672),x99673))+P44(x99671,f329(f329(f115(f917(f916(x99671,x99671),a904)),f329(f329(f115(f917(f916(x99671,x99671),a904)),f329(f329(f291(x99671,x99671,x99671),x99672),x99672)),f329(f329(f291(x99671,x99671,x99671),x99673),x99672))),x99673))
% 192.24/192.22 [10040]P44(x100401,f329(f329(f115(f917(f916(x100401,x100401),a904)),x100402),x100403))+~P44(x100401,f329(f329(f115(f917(f916(x100401,x100401),a904)),f329(f329(f115(f917(f916(x100401,x100401),a904)),f329(f329(f291(x100401,x100401,x100401),x100402),x100402)),f329(f329(f291(x100401,x100401,x100401),x100403),x100402))),x100403))
% 192.24/192.22 [9617]~P129(x96171)+E(f329(f107(x96171),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x96172),x96173)),f191(f917(f916(a909,a909),a904)))))),f329(f329(f23(x96171),f329(f105(x96171),x96172)),f329(f105(x96171),x96173)))
% 192.24/192.22 [9699]P1(f329(x96993,x96992))+E(f329(f267(x96991),f329(f329(f18(x96991,a904,a904),f329(f329(f8(a904,f917(a904,a904),x96991),a327),f329(f329(f7(x96991,x96991,a904),a326),x96992))),x96993)),f191(f917(x96991,a904)))
% 192.24/192.22 [9701]~P1(f329(x97013,x97012))+E(f329(f267(x97011),f329(f329(f18(x97011,a904,a904),f329(f329(f8(a904,f917(a904,a904),x97011),a327),f329(f329(f7(x97011,x97011,a904),a326),x97012))),x97013)),f329(f329(f311(x97011),x97012),f191(f917(x97011,a904))))
% 192.24/192.22 [9934]E(x99341,x99342)+P1(f329(f329(f248(x99343,x99343,f329(f329(f8(f917(x99343,a904),f917(x99343,a904),x99343),f329(f8(a904,a904,x99343),a324)),a326)),x99341),x99342))
% 192.24/192.22 [10020]~E(x100201,x100202)+~P1(f329(f329(f248(x100203,x100203,f329(f329(f8(f917(x100203,a904),f917(x100203,a904),x100203),f329(f8(a904,a904,x100203),a324)),a326)),x100201),x100202))
% 192.24/192.22 [10032]~P1(f329(f62(x100321),x100323))+E(f329(f329(f65(x100321,f917(x100321,a904),f329(f329(f8(f917(x100321,a904),f917(f917(x100321,a904),f917(x100321,a904)),x100321),f329(f7(f917(x100321,a904),f917(x100321,a904),f917(x100321,a904)),f23(f917(x100321,a904)))),f329(f329(f7(x100321,f917(x100321,a904),f917(x100321,a904)),f311(x100321)),f191(f917(x100321,a904))))),x100322),x100323),f329(f329(f23(f917(x100321,a904)),x100322),x100323))
% 192.24/192.22 [10064]~P1(f329(f329(f240(a1),f2(a1)),x100643))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x100641),f329(f329(f83(a1),f329(f329(f82(a1),f329(f77(a1),f329(f329(f23(a1),x100641),x100642))),f80(a1))),x100643))),x100642))
% 192.24/192.22 [10305]~P1(f329(f329(f331(x103051),x103053),f318(x103051,x103052)))+P1(f329(f317(x103051,f329(f329(f7(x103051,f917(f916(x103051,x103051),a904),f917(x103051,a904)),f329(f329(f8(f917(x103051,f917(f917(f916(x103051,x103051),a904),a904)),f917(f917(f916(x103051,x103051),a904),f917(x103051,a904)),x103051),f7(x103051,f917(f916(x103051,x103051),a904),a904)),f329(f329(f8(f917(x103051,f916(x103051,x103051)),f917(x103051,f917(f917(f916(x103051,x103051),a904),a904)),x103051),f329(f8(f916(x103051,x103051),f917(f917(f916(x103051,x103051),a904),a904),x103051),f331(f916(x103051,x103051)))),f257(x103051,x103051)))),x103052)),x103053))
% 192.24/192.22 [10318]P1(f329(f329(f331(x103181),x103182),f318(x103181,x103183)))+~P1(f329(f317(x103181,f329(f329(f7(x103181,f917(f916(x103181,x103181),a904),f917(x103181,a904)),f329(f329(f8(f917(x103181,f917(f917(f916(x103181,x103181),a904),a904)),f917(f917(f916(x103181,x103181),a904),f917(x103181,a904)),x103181),f7(x103181,f917(f916(x103181,x103181),a904),a904)),f329(f329(f8(f917(x103181,f916(x103181,x103181)),f917(x103181,f917(f917(f916(x103181,x103181),a904),a904)),x103181),f329(f8(f916(x103181,x103181),f917(f917(f916(x103181,x103181),a904),a904),x103181),f331(f916(x103181,x103181)))),f257(x103181,x103181)))),x103183)),x103182))
% 192.24/192.22 [9904]~P1(f329(f62(x99041),f329(f267(x99041),x99043)))+P1(f329(f62(x99041),f329(f267(x99041),f329(f329(f18(x99041,a904,a904),f329(f329(f8(a904,f917(a904,a904),x99041),a327),x99042)),x99043))))
% 192.24/192.22 [9905]~P1(f329(f62(x99051),f329(f267(x99051),x99052)))+P1(f329(f62(x99051),f329(f267(x99051),f329(f329(f18(x99051,a904,a904),f329(f329(f8(a904,f917(a904,a904),x99051),a327),x99052)),x99053))))
% 192.24/192.22 [9999]P1(f329(f62(x99991),f329(f267(x99991),x99992)))+~P1(f329(f62(x99991),f329(f267(x99991),f329(f329(f18(x99991,a904,a904),f329(f329(f8(a904,f917(a904,a904),x99991),a328),x99993)),x99992))))
% 192.24/192.22 [10000]P1(f329(f62(x100001),f329(f267(x100001),x100002)))+~P1(f329(f62(x100001),f329(f267(x100001),f329(f329(f18(x100001,a904,a904),f329(f329(f8(a904,f917(a904,a904),x100001),a328),x100002)),x100003))))
% 192.24/192.22 [10285]~P1(f329(f62(x102851),x102852))+P1(f329(f62(f910(x102851)),f329(f267(f910(x102851)),f329(f329(f18(f910(x102851),a904,a904),f329(f329(f8(a904,f917(a904,a904),f910(x102851)),a327),f329(f329(f7(f910(x102851),f917(x102851,a904),a904),f329(f329(f8(f917(x102851,a904),f917(f917(x102851,a904),a904),f910(x102851)),f239(f917(x102851,a904))),f175(x102851))),x102852))),f329(f329(f7(f910(x102851),a909,a904),f329(f329(f8(a909,f917(a909,a904),f910(x102851)),a326),f192(f910(x102851)))),x102853)))))
% 192.24/192.22 [10286]~P1(f329(f62(x102861),x102862))+P1(f329(f62(f910(x102861)),f329(f267(f910(x102861)),f329(f329(f18(f910(x102861),a904,a904),f329(f329(f8(a904,f917(a904,a904),f910(x102861)),a327),f329(f329(f7(f910(x102861),f917(x102861,a904),a904),f329(f329(f8(f917(x102861,a904),f917(f917(x102861,a904),a904),f910(x102861)),f239(f917(x102861,a904))),f175(x102861))),x102862))),f329(f329(f7(f910(x102861),a909,a904),f329(f329(f8(a909,f917(a909,a904),f910(x102861)),f239(a909)),f192(f910(x102861)))),x102863)))))
% 192.24/192.22 [10013]~P116(x100131)+E(f329(f329(f249(x100131),x100132),f329(f329(f83(a909),f329(f108(a909),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)))),x100133)),f329(f329(f83(x100131),f329(f329(f249(x100131),x100132),x100133)),f329(f329(f249(x100131),x100132),x100133)))
% 192.24/192.22 [10045]~P85(x100451)+E(f329(f329(f249(x100451),f329(f329(f249(x100451),x100452),x100453)),f329(f108(a909),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(x100451),x100452),f329(f329(f83(a909),f329(f108(a909),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)))),x100453)))
% 192.24/192.22 [10090]~P129(x100901)+E(f329(f329(f249(x100901),f329(f81(x100901),x100902)),f329(f329(f83(a909),f329(f108(a909),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)))),x100903)),f329(f329(f249(x100901),x100902),f329(f329(f83(a909),f329(f108(a909),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)))),x100903)))
% 192.24/192.22 [10233]~P120(x102331)+P1(f329(f329(f239(x102331),f2(x102331)),f329(f329(f82(x102331),f329(f329(f249(x102331),x102332),f329(f108(a909),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(x102331),x102333),f329(f108(a909),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)))))))
% 192.24/192.22 [10100]~P116(x101001)+E(f329(f329(f249(x101001),x101002),f329(a117,f329(f329(f83(a909),f329(f108(a909),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)))),x101003))),f329(f329(f83(x101001),x101002),f329(f329(f83(x101001),f329(f329(f249(x101001),x101002),x101003)),f329(f329(f249(x101001),x101002),x101003))))
% 192.24/192.22 [10149]~P85(x101491)+E(f329(f329(f83(x101491),x101492),f329(f329(f249(x101491),f329(f329(f249(x101491),x101492),x101493)),f329(f108(a909),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(x101491),x101492),f329(a117,f329(f329(f83(a909),f329(f108(a909),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)))),x101493))))
% 192.24/192.22 [10187]~P120(x101871)+P1(f329(f329(f239(x101871),f2(x101871)),f329(f329(f249(x101871),x101872),f329(f329(f83(a909),f329(f108(a909),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)))),x101873))))
% 192.24/192.22 [10263]~P96(x102631)+E(f329(f329(f82(x102631),f329(f329(f82(x102631),f329(f329(f249(x102631),x102632),f329(f108(a909),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(a909),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(f82(x102631),x102632),x102633)),f329(f108(a909),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)))))
% 192.24/192.22 [10264]~P96(x102641)+E(f329(f329(f23(x102641),f329(f329(f82(x102641),f329(f329(f249(x102641),x102642),f329(f108(a909),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(x102641),x102643),f329(f108(a909),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(x102641),f329(f329(f83(x102641),f329(f108(x102641),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)))),x102642)),x102643)),f329(f329(f249(x102641),f329(f329(f23(x102641),x102642),x102643)),f329(f108(a909),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)))))
% 192.24/192.22 [4781]E(x47811,x47812)+~E(f32(x47813,x47811),f32(x47814,x47812))
% 192.24/192.22 [4782]E(x47821,x47822)+~E(f32(x47821,x47823),f32(x47822,x47824))
% 192.24/192.22 [4783]E(x47831,x47832)+~E(f31(x47833,x47831),f31(x47834,x47832))
% 192.24/192.22 [4784]E(x47841,x47842)+~E(f31(x47841,x47843),f31(x47842,x47844))
% 192.24/192.22 [5938]P49(f31(x59381,x59383),x59382,x59384,x59382)+P1(f329(x59381,x59382))
% 192.24/192.22 [7062]~P49(x70621,x70622,x70623,x70624)+P49(x70621,x70622,f329(a117,x70623),x70624)
% 192.24/192.22 [7894]P31(x78941,x78942,x78943,x78944)+~E(f519(x78944,x78943,x78942,x78941),f520(x78944,x78943,x78942,x78941))
% 192.24/192.22 [8200]P41(x82001,x82002,x82003,x82004,f118(x82002))+~E(x82004,f118(x82001))
% 192.24/192.22 [8201]P41(x82011,x82012,x82013,f118(x82011),x82014)+~E(x82014,f118(x82012))
% 192.24/192.22 [8751]~P41(x87512,x87513,x87514,x87511,f118(x87513))+E(x87511,f118(x87512))
% 192.24/192.22 [8752]~P41(x87523,x87522,x87524,f118(x87523),x87521)+E(x87521,f118(x87522))
% 192.24/192.22 [5163]~P23(x51633,x51631,x51634)+E(f329(f329(x51631,x51632),x51632),x51632)
% 192.24/192.22 [5419]P1(f329(x54192,x54194))+E(f329(f139(x54191,x54192),f172(x54191,x54193,x54194)),f118(x54191))
% 192.24/192.22 [5456]~E(x54564,f191(f917(x54561,a904)))+E(f329(f312(x54561,x54562,x54563),x54564),f191(f917(x54562,a904)))
% 192.24/192.22 [5696]~P1(f329(x56962,x56964))+E(f329(f139(x56961,x56962),f172(x56961,x56963,x56964)),f172(x56961,x56963,x56964))
% 192.24/192.22 [5725]~E(f329(f312(x57252,x57253,x57254),x57251),f191(f917(x57253,a904)))+E(x57251,f191(f917(x57252,a904)))
% 192.24/192.22 [6017]~P112(x60172)+E(f329(f329(f151(x60171,x60172,x60173),x60174),f118(x60171)),f329(f329(f154(x60171),x60174),f118(x60171)))
% 192.24/192.22 [6377]~E(x63771,f191(f917(x63772,a904)))+~P1(f329(f63(x63772,x63773,x63771),x63774))
% 192.24/192.22 [6399]~P67(x63991,x63993,x63994,x63992)+P1(f329(f62(x63991),x63992))
% 192.24/192.22 [6401]~P67(x64011,x64013,x64012,x64014)+P1(f329(f62(x64011),x64012))
% 192.24/192.22 [6408]~P67(x64082,x64083,x64084,x64081)+~E(x64081,f191(f917(x64082,a904)))
% 192.24/192.22 [6439]~P113(x64391)+E(f329(f329(f106(f917(x64391,a904)),f329(f304(x64391,x64392),x64393)),f305(x64391,x64393,x64394)),f191(f917(x64391,a904)))
% 192.24/192.22 [6466]~P1(f329(f329(x64663,x64664),x64662))+P1(f329(f329(f331(x64661),x64662),f295(x64661,x64663,x64664)))
% 192.24/192.22 [6467]~P1(f329(f329(x64673,x64674),x64672))+P1(f329(f329(f331(x64671),x64672),f296(x64671,x64673,x64674)))
% 192.24/192.22 [6468]~P1(f329(f329(x64683,x64682),x64684))+P1(f329(f329(f331(x64681),x64682),f297(x64681,x64683,x64684)))
% 192.24/192.22 [6469]~P1(f329(f329(x64693,x64692),x64694))+P1(f329(f329(f331(x64691),x64692),f300(x64691,x64693,x64694)))
% 192.24/192.22 [6613]~P113(x66131)+E(f329(f329(f106(f917(x66131,a904)),f308(x66131,x66132,x66133)),f305(x66131,x66133,x66134)),f191(f917(x66131,a904)))
% 192.24/192.22 [6614]~P113(x66141)+E(f329(f329(f106(f917(x66141,a904)),f307(x66141,x66142,x66143)),f308(x66141,x66143,x66144)),f191(f917(x66141,a904)))
% 192.24/192.22 [6615]~P113(x66151)+E(f329(f329(f106(f917(x66151,a904)),f307(x66151,x66152,x66153)),f307(x66151,x66153,x66154)),f191(f917(x66151,a904)))
% 192.24/192.22 [6616]~P113(x66161)+E(f329(f329(f106(f917(x66161,a904)),f305(x66161,x66162,x66163)),f308(x66161,x66163,x66164)),f191(f917(x66161,a904)))
% 192.24/192.22 [6617]~P113(x66171)+E(f329(f329(f106(f917(x66171,a904)),f305(x66171,x66172,x66173)),f307(x66171,x66173,x66174)),f191(f917(x66171,a904)))
% 192.24/192.22 [6654]P1(f329(f329(x66541,x66542),f540(x66542,x66541)))+~P1(f329(f254(x66543,x66544,x66541),x66542))
% 192.24/192.22 [6734]~P112(x67342)+E(f329(f175(x67341),f153(x67341,x67342,x67343,x67344)),f329(f175(x67341),x67344))
% 192.24/192.22 [6785]~P109(x67851)+E(f193(x67851,x67852,f329(a117,x67853),x67854),f193(x67851,x67852,x67853,f329(x67852,x67854)))
% 192.24/192.22 [6845]~P1(f329(f329(f331(x68454),x68453),f295(x68454,x68451,x68452)))+P1(f329(f329(x68451,x68452),x68453))
% 192.24/192.22 [6846]~P1(f329(f329(f331(x68464),x68463),f296(x68464,x68461,x68462)))+P1(f329(f329(x68461,x68462),x68463))
% 192.24/192.22 [6847]~P1(f329(f329(f331(x68474),x68472),f297(x68474,x68471,x68473)))+P1(f329(f329(x68471,x68472),x68473))
% 192.24/192.22 [6848]~P1(f329(f329(f331(x68484),x68482),f300(x68484,x68481,x68483)))+P1(f329(f329(x68481,x68482),x68483))
% 192.24/192.22 [6923]E(f329(f36(f915(x69231,x69232)),f315(x69231,x69232,x69233,x69234)),f2(a909))+P1(f329(f62(x69232),x69234))
% 192.24/192.22 [6924]E(f329(f36(f915(x69241,x69242)),f315(x69241,x69242,x69243,x69244)),f2(a909))+P1(f329(f62(x69241),x69243))
% 192.24/192.22 [7124]~P20(x71244,x71241,x71242)+E(f329(f74(x71241,x71241,x71241,f329(x71242,x71243)),f329(x71242,x71243)),f329(x71242,x71243))
% 192.24/192.22 [7366]E(f280(x73661,x73662,x73663,x73664),f329(f257(f917(a104,f917(a904,f913(f911(x73661)))),f916(a104,a104)),f42(x73661)))+~P1(f329(f329(f239(a104),x73663),f2(a104)))
% 192.24/192.22 [7428]~P49(f329(a26,x74281),x74282,f329(a117,x74283),x74284)+P49(f329(f236(a905),f329(a27,x74281)),x74282,x74283,x74284)
% 192.24/192.22 [7463]P49(f329(a26,x74631),x74632,f329(a117,x74633),x74634)+~P49(f329(f236(a905),f329(a27,x74631)),x74632,x74633,x74634)
% 192.24/192.22 [7750]~P49(f329(a26,x77504),x77503,x77502,x77501)+E(f329(a117,f370(x77501,x77502,x77503,x77504)),x77502)
% 192.24/192.22 [8022]~E(x80222,x80223)+P1(f329(f329(f331(f916(x80221,x80221)),f329(f329(f257(x80221,x80221),x80222),x80223)),f309(x80221,x80224)))
% 192.24/192.22 [8051]~P31(x80511,x80512,x80513,f247(f917(x80511,a904)))+E(f329(f79(x80511,x80512,f247(f917(x80511,a904)),x80513),f329(x80513,x80514)),x80514)
% 192.24/192.22 [8052]~P31(x80521,x80522,x80523,f247(f917(x80521,a904)))+E(f329(f94(x80521,x80522,f247(f917(x80521,a904)),x80523),f329(x80523,x80524)),x80524)
% 192.24/192.22 [8145]~P1(f329(f329(f331(f910(x81451)),f329(f329(f154(x81451),x81454),x81452)),f164(x81451,x81453)))+P1(f329(f329(f331(f910(x81451)),x81452),f164(x81451,x81453)))
% 192.24/192.22 [8146]~P1(f329(f329(f331(f910(x81461)),f329(f329(f137(x81461),x81464),x81462)),f164(x81461,x81463)))+P1(f329(f329(f331(f910(x81461)),x81462),f164(x81461,x81463)))
% 192.24/192.22 [8147]~P1(f329(f329(f331(f910(x81471)),f329(f329(f137(x81471),x81472),x81474)),f164(x81471,x81473)))+P1(f329(f329(f331(f910(x81471)),x81472),f164(x81471,x81473)))
% 192.24/192.22 [8163]~P112(x81631)+P19(x81631,f329(f329(f157(x81632,x81631),x81633),f153(x81632,x81631,x81633,x81634)))
% 192.24/192.22 [8231]~P49(f329(a26,x82311),x82312,x82314,x82313)+P49(f329(f236(a905),f329(a27,x82311)),x82312,f370(x82313,x82314,x82312,x82311),x82313)
% 192.24/192.22 [8265]P31(x82654,x82653,x82651,x82652)+E(f329(x82651,f519(x82652,x82651,x82653,x82654)),f329(x82651,f520(x82652,x82651,x82653,x82654)))
% 192.24/192.22 [8373]~P31(x83732,x83731,x83734,x83733)+P31(x83731,x83732,f79(x83732,x83731,x83733,x83734),f329(f312(x83732,x83731,x83734),x83733))
% 192.24/192.22 [8514]P44(f916(x85142,x85144),f283(x85142,x85144,x85141,x85143))+P1(f329(x85141,f534(x85142,x85143,x85144,x85141)))
% 192.24/192.22 [8641]E(x86411,x86412)+~P1(f329(f329(f331(f916(x86413,x86413)),f329(f329(f257(x86413,x86413),x86411),x86412)),f268(x86413,x86414)))
% 192.24/192.22 [8706]~P1(f329(f62(f915(x87063,x87061)),f315(x87063,x87061,x87064,x87062)))+P1(f329(f62(x87061),x87062))
% 192.24/192.22 [8707]~P1(f329(f62(f915(x87071,x87073)),f315(x87071,x87073,x87072,x87074)))+P1(f329(f62(x87071),x87072))
% 192.24/192.22 [8884]P44(f916(x88841,x88842),f283(x88841,x88842,x88843,x88844))+~P44(x88842,f329(x88844,f534(x88841,x88844,x88842,x88843)))
% 192.24/192.22 [9456]E(f329(f329(f162(x94561,x94562),f692(x94563,x94564,x94562,x94561)),f693(x94563,x94564,x94562,x94561)),x94564)+~P1(f329(f329(f331(f916(f910(x94561),f910(x94561))),f329(f329(f257(f910(x94561),f910(x94561)),x94562),x94564)),f160(x94561,x94563)))
% 192.24/192.22 [9461]~P1(f329(f329(f331(f916(f910(x94611),f910(x94611))),f329(f329(f257(f910(x94611),f910(x94611)),x94612),x94613)),f148(x94611,x94614)))+P1(f329(f329(f331(f916(f910(x94611),f910(x94611))),f329(f329(f257(f910(x94611),f910(x94611)),x94612),x94613)),f150(x94611,x94614)))
% 192.24/192.22 [9570]P1(f329(f62(x95701),x95702))+~P1(f329(f329(f331(f916(f917(x95701,a904),f917(x95701,a904))),f329(f329(f257(f917(x95701,a904),f917(x95701,a904)),x95703),x95702)),f320(x95701,x95704)))
% 192.24/192.22 [9571]P1(f329(f62(x95711),x95712))+~P1(f329(f329(f331(f916(f917(x95711,a904),f917(x95711,a904))),f329(f329(f257(f917(x95711,a904),f917(x95711,a904)),x95712),x95713)),f320(x95711,x95714)))
% 192.24/192.22 [9574]~E(x95741,f191(f917(x95742,a904)))+~P1(f329(f329(f331(f916(f917(x95742,a904),f917(x95742,a904))),f329(f329(f257(f917(x95742,a904),f917(x95742,a904)),x95743),x95741)),f320(x95742,x95744)))
% 192.24/192.22 [10198]P17(x101981,x101982,x101983,x101984)+~P1(f329(f329(f262(x101981,x101981,a904),f329(f329(f7(x101981,f917(x101981,x101982),f917(x101981,a904)),f329(f329(f8(f917(x101982,a904),f917(f917(x101981,x101982),f917(x101981,a904)),x101981),f8(x101982,a904,x101981)),f329(f329(f8(x101982,f917(x101982,a904),x101981),a326),x101984))),x101984)),f565(x101984,x101983,x101982,x101981)))
% 192.24/192.22 [5064]~E(x50642,f118(x50641))+E(f329(f329(f162(x50641,x50642),x50643),x50644),f118(x50641))
% 192.24/192.22 [5065]~E(x50654,f118(x50651))+E(f329(f329(f157(x50651,x50652),x50653),x50654),f118(x50652))
% 192.24/192.22 [5302]E(x53021,f118(x53022))+~E(f329(f329(f157(x53022,x53023),x53024),x53021),f118(x53023))
% 192.24/192.22 [5303]E(x53031,f118(x53032))+~E(f329(f329(f162(x53032,x53031),x53033),x53034),f118(x53032))
% 192.24/192.22 [5339]E(x53391,x53392)+~E(f329(f329(f137(x53393),x53394),x53391),f329(f329(f137(x53393),x53394),x53392))
% 192.24/192.22 [5340]E(x53401,x53402)+~E(f329(f329(f137(x53403),x53401),x53404),f329(f329(f137(x53403),x53402),x53404))
% 192.24/192.22 [5492]P1(f329(x54923,x54922))+E(f173(x54921,x54922,f329(f139(x54921,x54923),x54924)),f329(f139(x54921,x54923),x54924))
% 192.24/192.22 [5494]~P1(f329(x54942,x54943))+P40(x54941,x54942,f329(f329(f154(x54941),x54943),x54944))
% 192.24/192.22 [5503]E(x55031,x55032)+~E(f142(a909,f329(f304(a909,x55031),x55033)),f329(f329(f154(a909),x55032),x55034))
% 192.24/192.22 [5549]~P33(x55492,x55493)+P33(x55491,f329(f329(f75(x55492,x55491),x55493),x55494))
% 192.24/192.22 [5550]~P44(x55502,x55503)+P44(x55501,f329(f329(f290(x55502,x55501),x55503),x55504))
% 192.24/192.22 [5551]~P45(x55512,x55513)+P45(x55511,f329(f329(f290(x55512,x55511),x55513),x55514))
% 192.24/192.22 [5552]~P60(x55522,x55523)+P60(x55521,f329(f329(f290(x55522,x55521),x55523),x55524))
% 192.24/192.22 [5680]~P40(x56801,x56802,x56804)+P40(x56801,x56802,f329(f329(f154(x56801),x56803),x56804))
% 192.24/192.22 [5681]~P40(x56811,x56812,x56814)+P40(x56811,x56812,f329(f329(f137(x56811),x56813),x56814))
% 192.24/192.22 [5682]~P40(x56821,x56822,x56823)+P40(x56821,x56822,f329(f329(f137(x56821),x56823),x56824))
% 192.24/192.22 [5769]~E(x57691,f118(x57692))+~E(f329(f329(f137(x57692),x57693),f329(f329(f154(x57692),x57694),f118(x57692))),x57691)
% 192.24/192.22 [5795]~P38(x57953,x57951,f329(f329(f154(x57953),x57952),x57954))+P1(f329(x57951,x57952))
% 192.24/192.22 [5805]E(f119(x58051,x58052),x58053)+~E(f329(f329(f137(x58051),x58053),f329(f329(f154(x58051),x58054),f118(x58051))),x58052)
% 192.24/192.22 [5806]E(f147(x58061,x58062),x58063)+~E(f329(f329(f137(x58061),x58064),f329(f329(f154(x58061),x58063),f118(x58061))),x58062)
% 192.24/192.22 [5914]~E(f142(a909,f329(f304(a909,x59141),x59142)),f329(f329(f154(a909),x59143),x59144))+P1(f329(f329(f240(a909),x59141),x59142))
% 192.24/192.22 [5923]P38(x59231,x59232,x59233)+~P38(x59231,x59232,f329(f329(f154(x59231),x59234),x59233))
% 192.24/192.22 [5924]P38(x59241,x59242,x59243)+~P38(x59241,x59242,f329(f329(f137(x59241),x59244),x59243))
% 192.24/192.22 [5925]P38(x59251,x59252,x59253)+~P38(x59251,x59252,f329(f329(f137(x59251),x59253),x59254))
% 192.24/192.22 [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))
% 192.24/192.22 [6298]~P113(x62981)+E(f329(f329(f106(f917(x62981,a904)),f329(f304(x62981,x62982),x62983)),f329(f304(x62981,x62983),x62984)),f191(f917(x62981,a904)))
% 192.24/192.22 [6310]E(f329(f329(f167(x63101),f172(x63101,x63102,x63103)),x63104),x63103)+~P1(f329(f329(f240(a909),x63104),x63102))
% 192.24/192.22 [6337]~P77(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))))
% 192.24/192.22 [6338]~P77(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))))
% 192.24/192.22 [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))
% 192.24/192.22 [6497]~P25(x64972,x64973,x64974,x64971)+E(f329(x64971,f191(f917(x64972,a904))),f33(x64973))
% 192.24/192.22 [6524]~P113(x65241)+E(f329(f329(f106(f917(x65241,a904)),f308(x65241,x65242,x65243)),f329(f304(x65241,x65243),x65244)),f191(f917(x65241,a904)))
% 192.24/192.22 [6606]~P49(x66061,x66062,x66064,x66063)+P1(f329(f329(f197(x66061),x66062),x66063))
% 192.24/192.22 [6735]E(x67351,f191(f917(x67352,a904)))+~E(f315(x67353,x67352,x67354,x67351),f191(f917(f915(x67353,x67352),a904)))
% 192.24/192.22 [6736]E(x67361,f191(f917(x67362,a904)))+~E(f315(x67362,x67363,x67361,x67364),f191(f917(f915(x67362,x67363),a904)))
% 192.24/192.22 [6806]~P112(x68062)+E(f329(f192(f910(x68061)),f153(x68061,x68062,x68063,x68064)),f329(f192(f910(x68061)),x68064))
% 192.24/192.22 [6817]~P1(f329(f255(x68173,x68174,x68171),x68172))+P1(f329(f329(x68171,f541(x68172,x68171)),x68172))
% 192.24/192.22 [6856]~P1(f329(f62(x68562),x68564))+P1(f329(f62(x68561),f329(f312(x68562,x68561,x68563),x68564)))
% 192.24/192.22 [7085]~P31(x70852,x70851,x70853,x70854)+E(f329(f36(x70851),f329(f312(x70852,x70851,x70853),x70854)),f329(f36(x70852),x70854))
% 192.24/192.22 [7103]E(f329(f312(x71031,x71032,x71033),f329(f313(x71031,x71032,x71033),x71034)),x71034)+~E(f329(f312(x71031,x71032,x71033),f247(f917(x71031,a904))),f247(f917(x71032,a904)))
% 192.24/192.22 [7522]~P31(x75221,x75222,x75223,f247(f917(x75221,a904)))+E(f329(f313(x75221,x75222,x75223),f329(f312(x75221,x75222,x75223),x75224)),x75224)
% 192.24/192.22 [7809]E(x78091,x78092)+~P1(f329(f329(f331(x78093),x78091),f329(f175(x78093),f172(x78093,x78094,x78092))))
% 192.24/192.22 [7818]~E(x78181,f2(a909))+~P1(f329(f329(f331(x78182),x78183),f329(f175(x78182),f172(x78182,x78181,x78184))))
% 192.24/192.22 [7852]P1(f329(x78521,x78522))+~P1(f329(f329(f331(x78523),x78522),f329(f175(x78523),f180(x78523,x78521,x78524))))
% 192.24/192.22 [7968]~P1(f329(f329(f331(f910(x79681)),f329(f329(f154(x79681),x79682),x79684)),f164(x79681,x79683)))+P1(f329(f329(f331(x79681),x79682),x79683))
% 192.24/192.22 [8099]~P1(f329(f329(f331(x80991),x80992),f329(f175(x80991),f179(x80991,x80993,x80994))))+P1(f329(f329(f331(x80991),x80992),f329(f175(x80991),x80993)))
% 192.24/192.22 [8100]~P1(f329(f329(f331(x81001),x81002),f329(f175(x81001),f173(x81001,x81004,x81003))))+P1(f329(f329(f331(x81001),x81002),f329(f175(x81001),x81003)))
% 192.24/192.22 [8101]~P1(f329(f329(f331(x81011),x81012),f329(f175(x81011),f180(x81011,x81014,x81013))))+P1(f329(f329(f331(x81011),x81012),f329(f175(x81011),x81013)))
% 192.24/192.22 [8111]E(f329(f192(f910(x81111)),x81112),x81113)+~P1(f329(f329(f331(f910(x81111)),x81112),f329(f175(f910(x81111)),f56(x81111,x81113,x81114))))
% 192.24/192.22 [8215]P1(f329(x82153,x82152))+E(f329(f139(x82151,f329(f329(f8(a904,a904,x82151),a324),f329(a326,x82152))),f329(f139(x82151,x82153),x82154)),f329(f139(x82151,x82153),x82154))
% 192.24/192.22 [8324]E(f329(f329(f167(x83241),f180(x83241,x83242,x83243)),x83244),f329(f329(f167(x83241),x83243),x83244))+~P1(f329(f329(f240(a909),x83244),f329(f192(f910(x83241)),f180(x83241,x83242,x83243))))
% 192.24/192.22 [8411]~P77(x84111)+E(f329(f329(f6(a909,x84111),f329(f329(f8(a909,x84111,a909),x84112),a117)),f329(f304(a909,x84113),x84114)),f329(f329(f6(a909,x84111),x84112),f329(f304(a909,f329(a117,x84113)),f329(a117,x84114))))
% 192.24/192.22 [8421]~P77(x84211)+E(f329(f329(f6(a909,x84211),f329(f329(f8(a909,x84211,a909),x84212),a117)),f305(a909,x84213,x84214)),f329(f329(f6(a909,x84211),x84212),f305(a909,f329(a117,x84213),f329(a117,x84214))))
% 192.24/192.22 [8551]~P31(x85511,x85513,x85514,f247(f917(x85511,a904)))+P31(x85511,f917(x85512,x85513),f329(f329(f8(x85513,f917(x85512,x85513),x85511),f16(x85513,x85512)),x85514),f247(f917(x85511,a904)))
% 192.24/192.22 [8649]~P31(x86492,x86491,x86494,x86493)+E(f329(f312(x86491,x86492,f79(x86492,x86491,x86493,x86494)),f329(f312(x86492,x86491,x86494),x86493)),x86493)
% 192.24/192.22 [8708]~P1(f329(f329(f331(f916(x87081,x87081)),f329(f329(f257(x87081,x87081),x87082),x87084)),f268(x87081,x87083)))+P1(f329(f329(f331(x87081),x87082),x87083))
% 192.24/192.22 [8821]~P31(x88212,x88211,x88213,f247(f917(x88212,a904)))+E(f329(f312(x88211,x88212,f94(x88212,x88211,f247(f917(x88212,a904)),x88213)),f329(f312(x88212,x88211,x88213),x88214)),x88214)
% 192.24/192.22 [8923]~E(f329(f329(f6(x89231,a909),x89234),x89233),f329(a117,x89232))+P1(f329(f329(f331(x89231),f890(x89232,x89233,x89234,x89231)),x89233))
% 192.24/192.22 [8942]~E(f329(f329(f6(x89424,a909),x89421),x89423),f329(a117,x89422))+P1(f329(f329(f240(a909),f2(a909)),f329(x89421,f890(x89422,x89423,x89421,x89424))))
% 192.24/192.22 [8953]~P1(f329(f62(x89532),x89534))+P1(f329(f329(f239(a909),f329(f36(x89531),f329(f312(x89532,x89531,x89533),x89534))),f329(f36(x89532),x89534)))
% 192.24/192.22 [8954]E(f329(f329(f257(x89541,x89542),f664(x89543,x89544,x89542,x89541)),f665(x89543,x89544,x89542,x89541)),x89544)+~P1(f329(f329(f331(f916(x89541,x89542)),x89544),f329(f289(x89542,x89541),x89543)))
% 192.24/192.22 [8962]P31(x89621,x89622,x89623,x89624)+P1(f329(f329(f331(x89621),f519(x89624,x89623,x89622,x89621)),x89624))
% 192.24/192.22 [8963]P31(x89631,x89632,x89633,x89634)+P1(f329(f329(f331(x89631),f520(x89634,x89633,x89632,x89631)),x89634))
% 192.24/192.22 [9031]P17(x90311,x90312,x90313,x90314)+P1(f329(f329(f331(f916(x90311,x90311)),f565(x90314,x90313,x90312,x90311)),x90313))
% 192.24/192.22 [9089]P1(f329(x90891,x90892))+~P1(f329(x90891,f329(f329(f257(x90893,x90894),f488(x90894,x90893,x90891)),f489(x90894,x90893,x90891))))
% 192.24/192.22 [9105]E(f329(f192(f910(x91051)),x91052),f329(f192(f910(x91051)),x91053))+~P1(f329(f329(f331(f916(f910(x91051),f910(x91051))),f329(f329(f257(f910(x91051),f910(x91051)),x91052),x91053)),f148(x91051,x91054)))
% 192.24/192.22 [9106]E(f329(f192(f910(x91061)),x91062),f329(f192(f910(x91061)),x91063))+~P1(f329(f329(f331(f916(f910(x91061),f910(x91061))),f329(f329(f257(f910(x91061),f910(x91061)),x91062),x91063)),f160(x91061,x91064)))
% 192.24/192.22 [9109]E(f329(f192(f910(x91091)),x91092),f329(f192(f910(x91091)),x91093))+~P1(f329(f329(f331(f916(f910(x91091),f910(x91091))),f329(f329(f257(f910(x91091),f910(x91091)),x91092),x91093)),f161(x91091,x91094)))
% 192.24/192.22 [9182]P1(f329(f329(f239(a909),f158(x91821,x91822,x91823)),f158(x91821,x91824,x91823)))+P1(f329(f329(f331(x91821),f691(x91824,x91822,x91823,x91821)),f329(f175(x91821),x91823)))
% 192.24/192.22 [9185]E(f329(f192(f910(x91851)),x91852),f329(f192(f910(x91851)),x91853))+~P1(f329(f329(f331(f916(f910(x91851),f910(x91851))),f329(f329(f257(f910(x91851),f910(x91851)),x91852),x91853)),f309(f910(x91851),f160(x91851,x91854))))
% 192.24/192.22 [9427]~P31(x94271,x94272,x94273,x94274)+~P1(f329(f329(f240(a909),f329(f36(x94272),f329(f312(x94271,x94272,x94273),x94274))),f329(f36(x94271),x94274)))
% 192.24/192.22 [9474]~P1(f329(f329(f331(f916(f910(x94741),f910(x94741))),f329(f329(f257(f910(x94741),f910(x94741)),x94742),x94743)),f160(x94741,x94744)))+P1(f329(f329(f331(f916(f910(x94741),f910(x94741))),f329(f329(f257(f910(x94741),f910(x94741)),x94742),x94743)),f161(x94741,f309(x94741,x94744))))
% 192.24/192.22 [9478]~P1(f329(f329(f331(f916(f910(x94781),f910(x94781))),f329(f329(f257(f910(x94781),f910(x94781)),x94782),x94783)),f161(x94781,x94784)))+P1(f329(f329(f331(f916(f910(x94781),f910(x94781))),f329(f329(f257(f910(x94781),f910(x94781)),x94782),x94783)),f309(f910(x94781),f160(x94781,x94784))))
% 192.24/192.22 [9494]P1(f329(f329(f331(f916(x94941,x94941)),f329(f329(f257(x94941,x94941),x94942),x94943)),f309(x94941,x94944)))+~P1(f329(f329(f331(f916(x94941,x94941)),f329(f329(f257(x94941,x94941),x94942),x94943)),f329(f329(f291(x94941,x94941,x94941),x94944),f309(x94941,x94944))))
% 192.24/192.22 [9680]E(f329(f329(f137(x96801),f707(x96802,x96803,x96804,x96801)),f329(f329(f154(x96801),f708(x96802,x96803,x96804,x96801)),f710(x96802,x96803,x96804,x96801))),x96804)+~P1(f329(f329(f331(f916(f910(x96801),f910(x96801))),f329(f329(f257(f910(x96801),f910(x96801)),x96804),x96803)),f160(x96801,x96802)))
% 192.24/192.22 [9681]E(f329(f329(f137(x96811),f707(x96812,x96813,x96814,x96811)),f329(f329(f154(x96811),f709(x96812,x96813,x96814,x96811)),f710(x96812,x96813,x96814,x96811))),x96813)+~P1(f329(f329(f331(f916(f910(x96811),f910(x96811))),f329(f329(f257(f910(x96811),f910(x96811)),x96814),x96813)),f160(x96811,x96812)))
% 192.24/192.22 [9761]P1(f329(f329(f331(f916(x97611,x97611)),f329(f329(f257(x97611,x97611),x97612),f626(x97613,x97614,x97612,x97611))),f309(x97611,x97613)))+~P1(f329(f329(f331(f916(x97611,x97611)),f329(f329(f257(x97611,x97611),x97612),x97614)),f329(f329(f291(x97611,x97611,x97611),x97613),f309(x97611,x97613))))
% 192.24/192.22 [9829]P1(f329(f329(f239(a909),f158(x98291,x98292,x98293)),f158(x98291,x98294,x98293)))+~P1(f329(f329(f240(a909),f329(x98292,f691(x98294,x98292,x98293,x98291))),f329(x98294,f691(x98294,x98292,x98293,x98291))))
% 192.24/192.22 [9900]P1(f329(f329(f331(f916(x99001,x99001)),f329(f329(f257(x99001,x99001),f619(x99002,x99003,x99004,x99001)),x99003)),f309(x99001,x99002)))+~P1(f329(f329(f331(f916(x99001,x99001)),f329(f329(f257(x99001,x99001),x99004),x99003)),f329(f329(f291(x99001,x99001,x99001),x99002),f309(x99001,x99002))))
% 192.24/192.22 [5321]~E(x53212,x53213)+E(f173(x53211,x53212,f329(f329(f154(x53211),x53213),x53214)),x53214)
% 192.24/192.22 [5449]P1(f329(x54492,x54493))+E(f180(x54491,x54492,f329(f329(f154(x54491),x54493),x54494)),f118(x54491))
% 192.24/192.22 [5515]~P92(x55152)+E(f329(f329(f81(f917(x55151,x55152)),x55153),x55154),f329(f81(x55152),f329(x55153,x55154)))
% 192.24/192.22 [5526]~E(x55262,f2(a909))+E(f329(f329(f141(x55261),x55262),f329(f329(f154(x55261),x55263),x55264)),f329(f329(f154(x55261),x55263),x55264))
% 192.24/192.22 [5527]P1(f329(x55272,x55273))+E(f329(f139(x55271,x55272),f329(f329(f154(x55271),x55273),x55274)),f329(f139(x55271,x55272),x55274))
% 192.24/192.22 [5663]~E(x56632,x56634)+P1(f329(f329(f329(f311(x56631),x56632),x56633),x56634))
% 192.24/192.22 [5671]E(x56711,f118(x56712))+E(f147(x56713,f329(f329(f157(x56712,x56713),x56714),x56711)),f329(x56714,f147(x56712,x56711)))
% 192.24/192.22 [5685]~E(x56851,f64(x56852,x56854))+E(f329(x56851,f329(f329(f311(x56852),x56853),f191(f917(x56852,a904)))),x56853)
% 192.24/192.22 [5720]E(x57201,f118(x57202))+E(f329(f144(x57203),f329(f329(f157(x57202,x57203),x57204),x57201)),f329(x57204,f329(f144(x57202),x57201)))
% 192.24/192.22 [5825]~P1(f329(x58253,x58254))+P1(f329(f329(f329(f311(x58251),x58252),x58253),x58254))
% 192.24/192.22 [5944]~P24(x59442,x59444,x59441)+E(f329(x59441,f329(f329(f311(x59442),x59443),f191(f917(x59442,a904)))),x59443)
% 192.24/192.22 [5971]~E(x59712,x59713)+P1(f329(f329(f331(x59711),x59712),f329(f329(f311(x59711),x59713),x59714)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [5984]~P112(x59841)+E(f329(f329(f237(x59841),x59842),f329(f329(f237(x59841),x59843),x59844)),f329(f329(f237(x59841),x59843),f329(f329(f237(x59841),x59842),x59844)))
% 192.24/192.22 [5986]~P112(x59861)+E(f329(f329(f238(x59861),x59862),f329(f329(f238(x59861),x59863),x59864)),f329(f329(f238(x59861),x59863),f329(f329(f238(x59861),x59862),x59864)))
% 192.24/192.22 [5991]E(x59911,x59912)+E(f173(x59913,x59911,f329(f329(f154(x59913),x59912),x59914)),f329(f329(f154(x59913),x59912),f173(x59913,x59911,x59914)))
% 192.24/192.22 [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)))
% 192.24/192.22 [6143]~P1(f329(x61432,x61433))+E(f180(x61431,x61432,f329(f329(f154(x61431),x61433),x61434)),f329(f329(f154(x61431),x61433),f180(x61431,x61432,x61434)))
% 192.24/192.22 [6193]P30(x61931,x61932,x61933)+~P30(x61931,x61932,f329(f329(f311(f908(x61931)),x61934),x61933))
% 192.24/192.22 [6209]E(x62091,f191(f917(x62092,a904)))+E(f329(f329(f40(x62092,f917(x62093,a904)),x62091),f329(f16(f917(x62093,a904),x62092),x62094)),x62094)
% 192.24/192.22 [6210]E(x62101,f191(f917(x62102,a904)))+E(f329(f329(f41(x62102,f917(x62103,a904)),x62101),f329(f16(f917(x62103,a904),x62102),x62104)),x62104)
% 192.24/192.22 [6219]~E(x62194,f191(f917(x62192,a904)))+E(f329(f329(f259(x62191,x62192),x62193),f329(f16(f917(x62192,a904),x62191),x62194)),f191(f917(f916(x62191,x62192),a904)))
% 192.24/192.22 [6220]~E(x62203,f191(f917(x62201,a904)))+E(f329(f329(f259(x62201,x62202),x62203),f329(f16(f917(x62202,a904),x62201),x62204)),f191(f917(f916(x62201,x62202),a904)))
% 192.24/192.22 [6271]E(x62711,f2(a909))+E(f329(f329(f141(x62712),x62711),f329(f329(f154(x62712),x62713),x62714)),f329(f329(f141(x62712),f329(f329(f23(a909),x62711),f80(a909))),x62714))
% 192.24/192.22 [6292]E(x62921,f191(f917(x62922,a904)))+E(f329(f312(x62922,x62923,f329(f16(x62923,x62922),x62924)),x62921),f329(f329(f311(x62923),x62924),f191(f917(x62923,a904))))
% 192.24/192.22 [6295]E(f329(f313(x62951,x62952,f329(f16(x62952,x62951),x62953)),x62954),f191(f917(x62951,a904)))+P1(f329(f329(f331(x62952),x62953),x62954))
% 192.24/192.22 [6361]~E(x63613,f191(f917(x63611,a904)))+E(f329(f329(f40(x63611,f917(x63612,a904)),x63613),f329(f16(f917(x63612,a904),x63611),x63614)),f191(f917(x63612,a904)))
% 192.24/192.22 [6362]~E(x63623,f191(f917(x63621,a904)))+E(f329(f329(f41(x63621,f917(x63622,a904)),x63623),f329(f16(f917(x63622,a904),x63621),x63624)),f247(f917(x63622,a904)))
% 192.24/192.22 [6364]~P9(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)))
% 192.24/192.22 [6534]E(f329(f313(x65341,x65342,f329(f16(x65342,x65341),x65343)),x65344),f247(f917(x65341,a904)))+~P1(f329(f329(f331(x65342),x65343),x65344))
% 192.24/192.22 [6558]~P1(f329(f329(f331(x65581),x65582),x65584))+P1(f329(f329(f331(x65581),x65582),f329(f329(f311(x65581),x65583),x65584)))
% 192.24/192.22 [6563]P1(f329(x65631,x65632))+~P1(f329(f163(x65633,x65631),f329(f329(f154(x65633),x65632),x65634)))
% 192.24/192.22 [6572]~E(x65723,f329(f329(f23(a909),f329(f192(f910(x65721)),x65722)),f80(a909)))+E(f119(x65721,f329(f329(f162(x65721,x65722),x65723),x65724)),f119(x65721,x65722))
% 192.24/192.22 [6590]~P112(x65901)+E(f329(f329(f106(f917(x65901,a904)),f329(f303(x65901),x65902)),f305(x65901,x65903,x65904)),f305(x65901,x65903,f329(f329(f237(x65901),x65902),x65904)))
% 192.24/192.22 [6591]~P112(x65911)+E(f329(f329(f106(f917(x65911,a904)),f329(f286(x65911),x65912)),f305(x65911,x65913,x65914)),f305(x65911,f329(f329(f238(x65911),x65912),x65913),x65914))
% 192.24/192.22 [6608]E(f329(f329(f106(f917(x66081,a904)),x66082),f329(f329(f311(x66081),x66083),x66084)),f329(f329(f106(f917(x66081,a904)),x66082),x66084))+P1(f329(f329(f331(x66081),x66083),x66082))
% 192.24/192.22 [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)))
% 192.24/192.22 [6625]~P85(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(a909),x66253),x66254)))
% 192.24/192.22 [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(a909),x66263),x66264)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [6665]~P112(x66651)+E(f329(f329(f238(x66651),f329(f329(f237(x66651),x66652),x66653)),f329(f329(f237(x66651),x66652),x66654)),f329(f329(f237(x66651),x66652),f329(f329(f238(x66651),x66653),x66654)))
% 192.24/192.22 [6666]~P112(x66661)+E(f329(f329(f237(x66661),f329(f329(f238(x66661),x66662),x66663)),f329(f329(f238(x66661),x66662),x66664)),f329(f329(f238(x66661),x66662),f329(f329(f237(x66661),x66663),x66664)))
% 192.24/192.22 [6700]~P9(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))
% 192.24/192.22 [6703]~E(f329(f192(f910(x67031)),x67033),f329(f192(f910(x67032)),x67034))+E(f329(f329(f157(f916(x67031,x67032),x67032),f261(x67031,x67032)),f329(f329(f184(x67031,x67032),x67033),x67034)),x67034)
% 192.24/192.22 [6704]~E(f329(f192(f910(x67041)),x67043),f329(f192(f910(x67042)),x67044))+E(f329(f329(f157(f916(x67041,x67042),x67041),f256(x67041,x67042)),f329(f329(f184(x67041,x67042),x67043),x67044)),x67043)
% 192.24/192.22 [6709]P1(f329(f163(x67091,x67092),x67093))+~P1(f329(f163(x67091,x67092),f329(f329(f154(x67091),x67094),x67093)))
% 192.24/192.22 [6710]P1(f329(f163(x67101,x67102),x67103))+~P1(f329(f163(x67101,x67102),f329(f329(f137(x67101),x67104),x67103)))
% 192.24/192.22 [6711]P1(f329(f163(x67111,x67112),x67113))+~P1(f329(f163(x67111,x67112),f329(f329(f137(x67111),x67113),x67114)))
% 192.24/192.22 [6717]~P10(x67171)+E(f46(x67171,f329(f329(f23(x67171),x67172),f46(x67171,x67173,x67174)),x67174),f46(x67171,f329(f329(f23(x67171),x67172),x67173),x67174))
% 192.24/192.22 [6718]~P9(x67181)+E(f46(x67181,f329(f329(f83(x67181),x67182),f46(x67181,x67183,x67184)),x67184),f46(x67181,f329(f329(f83(x67181),x67182),x67183),x67184))
% 192.24/192.22 [6719]~P9(x67191)+E(f46(x67191,f329(f329(f82(x67191),x67192),f46(x67191,x67193,x67194)),x67194),f46(x67191,f329(f329(f82(x67191),x67192),x67193),x67194))
% 192.24/192.22 [6798]~P112(x67981)+E(f329(f329(f106(f917(x67981,a904)),f305(x67981,x67982,x67983)),f329(f303(x67981),x67984)),f305(x67981,x67982,f329(f329(f237(x67981),x67983),x67984)))
% 192.24/192.22 [6799]~P112(x67991)+E(f329(f329(f106(f917(x67991,a904)),f305(x67991,x67992,x67993)),f329(f286(x67991),x67994)),f305(x67991,f329(f329(f238(x67991),x67992),x67994),x67993))
% 192.24/192.22 [6802]~E(f329(f192(f910(x68021)),x68023),f329(f192(f910(x68022)),x68024))+E(f329(f329(f184(x68021,x68022),f329(f171(x68021),x68023)),f329(f171(x68022),x68024)),f329(f171(f916(x68021,x68022)),f329(f329(f184(x68021,x68022),x68023),x68024)))
% 192.24/192.22 [6814]E(x68141,f329(f329(f23(a909),f329(f192(f910(x68142)),x68143)),f80(a909)))+E(f119(x68142,f329(f329(f162(x68142,x68143),x68141),x68144)),f329(f329(f162(x68142,f119(x68142,x68143)),x68141),x68144))
% 192.24/192.22 [6828]~P1(f329(f140(x68282),x68284))+P1(f329(f140(f916(x68281,x68282)),f329(f329(f184(x68281,x68282),x68283),x68284)))
% 192.24/192.22 [6829]~P1(f329(f140(x68291),x68293))+P1(f329(f140(f916(x68291,x68292)),f329(f329(f184(x68291,x68292),x68293),x68294)))
% 192.24/192.22 [7088]E(f329(f329(f37(a909),x70881),x70882),x70883)+~P1(f329(f49(x70881,x70882),f329(f329(f257(a909,a909),x70883),x70884)))
% 192.24/192.22 [7111]E(f46(a909,x71111,x71112),x71113)+~P1(f329(f49(x71111,x71112),f329(f329(f257(a909,a909),x71114),x71113)))
% 192.24/192.22 [7114]P1(f329(f140(x71141),x71142))+~P1(f329(f140(x71143),f329(f329(f157(x71141,x71143),x71144),x71142)))
% 192.24/192.22 [7122]~P30(x71221,x71222,f329(f329(f311(f908(x71221)),x71223),x71224))+P30(x71221,x71222,f329(f329(f311(f908(x71221)),x71223),f191(f917(f908(x71221),a904))))
% 192.24/192.22 [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)))
% 192.24/192.22 [7288]~P10(x72881)+E(f46(x72881,f329(f329(f23(x72881),f46(x72881,x72882,x72883)),x72884),x72883),f46(x72881,f329(f329(f23(x72881),x72882),x72884),x72883))
% 192.24/192.22 [7290]~P9(x72901)+E(f46(x72901,f329(f329(f82(x72901),f46(x72901,x72902,x72903)),x72904),x72903),f46(x72901,f329(f329(f82(x72901),x72902),x72904),x72903))
% 192.24/192.22 [7291]~P9(x72911)+E(f46(x72911,f329(f329(f83(x72911),f46(x72911,x72912,x72913)),x72914),x72913),f46(x72911,f329(f329(f83(x72911),x72912),x72914),x72913))
% 192.24/192.22 [7493]~E(x74931,f329(f329(f154(x74932),x74933),x74934))+~P1(f329(f329(f239(a909),f329(f192(f910(x74932)),x74931)),f329(f192(f910(x74932)),x74934)))
% 192.24/192.22 [7701]P31(x77011,x77012,x77013,f329(f175(x77011),x77014))+~P1(f329(f140(x77012),f329(f329(f157(x77011,x77012),x77013),x77014)))
% 192.24/192.22 [7775]~P1(f329(f329(f239(f917(x77751,a904)),x77752),x77754))+P1(f329(f329(f239(f917(x77751,a904)),x77752),f329(f329(f311(x77751),x77753),x77754)))
% 192.24/192.22 [7810]~P9(x78101)+E(f46(x78101,f329(f329(f82(x78101),f46(x78101,x78102,x78103)),f46(x78101,x78104,x78103)),x78103),f46(x78101,f329(f329(f82(x78101),x78102),x78104),x78103))
% 192.24/192.22 [7811]~P10(x78111)+E(f46(x78111,f329(f329(f23(x78111),f46(x78111,x78112,x78113)),f46(x78111,x78114,x78113)),x78113),f46(x78111,f329(f329(f23(x78111),x78112),x78114),x78113))
% 192.24/192.22 [7812]~P9(x78121)+E(f46(x78121,f329(f329(f83(x78121),f46(x78121,x78122,x78123)),f46(x78121,x78124,x78123)),x78123),f46(x78121,f329(f329(f83(x78121),x78122),x78124),x78123))
% 192.24/192.22 [7918]~E(f329(x79184,f427(x79184,x79183,x79181,x79182)),f191(f917(x79182,a904)))+E(f329(f329(f40(x79181,f917(x79182,a904)),x79183),x79184),f191(f917(x79182,a904)))
% 192.24/192.22 [7919]~E(f329(x79194,f614(x79194,x79193,x79191,x79192)),f247(f917(x79192,a904)))+E(f329(f329(f41(x79191,f917(x79192,a904)),x79193),x79194),f247(f917(x79192,a904)))
% 192.24/192.22 [7920]~E(f329(x79204,f443(x79204,x79203,x79202,x79201)),f191(f917(x79202,a904)))+E(f329(f329(f40(x79201,f917(x79202,a904)),x79203),x79204),f191(f917(x79202,a904)))
% 192.24/192.22 [7921]~E(f329(x79214,f615(x79214,x79213,x79212,x79211)),f247(f917(x79212,a904)))+E(f329(f329(f41(x79211,f917(x79212,a904)),x79213),x79214),f247(f917(x79212,a904)))
% 192.24/192.22 [8325]P1(f329(x83251,x83252))+~P1(f329(f329(f331(x83253),x83252),f329(f329(f106(f917(x83253,a904)),x83254),f329(f267(x83253),x83251))))
% 192.24/192.22 [8363]~P1(f329(f329(f239(f917(x83631,a904)),x83633),x83634))+P1(f329(f329(f239(f917(x83631,a904)),f329(f329(f311(x83631),x83632),x83633)),f329(f329(f311(x83631),x83632),x83634)))
% 192.24/192.22 [8534]P1(f329(f329(f197(x85341),x85342),f531(x85343,x85342,x85344,x85341)))+~P1(f329(f329(f197(f32(x85341,x85344)),x85342),x85343))
% 192.24/192.22 [8535]P1(f329(f329(f197(x85351),x85352),f575(x85353,x85352,x85354,x85351)))+~P1(f329(f329(f197(f32(x85351,x85354)),x85352),x85353))
% 192.24/192.22 [8544]P1(f329(x85442,x85443))+E(f329(f329(f141(x85441),f329(f192(f910(x85441)),f180(x85441,x85442,f329(f329(f154(x85441),x85443),x85444)))),f329(f329(f154(x85441),x85443),x85444)),f329(f329(f154(x85441),x85443),x85444))
% 192.24/192.22 [8663]~P1(f329(f329(f240(a909),f329(x86634,x86632)),f329(x86634,x86633)))+P1(f329(f329(f331(f916(x86631,x86631)),f329(f329(f257(x86631,x86631),x86632),x86633)),f329(f329(f290(a909,x86631),a245),x86634)))
% 192.24/192.22 [8755]~P1(f329(x87552,f764(x87554,x87552,x87553,x87551)))+E(f180(x87551,x87552,f329(f329(f137(x87551),x87553),x87554)),f329(f329(f137(x87551),x87553),f180(x87551,x87552,x87554)))
% 192.24/192.22 [8825]P31(f910(x88251),f910(x88252),f329(f157(x88251,x88252),x88253),x88254)+~P31(x88251,x88252,x88253,f38(f917(x88251,a904),f329(f312(f910(x88251),f917(x88251,a904),f175(x88251)),x88254)))
% 192.24/192.22 [8893]~P1(f329(x88932,x88933))+E(f329(f329(f141(x88931),f329(f192(f910(x88931)),f180(x88931,x88932,f329(f329(f154(x88931),x88933),x88934)))),f329(f329(f154(x88931),x88933),x88934)),f329(f329(f141(x88931),f329(f192(f910(x88931)),f180(x88931,x88932,x88934))),x88934))
% 192.24/192.22 [8933]~E(x89332,x89333)+E(f329(f139(x89331,f329(f329(f8(a904,a904,x89331),a324),f329(a326,x89332))),f329(f329(f154(x89331),x89333),x89334)),f329(f139(x89331,f329(f329(f8(a904,a904,x89331),a324),f329(a326,x89332))),x89334))
% 192.24/192.22 [8943]E(f329(f329(f40(x89431,f917(x89432,a904)),x89433),x89434),f191(f917(x89432,a904)))+P1(f329(f329(f331(x89431),f427(x89434,x89433,x89431,x89432)),x89433))
% 192.24/192.22 [8944]E(f329(f329(f41(x89441,f917(x89442,a904)),x89443),x89444),f247(f917(x89442,a904)))+P1(f329(f329(f331(x89441),f614(x89444,x89443,x89441,x89442)),x89443))
% 192.24/192.22 [8945]E(f329(f329(f40(x89451,f917(x89452,a904)),x89453),x89454),f191(f917(x89452,a904)))+P1(f329(f329(f331(x89451),f443(x89454,x89453,x89452,x89451)),x89453))
% 192.24/192.22 [8946]E(f329(f329(f41(x89461,f917(x89462,a904)),x89463),x89464),f247(f917(x89462,a904)))+P1(f329(f329(f331(x89461),f615(x89464,x89463,x89462,x89461)),x89463))
% 192.24/192.22 [8982]P1(f329(f329(f240(a909),f329(x89821,x89822)),f329(x89821,x89823)))+~P1(f329(f329(f331(f916(x89824,x89824)),f329(f329(f257(x89824,x89824),x89822),x89823)),f329(f329(f290(a909,x89824),a245),x89821)))
% 192.24/192.22 [9009]E(f180(x90091,x90092,f329(f329(f137(x90091),x90093),x90094)),f329(f329(f137(x90091),x90093),f180(x90091,x90092,x90094)))+P1(f329(f329(f331(x90091),f764(x90094,x90092,x90093,x90091)),f329(f175(x90091),x90093)))
% 192.24/192.22 [9049]P1(f329(f329(f197(x90491),f531(x90492,x90493,x90491,x90494)),x90492))+~P1(f329(f329(f197(f32(x90494,x90491)),x90493),x90492))
% 192.24/192.22 [9050]P1(f329(f329(f197(x90501),f575(x90502,x90503,x90501,x90504)),x90502))+~P1(f329(f329(f197(f32(x90504,x90501)),x90503),x90502))
% 192.24/192.22 [9171]P1(f329(f329(f331(x91711),f506(x91712,x91713,x91714,x91711)),x91713))+~P1(f329(f329(f331(f917(x91711,a904)),x91714),f329(f329(f61(x91711),x91713),x91712)))
% 192.24/192.22 [9174]E(x91741,x91742)+~P1(f329(f329(f331(f916(x91743,x91743)),f329(f329(f257(x91743,x91743),x91741),x91742)),f329(f329(f186(f916(x91743,x91743),a904),f2(a909)),x91744)))
% 192.24/192.22 [9255]E(f329(f288(x92551,x92551,x92552),f329(f329(f311(x92551),f506(x92552,x92553,x92554,x92551)),f191(f917(x92551,a904)))),x92554)+~P1(f329(f329(f331(f917(x92551,a904)),x92554),f329(f329(f61(x92551),x92553),x92552)))
% 192.24/192.22 [9266]~P1(f329(f329(f331(f916(x92661,x92661)),f329(f329(f257(x92661,x92661),x92663),x92662)),f309(x92661,x92664)))+P1(f329(f329(f331(f916(x92661,x92661)),f329(f329(f257(x92661,x92661),x92662),x92663)),f309(x92661,f329(f289(x92661,x92661),x92664))))
% 192.24/192.22 [9281]~P9(x92811)+E(f329(f329(f82(x92811),f329(f329(f82(x92811),f329(f329(f83(x92811),x92812),f329(f329(f37(x92811),x92813),x92812))),f46(x92811,x92813,x92812))),x92814),f329(f329(f82(x92811),x92813),x92814))
% 192.24/192.22 [9293]~P1(f329(f329(f331(x92931),x92933),x92934))+P1(f329(f329(f331(f917(x92931,a904)),f329(f288(x92931,x92931,x92932),f329(f329(f311(x92931),x92933),f191(f917(x92931,a904))))),f329(f329(f61(x92931),x92934),x92932)))
% 192.24/192.22 [9305]P1(f329(f329(f331(f916(x93051,x93051)),f329(f329(f257(x93051,x93051),x93052),x93053)),f309(x93051,x93054)))+~P1(f329(f329(f331(f916(x93051,x93051)),f329(f329(f257(x93051,x93051),x93053),x93052)),f309(x93051,f329(f289(x93051,x93051),x93054))))
% 192.24/192.22 [9388]E(f329(f329(f162(x93881,f329(f171(x93881),x93882)),f329(f329(f23(a909),f329(f329(f23(a909),f329(f192(f910(x93881)),x93882)),x93883)),f80(a909))),x93884),f329(f171(x93881),f329(f329(f162(x93881,x93882),x93883),x93884)))+~P1(f329(f329(f240(a909),x93883),f329(f192(f910(x93881)),x93882)))
% 192.24/192.22 [9392]~P1(f329(x93922,f758(x93924,x93922,x93923,x93921)))+E(f329(f329(f141(x93921),f329(f192(f910(x93921)),f180(x93921,x93922,f329(f329(f137(x93921),x93923),x93924)))),f329(f329(f137(x93921),x93923),x93924)),f329(f329(f141(x93921),f329(f192(f910(x93921)),f180(x93921,x93922,x93924))),x93924))
% 192.24/192.22 [9435]~P31(x94352,x94351,x94353,f247(f917(x94352,a904)))+P1(f329(f329(f239(f917(x94351,a904)),f329(f312(x94352,x94351,x94353),f329(f81(f917(x94352,a904)),x94354))),f329(f81(f917(x94351,a904)),f329(f312(x94352,x94351,x94353),x94354))))
% 192.24/192.22 [9447]~P11(x94471)+E(f329(f145(x94471,x94472,f329(f7(x94472,x94471,x94471),f329(f329(f8(x94471,f917(x94471,x94471),x94472),f115(x94471)),x94473)),f191(x94471)),x94474),f329(f329(f40(x94472,x94471),f329(f175(x94472),x94474)),x94473))
% 192.24/192.22 [9448]~P11(x94481)+E(f329(f145(x94481,x94482,f329(f7(x94482,x94481,x94481),f329(f329(f8(x94481,f917(x94481,x94481),x94482),f106(x94481)),x94483)),f247(x94481)),x94484),f329(f329(f41(x94482,x94481),f329(f175(x94482),x94484)),x94483))
% 192.24/192.22 [9458]E(f329(f329(f141(x94581),f329(f192(f910(x94581)),f180(x94581,x94582,f329(f329(f137(x94581),x94583),x94584)))),f329(f329(f137(x94581),x94583),x94584)),f329(f329(f141(x94581),f329(f192(f910(x94581)),f180(x94581,x94582,x94584))),x94584))+P1(f329(f329(f331(x94581),f758(x94584,x94582,x94583,x94581)),f329(f175(x94581),x94583)))
% 192.24/192.22 [9526]~P1(f329(f329(f331(f916(f910(x95264),f910(x95264))),f329(f329(f257(f910(x95264),f910(x95264)),x95263),x95262)),f160(x95264,x95261)))+P1(f329(f329(f240(a909),f692(x95261,x95262,x95263,x95264)),f329(f192(f910(x95264)),x95263)))
% 192.24/192.22 [9527]~P9(x95271)+E(f329(f329(f82(x95271),f329(f329(f82(x95271),f329(f329(f83(x95271),f329(f329(f37(x95271),x95272),x95273)),x95273)),f46(x95271,x95272,x95273))),x95274),f329(f329(f82(x95271),x95272),x95274))
% 192.24/192.22 [9556]~P1(f329(f329(f331(f916(f910(x95561),f910(x95561))),f329(f329(f257(f910(x95561),f910(x95561)),x95562),x95563)),f329(f289(f910(x95561),f910(x95561)),f160(x95561,x95564))))+P1(f329(f329(f331(f916(f910(x95561),f910(x95561))),f329(f329(f257(f910(x95561),f910(x95561)),x95562),x95563)),f160(x95561,f329(f289(x95561,x95561),x95564))))
% 192.24/192.22 [9557]P1(f329(f329(f331(f916(f910(x95571),f910(x95571))),f329(f329(f257(f910(x95571),f910(x95571)),x95572),x95573)),f329(f289(f910(x95571),f910(x95571)),f160(x95571,x95574))))+~P1(f329(f329(f331(f916(f910(x95571),f910(x95571))),f329(f329(f257(f910(x95571),f910(x95571)),x95572),x95573)),f160(x95571,f329(f289(x95571,x95571),x95574))))
% 192.24/192.22 [9597]~P1(f329(f329(f331(x95971),x95973),f329(f269(x95971,x95972),x95974)))+P1(f329(f329(f331(f916(x95971,x95972)),f329(f329(f257(x95971,x95972),x95973),f549(x95974,x95972,x95973,x95971))),x95974))
% 192.24/192.22 [9598]~P1(f329(f329(f331(x95981),x95983),f329(f269(x95981,x95982),x95984)))+P1(f329(f329(f331(f916(x95981,x95982)),f329(f329(f257(x95981,x95982),x95983),f553(x95984,x95982,x95983,x95981))),x95984))
% 192.24/192.22 [9756]~P1(f329(f329(f331(f916(x97561,x97561)),f329(f329(f257(x97561,x97561),x97562),x97564)),f329(f329(f291(x97561,x97561,x97561),x97563),f309(x97561,x97563))))+P1(f329(f329(f331(f916(x97561,x97561)),f329(f329(f257(x97561,x97561),x97562),f619(x97563,x97564,x97562,x97561))),x97563))
% 192.24/192.22 [9922]~P1(f329(f329(f331(f916(x99222,x99221)),x99224),f329(f289(x99221,x99222),x99223)))+P1(f329(f329(f331(f916(x99221,x99222)),f329(f329(f257(x99221,x99222),f665(x99223,x99224,x99221,x99222)),f664(x99223,x99224,x99221,x99222))),x99223))
% 192.24/192.22 [9947]~P1(f329(f329(f331(f916(f910(x99471),f910(x99471))),f329(f329(f257(f910(x99471),f910(x99471)),x99474),x99473)),f160(x99471,x99472)))+P1(f329(f329(f331(f916(x99471,x99471)),f329(f329(f257(x99471,x99471),f708(x99472,x99473,x99474,x99471)),f709(x99472,x99473,x99474,x99471))),x99472))
% 192.24/192.22 [10034]~P1(f329(f329(f331(f916(f910(x100341),f910(x100341))),f329(f329(f257(f910(x100341),f910(x100341)),x100342),x100344)),f160(x100341,x100343)))+P1(f329(f329(f331(f916(x100341,x100341)),f329(f329(f257(x100341,x100341),f329(f329(f167(x100341),x100342),f692(x100343,x100344,x100342,x100341))),f693(x100343,x100344,x100342,x100341))),x100343))
% 192.24/192.22 [10056]~P1(f329(f62(x100562),x100564))+E(f329(f329(f329(f66(f917(x100561,a904),x100562,f115(f917(x100561,a904))),f329(f329(f7(x100562,f917(x100561,a904),f917(x100561,a904)),f329(f329(f8(x100561,f917(f917(x100561,a904),f917(x100561,a904)),x100562),f311(x100561)),x100563)),f191(f917(x100561,a904)))),f191(f917(x100561,a904))),x100564),f329(f312(x100562,x100561,x100563),x100564))
% 192.24/192.22 [10150]~P31(x101501,x101502,x101503,f247(f917(x101501,a904)))+P1(f329(f329(f239(f917(x101501,a904)),f329(f313(x101501,x101502,x101503),f329(f329(f311(x101502),x101504),f191(f917(x101502,a904))))),f329(f329(f311(x101501),f87(x101501,f329(f329(f7(x101501,x101502,a904),f329(f329(f8(x101502,f917(x101502,a904),x101501),a326),x101503)),x101504))),f191(f917(x101501,a904)))))
% 192.24/192.22 [5731]~E(f329(f329(f137(x57311),x57312),x57314),x57313)+E(f329(f329(f178(x57311),f329(f192(f910(x57311)),x57312)),x57313),x57312)
% 192.24/192.22 [5732]~E(f329(f329(f137(x57322),x57323),x57321),x57324)+E(x57321,f329(f329(f141(x57322),f329(f192(f910(x57322)),x57323)),x57324))
% 192.24/192.22 [5743]~E(x57434,f2(a909))+E(f329(f329(f167(x57431),f329(f329(f154(x57431),x57432),x57433)),x57434),x57432)
% 192.24/192.22 [6284]~P116(x62841)+E(f329(f329(f249(x62841),f329(f329(f249(x62841),x62842),x62843)),x62844),f329(f329(f249(x62841),x62842),f329(f329(f83(a909),x62843),x62844)))
% 192.24/192.22 [6285]~P85(x62851)+E(f329(f329(f249(x62851),f329(f329(f249(x62851),x62852),x62853)),x62854),f329(f329(f249(x62851),x62852),f329(f329(f83(a909),x62853),x62854)))
% 192.24/192.22 [6293]E(x62931,f2(a909))+E(f329(f329(f167(x62932),f329(f329(f154(x62932),x62933),x62934)),x62931),f329(f329(f167(x62932),x62934),f329(f329(f23(a909),x62931),f80(a909))))
% 192.24/192.22 [6321]~P123(x63211)+E(f329(f329(f292(x63211),f329(f329(f83(x63211),x63212),x63213)),x63214),f329(f329(f83(x63211),x63212),f329(f329(f292(x63211),x63213),x63214)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [6326]~P7(x63261)+E(f329(f329(f82(x63261),f329(f329(f82(x63261),x63262),x63263)),x63264),f329(f329(f82(x63261),x63262),f329(f329(f82(x63261),x63263),x63264)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [6331]~P75(x63311)+E(f329(f329(f83(x63311),f329(f329(f83(x63311),x63312),x63313)),x63314),f329(f329(f83(x63311),x63312),f329(f329(f83(x63311),x63313),x63314)))
% 192.24/192.22 [6334]~P112(x63341)+E(f329(f329(f237(x63341),f329(f329(f237(x63341),x63342),x63343)),x63344),f329(f329(f237(x63341),x63342),f329(f329(f237(x63341),x63343),x63344)))
% 192.24/192.22 [6336]~P112(x63361)+E(f329(f329(f238(x63361),f329(f329(f238(x63361),x63362),x63363)),x63364),f329(f329(f238(x63361),x63362),f329(f329(f238(x63361),x63363),x63364)))
% 192.24/192.22 [6345]~P9(x63451)+E(f46(x63451,f329(f329(f82(x63451),x63452),f329(f329(f83(x63451),x63453),x63454)),x63454),f46(x63451,x63452,x63454))
% 192.24/192.22 [6346]~P9(x63461)+E(f46(x63461,f329(f329(f82(x63461),x63462),f329(f329(f83(x63461),x63463),x63464)),x63463),f46(x63461,x63462,x63463))
% 192.24/192.22 [6480]E(f329(f329(f167(x64801),f329(f329(f178(x64801),x64802),x64803)),x64804),f329(f329(f167(x64801),x64803),x64804))+~P1(f329(f329(f240(a909),x64804),x64802))
% 192.24/192.22 [6658]~E(x66582,x66584)+P1(f329(f329(f175(x66581),f329(f329(f154(x66581),x66582),x66583)),x66584))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [6889]E(f329(f329(f106(f917(x68891,a904)),f329(f329(f311(x68891),x68892),x68893)),x68894),f329(f329(f106(f917(x68891,a904)),x68893),x68894))+P1(f329(f329(f331(x68891),x68892),x68894))
% 192.24/192.22 [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))
% 192.24/192.22 [6957]~P86(x69571)+E(f329(f329(f237(x69571),f329(f329(f82(x69571),x69572),x69573)),f329(f329(f82(x69571),x69574),x69573)),f329(f329(f82(x69571),f329(f329(f237(x69571),x69572),x69574)),x69573))
% 192.24/192.22 [6958]~P86(x69581)+E(f329(f329(f238(x69581),f329(f329(f82(x69581),x69582),x69583)),f329(f329(f82(x69581),x69584),x69583)),f329(f329(f82(x69581),f329(f329(f238(x69581),x69582),x69584)),x69583))
% 192.24/192.22 [6959]~P87(x69591)+E(f329(f329(f237(x69591),f329(f329(f23(x69591),x69592),x69593)),f329(f329(f23(x69591),x69594),x69593)),f329(f329(f23(x69591),f329(f329(f237(x69591),x69592),x69594)),x69593))
% 192.24/192.22 [6960]~P87(x69601)+E(f329(f329(f238(x69601),f329(f329(f23(x69601),x69602),x69603)),f329(f329(f23(x69601),x69604),x69603)),f329(f329(f23(x69601),f329(f329(f238(x69601),x69602),x69604)),x69603))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [6966]~P70(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))
% 192.24/192.22 [6967]~P123(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))
% 192.24/192.22 [6968]~P123(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))
% 192.24/192.22 [6969]~P112(x69691)+E(f329(f329(f238(x69691),f329(f329(f237(x69691),x69692),x69693)),f329(f329(f237(x69691),x69694),x69693)),f329(f329(f237(x69691),f329(f329(f238(x69691),x69692),x69694)),x69693))
% 192.24/192.22 [6970]~P112(x69701)+E(f329(f329(f237(x69701),f329(f329(f238(x69701),x69702),x69703)),f329(f329(f238(x69701),x69704),x69703)),f329(f329(f238(x69701),f329(f329(f237(x69701),x69702),x69704)),x69703))
% 192.24/192.22 [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))
% 192.24/192.22 [7002]E(f329(f329(f162(x70021,x70022),x70023),x70024),x70022)+~P1(f329(f329(f239(a909),f329(f192(f910(x70021)),x70022)),x70023))
% 192.24/192.22 [7028]~P1(f329(x70283,x70284))+P1(f329(f329(f329(f115(f917(x70281,a904)),x70282),x70283),x70284))
% 192.24/192.22 [7030]~P1(f329(x70302,x70304))+P1(f329(f329(f329(f115(f917(x70301,a904)),x70302),x70303),x70304))
% 192.24/192.22 [7050]E(f329(f329(f167(x70501),f329(f329(f137(x70501),x70502),x70503)),x70504),f329(f329(f167(x70501),x70502),x70504))+~P1(f329(f329(f240(a909),x70504),f329(f192(f910(x70501)),x70502)))
% 192.24/192.22 [7060]E(f329(f329(f23(f917(x70601,a904)),f329(f329(f311(x70601),x70602),x70603)),x70604),f329(f329(f23(f917(x70601,a904)),x70603),x70604))+~P1(f329(f329(f331(x70601),x70602),x70604))
% 192.24/192.22 [7101]~E(f142(a909,f329(f304(a909,x71011),x71012)),f329(f329(f154(a909),x71014),x71013))+E(f142(a909,f329(f304(a909,f329(f329(f82(a909),x71011),f80(a909))),x71012)),x71013)
% 192.24/192.22 [7123]~P1(f329(f329(f175(x71231),x71233),x71234))+P1(f329(f329(f175(x71231),f329(f329(f154(x71231),x71232),x71233)),x71234))
% 192.24/192.22 [7172]E(x71721,f2(a909))+E(f329(f329(f154(x71722),x71723),f329(f329(f178(x71722),f329(f329(f23(a909),x71721),f80(a909))),x71724)),f329(f329(f178(x71722),x71721),f329(f329(f154(x71722),x71723),x71724)))
% 192.24/192.22 [7271]E(f329(f329(f167(x72711),x72712),f329(f329(f23(a909),x72713),f329(f192(f910(x72711)),x72714))),f329(f329(f167(x72711),f329(f329(f137(x72711),x72714),x72712)),x72713))+P1(f329(f329(f240(a909),x72713),f329(f192(f910(x72711)),x72714)))
% 192.24/192.22 [7301]E(f329(f329(f106(f917(x73011,a904)),x73012),f329(f329(f311(x73011),x73013),x73014)),f329(f329(f311(x73011),x73013),f329(f329(f106(f917(x73011,a904)),x73012),x73014)))+~P1(f329(f329(f331(x73011),x73013),x73012))
% 192.24/192.22 [7339]E(f329(f329(f167(x73391),f329(f329(f162(x73391,x73392),x73393),x73394)),x73393),x73394)+~P1(f329(f329(f240(a909),x73393),f329(f192(f910(x73391)),x73392)))
% 192.24/192.22 [7361]E(x73611,f191(f917(x73612,a904)))+E(f329(f312(f916(x73613,x73612),x73613,f256(x73613,x73612)),f329(f329(f259(x73613,x73612),x73614),f329(f16(f917(x73612,a904),x73613),x73611))),x73614)
% 192.24/192.22 [7362]E(x73621,f191(f917(x73622,a904)))+E(f329(f312(f916(x73622,x73623),x73623,f261(x73622,x73623)),f329(f329(f259(x73622,x73623),x73621),f329(f16(f917(x73623,a904),x73622),x73624))),x73624)
% 192.24/192.22 [7441]E(f329(f329(f23(f917(x74411,a904)),f329(f329(f311(x74411),x74412),x74413)),x74414),f329(f329(f311(x74411),x74412),f329(f329(f23(f917(x74411,a904)),x74413),x74414)))+P1(f329(f329(f331(x74411),x74412),x74414))
% 192.24/192.22 [7479]~E(x74794,f191(f917(x74792,a904)))+E(f329(f312(f916(x74791,x74792),x74791,f256(x74791,x74792)),f329(f329(f259(x74791,x74792),x74793),f329(f16(f917(x74792,a904),x74791),x74794))),f191(f917(x74791,a904)))
% 192.24/192.22 [7480]~E(x74803,f191(f917(x74801,a904)))+E(f329(f312(f916(x74801,x74802),x74802,f261(x74801,x74802)),f329(f329(f259(x74801,x74802),x74803),f329(f16(f917(x74802,a904),x74801),x74804))),f191(f917(x74802,a904)))
% 192.24/192.22 [7535]~P1(f329(f329(f331(x75351),x75352),x75354))+P1(f329(f329(f331(x75351),x75352),f329(f329(f115(f917(x75351,a904)),x75353),x75354)))
% 192.24/192.22 [7538]~P1(f329(f329(f331(x75381),x75382),x75383))+P1(f329(f329(f331(x75381),x75382),f329(f329(f115(f917(x75381,a904)),x75383),x75384)))
% 192.24/192.22 [7559]E(f329(f329(f106(f917(x75591,a904)),f329(f329(f311(x75591),x75592),x75593)),x75594),f329(f329(f311(x75591),x75592),f329(f329(f106(f917(x75591,a904)),x75593),x75594)))+~P1(f329(f329(f331(x75591),x75592),x75594))
% 192.24/192.22 [7832]P1(f329(x78321,x78322))+~P1(f329(f329(f329(f106(f917(x78323,a904)),x78324),x78321),x78322))
% 192.24/192.22 [7833]P1(f329(x78331,x78332))+~P1(f329(f329(f329(f106(f917(x78333,a904)),x78331),x78334),x78332))
% 192.24/192.22 [7834]E(f329(f329(f6(x78341,a909),x78342),f329(f329(f23(f917(x78341,a904)),x78343),f329(f329(f311(x78341),x78344),f191(f917(x78341,a904))))),f329(f329(f6(x78341,a909),x78342),x78343))+P1(f329(f329(f331(x78341),x78344),x78343))
% 192.24/192.22 [7840]~P77(x78401)+E(f329(f168(x78401),f329(f329(f157(a909,x78401),x78402),f142(a909,f329(f304(a909,x78403),x78404)))),f329(f329(f6(a909,x78401),x78402),f329(f175(a909),f142(a909,f329(f304(a909,x78403),x78404)))))
% 192.24/192.22 [7841]~P77(x78411)+E(f329(f329(f6(a909,x78411),x78412),f329(f175(a909),f142(a909,f329(f304(a909,x78413),x78414)))),f329(f168(x78411),f329(f329(f157(a909,x78411),x78412),f142(a909,f329(f304(a909,x78413),x78414)))))
% 192.24/192.22 [7961]~E(x79613,x79614)+P1(f329(f63(x79611,x79612,f329(f329(f311(x79611),x79613),f191(f917(x79611,a904)))),x79614))
% 192.24/192.22 [8058]P1(f329(f329(f331(x80581),x80582),f329(f175(x80581),x80583)))+~P1(f329(f329(f331(x80581),x80582),f329(f175(x80581),f329(f329(f178(x80581),x80584),x80583))))
% 192.24/192.22 [8059]P1(f329(f329(f331(x80591),x80592),f329(f175(x80591),x80593)))+~P1(f329(f329(f331(x80591),x80592),f329(f175(x80591),f329(f329(f141(x80591),x80594),x80593))))
% 192.24/192.22 [8135]P1(f329(f329(f331(x81351),x81352),x81353))+~P1(f329(f329(f331(x81351),x81352),f329(f329(f23(f917(x81351,a904)),x81353),x81354)))
% 192.24/192.22 [8137]P1(f329(f329(f331(x81371),x81372),x81373))+~P1(f329(f329(f331(x81371),x81372),f329(f329(f106(f917(x81371,a904)),x81374),x81373)))
% 192.24/192.22 [8140]P1(f329(f329(f331(x81401),x81402),x81403))+~P1(f329(f329(f331(x81401),x81402),f329(f329(f106(f917(x81401,a904)),x81403),x81404)))
% 192.24/192.22 [8158]E(f329(f329(f137(x81581),f329(f329(f178(x81581),x81582),x81583)),f329(f329(f154(x81581),x81584),f329(f329(f141(x81581),f329(a117,x81582)),x81583))),f329(f329(f162(x81581,x81583),x81582),x81584))+~P1(f329(f329(f240(a909),x81582),f329(f192(f910(x81581)),x81583)))
% 192.24/192.22 [8183]P1(f329(f329(f331(x81831),x81832),x81833))+~P1(f329(f329(f239(f917(x81831,a904)),f329(f329(f311(x81831),x81832),x81834)),x81833))
% 192.24/192.22 [8220]~P1(f329(f329(f331(x82201),x82202),x82203))+~P1(f329(f329(f331(x82201),x82202),f329(f329(f23(f917(x82201,a904)),x82204),x82203)))
% 192.24/192.22 [8253]~P1(f329(f329(f240(a909),x82534),f329(f192(f910(x82531)),x82533)))+P1(f329(f329(f331(x82531),x82532),f329(f175(x82531),f329(f329(f162(x82531,x82533),x82534),x82532))))
% 192.24/192.22 [8304]E(f329(f329(f167(x83041),f329(f329(f141(x83041),x83042),x83043)),x83044),f329(f329(f167(x83041),x83043),f329(f329(f82(a909),x83042),x83044)))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),x83042),x83044)),f329(f192(f910(x83041)),x83043)))
% 192.24/192.22 [8313]~P109(x83132)+E(f329(f329(f6(x83131,x83132),f329(f329(f8(a909,x83132,x83131),f105(x83132)),x83133)),x83134),f329(f105(x83132),f329(f329(f6(x83131,a909),x83133),x83134)))
% 192.24/192.22 [8314]~P129(x83142)+E(f329(f329(f6(x83141,x83142),f329(f329(f8(a1,x83142,x83141),f107(x83142)),x83143)),x83144),f329(f107(x83142),f329(f329(f6(x83141,a1),x83143),x83144)))
% 192.24/192.22 [8365]~P73(x83652)+E(f329(f329(f9(x83651,x83652),f329(f329(f8(x83652,x83652,x83651),f77(x83652)),x83653)),x83654),f329(f77(x83652),f329(f329(f9(x83651,x83652),x83653),x83654)))
% 192.24/192.22 [8366]~P74(x83662)+E(f329(f329(f6(x83661,x83662),f329(f329(f8(x83662,x83662,x83661),f81(x83662)),x83663)),x83664),f329(f81(x83662),f329(f329(f6(x83661,x83662),x83663),x83664)))
% 192.24/192.22 [8368]E(f329(f329(f6(x83681,a909),x83682),f329(f329(f23(f917(x83681,a904)),x83683),f329(f329(f311(x83681),x83684),f191(f917(x83681,a904))))),f329(f329(f23(a909),f329(f329(f6(x83681,a909),x83682),x83683)),f329(x83682,x83684)))+~P1(f329(f329(f331(x83681),x83684),x83683))
% 192.24/192.22 [8387]P1(f329(f329(f239(f917(x83871,a904)),x83872),x83873))+~P1(f329(f329(f239(f917(x83871,a904)),f329(f329(f311(x83871),x83874),x83872)),x83873))
% 192.24/192.22 [8512]~E(f329(f312(x85122,x85123,x85121),f247(f917(x85122,a904))),f247(f917(x85123,a904)))+E(f329(x85121,f329(f94(x85122,x85123,f247(f917(x85122,a904)),x85121),x85124)),x85124)
% 192.24/192.22 [8602]P44(x86021,x86022)+~P44(x86021,f329(f329(f311(f916(x86021,x86021)),f329(f329(f257(x86021,x86021),x86023),x86024)),x86022))
% 192.24/192.22 [8603]P66(x86031,x86032)+~P66(x86031,f329(f329(f311(f916(x86031,x86031)),f329(f329(f257(x86031,x86031),x86033),x86034)),x86032))
% 192.24/192.22 [8611]~P112(x86111)+E(f329(f329(f151(x86111,x86111,f5(x86111)),x86112),f329(f329(f151(x86111,x86111,f5(x86111)),x86113),x86114)),f329(f329(f151(x86111,x86111,f5(x86111)),x86113),f329(f329(f151(x86111,x86111,f5(x86111)),x86112),x86114)))
% 192.24/192.22 [8626]E(x86261,x86262)+~P1(f329(f63(x86263,x86264,f329(f329(f311(x86263),x86261),f191(f917(x86263,a904)))),x86262))
% 192.24/192.22 [8637]E(f329(f329(f137(x86371),f329(f329(f178(x86371),x86372),x86373)),f329(f329(f178(x86371),x86374),f329(f329(f141(x86371),x86372),x86373))),f329(f329(f178(x86371),f329(f329(f82(a909),x86372),x86374)),x86373))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),x86372),x86374)),f329(f192(f910(x86371)),x86373)))
% 192.24/192.22 [8678]P1(f329(f62(x86781),x86782))+~E(x86782,f329(f312(a909,x86781,x86783),f329(f267(a909),f329(f329(f7(a909,a909,a904),f240(a909)),x86784))))
% 192.24/192.22 [8698]~P94(x86981)+E(f329(f145(x86981,x86981,f82(x86981),f329(f329(f82(x86981),x86982),x86983)),x86984),f329(f329(f82(x86981),x86982),f329(f145(x86981,x86981,f82(x86981),x86983),x86984)))
% 192.24/192.22 [8733]P1(f329(f329(f239(f917(x87331,a904)),f329(f269(x87331,x87332),x87333)),f329(f269(x87331,x87332),x87334)))+~P1(f329(f329(f239(f917(f916(x87331,x87332),a904)),x87333),x87334))
% 192.24/192.22 [8745]~P1(f329(f329(f239(a909),x87452),x87454))+P1(f329(f329(f239(f917(x87451,a904)),f329(f175(x87451),f329(f329(f178(x87451),x87452),x87453))),f329(f175(x87451),f329(f329(f178(x87451),x87454),x87453))))
% 192.24/192.22 [8746]~P1(f329(f329(f239(a909),x87464),x87462))+P1(f329(f329(f239(f917(x87461,a904)),f329(f175(x87461),f329(f329(f141(x87461),x87462),x87463))),f329(f175(x87461),f329(f329(f141(x87461),x87464),x87463))))
% 192.24/192.22 [8799]~P1(f329(f62(x87991),f329(f329(f23(f917(x87991,a904)),x87992),x87994)))+P1(f329(f62(x87991),f329(f329(f23(f917(x87991,a904)),x87992),f329(f329(f311(x87991),x87993),x87994))))
% 192.24/192.22 [8836]P1(f329(f329(f331(f916(x88361,x88361)),x88362),f309(x88361,x88363)))+~P1(f329(f329(f331(f916(x88361,x88361)),x88362),f329(f329(f186(f916(x88361,x88361),a904),x88364),x88363)))
% 192.24/192.22 [8916]~P1(f329(f62(x89161),f329(f329(f23(f917(x89161,a904)),x89162),f329(f329(f311(x89161),x89164),x89163))))+P1(f329(f62(x89161),f329(f329(f23(f917(x89161,a904)),x89162),x89163)))
% 192.24/192.22 [9129]~P2(x91291)+P1(f329(f329(f239(x91291),f329(f329(f115(x91291),x91292),f329(f329(f106(x91291),x91293),x91294))),f329(f329(f106(x91291),f329(f329(f115(x91291),x91292),x91293)),f329(f329(f115(x91291),x91292),x91294))))
% 192.24/192.22 [9130]~P112(x91301)+P1(f329(f329(f239(x91301),f329(f329(f238(x91301),x91302),f329(f329(f237(x91301),x91303),x91304))),f329(f329(f237(x91301),f329(f329(f238(x91301),x91302),x91303)),f329(f329(f238(x91301),x91302),x91304))))
% 192.24/192.22 [9288]E(x92881,x92882)+~P1(f329(f329(f331(f916(x92883,x92883)),f329(f329(f257(x92883,x92883),x92881),x92882)),f329(f175(f916(x92883,x92883)),f329(f329(f184(x92883,x92883),x92884),x92884))))
% 192.24/192.22 [9320]~P1(f329(f329(f331(f916(x93201,x93201)),f329(f329(f257(x93201,x93201),x93203),x93202)),f309(x93201,x93204)))+~P44(x93201,f329(f329(f311(f916(x93201,x93201)),f329(f329(f257(x93201,x93201),x93202),x93203)),x93204))
% 192.24/192.22 [9321]~P1(f329(f329(f331(f916(x93211,x93211)),f329(f329(f257(x93211,x93211),x93213),x93212)),f309(x93211,x93214)))+~P66(x93211,f329(f329(f311(f916(x93211,x93211)),f329(f329(f257(x93211,x93211),x93212),x93213)),x93214))
% 192.24/192.22 [9325]E(x93251,x93252)+E(f329(f139(x93253,f329(f329(f8(a904,a904,x93253),a324),f329(a326,x93251))),f329(f329(f154(x93253),x93252),x93254)),f329(f329(f154(x93253),x93252),f329(f139(x93253,f329(f329(f8(a904,a904,x93253),a324),f329(a326,x93251))),x93254)))
% 192.24/192.22 [9367]~P2(x93671)+P1(f329(f329(f239(x93671),f329(f329(f115(x93671),f329(f329(f106(x93671),x93672),x93673)),f329(f329(f106(x93671),x93672),x93674))),f329(f329(f106(x93671),x93672),f329(f329(f115(x93671),x93673),x93674))))
% 192.24/192.22 [9368]~P112(x93681)+P1(f329(f329(f239(x93681),f329(f329(f238(x93681),f329(f329(f237(x93681),x93682),x93683)),f329(f329(f237(x93681),x93682),x93684))),f329(f329(f237(x93681),x93682),f329(f329(f238(x93681),x93683),x93684))))
% 192.24/192.22 [9429]~P32(x94292,x94291,x94294,f247(f917(x94292,a904)),f247(f917(x94291,a904)))+E(f329(f267(x94291),f329(f329(f8(x94292,a904,x94291),x94293),f94(x94292,x94291,f247(f917(x94292,a904)),x94294))),f329(f312(x94292,x94291,x94294),f329(f267(x94292),x94293)))
% 192.24/192.22 [9442]~E(f329(f312(x94422,x94421,x94423),f247(f917(x94422,a904))),f247(f917(x94421,a904)))+P1(f329(f329(f239(f917(x94421,a904)),f329(f81(f917(x94421,a904)),f329(f312(x94422,x94421,x94423),x94424))),f329(f312(x94422,x94421,x94423),f329(f81(f917(x94422,a904)),x94424))))
% 192.24/192.22 [9769]P1(f329(f329(f331(f916(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(f916(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)))))
% 192.24/192.22 [9770]~P1(f329(f329(f331(f916(x97701,x97701)),f329(f329(f257(x97701,x97701),x97702),x97703)),f329(f289(x97701,x97701),f329(f329(f291(x97701,x97701,x97701),x97704),f309(x97701,x97704)))))+P1(f329(f329(f331(f916(x97701,x97701)),f329(f329(f257(x97701,x97701),x97702),x97703)),f329(f329(f291(x97701,x97701,x97701),f329(f289(x97701,x97701),x97704)),f309(x97701,f329(f289(x97701,x97701),x97704)))))
% 192.24/192.22 [9791]~P1(f329(f329(f331(x97912),x97914),f329(f287(x97911,x97912),x97913)))+P1(f329(f329(f331(f916(x97911,x97912)),f329(f329(f257(x97911,x97912),f538(x97913,x97911,x97914,x97912)),x97914)),x97913))
% 192.24/192.22 [9792]~P1(f329(f329(f331(x97922),x97924),f329(f287(x97921,x97922),x97923)))+P1(f329(f329(f331(f916(x97921,x97922)),f329(f329(f257(x97921,x97922),f551(x97923,x97921,x97924,x97922)),x97924)),x97923))
% 192.24/192.22 [9817]~P1(f329(f329(f331(x98171),x98174),f329(f329(f115(f917(x98171,a904)),x98172),x98173)))+P1(f329(f329(f329(f115(f917(x98171,a904)),f329(f329(f7(x98171,f917(x98171,a904),a904),f331(x98171)),x98172)),f329(f329(f7(x98171,f917(x98171,a904),a904),f331(x98171)),x98173)),x98174))
% 192.24/192.22 [9818]~P1(f329(f329(f331(x98181),x98184),f329(f329(f106(f917(x98181,a904)),x98182),x98183)))+P1(f329(f329(f329(f106(f917(x98181,a904)),f329(f329(f7(x98181,f917(x98181,a904),a904),f331(x98181)),x98182)),f329(f329(f7(x98181,f917(x98181,a904),a904),f331(x98181)),x98183)),x98184))
% 192.24/192.22 [9898]~P1(f329(f329(f331(f916(x98981,x98981)),f329(f329(f257(x98981,x98981),x98984),x98983)),f329(f329(f291(x98981,x98981,x98981),x98982),f309(x98981,x98982))))+P1(f329(f329(f331(f916(x98981,x98981)),f329(f329(f257(x98981,x98981),f626(x98982,x98983,x98984,x98981)),x98983)),x98982))
% 192.24/192.22 [9935]P1(f329(f329(f331(x99351),x99352),f329(f329(f115(f917(x99351,a904)),x99353),x99354)))+~P1(f329(f329(f329(f115(f917(x99351,a904)),f329(f329(f7(x99351,f917(x99351,a904),a904),f331(x99351)),x99353)),f329(f329(f7(x99351,f917(x99351,a904),a904),f331(x99351)),x99354)),x99352))
% 192.24/192.22 [9936]P1(f329(f329(f331(x99361),x99362),f329(f329(f106(f917(x99361,a904)),x99363),x99364)))+~P1(f329(f329(f329(f106(f917(x99361,a904)),f329(f329(f7(x99361,f917(x99361,a904),a904),f331(x99361)),x99363)),f329(f329(f7(x99361,f917(x99361,a904),a904),f331(x99361)),x99364)),x99362))
% 192.24/192.22 [10203]P39(x102031,f329(f329(f7(x102031,f917(f916(x102031,x102031),a904),f917(x102031,a904)),f329(f329(f8(f917(x102031,f917(f917(f916(x102031,x102031),a904),a904)),f917(f917(f916(x102031,x102031),a904),f917(x102031,a904)),x102031),f7(x102031,f917(f916(x102031,x102031),a904),a904)),f329(f329(f8(f917(x102031,f916(x102031,x102031)),f917(x102031,f917(f917(f916(x102031,x102031),a904),a904)),x102031),f329(f8(f916(x102031,x102031),f917(f917(f916(x102031,x102031),a904),a904),x102031),f331(f916(x102031,x102031)))),f257(x102031,x102031)))),x102032),x102033,x102034)+~P1(f329(f329(f331(f916(f910(x102031),f910(x102031))),f329(f329(f257(f910(x102031),f910(x102031)),x102033),x102034)),f161(x102031,x102032)))
% 192.24/192.22 [10207]P67(x102071,f329(f329(f7(x102071,f917(f916(x102071,x102071),a904),f917(x102071,a904)),f329(f329(f8(f917(x102071,f917(f917(f916(x102071,x102071),a904),a904)),f917(f917(f916(x102071,x102071),a904),f917(x102071,a904)),x102071),f7(x102071,f917(f916(x102071,x102071),a904),a904)),f329(f329(f8(f917(x102071,f916(x102071,x102071)),f917(x102071,f917(f917(f916(x102071,x102071),a904),a904)),x102071),f329(f8(f916(x102071,x102071),f917(f917(f916(x102071,x102071),a904),a904),x102071),f331(f916(x102071,x102071)))),f257(x102071,x102071)))),x102072),x102073,x102074)+~P1(f329(f329(f331(f916(f917(x102071,a904),f917(x102071,a904))),f329(f329(f257(f917(x102071,a904),f917(x102071,a904)),x102073),x102074)),f320(x102071,x102072)))
% 192.24/192.22 [10243]E(x102431,x102432)+~E(f329(f329(f7(x102433,f917(f916(x102433,x102434),a904),f917(x102434,a904)),f329(f329(f8(f917(x102434,f917(f917(f916(x102433,x102434),a904),a904)),f917(f917(f916(x102433,x102434),a904),f917(x102434,a904)),x102433),f7(x102434,f917(f916(x102433,x102434),a904),a904)),f329(f329(f8(f917(x102434,f916(x102433,x102434)),f917(x102434,f917(f917(f916(x102433,x102434),a904),a904)),x102433),f329(f8(f916(x102433,x102434),f917(f917(f916(x102433,x102434),a904),a904),x102434),f331(f916(x102433,x102434)))),f257(x102433,x102434)))),x102431),f329(f329(f7(x102433,f917(f916(x102433,x102434),a904),f917(x102434,a904)),f329(f329(f8(f917(x102434,f917(f917(f916(x102433,x102434),a904),a904)),f917(f917(f916(x102433,x102434),a904),f917(x102434,a904)),x102433),f7(x102434,f917(f916(x102433,x102434),a904),a904)),f329(f329(f8(f917(x102434,f916(x102433,x102434)),f917(x102434,f917(f917(f916(x102433,x102434),a904),a904)),x102433),f329(f8(f916(x102433,x102434),f917(f917(f916(x102433,x102434),a904),a904),x102434),f331(f916(x102433,x102434)))),f257(x102433,x102434)))),x102432))
% 192.24/192.22 [10246]~P39(x102461,f329(f329(f7(x102461,f917(f916(x102461,x102461),a904),f917(x102461,a904)),f329(f329(f8(f917(x102461,f917(f917(f916(x102461,x102461),a904),a904)),f917(f917(f916(x102461,x102461),a904),f917(x102461,a904)),x102461),f7(x102461,f917(f916(x102461,x102461),a904),a904)),f329(f329(f8(f917(x102461,f916(x102461,x102461)),f917(x102461,f917(f917(f916(x102461,x102461),a904),a904)),x102461),f329(f8(f916(x102461,x102461),f917(f917(f916(x102461,x102461),a904),a904),x102461),f331(f916(x102461,x102461)))),f257(x102461,x102461)))),x102464),x102462,x102463)+P1(f329(f329(f331(f916(f910(x102461),f910(x102461))),f329(f329(f257(f910(x102461),f910(x102461)),x102462),x102463)),f161(x102461,x102464)))
% 192.24/192.22 [10247]~P67(x102471,f329(f329(f7(x102471,f917(f916(x102471,x102471),a904),f917(x102471,a904)),f329(f329(f8(f917(x102471,f917(f917(f916(x102471,x102471),a904),a904)),f917(f917(f916(x102471,x102471),a904),f917(x102471,a904)),x102471),f7(x102471,f917(f916(x102471,x102471),a904),a904)),f329(f329(f8(f917(x102471,f916(x102471,x102471)),f917(x102471,f917(f917(f916(x102471,x102471),a904),a904)),x102471),f329(f8(f916(x102471,x102471),f917(f917(f916(x102471,x102471),a904),a904),x102471),f331(f916(x102471,x102471)))),f257(x102471,x102471)))),x102474),x102472,x102473)+P1(f329(f329(f331(f916(f917(x102471,a904),f917(x102471,a904))),f329(f329(f257(f917(x102471,a904),f917(x102471,a904)),x102472),x102473)),f320(x102471,x102474)))
% 192.24/192.22 [7609]~P96(x76091)+E(f329(f329(f82(x76091),f329(f108(x76091),x76092)),f329(f329(f82(x76091),f329(f108(x76091),x76093)),x76094)),f329(f329(f82(x76091),f329(f108(x76091),f329(f329(f82(a1),x76092),x76093))),x76094))
% 192.24/192.22 [7610]~P96(x76101)+E(f329(f329(f82(x76101),f329(f108(x76101),x76102)),f329(f329(f23(x76101),f329(f108(x76101),x76103)),x76104)),f329(f329(f23(x76101),f329(f108(x76101),f329(f329(f82(a1),x76102),x76103))),x76104))
% 192.24/192.22 [7611]~P96(x76111)+E(f329(f329(f83(x76111),f329(f108(x76111),x76112)),f329(f329(f83(x76111),f329(f108(x76111),x76113)),x76114)),f329(f329(f83(x76111),f329(f108(x76111),f329(f329(f83(a1),x76112),x76113))),x76114))
% 192.24/192.22 [7651]~P109(x76511)+E(f329(f168(x76511),f329(f329(f157(x76512,x76511),f329(f16(x76511,x76512),x76513)),x76514)),f329(f329(f83(x76511),f329(f105(x76511),f329(f192(f910(x76512)),x76514))),x76513))
% 192.24/192.22 [7889]E(f329(f273(x78891,f329(f329(f154(f916(a104,x78891)),x78892),x78893)),x78894),f329(f261(a104,x78891),x78892))+~P1(f329(f329(f240(a104),x78894),f329(f256(a104,x78891),x78892)))
% 192.24/192.22 [7938]~P96(x79381)+E(f329(f329(f82(x79381),f329(f108(x79381),x79382)),f329(f329(f23(x79381),x79383),f329(f108(x79381),x79384))),f329(f329(f82(x79381),f329(f108(x79381),f329(f329(f82(a1),x79382),f329(f81(a1),x79384)))),x79383))
% 192.24/192.22 [8072]E(f329(f273(x80721,x80722),f329(f329(f23(a104),x80723),f329(f256(a104,x80721),x80724))),f329(f273(x80721,f329(f329(f154(f916(a104,x80721)),x80724),x80722)),x80723))+P1(f329(f329(f240(a104),x80723),f329(f256(a104,x80721),x80724)))
% 192.24/192.22 [8518]~P1(f329(f329(f331(x85181),x85182),f329(f175(x85181),f119(x85181,x85184))))+P1(f329(f329(f331(x85181),x85182),f329(f175(x85181),f119(x85181,f329(f329(f137(x85181),x85183),x85184)))))
% 192.24/192.22 [8519]~P1(f329(f329(f331(x85191),x85192),f329(f175(x85191),f119(x85191,x85193))))+P1(f329(f329(f331(x85191),x85192),f329(f175(x85191),f119(x85191,f329(f329(f137(x85191),x85193),x85194)))))
% 192.24/192.22 [8539]E(f329(f329(f115(f917(x85391,a904)),f329(f329(f106(f917(x85391,a904)),x85392),x85393)),x85394),f329(f329(f106(f917(x85391,a904)),x85392),f329(f329(f115(f917(x85391,a904)),x85393),x85394)))+~P1(f329(f329(f239(f917(x85391,a904)),x85394),x85392))
% 192.24/192.22 [8849]~E(f329(f329(f115(f917(x88491,a904)),f329(f329(f106(f917(x88491,a904)),x88493),x88494)),x88492),f329(f329(f106(f917(x88491,a904)),x88493),f329(f329(f115(f917(x88491,a904)),x88494),x88492)))+P1(f329(f329(f239(f917(x88491,a904)),x88492),x88493))
% 192.24/192.22 [9135]~P1(f329(f329(f239(f917(x91351,a904)),x91352),f329(f329(f115(f917(x91351,a904)),x91353),x91354)))+P1(f329(f329(f239(f917(x91351,a904)),f329(f329(f23(f917(x91351,a904)),x91352),x91353)),x91354))
% 192.24/192.22 [9252]~E(f329(f312(x92521,x92522,x92523),f247(f917(x92521,a904))),f247(f917(x92522,a904)))+E(f329(f312(x92521,x92522,x92523),f329(f312(x92522,x92521,f94(x92521,x92522,f247(f917(x92521,a904)),x92523)),x92524)),x92524)
% 192.24/192.22 [9262]P1(f329(f329(f239(f917(x92621,a904)),x92622),f329(f329(f115(f917(x92621,a904)),x92623),x92624)))+~P1(f329(f329(f239(f917(x92621,a904)),f329(f329(f23(f917(x92621,a904)),x92622),x92623)),x92624))
% 192.24/192.22 [9350]~P89(x93501)+E(f329(f77(x93501),f329(f329(f6(x93502,x93501),f329(f329(f8(x93501,x93501,x93502),f77(x93501)),x93503)),x93504)),f329(f329(f6(x93502,x93501),f329(f329(f8(x93501,x93501,x93502),f77(x93501)),x93503)),x93504))
% 192.24/192.22 [9518]~P89(x95181)+P1(f329(f329(f239(x95181),f2(x95181)),f329(f329(f6(x95182,x95181),f329(f329(f8(x95181,x95181,x95182),f77(x95181)),x95183)),x95184)))
% 192.24/192.22 [9522]~P74(x95221)+E(f329(f168(x95221),f329(f329(f157(x95222,x95221),f329(f74(x95221,x95221,x95222,f81(x95221)),x95223)),x95224)),f329(f81(x95221),f329(f168(x95221),f329(f329(f157(x95222,x95221),x95223),x95224))))
% 192.24/192.22 [9663]~P89(x96631)+P1(f329(f329(f239(x96631),f329(f77(x96631),f329(f329(f6(x96632,x96631),x96633),x96634))),f329(f329(f6(x96632,x96631),f329(f329(f8(x96631,x96631,x96632),f77(x96631)),x96633)),x96634)))
% 192.24/192.22 [9692]~E(f329(f329(f82(a909),x96921),x96924),f329(f329(f82(a909),x96923),x96922))+P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),f329(f329(f257(a909,a909),x96921),x96922)),f329(f329(f257(a909,a909),x96923),x96924))),a113))
% 192.24/192.22 [9693]~P1(f329(f329(f240(a909),x96931),x96933))+P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),f329(f329(f257(a909,a909),x96931),x96932)),f329(f329(f257(a909,a909),x96933),x96934))),a34))
% 192.24/192.22 [9694]~P1(f329(f329(f240(a909),x96941),x96943))+P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),f329(f329(f257(a909,a909),x96941),x96942)),f329(f329(f257(a909,a909),x96943),x96944))),a72))
% 192.24/192.22 [9843]E(f329(f329(f82(a909),x98431),x98432),f329(f329(f82(a909),x98433),x98434))+~P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),f329(f329(f257(a909,a909),x98431),x98434)),f329(f329(f257(a909,a909),x98433),x98432))),a113))
% 192.24/192.22 [9872]E(f329(f329(f167(x98721),f329(f329(f141(x98721),f329(f192(f910(x98721)),f180(x98721,x98722,x98723))),x98723)),x98724),f329(f329(f167(x98721),x98723),f329(f329(f82(a909),x98724),f329(f192(f910(x98721)),f180(x98721,x98722,x98723)))))+~P1(f329(f329(f240(a909),x98724),f329(f192(f910(x98721)),f329(f329(f141(x98721),f329(f192(f910(x98721)),f180(x98721,x98722,x98723))),x98723))))
% 192.24/192.22 [9889]~P1(f329(f329(f331(x98892),x98894),f329(f329(f40(x98891,f917(x98892,a904)),f247(f917(x98891,a904))),x98893)))+P1(f329(f329(f329(f40(x98891,f917(x98892,a904)),f247(f917(x98891,a904))),f329(f329(f8(f917(x98892,a904),f917(x98892,a904),x98891),f329(f7(x98892,f917(x98892,a904),a904),f331(x98892))),x98893)),x98894))
% 192.24/192.22 [9890]~P1(f329(f329(f331(x98902),x98904),f329(f329(f41(x98901,f917(x98902,a904)),f247(f917(x98901,a904))),x98903)))+P1(f329(f329(f329(f41(x98901,f917(x98902,a904)),f247(f917(x98901,a904))),f329(f329(f8(f917(x98902,a904),f917(x98902,a904),x98901),f329(f7(x98902,f917(x98902,a904),a904),f331(x98902))),x98903)),x98904))
% 192.24/192.22 [9962]~P1(f329(f50(x99621,x99622),f329(f329(f257(a1,a1),x99624),x99623)))+P1(f329(f50(f329(f81(a1),x99621),x99622),f329(f329(f257(a1,a1),f329(f329(f329(f99(a1),f329(f329(a326,x99623),f2(a1))),f329(f81(a1),x99624)),f329(f329(f23(a1),f329(f81(a1),x99624)),f80(a1)))),f329(f329(f329(f99(a1),f329(f329(a326,x99623),f2(a1))),f2(a1)),f329(f329(f23(a1),x99622),x99623)))))
% 192.24/192.22 [9972]P1(f329(f329(f331(x99721),x99722),f329(f329(f40(x99723,f917(x99721,a904)),f247(f917(x99723,a904))),x99724)))+~P1(f329(f329(f329(f40(x99723,f917(x99721,a904)),f247(f917(x99723,a904))),f329(f329(f8(f917(x99721,a904),f917(x99721,a904),x99723),f329(f7(x99721,f917(x99721,a904),a904),f331(x99721))),x99724)),x99722))
% 192.24/192.22 [9973]P1(f329(f329(f331(x99731),x99732),f329(f329(f41(x99733,f917(x99731,a904)),f247(f917(x99733,a904))),x99734)))+~P1(f329(f329(f329(f41(x99733,f917(x99731,a904)),f247(f917(x99733,a904))),f329(f329(f8(f917(x99731,a904),f917(x99731,a904),x99733),f329(f7(x99731,f917(x99731,a904),a904),f331(x99731))),x99734)),x99732))
% 192.24/192.22 [9985]E(f329(f329(f40(a909,f917(x99851,a904)),f247(f917(a909,a904))),x99852),f329(f329(f40(a909,f917(x99851,a904)),f247(f917(a909,a904))),x99853))+~E(f329(f329(f40(a909,f917(x99851,a904)),f329(f304(a909,f2(a909)),f467(x99852,x99854,x99853,x99851))),x99853),f329(f329(f40(a909,f917(x99851,a904)),f329(f304(a909,f2(a909)),f329(f329(f82(a909),f467(x99852,x99854,x99853,x99851)),x99854))),x99852))
% 192.24/192.22 [10316]~P1(f329(f329(f239(f917(f916(x103161,x103162),a904)),x103163),x103164))+P1(f329(f329(f239(f917(x103161,f917(x103162,a904))),f329(f329(f7(x103161,f917(f916(x103161,x103162),a904),f917(x103162,a904)),f329(f329(f8(f917(x103162,f917(f917(f916(x103161,x103162),a904),a904)),f917(f917(f916(x103161,x103162),a904),f917(x103162,a904)),x103161),f7(x103162,f917(f916(x103161,x103162),a904),a904)),f329(f329(f8(f917(x103162,f916(x103161,x103162)),f917(x103162,f917(f917(f916(x103161,x103162),a904),a904)),x103161),f329(f8(f916(x103161,x103162),f917(f917(f916(x103161,x103162),a904),a904),x103162),f331(f916(x103161,x103162)))),f257(x103161,x103162)))),x103163)),f329(f329(f7(x103161,f917(f916(x103161,x103162),a904),f917(x103162,a904)),f329(f329(f8(f917(x103162,f917(f917(f916(x103161,x103162),a904),a904)),f917(f917(f916(x103161,x103162),a904),f917(x103162,a904)),x103161),f7(x103162,f917(f916(x103161,x103162),a904),a904)),f329(f329(f8(f917(x103162,f916(x103161,x103162)),f917(x103162,f917(f917(f916(x103161,x103162),a904),a904)),x103161),f329(f8(f916(x103161,x103162),f917(f917(f916(x103161,x103162),a904),a904),x103162),f331(f916(x103161,x103162)))),f257(x103161,x103162)))),x103164)))
% 192.24/192.22 [10333]P1(f329(f329(f239(f917(f916(x103331,x103332),a904)),x103333),x103334))+~P1(f329(f329(f239(f917(x103331,f917(x103332,a904))),f329(f329(f7(x103331,f917(f916(x103331,x103332),a904),f917(x103332,a904)),f329(f329(f8(f917(x103332,f917(f917(f916(x103331,x103332),a904),a904)),f917(f917(f916(x103331,x103332),a904),f917(x103332,a904)),x103331),f7(x103332,f917(f916(x103331,x103332),a904),a904)),f329(f329(f8(f917(x103332,f916(x103331,x103332)),f917(x103332,f917(f917(f916(x103331,x103332),a904),a904)),x103331),f329(f8(f916(x103331,x103332),f917(f917(f916(x103331,x103332),a904),a904),x103332),f331(f916(x103331,x103332)))),f257(x103331,x103332)))),x103333)),f329(f329(f7(x103331,f917(f916(x103331,x103332),a904),f917(x103332,a904)),f329(f329(f8(f917(x103332,f917(f917(f916(x103331,x103332),a904),a904)),f917(f917(f916(x103331,x103332),a904),f917(x103332,a904)),x103331),f7(x103332,f917(f916(x103331,x103332),a904),a904)),f329(f329(f8(f917(x103332,f916(x103331,x103332)),f917(x103332,f917(f917(f916(x103331,x103332),a904),a904)),x103331),f329(f8(f916(x103331,x103332),f917(f917(f916(x103331,x103332),a904),a904),x103332),f331(f916(x103331,x103332)))),f257(x103331,x103332)))),x103334)))
% 192.24/192.22 [9395]~P1(f329(f329(f331(f916(x93951,x93951)),x93952),f309(x93951,x93954)))+P1(f329(f329(f331(f916(x93951,x93951)),x93952),f309(x93951,f329(f329(f115(f917(f916(x93951,x93951),a904)),x93953),x93954))))
% 192.24/192.22 [9396]~P1(f329(f329(f331(f916(x93961,x93961)),x93962),f309(x93961,x93963)))+P1(f329(f329(f331(f916(x93961,x93961)),x93962),f309(x93961,f329(f329(f115(f917(f916(x93961,x93961),a904)),x93963),x93964))))
% 192.24/192.22 [10070]~P1(f329(f329(f240(a909),f329(f329(f82(a909),x100701),x100704)),f329(f329(f82(a909),x100703),x100702)))+P1(f329(f329(f240(a1),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x100701),x100702)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x100703),x100704)),f191(f917(f916(a909,a909),a904)))))))
% 192.24/192.22 [10071]~P1(f329(f329(f239(a909),f329(f329(f82(a909),x100711),x100714)),f329(f329(f82(a909),x100713),x100712)))+P1(f329(f329(f239(a1),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x100711),x100712)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x100713),x100714)),f191(f917(f916(a909,a909),a904)))))))
% 192.24/192.22 [10147]P1(f329(f329(f240(a909),f329(f329(f82(a909),x101471),x101472)),f329(f329(f82(a909),x101473),x101474)))+~P1(f329(f329(f240(a1),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x101471),x101474)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x101473),x101472)),f191(f917(f916(a909,a909),a904)))))))
% 192.24/192.22 [10148]P1(f329(f329(f239(a909),f329(f329(f82(a909),x101481),x101482)),f329(f329(f82(a909),x101483),x101484)))+~P1(f329(f329(f239(a1),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x101481),x101484)),f191(f917(f916(a909,a909),a904)))))),f329(a91,f329(f288(f916(a909,a909),f916(a909,a909),a113),f329(f329(f311(f916(a909,a909)),f329(f329(f257(a909,a909),x101483),x101482)),f191(f917(f916(a909,a909),a904)))))))
% 192.24/192.22 [10189]P1(f329(f329(f239(f917(x101891,a904)),f329(f329(f40(a909,f917(x101891,a904)),f247(f917(a909,a904))),x101892)),f329(f329(f40(a909,f917(x101891,a904)),f247(f917(a909,a904))),x101893)))+~P1(f329(f329(f239(f917(x101891,a904)),f329(f329(f40(a909,f917(x101891,a904)),f329(f304(a909,f2(a909)),f458(x101893,x101894,x101892,x101891))),x101892)),f329(f329(f40(a909,f917(x101891,a904)),f329(f304(a909,f2(a909)),f329(f329(f82(a909),f458(x101893,x101894,x101892,x101891)),x101894))),x101893)))
% 192.24/192.22 [10250]P1(f329(f329(f239(a104),x102504),f2(a104)))+E(f329(f329(f264(f916(a104,a104),f916(x102501,f917(a912,a325)),f916(a104,a104),f916(f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104))),f329(x102502,x102503)),f329(f329(f8(f917(f917(a104,f917(a904,f913(f911(x102501)))),f917(f916(a104,a104),f916(f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104)))),f917(f916(a104,a104),f916(f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104))),f916(x102501,f917(a912,a325))),f329(f264(f916(a104,a104),f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104),f916(f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104))),f280(x102501,x102502,f329(f329(f23(a104),x102504),f80(a104)),x102503))),f329(f329(f8(f917(f917(a104,f917(a904,f913(f911(x102501)))),f917(a104,f917(a904,f913(f911(x102501))))),f917(f917(a104,f917(a904,f913(f911(x102501)))),f917(f916(a104,a104),f916(f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104)))),f916(x102501,f917(a912,a325))),f329(f8(f917(a104,f917(a904,f913(f911(x102501)))),f917(f916(a104,a104),f916(f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104))),f917(a104,f917(a904,f913(f911(x102501))))),f257(f917(a104,f917(a904,f913(f911(x102501)))),f916(a104,a104)))),f329(f329(f8(f917(a104,f917(a904,f913(f911(x102501)))),f917(f917(a104,f917(a904,f913(f911(x102501)))),f917(a104,f917(a904,f913(f911(x102501))))),f916(x102501,f917(a912,a325))),f45(x102501)),f329(f329(f8(x102501,f917(a104,f917(a904,f913(f911(x102501)))),f916(x102501,f917(a912,a325))),f43(x102501)),f256(x102501,f917(a912,a325))))))),f280(x102501,x102502,x102504,x102503))
% 192.24/192.22 [10306]~P1(f329(f329(f331(x103062),x103064),f329(f287(x103061,x103062),x103063)))+P1(f329(f255(x103061,x103062,f329(f329(f7(x103061,f917(f916(x103061,x103062),a904),f917(x103062,a904)),f329(f329(f8(f917(x103062,f917(f917(f916(x103061,x103062),a904),a904)),f917(f917(f916(x103061,x103062),a904),f917(x103062,a904)),x103061),f7(x103062,f917(f916(x103061,x103062),a904),a904)),f329(f329(f8(f917(x103062,f916(x103061,x103062)),f917(x103062,f917(f917(f916(x103061,x103062),a904),a904)),x103061),f329(f8(f916(x103061,x103062),f917(f917(f916(x103061,x103062),a904),a904),x103062),f331(f916(x103061,x103062)))),f257(x103061,x103062)))),x103063)),x103064))
% 192.24/192.22 [10307]~P1(f329(f329(f331(x103071),x103074),f329(f269(x103071,x103072),x103073)))+P1(f329(f254(x103071,x103072,f329(f329(f7(x103071,f917(f916(x103071,x103072),a904),f917(x103072,a904)),f329(f329(f8(f917(x103072,f917(f917(f916(x103071,x103072),a904),a904)),f917(f917(f916(x103071,x103072),a904),f917(x103072,a904)),x103071),f7(x103072,f917(f916(x103071,x103072),a904),a904)),f329(f329(f8(f917(x103072,f916(x103071,x103072)),f917(x103072,f917(f917(f916(x103071,x103072),a904),a904)),x103071),f329(f8(f916(x103071,x103072),f917(f917(f916(x103071,x103072),a904),a904),x103072),f331(f916(x103071,x103072)))),f257(x103071,x103072)))),x103073)),x103074))
% 192.24/192.22 [10319]P1(f329(f329(f331(x103191),x103192),f329(f287(x103193,x103191),x103194)))+~P1(f329(f255(x103193,x103191,f329(f329(f7(x103193,f917(f916(x103193,x103191),a904),f917(x103191,a904)),f329(f329(f8(f917(x103191,f917(f917(f916(x103193,x103191),a904),a904)),f917(f917(f916(x103193,x103191),a904),f917(x103191,a904)),x103193),f7(x103191,f917(f916(x103193,x103191),a904),a904)),f329(f329(f8(f917(x103191,f916(x103193,x103191)),f917(x103191,f917(f917(f916(x103193,x103191),a904),a904)),x103193),f329(f8(f916(x103193,x103191),f917(f917(f916(x103193,x103191),a904),a904),x103191),f331(f916(x103193,x103191)))),f257(x103193,x103191)))),x103194)),x103192))
% 192.24/192.22 [10320]P1(f329(f329(f331(x103201),x103202),f329(f269(x103201,x103203),x103204)))+~P1(f329(f254(x103201,x103203,f329(f329(f7(x103201,f917(f916(x103201,x103203),a904),f917(x103203,a904)),f329(f329(f8(f917(x103203,f917(f917(f916(x103201,x103203),a904),a904)),f917(f917(f916(x103201,x103203),a904),f917(x103203,a904)),x103201),f7(x103203,f917(f916(x103201,x103203),a904),a904)),f329(f329(f8(f917(x103203,f916(x103201,x103203)),f917(x103203,f917(f917(f916(x103201,x103203),a904),a904)),x103201),f329(f8(f916(x103201,x103203),f917(f917(f916(x103201,x103203),a904),a904),x103203),f331(f916(x103201,x103203)))),f257(x103201,x103203)))),x103204)),x103202))
% 192.24/192.22 [9994]P1(f329(f163(x99941,x99942),x99943))+~P1(f329(f163(x99941,f329(f329(f18(x99941,a904,a904),f329(f329(f8(a904,f917(a904,a904),x99941),a327),x99944)),x99942)),x99943))
% 192.24/192.22 [9995]P1(f329(f163(x99951,x99952),x99953))+~P1(f329(f163(x99951,f329(f329(f18(x99951,a904,a904),f329(f329(f8(a904,f917(a904,a904),x99951),a327),x99952)),x99954)),x99953))
% 192.24/192.22 [10072]~P116(x100721)+E(f329(f329(f83(x100721),f329(f329(f82(x100721),f80(x100721)),f80(x100721))),f329(f329(f6(a909,x100721),f329(f329(f8(x100721,x100721,a909),f329(f82(x100721),x100722)),f329(f329(f7(a909,x100721,x100721),f329(f329(f8(x100721,f917(x100721,x100721),a909),f83(x100721)),f105(x100721))),x100723))),f329(f285(a909),x100724))),f329(f329(f83(x100721),f329(f105(x100721),x100724)),f329(f329(f82(x100721),x100722),f329(f329(f82(x100721),x100722),f329(f329(f83(x100721),f329(f105(x100721),f329(f329(f23(a909),x100724),f80(a909)))),x100723)))))
% 192.24/192.22 [10210]P1(f329(x102101,f537(x102102,x102103,x102104,x102101)))+P44(x102102,f329(f267(f916(x102102,x102102)),f329(f262(x102102,x102102,a904),f329(f329(f8(f917(x102102,a904),f917(x102102,a904),x102102),f329(f18(x102102,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102102),a327),x102101))),f329(f329(f7(x102102,f917(x102102,x102102),f917(x102102,a904)),f329(f329(f8(f917(x102102,a904),f917(f917(x102102,x102102),f917(x102102,a904)),x102102),f8(x102102,a904,x102102)),a326)),x102103)))))
% 192.24/192.22 [10228]~P1(f329(f329(f240(a909),f329(x102284,f329(x102283,f537(x102281,x102283,x102284,x102282)))),f329(x102284,f537(x102281,x102283,x102284,x102282))))+P44(x102281,f329(f267(f916(x102281,x102281)),f329(f262(x102281,x102281,a904),f329(f329(f8(f917(x102281,a904),f917(x102281,a904),x102281),f329(f18(x102281,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102281),a327),x102282))),f329(f329(f7(x102281,f917(x102281,x102281),f917(x102281,a904)),f329(f329(f8(f917(x102281,a904),f917(f917(x102281,x102281),f917(x102281,a904)),x102281),f8(x102281,a904,x102281)),a326)),x102283)))))
% 192.24/192.22 [10292]~P11(x102921)+E(f39(x102921,f329(f267(x102921),f329(f329(f8(f917(f917(x102922,x102921),a904),a904,x102921),f89(f917(x102922,x102921))),f329(f329(f8(f917(f917(x102922,x102921),a904),f917(f917(x102922,x102921),a904),x102921),f329(f18(f917(x102922,x102921),a904,a904),f329(f329(f8(a904,f917(a904,a904),f917(x102922,x102921)),a327),f329(f329(f7(f917(x102922,x102921),f917(f917(x102922,x102921),a904),a904),f331(f917(x102922,x102921))),x102923)))),f329(f329(f7(x102921,f917(f917(x102922,x102921),x102921),f917(f917(x102922,x102921),a904)),f329(f329(f8(f917(x102921,a904),f917(f917(f917(x102922,x102921),x102921),f917(f917(x102922,x102921),a904)),x102921),f8(x102921,a904,f917(x102922,x102921))),a326)),f329(f329(f7(f917(x102922,x102921),x102922,x102921),f5(f917(x102922,x102921))),x102924)))))),f329(f39(f917(x102922,x102921),x102923),x102924))
% 192.24/192.22 [10293]~P11(x102931)+E(f39(x102931,f329(f267(x102931),f329(f329(f8(f917(f917(x102932,x102931),a904),a904,x102931),f89(f917(x102932,x102931))),f329(f329(f8(f917(f917(x102932,x102931),a904),f917(f917(x102932,x102931),a904),x102931),f329(f18(f917(x102932,x102931),a904,a904),f329(f329(f8(a904,f917(a904,a904),f917(x102932,x102931)),a327),f329(f329(f7(f917(x102932,x102931),f917(f917(x102932,x102931),a904),a904),f331(f917(x102932,x102931))),x102933)))),f329(f329(f7(x102931,f917(f917(x102932,x102931),x102931),f917(f917(x102932,x102931),a904)),f329(f329(f8(f917(x102931,a904),f917(f917(f917(x102932,x102931),x102931),f917(f917(x102932,x102931),a904)),x102931),f8(x102931,a904,f917(x102932,x102931))),a326)),f329(f329(f7(f917(x102932,x102931),x102932,x102931),f5(f917(x102932,x102931))),x102934)))))),f329(f39(f917(x102932,x102931),x102933),x102934))
% 192.24/192.22 [10294]~P11(x102941)+E(f38(x102941,f329(f267(x102941),f329(f329(f8(f917(f917(x102942,x102941),a904),a904,x102941),f89(f917(x102942,x102941))),f329(f329(f8(f917(f917(x102942,x102941),a904),f917(f917(x102942,x102941),a904),x102941),f329(f18(f917(x102942,x102941),a904,a904),f329(f329(f8(a904,f917(a904,a904),f917(x102942,x102941)),a327),f329(f329(f7(f917(x102942,x102941),f917(f917(x102942,x102941),a904),a904),f331(f917(x102942,x102941))),x102943)))),f329(f329(f7(x102941,f917(f917(x102942,x102941),x102941),f917(f917(x102942,x102941),a904)),f329(f329(f8(f917(x102941,a904),f917(f917(f917(x102942,x102941),x102941),f917(f917(x102942,x102941),a904)),x102941),f8(x102941,a904,f917(x102942,x102941))),a326)),f329(f329(f7(f917(x102942,x102941),x102942,x102941),f5(f917(x102942,x102941))),x102944)))))),f329(f38(f917(x102942,x102941),x102943),x102944))
% 192.24/192.22 [10295]~P11(x102951)+E(f38(x102951,f329(f267(x102951),f329(f329(f8(f917(f917(x102952,x102951),a904),a904,x102951),f89(f917(x102952,x102951))),f329(f329(f8(f917(f917(x102952,x102951),a904),f917(f917(x102952,x102951),a904),x102951),f329(f18(f917(x102952,x102951),a904,a904),f329(f329(f8(a904,f917(a904,a904),f917(x102952,x102951)),a327),f329(f329(f7(f917(x102952,x102951),f917(f917(x102952,x102951),a904),a904),f331(f917(x102952,x102951))),x102953)))),f329(f329(f7(x102951,f917(f917(x102952,x102951),x102951),f917(f917(x102952,x102951),a904)),f329(f329(f8(f917(x102951,a904),f917(f917(f917(x102952,x102951),x102951),f917(f917(x102952,x102951),a904)),x102951),f8(x102951,a904,f917(x102952,x102951))),a326)),f329(f329(f7(f917(x102952,x102951),x102952,x102951),f5(f917(x102952,x102951))),x102954)))))),f329(f38(f917(x102952,x102951),x102953),x102954))
% 192.24/192.22 [10350]~P1(f329(f329(f331(f916(x103501,x103501)),f329(f329(f257(x103501,x103501),x103503),x103504)),f329(f329(f115(f917(f916(x103501,x103501),a904)),x103502),f309(x103501,f191(f917(f916(x103501,x103501),a904))))))+P1(f329(f329(f329(f329(f115(f917(x103501,f917(x103501,a904))),f329(f329(f7(x103501,f917(f916(x103501,x103501),a904),f917(x103501,a904)),f329(f329(f8(f917(x103501,f917(f917(f916(x103501,x103501),a904),a904)),f917(f917(f916(x103501,x103501),a904),f917(x103501,a904)),x103501),f7(x103501,f917(f916(x103501,x103501),a904),a904)),f329(f329(f8(f917(x103501,f916(x103501,x103501)),f917(x103501,f917(f917(f916(x103501,x103501),a904),a904)),x103501),f329(f8(f916(x103501,x103501),f917(f917(f916(x103501,x103501),a904),a904),x103501),f331(f916(x103501,x103501)))),f257(x103501,x103501)))),x103502)),a326),x103503),x103504))
% 192.24/192.22 [10360]P1(f329(f329(f331(f916(x103601,x103601)),f329(f329(f257(x103601,x103601),x103602),x103603)),f329(f329(f115(f917(f916(x103601,x103601),a904)),x103604),f309(x103601,f191(f917(f916(x103601,x103601),a904))))))+~P1(f329(f329(f329(f329(f115(f917(x103601,f917(x103601,a904))),f329(f329(f7(x103601,f917(f916(x103601,x103601),a904),f917(x103601,a904)),f329(f329(f8(f917(x103601,f917(f917(f916(x103601,x103601),a904),a904)),f917(f917(f916(x103601,x103601),a904),f917(x103601,a904)),x103601),f7(x103601,f917(f916(x103601,x103601),a904),a904)),f329(f329(f8(f917(x103601,f916(x103601,x103601)),f917(x103601,f917(f917(f916(x103601,x103601),a904),a904)),x103601),f329(f8(f916(x103601,x103601),f917(f917(f916(x103601,x103601),a904),a904),x103601),f331(f916(x103601,x103601)))),f257(x103601,x103601)))),x103604)),a326),x103602),x103603))
% 192.24/192.22 [10303]E(f329(f329(f154(f910(x103031)),f329(f329(f154(x103031),x103032),f329(f145(f910(x103031),f910(x103031),f137(x103031),f118(x103031)),f329(f329(f157(f910(x103031),f910(x103031)),f159(f910(x103031),x103031,f118(x103031),f329(f329(f8(f910(x103031),f917(f910(x103031),f910(x103031)),x103031),f16(f910(x103031),f910(x103031))),f329(f329(f7(x103031,f910(x103031),f910(x103031)),f154(x103031)),f118(x103031))))),x103033)))),f182(x103031,f329(f329(f154(f910(x103031)),x103034),f329(f145(f910(f910(x103031)),f910(f910(x103031)),f137(f910(x103031)),f118(f910(x103031))),f329(f329(f157(f910(x103031),f910(f910(x103031))),f159(f910(f910(x103031)),x103031,f118(f910(x103031)),f329(f16(f917(f910(x103031),f910(f910(x103031))),x103031),f329(f329(f7(f910(x103031),f910(f910(x103031)),f910(f910(x103031))),f154(f910(x103031))),f118(f910(x103031)))))),x103033))))),f182(x103031,f329(f329(f154(f910(x103031)),f329(f329(f154(x103031),x103032),x103034)),x103033)))+~P1(f329(f317(f910(f910(x103031)),f183(x103031)),f329(f329(f154(f910(x103031)),f329(f329(f154(x103031),x103032),x103034)),x103033)))
% 192.24/192.22 [10349]~P1(f329(f62(x103492),f329(f267(x103492),x103494)))+P1(f329(f62(x103491),f329(f267(x103491),f329(f329(f8(f917(x103492,a904),a904,x103491),f89(x103492)),f329(f329(f7(x103491,f917(x103492,a904),f917(x103492,a904)),f329(f329(f8(f917(x103492,f917(a904,a904)),f917(f917(x103492,a904),f917(x103492,a904)),x103491),f18(x103492,a904,a904)),f329(f329(f8(f917(x103492,a904),f917(x103492,f917(a904,a904)),x103491),f329(f8(a904,f917(a904,a904),x103492),a327)),f329(f329(f7(x103491,f917(x103492,x103491),f917(x103492,a904)),f329(f329(f8(f917(x103491,a904),f917(f917(x103492,x103491),f917(x103492,a904)),x103491),f8(x103491,a904,x103492)),a326)),x103493)))),x103494)))))
% 192.24/192.22 [5373]E(x53731,x53732)+~E(f172(x53733,x53731,x53734),f172(x53733,x53732,x53735))
% 192.24/192.22 [5374]E(x53741,x53742)+~E(f130(x53743,x53744,x53741),f130(x53743,x53745,x53742))
% 192.24/192.22 [5375]E(x53751,x53752)+~E(f130(x53753,x53751,x53754),f130(x53753,x53752,x53755))
% 192.24/192.22 [8214]~E(f329(x82143,x82144),x82145)+E(f76(x82141,x82142,x82143,x82144,x82145),x82143)
% 192.24/192.22 [8753]~E(f76(x87534,x87535,x87531,x87532,x87533),x87531)+E(f329(x87531,x87532),x87533)
% 192.24/192.22 [9257]~P49(f32(x92571,x92575),x92572,x92573,x92574)+P49(x92571,x92572,x92573,f480(x92574,x92573,x92572,x92575,x92571))
% 192.24/192.22 [9258]~P49(f32(x92581,x92585),x92582,x92583,x92584)+P49(x92581,x92582,x92583,f491(x92584,x92583,x92582,x92585,x92581))
% 192.24/192.22 [9259]~P49(f32(x92595,x92591),x92594,x92593,x92592)+P49(x92591,f480(x92592,x92593,x92594,x92591,x92595),x92593,x92592)
% 192.24/192.22 [9260]~P49(f32(x92605,x92601),x92604,x92603,x92602)+P49(x92601,f491(x92602,x92603,x92604,x92601,x92605),x92603,x92602)
% 192.24/192.22 [9366]~P32(x93662,x93661,x93664,x93663,x93665)+P32(x93661,x93662,f94(x93662,x93661,x93663,x93664),x93665,x93663)
% 192.24/192.22 [6174]P1(f329(f255(x61741,x61742,x61743),x61744))+~P1(f329(f329(x61743,x61745),x61744))
% 192.24/192.22 [6176]P1(f329(f254(x61761,x61762,x61763),x61764))+~P1(f329(f329(x61763,x61764),x61765))
% 192.24/192.22 [6649]~E(x66495,f2(a104))+E(f329(f202(x66491,x66492,x66493,x66494),x66495),f120(x66492))
% 192.24/192.22 [6650]~E(x66505,f2(a104))+E(f329(f200(x66501,x66502,x66503,x66504),x66505),f128(x66502))
% 192.24/192.22 [6787]~E(x67873,f2(a104))+E(f329(f276(x67871,x67872,x67873,x67874),x67875),f329(f257(x67871,x67872),x67875))
% 192.24/192.22 [7845]~P26(x78454,x78451,x78452,x78455)+E(f329(f74(x78451,x78451,x78451,f329(x78452,x78453)),f329(x78452,x78453)),f329(x78452,x78453))
% 192.24/192.22 [8254]~P22(x82545,x82541,x82542)+E(f329(f74(x82541,x82541,x82541,f329(x82542,x82543)),f329(x82542,x82544)),f329(f74(x82541,x82541,x82541,f329(x82542,x82544)),f329(x82542,x82543)))
% 192.24/192.22 [8582]P1(f329(f329(f331(f916(x85821,x85821)),f329(f329(f257(x85821,x85821),x85822),x85823)),f323(x85821,x85824,x85825)))+~P1(f329(f329(f240(a909),f329(x85824,x85822)),f329(x85824,x85823)))
% 192.24/192.22 [8684]~P1(f329(f329(f331(x86844),x86843),f301(x86844,x86841,x86842,x86845)))+P1(f329(f329(x86841,x86842),x86843))
% 192.24/192.22 [8685]~P1(f329(f329(f331(x86854),x86853),f298(x86854,x86851,x86852,x86855)))+P1(f329(f329(x86851,x86852),x86853))
% 192.24/192.22 [8686]~P1(f329(f329(f331(x86864),x86862),f301(x86864,x86861,x86865,x86863)))+P1(f329(f329(x86861,x86862),x86863))
% 192.24/192.22 [8687]~P1(f329(f329(f331(x86874),x86872),f298(x86874,x86871,x86875,x86873)))+P1(f329(f329(x86871,x86872),x86873))
% 192.24/192.22 [8826]~P65(x88262,x88261,x88265,x88263,x88264)+E(f329(f312(x88261,x88262,x88263),x88264),f247(f917(x88262,a904)))
% 192.24/192.22 [9277]~P41(x92771,x92772,x92773,x92774,x92775)+P41(x92771,x92772,x92773,f329(f171(x92771),x92774),f329(f171(x92772),x92775))
% 192.24/192.22 [9279]~P41(x92791,x92792,x92793,f329(f171(x92791),x92794),x92795)+P41(x92791,x92792,x92793,x92794,f329(f171(x92792),x92795))
% 192.24/192.22 [9280]~P41(x92801,x92802,x92803,x92804,f329(f171(x92802),x92805))+P41(x92801,x92802,x92803,f329(f171(x92801),x92804),x92805)
% 192.24/192.22 [9286]P41(x92861,x92862,x92863,x92864,x92865)+~P41(x92861,x92862,x92863,f329(f171(x92861),x92864),f329(f171(x92862),x92865))
% 192.24/192.22 [9682]P1(f329(f329(f331(f916(f910(x96821),f910(x96821))),f329(f329(f257(f910(x96821),f910(x96821)),f329(f329(f154(x96821),x96822),x96823)),f329(f329(f154(x96821),x96822),x96824))),f160(x96821,x96825)))+~P1(f329(f329(f331(f916(f910(x96821),f910(x96821))),f329(f329(f257(f910(x96821),f910(x96821)),x96823),x96824)),f160(x96821,x96825)))
% 192.24/192.22 [9683]P1(f329(f329(f331(f916(f910(x96831),f910(x96831))),f329(f329(f257(f910(x96831),f910(x96831)),f329(f329(f137(x96831),x96832),x96833)),f329(f329(f137(x96831),x96832),x96834))),f150(x96831,x96835)))+~P1(f329(f329(f331(f916(f910(x96831),f910(x96831))),f329(f329(f257(f910(x96831),f910(x96831)),x96833),x96834)),f150(x96831,x96835)))
% 192.24/192.22 [9879]E(f329(f329(f154(x98791),f677(x98792,x98793,x98794,x98795,x98791)),f680(x98792,x98793,x98794,x98795,x98791)),x98795)+~P1(f329(f329(f331(f916(f910(x98791),f910(x98791))),f329(f329(f257(f910(x98791),f910(x98791)),x98795),f329(f329(f154(x98791),x98794),x98793))),f161(x98791,x98792)))
% 192.24/192.22 [9901]E(f329(f329(f154(x99011),f678(x99012,x99013,x99014,x99015,x99011)),f679(x99012,x99013,x99014,x99015,x99011)),x99013)+~P1(f329(f329(f331(f916(f910(x99011),f910(x99011))),f329(f329(f257(f910(x99011),f910(x99011)),f329(f329(f154(x99011),x99015),x99014)),x99013)),f161(x99011,x99012)))
% 192.24/192.22 [10046]~P1(f329(f329(f331(f916(f910(x100461),f910(x100461))),f329(f329(f257(f910(x100461),f910(x100461)),f329(f329(f154(x100461),x100465),x100462)),x100464)),f161(x100461,x100463)))+P1(f329(f329(f331(f916(f910(x100461),f910(x100461))),f329(f329(f257(f910(x100461),f910(x100461)),x100462),f679(x100463,x100464,x100462,x100465,x100461))),f161(x100461,x100463)))
% 192.24/192.22 [10115]~P1(f329(f329(f331(f916(f910(x101151),f910(x101151))),f329(f329(f257(f910(x101151),f910(x101151)),x101155),f329(f329(f154(x101151),x101154),x101153))),f161(x101151,x101152)))+P1(f329(f329(f331(f916(f910(x101151),f910(x101151))),f329(f329(f257(f910(x101151),f910(x101151)),f680(x101152,x101153,x101154,x101155,x101151)),x101153)),f161(x101151,x101152)))
% 192.24/192.22 [10297]P1(f329(f329(f331(f916(x102971,x102971)),f329(f329(f257(x102971,x102971),f329(x102972,f329(f329(f82(a909),x102973),x102974))),f329(x102972,x102973))),f309(x102971,x102975)))+~P1(f329(f329(f331(f916(x102971,x102971)),f329(f329(f257(x102971,x102971),f329(x102972,f329(a117,f597(x102974,x102973,x102975,x102972,x102971)))),f329(x102972,f597(x102974,x102973,x102975,x102972,x102971)))),f309(x102971,x102975)))
% 192.24/192.22 [5341]E(x53411,x53412)+~E(f329(f329(f154(x53413),x53414),x53411),f329(f329(f154(x53413),x53415),x53412))
% 192.24/192.22 [5342]E(x53421,x53422)+~E(f329(f329(f154(x53423),x53421),x53424),f329(f329(f154(x53423),x53422),x53425))
% 192.24/192.22 [5390]P1(f329(x53901,x53902))+~E(f329(f139(x53903,x53901),x53904),f329(f329(f154(x53903),x53902),x53905))
% 192.24/192.22 [5391]P1(f329(x53911,x53912))+~E(f329(f329(f154(x53913),x53912),x53914),f329(f139(x53913,x53911),x53915))
% 192.24/192.22 [5546]~E(f329(f329(f141(x55461),x55463),x55462),f329(f329(f154(x55461),x55464),x55465))+E(f329(f329(f167(x55461),x55462),x55463),x55464)
% 192.24/192.22 [5684]~P20(x56844,x56845,x56841)+E(f329(f329(x56841,x56842),f329(f329(x56841,x56842),x56843)),f329(f329(x56841,x56842),x56843))
% 192.24/192.22 [6233]~E(x62334,f2(a104))+E(f329(f329(f122(x62331,x62332,x62333),x62334),x62335),f329(f329(f257(f910(x62332),x62331),f118(x62332)),x62335))
% 192.24/192.22 [6302]~P112(x63022)+~E(f329(f329(f151(x63021,x63022,x63023),x63024),x63025),f118(x63021))
% 192.24/192.22 [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))))
% 192.24/192.22 [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))))
% 192.24/192.22 [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))
% 192.24/192.22 [7007]~P1(f329(x70074,f329(x70073,x70075)))+P1(f329(f329(f313(x70071,x70072,x70073),x70074),x70075))
% 192.24/192.22 [7010]~P1(f329(f329(x70103,x70105),x70104))+P1(f329(f329(f248(x70101,x70102,x70103),x70104),x70105))
% 192.24/192.22 [7105]~E(f329(f312(x71051,x71052,x71053),x71054),x71055)+E(f329(f312(f917(x71051,a904),f917(x71052,a904),f312(x71051,x71052,x71053)),f329(f310(x71051),x71054)),f329(f310(x71052),x71055))
% 192.24/192.22 [7449]P31(x74491,x74492,x74493,x74494)+~P31(x74491,x74492,x74493,f329(f329(f311(x74491),x74495),x74494))
% 192.24/192.22 [7515]P1(f329(x75151,x75152))+~P1(f329(f329(f95(x75153,x75154,x75151),x75155),x75152))
% 192.24/192.22 [7563]~P1(f329(f329(f331(x75634),x75633),x75635))+P1(f329(f329(f331(x75631),f329(x75632,x75633)),f329(f312(x75634,x75631,x75632),x75635)))
% 192.24/192.22 [7585]~P112(x75852)+E(f153(x75851,x75852,x75853,f329(f139(x75851,x75854),x75855)),f329(f139(x75851,x75854),f153(x75851,x75852,x75853,x75855)))
% 192.24/192.22 [7616]P1(f329(x76161,f329(x76162,x76163)))+~P1(f329(f329(f313(x76164,x76165,x76162),x76161),x76163))
% 192.24/192.22 [7619]P1(f329(f329(x76191,x76192),x76193))+~P1(f329(f329(f248(x76194,x76195,x76191),x76193),x76192))
% 192.24/192.22 [7620]P1(f329(f329(x76201,x76202),x76203))+~P1(f329(f329(f95(x76204,x76201,x76205),x76202),x76203))
% 192.24/192.22 [7681]~P1(f329(f329(f331(x76813),f329(x76814,x76812)),x76815))+P1(f329(f329(f331(x76811),x76812),f329(f313(x76811,x76813,x76814),x76815)))
% 192.24/192.22 [8085]~P1(f329(f329(f331(x80855),x80853),f329(f313(x80855,x80851,x80852),x80854)))+P1(f329(f329(f331(x80851),f329(x80852,x80853)),x80854))
% 192.24/192.22 [8392]~P22(x83922,x83921,x83923)+E(f329(f145(x83921,x83922,f329(f7(x83922,x83921,x83921),x83923),x83924),f155(x83922,x83925)),f329(f329(f65(x83922,x83921,x83923),x83924),f329(f175(x83922),x83925)))
% 192.24/192.22 [8414]E(f329(x84141,f892(x84142,x84141,x84143,x84144)),x84144)+~P1(f329(f329(f331(x84145),x84144),f329(f312(x84143,x84145,x84141),x84142)))
% 192.24/192.22 [8415]E(f329(x84151,f901(x84152,x84151,x84153,x84154)),x84154)+~P1(f329(f329(f331(x84155),x84154),f329(f312(x84153,x84155,x84151),x84152)))
% 192.24/192.22 [8730]~E(x87302,f329(f329(f154(x87301),x87304),x87305))+P1(f329(f329(f331(f916(f910(x87301),f910(x87301))),f329(f329(f257(f910(x87301),f910(x87301)),f118(x87301)),x87302)),f150(x87301,x87303)))
% 192.24/192.22 [8773]E(f329(x87731,f329(f94(x87732,x87733,x87734,x87731),x87735)),x87735)+~P1(f329(f329(f331(x87733),x87735),f329(f312(x87732,x87733,x87731),x87734)))
% 192.24/192.22 [8776]P31(x87761,x87762,f94(x87762,x87761,x87763,x87764),x87765)+~P1(f329(f329(f239(f917(x87761,a904)),x87765),f329(f312(x87762,x87761,x87764),x87763)))
% 192.24/192.22 [8783]~P41(x87831,x87833,x87835,x87832,x87834)+E(f329(f192(f910(x87831)),x87832),f329(f192(f910(x87833)),x87834))
% 192.24/192.22 [8794]P1(f329(f329(f239(f917(x87941,a904)),f329(f329(f41(x87942,f917(x87941,a904)),x87943),x87944)),f329(x87944,x87945)))+~P1(f329(f329(f331(x87942),x87945),x87943))
% 192.24/192.22 [8842]~P65(x88421,x88422,x88423,x88425,x88424)+E(f329(f312(x88421,x88422,x88423),f247(f917(x88421,a904))),x88424)
% 192.24/192.22 [9063]E(f329(f139(x90631,x90632),f765(x90633,x90634,x90635,x90632,x90631)),x90633)+~E(f329(f139(x90631,x90632),x90635),f329(f329(f154(x90631),x90634),x90633))
% 192.24/192.22 [9064]E(f329(f139(x90641,x90642),f770(x90643,x90642,x90644,x90645,x90641)),x90644)+~E(f329(f329(f154(x90641),x90645),x90644),f329(f139(x90641,x90642),x90643))
% 192.24/192.22 [9158]E(f329(f192(f910(x91581)),x91582),x91583)+~P1(f329(f329(f331(f916(f910(x91581),f910(x91581))),f329(f329(f257(f910(x91581),f910(x91581)),x91584),x91582)),f329(f146(x91581,x91585),x91583)))
% 192.24/192.22 [9159]E(f329(f192(f910(x91591)),x91592),x91593)+~P1(f329(f329(f331(f916(f910(x91591),f910(x91591))),f329(f329(f257(f910(x91591),f910(x91591)),x91592),x91594)),f329(f146(x91591,x91595),x91593)))
% 192.24/192.22 [9227]P1(f329(f329(f331(x92271),f892(x92272,x92273,x92271,x92274)),x92272))+~P1(f329(f329(f331(x92275),x92274),f329(f312(x92271,x92275,x92273),x92272)))
% 192.24/192.22 [9228]P1(f329(f329(f331(x92281),f901(x92282,x92283,x92281,x92284)),x92282))+~P1(f329(f329(f331(x92285),x92284),f329(f312(x92281,x92285,x92283),x92282)))
% 192.24/192.22 [9391]~P47(f917(x93913,a904),f917(x93911,a904),x93912)+P1(f329(f329(f239(f917(x93911,a904)),f329(x93912,f329(f329(f106(f917(x93913,a904)),x93914),x93915))),f329(f329(f106(f917(x93911,a904)),f329(x93912,x93914)),f329(x93912,x93915))))
% 192.24/192.22 [9393]E(f329(f312(x93931,x93932,x93933),f868(x93934,x93933,x93931,x93935,x93932)),x93935)+~P1(f329(f329(f239(f917(x93932,a904)),x93935),f329(f312(x93931,x93932,x93933),x93934)))
% 192.24/192.22 [9700]P1(f329(f329(f331(f916(f910(x97001),f910(x97001))),f329(f329(f257(f910(x97001),f910(x97001)),f329(f329(f154(x97001),x97002),x97003)),f329(f329(f154(x97001),x97002),x97004))),f309(f910(x97001),f160(x97001,x97005))))+~P1(f329(f329(f331(f916(f910(x97001),f910(x97001))),f329(f329(f257(f910(x97001),f910(x97001)),x97003),x97004)),f309(f910(x97001),f160(x97001,x97005))))
% 192.24/192.22 [9731]~E(f329(x97313,f717(x97315,x97314,x97313,x97312,x97311)),f329(x97315,f717(x97315,x97314,x97313,x97312,x97311)))+E(f329(f329(f157(x97311,x97312),x97313),x97314),f329(f329(f157(x97311,x97312),x97315),x97314))
% 192.24/192.22 [9808]~E(f329(f139(x98081,x98085),x98084),f329(f329(f154(x98081),x98083),x98082))+E(f329(f329(f137(x98081),f766(x98082,x98083,x98084,x98085,x98081)),f329(f329(f154(x98081),x98083),f765(x98082,x98083,x98084,x98085,x98081))),x98084)
% 192.24/192.22 [9809]~E(f329(f329(f154(x98091),x98095),x98094),f329(f139(x98091,x98093),x98092))+E(f329(f329(f137(x98091),f768(x98092,x98093,x98094,x98095,x98091)),f329(f329(f154(x98091),x98095),f770(x98092,x98093,x98094,x98095,x98091))),x98092)
% 192.24/192.22 [9813]E(f329(f329(f157(x98131,x98132),x98133),x98134),f329(f329(f157(x98131,x98132),x98135),x98134))+P1(f329(f329(f331(x98131),f717(x98133,x98134,x98135,x98132,x98131)),f329(f175(x98131),x98134)))
% 192.24/192.22 [9844]~P1(f329(f329(f331(x98445),x98444),f329(f288(x98441,x98445,x98443),x98442)))+P1(f329(f329(f331(x98441),f502(x98442,x98443,x98441,x98444,x98445)),x98442))
% 192.24/192.22 [9845]~P1(f329(f329(f331(x98455),x98454),f329(f288(x98451,x98455,x98453),x98452)))+P1(f329(f329(f331(x98451),f529(x98452,x98453,x98451,x98454,x98455)),x98452))
% 192.24/192.22 [9873]~P1(f329(f329(f239(f917(x98735,a904)),x98734),f329(f312(x98731,x98735,x98733),x98732)))+P1(f329(f329(f239(f917(x98731,a904)),f868(x98732,x98733,x98731,x98734,x98735)),x98732))
% 192.24/192.22 [10298]E(x102981,f2(a104))+E(f227(f916(f910(x102982),x102983),f916(x102982,x102983),f329(f329(f257(f910(x102982),x102983),f118(x102982)),x102984),f329(f262(x102982,x102983,f916(f910(x102982),x102983)),f329(f329(f7(x102982,f917(x102983,f916(f910(x102982),x102983)),f917(x102983,f916(f910(x102982),x102983))),f329(f329(f8(f917(f916(f910(x102982),x102983),f916(f910(x102982),x102983)),f917(f917(x102983,f916(f910(x102982),x102983)),f917(x102983,f916(f910(x102982),x102983))),x102982),f8(f916(f910(x102982),x102983),f916(f910(x102982),x102983),x102983)),f329(f329(f8(f917(f910(x102982),f917(x102983,f916(f910(x102982),x102983))),f917(f916(f910(x102982),x102983),f916(f910(x102982),x102983)),x102982),f262(f910(x102982),x102983,f916(f910(x102982),x102983))),f329(f329(f8(f917(f910(x102982),f910(x102982)),f917(f910(x102982),f917(x102983,f916(f910(x102982),x102983))),x102982),f329(f8(f910(x102982),f917(x102983,f916(f910(x102982),x102983)),f910(x102982)),f257(f910(x102982),x102983))),f154(x102982))))),f329(f122(x102983,x102982,x102985),f329(f329(f23(a104),x102981),f80(a104))))),f329(x102985,x102984)),f329(f329(f122(x102983,x102982,x102985),x102981),x102984))
% 192.24/192.22 [6112]E(x61121,x61122)+~E(f329(f261(x61123,x61124),f329(f329(f257(x61123,x61124),x61125),x61121)),x61122)
% 192.24/192.22 [6113]E(x61131,x61132)+~E(f329(f256(x61133,x61134),f329(f329(f257(x61133,x61134),x61131),x61135)),x61132)
% 192.24/192.22 [6376]~E(x63763,f329(f329(f137(x63761),x63764),f329(f329(f154(x63761),x63762),x63765)))+P1(f329(f329(f331(x63761),x63762),f329(f175(x63761),x63763)))
% 192.24/192.22 [6773]E(f329(f312(x67731,x67732,f329(f16(x67732,x67731),x67733)),x67734),f329(f329(f311(x67732),x67733),f191(f917(x67732,a904))))+~P1(f329(f329(f331(x67731),x67735),x67734))
% 192.24/192.22 [6844]E(f329(f329(f115(f917(x68441,a904)),f329(f175(x68441),x68442)),f329(f175(x68441),x68443)),f329(f175(x68441),x68444))+~E(f169(x68441,x68445,x68444),f329(f329(f257(f910(x68441),f910(x68441)),x68442),x68443))
% 192.24/192.22 [6943]~P112(x69432)+E(f329(f192(f910(x69431)),f329(f329(f151(x69431,x69432,x69433),x69434),x69435)),f329(a117,f329(f192(f910(x69431)),x69435)))
% 192.24/192.22 [6955]~P112(x69552)+E(f329(f175(x69551),f329(f329(f151(x69551,x69552,x69553),x69554),x69555)),f329(f329(f311(x69551),x69554),f329(f175(x69551),x69555)))
% 192.24/192.22 [7225]~P116(x72251)+E(f329(f329(f82(x72251),f329(f329(f82(x72251),x72252),x72253)),f329(f329(f82(x72251),x72254),x72255)),f329(f329(f82(x72251),f329(f329(f82(x72251),x72252),x72254)),f329(f329(f82(x72251),x72253),x72255)))
% 192.24/192.22 [7226]~P116(x72261)+E(f329(f329(f83(x72261),f329(f329(f83(x72261),x72262),x72263)),f329(f329(f83(x72261),x72264),x72265)),f329(f329(f83(x72261),f329(f329(f83(x72261),x72262),x72264)),f329(f329(f83(x72261),x72263),x72265)))
% 192.24/192.22 [7227]~P70(x72271)+E(f329(f329(f292(x72271),f329(f329(f83(x72271),x72272),x72273)),f329(f329(f83(x72271),x72274),x72275)),f329(f329(f83(x72271),f329(f329(f292(x72271),x72272),x72274)),f329(f329(f292(x72271),x72273),x72275)))
% 192.24/192.22 [7241]~P112(x72411)+E(f308(x72411,f329(f329(f238(x72411),x72412),x72413),f329(f329(f237(x72411),x72414),x72415)),f329(f329(f106(f917(x72411,a904)),f308(x72411,x72412,x72414)),f308(x72411,x72413,x72415)))
% 192.24/192.22 [7242]~P112(x72421)+E(f307(x72421,f329(f329(f238(x72421),x72422),x72423),f329(f329(f237(x72421),x72424),x72425)),f329(f329(f106(f917(x72421,a904)),f307(x72421,x72422,x72424)),f307(x72421,x72423,x72425)))
% 192.24/192.22 [7243]~P112(x72431)+E(f305(x72431,f329(f329(f238(x72431),x72432),x72433),f329(f329(f237(x72431),x72434),x72435)),f329(f329(f106(f917(x72431,a904)),f305(x72431,x72432,x72434)),f305(x72431,x72433,x72435)))
% 192.24/192.22 [7244]~P112(x72441)+E(f329(f329(f106(f917(x72441,a904)),f329(f304(x72441,x72442),x72443)),f329(f304(x72441,x72444),x72445)),f329(f304(x72441,f329(f329(f238(x72441),x72442),x72444)),f329(f329(f237(x72441),x72443),x72445)))
% 192.24/192.22 [7367]~P1(f329(x73671,f484(x73673,x73672,x73671)))+P1(f329(x73671,f329(f329(f257(x73672,x73673),x73674),x73675)))
% 192.24/192.22 [7482]~E(x74822,f329(x74824,x74825))+P1(f329(f329(f331(x74821),x74822),f329(f312(x74823,x74821,x74824),f247(f917(x74823,a904)))))
% 192.24/192.22 [7560]~P20(x75603,x75602,x75604)+P20(x75601,x75602,f329(f329(f8(x75603,f917(x75602,x75602),x75601),x75604),x75605))
% 192.24/192.22 [7561]~P22(x75613,x75612,x75614)+P22(x75611,x75612,f329(f329(f8(x75613,f917(x75612,x75612),x75611),x75614),x75615))
% 192.24/192.22 [7698]~P31(x76981,x76982,x76983,x76984)+P31(x76981,x76982,x76983,f329(f329(f23(f917(x76981,a904)),x76984),x76985))
% 192.24/192.22 [7854]~P1(f329(f329(x78543,x78544),x78545))+P1(f329(f329(f262(x78541,x78542,a904),x78543),f329(f329(f257(x78541,x78542),x78544),x78545)))
% 192.24/192.22 [7974]~P1(f329(x79742,x79744))+~E(f329(f329(f141(x79741),f329(f192(f910(x79741)),f180(x79741,x79742,x79743))),x79743),f329(f329(f154(x79741),x79744),x79745))
% 192.24/192.22 [7994]P31(x79941,x79942,x79943,x79944)+~P31(x79941,x79942,x79943,f329(f329(f115(f917(x79941,a904)),x79945),x79944))
% 192.24/192.22 [7995]P31(x79951,x79952,x79953,x79954)+~P31(x79951,x79952,x79953,f329(f329(f115(f917(x79951,a904)),x79954),x79955))
% 192.24/192.22 [8042]~P112(x80422)+E(f329(f329(f151(x80421,x80422,x80423),x80424),f153(x80421,x80422,x80423,x80425)),f153(x80421,x80422,x80423,f329(f329(f154(x80421),x80424),x80425)))
% 192.24/192.22 [8211]~P34(x82111,f329(a117,x82112),f329(f329(f329(f93(x82111),x82113),f329(a26,x82114)),x82115))+P34(x82111,x82112,f329(f329(f329(f93(x82111),x82113),f329(f236(a905),f329(a27,x82114))),x82115))
% 192.24/192.22 [8340]P34(x83401,f329(a117,x83402),f329(f329(f329(f93(x83401),x83403),f329(a26,x83404)),x83405))+~P34(x83401,x83402,f329(f329(f329(f93(x83401),x83403),f329(f236(a905),f329(a27,x83404))),x83405))
% 192.24/192.22 [8369]~P20(x83692,x83691,x83693)+E(f329(f145(x83691,x83692,f329(f7(x83692,x83691,x83691),x83693),x83694),x83695),f329(f329(f65(x83692,x83691,x83693),x83694),f329(f175(x83692),x83695)))
% 192.24/192.22 [8397]~E(f329(f329(f141(x83971),f329(f192(f910(x83971)),f180(x83971,x83972,x83973))),x83973),f329(f329(f154(x83971),x83974),x83975))+E(f329(f329(f137(x83971),f180(x83971,x83972,x83973)),f329(f329(f154(x83971),x83974),x83975)),x83973)
% 192.24/192.22 [8425]P1(f329(f329(x84251,x84252),x84253))+~P1(f329(f329(f262(x84254,x84255,a904),x84251),f329(f329(f257(x84254,x84255),x84252),x84253)))
% 192.24/192.22 [8497]P49(x84974,f375(x84975,x84974,x84973,x84972),x84972,f389(x84975,x84974,x84973,x84972))+P34(x84971,x84972,f329(f329(f329(f93(x84971),x84973),x84974),x84975))
% 192.24/192.22 [8899]P1(f329(f329(f239(f917(x88991,a904)),f329(f312(x88992,x88991,x88993),x88994)),f329(f312(x88992,x88991,x88993),x88995)))+~P1(f329(f329(f239(f917(x88992,a904)),x88994),x88995))
% 192.24/192.22 [8900]P1(f329(f329(f239(f917(x89001,a904)),f329(f313(x89001,x89002,x89003),x89004)),f329(f313(x89001,x89002,x89003),x89005)))+~P1(f329(f329(f239(f917(x89002,a904)),x89004),x89005))
% 192.24/192.22 [8975]E(x89751,f2(a104))+E(f329(f329(f264(x89752,x89753,x89752,f916(x89753,x89752)),f329(x89754,x89755)),f276(x89753,x89752,f329(f329(f23(a104),x89751),f80(a104)),x89754)),f329(f276(x89753,x89752,x89751,x89754),x89755))
% 192.24/192.22 [9088]P1(f329(f329(f260(x90881,x90882,a904,x90883),x90884),x90885))+~P1(f329(x90883,f329(f329(f257(x90881,x90882),x90884),x90885)))
% 192.24/192.22 [9310]P34(x93101,x93102,f329(f329(f329(f93(x93101),x93103),x93104),x93105))+P1(f329(f329(x93103,f384(x93105,x93104,x93103,x93102)),f375(x93105,x93104,x93103,x93102)))
% 192.24/192.22 [9371]~P1(f329(f329(f260(x93712,x93713,a904,x93711),x93714),x93715))+P1(f329(x93711,f329(f329(f257(x93712,x93713),x93714),x93715)))
% 192.24/192.22 [9548]P34(x95481,x95482,f329(f329(f329(f93(x95481),x95483),x95484),x95485))+~P1(f329(f329(x95485,f384(x95485,x95484,x95483,x95482)),f389(x95485,x95484,x95483,x95482)))
% 192.24/192.22 [9551]~P1(f329(f329(f331(x95512),x95515),f329(f312(x95511,x95512,x95514),x95513)))+P1(f329(f329(f331(x95511),f329(f94(x95511,x95512,x95513,x95514),x95515)),x95513))
% 192.24/192.22 [9618]~P30(x96181,x96182,f329(f329(f311(f908(x96181)),f329(f329(f329(f93(x96181),x96183),f329(f236(a905),f329(a27,x96184))),x96185)),f191(f917(f908(x96181),a904))))+P30(x96181,x96182,f329(f329(f311(f908(x96181)),f329(f329(f329(f93(x96181),x96183),f329(a26,x96184)),x96185)),f191(f917(f908(x96181),a904))))
% 192.24/192.22 [9643]~P1(f329(f62(x96433),f329(f312(x96432,x96433,x96435),f247(f917(x96432,a904)))))+P1(f329(f62(x96431),f329(f312(x96432,x96431,f329(f329(f8(x96433,x96431,x96432),x96434),x96435)),f247(f917(x96432,a904)))))
% 192.24/192.22 [9667]P1(f329(f329(f239(f917(f917(x96671,a904),a904)),f329(f312(f917(x96672,a904),f917(x96671,a904),f312(x96672,x96671,x96673)),f329(f310(x96672),x96674))),f329(f310(x96671),x96675)))+~P1(f329(f329(f239(f917(x96671,a904)),f329(f312(x96672,x96671,x96673),x96674)),x96675))
% 192.24/192.22 [9740]E(x97401,x97402)+~P1(f329(f67(x97403,x97404,x97405,x97401,f191(f917(x97403,a904))),x97402))
% 192.24/192.22 [9757]E(f329(f329(f257(x97571,x97572),f550(x97573,x97574,x97575,x97572,x97571)),f552(x97573,x97574,x97575,x97572,x97571)),x97575)+~P1(f329(f329(f331(f916(x97571,x97572)),x97575),f329(f329(f259(x97571,x97572),x97574),x97573)))
% 192.24/192.22 [9849]P1(f329(f329(f331(x98491),f550(x98492,x98493,x98494,x98495,x98491)),x98493))+~P1(f329(f329(f331(f916(x98491,x98495)),x98494),f329(f329(f259(x98491,x98495),x98493),x98492)))
% 192.24/192.22 [9951]P30(x99515,x99514,f329(f329(f311(f908(x99515)),f329(f329(f329(f93(x99515),x99511),x99513),x99512)),f191(f917(f908(x99515),a904))))+P1(f329(f329(x99511,f415(x99512,x99513,x99514,x99515,x99511)),f425(x99512,x99513,x99514,x99515,x99511)))
% 192.24/192.22 [10003]P1(f329(f329(f331(x100031),f552(x100032,x100033,x100034,x100031,x100035)),f329(x100032,f550(x100032,x100033,x100034,x100031,x100035))))+~P1(f329(f329(f331(f916(x100035,x100031)),x100034),f329(f329(f259(x100035,x100031),x100033),x100032)))
% 192.24/192.22 [10023]P1(f329(f329(f331(f916(x100231,x100231)),f329(f329(f257(x100231,x100231),x100232),f623(x100233,x100234,x100235,x100232,x100231))),x100233))+~P1(f329(f329(f331(f916(x100231,x100231)),f329(f329(f257(x100231,x100231),x100232),x100235)),f329(f329(f186(f916(x100231,x100231),a904),f329(a117,x100234)),x100233)))
% 192.24/192.22 [10024]P1(f329(f329(f331(f916(x100241,x100241)),f329(f329(f257(x100241,x100241),x100242),f624(x100243,x100244,x100245,x100242,x100241))),x100243))+~P1(f329(f329(f331(f916(x100241,x100241)),f329(f329(f257(x100241,x100241),x100242),x100245)),f329(f329(f186(f916(x100241,x100241),a904),f329(a117,x100244)),x100243)))
% 192.24/192.22 [10041]~P1(f329(f329(f331(f916(f910(x100411),f910(x100411))),f329(f329(f257(f910(x100411),f910(x100411)),f329(f329(f154(x100411),x100412),x100415)),x100414)),f161(x100411,x100413)))+P1(f329(f329(f331(f916(x100411,x100411)),f329(f329(f257(x100411,x100411),x100412),f678(x100413,x100414,x100415,x100412,x100411))),x100413))
% 192.24/192.22 [10043]~P30(x100431,x100432,f329(f329(f311(f908(x100431)),f329(f329(f329(f93(x100431),f95(x100431,x100433,x100434)),x100435),x100433)),f191(f917(f908(x100431),a904))))+P30(x100431,x100432,f329(f329(f311(f908(x100431)),f329(f329(f329(f93(x100431),x100433),f31(x100434,x100435)),f95(x100431,x100433,f329(f74(a904,a904,a906,a324),x100434)))),f191(f917(f908(x100431),a904))))
% 192.24/192.22 [10044]~P35(x100441,x100442,f329(f329(f311(f908(x100441)),f329(f329(f329(f93(x100441),f95(x100441,x100443,x100444)),x100445),x100443)),f191(f917(f908(x100441),a904))))+P35(x100441,x100442,f329(f329(f311(f908(x100441)),f329(f329(f329(f93(x100441),x100443),f31(x100444,x100445)),f95(x100441,x100443,f329(f74(a904,a904,a906,a324),x100444)))),f191(f917(f908(x100441),a904))))
% 192.24/192.22 [10322]P30(x103221,x103222,f329(f329(f311(f908(x103221)),f329(f329(f329(f93(x103221),x103223),x103224),x103225)),f191(f917(f908(x103221),a904))))+~P30(x103221,x103222,f329(f329(f311(f908(x103221)),f329(f329(f329(f93(x103221),f329(f16(f917(a906,a904),x103221),f329(f329(f7(a906,a906,a904),a326),f425(x103225,x103224,x103222,x103221,x103223)))),x103224),f329(f16(f917(a906,a904),x103221),f329(x103225,f415(x103225,x103224,x103222,x103221,x103223))))),f191(f917(f908(x103221),a904))))
% 192.24/192.22 [6452]P1(f329(x64522,x64524))+E(f180(x64521,x64522,f329(f329(f137(x64521),x64523),f329(f329(f154(x64521),x64524),x64525))),f180(x64521,x64522,x64523))
% 192.24/192.22 [6502]~P2(x65022)+E(f329(f329(f329(f115(f917(x65021,x65022)),x65023),x65024),x65025),f329(f329(f115(x65022),f329(x65023,x65025)),f329(x65024,x65025)))
% 192.24/192.22 [6504]~P81(x65042)+E(f329(f329(f329(f23(f917(x65041,x65042)),x65043),x65044),x65045),f329(f329(f23(x65042),f329(x65043,x65045)),f329(x65044,x65045)))
% 192.24/192.22 [6506]~P2(x65062)+E(f329(f329(f329(f106(f917(x65061,x65062)),x65063),x65064),x65065),f329(f329(f106(x65062),f329(x65063,x65065)),f329(x65064,x65065)))
% 192.24/192.22 [6525]E(x65251,x65252)+E(f329(f329(f167(x65253),f329(f329(f162(x65253,x65254),x65251),x65255)),x65252),f329(f329(f167(x65253),x65254),x65252))
% 192.24/192.22 [6792]~E(x67924,f191(f917(x67923,a904)))+E(f329(f329(f115(f917(x67921,a904)),x67922),f329(f329(f40(x67923,f917(x67921,a904)),x67924),x67925)),x67922)
% 192.24/192.22 [6793]~E(x67934,f191(f917(x67933,a904)))+E(f329(f329(f23(f917(x67931,a904)),x67932),f329(f329(f40(x67933,f917(x67931,a904)),x67934),x67935)),x67932)
% 192.24/192.22 [6794]~E(x67944,f191(f917(x67943,a904)))+E(f329(f329(f106(f917(x67941,a904)),x67942),f329(f329(f41(x67943,f917(x67941,a904)),x67944),x67945)),x67942)
% 192.24/192.22 [6810]~E(x68104,f191(f917(x68103,a904)))+E(f329(f329(f311(x68101),x68102),f329(f329(f40(x68103,f917(x68101,a904)),x68104),x68105)),f329(f329(f311(x68101),x68102),f191(f917(x68101,a904))))
% 192.24/192.22 [7607]E(f329(f329(f167(x76071),f329(f329(f157(x76072,x76071),x76073),x76074)),x76075),f329(x76073,f329(f329(f167(x76072),x76074),x76075)))+~P1(f329(f329(f240(a909),x76075),f329(f192(f910(x76072)),x76074)))
% 192.24/192.22 [7669]E(f329(f329(f115(f917(x76691,a904)),f329(x76692,x76693)),f329(f329(f40(x76694,f917(x76691,a904)),x76695),x76692)),f329(f329(f40(x76694,f917(x76691,a904)),x76695),x76692))+~P1(f329(f329(f331(x76694),x76693),x76695))
% 192.24/192.22 [7670]E(f329(f329(f106(f917(x76701,a904)),f329(x76702,x76703)),f329(f329(f41(x76704,f917(x76701,a904)),x76705),x76702)),f329(f329(f41(x76704,f917(x76701,a904)),x76705),x76702))+~P1(f329(f329(f331(x76704),x76703),x76705))
% 192.24/192.22 [8290]~E(x82903,f191(f917(x82901,a904)))+E(f329(f329(f40(x82901,f917(x82902,a904)),x82903),f329(f329(f8(f917(x82902,a904),f917(x82902,a904),x82901),f329(f311(x82902),x82904)),x82905)),f191(f917(x82902,a904)))
% 192.24/192.22 [8296]~P1(f329(f329(f331(x82964),x82963),x82965))+P1(f329(f329(f239(f917(x82961,a904)),f329(x82962,x82963)),f329(f329(f40(x82964,f917(x82961,a904)),x82965),x82962)))
% 192.24/192.22 [8424]~E(f329(x84244,x84242),x84245)+P1(f329(f329(f331(x84241),x84242),f329(f313(x84241,x84243,x84244),f329(f329(f311(x84243),x84245),f191(f917(x84243,a904))))))
% 192.24/192.22 [8472]~P63(x84721,x84722,f329(f289(x84722,x84721),x84723))+E(f329(f329(f106(f917(x84721,a904)),f329(f288(x84722,x84721,x84723),x84724)),f329(f288(x84722,x84721,x84723),x84725)),f329(f288(x84722,x84721,x84723),f329(f329(f106(f917(x84722,a904)),x84724),x84725)))
% 192.24/192.22 [8548]E(x85481,f2(a104))+E(f329(f123(x85482,x85483,f329(x85484,f329(f329(f23(a104),x85481),f80(a104)))),f329(f329(f7(x85482,a104,f911(x85483)),x85485),x85481)),f329(f202(x85482,x85483,x85484,x85485),x85481))
% 192.24/192.22 [8592]E(x85921,f191(f917(x85922,a904)))+E(f329(f329(f40(x85922,f917(x85923,a904)),x85921),f329(f329(f8(f917(x85923,a904),f917(x85923,a904),x85922),f329(f311(x85923),x85924)),x85925)),f329(f329(f311(x85923),x85924),f329(f329(f40(x85922,f917(x85923,a904)),x85921),x85925)))
% 192.24/192.22 [8650]~P31(x86502,x86501,x86503,f247(f917(x86502,a904)))+E(f329(f329(f23(f917(x86501,a904)),f329(f312(x86502,x86501,x86503),x86504)),f329(f312(x86502,x86501,x86503),x86505)),f329(f312(x86502,x86501,x86503),f329(f329(f23(f917(x86502,a904)),x86504),x86505)))
% 192.24/192.22 [8651]~P31(x86512,x86511,x86513,f247(f917(x86512,a904)))+E(f329(f329(f106(f917(x86511,a904)),f329(f312(x86512,x86511,x86513),x86514)),f329(f312(x86512,x86511,x86513),x86515)),f329(f312(x86512,x86511,x86513),f329(f329(f106(f917(x86512,a904)),x86514),x86515)))
% 192.24/192.22 [8717]~P1(f329(f329(f68(x87171,x87172,x87175),x87173),x87174))+P1(f329(f329(f331(f916(x87171,x87172)),f329(f329(f257(x87171,x87172),x87173),x87174)),x87175))
% 192.24/192.22 [8748]P1(f329(f329(f331(x87481),x87482),f329(f287(x87483,x87481),x87484)))+~P1(f329(f329(f331(f916(x87483,x87481)),f329(f329(f257(x87483,x87481),x87485),x87482)),x87484))
% 192.24/192.22 [8750]P1(f329(f329(f331(x87501),x87502),f329(f269(x87501,x87503),x87504)))+~P1(f329(f329(f331(f916(x87501,x87503)),f329(f329(f257(x87501,x87503),x87502),x87505)),x87504))
% 192.24/192.22 [8883]P1(f329(f329(f68(x88831,x88832,x88833),x88834),x88835))+~P1(f329(f329(f331(f916(x88831,x88832)),f329(f329(f257(x88831,x88832),x88834),x88835)),x88833))
% 192.24/192.22 [8922]E(f329(x89221,x89222),x89223)+~P1(f329(f329(f331(x89224),x89222),f329(f313(x89224,x89225,x89221),f329(f329(f311(x89225),x89223),f191(f917(x89225,a904))))))
% 192.24/192.22 [9155]P1(f329(f329(f331(f916(x91551,x91552)),f329(f329(f257(x91551,x91552),x91553),x91554)),f329(f289(x91552,x91551),x91555)))+~P1(f329(f329(f331(f916(x91552,x91551)),f329(f329(f257(x91552,x91551),x91554),x91553)),x91555))
% 192.24/192.22 [9173]~P1(f329(f329(x91731,x91735),x91734))+P1(f329(f329(x91731,f329(f261(x91732,x91733),f329(f329(f257(x91732,x91733),x91734),x91735))),f329(f256(x91732,x91733),f329(f329(f257(x91732,x91733),x91734),x91735))))
% 192.24/192.22 [9202]~P1(f329(f329(f331(f916(x92022,x92021)),f329(f329(f257(x92022,x92021),x92024),x92023)),f329(f289(x92021,x92022),x92025)))+P1(f329(f329(f331(f916(x92021,x92022)),f329(f329(f257(x92021,x92022),x92023),x92024)),x92025))
% 192.24/192.22 [9235]~P1(f329(f329(f331(f916(x92353,x92351)),f329(f329(f257(x92353,x92351),x92355),x92352)),x92354))+P1(f329(f329(f331(x92351),x92352),f329(f288(x92353,x92351,x92354),f329(f329(f311(x92353),x92355),f191(f917(x92353,a904))))))
% 192.24/192.22 [9291]P1(f329(f329(f331(f916(x92911,x92912)),f329(f329(f257(x92911,x92912),x92913),x92914)),x92915))+~P1(f329(f329(f331(x92912),x92914),f329(f288(x92911,x92912,x92915),f329(f329(f311(x92911),x92913),f191(f917(x92911,a904))))))
% 192.24/192.22 [9378]~P77(x93781)+E(f329(f329(f6(a909,x93781),x93782),f305(a909,f329(f329(f82(a909),x93783),x93784),f329(f329(f82(a909),x93785),x93784))),f329(f329(f6(a909,x93781),f329(f329(f8(a909,x93781,a909),x93782),f329(f329(f7(a909,a909,a909),f82(a909)),x93784))),f305(a909,x93783,x93785)))
% 192.24/192.22 [9397]~P77(x93971)+E(f329(f329(f6(a909,x93971),x93972),f329(f304(a909,f329(f329(f82(a909),x93973),x93974)),f329(f329(f82(a909),x93975),x93974))),f329(f329(f6(a909,x93971),f329(f329(f8(a909,x93971,a909),x93972),f329(f329(f7(a909,a909,a909),f82(a909)),x93974))),f329(f304(a909,x93973),x93975)))
% 192.24/192.22 [9453]~P31(x94531,x94532,x94533,f247(f917(x94531,a904)))+E(f329(f329(f157(x94531,x94532),x94533),f329(f139(x94531,f329(f329(f8(a904,a904,x94531),a324),f329(a326,x94534))),x94535)),f329(f139(x94532,f329(f329(f8(a904,a904,x94532),a324),f329(a326,f329(x94533,x94534)))),f329(f329(f157(x94531,x94532),x94533),x94535)))
% 192.24/192.22 [9471]~P31(x94711,x94712,x94713,f329(f329(f311(x94711),x94714),f329(f175(x94711),x94715)))+E(f329(f329(f157(x94711,x94712),x94713),f329(f139(x94711,f329(f329(f8(a904,a904,x94711),a324),f329(a326,x94714))),x94715)),f329(f139(x94712,f329(f329(f8(a904,a904,x94712),a324),f329(a326,f329(x94713,x94714)))),f329(f329(f157(x94711,x94712),x94713),x94715)))
% 192.24/192.22 [9632]P1(f329(f329(f331(f916(f910(x96321),f910(x96321))),f329(f329(f257(f910(x96321),f910(x96321)),f329(f329(f154(x96321),x96322),x96323)),f329(f329(f154(x96321),x96324),x96323))),f160(x96321,x96325)))+~P1(f329(f329(f331(f916(x96321,x96321)),f329(f329(f257(x96321,x96321),x96322),x96324)),x96325))
% 192.24/192.22 [9738]P30(x97381,x97382,f329(f329(f311(f908(x97381)),f329(f329(f329(f93(x97381),x97383),f329(a26,x97384)),x97385)),f191(f917(f908(x97381),a904))))+~P30(x97381,f329(f329(f311(f908(x97381)),f329(f329(f329(f93(x97381),x97383),f329(a26,x97384)),x97385)),x97382),f329(f329(f311(f908(x97381)),f329(f329(f329(f93(x97381),x97383),f329(f236(a905),f329(a27,x97384))),x97385)),f191(f917(f908(x97381),a904))))
% 192.24/192.22 [9752]E(f329(f329(f311(x97521),f413(x97522,x97523,x97524,x97525,x97521)),f414(x97522,x97523,x97524,x97525,x97521)),f329(f329(f311(x97521),x97524),x97523))+~P1(f329(f63(x97521,x97525,f329(f329(f311(x97521),x97524),x97523)),x97522))
% 192.24/192.22 [9753]E(f329(f329(f311(x97531),f416(x97532,x97533,x97534,x97535,x97531)),f417(x97532,x97533,x97534,x97535,x97531)),f329(f329(f311(x97531),x97534),x97533))+~P1(f329(f63(x97531,x97535,f329(f329(f311(x97531),x97534),x97533)),x97532))
% 192.24/192.22 [9834]P1(f329(f329(f331(x98341),f631(x98342,x98343,x98344,x98345,x98341)),x98344))+P1(f329(f329(f329(f41(x98341,f917(x98345,a904)),x98344),x98343),x98342))
% 192.24/192.22 [9839]P1(f329(f329(f331(x98391),f630(x98392,x98393,x98391,x98394,x98395)),x98393))+P1(f329(f329(f331(x98395),x98394),f329(f329(f41(x98391,f917(x98395,a904)),x98393),x98392)))
% 192.24/192.22 [9848]P1(f329(f329(f331(x98481),f632(x98482,x98483,x98481,x98484,x98485)),x98483))+P1(f329(f329(f239(f917(x98485,a904)),x98484),f329(f329(f41(x98481,f917(x98485,a904)),x98483),x98482)))
% 192.24/192.22 [9850]P1(f329(f329(x98501,f435(x98502,x98501,x98503,x98504,x98505)),x98502))+~P1(f329(f329(f329(f40(x98505,f917(x98504,a904)),x98503),x98501),x98502))
% 192.24/192.22 [9854]P1(f329(f329(f331(x98541),f435(x98542,x98543,x98544,x98545,x98541)),x98544))+~P1(f329(f329(f329(f40(x98541,f917(x98545,a904)),x98544),x98543),x98542))
% 192.24/192.22 [9855]P61(x98554,f329(f329(f41(x98551,f917(x98554,a904)),x98555),x98553),f329(f329(f41(x98551,f917(f916(x98554,x98554),a904)),x98555),x98552))+P1(f329(f329(f331(x98551),f800(x98552,x98553,x98554,x98555,x98551)),x98555))
% 192.24/192.22 [9865]P1(f329(f329(f331(x98651),f442(x98652,x98653,x98651,x98654,x98655)),x98653))+~P1(f329(f329(f331(x98655),x98654),f329(f329(f40(x98651,f917(x98655,a904)),x98653),x98652)))
% 192.24/192.22 [9871]P1(f329(f329(f331(x98711),x98712),f329(x98713,f442(x98713,x98714,x98715,x98712,x98711))))+~P1(f329(f329(f331(x98711),x98712),f329(f329(f40(x98715,f917(x98711,a904)),x98714),x98713)))
% 192.24/192.22 [9956]~P1(f329(f329(x99564,f631(x99565,x99564,x99563,x99562,x99561)),x99565))+P1(f329(f329(f329(f41(x99561,f917(x99562,a904)),x99563),x99564),x99565))
% 192.24/192.22 [9959]~P1(f329(f329(f331(x99591),x99592),f329(x99595,f630(x99595,x99594,x99593,x99592,x99591))))+P1(f329(f329(f331(x99591),x99592),f329(f329(f41(x99593,f917(x99591,a904)),x99594),x99595)))
% 192.24/192.22 [9963]~P61(x99631,f329(x99634,f800(x99635,x99634,x99631,x99633,x99632)),f329(x99635,f800(x99635,x99634,x99631,x99633,x99632)))+P61(x99631,f329(f329(f41(x99632,f917(x99631,a904)),x99633),x99634),f329(f329(f41(x99632,f917(f916(x99631,x99631),a904)),x99633),x99635))
% 192.24/192.22 [9964]~P1(f329(f329(f239(f917(x99641,a904)),x99642),f329(x99645,f632(x99645,x99644,x99643,x99642,x99641))))+P1(f329(f329(f239(f917(x99641,a904)),x99642),f329(f329(f41(x99643,f917(x99641,a904)),x99644),x99645)))
% 192.24/192.22 [10027]~P1(f329(f329(f331(x100271),f413(x100275,x100274,x100273,x100272,x100271)),f414(x100275,x100274,x100273,x100272,x100271)))+~P1(f329(f63(x100271,x100272,f329(f329(f311(x100271),x100273),x100274)),x100275))
% 192.24/192.22 [10028]~P1(f329(f329(f331(x100281),f416(x100285,x100284,x100283,x100282,x100281)),f417(x100285,x100284,x100283,x100282,x100281)))+~P1(f329(f63(x100281,x100282,f329(f329(f311(x100281),x100283),x100284)),x100285))
% 192.24/192.22 [10029]~P1(f329(f329(f331(f916(x100291,x100291)),f329(f329(f257(x100291,x100291),x100292),x100295)),f329(f329(f186(f916(x100291,x100291),a904),f329(a117,x100294)),x100293)))+P1(f329(f329(f331(f916(x100291,x100291)),f329(f329(f257(x100291,x100291),x100292),f625(x100293,x100294,x100295,x100292,x100291))),f329(f329(f186(f916(x100291,x100291),a904),x100294),x100293)))
% 192.24/192.22 [10035]P1(f329(f67(x100351,x100351,x100352,f413(x100353,x100354,x100355,x100352,x100351),f414(x100353,x100354,x100355,x100352,x100351)),x100353))+~P1(f329(f63(x100351,x100352,f329(f329(f311(x100351),x100355),x100354)),x100353))
% 192.24/192.22 [10036]P1(f329(f67(x100361,x100361,x100362,f416(x100363,x100364,x100365,x100362,x100361),f417(x100363,x100364,x100365,x100362,x100361)),x100363))+~P1(f329(f63(x100361,x100362,f329(f329(f311(x100361),x100365),x100364)),x100363))
% 192.24/192.22 [10048]~P112(x100481)+P19(x100481,f329(f329(f157(x100482,x100481),x100483),f329(f139(x100482,f329(f329(f7(x100482,x100481,a904),f329(f329(f8(x100481,f917(x100481,a904),x100482),a326),x100483)),f329(x100484,x100485))),x100485)))
% 192.24/192.22 [10087]~P1(f329(f329(f331(x100872),x100875),f329(f288(x100871,x100872,x100874),x100873)))+P1(f329(f329(f331(f916(x100871,x100872)),f329(f329(f257(x100871,x100872),f502(x100873,x100874,x100871,x100875,x100872)),x100875)),x100874))
% 192.24/192.22 [10088]~P1(f329(f329(f331(x100882),x100885),f329(f288(x100881,x100882,x100884),x100883)))+P1(f329(f329(f331(f916(x100881,x100882)),f329(f329(f257(x100881,x100882),f529(x100883,x100884,x100881,x100885,x100882)),x100885)),x100884))
% 192.24/192.22 [10108]~P1(f329(f329(f331(f916(x101081,x101081)),f329(f329(f257(x101081,x101081),x101085),x101084)),f329(f329(f186(f916(x101081,x101081),a904),f329(a117,x101083)),x101082)))+P1(f329(f329(f331(f916(x101081,x101081)),f329(f329(f257(x101081,x101081),f625(x101082,x101083,x101084,x101085,x101081)),x101084)),x101082))
% 192.24/192.22 [10111]~P1(f329(f329(f331(f916(x101111,x101111)),f329(f329(f257(x101111,x101111),x101115),x101114)),f329(f329(f186(f916(x101111,x101111),a904),f329(a117,x101113)),x101112)))+P1(f329(f329(f331(f916(x101111,x101111)),f329(f329(f257(x101111,x101111),f623(x101112,x101113,x101114,x101115,x101111)),x101114)),f329(f329(f186(f916(x101111,x101111),a904),x101113),x101112)))
% 192.24/192.22 [10112]~P1(f329(f329(f331(f916(x101121,x101121)),f329(f329(f257(x101121,x101121),x101125),x101124)),f329(f329(f186(f916(x101121,x101121),a904),f329(a117,x101123)),x101122)))+P1(f329(f329(f331(f916(x101121,x101121)),f329(f329(f257(x101121,x101121),f624(x101122,x101123,x101124,x101125,x101121)),x101124)),f329(f329(f186(f916(x101121,x101121),a904),x101123),x101122)))
% 192.24/192.22 [10113]~P1(f329(f329(f331(f916(f910(x101131),f910(x101131))),f329(f329(f257(f910(x101131),f910(x101131)),x101135),f329(f329(f154(x101131),x101134),x101133))),f161(x101131,x101132)))+P1(f329(f329(f331(f916(x101131,x101131)),f329(f329(f257(x101131,x101131),f677(x101132,x101133,x101134,x101135,x101131)),x101134)),x101132))
% 192.24/192.22 [7690]~E(x76903,f191(f917(x76902,a904)))+E(f329(f329(f115(f917(x76901,a904)),f329(f329(f40(x76902,f917(x76901,a904)),x76903),x76904)),x76905),x76905)
% 192.24/192.22 [7691]~E(x76913,f191(f917(x76912,a904)))+E(f329(f329(f106(f917(x76911,a904)),f329(f329(f41(x76912,f917(x76911,a904)),x76913),x76914)),x76915),x76915)
% 192.24/192.22 [8129]~E(x81293,f191(f917(x81292,a904)))+E(f329(f329(f23(f917(x81291,a904)),f329(f329(f41(x81292,f917(x81291,a904)),x81293),x81294)),x81295),f329(f329(f23(f917(x81291,a904)),f247(f917(x81291,a904))),x81295))
% 192.24/192.22 [8264]E(f329(f329(f162(x82641,f329(f329(f137(x82641),x82642),x82643)),x82644),x82645),f329(f329(f137(x82641),f329(f329(f162(x82641,x82642),x82644),x82645)),x82643))+~P1(f329(f329(f240(a909),x82644),f329(f192(f910(x82641)),x82642)))
% 192.24/192.22 [8538]E(f329(f329(f167(x85381),f329(f329(f157(a909,x85381),x85382),f142(a909,f329(f304(a909,x85383),x85384)))),x85385),f329(x85382,f329(f329(f82(a909),x85383),x85385)))+~P1(f329(f329(f240(a909),x85385),f329(f329(f23(a909),x85384),x85383)))
% 192.24/192.22 [8552]E(x85521,f2(a104))+E(f126(x85522,x85523,f329(x85524,f329(f329(f23(a104),x85521),f80(a104))),f329(f329(f7(x85522,a104,f911(f913(x85523))),x85525),x85521)),f329(f200(x85522,x85523,x85524,x85525),x85521))
% 192.24/192.22 [8579]~E(x85793,f191(f917(x85791,a904)))+E(f329(f329(f40(x85791,f917(x85792,a904)),x85793),f329(f329(f8(f917(x85792,a904),f917(x85792,a904),x85791),f329(f115(f917(x85792,a904)),x85794)),x85795)),f191(f917(x85792,a904)))
% 192.24/192.22 [8580]~E(x85803,f191(f917(x85801,a904)))+E(f329(f329(f41(x85801,f917(x85802,a904)),x85803),f329(f329(f8(f917(x85802,a904),f917(x85802,a904),x85801),f329(f23(f917(x85802,a904)),x85804)),x85805)),f247(f917(x85802,a904)))
% 192.24/192.22 [8581]~E(x85813,f191(f917(x85811,a904)))+E(f329(f329(f41(x85811,f917(x85812,a904)),x85813),f329(f329(f8(f917(x85812,a904),f917(x85812,a904),x85811),f329(f106(f917(x85812,a904)),x85814)),x85815)),f247(f917(x85812,a904)))
% 192.24/192.22 [8586]~P142(x85862)+E(f329(f329(f6(x85861,x85862),f329(f329(f8(x85862,x85862,x85861),f329(f83(x85862),x85863)),x85864)),x85865),f329(f329(f83(x85862),x85863),f329(f329(f6(x85861,x85862),x85864),x85865)))
% 192.24/192.22 [8869]E(x88691,f191(f917(x88692,a904)))+E(f329(f329(f40(x88692,f917(x88693,a904)),x88691),f329(f329(f8(f917(x88693,a904),f917(x88693,a904),x88692),f329(f115(f917(x88693,a904)),x88694)),x88695)),f329(f329(f115(f917(x88693,a904)),x88694),f329(f329(f40(x88692,f917(x88693,a904)),x88691),x88695)))
% 192.24/192.22 [8870]E(x88701,f191(f917(x88702,a904)))+E(f329(f329(f41(x88702,f917(x88703,a904)),x88701),f329(f329(f8(f917(x88703,a904),f917(x88703,a904),x88702),f329(f23(f917(x88703,a904)),x88704)),x88705)),f329(f329(f23(f917(x88703,a904)),x88704),f329(f329(f40(x88702,f917(x88703,a904)),x88701),x88705)))
% 192.24/192.22 [8871]E(x88711,f191(f917(x88712,a904)))+E(f329(f329(f41(x88712,f917(x88713,a904)),x88711),f329(f329(f8(f917(x88713,a904),f917(x88713,a904),x88712),f329(f106(f917(x88713,a904)),x88714)),x88715)),f329(f329(f106(f917(x88713,a904)),x88714),f329(f329(f41(x88712,f917(x88713,a904)),x88711),x88715)))
% 192.24/192.22 [9071]~P1(f329(f329(f240(a909),f329(x90714,x90712)),f329(x90714,x90713)))+P1(f329(f329(f331(f916(x90711,x90711)),f329(f329(f257(x90711,x90711),x90712),x90713)),f156(x90711,f329(f329(f154(f917(x90711,a909)),x90714),x90715))))
% 192.24/192.22 [9329]~P47(f917(x93295,a904),f917(x93291,a904),x93292)+P1(f329(f329(f239(f917(x93291,a904)),f329(f329(f115(f917(x93291,a904)),f329(x93292,x93293)),f329(x93292,x93294))),f329(x93292,f329(f329(f115(f917(x93295,a904)),x93293),x93294))))
% 192.24/192.22 [9346]~P31(x93462,x93461,x93463,f329(f329(f115(f917(x93462,a904)),x93464),x93465))+E(f329(f329(f106(f917(x93461,a904)),f329(f312(x93462,x93461,x93463),f329(f329(f23(f917(x93462,a904)),x93464),x93465))),f329(f312(x93462,x93461,x93463),f329(f329(f23(f917(x93462,a904)),x93465),x93464))),f191(f917(x93461,a904)))
% 192.24/192.22 [9596]~P31(x95963,x95961,x95965,f247(f917(x95963,a904)))+E(f329(f74(x95961,x95962,x95963,f329(f74(x95963,x95962,x95961,x95964),f94(x95963,x95961,f247(f917(x95963,a904)),x95965))),x95965),x95964)
% 192.24/192.22 [9628]~P1(f329(f329(f239(f917(x96283,a904)),f329(f288(x96281,x96283,x96284),x96282)),x96285))+P1(f329(f329(f239(f917(x96281,a904)),x96282),f329(f81(f917(x96281,a904)),f329(f288(x96283,x96281,f329(f289(x96281,x96283),x96284)),f329(f81(f917(x96283,a904)),x96285)))))
% 192.24/192.22 [9652]~P31(x96521,x96522,x96523,f329(f329(f311(x96521),x96524),x96525))+~P1(f329(f329(f331(x96522),f329(x96523,x96524)),f329(f312(x96521,x96522,x96523),f329(f329(f23(f917(x96521,a904)),x96525),f329(f329(f311(x96521),x96524),f191(f917(x96521,a904)))))))
% 192.24/192.22 [9704]P1(f329(f329(f239(f917(x97041,a904)),f329(f288(x97042,x97041,x97043),x97044)),x97045))+~P1(f329(f329(f239(f917(x97042,a904)),x97044),f329(f81(f917(x97042,a904)),f329(f288(x97041,x97042,f329(f289(x97042,x97041),x97043)),f329(f81(f917(x97041,a904)),x97045)))))
% 192.24/192.22 [9779]~P89(x97791)+P1(f329(f329(f239(x97791),f329(f77(x97791),f329(f329(f23(x97791),f329(f329(f82(x97791),x97792),x97793)),f329(f329(f82(x97791),x97794),x97795)))),f329(f329(f82(x97791),f329(f77(x97791),f329(f329(f23(x97791),x97792),x97794))),f329(f77(x97791),f329(f329(f23(x97791),x97793),x97795)))))
% 192.24/192.22 [9886]P1(f329(f329(f331(x98861),f444(x98862,x98863,x98864,x98861,x98865)),x98864))+P1(f329(f329(f239(f917(x98865,a904)),f329(f329(f40(x98861,f917(x98865,a904)),x98864),x98863)),x98862))
% 192.24/192.22 [10066]~P1(f329(f329(f239(f917(x100661,a904)),f329(x100664,f444(x100665,x100664,x100663,x100662,x100661))),x100665))+P1(f329(f329(f239(f917(x100661,a904)),f329(f329(f40(x100662,f917(x100661,a904)),x100663),x100664)),x100665))
% 192.24/192.22 [8697]E(f329(f329(f137(x86971),x86972),f329(f329(f162(x86971,x86973),f329(f329(f23(a909),x86974),f329(f192(f910(x86971)),x86972))),x86975)),f329(f329(f162(x86971,f329(f329(f137(x86971),x86972),x86973)),x86974),x86975))+P1(f329(f329(f240(a909),x86974),f329(f192(f910(x86971)),x86972)))
% 192.24/192.22 [8724]~P145(x87241)+E(f329(f329(f82(x87241),f329(f329(f83(x87241),x87242),x87243)),f329(f329(f82(x87241),f329(f329(f83(x87241),x87244),x87243)),x87245)),f329(f329(f82(x87241),f329(f329(f83(x87241),f329(f329(f82(x87241),x87242),x87244)),x87243)),x87245))
% 192.24/192.22 [9300]~P142(x93001)+E(f329(f168(x93001),f329(f329(f157(x93002,x93001),f329(f329(f8(x93001,x93001,x93002),f329(f83(x93001),x93003)),x93004)),x93005)),f329(f329(f83(x93001),x93003),f329(f168(x93001),f329(f329(f157(x93002,x93001),x93004),x93005))))
% 192.24/192.22 [9470]E(f329(f192(f910(x94701)),f329(f329(f178(x94701),f329(f329(f237(a909),f329(f192(f910(x94701)),x94702)),f329(f192(f910(x94703)),x94704))),x94702)),f329(f192(f910(x94703)),f329(f329(f178(x94703),f329(f329(f237(a909),f329(f192(f910(x94701)),x94702)),f329(f192(f910(x94703)),x94704))),x94704)))+P1(f329(x94705,f329(f329(f184(x94701,x94703),x94702),x94704)))
% 192.24/192.22 [9714]~P142(x97142)+E(f329(f329(f6(x97141,x97142),f329(f329(f7(x97141,x97142,x97142),f329(f329(f8(x97142,f917(x97142,x97142),x97141),f83(x97142)),x97143)),x97144)),x97145),f329(f329(f83(x97142),f329(f329(f6(x97141,x97142),x97143),x97145)),x97144))
% 192.24/192.22 [9715]~P71(x97152)+E(f329(f329(f6(x97151,x97152),f329(f329(f7(x97151,x97152,x97152),f329(f329(f8(x97152,f917(x97152,x97152),x97151),f292(x97152)),x97153)),x97154)),x97155),f329(f329(f292(x97152),f329(f329(f6(x97151,x97152),x97153),x97155)),x97154))
% 192.24/192.22 [9722]~P77(x97222)+E(f329(f329(f6(x97221,x97222),f329(f329(f18(x97221,x97222,x97222),f329(f329(f8(x97222,f917(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)))
% 192.24/192.22 [9723]~P74(x97232)+E(f329(f329(f6(x97231,x97232),f329(f329(f18(x97231,x97232,x97232),f329(f329(f8(x97232,f917(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)))
% 192.24/192.22 [9724]~P80(x97242)+E(f329(f329(f9(x97241,x97242),f329(f329(f18(x97241,x97242,x97242),f329(f329(f8(x97242,f917(x97242,x97242),x97241),f83(x97242)),x97243)),x97244)),x97245),f329(f329(f83(x97242),f329(f329(f9(x97241,x97242),x97243),x97245)),f329(f329(f9(x97241,x97242),x97244),x97245)))
% 192.24/192.22 [9764]~E(x97643,f191(f917(x97641,a904)))+E(f329(f329(f40(x97641,f917(x97642,a904)),x97643),f329(f329(f7(x97641,f917(x97642,a904),f917(x97642,a904)),f329(f329(f8(f917(x97642,a904),f917(f917(x97642,a904),f917(x97642,a904)),x97641),f115(f917(x97642,a904))),x97644)),x97645)),f191(f917(x97642,a904)))
% 192.24/192.22 [9765]~E(x97653,f191(f917(x97651,a904)))+E(f329(f329(f41(x97651,f917(x97652,a904)),x97653),f329(f329(f7(x97651,f917(x97652,a904),f917(x97652,a904)),f329(f329(f8(f917(x97652,a904),f917(f917(x97652,a904),f917(x97652,a904)),x97651),f23(f917(x97652,a904))),x97654)),x97655)),f247(f917(x97652,a904)))
% 192.24/192.22 [9766]~E(x97663,f191(f917(x97661,a904)))+E(f329(f329(f41(x97661,f917(x97662,a904)),x97663),f329(f329(f7(x97661,f917(x97662,a904),f917(x97662,a904)),f329(f329(f8(f917(x97662,a904),f917(f917(x97662,a904),f917(x97662,a904)),x97661),f106(f917(x97662,a904))),x97664)),x97665)),f247(f917(x97662,a904)))
% 192.24/192.22 [9787]E(x97871,f191(f917(x97872,a904)))+E(f329(f329(f40(x97872,f917(x97873,a904)),x97871),f329(f329(f7(x97872,f917(x97873,a904),f917(x97873,a904)),f329(f329(f8(f917(x97873,a904),f917(f917(x97873,a904),f917(x97873,a904)),x97872),f115(f917(x97873,a904))),x97874)),x97875)),f329(f329(f115(f917(x97873,a904)),f329(f329(f40(x97872,f917(x97873,a904)),x97871),x97874)),x97875))
% 192.24/192.22 [9788]E(x97881,f191(f917(x97882,a904)))+E(f329(f329(f41(x97882,f917(x97883,a904)),x97881),f329(f329(f7(x97882,f917(x97883,a904),f917(x97883,a904)),f329(f329(f8(f917(x97883,a904),f917(f917(x97883,a904),f917(x97883,a904)),x97882),f23(f917(x97883,a904))),x97884)),x97885)),f329(f329(f23(f917(x97883,a904)),f329(f329(f41(x97882,f917(x97883,a904)),x97881),x97884)),x97885))
% 192.24/192.22 [9789]E(x97891,f191(f917(x97892,a904)))+E(f329(f329(f41(x97892,f917(x97893,a904)),x97891),f329(f329(f7(x97892,f917(x97893,a904),f917(x97893,a904)),f329(f329(f8(f917(x97893,a904),f917(f917(x97893,a904),f917(x97893,a904)),x97892),f106(f917(x97893,a904))),x97894)),x97895)),f329(f329(f106(f917(x97893,a904)),f329(f329(f41(x97892,f917(x97893,a904)),x97891),x97894)),x97895))
% 192.24/192.22 [9351]~P1(f329(f329(f239(a909),x93511),x93514))+E(f329(f329(f23(a909),f329(f329(f82(a909),f329(f329(f83(a909),x93511),x93512)),x93513)),f329(f329(f82(a909),f329(f329(f83(a909),x93514),x93512)),x93515)),f329(f329(f23(a909),x93513),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x93514),x93511)),x93512)),x93515)))
% 192.24/192.22 [9938]~P142(x99381)+E(f329(f168(x99381),f329(f329(f157(x99382,x99381),f329(f329(f7(x99382,x99381,x99381),f329(f329(f8(x99381,f917(x99381,x99381),x99382),f83(x99381)),x99383)),x99384)),x99385)),f329(f329(f83(x99381),f329(f168(x99381),f329(f329(f157(x99382,x99381),x99383),x99385))),x99384))
% 192.24/192.22 [9944]~P77(x99441)+E(f329(f168(x99441),f329(f329(f157(x99442,x99441),f329(f329(f18(x99442,x99441,x99441),f329(f329(f8(x99441,f917(x99441,x99441),x99442),f82(x99441)),x99443)),x99444)),x99445)),f329(f329(f82(x99441),f329(f168(x99441),f329(f329(f157(x99442,x99441),x99443),x99445))),f329(f168(x99441),f329(f329(f157(x99442,x99441),x99444),x99445))))
% 192.24/192.22 [9945]~P74(x99451)+E(f329(f168(x99451),f329(f329(f157(x99452,x99451),f329(f329(f18(x99452,x99451,x99451),f329(f329(f8(x99451,f917(x99451,x99451),x99452),f23(x99451)),x99453)),x99454)),x99455)),f329(f329(f23(x99451),f329(f168(x99451),f329(f329(f157(x99452,x99451),x99453),x99455))),f329(f168(x99451),f329(f329(f157(x99452,x99451),x99454),x99455))))
% 192.24/192.22 [10079]P1(f329(x100791,f329(f329(f184(x100792,x100793),x100794),x100795)))+~P1(f329(x100791,f329(f329(f184(x100792,x100793),f329(f329(f178(x100792),f329(f329(f237(a909),f329(f192(f910(x100792)),x100794)),f329(f192(f910(x100793)),x100795))),x100794)),f329(f329(f178(x100793),f329(f329(f237(a909),f329(f192(f910(x100792)),x100794)),f329(f192(f910(x100793)),x100795))),x100795))))
% 192.24/192.22 [10332]~P1(f329(f329(f331(f916(x103322,x103321)),f329(f329(f257(x103322,x103321),x103324),x103325)),f329(f289(x103321,x103322),x103323)))+P1(f329(f329(f248(x103321,x103322,f329(f329(f7(x103321,f917(f916(x103321,x103322),a904),f917(x103322,a904)),f329(f329(f8(f917(x103322,f917(f917(f916(x103321,x103322),a904),a904)),f917(f917(f916(x103321,x103322),a904),f917(x103322,a904)),x103321),f7(x103322,f917(f916(x103321,x103322),a904),a904)),f329(f329(f8(f917(x103322,f916(x103321,x103322)),f917(x103322,f917(f917(f916(x103321,x103322),a904),a904)),x103321),f329(f8(f916(x103321,x103322),f917(f917(f916(x103321,x103322),a904),a904),x103322),f331(f916(x103321,x103322)))),f257(x103321,x103322)))),x103323)),x103324),x103325))
% 192.24/192.22 [10345]P1(f329(f329(f331(f916(x103451,x103452)),f329(f329(f257(x103451,x103452),x103453),x103454)),f329(f289(x103452,x103451),x103455)))+~P1(f329(f329(f248(x103452,x103451,f329(f329(f7(x103452,f917(f916(x103452,x103451),a904),f917(x103451,a904)),f329(f329(f8(f917(x103451,f917(f917(f916(x103452,x103451),a904),a904)),f917(f917(f916(x103452,x103451),a904),f917(x103451,a904)),x103452),f7(x103451,f917(f916(x103452,x103451),a904),a904)),f329(f329(f8(f917(x103451,f916(x103452,x103451)),f917(x103451,f917(f917(f916(x103452,x103451),a904),a904)),x103452),f329(f8(f916(x103452,x103451),f917(f917(f916(x103452,x103451),a904),a904),x103451),f331(f916(x103452,x103451)))),f257(x103452,x103451)))),x103455)),x103453),x103454))
% 192.24/192.22 [9595]~P1(f329(f329(f239(a909),x95954),x95951))+E(f329(f329(f23(a909),f329(f329(f82(a909),f329(f329(f83(a909),x95951),x95952)),x95953)),f329(f329(f82(a909),f329(f329(f83(a909),x95954),x95952)),x95955)),f329(f329(f23(a909),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x95951),x95954)),x95952)),x95953)),x95955))
% 192.24/192.22 [10354]P30(x103541,x103542,f329(f312(a907,f908(x103541),f329(f329(f18(a907,f917(x103541,f917(a906,a904)),f908(x103541)),f329(f329(f18(a907,a905,f917(f917(x103541,f917(a906,a904)),f908(x103541))),f329(f329(f8(f917(x103541,f917(a906,a904)),f917(a905,f917(f917(x103541,f917(a906,a904)),f908(x103541))),a907),f93(x103541)),x103543)),a26)),x103544)),x103545))+~P30(x103541,f329(f329(f115(f917(f908(x103541),a904)),x103542),f329(f312(a907,f908(x103541),f329(f329(f18(a907,f917(x103541,f917(a906,a904)),f908(x103541)),f329(f329(f18(a907,a905,f917(f917(x103541,f917(a906,a904)),f908(x103541))),f329(f329(f8(f917(x103541,f917(a906,a904)),f917(a905,f917(f917(x103541,f917(a906,a904)),f908(x103541))),a907),f93(x103541)),x103543)),a26)),x103544)),x103545)),f329(f312(a907,f908(x103541),f329(f329(f18(a907,f917(x103541,f917(a906,a904)),f908(x103541)),f329(f329(f18(a907,a905,f917(f917(x103541,f917(a906,a904)),f908(x103541))),f329(f329(f8(f917(x103541,f917(a906,a904)),f917(a905,f917(f917(x103541,f917(a906,a904)),f908(x103541))),a907),f93(x103541)),x103543)),f329(f329(f8(f913(a905),a905,a907),f236(a905)),a27))),x103544)),x103545))
% 192.24/192.22 [5367]E(x53671,x53672)+~E(f29(x53673,x53674,x53671),f29(x53675,x53676,x53672))
% 192.24/192.22 [5368]E(x53681,x53682)+~E(f29(x53683,x53681,x53684),f29(x53685,x53682,x53686))
% 192.24/192.22 [5369]E(x53691,x53692)+~E(f29(x53691,x53693,x53694),f29(x53692,x53695,x53696))
% 192.24/192.22 [5370]E(x53701,x53702)+~E(f28(x53703,x53704,x53701),f28(x53705,x53706,x53702))
% 192.24/192.22 [5371]E(x53711,x53712)+~E(f28(x53713,x53711,x53714),f28(x53715,x53712,x53716))
% 192.24/192.22 [5372]E(x53721,x53722)+~E(f28(x53721,x53723,x53724),f28(x53722,x53725,x53726))
% 192.24/192.22 [7375]E(x73751,x73752)+~E(f224(x73753,x73754,x73755,x73751),f224(x73753,x73754,x73756,x73752))
% 192.24/192.22 [7376]E(x73761,x73762)+~E(f224(x73763,x73764,x73761,x73765),f224(x73763,x73764,x73762,x73766))
% 192.24/192.22 [8521]~P25(x85215,x85211,x85212,x85216)+E(f329(f74(x85211,x85211,x85211,f329(x85212,x85213)),f329(x85212,x85214)),f329(f74(x85211,x85211,x85211,f329(x85212,x85214)),f329(x85212,x85213)))
% 192.24/192.22 [8765]~P65(x87654,x87655,x87652,x87651,x87656)+E(f329(x87651,f329(x87652,x87653)),x87653)
% 192.24/192.22 [8920]P31(x89201,x89202,x89203,x89204)+~P31(x89201,x89205,f329(f74(x89202,x89205,x89201,x89206),x89203),x89204)
% 192.24/192.22 [8989]~E(x89896,x89894)+E(f329(f76(x89891,x89892,x89893,x89894,x89895),x89896),x89895)
% 192.24/192.22 [8996]E(x89961,x89962)+E(f329(f76(x89963,x89964,x89965,x89962,x89966),x89961),f329(x89965,x89961))
% 192.24/192.22 [9008]~P31(x90084,x90082,f329(f74(x90081,x90082,x90084,x90083),x90085),x90086)+P31(x90081,x90082,x90083,f329(f312(x90084,x90081,x90085),x90086))
% 192.24/192.22 [9725]P1(f329(f62(x97251),x97252))+~P1(f329(f67(x97251,x97253,x97254,x97255,x97252),x97256))
% 192.24/192.22 [9734]~P1(f329(f329(f331(x97344),x97343),f302(x97344,x97345,x97341,x97342,x97346)))+P1(f329(f329(x97341,x97342),x97343))
% 192.24/192.22 [9735]~P1(f329(f329(f331(x97354),x97353),f299(x97354,x97351,x97355,x97352,x97356)))+P1(f329(f329(x97351,x97352),x97353))
% 192.24/192.22 [9736]~P1(f329(f329(f331(x97364),x97362),f302(x97364,x97361,x97365,x97366,x97363)))+P1(f329(f329(x97361,x97362),x97363))
% 192.24/192.22 [9737]~P1(f329(f329(f331(x97374),x97372),f299(x97374,x97375,x97371,x97376,x97373)))+P1(f329(f329(x97371,x97372),x97373))
% 192.24/192.22 [5875]E(x58751,x58752)+~E(f329(f329(f257(x58753,x58754),x58755),x58751),f329(f329(f257(x58753,x58754),x58756),x58752))
% 192.24/192.22 [5877]E(x58771,x58772)+~E(f329(f329(f257(x58773,x58774),x58771),x58775),f329(f329(f257(x58773,x58774),x58772),x58776))
% 192.24/192.22 [6010]~P22(x60105,x60106,x60101)+E(f329(f329(x60101,x60102),f329(f329(x60101,x60103),x60104)),f329(f329(x60101,x60103),f329(f329(x60101,x60102),x60104)))
% 192.24/192.22 [7443]~P39(x74434,x74431,f329(f329(f154(x74434),x74432),x74435),f329(f329(f154(x74434),x74433),x74436))+P1(f329(f329(x74431,x74432),x74433))
% 192.24/192.22 [7806]P39(x78061,x78062,x78063,x78064)+~P39(x78061,x78062,f329(f329(f154(x78061),x78065),x78063),f329(f329(f154(x78061),x78066),x78064))
% 192.24/192.22 [8860]~P65(x88605,x88601,x88602,x88606,x88604)+P1(f329(f329(f331(x88601),f329(x88602,x88603)),x88604))
% 192.24/192.22 [9037]E(f329(f78(x90371,x90372,x90373,x90374,x90375),x90376),f329(x90373,x90376))+P1(f329(f329(f331(x90371),x90376),x90375))
% 192.24/192.22 [9061]~E(x90613,f329(f329(f154(x90611),x90615),x90616))+P1(f329(f329(f331(f916(f910(x90611),f910(x90611))),f329(f329(f257(f910(x90611),f910(x90611)),x90612),f329(f329(f137(x90611),x90612),x90613))),f150(x90611,x90614)))
% 192.24/192.22 [9066]E(f329(f78(x90661,x90662,x90663,x90664,x90665),x90666),f329(x90664,x90666))+~P1(f329(f329(f331(x90661),x90666),x90665))
% 192.24/192.22 [9306]~P41(x93061,x93062,x93063,x93065,x93066)+P41(x93061,x93062,x93063,f329(f329(f178(x93061),x93064),x93065),f329(f329(f178(x93062),x93064),x93066))
% 192.24/192.22 [9307]~P41(x93071,x93072,x93073,x93075,x93076)+P41(x93071,x93072,x93073,f329(f329(f141(x93071),x93074),x93075),f329(f329(f141(x93072),x93074),x93076))
% 192.24/192.22 [9561]E(f329(f312(x95611,x95612,f76(x95611,x95612,x95613,x95614,x95615)),x95616),f329(f312(x95611,x95612,x95613),x95616))+P1(f329(f329(f331(x95611),x95614),x95616))
% 192.24/192.22 [9564]E(f329(f329(f157(x95641,x95642),f76(x95641,x95642,x95643,x95644,x95645)),x95646),f329(f329(f157(x95641,x95642),x95643),x95646))+P1(f329(f329(f331(x95641),x95644),f329(f175(x95641),x95646)))
% 192.24/192.22 [9799]~P29(x97994,x97992,x97995,x97993,x97996,x97991)+E(f329(x97991,f191(f917(x97992,a904))),x97993)
% 192.24/192.22 [10030]~E(f329(x100304,f329(f256(x100301,x100303),x100305)),f329(x100306,f329(f256(x100301,x100303),x100305)))+E(f329(f263(x100301,x100302,x100303,x100303,x100304,f33(x100303)),x100305),f329(f263(x100301,x100302,x100303,x100303,x100306,f33(x100303)),x100305))
% 192.24/192.22 [10031]~E(f329(x100314,f329(f261(x100311,x100312),x100315)),f329(x100316,f329(f261(x100311,x100312),x100315)))+E(f329(f263(x100311,x100311,x100312,x100313,f33(x100311),x100314),x100315),f329(f263(x100311,x100311,x100312,x100313,f33(x100311),x100316),x100315))
% 192.24/192.22 [10075]~E(f329(f263(x100752,x100756,x100753,x100753,x100751,f33(x100753)),x100754),f329(f263(x100752,x100756,x100753,x100753,x100755,f33(x100753)),x100754))+E(f329(x100751,f329(f256(x100752,x100753),x100754)),f329(x100755,f329(f256(x100752,x100753),x100754)))
% 192.24/192.22 [10076]~E(f329(f263(x100762,x100762,x100763,x100766,f33(x100762),x100761),x100764),f329(f263(x100762,x100762,x100763,x100766,f33(x100762),x100765),x100764))+E(f329(x100761,f329(f261(x100762,x100763),x100764)),f329(x100765,f329(f261(x100762,x100763),x100764)))
% 192.24/192.22 [8958]P1(f329(f329(f331(x89581),x89582),x89583))+~P1(f329(f329(f331(f916(x89581,x89584)),f329(f329(f257(x89581,x89584),x89582),x89585)),f329(f329(f259(x89581,x89584),x89583),x89586)))
% 192.24/192.22 [8972]P1(f329(f329(f331(x89721),x89722),f329(x89723,x89724)))+~P1(f329(f329(f331(f916(x89725,x89721)),f329(f329(f257(x89725,x89721),x89724),x89722)),f329(f329(f259(x89725,x89721),x89726),x89723)))
% 192.24/192.22 [9420]P1(f329(f329(f331(f916(x94201,x94201)),f329(f329(f257(x94201,x94201),f329(x94202,x94203)),f329(x94202,x94204))),x94205))+~P1(f329(f329(f331(f916(x94206,x94206)),f329(f329(f257(x94206,x94206),x94203),x94204)),f329(f329(f290(x94201,x94206),x94205),x94202)))
% 192.24/192.22 [9440]~P1(f329(f329(f331(f916(x94404,x94404)),f329(f329(f257(x94404,x94404),f329(x94406,x94402)),f329(x94406,x94403))),x94405))+P1(f329(f329(f331(f916(x94401,x94401)),f329(f329(f257(x94401,x94401),x94402),x94403)),f329(f329(f290(x94404,x94401),x94405),x94406)))
% 192.24/192.22 [10078]E(f329(f329(f257(x100781,x100782),f668(x100783,x100784,x100785,x100786,x100782,x100781)),f671(x100783,x100784,x100785,x100786,x100782,x100781)),x100786)+~P1(f329(f329(f331(f916(x100781,x100782)),x100786),f329(f329(f291(x100781,x100785,x100782),x100784),x100783)))
% 192.24/192.22 [10290]~P1(f329(f329(f331(f916(x102901,x102906)),x102905),f329(f329(f291(x102901,x102902,x102906),x102904),x102903)))+P1(f329(f329(f331(f916(x102901,x102902)),f329(f329(f257(x102901,x102902),f668(x102903,x102904,x102902,x102905,x102906,x102901)),f670(x102903,x102904,x102902,x102905,x102906,x102901))),x102904))
% 192.24/192.22 [10291]~P1(f329(f329(f331(f916(x102916,x102912)),x102915),f329(f329(f291(x102916,x102911,x102912),x102914),x102913)))+P1(f329(f329(f331(f916(x102911,x102912)),f329(f329(f257(x102911,x102912),f670(x102913,x102914,x102911,x102915,x102912,x102916)),f671(x102913,x102914,x102911,x102915,x102912,x102916))),x102913))
% 192.24/192.22 [7877]~P11(x78772)+E(f329(f329(f40(x78771,x78772),x78773),f329(f329(f7(x78771,x78774,x78772),x78775),x78776)),f329(f329(f329(f40(x78771,f917(x78774,x78772)),x78773),x78775),x78776))
% 192.24/192.22 [7878]~P11(x78782)+E(f329(f329(f41(x78781,x78782),x78783),f329(f329(f7(x78781,x78784,x78782),x78785),x78786)),f329(f329(f329(f41(x78781,f917(x78784,x78782)),x78783),x78785),x78786))
% 192.24/192.22 [8679]E(f329(f329(f40(x86791,f917(x86792,a904)),x86793),f329(f329(f8(f917(x86792,a904),f917(x86792,a904),x86791),f329(f311(x86792),x86794)),x86795)),f329(f329(f311(x86792),x86794),f329(f329(f40(x86791,f917(x86792,a904)),x86793),x86795)))+~P1(f329(f329(f331(x86791),x86796),x86793))
% 192.24/192.22 [9114]~P11(x91142)+E(f329(f329(f40(x91141,x91142),x91143),f329(f329(f8(f917(x91144,x91142),x91142,x91141),f329(f40(x91144,x91142),x91145)),f329(f7(x91144,x91141,x91142),x91146))),f329(f329(f40(x91144,x91142),x91145),f329(f329(f8(f917(x91141,x91142),x91142,x91144),f329(f40(x91141,x91142),x91143)),x91146)))
% 192.24/192.22 [9115]~P11(x91152)+E(f329(f329(f41(x91151,x91152),x91153),f329(f329(f8(f917(x91154,x91152),x91152,x91151),f329(f41(x91154,x91152),x91155)),f329(f7(x91154,x91151,x91152),x91156))),f329(f329(f41(x91154,x91152),x91155),f329(f329(f8(f917(x91151,x91152),x91152,x91154),f329(f41(x91151,x91152),x91153)),x91156)))
% 192.24/192.22 [9333]P1(f329(f329(f331(x93331),x93332),f329(f175(x93331),x93333)))+~P1(f329(f329(f331(f916(x93334,x93331)),f329(f329(f257(x93334,x93331),x93335),x93332)),f329(f175(f916(x93334,x93331)),f329(f329(f184(x93334,x93331),x93336),x93333))))
% 192.24/192.22 [9334]P1(f329(f329(f331(x93341),x93342),f329(f175(x93341),x93343)))+~P1(f329(f329(f331(f916(x93341,x93344)),f329(f329(f257(x93341,x93344),x93342),x93345)),f329(f175(f916(x93341,x93344)),f329(f329(f184(x93341,x93344),x93343),x93346))))
% 192.24/192.22 [9436]P1(f329(f329(f239(f917(x94361,a904)),f329(f288(x94362,x94361,x94363),x94364)),x94365))+~P1(f329(f329(f239(f917(f916(x94362,x94361),a904)),x94363),f329(f329(f259(x94362,x94361),x94366),f329(f16(f917(x94361,a904),x94362),x94365))))
% 192.24/192.22 [9631]P1(f329(f329(f331(f916(f910(x96311),f910(x96311))),f329(f329(f257(f910(x96311),f910(x96311)),f329(f329(f154(x96311),x96312),x96313)),f329(f329(f154(x96311),x96314),x96315))),f150(x96311,x96316)))+~P1(f329(f329(f331(f916(x96311,x96311)),f329(f329(f257(x96311,x96311),x96312),x96314)),x96316))
% 192.24/192.22 [10074]E(f329(f329(f257(x100741,x100742),f579(x100743,x100744,x100745,x100742,x100741,x100746)),f580(x100743,x100744,x100745,x100742,x100741,x100746)),x100746)+P1(f329(f329(f331(x100745),x100744),f329(f329(f262(x100741,x100742,f917(x100745,a904)),x100743),x100746)))
% 192.24/192.22 [10080]E(f329(f329(f257(x100801,x100802),f581(x100803,x100804,x100802,x100801,x100805,x100806)),f582(x100803,x100804,x100802,x100801,x100805,x100806)),x100803)+~P1(f329(f329(f331(x100806),x100805),f329(f329(f262(x100801,x100802,f917(x100806,a904)),x100804),x100803)))
% 192.24/192.22 [10241]P1(f329(f329(f331(x102411),x102412),f329(f329(x102413,f581(x102414,x102413,x102415,x102416,x102412,x102411)),f582(x102414,x102413,x102415,x102416,x102412,x102411))))+~P1(f329(f329(f331(x102411),x102412),f329(f329(f262(x102416,x102415,f917(x102411,a904)),x102413),x102414)))
% 192.24/192.22 [10265]~P1(f329(f329(f331(x102651),x102652),f329(f329(x102655,f579(x102655,x102652,x102651,x102654,x102653,x102656)),f580(x102655,x102652,x102651,x102654,x102653,x102656))))+P1(f329(f329(f331(x102651),x102652),f329(f329(f262(x102653,x102654,f917(x102651,a904)),x102655),x102656)))
% 192.24/192.22 [8569]E(x85691,x85692)+E(f329(f329(f162(x85693,f329(f329(f162(x85693,x85694),x85691),x85695)),x85692),x85696),f329(f329(f162(x85693,f329(f329(f162(x85693,x85694),x85692),x85696)),x85691),x85695))
% 192.24/192.22 [9689]~P1(f329(f329(f331(x96893),x96896),x96895))+E(f329(f329(f311(x96891),x96892),f329(f312(x96893,x96891,x96894),f329(f329(f23(f917(x96893,a904)),x96895),f329(f329(f311(x96893),x96896),f191(f917(x96893,a904)))))),f329(f312(x96893,x96891,f76(x96893,x96891,x96894,x96896,x96892)),x96895))
% 192.24/192.22 [9196]~P1(f329(f329(x91964,x91965),x91966))+P1(f329(f329(f329(f329(f115(f917(x91961,f917(x91962,a904))),x91963),x91964),x91965),x91966))
% 192.24/192.22 [9198]~P1(f329(f329(x91983,x91985),x91986))+P1(f329(f329(f329(f329(f115(f917(x91981,f917(x91982,a904))),x91983),x91984),x91985),x91986))
% 192.24/192.22 [9491]P1(f329(f329(x94911,x94912),x94913))+~P1(f329(f329(f329(f329(f106(f917(x94914,f917(x94915,a904))),x94916),x94911),x94912),x94913))
% 192.24/192.22 [9492]P1(f329(f329(x94921,x94922),x94923))+~P1(f329(f329(f329(f329(f106(f917(x94924,f917(x94925,a904))),x94921),x94926),x94922),x94923))
% 192.24/192.22 [9926]~P77(x99262)+E(f329(f329(f6(x99261,x99262),f329(f329(f7(x99261,f917(x99263,a904),x99262),f329(f329(f8(f917(x99263,x99262),f917(f917(x99263,a904),x99262),x99261),f6(x99263,x99262)),x99264)),x99265)),x99266),f329(f329(f6(f916(x99261,x99263),x99262),f329(f262(x99261,x99263,x99262),x99264)),f329(f329(f259(x99261,x99263),x99266),f329(f16(f917(x99263,a904),x99261),x99265))))
% 192.24/192.22 [9927]~P80(x99272)+E(f329(f329(f9(x99271,x99272),f329(f329(f7(x99271,f917(x99273,a904),x99272),f329(f329(f8(f917(x99273,x99272),f917(f917(x99273,a904),x99272),x99271),f9(x99273,x99272)),x99274)),x99275)),x99276),f329(f329(f9(f916(x99271,x99273),x99272),f329(f262(x99271,x99273,x99272),x99274)),f329(f329(f259(x99271,x99273),x99276),f329(f16(f917(x99273,a904),x99271),x99275))))
% 192.24/192.22 [10057]~P77(x100572)+E(f329(f329(f6(x100571,x100572),f329(f329(f7(x100571,f917(x100573,a904),x100572),f329(f329(f8(f917(x100573,x100572),f917(f917(x100573,a904),x100572),x100571),f6(x100573,x100572)),f329(f7(x100573,x100571,x100572),x100574))),x100575)),x100576),f329(f329(f6(x100573,x100572),f329(f329(f7(x100573,f917(x100571,a904),x100572),f329(f329(f8(f917(x100571,x100572),f917(f917(x100571,a904),x100572),x100573),f6(x100571,x100572)),x100574)),x100576)),x100575))
% 192.24/192.22 [10357]~P1(f329(f329(f331(f916(x103571,x103572)),f329(f329(f257(x103571,x103572),x103575),x103576)),f329(f329(f115(f917(f916(x103571,x103572),a904)),x103573),x103574)))+P1(f329(f329(f329(f329(f115(f917(x103571,f917(x103572,a904))),f329(f329(f7(x103571,f917(f916(x103571,x103572),a904),f917(x103572,a904)),f329(f329(f8(f917(x103572,f917(f917(f916(x103571,x103572),a904),a904)),f917(f917(f916(x103571,x103572),a904),f917(x103572,a904)),x103571),f7(x103572,f917(f916(x103571,x103572),a904),a904)),f329(f329(f8(f917(x103572,f916(x103571,x103572)),f917(x103572,f917(f917(f916(x103571,x103572),a904),a904)),x103571),f329(f8(f916(x103571,x103572),f917(f917(f916(x103571,x103572),a904),a904),x103572),f331(f916(x103571,x103572)))),f257(x103571,x103572)))),x103573)),f329(f329(f7(x103571,f917(f916(x103571,x103572),a904),f917(x103572,a904)),f329(f329(f8(f917(x103572,f917(f917(f916(x103571,x103572),a904),a904)),f917(f917(f916(x103571,x103572),a904),f917(x103572,a904)),x103571),f7(x103572,f917(f916(x103571,x103572),a904),a904)),f329(f329(f8(f917(x103572,f916(x103571,x103572)),f917(x103572,f917(f917(f916(x103571,x103572),a904),a904)),x103571),f329(f8(f916(x103571,x103572),f917(f917(f916(x103571,x103572),a904),a904),x103572),f331(f916(x103571,x103572)))),f257(x103571,x103572)))),x103574)),x103575),x103576))
% 192.24/192.22 [10358]~P1(f329(f329(f331(f916(x103581,x103582)),f329(f329(f257(x103581,x103582),x103585),x103586)),f329(f329(f106(f917(f916(x103581,x103582),a904)),x103583),x103584)))+P1(f329(f329(f329(f329(f106(f917(x103581,f917(x103582,a904))),f329(f329(f7(x103581,f917(f916(x103581,x103582),a904),f917(x103582,a904)),f329(f329(f8(f917(x103582,f917(f917(f916(x103581,x103582),a904),a904)),f917(f917(f916(x103581,x103582),a904),f917(x103582,a904)),x103581),f7(x103582,f917(f916(x103581,x103582),a904),a904)),f329(f329(f8(f917(x103582,f916(x103581,x103582)),f917(x103582,f917(f917(f916(x103581,x103582),a904),a904)),x103581),f329(f8(f916(x103581,x103582),f917(f917(f916(x103581,x103582),a904),a904),x103582),f331(f916(x103581,x103582)))),f257(x103581,x103582)))),x103583)),f329(f329(f7(x103581,f917(f916(x103581,x103582),a904),f917(x103582,a904)),f329(f329(f8(f917(x103582,f917(f917(f916(x103581,x103582),a904),a904)),f917(f917(f916(x103581,x103582),a904),f917(x103582,a904)),x103581),f7(x103582,f917(f916(x103581,x103582),a904),a904)),f329(f329(f8(f917(x103582,f916(x103581,x103582)),f917(x103582,f917(f917(f916(x103581,x103582),a904),a904)),x103581),f329(f8(f916(x103581,x103582),f917(f917(f916(x103581,x103582),a904),a904),x103582),f331(f916(x103581,x103582)))),f257(x103581,x103582)))),x103584)),x103585),x103586))
% 192.24/192.22 [10365]P1(f329(f329(f331(f916(x103651,x103652)),f329(f329(f257(x103651,x103652),x103653),x103654)),f329(f329(f115(f917(f916(x103651,x103652),a904)),x103655),x103656)))+~P1(f329(f329(f329(f329(f115(f917(x103651,f917(x103652,a904))),f329(f329(f7(x103651,f917(f916(x103651,x103652),a904),f917(x103652,a904)),f329(f329(f8(f917(x103652,f917(f917(f916(x103651,x103652),a904),a904)),f917(f917(f916(x103651,x103652),a904),f917(x103652,a904)),x103651),f7(x103652,f917(f916(x103651,x103652),a904),a904)),f329(f329(f8(f917(x103652,f916(x103651,x103652)),f917(x103652,f917(f917(f916(x103651,x103652),a904),a904)),x103651),f329(f8(f916(x103651,x103652),f917(f917(f916(x103651,x103652),a904),a904),x103652),f331(f916(x103651,x103652)))),f257(x103651,x103652)))),x103655)),f329(f329(f7(x103651,f917(f916(x103651,x103652),a904),f917(x103652,a904)),f329(f329(f8(f917(x103652,f917(f917(f916(x103651,x103652),a904),a904)),f917(f917(f916(x103651,x103652),a904),f917(x103652,a904)),x103651),f7(x103652,f917(f916(x103651,x103652),a904),a904)),f329(f329(f8(f917(x103652,f916(x103651,x103652)),f917(x103652,f917(f917(f916(x103651,x103652),a904),a904)),x103651),f329(f8(f916(x103651,x103652),f917(f917(f916(x103651,x103652),a904),a904),x103652),f331(f916(x103651,x103652)))),f257(x103651,x103652)))),x103656)),x103653),x103654))
% 192.24/192.22 [10366]P1(f329(f329(f331(f916(x103661,x103662)),f329(f329(f257(x103661,x103662),x103663),x103664)),f329(f329(f106(f917(f916(x103661,x103662),a904)),x103665),x103666)))+~P1(f329(f329(f329(f329(f106(f917(x103661,f917(x103662,a904))),f329(f329(f7(x103661,f917(f916(x103661,x103662),a904),f917(x103662,a904)),f329(f329(f8(f917(x103662,f917(f917(f916(x103661,x103662),a904),a904)),f917(f917(f916(x103661,x103662),a904),f917(x103662,a904)),x103661),f7(x103662,f917(f916(x103661,x103662),a904),a904)),f329(f329(f8(f917(x103662,f916(x103661,x103662)),f917(x103662,f917(f917(f916(x103661,x103662),a904),a904)),x103661),f329(f8(f916(x103661,x103662),f917(f917(f916(x103661,x103662),a904),a904),x103662),f331(f916(x103661,x103662)))),f257(x103661,x103662)))),x103665)),f329(f329(f7(x103661,f917(f916(x103661,x103662),a904),f917(x103662,a904)),f329(f329(f8(f917(x103662,f917(f917(f916(x103661,x103662),a904),a904)),f917(f917(f916(x103661,x103662),a904),f917(x103662,a904)),x103661),f7(x103662,f917(f916(x103661,x103662),a904),a904)),f329(f329(f8(f917(x103662,f916(x103661,x103662)),f917(x103662,f917(f917(f916(x103661,x103662),a904),a904)),x103661),f329(f8(f916(x103661,x103662),f917(f917(f916(x103661,x103662),a904),a904),x103662),f331(f916(x103661,x103662)))),f257(x103661,x103662)))),x103666)),x103663),x103664))
% 192.24/192.22 [10352]~P1(f329(f329(f331(f916(x103522,x103523)),f329(f329(f257(x103522,x103523),x103525),x103526)),f329(f329(f40(x103521,f917(f916(x103522,x103523),a904)),f247(f917(x103521,a904))),x103524)))+P1(f329(f329(f329(f329(f40(x103521,f917(x103522,f917(x103523,a904))),f247(f917(x103521,a904))),f329(f329(f8(f917(f916(x103522,x103523),a904),f917(x103522,f917(x103523,a904)),x103521),f329(f7(x103522,f917(f916(x103522,x103523),a904),f917(x103523,a904)),f329(f329(f8(f917(x103523,f917(f917(f916(x103522,x103523),a904),a904)),f917(f917(f916(x103522,x103523),a904),f917(x103523,a904)),x103522),f7(x103523,f917(f916(x103522,x103523),a904),a904)),f329(f329(f8(f917(x103523,f916(x103522,x103523)),f917(x103523,f917(f917(f916(x103522,x103523),a904),a904)),x103522),f329(f8(f916(x103522,x103523),f917(f917(f916(x103522,x103523),a904),a904),x103523),f331(f916(x103522,x103523)))),f257(x103522,x103523))))),x103524)),x103525),x103526))
% 192.24/192.22 [10353]~P1(f329(f329(f331(f916(x103532,x103533)),f329(f329(f257(x103532,x103533),x103535),x103536)),f329(f329(f41(x103531,f917(f916(x103532,x103533),a904)),f247(f917(x103531,a904))),x103534)))+P1(f329(f329(f329(f329(f41(x103531,f917(x103532,f917(x103533,a904))),f247(f917(x103531,a904))),f329(f329(f8(f917(f916(x103532,x103533),a904),f917(x103532,f917(x103533,a904)),x103531),f329(f7(x103532,f917(f916(x103532,x103533),a904),f917(x103533,a904)),f329(f329(f8(f917(x103533,f917(f917(f916(x103532,x103533),a904),a904)),f917(f917(f916(x103532,x103533),a904),f917(x103533,a904)),x103532),f7(x103533,f917(f916(x103532,x103533),a904),a904)),f329(f329(f8(f917(x103533,f916(x103532,x103533)),f917(x103533,f917(f917(f916(x103532,x103533),a904),a904)),x103532),f329(f8(f916(x103532,x103533),f917(f917(f916(x103532,x103533),a904),a904),x103533),f331(f916(x103532,x103533)))),f257(x103532,x103533))))),x103534)),x103535),x103536))
% 192.24/192.22 [10362]P1(f329(f329(f331(f916(x103621,x103622)),f329(f329(f257(x103621,x103622),x103623),x103624)),f329(f329(f40(x103625,f917(f916(x103621,x103622),a904)),f247(f917(x103625,a904))),x103626)))+~P1(f329(f329(f329(f329(f40(x103625,f917(x103621,f917(x103622,a904))),f247(f917(x103625,a904))),f329(f329(f8(f917(f916(x103621,x103622),a904),f917(x103621,f917(x103622,a904)),x103625),f329(f7(x103621,f917(f916(x103621,x103622),a904),f917(x103622,a904)),f329(f329(f8(f917(x103622,f917(f917(f916(x103621,x103622),a904),a904)),f917(f917(f916(x103621,x103622),a904),f917(x103622,a904)),x103621),f7(x103622,f917(f916(x103621,x103622),a904),a904)),f329(f329(f8(f917(x103622,f916(x103621,x103622)),f917(x103622,f917(f917(f916(x103621,x103622),a904),a904)),x103621),f329(f8(f916(x103621,x103622),f917(f917(f916(x103621,x103622),a904),a904),x103622),f331(f916(x103621,x103622)))),f257(x103621,x103622))))),x103626)),x103623),x103624))
% 192.24/192.22 [10363]P1(f329(f329(f331(f916(x103631,x103632)),f329(f329(f257(x103631,x103632),x103633),x103634)),f329(f329(f41(x103635,f917(f916(x103631,x103632),a904)),f247(f917(x103635,a904))),x103636)))+~P1(f329(f329(f329(f329(f41(x103635,f917(x103631,f917(x103632,a904))),f247(f917(x103635,a904))),f329(f329(f8(f917(f916(x103631,x103632),a904),f917(x103631,f917(x103632,a904)),x103635),f329(f7(x103631,f917(f916(x103631,x103632),a904),f917(x103632,a904)),f329(f329(f8(f917(x103632,f917(f917(f916(x103631,x103632),a904),a904)),f917(f917(f916(x103631,x103632),a904),f917(x103632,a904)),x103631),f7(x103632,f917(f916(x103631,x103632),a904),a904)),f329(f329(f8(f917(x103632,f916(x103631,x103632)),f917(x103632,f917(f917(f916(x103631,x103632),a904),a904)),x103631),f329(f8(f916(x103631,x103632),f917(f917(f916(x103631,x103632),a904),a904),x103632),f331(f916(x103631,x103632)))),f257(x103631,x103632))))),x103636)),x103633),x103634))
% 192.24/192.22 [7553]E(f329(x75531,f329(x75532,x75533)),f329(x75534,x75533))+~E(f329(f74(x75535,x75536,x75537,x75531),x75532),x75534)
% 192.24/192.22 [9705]E(x97051,x97052)+E(f76(x97053,x97054,f76(x97053,x97054,x97055,x97051,x97056),x97052,x97057),f76(x97053,x97054,f76(x97053,x97054,x97055,x97052,x97057),x97051,x97056))
% 192.24/192.22 [9798]~P28(x97983,x97984,x97981,x97985,x97986,x97987)+E(f329(f329(x97981,x97982),x97982),x97982)
% 192.24/192.22 [6114]~E(f329(f329(f157(x61141,x61145),x61146),x61142),f329(f329(f157(x61143,x61145),x61147),x61144))+E(f329(f192(f910(x61141)),x61142),f329(f192(f910(x61143)),x61144))
% 192.24/192.22 [8608]E(f329(x86081,f329(x86082,x86083)),f329(x86084,x86083))+~E(f329(f74(x86085,x86086,x86087,x86081),x86082),f329(f74(x86086,x86086,x86087,f33(x86086)),x86084))
% 192.24/192.22 [8947]~P41(x89474,x89475,x89471,f329(f329(f154(x89474),x89472),x89476),f329(f329(f154(x89475),x89473),x89477))+P1(f329(f329(x89471,x89472),x89473))
% 192.24/192.22 [9340]P41(x93401,x93402,x93403,x93404,x93405)+~P41(x93401,x93402,x93403,f329(f329(f154(x93401),x93406),x93404),f329(f329(f154(x93402),x93407),x93405))
% 192.24/192.22 [9960]P1(f329(f329(x99601,x99602),f533(x99603,x99602,x99604,x99601)))+~P1(f329(f329(f258(x99605,x99606,x99607,x99601,x99604),x99602),x99603))
% 192.24/192.22 [9982]P1(f329(f329(x99821,f533(x99822,x99823,x99821,x99824)),x99822))+~P1(f329(f329(f258(x99825,x99826,x99827,x99824,x99821),x99823),x99822))
% 192.24/192.22 [6160]E(x61601,x61602)+~E(f329(f329(f329(f93(x61603),x61604),x61605),x61601),f329(f329(f329(f93(x61603),x61606),x61607),x61602))
% 192.24/192.22 [6161]E(x61611,x61612)+~E(f329(f329(f329(f93(x61613),x61614),x61611),x61615),f329(f329(f329(f93(x61613),x61616),x61612),x61617))
% 192.24/192.22 [6162]E(x61621,x61622)+~E(f329(f329(f329(f93(x61623),x61621),x61624),x61625),f329(f329(f329(f93(x61623),x61622),x61626),x61627))
% 192.24/192.22 [9069]~P26(x90696,x90691,x90693,x90697)+E(f329(f74(x90691,x90691,x90692,f329(x90693,x90694)),f329(f74(x90691,x90691,x90692,f329(x90693,x90694)),x90695)),f329(f74(x90691,x90691,x90692,f329(x90693,x90694)),x90695))
% 192.24/192.22 [9443]~P41(x94433,x94432,x94434,f329(f329(f157(x94431,x94433),x94435),x94436),x94437)+P41(x94431,x94432,f329(f329(f8(x94433,f917(x94432,a904),x94431),x94434),x94435),x94436,x94437)
% 192.24/192.22 [9467]P41(x94671,x94672,x94673,f329(f329(f157(x94674,x94671),x94675),x94676),x94677)+~P41(x94674,x94672,f329(f329(f8(x94671,f917(x94672,a904),x94674),x94673),x94675),x94676,x94677)
% 192.24/192.22 [9068]~P1(f329(f329(f331(x90681),x90682),f329(f329(x90685,x90686),x90687)))+P1(f329(f329(f331(x90681),x90682),f329(f329(f262(x90683,x90684,f917(x90681,a904)),x90685),f329(f329(f257(x90683,x90684),x90686),x90687))))
% 192.24/192.22 [9362]P1(f329(f329(f329(x93621,x93622),x93623),x93624))+~P1(f329(f329(f329(f262(x93625,x93626,f917(x93627,a904)),x93621),f329(f329(f257(x93625,x93626),x93622),x93623)),x93624))
% 192.24/192.22 [9505]P1(f329(f329(f331(x95051),f329(f329(x95052,x95053),x95054)),f329(f312(f916(x95055,x95056),x95051,f329(f262(x95055,x95056,x95051),x95052)),x95057)))+~P1(f329(f329(f331(f916(x95055,x95056)),f329(f329(f257(x95055,x95056),x95053),x95054)),x95057))
% 192.24/192.22 [9846]P1(f329(f329(f331(f916(f910(x98461),f910(x98461))),f329(f329(f257(f910(x98461),f910(x98461)),f329(f329(f137(x98461),x98462),f329(f329(f154(x98461),x98463),x98464))),f329(f329(f137(x98461),x98462),f329(f329(f154(x98461),x98465),x98466)))),f150(x98461,x98467)))+~P1(f329(f329(f331(f916(x98461,x98461)),f329(f329(f257(x98461,x98461),x98463),x98465)),x98467))
% 192.24/192.22 [9910]~P41(x99101,x99103,x99104,x99106,f329(f329(f157(x99102,x99103),x99105),x99107))+P41(x99101,x99102,f329(f329(f7(x99101,f917(x99102,x99103),f917(x99102,a904)),f329(f329(f8(f917(x99103,a904),f917(f917(x99102,x99103),f917(x99102,a904)),x99101),f8(x99103,a904,x99102)),x99104)),x99105),x99106,x99107)
% 192.24/192.22 [9986]P41(x99861,x99862,x99863,x99864,f329(f329(f157(x99865,x99862),x99866),x99867))+~P41(x99861,x99865,f329(f329(f7(x99861,f917(x99865,x99862),f917(x99865,a904)),f329(f329(f8(f917(x99862,a904),f917(f917(x99865,x99862),f917(x99865,a904)),x99861),f8(x99862,a904,x99865)),x99863)),x99866),x99864,x99867)
% 192.24/192.22 [10277]P1(f329(f329(f331(x102771),f634(x102772,x102773,x102774,x102775,x102776,x102777,x102771)),x102775))+P1(f329(f329(f329(f329(f41(x102771,f917(x102777,f917(x102776,a904))),x102775),x102774),x102773),x102772))
% 192.24/192.22 [10278]P1(f329(f329(f331(x102781),f811(x102782,x102783,x102784,x102785,x102786,x102787,x102781)),x102787))+P1(f329(f329(f329(f329(f41(x102781,f917(x102783,f917(x102782,a904))),x102787),x102786),x102785),x102784))
% 192.24/192.22 [10279]P1(f329(f329(f331(x102791),f459(x102792,x102793,x102794,x102795,x102796,x102797,x102791)),x102795))+~P1(f329(f329(f329(f329(f40(x102791,f917(x102797,f917(x102796,a904))),x102795),x102794),x102793),x102792))
% 192.24/192.22 [10280]P1(f329(f329(f331(x102801),f812(x102802,x102803,x102804,x102805,x102806,x102807,x102801)),x102805))+~P1(f329(f329(f329(f329(f40(x102801,f917(x102807,f917(x102806,a904))),x102805),x102804),x102803),x102802))
% 192.24/192.22 [10312]P1(f329(f329(f329(x103121,f459(x103122,x103123,x103121,x103124,x103125,x103126,x103127)),x103123),x103122))+~P1(f329(f329(f329(f329(f40(x103127,f917(x103126,f917(x103125,a904))),x103124),x103121),x103123),x103122))
% 192.24/192.22 [10313]P1(f329(f329(f329(x103131,f812(x103132,x103133,x103131,x103134,x103135,x103136,x103137)),x103133),x103132))+~P1(f329(f329(f329(f329(f40(x103137,f917(x103136,f917(x103135,a904))),x103134),x103131),x103133),x103132))
% 192.24/192.22 [10329]~P1(f329(f329(f329(x103295,f634(x103297,x103296,x103295,x103294,x103293,x103292,x103291)),x103296),x103297))+P1(f329(f329(f329(f329(f41(x103291,f917(x103292,f917(x103293,a904))),x103294),x103295),x103296),x103297))
% 192.24/192.22 [10330]~P1(f329(f329(f329(x103305,f811(x103303,x103302,x103307,x103306,x103305,x103304,x103301)),x103306),x103307))+P1(f329(f329(f329(f329(f41(x103301,f917(x103302,f917(x103303,a904))),x103304),x103305),x103306),x103307))
% 192.24/192.22 [10351]~P1(f329(f329(f331(f916(x103511,x103513)),f329(f329(f257(x103511,x103513),x103516),x103517)),f329(f329(f291(x103511,x103512,x103513),x103514),x103515)))+P1(f329(f329(f258(x103511,x103512,x103513,f329(f329(f7(x103511,f917(f916(x103511,x103512),a904),f917(x103512,a904)),f329(f329(f8(f917(x103512,f917(f917(f916(x103511,x103512),a904),a904)),f917(f917(f916(x103511,x103512),a904),f917(x103512,a904)),x103511),f7(x103512,f917(f916(x103511,x103512),a904),a904)),f329(f329(f8(f917(x103512,f916(x103511,x103512)),f917(x103512,f917(f917(f916(x103511,x103512),a904),a904)),x103511),f329(f8(f916(x103511,x103512),f917(f917(f916(x103511,x103512),a904),a904),x103512),f331(f916(x103511,x103512)))),f257(x103511,x103512)))),x103514),f329(f329(f7(x103512,f917(f916(x103512,x103513),a904),f917(x103513,a904)),f329(f329(f8(f917(x103513,f917(f917(f916(x103512,x103513),a904),a904)),f917(f917(f916(x103512,x103513),a904),f917(x103513,a904)),x103512),f7(x103513,f917(f916(x103512,x103513),a904),a904)),f329(f329(f8(f917(x103513,f916(x103512,x103513)),f917(x103513,f917(f917(f916(x103512,x103513),a904),a904)),x103512),f329(f8(f916(x103512,x103513),f917(f917(f916(x103512,x103513),a904),a904),x103513),f331(f916(x103512,x103513)))),f257(x103512,x103513)))),x103515)),x103516),x103517))
% 192.24/192.22 [10361]P1(f329(f329(f331(f916(x103611,x103612)),f329(f329(f257(x103611,x103612),x103613),x103614)),f329(f329(f291(x103611,x103615,x103612),x103616),x103617)))+~P1(f329(f329(f258(x103611,x103615,x103612,f329(f329(f7(x103611,f917(f916(x103611,x103615),a904),f917(x103615,a904)),f329(f329(f8(f917(x103615,f917(f917(f916(x103611,x103615),a904),a904)),f917(f917(f916(x103611,x103615),a904),f917(x103615,a904)),x103611),f7(x103615,f917(f916(x103611,x103615),a904),a904)),f329(f329(f8(f917(x103615,f916(x103611,x103615)),f917(x103615,f917(f917(f916(x103611,x103615),a904),a904)),x103611),f329(f8(f916(x103611,x103615),f917(f917(f916(x103611,x103615),a904),a904),x103615),f331(f916(x103611,x103615)))),f257(x103611,x103615)))),x103616),f329(f329(f7(x103615,f917(f916(x103615,x103612),a904),f917(x103612,a904)),f329(f329(f8(f917(x103612,f917(f917(f916(x103615,x103612),a904),a904)),f917(f917(f916(x103615,x103612),a904),f917(x103612,a904)),x103615),f7(x103612,f917(f916(x103615,x103612),a904),a904)),f329(f329(f8(f917(x103612,f916(x103615,x103612)),f917(x103612,f917(f917(f916(x103615,x103612),a904),a904)),x103615),f329(f8(f916(x103615,x103612),f917(f917(f916(x103615,x103612),a904),a904),x103612),f331(f916(x103615,x103612)))),f257(x103615,x103612)))),x103617)),x103613),x103614))
% 192.24/192.22 [10289]~P142(x102892)+E(f329(f329(f6(x102891,x102892),f329(f329(f7(x102891,f917(x102893,a904),x102892),f329(f329(f8(f917(x102893,x102892),f917(f917(x102893,a904),x102892),x102891),f6(x102893,x102892)),f329(f329(f7(x102891,f917(x102893,x102892),f917(x102893,x102892)),f329(f329(f8(f917(x102892,x102892),f917(f917(x102893,x102892),f917(x102893,x102892)),x102891),f8(x102892,x102892,x102893)),f329(f329(f8(x102892,f917(x102892,x102892),x102891),f83(x102892)),x102894))),x102895))),x102896)),x102897),f329(f329(f83(x102892),f329(f329(f6(x102891,x102892),x102894),x102897)),f329(f329(f6(x102893,x102892),x102895),x102896)))
% 192.24/192.22 [9394]~P25(x93947,x93941,x93943,x93948)+E(f329(f74(x93941,x93941,x93942,f329(x93943,x93944)),f329(f74(x93941,x93941,x93942,f329(x93943,x93945)),x93946)),f329(f74(x93941,x93941,x93942,f329(x93943,x93945)),f329(f74(x93941,x93941,x93942,f329(x93943,x93944)),x93946)))
% 192.24/192.22 [10355]E(f329(f329(f257(x103551,x103552),f329(x103553,f554(x103554,x103555,x103553,x103556,x103557,x103558,x103552,x103551))),f329(x103555,f555(x103554,x103555,x103553,x103556,x103557,x103558,x103552,x103551))),x103558)+~P1(f329(f329(f331(f916(x103551,x103552)),x103558),f329(f312(f916(x103557,x103556),f916(x103551,x103552),f263(x103557,x103551,x103556,x103552,x103553,x103555)),x103554)))
% 192.24/192.22 [10370]~P1(f329(f329(f331(f916(x103708,x103707)),x103706),f329(f312(f916(x103701,x103702),f916(x103708,x103707),f263(x103701,x103708,x103702,x103707,x103705,x103704)),x103703)))+P1(f329(f329(f331(f916(x103701,x103702)),f329(f329(f257(x103701,x103702),f554(x103703,x103704,x103705,x103702,x103701,x103706,x103707,x103708)),f555(x103703,x103704,x103705,x103702,x103701,x103706,x103707,x103708))),x103703))
% 192.24/192.22 [9835]P1(f329(f329(f331(f916(f916(x98351,x98352),f916(x98351,x98352))),f329(f329(f257(f916(x98351,x98352),f916(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(f916(x98351,x98351)),f329(f329(f257(x98351,x98351),x98353),x98355)),x98357))
% 192.24/192.22 [10344]E(f329(f145(x103441,x103442,f329(f7(x103442,x103441,x103441),x103443),f329(x103444,x103445)),x103446),f329(x103444,f329(f145(x103447,x103442,f329(f7(x103442,x103447,x103447),x103448),x103445),x103446)))+P1(f329(f329(f331(x103442),f755(x103445,x103448,x103444,x103443,x103447,x103441,x103446,x103442)),f329(f175(x103442),x103446)))
% 192.24/192.22 [10364]~E(f329(f74(x103641,x103641,x103647,f329(x103643,f755(x103645,x103648,x103644,x103643,x103647,x103641,x103646,x103642))),x103644),f329(f74(x103647,x103641,x103647,x103644),f329(x103648,f755(x103645,x103648,x103644,x103643,x103647,x103641,x103646,x103642))))+E(f329(f145(x103641,x103642,f329(f7(x103642,x103641,x103641),x103643),f329(x103644,x103645)),x103646),f329(x103644,f329(f145(x103647,x103642,f329(f7(x103642,x103647,x103647),x103648),x103645),x103646)))
% 192.24/192.22 [8613]E(f329(x86131,f329(x86132,x86133)),f329(x86134,f329(x86135,x86133)))+~E(f329(f74(x86136,x86137,x86138,x86131),x86132),f329(f74(x86139,x86137,x86138,x86134),x86135))
% 192.24/192.22 [10204]P1(f329(f329(f331(f916(x102041,x102042)),f329(f329(f257(x102041,x102042),f329(x102043,x102044)),f329(x102045,x102046))),f329(f312(f916(x102047,x102048),f916(x102041,x102042),f263(x102047,x102041,x102048,x102042,x102043,x102045)),x102049)))+~P1(f329(f329(f331(f916(x102047,x102048)),f329(f329(f257(x102047,x102048),x102044),x102046)),x102049))
% 192.24/192.22 [8894]~E(f329(x88944,f329(x88945,x88946)),f329(x88949,f329(x889410,x889411)))+E(f329(f329(f74(x88941,x88942,x88943,x88944),x88945),x88946),f329(f329(f74(x88947,x88942,x88948,x88949),x889410),x889411))
% 192.24/192.22 [4682]~P104(x46821)+~P112(x46821)+E(f106(x46821),f237(x46821))
% 192.24/192.22 [4683]~P103(x46831)+~P112(x46831)+E(f115(x46831),f238(x46831))
% 192.24/192.22 [4933]~P120(x49331)+~P96(x49331)+E(f329(f77(x49331),f329(f108(x49331),a102)),f80(x49331))
% 192.24/192.22 [5223]E(x52231,f2(a1))+E(f84(a1,x52231),f329(f81(a1),f80(a1)))+P1(f329(f329(f240(a1),f2(a1)),x52231))
% 192.24/192.22 [5434]E(x54341,f2(a1))+E(f84(a1,x54341),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x54341))
% 192.24/192.22 [7447]~P48(x74471)+P1(f329(f62(a1),x74471))+~P1(f329(f62(a909),f329(f312(a1,a909,a109),x74471)))
% 192.24/192.22 [7457]~P34(a903,a922,a850)+P34(a903,a922,f329(f329(f329(f93(a903),f329(a920,x74571)),f329(a26,x74571)),f329(a923,x74571)))+~P1(f329(f329(f331(a907),x74571),a919))
% 192.24/192.22 [7532]P34(a903,a922,f329(f329(f329(f93(a903),f329(a920,x75321)),f329(a26,x75321)),f329(a923,x75321)))+~P1(f329(f329(f331(a907),x75321),a919))+P1(f329(f329(f331(f908(a903)),a850),a921))
% 192.24/192.22 [9797]E(x97971,f191(f917(f916(a909,a909),a904)))+~P1(f329(f62(f916(a909,a909)),x97971))+P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),f191(f917(f916(a909,a909),a904))),x97971)),a35))
% 192.24/192.22 [9961]E(x99611,f2(a909))+E(x99611,f329(a117,f2(a909)))+~P1(f329(f329(f240(a909),x99611),f329(f108(a909),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)))))
% 192.24/192.22 [10236]E(x102361,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),x102361),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,x102361))+E(f46(a104,x102361,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))
% 192.24/192.22 [10084]E(x100841,f2(a104))+~E(f46(a104,x100841,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),x100841),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,x100841))
% 192.24/192.22 [4764]~P66(x47641,x47642)+P52(x47641,x47642)+~P53(a904)
% 192.24/192.22 [4692]~P109(x46921)+P36(x46921,x46922)+~E(x46922,f2(x46921))
% 192.24/192.22 [4693]~P112(x46931)+P19(x46931,x46932)+~E(x46932,f118(x46931))
% 192.24/192.22 [4702]~P120(x47021)+~E(x47022,f2(x47021))+E(f84(x47021,x47022),f2(x47021))
% 192.24/192.22 [4703]~P93(x47031)+~E(x47032,f2(x47031))+E(f84(x47031,x47032),f2(x47031))
% 192.24/192.22 [4711]~P109(x47112)+~P36(x47112,x47111)+E(x47111,f2(x47112))
% 192.24/192.22 [4756]~P120(x47562)+~E(f84(x47562,x47561),f2(x47562))+E(x47561,f2(x47562))
% 192.24/192.22 [4771]~P8(x47712)+~P8(x47711)+P8(f917(x47711,x47712))
% 192.24/192.22 [4772]~P8(x47722)+~P8(x47721)+P8(f915(x47721,x47722))
% 192.24/192.22 [4773]~P8(x47732)+~P8(x47731)+P8(f916(x47731,x47732))
% 192.24/192.22 [4774]~P12(x47742)+~P12(x47741)+P12(f198(x47741,x47742))
% 192.24/192.22 [4775]~P69(x47752)+~P69(x47751)+P69(f917(x47751,x47752))
% 192.24/192.22 [4776]~P69(x47762)+~P69(x47761)+P69(f915(x47761,x47762))
% 192.24/192.22 [4777]~P69(x47772)+~P69(x47771)+P69(f916(x47771,x47772))
% 192.24/192.22 [4778]~P107(x47782)+~P107(x47781)+P107(f916(x47781,x47782))
% 192.24/192.22 [4905]~P112(x49051)+~P19(x49051,x49052)+P19(x49051,f155(x49051,x49052))
% 192.24/192.22 [5148]~P12(x51482)+~P12(x51481)+P12(f46(a1,x51481,x51482))
% 192.24/192.22 [4713]~P78(x47131)+~E(x47132,f2(x47131))+E(f329(f81(x47131),x47132),x47132)
% 192.24/192.22 [4728]~P129(x47281)+~E(x47282,f2(a1))+E(f329(f107(x47281),x47282),f2(x47281))
% 192.24/192.22 [4729]~P95(x47291)+~E(x47292,f2(a1))+E(f329(f107(x47291),x47292),f2(x47291))
% 192.24/192.22 [4753]~P79(x47531)+~E(f2(x47531),x47532)+E(f329(f81(x47531),x47532),f2(x47531))
% 192.24/192.22 [4754]~P89(x47541)+~E(x47542,f2(x47541))+E(f329(f77(x47541),x47542),f2(x47541))
% 192.24/192.22 [4755]~P79(x47551)+~E(x47552,f2(x47551))+E(f329(f81(x47551),x47552),f2(x47551))
% 192.24/192.22 [4780]~P78(x47802)+E(x47801,f2(x47802))+~E(f329(f81(x47802),x47801),x47801)
% 192.24/192.22 [4786]E(x47861,f329(a109,x47862))+~E(x47861,f2(a909))+~E(x47862,f329(f105(a1),x47861))
% 192.24/192.22 [4787]E(f329(a109,x47871),x47872)+~E(x47872,f2(a909))+~E(x47871,f329(f105(a1),x47872))
% 192.24/192.22 [4791]~P95(x47912)+E(x47911,f2(a1))+~E(f329(f107(x47912),x47911),f2(x47912))
% 192.24/192.22 [4795]~P89(x47952)+E(x47951,f2(x47952))+~E(f329(f77(x47952),x47951),f2(x47952))
% 192.24/192.22 [4796]~P79(x47962)+E(x47961,f2(x47962))+~E(f329(f81(x47962),x47961),f2(x47962))
% 192.24/192.22 [4797]~P79(x47971)+E(f2(x47971),x47972)+~E(f329(f81(x47971),x47972),f2(x47971))
% 192.24/192.22 [4980]~P112(x49801)+~P19(x49801,x49802)+P19(x49801,f329(f174(x49801),x49802))
% 192.24/192.22 [5007]~P1(x50072)+~P1(x50071)+P1(f329(f329(a327,x50071),x50072))
% 192.24/192.22 [5041]~E(f80(a909),f2(a909))+E(f329(f36(x50411),x50412),f2(a909))+~P1(f329(f62(x50411),x50412))
% 192.24/192.22 [5078]~P142(x50781)+~P118(x50781)+E(f329(f329(f249(x50781),f2(x50781)),f329(a117,x50782)),f2(x50781))
% 192.24/192.22 [5116]~P112(x51161)+P19(x51161,f142(x51161,x51162))+~P1(f329(f62(x51161),x51162))
% 192.24/192.22 [5117]~P112(x51171)+P19(x51171,f748(x51172,x51171))+~P1(f329(f62(x51171),x51172))
% 192.24/192.22 [5140]~P112(x51401)+E(f329(f175(x51401),f142(x51401,x51402)),x51402)+~P1(f329(f62(x51401),x51402))
% 192.24/192.22 [5141]~P112(x51411)+E(f329(f175(x51411),f748(x51412,x51411)),x51412)+~P1(f329(f62(x51411),x51412))
% 192.24/192.22 [5169]P1(x51691)+P1(x51692)+~P1(f329(f329(a328,x51692),x51691))
% 192.24/192.22 [5182]E(x51821,f191(f917(x51822,a904)))+~E(f329(f36(x51822),x51821),f2(a909))+~P1(f329(f62(x51822),x51821))
% 192.24/192.22 [5187]P1(x51871)+~P1(x51872)+~P1(f329(f329(a332,x51872),x51871))
% 192.24/192.22 [5241]~P76(x52411)+E(f329(f77(x52411),x52412),x52412)+P1(f329(f329(f240(x52411),x52412),f2(x52411)))
% 192.24/192.22 [5242]~P11(x52422)+~P47(x52422,x52422,x52421)+E(f329(x52421,f101(x52422,x52421)),f101(x52422,x52421))
% 192.24/192.22 [5243]~P11(x52432)+~P47(x52432,x52432,x52431)+E(f329(x52431,f100(x52432,x52431)),f100(x52432,x52431))
% 192.24/192.22 [5304]~P69(x53042)+~P1(f329(f57(x53042),x53041))+P1(f329(x53041,f749(x53041,x53042)))
% 192.24/192.22 [5305]~P69(x53052)+~P1(f329(f57(x53052),x53051))+P1(f329(x53051,f756(x53051,x53052)))
% 192.24/192.22 [5345]E(x53451,f118(x53452))+P1(f329(f140(x53452),f119(x53452,x53451)))+~P1(f329(f140(x53452),x53451))
% 192.24/192.22 [5350]~P112(x53501)+~P1(f329(f62(x53501),x53502))+P1(f329(f140(x53501),f142(x53501,x53502)))
% 192.24/192.22 [5351]~P112(x53511)+~P1(f329(f62(x53511),x53512))+P1(f329(f140(x53511),f748(x53512,x53511)))
% 192.24/192.22 [5356]~P129(x53561)+E(f329(f105(x53561),f329(a109,x53562)),f329(f107(x53561),x53562))+P1(f329(f329(f240(a1),x53562),f2(a1)))
% 192.24/192.22 [5383]P13(x53832,x53831)+E(f329(x53831,f505(x53831)),f329(x53831,f509(x53831)))+P1(f329(f329(x53831,f505(x53831)),f509(x53831)))
% 192.24/192.22 [5396]E(f329(f105(a1),f356(x53961,x53962)),x53961)+P1(f329(x53962,f329(a109,x53961)))+~P1(f329(x53962,f2(a909)))
% 192.24/192.22 [5408]~P69(x54081)+~P1(f329(x54082,f762(x54082,x54081)))+P1(f329(f58(x54081),x54082))
% 192.24/192.22 [5409]~P69(x54091)+~P1(f329(x54092,f772(x54092,x54091)))+P1(f329(f58(x54091),x54092))
% 192.24/192.22 [5444]~P120(x54441)+~E(f84(x54441,x54442),f329(f81(x54441),f80(x54441)))+P1(f329(f329(f240(x54441),x54442),f2(x54441)))
% 192.24/192.22 [5517]~E(x55172,f2(a1))+E(f219(x55171,x55172),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f240(a1),x55172),f2(a1)))
% 192.24/192.22 [5518]~E(x55181,f2(a1))+E(f219(x55181,x55182),f329(f329(f257(a1,a1),f2(a1)),f80(a1)))+P1(f329(f329(f240(a1),x55182),f2(a1)))
% 192.24/192.22 [5568]E(f329(f105(a1),f356(x55681,x55682)),x55681)+P1(f329(x55682,f329(a109,x55681)))+P1(f329(f329(f240(a1),x55681),f2(a1)))
% 192.24/192.22 [5635]~P120(x56351)+E(f84(x56351,x56352),f329(f81(x56351),f80(x56351)))+~P1(f329(f329(f240(x56351),x56352),f2(x56351)))
% 192.24/192.22 [5636]~P89(x56361)+E(f329(f77(x56361),x56362),f329(f81(x56361),x56362))+~P1(f329(f329(f240(x56361),x56362),f2(x56361)))
% 192.24/192.22 [5637]~P89(x56371)+E(f329(f77(x56371),x56372),f329(f81(x56371),x56372))+~P1(f329(f329(f239(x56371),x56372),f2(x56371)))
% 192.24/192.22 [5638]~P76(x56381)+E(f329(f77(x56381),x56382),f329(f81(x56381),x56382))+~P1(f329(f329(f240(x56381),x56382),f2(x56381)))
% 192.24/192.22 [5737]~P1(f329(x57371,f356(x57372,x57371)))+P1(f329(x57371,f329(a109,x57372)))+~P1(f329(x57371,f2(a909)))
% 192.24/192.22 [5744]E(x57441,f2(a909))+E(f329(a117,f804(x57442,x57441)),x57441)+~P1(f329(f329(f240(a909),x57441),f329(a117,x57442)))
% 192.24/192.22 [5748]P13(x57481,x57482)+~E(f329(x57482,f505(x57482)),f329(x57482,f509(x57482)))+~P1(f329(f329(x57482,f505(x57482)),f509(x57482)))
% 192.24/192.22 [5767]~P112(x57671)+P19(x57671,x57672)+P1(f329(f329(f239(a909),f731(x57672,x57671)),f732(x57672,x57671)))
% 192.24/192.22 [5768]~P112(x57681)+P19(x57681,x57682)+P1(f329(f329(f239(a909),f739(x57682,x57681)),f743(x57682,x57681)))
% 192.24/192.22 [5855]~P89(x58551)+~E(x58552,f2(x58551))+P1(f329(f329(f239(x58551),f329(f77(x58551),x58552)),f2(x58551)))
% 192.24/192.22 [5943]~P1(f329(x59431,f356(x59432,x59431)))+P1(f329(x59431,f329(a109,x59432)))+P1(f329(f329(f240(a1),x59432),f2(a1)))
% 192.24/192.22 [5969]~P1(f329(x59691,f329(a109,x59692)))+P1(f329(x59691,f2(a909)))+~P1(f329(f329(f240(a1),x59692),f2(a1)))
% 192.24/192.22 [6313]~P120(x63131)+~P1(f329(f329(f240(x63131),x63132),f2(x63131)))+P1(f329(f329(f240(x63131),f84(x63131,x63132)),f2(x63131)))
% 192.24/192.22 [6426]~P120(x64261)+P1(f329(f329(f240(x64261),f329(f107(x64261),x64262)),f2(x64261)))+~P1(f329(f329(f240(a1),x64262),f2(a1)))
% 192.24/192.22 [6427]~P120(x64271)+P1(f329(f329(f239(x64271),f329(f107(x64271),x64272)),f2(x64271)))+~P1(f329(f329(f239(a1),x64272),f2(a1)))
% 192.24/192.22 [6435]~P89(x64352)+E(x64351,f2(x64352))+~P1(f329(f329(f239(x64352),f329(f77(x64352),x64351)),f2(x64352)))
% 192.24/192.22 [6514]~P129(x65141)+~P1(f329(f329(f331(x65141),x65142),f114(x65141)))+P1(f329(f329(f331(x65141),f329(f81(x65141),x65142)),f114(x65141)))
% 192.24/192.22 [6546]~P120(x65461)+~P1(f329(f329(f240(x65461),f84(x65461,x65462)),f2(x65461)))+P1(f329(f329(f240(x65461),x65462),f2(x65461)))
% 192.24/192.22 [6720]~P120(x67202)+~P1(f329(f329(f240(x67202),f329(f107(x67202),x67201)),f2(x67202)))+P1(f329(f329(f240(a1),x67201),f2(a1)))
% 192.24/192.22 [6721]~P120(x67212)+~P1(f329(f329(f239(x67212),f329(f107(x67212),x67211)),f2(x67212)))+P1(f329(f329(f239(a1),x67211),f2(a1)))
% 192.24/192.22 [6804]~P11(x68041)+~P47(x68041,x68041,x68042)+P1(f329(f329(f239(x68041),f329(x68042,f101(x68041,x68042))),f101(x68041,x68042)))
% 192.24/192.22 [6805]~P11(x68051)+~P47(x68051,x68051,x68052)+P1(f329(f329(f239(x68051),f329(x68052,f100(x68051,x68052))),f100(x68051,x68052)))
% 192.24/192.22 [7218]~P78(x72181)+~P1(f329(f329(f240(x72181),x72182),f2(x72181)))+P1(f329(f329(f240(x72181),f329(f329(f82(x72181),x72182),x72182)),f2(x72181)))
% 192.24/192.22 [7219]~P120(x72191)+~P1(f329(f329(f240(x72191),x72192),f2(x72191)))+P1(f329(f329(f240(x72191),f329(f329(f82(x72191),x72192),x72192)),f2(x72191)))
% 192.24/192.22 [7220]~P78(x72201)+~P1(f329(f329(f239(x72201),x72202),f2(x72201)))+P1(f329(f329(f239(x72201),f329(f329(f82(x72201),x72202),x72202)),f2(x72201)))
% 192.24/192.22 [7800]~P78(x78001)+~P1(f329(f329(f240(x78001),f329(f329(f82(x78001),x78002),x78002)),f2(x78001)))+P1(f329(f329(f240(x78001),x78002),f2(x78001)))
% 192.24/192.22 [7801]~P120(x78011)+~P1(f329(f329(f240(x78011),f329(f329(f82(x78011),x78012),x78012)),f2(x78011)))+P1(f329(f329(f240(x78011),x78012),f2(x78011)))
% 192.24/192.22 [7802]~P78(x78021)+~P1(f329(f329(f239(x78021),f329(f329(f82(x78021),x78022),x78022)),f2(x78021)))+P1(f329(f329(f239(x78021),x78022),f2(x78021)))
% 192.24/192.22 [4832]~E(x48322,f2(a909))+~E(x48321,f2(a909))+E(f329(f329(f82(a909),x48321),x48322),f2(a909))
% 192.24/192.22 [4833]~E(x48332,f80(a909))+~E(x48331,f80(a909))+E(f329(f329(f83(a909),x48331),x48332),f80(a909))
% 192.24/192.22 [4834]~E(x48342,f80(a1))+~E(x48341,f80(a1))+E(f329(f329(f83(a1),x48341),x48342),f80(a1))
% 192.24/192.22 [4889]~P9(x48892)+E(x48891,f2(x48892))+E(f329(f329(f37(x48892),x48891),x48891),f80(x48892))
% 192.24/192.22 [4890]~P123(x48902)+E(x48901,f2(x48902))+E(f329(f329(f292(x48902),x48901),x48901),f80(x48902))
% 192.24/192.22 [4891]~P124(x48912)+E(x48911,f2(x48912))+E(f329(f329(f292(x48912),x48911),x48911),f80(x48912))
% 192.24/192.22 [4909]~P78(x49091)+~E(x49092,f2(x49091))+E(f329(f329(f82(x49091),x49092),x49092),f2(x49091))
% 192.24/192.22 [4912]~P144(x49121)+~E(x49122,f80(x49121))+E(f329(f329(f83(x49121),x49122),x49122),f80(x49121))
% 192.24/192.22 [4913]~P124(x49131)+~E(x49132,f2(x49131))+E(f329(f329(f292(x49131),x49132),x49132),f2(x49131))
% 192.24/192.22 [4958]~E(x49582,f2(a909))+~E(x49581,f2(a909))+E(f329(f81(a1),f329(f105(a1),x49581)),f329(f105(a1),x49582))
% 192.24/192.22 [4977]E(x49771,f80(a909))+E(x49772,f2(a909))+~E(f329(f329(f83(a909),x49772),x49771),x49772)
% 192.24/192.22 [4989]E(x49891,f2(a909))+E(x49892,f2(a909))+~E(f329(f329(f83(a909),x49892),x49891),f2(a909))
% 192.24/192.22 [5016]~E(x50162,f2(a909))+~E(x50161,f329(a117,f2(a909)))+E(f329(f329(f82(a909),x50161),x50162),f329(a117,f2(a909)))
% 192.24/192.22 [5017]~E(x50171,f2(a909))+~E(x50172,f329(a117,f2(a909)))+E(f329(f329(f82(a909),x50171),x50172),f329(a117,f2(a909)))
% 192.24/192.22 [5024]E(x50241,f80(a1))+E(x50242,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50241),x50242),f80(a1))
% 192.24/192.22 [5025]E(x50251,f80(a1))+E(x50252,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50252),x50251),f80(a1))
% 192.24/192.22 [5026]E(x50261,f80(a1))+E(x50261,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50262),x50261),f80(a1))
% 192.24/192.22 [5028]E(x50281,f80(a1))+E(x50281,f329(f108(a1),a102))+~E(f329(f329(f83(a1),x50281),x50282),f80(a1))
% 192.24/192.22 [5050]~P78(x50502)+E(x50501,f2(x50502))+~E(f329(f329(f82(x50502),x50501),x50501),f2(x50502))
% 192.24/192.22 [5056]~E(x50561,f329(f108(a1),a102))+~E(x50562,f329(f108(a1),a102))+E(f329(f329(f83(a1),x50561),x50562),f80(a1))
% 192.24/192.22 [5067]E(x50671,f2(a909))+E(x50672,f2(a909))+~E(f329(f329(f82(a909),x50672),x50671),f329(a117,f2(a909)))
% 192.24/192.22 [5077]~P70(x50771)+~P96(x50771)+E(f329(f329(f292(x50771),x50772),f329(f108(x50771),a85)),f2(x50771))
% 192.24/192.22 [5083]~P144(x50831)+~E(x50832,f329(f81(x50831),f80(x50831)))+E(f329(f329(f83(x50831),x50832),x50832),f80(x50831))
% 192.24/192.22 [5088]~P12(x50882)+~P12(x50881)+P12(f329(f329(f82(a1),x50881),x50882))
% 192.24/192.22 [5089]~P12(x50892)+~P12(x50891)+P12(f329(f329(f83(a1),x50891),x50892))
% 192.24/192.22 [5090]~P12(x50902)+~P12(x50901)+P12(f329(f329(f37(a1),x50901),x50902))
% 192.24/192.22 [5092]~E(x50922,f2(a1))+E(x50921,f2(a1))+E(f47(x50921,x50922),f329(f329(f257(a1,a1),f2(a1)),x50921))
% 192.24/192.22 [5114]~E(x51142,f329(a117,f2(a909)))+~E(x51141,f329(a117,f2(a909)))+E(f329(f329(f83(a909),x51141),x51142),f329(a117,f2(a909)))
% 192.24/192.22 [5131]E(x51311,f2(a909))+E(x51312,f329(a117,f2(a909)))+~E(f329(f329(f249(a909),x51312),x51311),f329(a117,f2(a909)))
% 192.24/192.22 [5132]E(x51321,f2(a909))+E(x51321,f329(a117,f2(a909)))+~E(f329(f329(f82(a909),x51322),x51321),f329(a117,f2(a909)))
% 192.24/192.22 [5133]E(x51331,f2(a909))+E(x51331,f329(a117,f2(a909)))+~E(f329(f329(f82(a909),x51331),x51332),f329(a117,f2(a909)))
% 192.24/192.22 [5142]~P70(x51421)+~P96(x51421)+E(f329(f329(f292(x51421),x51422),f329(f108(x51421),a102)),f329(f81(x51421),x51422))
% 192.24/192.22 [5161]E(x51611,f329(a109,x51612))+~E(x51611,f2(a909))+P1(f329(f329(f239(a1),f2(a1)),x51612))
% 192.24/192.22 [5162]E(f329(a109,x51621),x51622)+~E(x51622,f2(a909))+P1(f329(f329(f239(a1),f2(a1)),x51621))
% 192.24/192.22 [5178]E(x51781,f329(a117,f2(a909)))+E(x51782,f329(a117,f2(a909)))+~E(f329(f329(f82(a909),x51781),x51782),f329(a117,f2(a909)))
% 192.24/192.22 [5189]~E(x51891,f329(a109,x51892))+E(x51891,f2(a909))+P1(f329(f329(f239(a1),f2(a1)),x51892))
% 192.24/192.22 [5190]~E(f329(a109,x51902),x51901)+E(x51901,f2(a909))+P1(f329(f329(f239(a1),f2(a1)),x51902))
% 192.24/192.22 [5216]~P2(x52161)+E(f329(f64(x52161,f115(x52161)),x52162),f13(x52161,x52162))+~P1(f329(f62(x52161),x52162))
% 192.24/192.22 [5217]~P2(x52171)+E(f329(f64(x52171,f106(x52171)),x52172),f10(x52171,x52172))+~P1(f329(f62(x52171),x52172))
% 192.24/192.22 [5218]~P112(x52181)+E(f329(f64(x52181,f237(x52181)),x52182),f14(x52181,x52182))+~P1(f329(f62(x52181),x52182))
% 192.24/192.22 [5219]~P112(x52191)+E(f329(f64(x52191,f238(x52191)),x52192),f15(x52191,x52192))+~P1(f329(f62(x52191),x52192))
% 192.24/192.22 [5299]E(x52991,x52992)+~E(f329(f329(f23(a909),x52992),x52991),f2(a909))+~E(f329(f329(f23(a909),x52991),x52992),f2(a909))
% 192.24/192.22 [5316]P12(x53161)+~P48(x53162)+~P1(f329(f329(f331(a1),x53161),x53162))
% 192.24/192.22 [5346]~P120(x53461)+~E(f84(x53461,x53462),f80(x53461))+P1(f329(f329(f240(x53461),f2(x53461)),x53462))
% 192.24/192.22 [5357]~P96(x53571)+E(f329(f105(x53571),f329(f108(a909),x53572)),f329(f108(x53571),x53572))+P1(f329(a196,f329(f108(a1),x53572)))
% 192.24/192.22 [5362]~P52(x53621,x53622)+P53(a904)+P1(f329(f62(f916(x53621,x53621)),x53622))
% 192.24/192.22 [5436]~P112(x54361)+E(f329(f64(x54361,f238(x54361)),x54362),f11(x54361,f238(x54361),x54362))+~P1(f329(f62(x54361),x54362))
% 192.24/192.22 [5437]~P112(x54371)+E(f329(f64(x54371,f237(x54371)),x54372),f12(x54371,f237(x54371),x54372))+~P1(f329(f62(x54371),x54372))
% 192.24/192.22 [5451]E(x54511,x54512)+P1(f329(f329(f240(a909),x54512),x54511))+P1(f329(f329(f240(a909),x54511),x54512))
% 192.24/192.22 [5452]E(x54521,x54522)+P1(f329(f329(f240(a1),x54522),x54521))+P1(f329(f329(f240(a1),x54521),x54522))
% 192.24/192.22 [5504]~P96(x55041)+E(f329(f105(x55041),f329(f108(a909),x55042)),f2(x55041))+~P1(f329(a196,f329(f108(a1),x55042)))
% 192.24/192.22 [5507]~E(x55072,f329(a109,x55071))+E(x55071,f329(f105(a1),x55072))+~P1(f329(f329(f239(a1),f2(a1)),x55071))
% 192.24/192.22 [5508]~E(f329(a109,x55081),x55082)+E(x55081,f329(f105(a1),x55082))+~P1(f329(f329(f239(a1),f2(a1)),x55081))
% 192.24/192.22 [5509]~E(x55091,f329(a109,x55092))+E(f329(f105(a1),x55091),x55092)+~P1(f329(f329(f239(a1),f2(a1)),x55092))
% 192.24/192.22 [5519]E(x55191,f329(a109,x55192))+~E(x55192,f329(f105(a1),x55191))+~P1(f329(f329(f239(a1),f2(a1)),x55192))
% 192.24/192.22 [5520]E(f329(a109,x55201),x55202)+~E(x55201,f329(f105(a1),x55202))+~P1(f329(f329(f239(a1),f2(a1)),x55201))
% 192.24/192.22 [5559]~P89(x55592)+E(x55591,f2(x55592))+P1(f329(f329(f240(x55592),f2(x55592)),f329(f77(x55592),x55591)))
% 192.24/192.22 [5624]~P120(x56241)+E(f84(x56241,x56242),f80(x56241))+~P1(f329(f329(f240(x56241),f2(x56241)),x56242))
% 192.24/192.22 [5628]~P96(x56281)+E(f329(f105(x56281),f329(f108(a909),x56282)),f2(x56281))+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x56282)))
% 192.24/192.22 [5639]~P89(x56391)+E(f329(f77(x56391),x56392),x56392)+~P1(f329(f329(f240(x56391),f2(x56391)),x56392))
% 192.24/192.22 [5640]~P89(x56401)+E(f329(f77(x56401),x56402),x56402)+~P1(f329(f329(f239(x56401),f2(x56401)),x56402))
% 192.24/192.22 [5649]E(x56491,f2(a909))+~E(f142(a909,f329(f304(a909,x56492),x56491)),f118(a909))+P1(f329(f329(f239(a909),x56491),x56492))
% 192.24/192.22 [5659]~P77(x56591)+E(f329(f329(f6(x56591,x56591),f5(x56591)),f329(f175(x56591),x56592)),f329(f168(x56591),x56592))+~P1(f329(f140(x56591),x56592))
% 192.24/192.22 [5662]~P129(x56621)+E(f329(f105(x56621),f329(a109,x56622)),f329(f107(x56621),x56622))+~P1(f329(f329(f239(a1),f2(a1)),x56622))
% 192.24/192.22 [5689]E(x56891,x56892)+P1(f329(f329(f240(a909),x56891),x56892))+~P1(f329(f329(f239(a909),x56891),x56892))
% 192.24/192.22 [5690]E(x56901,x56902)+P1(f329(f329(f240(a1),x56901),x56902))+~P1(f329(f329(f239(a1),x56901),x56902))
% 192.24/192.22 [5693]E(x56931,f80(a1))+~E(f329(f329(f83(a1),x56932),x56931),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x56932))
% 192.24/192.22 [5694]E(x56941,f80(a1))+~E(f329(f329(f83(a1),x56941),x56942),f80(a1))+~P1(f329(f329(f240(a1),f2(a1)),x56941))
% 192.24/192.22 [5734]~P48(x57342)+P1(f329(f329(f239(a1),f2(a1)),x57341))+~P1(f329(f329(f331(a1),x57341),x57342))
% 192.24/192.22 [5754]~P66(x57541,x57542)+P44(x57541,x57542)+~P1(f329(f62(f916(x57541,x57541)),x57542))
% 192.24/192.22 [5756]~P66(x57561,x57562)+P52(x57561,x57562)+~P1(f329(f62(f916(x57561,x57561)),x57562))
% 192.24/192.22 [5799]E(x57991,f191(f917(x57992,a904)))+~P1(f329(f62(x57992),x57991))+P1(f329(f329(f240(a909),f2(a909)),f329(f36(x57992),x57991)))
% 192.24/192.22 [5826]~P1(f329(x58261,x58262))+P1(f329(x58261,f2(a909)))+P1(f329(f329(f240(a909),f861(x58262,x58261)),x58262))
% 192.24/192.22 [5849]E(x58491,f2(a909))+~E(f329(f168(a909),x58492),f2(a909))+~P1(f329(f329(f331(a909),x58491),f329(f175(a909),x58492)))
% 192.24/192.22 [5915]E(x59151,x59152)+~P1(f329(f329(f239(a909),x59152),x59151))+~P1(f329(f329(f239(a909),x59151),x59152))
% 192.24/192.22 [5916]E(x59161,x59162)+~P1(f329(f329(f239(a1),x59162),x59161))+~P1(f329(f329(f239(a1),x59161),x59162))
% 192.24/192.22 [5918]E(f329(f36(x59181),x59182),f2(a909))+~P1(f329(f62(x59181),x59182))+P1(f329(f329(f331(x59181),f845(x59182,x59181)),x59182))
% 192.24/192.22 [5927]E(f51(x59271,x59272),f47(x59271,x59272))+P1(f329(f329(f239(a1),f2(a1)),x59271))+~P1(f329(f329(f240(a1),f2(a1)),x59272))
% 192.24/192.22 [5956]~P1(f329(x59561,f351(x59561)))+P1(f329(x59561,f329(a109,x59562)))+~P1(f329(f329(f239(a1),f2(a1)),x59562))
% 192.24/192.22 [5959]P1(f329(f329(f240(a909),x59591),f878(x59592)))+~P1(f329(f62(a909),x59592))+~P1(f329(f329(f331(a909),x59591),x59592))
% 192.24/192.22 [5960]P1(f329(f329(f239(a909),x59601),f894(x59602)))+~P1(f329(f62(a909),x59602))+~P1(f329(f329(f331(a909),x59601),x59602))
% 192.24/192.22 [5990]E(x59901,x59902)+~P1(f329(f329(f240(a909),x59901),f329(a117,x59902)))+P1(f329(f329(f240(a909),x59901),x59902))
% 192.24/192.22 [6022]E(x60221,f329(a117,x60222))+~P1(f329(f329(f239(a909),x60221),f329(a117,x60222)))+P1(f329(f329(f239(a909),x60221),x60222))
% 192.24/192.22 [6038]P1(f329(x60381,f359(x60381)))+~P1(f329(x60381,f329(a109,x60382)))+~P1(f329(f329(f239(a1),f2(a1)),x60382))
% 192.24/192.22 [6052]~P1(f329(x60521,x60522))+~P1(f329(f329(f239(a1),f2(a1)),x60522))+P1(f329(x60521,f329(f105(a1),f343(x60521))))
% 192.24/192.22 [6064]~P89(x60642)+~E(x60641,f2(x60642))+~P1(f329(f329(f240(x60642),f2(x60642)),f329(f77(x60642),x60641)))
% 192.24/192.22 [6090]~P66(x60901,x60902)+P44(x60901,f329(f289(x60901,x60901),x60902))+~P1(f329(f62(f916(x60901,x60901)),x60902))
% 192.24/192.22 [6100]~P96(x61001)+E(f329(f105(x61001),f329(f108(a909),x61002)),f329(f108(x61001),x61002))+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x61002)))
% 192.24/192.22 [6104]E(f329(a117,x61041),x61042)+~P1(f329(f329(f240(a909),x61041),x61042))+P1(f329(f329(f240(a909),f329(a117,x61041)),x61042))
% 192.24/192.22 [6120]E(f329(f329(f37(a1),x61201),x61202),f2(a1))+~P1(f329(f329(f239(a1),x61201),f2(a1)))+~P1(f329(f329(f240(a1),x61202),x61201))
% 192.24/192.22 [6130]E(f46(a1,x61301,x61302),x61301)+~P1(f329(f329(f239(a1),x61301),f2(a1)))+~P1(f329(f329(f240(a1),x61302),x61301))
% 192.24/192.22 [6144]E(f48(x61441,x61442),f47(x61441,x61442))+~P1(f329(f329(f239(a1),f2(a1)),x61441))+~P1(f329(f329(f239(a1),f2(a1)),x61442))
% 192.24/192.22 [6154]E(f329(f329(f37(a1),x61541),x61542),f2(a1))+~P1(f329(f329(f239(a1),f2(a1)),x61541))+~P1(f329(f329(f240(a1),x61541),x61542))
% 192.24/192.22 [6166]E(f46(a909,f329(f108(a909),x61661),f329(f108(a909),x61662)),f329(f108(a909),x61661))+P1(f329(a196,f329(f108(a1),x61661)))+~P1(f329(a196,f329(f108(a1),x61662)))
% 192.24/192.22 [6168]E(f46(a1,x61681,x61682),x61681)+~P1(f329(f329(f239(a1),f2(a1)),x61681))+~P1(f329(f329(f240(a1),x61681),x61682))
% 192.24/192.22 [6169]E(x61691,x61692)+~P1(f329(f329(f240(a909),x61691),f329(a117,x61692)))+~P1(f329(f329(f239(a909),x61692),x61691))
% 192.24/192.22 [6183]~P120(x61831)+~P1(f329(f329(f240(x61831),x61832),f2(x61831)))+P1(f329(f329(f240(x61831),x61832),f329(f81(x61831),x61832)))
% 192.24/192.22 [6184]~P78(x61841)+~P1(f329(f329(f239(x61841),x61842),f2(x61841)))+P1(f329(f329(f239(x61841),x61842),f329(f81(x61841),x61842)))
% 192.24/192.22 [6194]~P11(x61941)+E(f329(f329(f65(x61941,x61941,f106(x61941)),f247(x61941)),x61942),f39(x61941,x61942))+~P1(f329(f62(x61941),x61942))
% 192.24/192.22 [6195]~P11(x61951)+E(f329(f329(f65(x61951,x61951,f115(x61951)),f191(x61951)),x61952),f38(x61951,x61952))+~P1(f329(f62(x61951),x61952))
% 192.24/192.22 [6212]~P126(x62121)+~P1(f329(f329(f240(a909),f2(a909)),x62122))+P1(f329(f329(f240(x62121),f2(x62121)),f329(f105(x62121),x62122)))
% 192.24/192.22 [6213]~P120(x62131)+~P1(f329(f329(f240(a1),f2(a1)),x62132))+P1(f329(f329(f240(x62131),f2(x62131)),f329(f107(x62131),x62132)))
% 192.24/192.22 [6214]~P120(x62141)+~P1(f329(f329(f239(a1),f2(a1)),x62142))+P1(f329(f329(f239(x62141),f2(x62141)),f329(f107(x62141),x62142)))
% 192.24/192.22 [6217]~P12(x62172)+~P12(x62171)+E(f329(f312(a909,a1,f105(a1)),f305(a909,f329(a109,x62171),f329(a109,x62172))),f305(a1,x62171,x62172))
% 192.24/192.22 [6223]P1(f329(x62231,x62232))+~P1(f329(f329(f239(a1),f2(a1)),x62232))+~P1(f329(x62231,f329(f105(a1),f344(x62231))))
% 192.24/192.22 [6253]E(f329(f329(f82(a909),f329(f108(a909),x62531)),f329(f108(a909),x62532)),f329(f108(a909),x62531))+P1(f329(f329(f240(a1),x62531),a85))+~P1(f329(f329(f240(a1),x62532),a85))
% 192.24/192.22 [6257]~P120(x62571)+P1(f329(f329(f240(x62571),f2(x62571)),f84(x62571,x62572)))+~P1(f329(f329(f240(x62571),f2(x62571)),x62572))
% 192.24/192.22 [6268]~P87(x62681)+~P1(f329(f329(f240(x62681),x62682),f2(x62681)))+P1(f329(f329(f240(x62681),f2(x62681)),f329(f81(x62681),x62682)))
% 192.24/192.22 [6269]~P87(x62691)+~P1(f329(f329(f239(x62691),x62692),f2(x62691)))+P1(f329(f329(f239(x62691),f2(x62691)),f329(f81(x62691),x62692)))
% 192.24/192.22 [6272]E(x62721,f247(f917(x62722,a904)))+~E(f329(f36(x62722),x62721),f329(f36(x62722),f247(f917(x62722,a904))))+~P1(f329(f62(x62722),f247(f917(x62722,a904))))
% 192.24/192.22 [6304]~P120(x63041)+P1(f329(f329(f240(x63041),x63042),f2(x63041)))+~P1(f329(f329(f240(x63041),x63042),f329(f81(x63041),x63042)))
% 192.24/192.22 [6305]~P78(x63051)+P1(f329(f329(f239(x63051),x63052),f2(x63051)))+~P1(f329(f329(f239(x63051),x63052),f329(f81(x63051),x63052)))
% 192.24/192.22 [6315]~P96(x63151)+P1(f329(f329(f331(x63151),f329(f108(x63151),x63152)),f189(x63151)))+~P1(f329(f329(f239(a1),a85),x63152))
% 192.24/192.22 [6344]E(x63441,f2(a909))+~P1(f329(f329(f240(a909),x63441),f329(a117,x63442)))+P1(f329(f329(f240(a909),f804(x63442,x63441)),x63442))
% 192.24/192.22 [6366]~P120(x63661)+~P1(f329(f329(f240(x63661),f2(x63661)),f84(x63661,x63662)))+P1(f329(f329(f240(x63661),f2(x63661)),x63662))
% 192.24/192.22 [6368]~E(f329(f108(a909),x63682),f329(f108(a909),x63681))+P1(f329(f329(f239(a1),f329(f108(a1),x63681)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x63682)))
% 192.24/192.22 [6397]E(f329(f256(a1,a1),f51(x63971,x63972)),f329(f329(f37(a1),x63971),x63972))+~P1(f329(f329(f240(a1),x63971),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x63972))
% 192.24/192.22 [6433]E(f329(f261(a1,a1),f51(x64331,x64332)),f46(a1,x64331,x64332))+~P1(f329(f329(f240(a1),x64331),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x64332))
% 192.24/192.22 [6436]~P126(x64362)+~P1(f329(f329(f240(x64362),f2(x64362)),f329(f105(x64362),x64361)))+P1(f329(f329(f240(a909),f2(a909)),x64361))
% 192.24/192.22 [6437]~P120(x64372)+~P1(f329(f329(f240(x64372),f2(x64372)),f329(f107(x64372),x64371)))+P1(f329(f329(f240(a1),f2(a1)),x64371))
% 192.24/192.22 [6438]~P120(x64382)+~P1(f329(f329(f239(x64382),f2(x64382)),f329(f107(x64382),x64381)))+P1(f329(f329(f239(a1),f2(a1)),x64381))
% 192.24/192.22 [6441]E(f329(f256(a1,a1),f48(x64411,x64412)),f329(f329(f37(a1),x64411),x64412))+~P1(f329(f329(f240(a1),f2(a1)),x64411))+~P1(f329(f329(f239(a1),f2(a1)),x64412))
% 192.24/192.22 [6456]E(f329(f261(a1,a1),f48(x64561,x64562)),f46(a1,x64561,x64562))+~P1(f329(f329(f240(a1),f2(a1)),x64561))+~P1(f329(f329(f239(a1),f2(a1)),x64562))
% 192.24/192.22 [6471]~P87(x64711)+P1(f329(f329(f240(x64711),x64712),f2(x64711)))+~P1(f329(f329(f240(x64711),f2(x64711)),f329(f81(x64711),x64712)))
% 192.24/192.22 [6472]~P87(x64721)+P1(f329(f329(f239(x64721),x64722),f2(x64721)))+~P1(f329(f329(f239(x64721),f2(x64721)),f329(f81(x64721),x64722)))
% 192.24/192.22 [6495]~P11(x64951)+~P47(x64951,x64951,x64952)+P1(f329(f329(f239(x64951),f101(x64951,x64952)),f329(x64952,f101(x64951,x64952))))
% 192.24/192.22 [6496]~P11(x64961)+~P47(x64961,x64961,x64962)+P1(f329(f329(f239(x64961),f100(x64961,x64962)),f329(x64962,f100(x64961,x64962))))
% 192.24/192.22 [6500]P1(f329(f50(x65001,x65002),f51(x65001,x65002)))+~P1(f329(f329(f240(a1),x65001),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x65002))
% 192.24/192.22 [6526]P1(f329(f50(x65261,x65262),f48(x65261,x65262)))+~P1(f329(f329(f240(a1),f2(a1)),x65262))+~P1(f329(f329(f239(a1),f2(a1)),x65261))
% 192.24/192.22 [6570]~P87(x65701)+P1(f329(f329(f240(x65701),f329(f81(x65701),x65702)),f2(x65701)))+~P1(f329(f329(f240(x65701),f2(x65701)),x65702))
% 192.24/192.22 [6571]~P87(x65711)+P1(f329(f329(f239(x65711),f329(f81(x65711),x65712)),f2(x65711)))+~P1(f329(f329(f239(x65711),f2(x65711)),x65712))
% 192.24/192.22 [6587]E(f329(f329(f23(a909),f329(a109,x65871)),f329(a109,x65872)),f329(a109,f198(x65871,x65872)))+~P1(f329(f329(f239(a1),f2(a1)),x65872))+~P1(f329(f329(f239(a1),f2(a1)),x65871))
% 192.24/192.22 [6604]P1(f329(f329(f239(a1),f2(a1)),f198(x66041,x66042)))+~P1(f329(f329(f239(a1),f2(a1)),x66042))+~P1(f329(f329(f239(a1),f2(a1)),x66041))
% 192.24/192.22 [6643]~P1(f329(x66431,x66432))+P1(f329(x66431,f2(a909)))+P1(f329(x66431,f329(f329(f82(a909),f861(x66432,x66431)),f80(a909))))
% 192.24/192.22 [6727]E(f329(f108(a909),x67271),f329(f108(a909),x67272))+~P1(f329(f329(f239(a1),f329(f108(a1),x67272)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x67271)))
% 192.24/192.22 [6737]~E(x67371,f2(a909))+~E(f703(x67372,x67371),f2(a909))+E(f329(f145(a909,a909,f82(a909),x67371),x67372),f2(a909))
% 192.24/192.22 [6761]~P1(f329(f62(x67611),f611(x67612,x67611)))+~P1(f329(f62(f917(x67611,a904)),x67612))+P1(f329(f62(x67611),f38(f917(x67611,a904),x67612)))
% 192.24/192.22 [6767]E(x67671,x67672)+P1(f329(f329(f240(a1),x67671),x67672))+~P1(f329(f329(f240(a1),x67671),f329(f329(f82(a1),x67672),f80(a1))))
% 192.24/192.22 [6769]P1(f329(f329(f240(a909),f329(a109,x67691)),f329(a109,x67692)))+~P1(f329(f329(f240(a1),f2(a1)),x67692))+~P1(f329(f329(f240(a1),x67691),x67692))
% 192.24/192.22 [6770]P1(f329(f329(f240(a909),f329(a109,x67701)),f329(a109,x67702)))+~P1(f329(f329(f239(a1),f2(a1)),x67701))+~P1(f329(f329(f240(a1),x67701),x67702))
% 192.24/192.22 [6771]P1(f329(f329(f239(a909),f329(a109,x67711)),f329(a109,x67712)))+~P1(f329(f329(f240(a1),f2(a1)),x67711))+~P1(f329(f329(f239(a1),x67711),x67712))
% 192.24/192.22 [6772]P1(f329(f329(f239(a909),f329(a109,x67721)),f329(a109,x67722)))+~P1(f329(f329(f239(a1),f2(a1)),x67722))+~P1(f329(f329(f239(a1),x67721),x67722))
% 192.24/192.22 [6784]E(f46(a909,f329(a109,x67841),f329(a109,x67842)),f329(a109,f46(a1,x67841,x67842)))+~P1(f329(f329(f239(a1),f2(a1)),x67842))+~P1(f329(f329(f239(a1),f2(a1)),x67841))
% 192.24/192.22 [6808]~P87(x68081)+~P1(f329(f329(f240(x68081),f329(f81(x68081),x68082)),f2(x68081)))+P1(f329(f329(f240(x68081),f2(x68081)),x68082))
% 192.24/192.22 [6809]~P87(x68091)+~P1(f329(f329(f239(x68091),f329(f81(x68091),x68092)),f2(x68091)))+P1(f329(f329(f239(x68091),f2(x68091)),x68092))
% 192.24/192.22 [6823]~P1(f329(f329(f240(a1),a85),x68232))+~P1(f329(f329(f240(a1),x68231),x68232))+P1(f329(f329(f240(a909),f329(f108(a909),x68231)),f329(f108(a909),x68232)))
% 192.24/192.22 [6912]~P1(f329(f329(f239(a1),f2(a1)),x69121))+P1(f329(f329(f240(a909),f329(a109,x69121)),x69122))+~P1(f329(f329(f240(a1),x69121),f329(f105(a1),x69122)))
% 192.24/192.22 [6917]P1(f329(x69171,x69172))+~P1(f329(x69171,f329(a20,f835(x69171,x69172))))+~P1(f329(f329(f331(a909),x69172),f247(f917(a909,a904))))
% 192.24/192.22 [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)))
% 192.24/192.22 [6942]~P1(f329(f329(f239(a1),f2(a1)),x69421))+~P1(f329(f329(f240(a909),f329(a109,x69421)),x69422))+P1(f329(f329(f240(a1),x69421),f329(f105(a1),x69422)))
% 192.24/192.22 [6978]~P1(f329(f329(f239(a909),f329(a109,x69781)),f329(a109,x69782)))+~P1(f329(f329(f240(a1),f2(a1)),x69781))+P1(f329(f329(f239(a1),x69781),x69782))
% 192.24/192.22 [6979]~P1(f329(f329(f239(a909),f329(a109,x69791)),f329(a109,x69792)))+~P1(f329(f329(f239(a1),f2(a1)),x69792))+P1(f329(f329(f239(a1),x69791),x69792))
% 192.24/192.22 [7005]P1(f329(f329(f239(a1),x70051),x70052))+~P1(f329(f329(f239(a909),f329(f108(a909),x70051)),f329(f108(a909),x70052)))+P1(f329(f329(f239(a1),x70051),a85))
% 192.24/192.22 [7033]P1(f329(f329(f239(a1),f2(a1)),f46(a1,x70331,x70332)))+~P1(f329(f329(f239(a1),f2(a1)),x70332))+~P1(f329(f329(f239(a1),f2(a1)),x70331))
% 192.24/192.22 [7129]P1(f329(f329(f240(a1),a85),x71291))+~P1(f329(f329(f240(a1),x71292),x71291))+~P1(f329(f329(f240(a909),f329(f108(a909),x71292)),f329(f108(a909),x71291)))
% 192.24/192.22 [7181]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x71811),x71812)),f46(a1,x71811,x71812)),f51(x71811,x71812))+~P1(f329(f329(f240(a1),x71811),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x71812))
% 192.24/192.22 [7201]E(f329(f329(f257(a1,a1),f329(f329(f37(a1),x72011),x72012)),f46(a1,x72011,x72012)),f48(x72011,x72012))+~P1(f329(f329(f239(a1),f2(a1)),x72012))+~P1(f329(f329(f239(a1),f2(a1)),x72011))
% 192.24/192.22 [7252]~P99(x72522)+E(x72521,f118(x72522))+E(f329(f145(x72522,x72522,f83(x72522),f329(f144(x72522),x72521)),f329(f174(x72522),x72521)),f329(f64(x72522,f83(x72522)),f329(f175(x72522),x72521)))
% 192.24/192.22 [7372]~E(x73721,f2(a909))+E(f329(f145(a909,a909,f82(a909),x73721),x73722),f2(a909))+P1(f329(f329(f331(a909),f703(x73722,x73721)),f329(f175(a909),x73722)))
% 192.24/192.22 [7423]~P1(f329(f329(f240(a1),x74232),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74231),x74232)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74231))
% 192.24/192.22 [7425]~P1(f329(f329(f240(a1),x74251),f2(a1)))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74251),x74252)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74252))
% 192.24/192.22 [7426]~P1(f329(f329(f240(a1),x74262),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x74261),x74262)),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),x74261))
% 192.24/192.22 [7427]~P1(f329(f329(f239(a1),x74271),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x74271),x74272)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x74272))
% 192.24/192.22 [7434]P1(f329(f329(f331(f917(x74341,a904)),f611(x74342,x74341)),x74342))+~P1(f329(f62(f917(x74341,a904)),x74342))+P1(f329(f62(x74341),f38(f917(x74341,a904),x74342)))
% 192.24/192.22 [7531]P31(x75311,x75311,x75312,f247(f917(x75311,a904)))+~E(f329(f312(x75311,x75311,x75312),f247(f917(x75311,a904))),f247(f917(x75311,a904)))+~P1(f329(f62(x75311),f247(f917(x75311,a904))))
% 192.24/192.22 [7655]~P31(x76551,x76551,x76552,f247(f917(x76551,a904)))+E(f329(f312(x76551,x76551,x76552),f247(f917(x76551,a904))),f247(f917(x76551,a904)))+~P1(f329(f62(x76551),f247(f917(x76551,a904))))
% 192.24/192.22 [7793]E(f329(f329(f37(a1),x77931),x77932),f329(f108(a1),a102))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x77931),x77932)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x77931))
% 192.24/192.22 [7851]~P1(f329(f329(f240(a1),x78512),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f37(a1),x78511),x78512)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x78511))
% 192.24/192.22 [7856]E(f329(f329(f82(a1),x78561),x78562),f46(a1,x78561,x78562))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),x78561),x78562)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x78561))
% 192.24/192.22 [7859]P1(f329(f329(f240(a1),x78591),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f37(a1),x78591),x78592)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x78592))
% 192.24/192.22 [7906]~P34(a903,x79061,f851(x79061))+P34(a903,x79061,f329(f329(f329(f93(a903),f329(a920,x79062)),f329(f236(a905),f329(a27,x79062))),f329(a923,x79062)))+~P1(f329(f329(f331(a907),x79062),a919))
% 192.24/192.22 [8574]~P112(x85741)+P19(x85741,x85742)+~P1(f329(f329(f239(x85741),f329(f329(f167(x85741),x85742),f731(x85742,x85741))),f329(f329(f167(x85741),x85742),f732(x85742,x85741))))
% 192.24/192.22 [8575]~P112(x85751)+P19(x85751,x85752)+~P1(f329(f329(f239(x85751),f329(f329(f167(x85751),x85752),f739(x85752,x85751))),f329(f329(f167(x85751),x85752),f743(x85752,x85751))))
% 192.24/192.22 [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)))
% 192.24/192.22 [5810]~P48(x58102)+~P48(x58101)+P48(f329(f329(f115(f917(a1,a904)),x58101),x58102))
% 192.24/192.22 [5811]~P48(x58112)+~P48(x58111)+P48(f329(f329(f106(f917(a1,a904)),x58111),x58112))
% 192.24/192.22 [5829]~P70(x58291)+~P96(x58291)+E(f329(f81(x58291),f329(f329(f292(x58291),f80(x58291)),x58292)),f329(f329(f292(x58291),f329(f108(x58291),a102)),x58292))
% 192.24/192.22 [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)))
% 192.24/192.22 [6084]~P112(x60841)+P19(x60841,x60842)+P1(f329(f329(f240(a909),f732(x60842,x60841)),f329(f192(f910(x60841)),x60842)))
% 192.24/192.22 [6085]~P112(x60851)+P19(x60851,x60852)+P1(f329(f329(f240(a909),f743(x60852,x60851)),f329(f192(f910(x60851)),x60852)))
% 192.24/192.22 [6247]~P96(x62471)+~E(f329(f108(x62471),x62472),f2(x62471))+P36(x62471,f329(f108(x62471),f329(f329(f82(a1),x62472),f329(f81(a1),a85))))
% 192.24/192.22 [6248]~P96(x62481)+~E(f329(f108(x62481),x62482),f2(x62481))+P36(x62481,f329(f108(x62481),f329(f329(f82(a1),a85),f329(f81(a1),x62482))))
% 192.24/192.22 [6250]E(f329(a52,f48(f329(f81(a1),x62501),f329(f81(a1),x62502))),f47(x62501,x62502))+P1(f329(f329(f240(a1),f2(a1)),x62502))+P1(f329(f329(f239(a1),f2(a1)),x62501))
% 192.24/192.22 [6374]~E(x63742,f2(a909))+~E(x63741,f2(a909))+P1(f329(f329(f239(a1),f329(f105(a1),x63741)),f329(f81(a1),f329(f105(a1),x63742))))
% 192.24/192.22 [6403]E(f329(f329(f82(a909),f329(f108(a909),x64031)),f329(f108(a909),x64032)),f329(f108(a909),f329(f329(f82(a1),x64031),x64032)))+P1(f329(f329(f240(a1),x64031),a85))+P1(f329(f329(f240(a1),x64032),a85))
% 192.24/192.22 [6535]~P78(x65351)+~P1(f329(f329(f240(x65351),f2(x65351)),x65352))+P1(f329(f329(f240(x65351),f329(f81(x65351),x65352)),x65352))
% 192.24/192.22 [6536]~P78(x65361)+~P1(f329(f329(f239(x65361),f2(x65361)),x65362))+P1(f329(f329(f239(x65361),f329(f81(x65361),x65362)),x65362))
% 192.24/192.22 [6713]E(f329(f329(f23(a909),f329(a109,x67131)),f329(a109,x67132)),f329(a109,f329(f329(f23(a1),x67131),x67132)))+~P1(f329(f329(f239(a1),f2(a1)),x67132))+~P1(f329(f329(f239(a1),x67132),x67131))
% 192.24/192.22 [6745]E(f329(a109,f46(a1,f329(f108(a1),x67451),f329(f108(a1),x67452))),f46(a909,f329(f108(a909),x67451),f329(f108(a909),x67452)))+P1(f329(a196,f329(f108(a1),x67451)))+P1(f329(a196,f329(f108(a1),x67452)))
% 192.24/192.22 [6762]~P78(x67621)+P1(f329(f329(f240(x67621),f2(x67621)),x67622))+~P1(f329(f329(f240(x67621),f329(f81(x67621),x67622)),x67622))
% 192.24/192.22 [6763]~P78(x67631)+P1(f329(f329(f239(x67631),f2(x67631)),x67632))+~P1(f329(f329(f239(x67631),f329(f81(x67631),x67632)),x67632))
% 192.24/192.22 [6775]~P78(x67751)+~P1(f329(f329(f240(x67751),f2(x67751)),x67752))+P1(f329(f329(f240(x67751),f2(x67751)),f329(f329(f82(x67751),x67752),x67752)))
% 192.24/192.22 [6777]~P78(x67771)+~P1(f329(f329(f239(x67771),f2(x67771)),x67772))+P1(f329(f329(f239(x67771),f2(x67771)),f329(f329(f82(x67771),x67772),x67772)))
% 192.24/192.22 [6789]E(f329(f329(f82(a909),f329(a109,x67891)),f329(a109,x67892)),f329(a109,f329(f329(f82(a1),x67891),x67892)))+~P1(f329(f329(f239(a1),f2(a1)),x67892))+~P1(f329(f329(f239(a1),f2(a1)),x67891))
% 192.24/192.22 [6801]E(x68011,f2(a909))+P1(f329(f329(f240(a909),f2(a909)),x68012))+~P1(f329(f329(f240(a909),f2(a909)),f329(f329(f249(a909),x68012),x68011)))
% 192.24/192.22 [6833]~P96(x68331)+E(f329(f108(x68331),x68332),f2(x68331))+~P36(x68331,f329(f108(x68331),f329(f329(f82(a1),a85),f329(f81(a1),x68332))))
% 192.24/192.22 [6834]~P96(x68341)+E(f329(f108(x68341),x68342),f2(x68341))+~P36(x68341,f329(f108(x68341),f329(f329(f82(a1),x68342),f329(f81(a1),a85))))
% 192.24/192.22 [6890]~P1(f329(f62(x68901),x68902))+~P1(f329(f62(x68901),f247(f917(x68901,a904))))+P1(f329(f62(x68901),f329(f81(f917(x68901,a904)),x68902)))
% 192.24/192.22 [6913]~P1(f329(f329(f240(a1),f2(a1)),x69132))+~P1(f329(f329(f239(a1),x69132),x69131))+P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x69131),x69132)))
% 192.24/192.22 [6914]~P1(f329(f329(f240(a1),x69142),f2(a1)))+~P1(f329(f329(f239(a1),x69141),f2(a1)))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x69141),x69142)))
% 192.24/192.22 [6950]~P1(f329(f329(f240(a909),f2(a909)),x69502))+~P1(f329(f329(f240(a909),f2(a909)),x69501))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f83(a909),x69501),x69502)))
% 192.24/192.22 [6951]~P1(f329(f329(f239(a1),f2(a1)),x69512))+~P1(f329(f329(f239(a1),f2(a1)),x69511))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x69511),x69512)))
% 192.24/192.22 [6952]~P1(f329(f329(f239(a1),f2(a1)),x69522))+~P1(f329(f329(f239(a1),f2(a1)),x69521))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f83(a1),x69521),x69522)))
% 192.24/192.22 [6953]~P1(f329(f329(f240(a1),f2(a1)),x69532))+~P1(f329(f329(f239(a1),f2(a1)),x69531))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x69531),x69532)))
% 192.24/192.22 [6954]~P1(f329(f329(f239(a1),f2(a1)),x69542))+~P1(f329(f329(f239(a1),f2(a1)),x69541))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x69541),x69542)))
% 192.24/192.22 [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))
% 192.24/192.22 [7074]P1(f329(f329(f240(a909),f2(a909)),x70741))+P1(f329(f329(f240(a909),f2(a909)),x70742))+~P1(f329(f329(f240(a909),f2(a909)),f329(f329(f82(a909),x70742),x70741)))
% 192.24/192.22 [7078]~P78(x70781)+P1(f329(f329(f240(x70781),f2(x70781)),x70782))+~P1(f329(f329(f240(x70781),f2(x70781)),f329(f329(f82(x70781),x70782),x70782)))
% 192.24/192.22 [7079]~P78(x70791)+P1(f329(f329(f239(x70791),f2(x70791)),x70792))+~P1(f329(f329(f239(x70791),f2(x70791)),f329(f329(f82(x70791),x70792),x70792)))
% 192.24/192.22 [7130]~P1(f329(f62(x71301),x71302))+P1(f329(f62(x71301),f247(f917(x71301,a904))))+~P1(f329(f62(x71301),f329(f81(f917(x71301,a904)),x71302)))
% 192.24/192.22 [7193]P1(f329(f329(f239(a1),x71931),f2(a1)))+~P1(f329(f329(f240(a1),x71932),f2(a1)))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x71931),x71932)))
% 192.24/192.22 [7199]~P1(f329(f329(f240(a1),f2(a1)),x71991))+P1(f329(f329(f239(a1),x71991),x71992))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x71992),x71991)))
% 192.24/192.22 [7200]~P1(f329(f329(f239(a1),f2(a1)),x72002))+P1(f329(f329(f239(a1),x72001),x72002))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x72002),x72001)))
% 192.24/192.22 [7229]P1(f329(f329(f240(a1),f2(a1)),x72291))+~P1(f329(f329(f239(a1),f2(a1)),x72292))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f37(a1),x72292),x72291)))
% 192.24/192.22 [7230]P1(f329(f329(f239(a1),f2(a1)),x72301))+~P1(f329(f329(f240(a1),f2(a1)),x72302))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f37(a1),x72301),x72302)))
% 192.24/192.22 [7686]~P1(f329(f62(x76862),f247(f917(x76862,a904))))+~P1(f329(f62(x76861),f247(f917(x76861,a904))))+P1(f329(f62(f915(x76861,x76862)),f247(f917(f915(x76861,x76862),a904))))
% 192.24/192.22 [7687]~P1(f329(f62(x76872),f247(f917(x76872,a904))))+~P1(f329(f62(x76871),f247(f917(x76871,a904))))+P1(f329(f62(f916(x76871,x76872)),f247(f917(f916(x76871,x76872),a904))))
% 192.24/192.22 [7758]~P1(f329(f329(f240(a909),f329(a117,f2(a909))),x77581))+~P1(f329(f329(f240(a909),f329(a117,f2(a909))),x77582))+P1(f329(f329(f240(a909),x77581),f329(f329(f83(a909),x77582),x77581)))
% 192.24/192.22 [7759]~P1(f329(f329(f240(a909),f329(a117,f2(a909))),x77591))+~P1(f329(f329(f240(a909),f329(a117,f2(a909))),x77592))+P1(f329(f329(f240(a909),x77591),f329(f329(f83(a909),x77591),x77592)))
% 192.24/192.22 [7792]E(f329(f36(x77921),f247(f917(x77921,a904))),f329(a117,f2(a909)))+P1(f329(f62(x77922),f247(f917(x77922,a904))))+~P1(f329(f62(f917(x77922,x77921)),f247(f917(f917(x77922,x77921),a904))))
% 192.24/192.22 [7923]~P1(f329(f329(f240(a909),f329(a117,f2(a909))),x79232))+~P1(f329(f329(f240(a909),f329(a117,f2(a909))),x79231))+P1(f329(f329(f240(a909),f329(a117,f2(a909))),f329(f329(f83(a909),x79231),x79232)))
% 192.24/192.22 [7924]~P1(f329(f329(f239(a909),f329(a117,f2(a909))),x79241))+~P1(f329(f329(f239(a909),f329(a117,f2(a909))),x79242))+P1(f329(f329(f239(a909),f329(a117,f2(a909))),f329(f329(f83(a909),x79241),x79242)))
% 192.24/192.22 [8279]~P113(x82791)+P47(a909,x82791,x82792)+~P1(f329(f329(f239(x82791),f329(x82792,f885(x82792,x82791))),f329(x82792,f329(a117,f885(x82792,x82791)))))
% 192.24/192.22 [8629]E(x86291,f118(x86292))+~P1(f329(f140(x86292),x86291))+E(f180(x86292,f329(f329(f8(a904,a904,x86292),a324),f329(f329(f7(x86292,x86292,a904),a326),f147(x86292,x86291))),x86291),f119(x86292,x86291))
% 192.24/192.22 [8726]~P48(x87262)+~P48(x87261)+E(f329(f312(a909,a1,f105(a1)),f329(f329(f115(f917(a909,a904)),f329(f312(a1,a909,a109),x87261)),f329(f312(a1,a909,a109),x87262))),f329(f329(f115(f917(a1,a904)),x87261),x87262))
% 192.24/192.22 [8727]~P48(x87272)+~P48(x87271)+E(f329(f312(a909,a1,f105(a1)),f329(f329(f106(f917(a909,a904)),f329(f312(a1,a909,a109),x87271)),f329(f312(a1,a909,a109),x87272))),f329(f329(f106(f917(a1,a904)),x87271),x87272))
% 192.24/192.22 [9387]~P96(x93871)+~E(f329(f108(x93871),x93872),f80(x93871))+P36(x93871,f329(f108(x93871),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x93872))))
% 192.24/192.22 [9629]~P96(x96291)+E(f329(f108(x96291),x96292),f80(x96291))+~P36(x96291,f329(f108(x96291),f329(f329(f82(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),f329(f81(a1),x96292))))
% 192.24/192.22 [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(f916(a1,a1)),f329(f329(a326,f84(a1,x103681)),f84(a1,x103682))),f54(x103681,x103682)),f329(f329(f262(a1,a1,f916(a1,a1)),f329(f329(f18(a1,f917(a1,f916(a1,a1)),f917(a1,f916(a1,a1))),f329(f329(f8(f917(a1,f917(f916(a1,a1),f916(a1,a1))),f917(f917(a1,f916(a1,a1)),f917(a1,f916(a1,a1))),a1),f18(a1,f916(a1,a1),f916(a1,a1))),f329(f329(f8(f916(a1,a1),f917(a1,f917(f916(a1,a1),f916(a1,a1))),a1),f329(f7(a1,f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),f329(f329(f8(a904,f917(f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),a1),f99(f916(a1,a1))),f329(f329(f7(a1,a1,a904),a326),f2(a1))))),f329(f329(f7(a1,a1,f916(a1,a1)),f329(f329(f8(a1,f917(a1,f916(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f917(a1,a1),f917(a1,f916(a1,a1))),f329(f329(f8(f917(a1,f916(a1,a1)),f917(f917(a1,a1),f917(a1,f916(a1,a1))),a1),f8(a1,f916(a1,a1),a1)),f329(f329(f8(a1,f917(a1,f916(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f917(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103682))))),f54(x103681,x103682)))),f47(x103681,x103682))
% 192.24/192.22 [10369]E(x103691,f2(a1))+E(x103692,f2(a1))+E(f329(f263(a1,a1,a1,a1,f33(a1),f329(f83(a1),f84(a1,x103692))),f329(f329(f329(f99(f916(a1,a1)),f329(f329(a328,f329(f329(a327,f329(f329(f240(a1),f2(a1)),x103692)),f329(f329(f239(a1),f2(a1)),x103691))),f329(f329(a327,f329(f329(f240(a1),x103692),f2(a1))),f329(f329(f240(a1),x103691),f2(a1))))),f54(x103691,x103692)),f329(f329(f262(a1,a1,f916(a1,a1)),f329(f329(f18(a1,f917(a1,f916(a1,a1)),f917(a1,f916(a1,a1))),f329(f329(f8(f917(a1,f917(f916(a1,a1),f916(a1,a1))),f917(f917(a1,f916(a1,a1)),f917(a1,f916(a1,a1))),a1),f18(a1,f916(a1,a1),f916(a1,a1))),f329(f329(f8(f916(a1,a1),f917(a1,f917(f916(a1,a1),f916(a1,a1))),a1),f329(f7(a1,f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),f329(f329(f8(a904,f917(f916(a1,a1),f917(f916(a1,a1),f916(a1,a1))),a1),f99(f916(a1,a1))),f329(f329(f7(a1,a1,a904),a326),f2(a1))))),f329(f329(f7(a1,a1,f916(a1,a1)),f329(f329(f8(a1,f917(a1,f916(a1,a1)),a1),f257(a1,a1)),f81(a1))),f2(a1))))),f329(f329(f7(a1,f917(a1,a1),f917(a1,f916(a1,a1))),f329(f329(f8(f917(a1,f916(a1,a1)),f917(f917(a1,a1),f917(a1,f916(a1,a1))),a1),f8(a1,f916(a1,a1),a1)),f329(f329(f8(a1,f917(a1,f916(a1,a1)),a1),f257(a1,a1)),f329(f329(f7(a1,a1,a1),f329(f329(f8(a1,f917(a1,a1),a1),f23(a1)),f81(a1))),f80(a1))))),f329(f23(a1),f329(f77(a1),x103692))))),f54(x103691,x103692)))),f47(x103691,x103692))
% 192.24/192.22 [5818]~P120(x58181)+~P96(x58181)+E(f329(f77(x58181),f329(f329(f249(x58181),f329(f108(x58181),a102)),x58182)),f80(x58181))
% 192.24/192.22 [6316]~P129(x63161)+~P1(f329(f329(f240(a1),x63162),f2(a1)))+E(f329(f81(x63161),f329(f105(x63161),f329(a109,f329(f81(a1),x63162)))),f329(f107(x63161),x63162))
% 192.24/192.22 [6519]P1(f329(f329(f239(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(f240(a104),x65192),x65191))
% 192.24/192.22 [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))
% 192.24/192.22 [7231]~P1(f329(f329(f240(a1),x72311),f2(a1)))+~P1(f329(f329(f239(a1),x72312),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f48(f329(f81(a1),x72311),f329(f81(a1),x72312)))),f329(f329(f37(a1),x72311),x72312))
% 192.24/192.22 [7248]~P1(f329(f329(f240(a1),x72481),f2(a1)))+~P1(f329(f329(f239(a1),x72482),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f48(f329(f81(a1),x72481),f329(f81(a1),x72482)))),f46(a1,x72481,x72482))
% 192.24/192.22 [7254]~P1(f329(f329(f240(a1),x72542),f2(a1)))+E(f329(f256(a1,a1),f329(a52,f51(f329(f81(a1),x72541),f329(f81(a1),x72542)))),f329(f329(f37(a1),x72541),x72542))+~P1(f329(f329(f240(a1),f2(a1)),x72541))
% 192.24/192.22 [7272]~P1(f329(f329(f240(a1),x72722),f2(a1)))+E(f329(f261(a1,a1),f329(a52,f51(f329(f81(a1),x72721),f329(f81(a1),x72722)))),f46(a1,x72721,x72722))+~P1(f329(f329(f240(a1),f2(a1)),x72721))
% 192.24/192.22 [7325]E(f329(f329(f37(a1),f329(f329(f249(a1),x73251),x73252)),x73251),f329(f329(f249(a1),x73251),f329(f329(f23(a909),x73252),f329(a117,f2(a909)))))+~P1(f329(f329(f240(a909),f2(a909)),x73252))+~P1(f329(f329(f240(a1),f2(a1)),x73251))
% 192.24/192.22 [7431]~P1(f329(f329(f240(a909),f2(a909)),x74311))+~P1(f329(f329(f240(a909),f2(a909)),x74312))+P1(f329(f329(f240(a909),f329(f329(f23(a909),x74311),x74312)),x74311))
% 192.24/192.22 [7432]~P1(f329(f329(f240(a909),f2(a909)),x74321))+~P1(f329(f329(f240(a909),f80(a909)),x74322))+P1(f329(f329(f240(a909),f329(f329(f37(a909),x74321),x74322)),x74321))
% 192.24/192.22 [7433]~P1(f329(f329(f240(a1),f2(a1)),x74331))+~P1(f329(f329(f240(a1),f80(a1)),x74332))+P1(f329(f329(f240(a1),f329(f329(f37(a1),x74331),x74332)),x74331))
% 192.24/192.22 [7582]E(x75821,f2(a909))+~E(x75822,f2(a1))+~P1(f329(f329(f240(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x75822)),x75821)))
% 192.24/192.22 [7957]~P1(f329(x79571,x79572))+P1(f329(x79571,f2(a909)))+E(f329(a117,f243(a909,f329(f329(f8(a909,a904,a909),x79571),a117))),f243(a909,x79571))
% 192.24/192.22 [8006]~E(x80062,f118(f910(x80061)))+E(f329(f192(f910(f910(x80061))),f182(x80061,x80062)),f2(a909))+~P19(a909,f329(f171(a909),f329(f329(f157(f910(x80061),a909),f192(f910(x80061))),x80062)))
% 192.24/192.22 [8266]P1(f329(x82661,x82662))+~P1(f329(x82661,f329(a112,f557(x82661,x82662))))+~P1(f329(f329(f331(f917(f916(a909,a909),a904)),x82662),a103))
% 192.24/192.22 [8283]E(x82831,f118(f910(x82832)))+E(f329(f192(f910(x82832)),f329(f329(f167(f910(x82832)),x82831),f2(a909))),f329(f192(f910(f910(x82832))),f182(x82832,x82831)))+~P19(a909,f329(f171(a909),f329(f329(f157(f910(x82832),a909),f192(f910(x82832))),x82831)))
% 192.24/192.22 [8426]~P45(x84261,x84262)+~P46(x84261,x84262)+P45(x84261,f329(f329(f23(f917(f916(x84261,x84261),a904)),x84262),f309(x84261,f191(f917(f916(x84261,x84261),a904)))))
% 192.24/192.22 [8993]~P1(f329(f62(x89931),f329(f267(x89931),x89932)))+~P1(f329(f62(x89931),f247(f917(x89931,a904))))+P1(f329(f62(x89931),f329(f267(x89931),f329(f329(f8(a904,a904,x89931),a324),x89932))))
% 192.24/192.22 [9062]E(f329(f329(f257(a909,a909),f329(a117,f329(f329(f37(a909),f329(f329(f23(a909),x90621),x90622)),x90622))),f46(a909,f329(f329(f23(a909),x90621),x90622),x90622)),f87(f916(a909,a909),f49(x90621,x90622)))+~P1(f329(f329(f240(a909),f2(a909)),x90622))+~P1(f329(f329(f239(a909),x90622),x90621))
% 192.24/192.22 [9354]~P1(f329(f62(x93541),f329(f267(x93541),x93542)))+P1(f329(f62(x93541),f247(f917(x93541,a904))))+~P1(f329(f62(x93541),f329(f267(x93541),f329(f329(f8(a904,a904,x93541),a324),x93542))))
% 192.24/192.22 [10068]P33(x100681,x100682)+~P44(x100681,f329(f256(f917(f916(x100681,x100681),a904),f917(f916(x100681,x100681),a904)),x100682))+~P1(f329(f329(f239(f917(f916(x100681,x100681),a904)),f329(f329(f291(x100681,x100681,x100681),f329(f256(f917(f916(x100681,x100681),a904),f917(f916(x100681,x100681),a904)),x100682)),f329(f261(f917(f916(x100681,x100681),a904),f917(f916(x100681,x100681),a904)),x100682))),f329(f256(f917(f916(x100681,x100681),a904),f917(f916(x100681,x100681),a904)),x100682)))
% 192.24/192.22 [7355]~P1(f329(f329(f240(a909),f2(a909)),x73552))+P1(f329(f329(f240(a909),x73551),x73552))+E(f329(a117,f329(f329(f37(a909),f329(f329(f23(a909),x73551),x73552)),x73552)),f329(f329(f37(a909),x73551),x73552))
% 192.24/192.22 [7500]~P1(f329(f329(f240(a909),f2(a909)),x75002))+~P1(f329(f329(f239(a909),x75002),x75001))+E(f329(a117,f329(f329(f37(a909),f329(f329(f23(a909),x75001),x75002)),x75002)),f329(f329(f37(a909),x75001),x75002))
% 192.24/192.22 [8489]~P96(x84891)+~P95(x84891)+~P36(x84891,f329(f108(x84891),f329(f329(f23(a1),f329(f329(f82(a1),x84892),x84892)),a102)))
% 192.24/192.22 [9254]E(x92541,f2(a909))+E(f329(f329(f262(a909,a909,f916(a909,a909)),f329(f329(f8(a909,f917(a909,f916(a909,a909)),a909),f257(a909,a909)),a117)),f87(f916(a909,a909),f49(f329(f329(f23(a909),x92542),x92541),x92541))),f87(f916(a909,a909),f49(x92542,x92541)))+P1(f329(f329(f240(a909),x92542),x92541))
% 192.24/192.22 [9439]~P45(x94391,x94392)+~P60(x94391,x94392)+P1(f329(f329(f239(f917(f916(x94391,x94391),a904)),f329(f329(f291(x94391,x94391,x94391),f329(f289(x94391,x94391),x94392)),x94392)),x94392))
% 192.24/192.22 [9691]P1(f329(x96912,f662(x96912,x96911)))+P1(f329(x96911,f662(x96912,x96911)))+E(f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x96911)),f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x96912)))
% 192.24/192.22 [9695]~P1(f329(x96952,f662(x96952,x96951)))+~P1(f329(x96951,f662(x96952,x96951)))+E(f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x96951)),f329(f267(a1),f329(f329(f18(a1,a904,a904),f329(f329(f8(a904,f917(a904,a904),a1),a327),f329(f239(a1),f2(a1)))),x96952)))
% 192.24/192.22 [7715]~P71(x77151)+~P96(x77151)+E(f329(f329(f292(x77151),x77152),f329(f108(x77151),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102))),x77152)
% 192.24/192.22 [9386]~P96(x93861)+~E(f329(f108(x93861),x93862),f80(x93861))+P36(x93861,f329(f108(x93861),f329(f329(f82(a1),x93862),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 192.24/192.22 [9568]~P144(x95681)+~E(x95682,f2(x95681))+E(f329(f329(f249(x95681),x95682),f329(f108(a909),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(x95681))
% 192.24/192.22 [9569]~P144(x95691)+~E(x95692,f80(x95691))+E(f329(f329(f249(x95691),x95692),f329(f108(a909),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(x95691))
% 192.24/192.22 [9584]~P144(x95841)+~E(x95842,f329(f81(x95841),f80(x95841)))+E(f329(f329(f249(x95841),x95842),f329(f108(a909),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(x95841))
% 192.24/192.22 [9630]~P96(x96301)+E(f329(f108(x96301),x96302),f80(x96301))+~P36(x96301,f329(f108(x96301),f329(f329(f82(a1),x96302),f329(f81(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))))
% 192.24/192.22 [10010]~P120(x100102)+E(x100101,f2(x100102))+P1(f329(f329(f240(x100102),f2(x100102)),f329(f329(f249(x100102),x100101),f329(f108(a909),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))))))
% 192.24/192.22 [10067]~P120(x100672)+~E(x100671,f2(x100672))+~P1(f329(f329(f240(x100672),f2(x100672)),f329(f329(f249(x100672),x100671),f329(f108(a909),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))))))
% 192.24/192.22 [10092]P1(f329(f329(f239(a1),x100921),f2(a1)))+P1(f329(f329(f240(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))
% 192.24/192.22 [10093]~P1(f329(f329(f240(a1),f2(a1)),x100931))+P1(f329(f329(f240(a1),x100932),x100931))+E(f329(f44(x100931),f48(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))),f48(x100932,x100931))
% 192.24/192.22 [10094]P1(f329(f329(f239(a1),x100941),f2(a1)))+P1(f329(f329(f239(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))
% 192.24/192.22 [10095]~P1(f329(f329(f240(a1),f2(a1)),x100951))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),x100952),x100951)))+E(f329(f44(x100951),f51(x100952,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)))),x100951))),f51(x100952,x100951))
% 192.24/192.22 [10096]~P109(x100961)+~P1(f329(f329(f239(a1),f2(a1)),x100962))+E(f329(f105(x100961),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)))),x100962))),f329(f329(f82(x100961),f329(f105(x100961),f329(a109,x100962))),f329(f105(x100961),f329(a109,x100962))))
% 192.24/192.22 [10338]P34(a903,x103381,f329(f329(f329(f93(a903),f329(a920,x103382)),f329(f236(a905),f329(a27,x103382))),f329(a923,x103382)))+~P1(f329(f329(f331(a907),x103382),a919))+P1(f329(f329(f331(f908(a903)),f851(x103381)),f329(f329(f115(f917(f908(a903),a904)),a921),f329(f312(a907,f908(a903),f329(f329(f18(a907,f917(a903,f917(a906,a904)),f908(a903)),f329(f329(f18(a907,a905,f917(f917(a903,f917(a906,a904)),f908(a903))),f329(f329(f8(f917(a903,f917(a906,a904)),f917(a905,f917(f917(a903,f917(a906,a904)),f908(a903))),a907),f93(a903)),a920)),a26)),a923)),a919))))
% 192.24/192.22 [5149]~P148(x51491,x51492,x51493)+~E(x51493,f2(a1))+P1(f329(x51491,x51492))
% 192.24/192.22 [5278]~P112(x52781)+~P19(x52781,x52783)+P19(x52781,f173(x52781,x52782,x52783))
% 192.24/192.22 [5279]~P112(x52791)+~P19(x52791,x52793)+P19(x52791,f180(x52791,x52792,x52793))
% 192.24/192.22 [4842]~P79(x48422)+~E(x48423,f329(f81(x48422),x48421))+E(x48421,f329(f81(x48422),x48423))
% 192.24/192.22 [4844]~P79(x48441)+~E(f329(f81(x48441),x48443),x48442)+E(f329(f81(x48441),x48442),x48443)
% 192.24/192.22 [4923]~P112(x49233)+E(x49231,x49232)+~E(f329(f285(x49233),x49231),f329(f285(x49233),x49232))
% 192.24/192.22 [4924]~P106(x49243)+E(x49241,x49242)+~E(f329(f105(x49243),x49241),f329(f105(x49243),x49242))
% 192.24/192.22 [4925]~P112(x49253)+E(x49251,x49252)+~E(f329(f303(x49253),x49251),f329(f303(x49253),x49252))
% 192.24/192.22 [4926]~P112(x49263)+E(x49261,x49262)+~E(f329(f286(x49263),x49261),f329(f286(x49263),x49262))
% 192.24/192.22 [4927]~P112(x49273)+E(x49271,x49272)+~E(f329(f306(x49273),x49271),f329(f306(x49273),x49272))
% 192.24/192.22 [4928]~P79(x49283)+E(x49281,x49282)+~E(f329(f81(x49283),x49281),f329(f81(x49283),x49282))
% 192.24/192.22 [4929]~P98(x49293)+E(x49291,x49292)+~E(f329(f81(x49293),x49291),f329(f81(x49293),x49292))
% 192.24/192.22 [4930]~P95(x49303)+E(x49301,x49302)+~E(f329(f107(x49303),x49301),f329(f107(x49303),x49302))
% 192.24/192.22 [5032]~P69(x50321)+~P1(f329(x50322,x50323))+P1(f329(f57(x50321),x50322))
% 192.24/192.22 [5069]~P69(x50693)+P1(f329(x50691,x50692))+~P1(f329(f58(x50693),x50691))
% 192.24/192.22 [5168]~P149(x51681,x51683,x51682)+~E(x51682,f2(a1))+P1(f329(x51681,f2(a1)))
% 192.24/192.22 [5204]~P110(x52042)+~P1(f329(x52041,x52043))+P1(f329(x52041,f243(x52042,x52041)))
% 192.24/192.22 [5211]~E(x52111,f2(a909))+E(f761(x52111,x52112,x52113),f191(f917(x52113,a904)))+~E(f329(f36(x52113),x52112),f329(a117,x52111))
% 192.24/192.22 [5361]~E(x53612,f2(a909))+E(f329(f256(a909,a909),x53611),f2(a909))+~P1(f329(f49(x53613,x53612),x53611))
% 192.24/192.22 [5405]P1(f329(x54051,x54052))+~E(x54053,f329(f105(a1),x54052))+~P1(f329(x54051,f329(a109,x54053)))
% 192.24/192.22 [5881]~E(x58813,f2(a909))+~P1(f329(x58811,x58812))+P1(f329(x58811,f46(a909,x58812,x58813)))
% 192.24/192.22 [5939]~P110(x59391)+~P1(f329(x59392,x59393))+~P1(f329(f329(f240(x59391),x59393),f243(x59391,x59392)))
% 192.24/192.22 [6115]~P107(x61152)+~P107(x61151)+E(f134(x61151,x61152,f135(x61151,x61153),f135(x61152,x61153)),f135(f916(x61151,x61152),x61153))
% 192.24/192.22 [6297]~E(x62973,f2(a909))+P1(f329(x62971,x62972))+~P1(f329(x62971,f46(a909,x62972,x62973)))
% 192.24/192.22 [6309]~P11(x63091)+~P1(f329(f329(f239(x63091),x63092),f329(x63093,x63092)))+P1(f329(f329(f239(x63091),x63092),f101(x63091,x63093)))
% 192.24/192.22 [6975]E(x69751,f2(a909))+~P1(f329(x69752,f418(x69751,x69753,x69752)))+P1(f329(x69752,f46(a909,x69753,x69751)))
% 192.24/192.22 [7084]~P11(x70841)+~P1(f329(f329(f239(x70841),x70842),f635(x70843,x70842,x70841)))+P1(f329(f329(f239(x70841),x70842),f39(x70841,x70843)))
% 192.24/192.22 [7086]~P1(f329(x70861,x70862))+~P1(f329(x70861,f418(x70863,x70862,x70861)))+P1(f329(x70861,f46(a909,x70862,x70863)))
% 192.24/192.22 [7187]E(x71871,f118(x71872))+E(f329(f329(f154(x71872),f712(x71873,x71871,x71872)),f716(x71873,x71871,x71872)),x71871)+~P1(f329(f329(f331(f910(x71872)),x71871),f164(x71872,x71873)))
% 192.24/192.22 [7217]~P129(x72171)+~P1(f329(f329(f331(x72171),x72172),f114(x72171)))+P1(f329(f329(f331(x72171),f329(f329(f249(x72171),x72172),x72173)),f114(x72171)))
% 192.24/192.22 [7550]P44(x75501,x75502)+~P1(f329(f329(f331(x75501),x75503),f610(x75502,x75501)))+P1(f329(f329(f331(x75501),f661(x75502,x75501,x75503)),f610(x75502,x75501)))
% 192.24/192.22 [7820]E(x78201,f118(x78202))+~P1(f329(f329(f331(f910(x78202)),x78201),f164(x78202,x78203)))+P1(f329(f329(f331(f910(x78202)),f716(x78203,x78201,x78202)),f164(x78202,x78203)))
% 192.24/192.22 [7873]E(x78731,f2(a909))+E(f329(f329(f82(a909),f329(f329(f83(a909),x78731),f419(x78731,x78732,x78733))),f418(x78731,x78732,x78733)),x78732)+P1(f329(x78733,f46(a909,x78732,x78731)))
% 192.24/192.22 [7917]~P1(f329(x79173,x79172))+E(f329(f329(f82(a909),f329(f329(f83(a909),x79171),f419(x79171,x79172,x79173))),f418(x79171,x79172,x79173)),x79172)+P1(f329(x79173,f46(a909,x79172,x79171)))
% 192.24/192.22 [8063]P1(f329(f329(f240(a1),x80631),f407(x80632,x80633,x80631)))+P1(f329(f329(x80633,f329(f329(f37(a1),x80632),x80631)),f46(a1,x80632,x80631)))+~P1(f329(f329(f240(a1),x80631),f2(a1)))
% 192.24/192.22 [8339]P1(f329(f329(x83392,f329(f329(f37(a1),x83391),x83393)),f46(a1,x83391,x83393)))+~P1(f329(f329(f240(a1),x83393),f2(a1)))+P1(f329(f329(f239(a1),f407(x83391,x83392,x83393)),f2(a1)))
% 192.24/192.22 [8524]E(f329(f329(f82(a1),f329(f329(f83(a1),x85241),f411(x85242,x85243,x85241))),f407(x85242,x85243,x85241)),x85242)+P1(f329(f329(x85243,f329(f329(f37(a1),x85242),x85241)),f46(a1,x85242,x85241)))+~P1(f329(f329(f240(a1),x85241),f2(a1)))
% 192.24/192.22 [8771]~P1(f329(f329(x87711,f411(x87712,x87711,x87713)),f407(x87712,x87711,x87713)))+P1(f329(f329(x87711,f329(f329(f37(a1),x87712),x87713)),f46(a1,x87712,x87713)))+~P1(f329(f329(f240(a1),x87713),f2(a1)))
% 192.24/192.22 [9006]~P112(x90061)+~P19(x90061,x90063)+P19(x90061,f152(x90061,x90061,f5(x90061),x90062,x90063))
% 192.24/192.22 [9515]~P128(x95152)+E(x95151,f2(x95152))+~P1(f329(f329(f239(x95152),f329(f329(f82(x95152),f329(f329(f83(x95152),x95153),x95153)),f329(f329(f83(x95152),x95151),x95151))),f2(x95152)))
% 192.24/192.22 [9516]~P128(x95162)+E(x95161,f2(x95162))+~P1(f329(f329(f239(x95162),f329(f329(f82(x95162),f329(f329(f83(x95162),x95161),x95161)),f329(f329(f83(x95162),x95163),x95163))),f2(x95162)))
% 192.24/192.22 [10301]~P120(x103011)+~P1(f329(f329(f240(x103011),x103012),f2(x103011)))+P1(f329(f329(f240(x103011),f329(f329(f249(x103011),x103012),f329(a117,f329(f329(f83(a909),f329(f108(a909),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)))),x103013)))),f2(x103011)))
% 192.24/192.22 [10310]~P120(x103102)+E(x103101,f2(x103102))+~P1(f329(f329(f239(x103102),f329(f329(f82(x103102),f329(f329(f249(x103102),x103103),f329(f108(a909),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),x103101),f329(f108(a909),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)))
% 192.24/192.22 [10311]~P120(x103112)+E(x103111,f2(x103112))+~P1(f329(f329(f239(x103112),f329(f329(f82(x103112),f329(f329(f249(x103112),x103111),f329(f108(a909),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(x103112),x103113),f329(f108(a909),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(x103112)))
% 192.24/192.22 [4878]~E(x48782,x48783)+~P74(x48781)+E(f329(f329(f23(x48781),x48782),x48783),f2(x48781))
% 192.24/192.22 [4879]~E(x48792,x48793)+~P79(x48791)+E(f329(f329(f23(x48791),x48792),x48793),f2(x48791))
% 192.24/192.22 [4892]~P146(x48921)+~E(x48923,f2(x48921))+E(f329(f329(f82(x48921),x48922),x48923),x48922)
% 192.24/192.22 [4910]~P143(x49101)+~E(x49103,f2(x49101))+E(f329(f329(f83(x49101),x49102),x49103),f2(x49101))
% 192.24/192.22 [4911]~P143(x49111)+~E(x49112,f2(x49111))+E(f329(f329(f83(x49111),x49112),x49113),f2(x49111))
% 192.24/192.22 [4932]~E(x49323,f118(x49321))+~E(x49322,f118(x49321))+E(f329(f329(f137(x49321),x49322),x49323),f118(x49321))
% 192.24/192.22 [5022]~P146(x50222)+E(x50221,f2(x50222))+~E(f329(f329(f82(x50222),x50223),x50221),x50223)
% 192.24/192.22 [5023]~P79(x50231)+~E(x50232,f329(f81(x50231),x50233))+E(f329(f329(f82(x50231),x50232),x50233),f2(x50231))
% 192.24/192.22 [5030]E(x50301,f118(x50302))+E(x50303,f2(a909))+~E(f329(f329(f178(x50302),x50303),x50301),f118(x50302))
% 192.24/192.22 [5036]~P74(x50363)+E(x50361,x50362)+~E(f329(f329(f23(x50363),x50361),x50362),f2(x50363))
% 192.24/192.22 [5037]~P79(x50373)+E(x50371,x50372)+~E(f329(f329(f23(x50373),x50371),x50372),f2(x50373))
% 192.24/192.22 [5051]~P144(x50512)+E(x50511,f2(x50512))+~E(f329(f329(f249(x50512),x50511),x50513),f2(x50512))
% 192.24/192.22 [5052]~P3(x50522)+E(x50521,f191(x50522))+~E(f329(f329(f115(x50522),x50523),x50521),f191(x50522))
% 192.24/192.22 [5053]~P3(x50532)+E(x50531,f191(x50532))+~E(f329(f329(f115(x50532),x50531),x50533),f191(x50532))
% 192.24/192.22 [5054]~P102(x50542)+E(x50541,f247(x50542))+~E(f329(f329(f106(x50542),x50543),x50541),f247(x50542))
% 192.24/192.22 [5055]~P102(x50552)+E(x50551,f247(x50552))+~E(f329(f329(f106(x50552),x50551),x50553),f247(x50552))
% 192.24/192.22 [5123]~P79(x51232)+E(x51231,f329(f81(x51232),x51233))+~E(f329(f329(f82(x51232),x51231),x51233),f2(x51232))
% 192.24/192.22 [5124]~P79(x51241)+E(f329(f81(x51241),x51242),x51243)+~E(f329(f329(f82(x51241),x51242),x51243),f2(x51241))
% 192.24/192.22 [5126]~E(x51262,x51263)+~P111(x51261)+P1(f329(f329(f239(x51261),x51262),x51263))
% 192.24/192.22 [5128]~E(x51282,x51283)+~P113(x51281)+P1(f329(f329(f239(x51281),x51282),x51283))
% 192.24/192.22 [5228]~P122(x52281)+~E(x52282,f329(f81(x52281),x52283))+E(f329(f329(f83(x52281),x52282),x52282),f329(f329(f83(x52281),x52283),x52283))
% 192.24/192.22 [5236]~P112(x52361)+~P19(x52361,x52363)+P19(x52361,f329(f329(f178(x52361),x52362),x52363))
% 192.24/192.22 [5237]~P112(x52371)+~P19(x52371,x52373)+P19(x52371,f329(f329(f141(x52371),x52372),x52373))
% 192.24/192.22 [5276]E(x52761,x52762)+E(x52763,f2(a909))+~E(f329(f329(f83(a909),x52763),x52761),f329(f329(f83(a909),x52763),x52762))
% 192.24/192.22 [5277]E(x52771,x52772)+E(x52773,f2(a909))+~E(f329(f329(f83(a909),x52771),x52773),f329(f329(f83(a909),x52772),x52773))
% 192.24/192.22 [5354]~E(x53542,x53543)+~P113(x53541)+E(f305(x53541,x53542,x53543),f329(f329(f311(x53541),x53542),f191(f917(x53541,a904))))
% 192.24/192.22 [5403]~E(x54031,x54032)+~P112(x54033)+~P1(f329(f329(f240(x54033),x54031),x54032))
% 192.24/192.22 [5404]~E(x54041,x54042)+~P113(x54043)+~P1(f329(f329(f240(x54043),x54041),x54042))
% 192.24/192.22 [5416]~P113(x54161)+E(f329(f304(x54161,x54162),x54163),f191(f917(x54161,a904)))+P1(f329(f329(f240(x54161),x54162),x54163))
% 192.24/192.22 [5464]~P113(x54641)+E(f307(x54641,x54642,x54643),f191(f917(x54641,a904)))+P1(f329(f329(f240(x54641),x54642),x54643))
% 192.24/192.22 [5465]~P113(x54651)+E(f305(x54651,x54652,x54653),f191(f917(x54651,a904)))+P1(f329(f329(f239(x54651),x54652),x54653))
% 192.24/192.22 [5466]~P113(x54661)+E(f191(f917(x54661,a904)),f307(x54661,x54662,x54663))+P1(f329(f329(f240(x54661),x54662),x54663))
% 192.24/192.22 [5467]~P113(x54671)+E(f191(f917(x54671,a904)),f305(x54671,x54672,x54673))+P1(f329(f329(f239(x54671),x54672),x54673))
% 192.24/192.22 [5474]~P103(x54741)+~E(f329(f329(f115(x54741),x54742),x54743),x54743)+P1(f329(f329(f239(x54741),x54742),x54743))
% 192.24/192.22 [5475]~P104(x54751)+~E(f329(f329(f106(x54751),x54752),x54753),x54752)+P1(f329(f329(f239(x54751),x54752),x54753))
% 192.24/192.22 [5476]~P112(x54761)+~E(f329(f329(f237(x54761),x54762),x54763),x54762)+P1(f329(f329(f239(x54761),x54762),x54763))
% 192.24/192.22 [5477]~P112(x54771)+~E(f329(f329(f238(x54771),x54772),x54773),x54773)+P1(f329(f329(f239(x54771),x54772),x54773))
% 192.24/192.22 [5496]~P112(x54961)+P19(x54961,x54962)+~P19(x54961,f329(f329(f154(x54961),x54963),x54962))
% 192.24/192.22 [5497]~P112(x54971)+P19(x54971,x54972)+~P19(x54971,f329(f329(f137(x54971),x54973),x54972))
% 192.24/192.22 [5498]~P112(x54981)+P19(x54981,x54982)+~P19(x54981,f329(f329(f137(x54981),x54982),x54983))
% 192.24/192.22 [5564]~P112(x55641)+P1(f329(f329(f239(x55641),x55643),x55642))+P1(f329(f329(f240(x55641),x55642),x55643))
% 192.24/192.22 [5566]~P112(x55661)+P1(f329(f329(f239(x55661),x55663),x55662))+P1(f329(f329(f239(x55661),x55662),x55663))
% 192.24/192.22 [5604]~P103(x56041)+E(f329(f329(f115(x56041),x56042),x56043),x56042)+~P1(f329(f329(f239(x56041),x56043),x56042))
% 192.24/192.22 [5606]~P103(x56061)+E(f329(f329(f115(x56061),x56062),x56063),x56063)+~P1(f329(f329(f239(x56061),x56062),x56063))
% 192.24/192.22 [5607]~P104(x56071)+E(f329(f329(f106(x56071),x56072),x56073),x56073)+~P1(f329(f329(f239(x56071),x56073),x56072))
% 192.24/192.22 [5609]~P104(x56091)+E(f329(f329(f106(x56091),x56092),x56093),x56092)+~P1(f329(f329(f239(x56091),x56092),x56093))
% 192.24/192.22 [5610]~P112(x56101)+E(f329(f329(f237(x56101),x56102),x56103),x56103)+~P1(f329(f329(f239(x56101),x56103),x56102))
% 192.24/192.22 [5612]~P112(x56121)+E(f329(f329(f237(x56121),x56122),x56123),x56122)+~P1(f329(f329(f239(x56121),x56122),x56123))
% 192.24/192.22 [5613]~P112(x56131)+E(f329(f329(f238(x56131),x56132),x56133),x56132)+~P1(f329(f329(f239(x56131),x56133),x56132))
% 192.24/192.22 [5615]~P112(x56151)+E(f329(f329(f238(x56151),x56152),x56153),x56153)+~P1(f329(f329(f239(x56151),x56152),x56153))
% 192.24/192.22 [5622]~P123(x56222)+E(x56221,f2(x56222))+E(f329(f329(f292(x56222),f329(f81(x56222),x56223)),f329(f81(x56222),x56221)),f329(f329(f292(x56222),x56223),x56221))
% 192.24/192.22 [5673]~P113(x56731)+E(f329(f304(x56731,x56732),x56733),f191(f917(x56731,a904)))+~P1(f329(f329(f239(x56731),x56733),x56732))
% 192.24/192.22 [5705]~P113(x57051)+E(f308(x57051,x57052,x57053),f191(f917(x57051,a904)))+~P1(f329(f329(f239(x57051),x57053),x57052))
% 192.24/192.22 [5706]~P113(x57061)+E(f307(x57061,x57062,x57063),f191(f917(x57061,a904)))+~P1(f329(f329(f239(x57061),x57063),x57062))
% 192.24/192.22 [5707]~P113(x57071)+E(f305(x57071,x57072,x57073),f191(f917(x57071,a904)))+~P1(f329(f329(f240(x57071),x57073),x57072))
% 192.24/192.22 [5750]~P110(x57501)+~P1(f329(x57502,x57503))+P1(f329(f329(f239(x57501),f243(x57501,x57502)),x57503))
% 192.24/192.22 [5760]~E(f329(f329(f23(a909),x57601),x57603),x57602)+E(x57601,f329(f329(f82(a909),x57602),x57603))+~P1(f329(f329(f239(a909),x57603),x57601))
% 192.24/192.22 [5761]~E(x57611,f329(f329(f82(a909),x57613),x57612))+E(f329(f329(f23(a909),x57611),x57612),x57613)+~P1(f329(f329(f239(a909),x57612),x57611))
% 192.24/192.22 [5807]~P1(f329(x58071,x58073))+P1(f329(x58071,f346(x58071,x58072)))+~P1(f329(f329(f240(a909),x58073),x58072))
% 192.24/192.22 [5808]~P1(f329(x58081,x58083))+P1(f329(x58081,f358(x58081,x58082)))+~P1(f329(f329(f239(a909),x58083),x58082))
% 192.24/192.22 [5816]~P113(x58161)+~E(f329(f304(x58161,x58162),x58163),f191(f917(x58161,a904)))+~P1(f329(f329(f240(x58161),x58162),x58163))
% 192.24/192.22 [5821]~P111(x58211)+~P1(f329(f329(f240(x58211),x58212),x58213))+P1(f329(f329(f239(x58211),x58212),x58213))
% 192.24/192.22 [5823]~P113(x58231)+~P1(f329(f329(f240(x58231),x58232),x58233))+P1(f329(f329(f239(x58231),x58232),x58233))
% 192.24/192.22 [5930]~P113(x59301)+~E(f307(x59301,x59302,x59303),f191(f917(x59301,a904)))+~P1(f329(f329(f240(x59301),x59302),x59303))
% 192.24/192.22 [5931]~P113(x59311)+~E(f305(x59311,x59312,x59313),f191(f917(x59311,a904)))+~P1(f329(f329(f239(x59311),x59312),x59313))
% 192.24/192.22 [5932]~P113(x59321)+~E(f191(f917(x59321,a904)),f307(x59321,x59322,x59323))+~P1(f329(f329(f240(x59321),x59322),x59323))
% 192.24/192.22 [5933]~P113(x59331)+~E(f191(f917(x59331,a904)),f305(x59331,x59332,x59333))+~P1(f329(f329(f239(x59331),x59332),x59333))
% 192.24/192.22 [5946]P1(f329(x59461,x59462))+~P1(f329(x59461,f347(x59461,x59463)))+~P1(f329(f329(f240(a909),x59462),x59463))
% 192.24/192.22 [5947]P1(f329(x59471,x59472))+~P1(f329(x59471,f361(x59471,x59473)))+~P1(f329(f329(f239(a909),x59472),x59473))
% 192.24/192.22 [5955]~E(x59551,f329(a117,x59553))+P1(f329(f329(f240(a909),x59551),f329(a117,x59552)))+~P1(f329(f329(f240(a909),x59553),x59552))
% 192.24/192.22 [5973]E(x59731,x59732)+~E(f329(f329(f83(a909),x59733),x59731),f329(f329(f83(a909),x59733),x59732))+~P1(f329(f329(f240(a909),f2(a909)),x59733))
% 192.24/192.22 [6029]E(f329(x60291,f862(x60291,x60292,x60293)),f80(a909))+~E(f329(f329(f6(x60293,a909),x60291),x60292),f80(a909))+~P1(f329(f62(x60293),x60292))
% 192.24/192.22 [6044]~P11(x60441)+P1(f329(f329(f239(x60441),x60442),f38(x60441,x60443)))+~P1(f329(f329(f331(x60441),x60442),x60443))
% 192.24/192.22 [6071]~P111(x60711)+~P1(f329(f329(f240(x60711),x60713),x60712))+~P1(f329(f329(f240(x60711),x60712),x60713))
% 192.24/192.22 [6072]~P111(x60721)+~P1(f329(f329(f239(x60721),x60723),x60722))+~P1(f329(f329(f240(x60721),x60722),x60723))
% 192.24/192.22 [6073]~P112(x60731)+~P1(f329(f329(f240(x60731),x60733),x60732))+~P1(f329(f329(f240(x60731),x60732),x60733))
% 192.24/192.22 [6076]~P112(x60761)+~P1(f329(f329(f239(x60761),x60763),x60762))+~P1(f329(f329(f240(x60761),x60762),x60763))
% 192.24/192.22 [6077]~P113(x60771)+~P1(f329(f329(f240(x60771),x60773),x60772))+~P1(f329(f329(f240(x60771),x60772),x60773))
% 192.24/192.22 [6107]~E(f329(x61072,f863(x61072,x61073,x61071)),f2(a909))+E(f329(f329(f6(x61071,a909),x61072),x61073),f2(a909))+~P1(f329(f62(x61071),x61073))
% 192.24/192.22 [6108]~E(f329(x61082,f879(x61082,x61083,x61081)),f80(a909))+E(f329(f329(f9(x61081,a909),x61082),x61083),f80(a909))+~P1(f329(f62(x61081),x61083))
% 192.24/192.22 [6124]~P114(x61241)+~P1(f329(f329(f239(x61241),x61243),x61242))+P1(f329(f329(f331(x61241),x61242),f329(f286(x61241),x61243)))
% 192.24/192.22 [6125]~P114(x61251)+~P1(f329(f329(f240(x61251),x61253),x61252))+P1(f329(f329(f331(x61251),x61252),f329(f306(x61251),x61253)))
% 192.24/192.22 [6126]~P114(x61261)+~P1(f329(f329(f240(x61261),x61262),x61263))+P1(f329(f329(f331(x61261),x61262),f329(f285(x61261),x61263)))
% 192.24/192.22 [6127]~P114(x61271)+~P1(f329(f329(f239(x61271),x61272),x61273))+P1(f329(f329(f331(x61271),x61272),f329(f303(x61271),x61273)))
% 192.24/192.22 [6139]E(f329(x61391,f864(x61391,x61392,x61393)),f329(a117,f2(a909)))+~E(f329(f329(f6(x61393,a909),x61391),x61392),f329(a117,f2(a909)))+~P1(f329(f62(x61393),x61392))
% 192.24/192.22 [6224]~P11(x62241)+~P1(f329(f329(f331(x62241),x62243),x62242))+P1(f329(f329(f239(x62241),f39(x62241,x62242)),x62243))
% 192.24/192.22 [6244]~P1(f329(f329(f239(a909),x62441),x62443))+P1(f329(f329(f239(a909),x62441),x62442))+~P1(f329(f329(f239(a909),x62443),x62442))
% 192.24/192.22 [6245]~P1(f329(f329(f239(a1),x62451),x62453))+P1(f329(f329(f239(a1),x62451),x62452))+~P1(f329(f329(f239(a1),x62453),x62452))
% 192.24/192.22 [6264]~P114(x62641)+~P1(f329(f329(f331(x62641),x62643),f329(f306(x62641),x62642)))+P1(f329(f329(f240(x62641),x62642),x62643))
% 192.24/192.22 [6265]~P114(x62651)+~P1(f329(f329(f331(x62651),x62652),f329(f285(x62651),x62653)))+P1(f329(f329(f240(x62651),x62652),x62653))
% 192.24/192.22 [6266]~P114(x62661)+~P1(f329(f329(f331(x62661),x62663),f329(f286(x62661),x62662)))+P1(f329(f329(f239(x62661),x62662),x62663))
% 192.24/192.22 [6267]~P114(x62671)+~P1(f329(f329(f331(x62671),x62672),f329(f303(x62671),x62673)))+P1(f329(f329(f239(x62671),x62672),x62673))
% 192.24/192.22 [6341]~P1(f329(x63411,x63412))+P1(f329(x63411,f813(x63411)))+~P1(f329(f329(f331(x63413),x63412),f247(f917(x63413,a904))))
% 192.24/192.22 [6447]~P113(x64471)+~P47(a909,x64471,x64472)+P1(f329(f329(f239(x64471),f329(x64472,x64473)),f329(x64472,f329(a117,x64473))))
% 192.24/192.22 [6481]~P72(x64811)+P1(f329(f329(f240(x64811),f2(x64811)),f406(x64813,x64812,x64811)))+P1(f329(f329(f239(x64811),x64812),x64813))
% 192.24/192.22 [6482]~P73(x64821)+P1(f329(f329(f240(x64821),f2(x64821)),f794(x64823,x64822,x64821)))+P1(f329(f329(f239(x64821),x64822),x64823))
% 192.24/192.22 [6553]~P87(x65531)+~P1(f329(f329(f240(x65531),x65533),f329(f81(x65531),x65532)))+P1(f329(f329(f240(x65531),x65532),f329(f81(x65531),x65533)))
% 192.24/192.22 [6555]~P87(x65551)+~P1(f329(f329(f239(x65551),x65553),f329(f81(x65551),x65552)))+P1(f329(f329(f239(x65551),x65552),f329(f81(x65551),x65553)))
% 192.24/192.22 [6567]~P1(f329(f329(f240(a909),x65671),x65673))+~P1(f329(f329(f240(a909),x65673),x65672))+P1(f329(f329(f240(a909),f329(a117,x65671)),x65672))
% 192.24/192.22 [6593]~P120(x65931)+P1(f329(f329(f240(x65931),f329(f107(x65931),x65932)),f329(f107(x65931),x65933)))+~P1(f329(f329(f240(a1),x65932),x65933))
% 192.24/192.22 [6594]~P126(x65941)+P1(f329(f329(f240(x65941),f329(f105(x65941),x65942)),f329(f105(x65941),x65943)))+~P1(f329(f329(f240(a909),x65942),x65943))
% 192.24/192.22 [6595]~P126(x65951)+P1(f329(f329(f239(x65951),f329(f105(x65951),x65952)),f329(f105(x65951),x65953)))+~P1(f329(f329(f239(a909),x65952),x65953))
% 192.24/192.22 [6596]~P120(x65961)+P1(f329(f329(f239(x65961),f329(f107(x65961),x65962)),f329(f107(x65961),x65963)))+~P1(f329(f329(f239(a1),x65962),x65963))
% 192.24/192.22 [6602]~P112(x66021)+E(f329(f329(f115(f917(x66021,a904)),f329(f285(x66021),x66022)),f329(f304(x66021,x66022),x66023)),f329(f285(x66021),x66023))+~P1(f329(f329(f239(x66021),x66022),x66023))
% 192.24/192.22 [6633]~P87(x66331)+~P1(f329(f329(f240(x66331),x66333),x66332))+P1(f329(f329(f240(x66331),f329(f81(x66331),x66332)),f329(f81(x66331),x66333)))
% 192.24/192.22 [6635]~P87(x66351)+~P1(f329(f329(f239(x66351),x66353),x66352))+P1(f329(f329(f239(x66351),f329(f81(x66351),x66352)),f329(f81(x66351),x66353)))
% 192.24/192.22 [6637]~P98(x66371)+~P1(f329(f329(f239(x66371),x66373),x66372))+P1(f329(f329(f239(x66371),f329(f81(x66371),x66372)),f329(f81(x66371),x66373)))
% 192.24/192.22 [6670]~P112(x66701)+E(f329(f329(f115(f917(x66701,a904)),f329(f285(x66701),x66702)),f305(x66701,x66702,x66703)),f329(f303(x66701),x66703))+~P1(f329(f329(f239(x66701),x66702),x66703))
% 192.24/192.22 [6671]~P112(x66711)+E(f329(f329(f115(f917(x66711,a904)),f329(f303(x66711),x66712)),f308(x66711,x66712,x66713)),f329(f285(x66711),x66713))+~P1(f329(f329(f240(x66711),x66712),x66713))
% 192.24/192.22 [6672]~P112(x66721)+E(f329(f329(f115(f917(x66721,a904)),f329(f303(x66721),x66722)),f307(x66721,x66722,x66723)),f329(f303(x66721),x66723))+~P1(f329(f329(f239(x66721),x66722),x66723))
% 192.24/192.22 [6708]~P112(x67081)+E(f329(f329(f115(f917(x67081,a904)),f329(f304(x67081,x67082),x67083)),f329(f286(x67081),x67083)),f329(f286(x67081),x67082))+~P1(f329(f329(f239(x67081),x67082),x67083))
% 192.24/192.22 [6774]~P11(x67741)+~P1(f329(f329(f239(x67741),f329(x67742,x67743)),x67743))+P1(f329(f329(f239(x67741),f100(x67741,x67742)),x67743))
% 192.24/192.22 [6860]~P112(x68601)+E(f329(f329(f115(f917(x68601,a904)),f308(x68601,x68602,x68603)),f329(f286(x68601),x68603)),f329(f306(x68601),x68602))+~P1(f329(f329(f240(x68601),x68602),x68603))
% 192.24/192.22 [6861]~P112(x68611)+E(f329(f329(f115(f917(x68611,a904)),f307(x68611,x68612,x68613)),f329(f306(x68611),x68613)),f329(f306(x68611),x68612))+~P1(f329(f329(f239(x68611),x68612),x68613))
% 192.24/192.22 [6862]~P112(x68621)+E(f329(f329(f115(f917(x68621,a904)),f305(x68621,x68622,x68623)),f329(f306(x68621),x68623)),f329(f286(x68621),x68622))+~P1(f329(f329(f239(x68621),x68622),x68623))
% 192.24/192.22 [6881]P1(f329(x68811,x68812))+~P1(f329(f329(f239(a909),x68812),x68813))+P1(f329(f329(f331(a909),f361(x68811,x68813)),f305(a909,f2(a909),x68813)))
% 192.24/192.22 [6915]E(x69151,x69152)+~E(f329(f329(f167(x69153),x69151),f659(x69153,x69152,x69151)),f329(f329(f167(x69153),x69152),f659(x69153,x69152,x69151)))+~E(f329(f192(f910(x69153)),x69151),f329(f192(f910(x69153)),x69152))
% 192.24/192.22 [6920]~E(x69203,f329(f329(f37(a909),x69201),x69202))+~P1(f329(f329(f240(a909),f2(a909)),x69202))+P1(f329(f329(f240(a909),x69201),f329(f329(f83(a909),x69202),f329(a117,x69203))))
% 192.24/192.22 [6936]~P1(f329(x69361,x69363))+~P1(f329(f329(f239(a909),x69363),x69362))+P1(f329(f329(f331(a909),f358(x69361,x69362)),f305(a909,f2(a909),x69362)))
% 192.24/192.22 [6973]~P1(f329(x69731,x69733))+P1(f329(x69731,f360(x69731,x69732)))+~P1(f329(f329(f331(a909),x69733),f305(a909,f2(a909),x69732)))
% 192.24/192.22 [6992]~P126(x69923)+~P1(f329(f329(f240(x69923),f329(f105(x69923),x69921)),f329(f105(x69923),x69922)))+P1(f329(f329(f240(a909),x69921),x69922))
% 192.24/192.22 [6993]~P120(x69933)+~P1(f329(f329(f240(x69933),f329(f107(x69933),x69931)),f329(f107(x69933),x69932)))+P1(f329(f329(f240(a1),x69931),x69932))
% 192.24/192.22 [6994]~P126(x69943)+~P1(f329(f329(f239(x69943),f329(f105(x69943),x69941)),f329(f105(x69943),x69942)))+P1(f329(f329(f239(a909),x69941),x69942))
% 192.24/192.22 [6995]~P120(x69953)+~P1(f329(f329(f239(x69953),f329(f107(x69953),x69951)),f329(f107(x69953),x69952)))+P1(f329(f329(f239(a1),x69951),x69952))
% 192.24/192.22 [7012]~P126(x70121)+~P1(f329(f329(f240(x70121),f80(x70121)),x70122))+P1(f329(f329(f240(x70121),f80(x70121)),f329(f329(f249(x70121),x70122),f329(a117,x70123))))
% 192.24/192.22 [7014]~P87(x70141)+~P1(f329(f329(f240(x70141),f329(f81(x70141),x70143)),f329(f81(x70141),x70142)))+P1(f329(f329(f240(x70141),x70142),x70143))
% 192.24/192.22 [7015]~P87(x70151)+~P1(f329(f329(f239(x70151),f329(f81(x70151),x70153)),f329(f81(x70151),x70152)))+P1(f329(f329(f239(x70151),x70152),x70153))
% 192.24/192.22 [7016]~P98(x70161)+~P1(f329(f329(f239(x70161),f329(f81(x70161),x70163)),f329(f81(x70161),x70162)))+P1(f329(f329(f239(x70161),x70162),x70163))
% 192.24/192.22 [7042]P1(f329(x70421,x70422))+~P1(f329(x70421,f362(x70421,x70423)))+~P1(f329(f329(f331(a909),x70422),f305(a909,f2(a909),x70423)))
% 192.24/192.22 [7061]~P72(x70611)+P1(f329(f329(f240(x70611),f406(x70613,x70612,x70611)),f80(x70611)))+P1(f329(f329(f239(x70611),x70612),x70613))
% 192.24/192.22 [7081]~E(f46(a909,x70813,x70812),f46(a909,x70811,x70812))+E(f329(f329(f82(a909),x70811),f329(f329(f83(a909),x70812),f475(x70811,x70812,x70813))),x70813)+~P1(f329(f329(f239(a909),x70811),x70813))
% 192.24/192.22 [7135]E(f329(f329(f6(x71351,a909),x71352),x71353),f2(a909))+~P1(f329(f62(x71351),x71353))+P1(f329(f329(f331(x71351),f863(x71352,x71353,x71351)),x71353))
% 192.24/192.22 [7136]E(f329(f329(f9(x71361,a909),x71362),x71363),f80(a909))+~P1(f329(f62(x71361),x71363))+P1(f329(f329(f331(x71361),f879(x71362,x71363,x71361)),x71363))
% 192.24/192.22 [7158]~P112(x71581)+~P1(f329(f329(f240(x71581),x71582),x71583))+P1(f329(f329(f240(f917(x71581,a904)),f329(f285(x71581),x71582)),f329(f285(x71581),x71583)))
% 192.24/192.22 [7159]~P112(x71591)+~P1(f329(f329(f239(x71591),x71592),x71593))+P1(f329(f329(f239(f917(x71591,a904)),f329(f285(x71591),x71592)),f329(f285(x71591),x71593)))
% 192.24/192.22 [7160]~P113(x71601)+~P1(f329(f329(f239(x71601),x71602),x71603))+P1(f329(f329(f239(f917(x71601,a904)),f329(f303(x71601),x71602)),f329(f303(x71601),x71603)))
% 192.24/192.22 [7161]~P113(x71611)+~P1(f329(f329(f239(x71611),x71613),x71612))+P1(f329(f329(f239(f917(x71611,a904)),f329(f286(x71611),x71612)),f329(f286(x71611),x71613)))
% 192.24/192.22 [7162]~P112(x71621)+~P1(f329(f329(f239(x71621),x71623),x71622))+P1(f329(f329(f239(f917(x71621,a904)),f329(f306(x71621),x71622)),f329(f306(x71621),x71623)))
% 192.24/192.22 [7173]~P11(x71731)+P1(f329(f329(f239(x71731),x71732),f39(x71731,x71733)))+P1(f329(f329(f331(x71731),f635(x71733,x71732,x71731)),x71733))
% 192.24/192.22 [7179]~P87(x71791)+P1(f329(f329(f240(x71791),f329(f329(f23(x71791),x71792),x71793)),f2(x71791)))+~P1(f329(f329(f240(x71791),x71792),x71793))
% 192.24/192.22 [7180]~P87(x71801)+P1(f329(f329(f239(x71801),f329(f329(f23(x71801),x71802),x71803)),f2(x71801)))+~P1(f329(f329(f239(x71801),x71802),x71803))
% 192.24/192.22 [7221]P1(f329(x72211,x72212))+P1(f329(f329(f239(a909),f362(x72211,x72213)),x72213))+~P1(f329(f329(f331(a909),x72212),f305(a909,f2(a909),x72213)))
% 192.24/192.22 [7261]~E(f329(f329(f6(x72611,a909),x72612),x72613),f80(a909))+~P1(f329(f62(x72611),x72613))+P1(f329(f329(f331(x72611),f862(x72612,x72613,x72611)),x72613))
% 192.24/192.22 [7262]~P1(f329(x72621,x72623))+P1(f329(f329(f239(a909),f360(x72621,x72622)),x72622))+~P1(f329(f329(f331(a909),x72623),f305(a909,f2(a909),x72622)))
% 192.24/192.22 [7302]~P11(x73021)+P1(f329(f329(f331(x73021),f637(x73023,x73022,x73021)),x73022))+P1(f329(f329(f239(x73021),f38(x73021,x73022)),x73023))
% 192.24/192.22 [7336]~E(f329(f329(f6(x73361,a909),x73362),x73363),f329(a117,f2(a909)))+~P1(f329(f62(x73361),x73363))+P1(f329(f329(f331(x73361),f864(x73362,x73363,x73361)),x73363))
% 192.24/192.22 [7347]E(x73471,f2(a909))+P1(f329(x73472,f46(a909,x73473,x73471)))+P1(f329(f329(f240(a909),f418(x73471,x73473,x73472)),x73471))
% 192.24/192.22 [7466]~P1(f329(x74661,x74662))+P1(f329(x74661,f46(a909,x74662,x74663)))+P1(f329(f329(f240(a909),f418(x74663,x74662,x74661)),x74663))
% 192.24/192.22 [7586]E(x75861,f118(x75862))+~P1(f329(f329(f331(f910(x75862)),x75861),f164(x75862,x75863)))+P1(f329(f329(f331(x75862),f712(x75863,x75861,x75862)),x75863))
% 192.24/192.22 [7608]~P112(x76081)+E(f329(f329(f115(f917(x76081,a904)),f329(f329(f311(x76081),x76082),f191(f917(x76081,a904)))),f308(x76081,x76082,x76083)),f329(f304(x76081,x76082),x76083))+~P1(f329(f329(f240(x76081),x76082),x76083))
% 192.24/192.22 [7631]~P112(x76311)+E(f329(f329(f115(f917(x76311,a904)),f329(f329(f311(x76311),x76312),f191(f917(x76311,a904)))),f307(x76311,x76312,x76313)),f305(x76311,x76312,x76313))+~P1(f329(f329(f239(x76311),x76312),x76313))
% 192.24/192.22 [7737]~P112(x77371)+P1(f329(f329(f240(x77371),x77372),x77373))+~P1(f329(f329(f240(f917(x77371,a904)),f329(f285(x77371),x77372)),f329(f285(x77371),x77373)))
% 192.24/192.22 [7738]~P112(x77381)+P1(f329(f329(f239(x77381),x77382),x77383))+~P1(f329(f329(f239(f917(x77381,a904)),f329(f306(x77381),x77383)),f329(f306(x77381),x77382)))
% 192.24/192.22 [7739]~P113(x77391)+P1(f329(f329(f239(x77391),x77392),x77393))+~P1(f329(f329(f239(f917(x77391,a904)),f329(f286(x77391),x77393)),f329(f286(x77391),x77392)))
% 192.24/192.22 [7740]~P112(x77401)+P1(f329(f329(f239(x77401),x77402),x77403))+~P1(f329(f329(f239(f917(x77401,a904)),f329(f285(x77401),x77402)),f329(f285(x77401),x77403)))
% 192.24/192.22 [7741]~P113(x77411)+P1(f329(f329(f239(x77411),x77412),x77413))+~P1(f329(f329(f239(f917(x77411,a904)),f329(f303(x77411),x77412)),f329(f303(x77411),x77413)))
% 192.24/192.22 [7765]~P87(x77651)+~P1(f329(f329(f240(x77651),f329(f329(f23(x77651),x77652),x77653)),f2(x77651)))+P1(f329(f329(f240(x77651),x77652),x77653))
% 192.24/192.22 [7766]~P87(x77661)+~P1(f329(f329(f239(x77661),f329(f329(f23(x77661),x77662),x77663)),f2(x77661)))+P1(f329(f329(f239(x77661),x77662),x77663))
% 192.24/192.22 [7930]E(x79301,f2(a909))+~E(f329(f145(a909,a909,f82(a909),x79302),x79303),f2(a909))+~P1(f329(f329(f331(a909),x79301),f329(f175(a909),x79303)))
% 192.24/192.22 [7934]~P11(x79341)+~P1(f329(f329(f239(x79341),f637(x79343,x79342,x79341)),x79343))+P1(f329(f329(f239(x79341),f38(x79341,x79342)),x79343))
% 192.24/192.22 [8088]P1(f329(f329(f239(a1),f2(a1)),f408(x80881,x80882,x80883)))+P1(f329(f329(x80882,f329(f329(f37(a1),x80881),x80883)),f46(a1,x80881,x80883)))+~P1(f329(f329(f240(a1),f2(a1)),x80883))
% 192.24/192.22 [8186]E(x81861,x81862)+~E(f329(f192(f910(x81863)),x81861),f329(f192(f910(x81863)),x81862))+~P1(f329(f329(f262(x81863,x81863,a904),a326),f687(x81863,x81861,x81862)))
% 192.24/192.22 [8257]~P44(x82572,x82573)+E(x82571,f191(f917(x82572,a904)))+~P1(f329(f329(f239(f917(x82572,a904)),x82571),f329(f288(x82572,x82572,x82573),x82571)))
% 192.24/192.22 [8285]~P73(x82851)+~P1(f329(f329(f239(x82851),x82852),f329(f329(f82(x82851),x82853),f794(x82853,x82852,x82851))))+P1(f329(f329(f239(x82851),x82852),x82853))
% 192.24/192.22 [8321]P61(x83211,x83212,x83213)+P1(f329(f329(f331(x83211),f563(x83213,x83212,x83211)),x83212))+P1(f329(f329(f331(f916(x83211,x83211)),f564(x83213,x83212,x83211)),x83213))
% 192.24/192.22 [8343]P1(f329(f329(x83432,f329(f329(f37(a1),x83431),x83433)),f46(a1,x83431,x83433)))+~P1(f329(f329(f240(a1),f2(a1)),x83433))+P1(f329(f329(f240(a1),f408(x83431,x83432,x83433)),x83433))
% 192.24/192.22 [8367]E(f329(f312(a909,a909,f329(f329(f7(a909,a909,a909),f23(a909)),x83671)),f329(f304(a909,x83672),x83673)),f191(f917(a909,a904)))+P1(f329(f329(f240(a909),x83671),x83673))+P1(f329(f329(f240(a909),x83672),x83673))
% 192.24/192.22 [8478]E(f329(f312(a909,a909,f329(f329(f7(a909,a909,a909),f23(a909)),x84781)),f329(f304(a909,x84782),x84783)),f329(f329(f311(a909),f2(a909)),f191(f917(a909,a904))))+P1(f329(f329(f240(a909),x84781),x84783))+~P1(f329(f329(f240(a909),x84782),x84783))
% 192.24/192.22 [8492]~P112(x84921)+E(f152(x84921,x84921,f5(x84921),x84922,x84923),x84923)+~P1(f329(f329(f331(x84921),x84922),f329(f175(x84921),x84923)))
% 192.24/192.22 [8506]P31(x85061,x85061,x85062,x85063)+~P1(f329(f62(x85061),x85063))+~P1(f329(f329(f239(f917(x85061,a904)),x85063),f329(f312(x85061,x85061,x85062),x85063)))
% 192.24/192.22 [8531]E(f329(f329(f82(a1),f329(f329(f83(a1),x85311),f409(x85312,x85313,x85311))),f408(x85312,x85313,x85311)),x85312)+P1(f329(f329(x85313,f329(f329(f37(a1),x85312),x85311)),f46(a1,x85312,x85311)))+~P1(f329(f329(f240(a1),f2(a1)),x85311))
% 192.24/192.22 [8778]~P1(f329(f329(x87781,f409(x87782,x87781,x87783)),f408(x87782,x87781,x87783)))+P1(f329(f329(x87781,f329(f329(f37(a1),x87782),x87783)),f46(a1,x87782,x87783)))+~P1(f329(f329(f240(a1),f2(a1)),x87783))
% 192.24/192.22 [9659]~P1(f329(f62(x96591),x96592))+~P1(f329(f329(f331(x96591),x96593),x96592))+P1(f329(f329(f240(a909),f329(f36(x96591),f329(f329(f23(f917(x96591,a904)),x96592),f329(f329(f311(x96591),x96593),f191(f917(x96591,a904)))))),f329(f36(x96591),x96592)))
% 192.24/192.22 [10249]P61(x102491,x102492,x102493)+~P1(f329(f329(f262(x102491,x102491,a904),f329(f329(f7(x102491,f917(x102491,a904),f917(x102491,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x102491,a904),f917(x102491,a904)),x102491),f8(a904,a904,x102491)),f329(f329(f8(a904,f917(a904,a904),x102491),a327),f329(f329(f7(x102491,f917(x102491,a904),a904),f331(x102491)),x102492)))),f329(f329(f7(x102491,f917(x102491,a904),a904),f331(x102491)),x102492))),f564(x102493,x102492,x102491)))+P1(f329(f329(f331(x102491),f563(x102493,x102492,x102491)),x102492))
% 192.24/192.22 [5583]~P123(x55832)+E(x55831,f2(x55832))+E(f329(f329(f292(x55832),x55833),f329(f81(x55832),x55831)),f329(f81(x55832),f329(f329(f292(x55832),x55833),x55831)))
% 192.24/192.22 [5721]~E(x57213,f191(f917(x57211,a904)))+~E(x57212,f191(f917(x57211,a904)))+E(f329(f329(f115(f917(x57211,a904)),x57212),x57213),f191(f917(x57211,a904)))
% 192.24/192.22 [5780]~E(x57803,f2(a909))+~P1(f329(x57801,f2(a909)))+P1(f329(x57801,f329(f329(f37(a909),x57802),x57803)))
% 192.24/192.22 [5922]~P73(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)))
% 192.24/192.22 [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))
% 192.24/192.22 [6172]~E(x61722,f2(a909))+P1(f329(x61721,f2(a909)))+~P1(f329(x61721,f329(f329(f37(a909),x61723),x61722)))
% 192.24/192.22 [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))
% 192.24/192.22 [6226]~P1(f329(f62(x62261),x62263))+E(f329(f36(x62261),f329(f329(f311(x62261),x62262),x62263)),f329(f329(f82(a909),f80(a909)),f329(f36(x62261),x62263)))+P1(f329(f329(f331(x62261),x62262),x62263))
% 192.24/192.22 [6342]E(f329(f329(f82(a909),x63421),f833(x63421,x63422,x63423)),x63422)+~P1(f329(x63423,f2(a909)))+P1(f329(x63423,f329(f329(f23(a909),x63422),x63421)))
% 192.24/192.22 [6343]E(f329(f329(f82(a909),x63431),f843(x63431,x63432,x63433)),x63432)+~P1(f329(x63433,f2(a909)))+P1(f329(x63433,f329(f329(f23(a909),x63432),x63431)))
% 192.24/192.22 [6389]~P11(x63891)+~P1(f329(f62(x63891),x63893))+E(f329(f329(f65(x63891,x63891,f115(x63891)),x63892),x63893),f329(f329(f115(x63891),x63892),f38(x63891,x63893)))
% 192.24/192.22 [6390]~P11(x63901)+~P1(f329(f62(x63901),x63903))+E(f329(f329(f65(x63901,x63901,f106(x63901)),x63902),x63903),f329(f329(f106(x63901),x63902),f39(x63901,x63903)))
% 192.24/192.22 [6396]~P96(x63961)+~E(f329(f108(x63961),x63962),f329(f108(x63961),x63963))+P36(x63961,f329(f108(x63961),f329(f329(f82(a1),x63962),f329(f81(a1),x63963))))
% 192.24/192.22 [6405]~P129(x64051)+E(f329(f329(f23(x64051),f329(f105(x64051),x64052)),f329(f105(x64051),x64053)),f329(f105(x64051),f329(f329(f23(a909),x64052),x64053)))+~P1(f329(f329(f239(a909),x64053),x64052))
% 192.24/192.22 [6492]E(f329(f329(f82(a909),x64921),f833(x64921,x64922,x64923)),x64922)+P1(f329(f329(f240(a909),x64922),x64921))+P1(f329(x64923,f329(f329(f23(a909),x64922),x64921)))
% 192.24/192.22 [6493]E(f329(f329(f82(a909),x64931),f843(x64931,x64932,x64933)),x64932)+P1(f329(f329(f240(a909),x64932),x64931))+P1(f329(x64933,f329(f329(f23(a909),x64932),x64931)))
% 192.24/192.22 [6511]~P120(x65111)+E(f329(f329(f83(x65111),f329(f77(x65111),x65112)),x65113),f329(f77(x65111),f329(f329(f83(x65111),x65112),x65113)))+~P1(f329(f329(f239(x65111),f2(x65111)),x65113))
% 192.24/192.22 [6512]~P72(x65121)+E(f329(f329(f292(x65121),f329(f77(x65121),x65122)),x65123),f329(f77(x65121),f329(f329(f292(x65121),x65122),x65123)))+~P1(f329(f329(f240(x65121),f2(x65121)),x65123))
% 192.24/192.22 [6520]~P2(x65201)+~P1(f329(f62(x65201),x65203))+E(f329(f329(f65(x65201,x65201,f115(x65201)),x65202),x65203),f13(x65201,f329(f329(f311(x65201),x65202),x65203)))
% 192.24/192.22 [6521]~P2(x65211)+~P1(f329(f62(x65211),x65213))+E(f329(f329(f65(x65211,x65211,f106(x65211)),x65212),x65213),f10(x65211,f329(f329(f311(x65211),x65212),x65213)))
% 192.24/192.22 [6522]~P112(x65221)+~P1(f329(f62(x65221),x65223))+E(f329(f329(f65(x65221,x65221,f237(x65221)),x65222),x65223),f14(x65221,f329(f329(f311(x65221),x65222),x65223)))
% 192.24/192.22 [6523]~P112(x65231)+~P1(f329(f62(x65231),x65233))+E(f329(f329(f65(x65231,x65231,f238(x65231)),x65232),x65233),f15(x65231,f329(f329(f311(x65231),x65232),x65233)))
% 192.24/192.22 [6569]E(x65691,f118(x65692))+~E(f182(x65692,x65693),f118(f910(x65692)))+~P1(f329(f329(f331(f910(x65692)),x65691),f329(f175(f910(x65692)),x65693)))
% 192.24/192.22 [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)))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [6646]~P112(x66461)+~P1(f329(f62(x66461),x66463))+E(f12(x66461,f237(x66461),f329(f329(f311(x66461),x66462),x66463)),f329(f329(f65(x66461,x66461,f237(x66461)),x66462),x66463))
% 192.24/192.22 [6648]P1(f329(x66481,f2(a909)))+~P1(f329(f329(f240(a909),x66482),x66483))+~P1(f329(x66481,f329(f329(f23(a909),x66482),x66483)))
% 192.24/192.22 [6667]~P120(x66671)+P1(f329(f329(f240(x66671),x66672),x66673))+~P1(f329(f329(f240(x66671),f329(f77(x66671),x66672)),x66673))
% 192.24/192.22 [6669]~P89(x66691)+P1(f329(f329(f239(x66691),x66692),x66693))+~P1(f329(f329(f239(x66691),f329(f77(x66691),x66692)),x66693))
% 192.24/192.22 [6687]E(x66871,f118(x66872))+E(f329(f144(x66872),f329(f329(f141(x66872),x66873),x66871)),f329(f329(f167(x66872),x66871),x66873))+~P1(f329(f329(f240(a909),x66873),f329(f192(f910(x66872)),x66871)))
% 192.24/192.22 [6739]~P1(f329(x67391,x67393))+P1(f329(x67391,f349(x67391,x67392)))+~P1(f329(f329(f331(a909),x67393),f329(f304(a909,f2(a909)),x67392)))
% 192.24/192.22 [6759]P1(f329(x67591,x67592))+~P1(f329(f329(f240(a909),x67592),x67593))+P1(f329(f329(f331(a909),f347(x67591,x67593)),f329(f304(a909,f2(a909)),x67593)))
% 192.24/192.22 [6776]~P126(x67761)+~P1(f329(f329(f240(x67761),f2(x67761)),x67762))+P1(f329(f329(f240(x67761),f2(x67761)),f329(f329(f249(x67761),x67762),x67763)))
% 192.24/192.22 [6778]~P126(x67781)+~P1(f329(f329(f239(x67781),f2(x67781)),x67782))+P1(f329(f329(f239(x67781),f2(x67781)),f329(f329(f249(x67781),x67782),x67783)))
% 192.24/192.22 [6779]~P126(x67791)+~P1(f329(f329(f239(x67791),f80(x67791)),x67792))+P1(f329(f329(f239(x67791),f80(x67791)),f329(f329(f249(x67791),x67792),x67793)))
% 192.24/192.22 [6803]~P1(f329(x68031,x68033))+~P1(f329(f329(f240(a909),x68033),x68032))+P1(f329(f329(f331(a909),f346(x68031,x68032)),f329(f304(a909,f2(a909)),x68032)))
% 192.24/192.22 [6812]P1(f329(f62(x68121),x68122))+~P1(f329(f62(x68121),x68123))+~P1(f329(f329(f239(f917(x68121,a904)),x68122),x68123))
% 192.24/192.22 [6819]P1(f329(x68191,x68192))+~P1(f329(x68191,f348(x68191,x68193)))+~P1(f329(f329(f331(a909),x68192),f329(f304(a909,f2(a909)),x68193)))
% 192.24/192.22 [6830]E(x68301,f2(a909))+P1(f329(x68302,f352(x68301,x68303,x68302)))+~P1(f329(x68302,f329(f329(f37(a909),x68303),x68301)))
% 192.24/192.22 [6837]~P128(x68372)+E(x68371,f2(x68372))+~E(f329(f329(f82(x68372),f329(f329(f83(x68372),x68373),x68373)),f329(f329(f83(x68372),x68371),x68371)),f2(x68372))
% 192.24/192.22 [6838]~P128(x68382)+E(x68381,f2(x68382))+~E(f329(f329(f82(x68382),f329(f329(f83(x68382),x68381),x68381)),f329(f329(f83(x68382),x68383),x68383)),f2(x68382))
% 192.24/192.22 [6882]E(x68821,f2(a909))+~P1(f329(x68822,f350(x68821,x68823,x68822)))+P1(f329(x68822,f329(f329(f37(a909),x68823),x68821)))
% 192.24/192.22 [6887]~P112(x68871)+~P19(x68871,x68873)+P19(x68871,f329(f329(f151(x68871,x68871,f5(x68871)),x68872),x68873))
% 192.24/192.22 [6929]P1(f329(x69291,f352(x69292,x69293,x69291)))+P1(f329(x69291,f2(a909)))+~P1(f329(x69291,f329(f329(f37(a909),x69293),x69292)))
% 192.24/192.22 [6935]~P96(x69351)+E(f329(f108(x69351),x69352),f329(f108(x69351),x69353))+~P36(x69351,f329(f108(x69351),f329(f329(f82(a1),x69352),f329(f81(a1),x69353))))
% 192.24/192.22 [6998]E(x69981,f2(a1))+E(x69982,f2(a1))+~P1(f329(f50(x69982,x69982),f329(f329(f257(a1,a1),x69983),x69981)))
% 192.24/192.22 [6999]E(x69991,f80(a1))+E(x69992,f2(a1))+~P1(f329(f50(x69992,x69992),f329(f329(f257(a1,a1),x69991),x69993)))
% 192.24/192.22 [7013]P1(f329(x70131,x70132))+P1(f329(f329(f240(a909),f348(x70131,x70133)),x70133))+~P1(f329(f329(f331(a909),x70132),f329(f304(a909,f2(a909)),x70133)))
% 192.24/192.22 [7038]~P1(f329(x70381,f833(x70383,x70382,x70381)))+~P1(f329(x70381,f2(a909)))+P1(f329(x70381,f329(f329(f23(a909),x70382),x70383)))
% 192.24/192.22 [7039]~P1(f329(x70391,f843(x70393,x70392,x70391)))+~P1(f329(x70391,f2(a909)))+P1(f329(x70391,f329(f329(f23(a909),x70392),x70393)))
% 192.24/192.22 [7040]~P1(f329(x70401,f350(x70403,x70402,x70401)))+~P1(f329(x70401,f2(a909)))+P1(f329(x70401,f329(f329(f37(a909),x70402),x70403)))
% 192.24/192.22 [7057]~P1(f329(x70571,x70573))+P1(f329(f329(f240(a909),f349(x70571,x70572)),x70572))+~P1(f329(f329(f331(a909),x70573),f329(f304(a909,f2(a909)),x70572)))
% 192.24/192.22 [7058]E(f329(f329(f23(a909),f329(f329(f23(a909),x70581),x70582)),f329(f329(f23(a909),x70583),x70582)),f329(f329(f23(a909),x70581),x70583))+~P1(f329(f329(f239(a909),x70582),x70581))+~P1(f329(f329(f239(a909),x70582),x70583))
% 192.24/192.22 [7094]~P87(x70941)+~P1(f329(f329(f240(x70941),f329(f81(x70941),x70943)),x70942))+P1(f329(f329(f240(x70941),f329(f81(x70941),x70942)),x70943))
% 192.24/192.22 [7095]~P120(x70951)+~P1(f329(f329(f240(x70951),f329(f77(x70951),x70952)),x70953))+P1(f329(f329(f240(x70951),f329(f81(x70951),x70952)),x70953))
% 192.24/192.22 [7097]~P87(x70971)+~P1(f329(f329(f239(x70971),f329(f81(x70971),x70973)),x70972))+P1(f329(f329(f239(x70971),f329(f81(x70971),x70972)),x70973))
% 192.24/192.22 [7099]~P89(x70991)+~P1(f329(f329(f239(x70991),f329(f77(x70991),x70992)),x70993))+P1(f329(f329(f239(x70991),f329(f81(x70991),x70992)),x70993))
% 192.24/192.22 [7131]~P1(f329(x71313,f833(x71312,x71311,x71313)))+P1(f329(f329(f240(a909),x71311),x71312))+P1(f329(x71313,f329(f329(f23(a909),x71311),x71312)))
% 192.24/192.22 [7132]~P1(f329(x71323,f843(x71322,x71321,x71323)))+P1(f329(f329(f240(a909),x71321),x71322))+P1(f329(x71323,f329(f329(f23(a909),x71321),x71322)))
% 192.24/192.22 [7183]~E(f643(x71833,x71832,x71831),f644(x71833,x71832,x71831))+E(f329(f329(f106(f917(x71831,a904)),x71832),f38(f917(x71831,a904),x71833)),f191(f917(x71831,a904)))+P1(f329(f329(f331(f917(x71831,a904)),x71832),x71833))
% 192.24/192.22 [7191]~P1(f329(f62(x71911),x71913))+P1(f329(f62(x71911),f39(f917(x71911,a904),x71912)))+~P1(f329(f329(f331(f917(x71911,a904)),x71913),x71912))
% 192.24/192.22 [7250]~P112(x72501)+E(f329(f329(f115(f917(x72501,a904)),f329(f304(x72501,x72502),x72503)),f329(f329(f311(x72501),x72503),f191(f917(x72501,a904)))),f305(x72501,x72502,x72503))+~P1(f329(f329(f239(x72501),x72502),x72503))
% 192.24/192.22 [7251]E(x72511,f2(a909))+P1(f329(f329(f240(a909),f353(x72511,x72513,x72512)),x72511))+P1(f329(x72512,f329(f329(f37(a909),x72513),x72511)))
% 192.24/192.22 [7280]P1(f329(f329(f240(a909),f329(f192(f910(x72801)),x72802)),f806(x72803,x72801)))+~P1(f329(f62(f910(x72801)),x72803))+~P1(f329(f329(f331(f910(x72801)),x72802),x72803))
% 192.24/192.22 [7286]E(x72861,x72862)+~P1(f329(f329(f239(f917(x72863,a904)),x72861),x72862))+P1(f329(f329(f240(f917(x72863,a904)),x72861),x72862))
% 192.24/192.22 [7299]E(x72991,x72992)+~E(f329(f192(f910(x72993)),x72991),f329(f192(f910(x72993)),x72992))+P1(f329(f329(f240(a909),f659(x72993,x72991,x72992)),f329(f192(f910(x72993)),x72992)))
% 192.24/192.22 [7348]P14(x73481,x73482,x73483)+~E(f329(f269(x73481,x73481),x73483),x73482)+~E(f329(f329(f291(x73481,x73481,x73481),f329(f289(x73481,x73481),x73483)),x73483),x73483)
% 192.24/192.22 [7430]~P1(f329(x74301,f2(a909)))+P1(f329(f329(f240(a909),f353(x74303,x74302,x74301)),x74303))+P1(f329(x74301,f329(f329(f37(a909),x74302),x74303)))
% 192.24/192.22 [7442]~P112(x74421)+E(f329(f329(f115(f917(x74421,a904)),f308(x74421,x74422,x74423)),f329(f329(f311(x74421),x74423),f191(f917(x74421,a904)))),f307(x74421,x74422,x74423))+~P1(f329(f329(f240(x74421),x74422),x74423))
% 192.24/192.22 [7539]~P1(f329(f62(x75391),x75393))+P1(f329(f329(f240(a909),f329(f36(x75391),x75392)),f329(f36(x75391),x75393)))+~P1(f329(f329(f240(f917(x75391,a904)),x75392),x75393))
% 192.24/192.22 [7540]~P1(f329(f62(x75401),x75403))+P1(f329(f329(f239(a909),f329(f36(x75401),x75402)),f329(f36(x75401),x75403)))+~P1(f329(f329(f239(f917(x75401,a904)),x75402),x75403))
% 192.24/192.22 [7580]~P1(f329(x75803,x75802))+P1(f329(f329(f197(x75801),x75802),f497(x75802,x75801,x75803)))+~P1(f329(f329(f197(f31(x75803,x75801)),x75802),x75802))
% 192.24/192.22 [7674]E(x76741,x76742)+~P1(f329(f329(f239(f917(x76743,a904)),x76742),x76741))+~P1(f329(f329(f239(f917(x76743,a904)),x76741),x76742))
% 192.24/192.22 [7677]~P112(x76771)+P19(x76771,x76772)+~P19(x76771,f329(f329(f151(x76771,x76771,f5(x76771)),x76773),x76772))
% 192.24/192.22 [7745]~P1(f329(f329(f240(a909),x77453),x77452))+~P1(f329(f329(f240(a909),x77453),x77451))+P1(f329(f329(f240(a909),f329(f329(f23(a909),x77451),x77452)),f329(f329(f23(a909),x77451),x77453)))
% 192.24/192.22 [7746]~P1(f329(f329(f240(a909),x77461),x77463))+~P1(f329(f329(f239(a909),x77462),x77461))+P1(f329(f329(f240(a909),f329(f329(f23(a909),x77461),x77462)),f329(f329(f23(a909),x77463),x77462)))
% 192.24/192.22 [7763]~P1(f329(f329(f240(a1),x77632),f2(a1)))+~P1(f329(f329(f239(a1),x77633),x77631))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x77631),x77632)),f329(f329(f37(a1),x77633),x77632)))
% 192.24/192.22 [7782]~P1(f329(f329(f240(a909),f2(a909)),x77822))+~P1(f329(f329(f240(a909),x77821),x77823))+P1(f329(f329(f240(a909),f329(f329(f83(a909),x77821),x77822)),f329(f329(f83(a909),x77823),x77822)))
% 192.24/192.22 [7783]~P1(f329(f329(f240(a909),f2(a909)),x77831))+~P1(f329(f329(f240(a909),x77832),x77833))+P1(f329(f329(f240(a909),f329(f329(f83(a909),x77831),x77832)),f329(f329(f83(a909),x77831),x77833)))
% 192.24/192.22 [7784]~P1(f329(f329(f240(a1),f2(a1)),x77841))+~P1(f329(f329(f240(a1),x77842),x77843))+P1(f329(f329(f240(a1),f329(f329(f83(a1),x77841),x77842)),f329(f329(f83(a1),x77841),x77843)))
% 192.24/192.22 [7786]~P1(f329(f329(f240(a909),f2(a909)),x77863))+~P1(f329(f329(f239(a909),x77863),x77862))+P1(f329(f329(f239(a909),f329(f329(f37(a909),x77861),x77862)),f329(f329(f37(a909),x77861),x77863)))
% 192.24/192.22 [7787]~P1(f329(f329(f240(a1),f2(a1)),x77872))+~P1(f329(f329(f239(a1),x77871),x77873))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x77871),x77872)),f329(f329(f37(a1),x77873),x77872)))
% 192.24/192.22 [7835]E(x78351,f2(a909))+E(f329(f329(f82(a909),f329(f329(f83(a909),x78351),f350(x78351,x78352,x78353))),f353(x78351,x78352,x78353)),x78352)+P1(f329(x78353,f329(f329(f37(a909),x78352),x78351)))
% 192.24/192.22 [7897]E(f329(f329(f82(a909),f329(f329(f83(a909),x78971),f350(x78971,x78972,x78973))),f353(x78971,x78972,x78973)),x78972)+~P1(f329(x78973,f2(a909)))+P1(f329(x78973,f329(f329(f37(a909),x78972),x78971)))
% 192.24/192.22 [7915]~P1(f329(f62(x79151),x79153))+P1(f329(f329(f331(x79151),f891(x79152,x79153,x79151)),x79153))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f9(x79151,a909),x79152),x79153)))
% 192.24/192.22 [7916]~P1(f329(f62(x79161),x79163))+P1(f329(f329(f331(x79161),f420(x79162,x79163,x79161)),x79163))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f9(x79161,a909),x79162),x79163)))
% 192.24/192.22 [8222]E(x82221,f191(f917(x82222,a904)))+E(x82221,f329(f329(f311(x82222),x82223),f191(f917(x82222,a904))))+~P1(f329(f329(f239(f917(x82222,a904)),x82221),f329(f329(f311(x82222),x82223),f191(f917(x82222,a904)))))
% 192.24/192.22 [8259]~P1(f329(f329(f240(a909),f2(a909)),x82593))+P1(f329(f329(f240(a909),x82591),x82592))+~P1(f329(f329(f240(a909),f329(f329(f249(a909),x82593),x82591)),f329(f329(f249(a909),x82593),x82592)))
% 192.24/192.22 [8261]~P1(f329(f329(f240(a909),f2(a909)),x82613))+P1(f329(f329(f239(a909),x82611),x82612))+~P1(f329(f329(f239(a909),f329(f329(f83(a909),x82613),x82611)),f329(f329(f83(a909),x82613),x82612)))
% 192.24/192.22 [8262]~P1(f329(f329(f240(a909),f2(a909)),x82623))+P1(f329(f329(f239(a909),x82621),x82622))+~P1(f329(f329(f239(a909),f329(f329(f83(a909),x82621),x82623)),f329(f329(f83(a909),x82622),x82623)))
% 192.24/192.22 [8294]~P1(f329(x82941,x82943))+P1(f329(f329(f197(f31(x82941,x82942)),f497(x82943,x82942,x82941)),x82943))+~P1(f329(f329(f197(f31(x82941,x82942)),x82943),x82943))
% 192.24/192.22 [8302]~E(f329(f329(f106(f917(x83021,a904)),f644(x83023,x83022,x83021)),f643(x83023,x83022,x83021)),f191(f917(x83021,a904)))+E(f329(f329(f106(f917(x83021,a904)),x83022),f38(f917(x83021,a904),x83023)),f191(f917(x83021,a904)))+P1(f329(f329(f331(f917(x83021,a904)),x83022),x83023))
% 192.24/192.22 [8316]E(x83161,f118(x83162))+~E(f329(f145(f910(x83162),f910(x83162),f137(x83162),f118(x83162)),x83163),f118(x83162))+~P1(f329(f329(f331(f910(x83162)),x83161),f329(f175(f910(x83162)),x83163)))
% 192.24/192.22 [8372]E(x83721,f191(f917(f917(x83722,a904),a904)))+P1(f329(f329(f331(f917(x83722,a904)),f647(x83723,x83721,x83722)),x83721))+P1(f329(f329(f239(f917(x83722,a904)),f39(f917(x83722,a904),x83721)),x83723))
% 192.24/192.22 [8378]~P77(x83781)+~P80(x83781)+E(f329(f329(f6(a1,x83781),f329(f329(f8(a909,x83781,a1),x83782),a109)),f329(f312(a909,a1,f105(a1)),x83783)),f329(f329(f6(a909,x83781),x83782),x83783))
% 192.24/192.22 [8379]~P77(x83791)+~P80(x83791)+E(f329(f329(f9(a1,x83791),f329(f329(f8(a909,x83791,a1),x83792),a109)),f329(f312(a909,a1,f105(a1)),x83793)),f329(f329(f9(a909,x83791),x83792),x83793))
% 192.24/192.22 [8422]~P1(f329(f62(x84221),x84223))+~P1(f329(f329(f240(a909),f2(a909)),f329(x84222,f891(x84222,x84223,x84221))))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f9(x84221,a909),x84222),x84223)))
% 192.24/192.22 [8423]~P1(f329(f62(x84231),x84233))+~P1(f329(f329(f240(a909),f2(a909)),f329(x84232,f420(x84232,x84233,x84231))))+P1(f329(f329(f240(a909),f2(a909)),f329(f329(f9(x84231,a909),x84232),x84233)))
% 192.24/192.22 [8460]~P71(x84602)+E(x84601,f80(x84602))+E(f329(f329(f292(x84602),f329(f329(f23(x84602),f329(f329(f249(x84602),x84601),x84603)),f80(x84602))),f329(f329(f23(x84602),x84601),f80(x84602))),f329(f329(f6(a909,x84602),f329(f249(x84602),x84601)),f329(f304(a909,f2(a909)),x84603)))
% 192.24/192.22 [8517]E(x85171,f2(a909))+~P1(f329(x85173,f329(f329(f37(a909),x85172),x85171)))+P1(f329(f329(f240(a909),x85172),f329(f329(f83(a909),x85171),f329(a117,f352(x85171,x85172,x85173)))))
% 192.24/192.22 [8536]P1(f329(x85361,f2(a909)))+~P1(f329(x85361,f329(f329(f37(a909),x85362),x85363)))+P1(f329(f329(f240(a909),x85362),f329(f329(f83(a909),x85363),f329(a117,f352(x85363,x85362,x85361)))))
% 192.24/192.22 [8576]E(x85761,f2(a909))+~P1(f329(x85763,f329(f329(f37(a909),x85762),x85761)))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x85761),f352(x85761,x85762,x85763))),x85762))
% 192.24/192.22 [8615]P1(f329(x86151,f2(a909)))+~P1(f329(x86151,f329(f329(f37(a909),x86153),x86152)))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x86152),f352(x86152,x86153,x86151))),x86153))
% 192.24/192.22 [8623]~P112(x86231)+E(f329(f329(f151(x86231,x86231,f5(x86231)),x86232),x86233),f152(x86231,x86231,f5(x86231),x86232,x86233))+P1(f329(f329(f331(x86231),x86232),f329(f175(x86231),x86233)))
% 192.24/192.22 [8662]~E(f329(x86623,f576(x86622,x86623,x86621)),f329(x86623,f578(x86622,x86623,x86621)))+~P68(x86621,f329(x86623,f577(x86622,x86623,x86621)))+P68(x86621,f329(f329(f40(x86622,f917(x86621,f917(x86621,a904))),f247(f917(x86622,a904))),x86623))
% 192.24/192.22 [8671]E(x86711,f191(f917(f917(x86712,a904),a904)))+~P1(f329(f329(f239(f917(x86712,a904)),f647(x86713,x86711,x86712)),x86713))+P1(f329(f329(f239(f917(x86712,a904)),f39(f917(x86712,a904),x86711)),x86713))
% 192.24/192.22 [8729]~P73(x87291)+~P1(f329(f329(f240(x87291),x87292),x87293))+P1(f329(f329(f240(x87291),x87292),f329(f329(f292(x87291),f329(f329(f82(x87291),x87292),x87293)),f329(f329(f82(x87291),f80(x87291)),f80(x87291)))))
% 192.24/192.22 [8784]~P1(f329(f329(x87841,f486(x87841,x87843,x87842)),f490(x87841,x87843,x87842)))+P1(f329(f329(x87841,x87842),x87843))+~P1(f329(f317(f916(a1,a1),a53),f329(f329(f257(a1,a1),x87842),x87843)))
% 192.24/192.22 [8785]~P1(f329(f329(x87851,f492(x87851,x87853,x87852)),f493(x87851,x87853,x87852)))+P1(f329(f329(x87851,x87852),x87853))+~P1(f329(f317(f916(a1,a1),a59),f329(f329(f257(a1,a1),x87852),x87853)))
% 192.24/192.22 [8786]~P1(f329(f329(x87861,f494(x87861,x87863,x87862)),f495(x87861,x87863,x87862)))+P1(f329(f329(x87861,x87862),x87863))+~P1(f329(f317(f916(a1,a1),a225),f329(f329(f257(a1,a1),x87862),x87863)))
% 192.24/192.22 [8787]~P1(f329(f329(x87871,f498(x87871,x87873,x87872)),f499(x87871,x87873,x87872)))+P1(f329(f329(x87871,x87872),x87873))+~P1(f329(f317(f916(a909,a909),a223),f329(f329(f257(a909,a909),x87872),x87873)))
% 192.24/192.22 [8788]~P1(f329(f329(x87881,f696(x87881,x87883,x87882)),f698(x87881,x87883,x87882)))+P1(f329(f329(x87881,x87882),x87883))+~P1(f329(f317(f916(a1,a1),a185),f329(f329(f257(a1,a1),x87882),x87883)))
% 192.24/192.22 [8789]~P1(f329(f329(x87891,f798(x87891,x87893,x87892)),f799(x87891,x87893,x87892)))+P1(f329(f329(x87891,x87892),x87893))+~P1(f329(f317(f916(a1,a1),a136),f329(f329(f257(a1,a1),x87892),x87893)))
% 192.24/192.22 [9052]P1(f329(f329(x90521,x90522),x90523))+P1(f329(f317(f916(a909,a909),a223),f329(f329(f257(a909,a909),f498(x90521,x90523,x90522)),f499(x90521,x90523,x90522))))+~P1(f329(f317(f916(a909,a909),a223),f329(f329(f257(a909,a909),x90522),x90523)))
% 192.24/192.22 [9053]P1(f329(f329(x90531,x90532),x90533))+P1(f329(f317(f916(a1,a1),a53),f329(f329(f257(a1,a1),f486(x90531,x90533,x90532)),f490(x90531,x90533,x90532))))+~P1(f329(f317(f916(a1,a1),a53),f329(f329(f257(a1,a1),x90532),x90533)))
% 192.24/192.22 [9054]P1(f329(f329(x90541,x90542),x90543))+P1(f329(f317(f916(a1,a1),a59),f329(f329(f257(a1,a1),f492(x90541,x90543,x90542)),f493(x90541,x90543,x90542))))+~P1(f329(f317(f916(a1,a1),a59),f329(f329(f257(a1,a1),x90542),x90543)))
% 192.24/192.22 [9055]P1(f329(f329(x90551,x90552),x90553))+P1(f329(f317(f916(a1,a1),a225),f329(f329(f257(a1,a1),f494(x90551,x90553,x90552)),f495(x90551,x90553,x90552))))+~P1(f329(f317(f916(a1,a1),a225),f329(f329(f257(a1,a1),x90552),x90553)))
% 192.24/192.22 [9056]P1(f329(f329(x90561,x90562),x90563))+P1(f329(f317(f916(a1,a1),a185),f329(f329(f257(a1,a1),f696(x90561,x90563,x90562)),f698(x90561,x90563,x90562))))+~P1(f329(f317(f916(a1,a1),a185),f329(f329(f257(a1,a1),x90562),x90563)))
% 192.24/192.22 [9057]P1(f329(f329(x90571,x90572),x90573))+P1(f329(f317(f916(a1,a1),a136),f329(f329(f257(a1,a1),f798(x90571,x90573,x90572)),f799(x90571,x90573,x90572))))+~P1(f329(f317(f916(a1,a1),a136),f329(f329(f257(a1,a1),x90572),x90573)))
% 192.24/192.22 [9399]~P1(f329(f62(x93991),x93993))+P1(f329(f329(f331(f916(f917(x93991,a904),f917(x93991,a904))),f329(f329(f257(f917(x93991,a904),f917(x93991,a904)),x93992),x93993)),f316(x93991)))+~P1(f329(f329(f240(f917(x93991,a904)),x93992),x93993))
% 192.24/192.22 [9472]~P68(x94721,f329(x94723,f577(x94722,x94723,x94721)))+P68(x94721,f329(f329(f40(x94722,f917(x94721,f917(x94721,a904))),f247(f917(x94722,a904))),x94723))+~E(f329(f329(f106(f917(x94721,a904)),f254(x94721,x94721,f329(x94723,f576(x94722,x94723,x94721)))),f255(x94721,x94721,f329(x94723,f578(x94722,x94723,x94721)))),f191(f917(x94721,a904)))
% 192.24/192.22 [9672]P61(x96721,x96722,x96723)+P1(f329(f329(f331(f916(x96721,x96721)),f564(x96723,x96722,x96721)),x96723))+~P1(f329(f329(f331(f916(x96721,x96721)),f329(f329(f257(x96721,x96721),f563(x96723,x96722,x96721)),f563(x96723,x96722,x96721))),x96723))
% 192.24/192.22 [10252]P61(x102521,x102522,x102523)+~P1(f329(f329(f262(x102521,x102521,a904),f329(f329(f7(x102521,f917(x102521,a904),f917(x102521,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x102521,a904),f917(x102521,a904)),x102521),f8(a904,a904,x102521)),f329(f329(f8(a904,f917(a904,a904),x102521),a327),f329(f329(f7(x102521,f917(x102521,a904),a904),f331(x102521)),x102522)))),f329(f329(f7(x102521,f917(x102521,a904),a904),f331(x102521)),x102522))),f564(x102523,x102522,x102521)))+~P1(f329(f329(f331(f916(x102521,x102521)),f329(f329(f257(x102521,x102521),f563(x102523,x102522,x102521)),f563(x102523,x102522,x102521))),x102523))
% 192.24/192.22 [5762]~P9(x57622)+E(x57621,f2(x57622))+E(f329(f329(f37(x57622),f329(f329(f83(x57622),x57623),x57621)),x57621),x57623)
% 192.24/192.22 [5763]~P9(x57632)+E(x57631,f2(x57632))+E(f329(f329(f37(x57632),f329(f329(f83(x57632),x57631),x57633)),x57631),x57633)
% 192.24/192.22 [6568]~P77(x65681)+~E(f329(x65682,f2(a909)),f2(x65681))+E(f329(f329(f6(a909,x65681),x65682),f329(f304(a909,f329(a117,f2(a909))),x65683)),f329(f329(f6(a909,x65681),x65682),f329(f304(a909,f2(a909)),x65683)))
% 192.24/192.22 [6701]~P9(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)))
% 192.24/192.22 [6702]~P9(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)))
% 192.24/192.22 [6918]~P1(f329(x69183,f2(a1)))+P1(f329(f329(f239(a909),x69181),x69182))+P1(f329(x69183,f329(f105(a1),f329(f329(f23(a909),x69182),x69181))))
% 192.24/192.22 [7019]P1(f329(f329(f239(a909),x70192),x70191))+P1(f329(f329(f240(a909),x70191),x70192))+P1(f329(x70193,f329(f105(a1),f329(f329(f23(a909),x70191),x70192))))
% 192.24/192.22 [7092]E(f329(f329(f82(a909),f329(f108(a909),x70921)),f329(f329(f82(a909),f329(f108(a909),x70922)),x70923)),f329(f329(f82(a909),f329(f108(a909),x70921)),x70923))+P1(f329(a196,f329(f108(a1),x70921)))+~P1(f329(a196,f329(f108(a1),x70922)))
% 192.24/192.22 [7170]~E(x71702,f329(f329(f37(a909),x71703),x71701))+~P1(f329(f329(f240(a909),f2(a909)),x71701))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x71701),x71702)),x71703))
% 192.24/192.22 [7283]~P1(f329(f62(x72831),x72833))+~P1(f329(f62(x72831),x72832))+P1(f329(f62(x72831),f329(f329(f115(f917(x72831,a904)),x72832),x72833)))
% 192.24/192.22 [7333]~P45(x73331,x73333)+~P45(x73331,x73332)+P45(x73331,f329(f329(f106(f917(f916(x73331,x73331),a904)),x73332),x73333))
% 192.24/192.22 [7334]~P60(x73341,x73343)+~P60(x73341,x73342)+P60(x73341,f329(f329(f115(f917(f916(x73341,x73341),a904)),x73342),x73343))
% 192.24/192.22 [7335]~P60(x73351,x73353)+~P60(x73351,x73352)+P60(x73351,f329(f329(f106(f917(f916(x73351,x73351),a904)),x73352),x73353))
% 192.24/192.22 [7592]~P112(x75921)+~P1(f329(f62(x75921),x75922))+E(f142(x75921,f329(f329(f23(f917(x75921,a904)),x75922),f329(f329(f311(x75921),x75923),f191(f917(x75921,a904))))),f173(x75921,x75923,f142(x75921,x75922)))
% 192.24/192.22 [7653]P1(f329(x76531,f2(a1)))+~P1(f329(f329(f240(a909),x76532),x76533))+~P1(f329(x76531,f329(f105(a1),f329(f329(f23(a909),x76532),x76533))))
% 192.24/192.22 [7671]~P1(f329(f62(x76711),x76712))+E(f329(f36(x76711),f329(f329(f23(f917(x76711,a904)),x76712),f329(f329(f311(x76711),x76713),f191(f917(x76711,a904))))),f329(f36(x76711),x76712))+P1(f329(f329(f331(x76711),x76713),x76712))
% 192.24/192.22 [7803]~P126(x78031)+~P1(f329(f329(f240(x78031),f80(x78031)),x78032))+P1(f329(f329(f240(x78031),f80(x78031)),f329(f329(f83(x78031),x78032),f329(f329(f249(x78031),x78032),x78033))))
% 192.24/192.22 [7846]~P1(f329(f62(x78461),x78463))+E(f329(f329(f23(a909),f329(f36(x78461),x78462)),f329(f36(x78461),x78463)),f329(f36(x78461),f329(f329(f23(f917(x78461,a904)),x78462),x78463)))+~P1(f329(f329(f239(f917(x78461,a904)),x78463),x78462))
% 192.24/192.22 [7905]~P1(f329(f329(f239(a909),x79052),x79053))+~P1(f329(f329(f239(a909),x79051),f329(f329(f23(a909),x79053),x79052)))+P1(f329(f329(f239(a909),f329(f329(f82(a909),x79051),x79052)),x79053))
% 192.24/192.22 [7964]P1(f329(f62(x79641),x79642))+~P1(f329(f62(x79641),x79643))+~P1(f329(f62(x79641),f329(f329(f23(f917(x79641,a904)),x79642),x79643)))
% 192.24/192.22 [7970]~P1(f329(f62(x79701),x79702))+E(f329(f36(x79701),f329(f329(f23(f917(x79701,a904)),x79702),f329(f329(f311(x79701),x79703),f191(f917(x79701,a904))))),f329(f329(f23(a909),f329(f36(x79701),x79702)),f80(a909)))+~P1(f329(f329(f331(x79701),x79703),x79702))
% 192.24/192.22 [8046]P68(x80461,x80462)+~P68(x80461,x80463)+~P1(f329(f329(f239(f917(x80461,f917(x80461,a904))),x80462),x80463))
% 192.24/192.22 [8087]~P1(f329(f329(f239(a909),x80873),x80872))+P1(f329(f329(f239(a909),x80871),f329(f329(f23(a909),x80872),x80873)))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),x80871),x80873)),x80872))
% 192.24/192.22 [8107]P44(x81071,x81072)+~P44(x81071,x81073)+~P1(f329(f329(f239(f917(f916(x81071,x81071),a904)),x81072),x81073))
% 192.24/192.22 [8108]P66(x81081,x81082)+~P66(x81081,x81083)+~P1(f329(f329(f239(f917(f916(x81081,x81081),a904)),x81082),x81083))
% 192.24/192.22 [8109]P46(x81091,x81092)+~P46(x81091,x81093)+~P1(f329(f329(f239(f917(f916(x81091,x81091),a904)),x81092),x81093))
% 192.24/192.22 [8350]~P126(x83501)+~P1(f329(f329(f240(x83501),f80(x83501)),x83502))+P1(f329(f329(f240(x83501),f329(f329(f249(x83501),x83502),x83503)),f329(f329(f83(x83501),x83502),f329(f329(f249(x83501),x83502),x83503))))
% 192.24/192.22 [8443]~P1(f329(x84431,f2(a1)))+~P1(f329(x84431,f329(f329(f23(a1),f329(f105(a1),x84432)),f329(f105(a1),x84433))))+P1(f329(x84431,f329(f105(a1),f329(f329(f23(a909),x84432),x84433))))
% 192.24/192.22 [8456]~P1(f329(f329(f239(a909),x84563),x84562))+P1(f329(x84561,f329(f329(f23(a1),f329(f105(a1),x84562)),f329(f105(a1),x84563))))+~P1(f329(x84561,f329(f105(a1),f329(f329(f23(a909),x84562),x84563))))
% 192.24/192.22 [8475]P1(f329(f329(f240(a909),x84751),x84752))+~P1(f329(x84753,f329(f329(f23(a1),f329(f105(a1),x84751)),f329(f105(a1),x84752))))+P1(f329(x84753,f329(f105(a1),f329(f329(f23(a909),x84751),x84752))))
% 192.24/192.22 [8528]~P128(x85282)+E(x85281,f2(x85282))+P1(f329(f329(f240(x85282),f2(x85282)),f329(f329(f82(x85282),f329(f329(f83(x85282),x85283),x85283)),f329(f329(f83(x85282),x85281),x85281))))
% 192.24/192.22 [8529]~P128(x85292)+E(x85291,f2(x85292))+P1(f329(f329(f240(x85292),f2(x85292)),f329(f329(f82(x85292),f329(f329(f83(x85292),x85291),x85291)),f329(f329(f83(x85292),x85293),x85293))))
% 192.24/192.22 [8642]~P1(f329(f329(f240(a909),f2(a909)),x86421))+~P1(f329(f329(f240(a1),x86422),x86423))+P1(f329(f329(f240(a1),f329(f329(f83(a1),f329(f105(a1),x86421)),x86422)),f329(f329(f83(a1),f329(f105(a1),x86421)),x86423)))
% 192.24/192.22 [8699]E(f329(f329(f106(f917(x86991,a904)),x86992),f38(f917(x86991,a904),x86993)),f191(f917(x86991,a904)))+P1(f329(f329(f331(f917(x86991,a904)),x86992),x86993))+P1(f329(f329(f331(f917(x86991,a904)),f644(x86993,x86992,x86991)),f329(f329(f311(f917(x86991,a904)),x86992),x86993)))
% 192.24/192.22 [8700]E(f329(f329(f106(f917(x87001,a904)),x87002),f38(f917(x87001,a904),x87003)),f191(f917(x87001,a904)))+P1(f329(f329(f331(f917(x87001,a904)),x87002),x87003))+P1(f329(f329(f331(f917(x87001,a904)),f643(x87003,x87002,x87001)),f329(f329(f311(f917(x87001,a904)),x87002),x87003)))
% 192.24/192.22 [8728]E(x87281,x87282)+~E(f329(f192(f910(x87283)),x87281),f329(f192(f910(x87283)),x87282))+P1(f329(f329(f331(f916(x87283,x87283)),f687(x87283,x87281,x87282)),f329(f175(f916(x87283,x87283)),f329(f329(f184(x87283,x87283),x87282),x87281))))
% 192.24/192.22 [8961]E(f309(x89611,x89612),f309(x89611,x89613))+~P1(f329(f329(f239(f917(f916(x89611,x89611),a904)),x89613),f309(x89611,x89612)))+~P1(f329(f329(f239(f917(f916(x89611,x89611),a904)),x89612),x89613))
% 192.24/192.22 [9028]~P61(x90281,f247(f917(x90281,a904)),x90283)+P1(f329(f329(f239(f917(f916(f910(x90281),f910(x90281)),a904)),f160(x90281,x90282)),f161(x90281,x90283)))+~P1(f329(f329(f239(f917(f916(x90281,x90281),a904)),x90282),x90283))
% 192.24/192.22 [9230]P44(x92301,x92302)+~P1(f329(f329(f331(x92301),x92303),f610(x92302,x92301)))+P1(f329(f329(f331(f916(x92301,x92301)),f329(f329(f257(x92301,x92301),f661(x92302,x92301,x92303)),x92303)),x92302))
% 192.24/192.22 [9272]~P1(f329(f62(x92721),x92722))+P1(f329(f62(f917(x92721,a904)),f329(f329(f61(x92721),x92722),x92723)))+~P1(f329(f329(f239(f917(f916(x92721,x92721),a904)),x92723),f329(f329(f259(x92721,x92721),x92722),f329(f16(f917(x92721,a904),x92721),x92722))))
% 192.24/192.22 [9311]P61(x93111,x93112,x93113)+P1(f329(f329(f331(x93111),f558(x93113,x93112,x93111)),x93112))+~P1(f329(f329(f239(f917(f916(x93111,x93111),a904)),x93113),f329(f329(f259(x93111,x93111),x93112),f329(f16(f917(x93111,a904),x93111),x93112))))
% 192.24/192.22 [9312]P61(x93121,x93122,x93123)+P1(f329(f329(f331(x93121),f562(x93122,x93123,x93121)),x93122))+~P1(f329(f329(f239(f917(f916(x93121,x93121),a904)),x93123),f329(f329(f259(x93121,x93121),x93122),f329(f16(f917(x93121,a904),x93121),x93122))))
% 192.24/192.22 [9345]~P73(x93451)+~P1(f329(f329(f240(x93451),x93452),x93453))+P1(f329(f329(f240(x93451),f329(f329(f292(x93451),f329(f329(f82(x93451),x93452),x93453)),f329(f329(f82(x93451),f80(x93451)),f80(x93451)))),x93453))
% 192.24/192.22 [9372]~P72(x93721)+P1(f329(f329(f239(x93721),x93722),x93723))+~P1(f329(f329(f239(x93721),f329(f329(f83(x93721),f406(x93723,x93722,x93721)),x93722)),x93723))
% 192.24/192.22 [9506]E(f329(f192(f910(f910(x95061))),f329(f139(f910(x95061),f329(f329(f8(a909,a904,f910(x95061)),f329(f240(a909),x95062)),f192(f910(x95061)))),f182(x95061,x95063))),f329(f192(f910(x95061)),f329(f329(f167(f910(x95061)),x95063),x95062)))+~P19(a909,f329(f171(a909),f329(f329(f157(f910(x95061),a909),f192(f910(x95061))),x95063)))+~P1(f329(f329(f240(a909),x95062),f329(f192(f910(f910(x95061))),x95063)))
% 192.24/192.22 [9621]~P44(x96211,x96212)+P33(x96211,f329(f329(f257(f917(f916(x96211,x96211),a904),f917(f916(x96211,x96211),a904)),x96212),x96213))+~P1(f329(f329(f239(f917(f916(x96211,x96211),a904)),f329(f329(f291(x96211,x96211,x96211),x96212),x96213)),x96212))
% 192.24/192.22 [9627]E(f329(f329(f157(f910(x96271),x96271),f329(f329(f7(f910(x96271),a909,x96271),f167(x96271)),x96272)),f329(f139(f910(x96271),f329(f329(f8(a909,a904,f910(x96271)),f329(f240(a909),x96272)),f192(f910(x96271)))),f182(x96271,x96273))),f329(f329(f167(f910(x96271)),x96273),x96272))+~P19(a909,f329(f171(a909),f329(f329(f157(f910(x96271),a909),f192(f910(x96271))),x96273)))+~P1(f329(f329(f240(a909),x96272),f329(f192(f910(f910(x96271))),x96273)))
% 192.24/192.22 [9762]P61(x97621,x97622,x97623)+~P1(f329(f329(f331(f916(x97621,x97621)),f329(f329(f257(x97621,x97621),f558(x97623,x97622,x97621)),f558(x97623,x97622,x97621))),x97623))+~P1(f329(f329(f239(f917(f916(x97621,x97621),a904)),x97623),f329(f329(f259(x97621,x97621),x97622),f329(f16(f917(x97621,a904),x97621),x97622))))
% 192.24/192.22 [9763]P61(x97631,x97632,x97633)+~P1(f329(f329(f331(f916(x97631,x97631)),f329(f329(f257(x97631,x97631),f562(x97632,x97633,x97631)),f562(x97632,x97633,x97631))),x97633))+~P1(f329(f329(f239(f917(f916(x97631,x97631),a904)),x97633),f329(f329(f259(x97631,x97631),x97632),f329(f16(f917(x97631,a904),x97631),x97632))))
% 192.24/192.22 [9933]~P129(x99331)+~P125(x99331)+E(f329(f329(f292(x99331),f329(f107(x99331),f329(f329(f74(f916(a1,a1),a1,x99332,f256(a1,a1)),f216(x99332)),x99333))),f329(f107(x99331),f329(f329(f74(f916(a1,a1),a1,x99332,f261(a1,a1)),f216(x99332)),x99333))),f226(x99332,x99331,x99333))
% 192.24/192.22 [10124]~E(x101243,f2(a909))+~E(f329(f192(f910(x101241)),f329(f329(f167(f910(x101241)),x101242),f734(x101243,x101241,x101242))),x101243)+E(f329(f329(f157(a909,f910(x101241)),f329(f329(f7(a909,f910(a909),f910(x101241)),f329(f329(f8(f917(a909,x101241),f917(f910(a909),f910(x101241)),a909),f157(a909,x101241)),f329(f7(a909,a909,x101241),f329(f329(f8(f910(x101241),f917(a909,x101241),a909),f167(x101241)),f329(f167(f910(x101241)),x101242))))),f142(a909,f329(f304(a909,f2(a909)),f329(f192(f910(f910(x101241))),x101242))))),f142(a909,f329(f304(a909,f2(a909)),x101243))),f182(x101241,x101242))
% 192.24/192.22 [10125]E(x101251,f118(f910(x101252)))+~E(f329(f192(f910(x101252)),f329(f329(f167(f910(x101252)),x101251),f734(x101253,x101252,x101251))),x101253)+E(f329(f329(f157(a909,f910(x101252)),f329(f329(f7(a909,f910(a909),f910(x101252)),f329(f329(f8(f917(a909,x101252),f917(f910(a909),f910(x101252)),a909),f157(a909,x101252)),f329(f7(a909,a909,x101252),f329(f329(f8(f910(x101252),f917(a909,x101252),a909),f167(x101252)),f329(f167(f910(x101252)),x101251))))),f142(a909,f329(f304(a909,f2(a909)),f329(f192(f910(f910(x101252))),x101251))))),f142(a909,f329(f304(a909,f2(a909)),x101253))),f182(x101252,x101251))
% 192.24/192.22 [10126]~E(x101263,f2(a909))+E(f329(f329(f157(a909,f910(x101261)),f329(f329(f7(a909,f910(a909),f910(x101261)),f329(f329(f8(f917(a909,x101261),f917(f910(a909),f910(x101261)),a909),f157(a909,x101261)),f329(f7(a909,a909,x101261),f329(f329(f8(f910(x101261),f917(a909,x101261),a909),f167(x101261)),f329(f167(f910(x101261)),x101262))))),f142(a909,f329(f304(a909,f2(a909)),f329(f192(f910(f910(x101261))),x101262))))),f142(a909,f329(f304(a909,f2(a909)),x101263))),f182(x101261,x101262))+P1(f329(f329(f240(a909),f734(x101263,x101261,x101262)),f329(f192(f910(f910(x101261))),x101262)))
% 192.24/192.22 [10127]E(x101271,f118(f910(x101272)))+E(f329(f329(f157(a909,f910(x101272)),f329(f329(f7(a909,f910(a909),f910(x101272)),f329(f329(f8(f917(a909,x101272),f917(f910(a909),f910(x101272)),a909),f157(a909,x101272)),f329(f7(a909,a909,x101272),f329(f329(f8(f910(x101272),f917(a909,x101272),a909),f167(x101272)),f329(f167(f910(x101272)),x101271))))),f142(a909,f329(f304(a909,f2(a909)),f329(f192(f910(f910(x101272))),x101271))))),f142(a909,f329(f304(a909,f2(a909)),x101273))),f182(x101272,x101271))+P1(f329(f329(f240(a909),f734(x101273,x101272,x101271)),f329(f192(f910(f910(x101272))),x101271)))
% 192.24/192.22 [7843]E(f329(f329(f82(a909),f329(f108(a909),x78431)),f329(f329(f82(a909),f329(f108(a909),x78432)),x78433)),f329(f329(f82(a909),f329(f108(a909),f329(f329(f82(a1),x78431),x78432))),x78433))+P1(f329(a196,f329(f108(a1),x78431)))+P1(f329(a196,f329(f108(a1),x78432)))
% 192.24/192.22 [8634]~P1(f329(f62(x86341),x86342))+~P1(f329(f329(f331(x86341),x86343),x86342))+E(f329(a117,f329(f36(x86341),f329(f329(f23(f917(x86341,a904)),x86342),f329(f329(f311(x86341),x86343),f191(f917(x86341,a904)))))),f329(f36(x86341),x86342))
% 192.24/192.22 [8652]~P1(f329(f62(x86521),x86522))+~P1(f329(f329(f331(x86521),x86523),x86522))+E(f329(f329(f82(a909),f80(a909)),f329(f36(x86521),f329(f329(f23(f917(x86521,a904)),x86522),f329(f329(f311(x86521),x86523),f191(f917(x86521,a904)))))),f329(f36(x86521),x86522))
% 192.24/192.22 [8737]~P112(x87371)+~P1(f329(f62(x87371),x87373))+E(f329(f329(f151(x87371,x87371,f5(x87371)),x87372),f142(x87371,f329(f329(f23(f917(x87371,a904)),x87373),f329(f329(f311(x87371),x87372),f191(f917(x87371,a904)))))),f142(x87371,f329(f329(f311(x87371),x87372),x87373)))
% 192.24/192.22 [8888]~P1(f329(f62(x88881),x88883))+~P1(f329(f62(x88881),x88882))+E(f329(f329(f82(a909),f329(f36(x88881),f329(f329(f115(f917(x88881,a904)),x88882),x88883))),f329(f36(x88881),f329(f329(f106(f917(x88881,a904)),x88882),x88883))),f329(f329(f82(a909),f329(f36(x88881),x88882)),f329(f36(x88881),x88883)))
% 192.24/192.22 [10073]~P31(x100731,f917(f917(x100731,a904),a904),f329(f329(f7(x100731,f917(f916(x100731,x100731),a904),f917(f917(x100731,a904),a904)),f329(f329(f8(f917(x100731,a904),f917(f917(f916(x100731,x100731),a904),f917(f917(x100731,a904),a904)),x100731),f61(x100731)),f329(f329(f7(x100731,f917(x100731,a904),f917(x100731,a904)),f311(x100731)),f191(f917(x100731,a904))))),x100733),x100732)+~P1(f329(f62(x100731),x100732))+E(f329(f36(f917(x100731,a904)),f329(f329(f61(x100731),x100732),x100733)),f329(f36(x100731),x100732))
% 192.24/192.22 [10359]~P47(f917(x103591,a904),f917(x103591,a904),x103592)+~P1(f329(f329(f239(f917(x103591,a904)),x103593),f329(x103592,f100(f917(x103591,a904),f329(f329(f7(f917(x103591,a904),f917(x103591,a904),f917(x103591,a904)),f329(f329(f8(f917(x103591,a904),f917(f917(x103591,a904),f917(x103591,a904)),f917(x103591,a904)),f115(f917(x103591,a904))),f329(f329(f7(f917(x103591,a904),f917(x103591,a904),f917(x103591,a904)),f329(f329(f8(f917(x103591,a904),f917(f917(x103591,a904),f917(x103591,a904)),f917(x103591,a904)),f115(f917(x103591,a904))),x103592)),x103593))),f101(f917(x103591,a904),x103592))))))+P1(f329(f329(f239(f917(x103591,a904)),f100(f917(x103591,a904),f329(f329(f7(f917(x103591,a904),f917(x103591,a904),f917(x103591,a904)),f329(f329(f8(f917(x103591,a904),f917(f917(x103591,a904),f917(x103591,a904)),f917(x103591,a904)),f115(f917(x103591,a904))),f329(f329(f7(f917(x103591,a904),f917(x103591,a904),f917(x103591,a904)),f329(f329(f8(f917(x103591,a904),f917(f917(x103591,a904),f917(x103591,a904)),f917(x103591,a904)),f115(f917(x103591,a904))),x103592)),x103593))),f101(f917(x103591,a904),x103592)))),f329(x103592,f100(f917(x103591,a904),f329(f329(f7(f917(x103591,a904),f917(x103591,a904),f917(x103591,a904)),f329(f329(f8(f917(x103591,a904),f917(f917(x103591,a904),f917(x103591,a904)),f917(x103591,a904)),f115(f917(x103591,a904))),f329(f329(f7(f917(x103591,a904),f917(x103591,a904),f917(x103591,a904)),f329(f329(f8(f917(x103591,a904),f917(f917(x103591,a904),f917(x103591,a904)),f917(x103591,a904)),f115(f917(x103591,a904))),x103592)),x103593))),f101(f917(x103591,a904),x103592))))))
% 192.24/192.22 [8124]~P96(x81241)+P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x81243)))+E(f329(f329(f249(x81241),x81242),f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),x81243),x81243)),a102))),f80(x81241))
% 192.24/192.22 [9605]~P96(x96051)+~P1(f329(f329(f239(a1),f2(a1)),f329(f108(a1),x96053)))+E(f329(f329(f249(x96051),x96052),f329(f108(a909),f329(f329(f23(a1),f329(f329(f82(a1),x96053),x96053)),a102))),f329(f329(f88(x96051,x96051),f329(f329(f249(x96051),x96052),f329(f108(a909),x96053))),f329(f329(f18(x96051,x96051,x96051),f329(f329(f8(x96051,f917(x96051,x96051),x96051),f83(x96051)),f329(f83(x96051),x96052))),f5(x96051))))
% 192.24/192.22 [9992]~P1(f329(f140(x99921),x99923))+~P1(f329(f329(f331(x99921),x99922),f329(f175(x99921),x99923)))+E(f329(f329(f141(x99921),f329(f192(f910(x99921)),f180(x99921,f329(f329(f8(a904,a904,x99921),a324),f329(f329(f7(x99921,x99921,a904),a326),x99922)),f329(f171(x99921),x99923)))),f329(f171(x99921),x99923)),f329(f329(f154(x99921),x99922),f329(f171(x99921),f180(x99921,f329(f329(f8(a904,a904,x99921),a324),f329(f329(f7(x99921,x99921,a904),a326),x99922)),x99923))))
% 192.24/192.22 [10054]P1(f329(f329(f239(f917(f916(x100541,x100541),a904)),f309(x100541,x100542)),x100543))+~P1(f329(f329(f239(f917(f916(x100541,x100541),a904)),f309(x100541,f191(f917(f916(x100541,x100541),a904)))),x100543))+~P1(f329(f329(f239(f917(f916(x100541,x100541),a904)),f329(f329(f291(x100541,x100541,x100541),f329(f329(f106(f917(f916(x100541,x100541),a904)),f309(x100541,x100542)),x100543)),x100542)),x100543))
% 192.24/192.22 [9912]~P1(f329(f62(x99121),f329(f267(x99121),x99123)))+~P1(f329(f62(x99121),f329(f267(x99121),x99122)))+P1(f329(f62(x99121),f329(f267(x99121),f329(f329(f18(x99121,a904,a904),f329(f329(f8(a904,f917(a904,a904),x99121),a328),x99122)),x99123))))
% 192.24/192.22 [10186]P1(f329(f329(f239(f917(f916(x101861,x101861),a904)),f329(f329(f291(x101861,x101861,x101861),x101862),f309(x101861,x101862))),x101863))+~P1(f329(f329(f239(f917(f916(x101861,x101861),a904)),x101862),x101863))+~P1(f329(f329(f239(f917(f916(x101861,x101861),a904)),f329(f329(f291(x101861,x101861,x101861),f329(f329(f106(f917(f916(x101861,x101861),a904)),f329(f329(f291(x101861,x101861,x101861),x101862),f309(x101861,x101862))),x101863)),x101862)),x101863))
% 192.24/192.22 [10140]~P120(x101402)+E(x101401,f2(x101402))+~E(f329(f329(f82(x101402),f329(f329(f249(x101402),x101403),f329(f108(a909),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),x101401),f329(f108(a909),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))
% 192.24/192.22 [10141]~P120(x101412)+E(x101411,f2(x101412))+~E(f329(f329(f82(x101412),f329(f329(f249(x101412),x101411),f329(f108(a909),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(x101412),x101413),f329(f108(a909),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(x101412))
% 192.24/192.22 [10146]~P1(f329(f140(x101461),x101463))+~P1(f329(f329(f331(x101461),x101462),f329(f175(x101461),x101463)))+E(f329(f171(x101461),f329(f174(x101461),f329(f329(f141(x101461),f329(f192(f910(x101461)),f180(x101461,f329(f329(f8(a904,a904,x101461),a324),f329(f329(f7(x101461,x101461,a904),a326),x101462)),x101463))),x101463))),f180(x101461,f329(f329(f8(a904,a904,x101461),a324),f329(f329(f7(x101461,x101461,a904),a326),x101462)),f329(f171(x101461),x101463)))
% 192.24/192.22 [10234]~P120(x102342)+E(x102341,f2(x102342))+P1(f329(f329(f240(x102342),f2(x102342)),f329(f329(f82(x102342),f329(f329(f249(x102342),x102343),f329(f108(a909),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),x102341),f329(f108(a909),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)))))))
% 192.24/192.22 [10235]~P120(x102352)+E(x102351,f2(x102352))+P1(f329(f329(f240(x102352),f2(x102352)),f329(f329(f82(x102352),f329(f329(f249(x102352),x102351),f329(f108(a909),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(x102352),x102353),f329(f108(a909),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)))))))
% 192.24/192.22 [10287]~P120(x102871)+P1(f329(f329(f239(x102871),f2(x102871)),x102872))+~P1(f329(f329(f239(x102871),f2(x102871)),f329(f329(f249(x102871),x102872),f329(a117,f329(f329(f83(a909),f329(f108(a909),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)))),x102873)))))
% 192.24/192.22 [5596]~P30(x55961,x55964,x55963)+P30(x55961,x55962,x55963)+~P30(x55961,x55962,x55964)
% 192.24/192.22 [5061]~E(x50612,f92(x50613,x50611))+P1(f329(x50611,x50612))+~P1(f329(x50611,x50614))
% 192.24/192.22 [5310]E(f69(x53103,x53102,x53104),x53102)+E(x53101,f779(x53102,x53103,x53104))+~P1(f329(x53104,x53101))
% 192.24/192.22 [6624]E(f69(x66241,x66242,x66243),f87(x66241,x66243))+~E(f801(x66242,x66241,x66243,x66244),x66244)+~P1(f329(x66243,x66244))
% 192.24/192.22 [6831]~P44(x68312,x68314)+~P44(x68311,x68313)+P44(f916(x68311,x68312),f321(x68311,x68312,x68313,x68314))
% 192.24/192.22 [6832]~P45(x68322,x68324)+~P45(x68321,x68323)+P45(f916(x68321,x68322),f321(x68321,x68322,x68323,x68324))
% 192.24/192.22 [8203]~P49(f31(x82034,x82031),x82032,x82033,x82032)+P49(x82031,x82032,x82033,f542(x82033,x82032,x82031,x82034))+~P1(f329(x82034,x82032))
% 192.24/192.22 [8232]~P49(f31(x82321,x82322),x82324,x82323,x82324)+P49(f31(x82321,x82322),f542(x82323,x82324,x82322,x82321),x82323,x82324)+~P1(f329(x82321,x82324))
% 192.24/192.22 [5249]~P13(x52494,x52491)+~E(f329(x52491,x52492),f329(x52491,x52493))+P1(f329(f329(x52491,x52492),x52493))
% 192.24/192.22 [5413]~P13(x54134,x54131)+E(f329(x54131,x54132),f329(x54131,x54133))+~P1(f329(f329(x54131,x54132),x54133))
% 192.24/192.22 [5414]~P21(x54144,x54141)+E(f329(x54141,x54142),f329(x54141,x54143))+~P1(f329(f329(x54141,x54142),x54143))
% 192.24/192.22 [5505]~P24(x55053,x55054,x55051)+E(f329(x55051,x55052),f329(f64(x55053,x55054),x55052))+~P1(f329(f62(x55053),x55052))
% 192.24/192.22 [5506]~P15(x55063,x55064,x55061)+E(f329(x55061,x55062),f329(f64(x55063,x55064),x55062))+~P1(f329(f62(x55063),x55062))
% 192.24/192.22 [5629]~P13(x56294,x56291)+~P1(f329(f329(x56291,x56293),x56292))+P1(f329(f329(x56291,x56292),x56293))
% 192.24/192.22 [5630]~P59(x56304,x56301)+~P1(f329(f329(x56301,x56303),x56302))+P1(f329(f329(x56301,x56302),x56303))
% 192.24/192.22 [5631]~P21(x56314,x56311)+~P1(f329(f329(x56311,x56313),x56312))+P1(f329(f329(x56311,x56312),x56313))
% 192.24/192.22 [5632]~P21(x56323,x56321)+P1(f329(f329(x56321,x56322),x56322))+~P1(f329(f329(x56321,x56324),x56322))
% 192.24/192.22 [5633]~P21(x56333,x56331)+P1(f329(f329(x56331,x56332),x56332))+~P1(f329(f329(x56331,x56332),x56334))
% 192.24/192.22 [5703]E(x57031,x57032)+~E(f329(f256(x57033,x57034),x57031),f329(f256(x57033,x57034),x57032))+~E(f329(f261(x57033,x57034),x57031),f329(f261(x57033,x57034),x57032))
% 192.24/192.22 [5730]E(x57301,x57302)+~P1(f329(f49(x57303,x57304),x57302))+~P1(f329(f49(x57303,x57304),x57301))
% 192.24/192.22 [5921]~P77(x59212)+E(f235(x59211,x59212,x59213,x59214),f2(x59212))+P1(f329(f62(x59211),x59214))
% 192.24/192.22 [6063]~P1(f329(f317(x60631,x60632),x60634))+P1(f329(f317(x60631,x60632),x60633))+~P1(f329(f329(x60632,x60633),x60634))
% 192.24/192.22 [6865]~P37(x68651,x68653,x68654)+P1(f329(x68651,x68652))+~P1(f329(f329(f331(a1),x68652),f305(a1,x68653,x68654)))
% 192.24/192.22 [7959]E(x79591,f2(a909))+~P1(f329(x79592,x79593))+P1(f329(x79592,f796(x79592,x79593,x79591,x79594)))
% 192.24/192.22 [8041]~P112(x80412)+~P1(f329(f140(x80411),x80414))+P1(f329(f140(x80411),f153(x80411,x80412,x80413,x80414)))
% 192.24/192.22 [8086]E(f69(x80861,x80862,x80863),f87(x80861,x80863))+~P1(f329(x80863,x80864))+P1(f329(x80863,f801(x80862,x80861,x80863,x80864)))
% 192.24/192.22 [8274]~P1(f329(f62(x82742),x82744))+~P1(f329(f62(x82741),x82743))+P1(f329(f62(f915(x82741,x82742)),f315(x82741,x82742,x82743,x82744)))
% 192.24/192.22 [8275]~P1(f329(f140(x82752),x82754))+~P1(f329(f140(x82751),x82753))+P1(f329(f140(f916(x82751,x82752)),f60(x82751,x82752,x82753,x82754)))
% 192.24/192.22 [8278]P1(f329(f329(f331(f910(x82781)),f329(f329(f137(x82781),x82782),x82783)),f164(x82781,x82784)))+~P1(f329(f329(f331(f910(x82781)),x82783),f164(x82781,x82784)))+~P1(f329(f329(f331(f910(x82781)),x82782),f164(x82781,x82784)))
% 192.24/192.22 [8561]E(x85611,f2(a909))+P1(f329(x85612,x85613))+~P1(f329(x85612,f797(x85612,x85613,x85611,x85614)))
% 192.24/192.22 [8607]~P112(x86073)+~P1(f329(f140(x86071),f153(x86071,x86073,x86074,x86072)))+P1(f329(f140(x86071),x86072))
% 192.24/192.22 [8879]~P1(f329(f329(f331(f916(x88791,x88791)),f329(f329(f257(x88791,x88791),x88792),x88794)),f309(x88791,x88793)))+P1(f329(f329(f331(x88791),x88792),f318(x88791,x88793)))+~P1(f329(f329(f331(x88791),x88794),f318(x88791,x88793)))
% 192.24/192.22 [5231]~P77(x52312)+E(f329(f329(f6(x52311,x52312),x52313),x52314),f2(x52312))+P1(f329(f62(x52311),x52314))
% 192.24/192.22 [5234]~P80(x52342)+E(f329(f329(f9(x52341,x52342),x52343),x52344),f80(x52342))+P1(f329(f62(x52341),x52344))
% 192.24/192.22 [5377]~P5(x53773)+E(x53771,x53772)+~E(f329(f329(f82(x53773),x53774),x53771),f329(f329(f82(x53773),x53774),x53772))
% 192.24/192.22 [5378]~P6(x53783)+E(x53781,x53782)+~E(f329(f329(f82(x53783),x53784),x53781),f329(f329(f82(x53783),x53784),x53782))
% 192.24/192.22 [5380]~P5(x53803)+E(x53801,x53802)+~E(f329(f329(f82(x53803),x53801),x53804),f329(f329(f82(x53803),x53802),x53804))
% 192.24/192.22 [5501]~P11(x55013)+E(x55011,f191(f917(x55012,a904)))+E(f329(f329(f40(x55012,x55013),x55011),f329(f16(x55013,x55012),x55014)),x55014)
% 192.24/192.22 [5502]~P11(x55023)+E(x55021,f191(f917(x55022,a904)))+E(f329(f329(f41(x55022,x55023),x55021),f329(f16(x55023,x55022),x55024)),x55024)
% 192.24/192.22 [5716]~P113(x57163)+E(x57161,x57162)+~E(f305(x57163,x57164,x57161),f329(f329(f311(x57163),x57162),f191(f917(x57163,a904))))
% 192.24/192.22 [5717]~P113(x57173)+E(x57171,x57172)+~E(f305(x57173,x57171,x57172),f329(f329(f311(x57173),x57174),f191(f917(x57173,a904))))
% 192.24/192.22 [5778]~P42(x57783,x57781,x57784)+P42(x57783,x57781,f329(f329(f154(x57783),x57782),x57784))+P1(f329(x57781,x57782))
% 192.24/192.22 [5880]~P38(x58801,x58802,x58804)+~P1(f329(x58802,x58803))+P38(x58801,x58802,f329(f329(f154(x58801),x58803),x58804))
% 192.24/192.22 [6019]P1(f329(x60191,x60192))+~P1(f329(f253(x60193,x60191),x60194))+~P1(f329(f329(f331(x60193),x60192),x60194))
% 192.24/192.22 [6028]~P38(x60281,x60282,x60284)+~P38(x60281,x60282,x60283)+P38(x60281,x60282,f329(f329(f137(x60281),x60283),x60284))
% 192.24/192.22 [6041]P40(x60411,x60412,x60413)+~P40(x60411,x60412,f329(f329(f154(x60411),x60414),x60413))+P1(f329(x60412,x60414))
% 192.24/192.22 [6042]P42(x60421,x60422,x60423)+~P42(x60421,x60422,f329(f329(f154(x60421),x60424),x60423))+P1(f329(x60422,x60424))
% 192.24/192.22 [6053]E(x60531,x60532)+~P1(f329(f329(f197(x60533),x60534),x60532))+~P1(f329(f329(f197(x60533),x60534),x60531))
% 192.24/192.22 [6121]P40(x61211,x61212,x61213)+P40(x61211,x61212,x61214)+~P40(x61211,x61212,f329(f329(f137(x61211),x61214),x61213))
% 192.24/192.22 [6140]~P77(x61401)+E(f329(f329(f6(a909,x61401),x61402),f329(f304(a909,x61403),f329(a117,x61404))),f2(x61401))+~P1(f329(f329(f240(a909),x61404),x61403))
% 192.24/192.22 [6145]~P10(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))
% 192.24/192.22 [6215]P1(f329(x62151,x62152))+~E(f329(f139(x62153,x62151),x62154),x62154)+~P1(f329(f329(f331(x62153),x62152),f329(f175(x62153),x62154)))
% 192.24/192.22 [6234]~E(f329(f329(f82(a909),x62343),x62342),f329(f329(f82(a909),x62341),x62344))+~P1(f329(f329(f240(a909),x62343),x62344))+P1(f329(f329(f240(a909),x62341),x62342))
% 192.24/192.22 [6241]P40(x62411,x62412,x62413)+~P1(f329(x62412,x62414))+~P1(f329(f329(f331(x62411),x62414),f329(f175(x62411),x62413)))
% 192.24/192.22 [6279]~P38(x62793,x62791,x62794)+P1(f329(x62791,x62792))+~P1(f329(f329(f331(x62793),x62792),f329(f175(x62793),x62794)))
% 192.24/192.22 [6281]~E(f329(f139(x62811,x62812),x62813),f118(x62811))+~P1(f329(x62812,x62814))+~P1(f329(f329(f331(x62811),x62814),f329(f175(x62811),x62813)))
% 192.24/192.22 [6282]~E(f180(x62823,x62821,x62824),x62824)+P1(f329(x62821,x62822))+~P1(f329(f329(f331(x62823),x62822),f329(f175(x62823),x62824)))
% 192.24/192.22 [6308]~E(x63084,f191(f917(x63082,a904)))+~E(x63083,f191(f917(x63081,a904)))+E(f315(x63081,x63082,x63083,x63084),f191(f917(f915(x63081,x63082),a904)))
% 192.24/192.22 [6454]P1(f329(x64541,x64542))+~P1(f329(f163(x64543,x64541),x64544))+~P1(f329(f329(f331(x64543),x64542),f329(f175(x64543),x64544)))
% 192.24/192.22 [6729]~P77(x67291)+E(f329(f329(f6(a909,x67291),x67292),f305(a909,x67293,f329(a117,x67294))),f2(x67291))+~P1(f329(f329(f240(a909),f329(a117,x67294)),x67293))
% 192.24/192.22 [6868]~P112(x68681)+E(f329(f329(f23(f917(x68681,a904)),f329(f304(x68681,x68682),x68683)),f329(f304(x68681,x68682),x68684)),f329(f304(x68681,x68684),x68683))+~P1(f329(f329(f239(x68681),x68682),x68684))
% 192.24/192.22 [6939]~E(x69393,x69394)+E(x69391,f2(a909))+P1(f329(f329(f331(x69392),x69393),f329(f175(x69392),f172(x69392,x69391,x69394))))
% 192.24/192.22 [7215]~P1(f329(f329(f331(f910(x72151)),x72154),f164(x72151,x72153)))+P1(f329(f329(f331(x72151),x72152),x72153))+~P1(f329(f329(f331(x72151),x72152),f329(f175(x72151),x72154)))
% 192.24/192.22 [7222]~P44(x72221,x72222)+P1(f329(f329(f331(x72221),f645(x72222,x72221,x72223)),x72223))+~P1(f329(f329(f331(x72221),x72224),x72223))
% 192.24/192.22 [7277]~P77(x72771)+E(f329(f329(f329(f66(x72771,x72772,f82(x72771)),x72773),f2(x72771)),x72774),f329(f329(f6(x72772,x72771),x72773),x72774))+~P1(f329(f62(x72772),x72774))
% 192.24/192.22 [7279]~P80(x72791)+E(f329(f329(f329(f66(x72791,x72792,f83(x72791)),x72793),f80(x72791)),x72794),f329(f329(f9(x72792,x72791),x72793),x72794))+~P1(f329(f62(x72792),x72794))
% 192.24/192.22 [7308]P31(x73081,x73082,x73083,x73084)+~E(f329(f36(x73082),f329(f312(x73081,x73082,x73083),x73084)),f329(f36(x73081),x73084))+~P1(f329(f62(x73081),x73084))
% 192.24/192.22 [7506]~P77(x75061)+E(f329(f329(f82(x75061),f329(x75062,x75063)),f329(f329(f6(a909,x75061),x75062),f307(a909,x75063,x75064))),f329(f329(f6(a909,x75061),x75062),f305(a909,x75063,x75064)))+~P1(f329(f329(f239(a909),x75063),x75064))
% 192.24/192.22 [7516]~P77(x75161)+~P31(x75162,x75161,x75163,x75164)+E(f329(f329(f6(x75161,x75161),f33(x75161)),f329(f312(x75162,x75161,x75163),x75164)),f329(f329(f6(x75162,x75161),x75163),x75164))
% 192.24/192.22 [7517]~P80(x75171)+~P31(x75172,x75171,x75173,x75174)+E(f329(f329(f9(x75171,x75171),f33(x75171)),f329(f312(x75172,x75171,x75173),x75174)),f329(f329(f9(x75172,x75171),x75173),x75174))
% 192.24/192.22 [7573]E(f329(f36(f915(x75731,x75732)),f315(x75731,x75732,x75733,x75734)),f329(f329(f82(a909),f329(f36(x75731),x75733)),f329(f36(x75732),x75734)))+~P1(f329(f62(x75732),x75734))+~P1(f329(f62(x75731),x75733))
% 192.24/192.22 [7654]E(x76541,x76542)+P1(f329(f329(f331(x76543),x76541),f329(f175(x76543),f173(x76543,x76542,x76544))))+~P1(f329(f329(f331(x76543),x76541),f329(f175(x76543),x76544)))
% 192.24/192.22 [7796]~P1(f329(f329(f239(f917(x77961,a904)),x77964),f329(x77963,x77964)))+~P1(f329(f329(f331(x77961),x77962),x77964))+P1(f329(f329(f331(x77961),x77962),f101(f917(x77961,a904),x77963)))
% 192.24/192.22 [7882]~P77(x78821)+E(f329(f329(f82(x78821),f329(f329(f6(a909,x78821),x78822),f329(f304(a909,x78823),x78824))),f329(x78822,x78824)),f329(f329(f6(a909,x78821),x78822),f329(f304(a909,x78823),f329(a117,x78824))))+P1(f329(f329(f240(a909),x78824),x78823))
% 192.24/192.22 [7940]~P31(x79401,x79402,x79403,f247(f917(x79401,a904)))+~P1(f329(f62(x79402),x79404))+P1(f329(f62(x79401),f329(f313(x79401,x79402,x79403),x79404)))
% 192.24/192.22 [8056]P1(f329(f329(f331(f910(x80561)),f329(f329(f154(x80561),x80562),x80563)),f164(x80561,x80564)))+~P1(f329(f329(f331(f910(x80561)),x80563),f164(x80561,x80564)))+~P1(f329(f329(f331(x80561),x80562),x80564))
% 192.24/192.22 [8148]~E(f329(f312(x81483,x81481,x81484),f247(f917(x81483,a904))),f247(f917(x81481,a904)))+P1(f329(f62(x81481),x81482))+~P1(f329(f62(x81483),f329(f313(x81483,x81481,x81484),x81482)))
% 192.24/192.22 [8248]~P31(x82481,x82483,x82484,x82482)+P1(f329(f62(x82481),x82482))+~P1(f329(f62(x82483),f329(f312(x82481,x82483,x82484),x82482)))
% 192.24/192.22 [8268]~E(x82682,x82683)+P1(f329(f329(f331(f916(x82681,x82681)),f329(f329(f257(x82681,x82681),x82682),x82683)),f268(x82681,x82684)))+~P1(f329(f329(f331(x82681),x82682),x82684))
% 192.24/192.22 [8303]~P77(x83031)+E(f329(f329(f82(x83031),f329(f329(f6(a909,x83031),x83032),f305(a909,x83033,x83034))),f329(x83032,f329(a117,x83034))),f329(f329(f6(a909,x83031),x83032),f305(a909,x83033,f329(a117,x83034))))+P1(f329(f329(f240(a909),f329(a117,x83034)),x83033))
% 192.24/192.22 [8364]P1(f329(x83641,x83642))+~P1(f329(x83641,f329(f329(f167(x83643),x83644),f686(x83641,x83644,x83643))))+~P1(f329(f329(f331(x83643),x83642),f329(f175(x83643),x83644)))
% 192.24/192.22 [8505]~P1(f329(f329(f331(x85051),x85052),f318(x85051,x85054)))+P1(f329(f329(f331(f910(x85051)),f329(f329(f154(x85051),x85052),x85053)),f318(f910(x85051),f160(x85051,x85054))))+~P1(f329(f329(f331(f910(x85051)),x85053),f318(f910(x85051),f160(x85051,x85054))))
% 192.24/192.22 [8520]~P31(x85202,x85203,x85204,f648(x85204,x85203,x85202,x85201))+P31(x85202,x85203,x85204,f39(f917(x85202,a904),x85201))+E(x85201,f191(f917(f917(x85202,a904),a904)))
% 192.24/192.22 [8798]E(x87981,x87982)+~P1(f329(f329(f331(f916(x87983,x87983)),f329(f329(f257(x87983,x87983),x87981),x87982)),f309(x87983,x87984)))+P1(f329(f329(f331(x87983),x87981),f329(f269(x87983,x87983),x87984)))
% 192.24/192.22 [9067]E(x90671,f2(a909))+P1(f329(x90672,x90673))+P1(f329(f329(f331(x90674),f797(x90672,x90673,x90671,x90674)),f329(f175(x90674),f172(x90674,x90671,x90673))))
% 192.24/192.22 [9079]E(x90791,f2(a909))+~P1(f329(x90793,x90794))+P1(f329(f329(f331(x90792),f796(x90793,x90794,x90791,x90792)),f329(f175(x90792),f172(x90792,x90791,x90794))))
% 192.24/192.22 [9083]P31(x90832,x90833,x90834,f39(f917(x90832,a904),x90831))+E(x90831,f191(f917(f917(x90832,a904),a904)))+P1(f329(f329(f331(f917(x90832,a904)),f648(x90834,x90833,x90832,x90831)),x90831))
% 192.24/192.22 [9217]P1(f329(f62(x92171),x92172))+~P1(f329(f62(x92174),f329(f312(x92171,x92174,x92173),x92172)))+P1(f329(f329(f331(x92171),f434(x92173,x92174,x92172,x92171)),x92172))
% 192.24/192.22 [9322]~P11(x93222)+E(f329(f329(f65(x93221,x93222,f329(f329(f8(x93222,f917(x93222,x93222),x93221),f115(x93222)),x93223)),f191(x93222)),x93224),f329(f329(f40(x93221,x93222),x93224),x93223))+~P1(f329(f62(x93221),x93224))
% 192.24/192.22 [9323]~P11(x93232)+E(f329(f329(f65(x93231,x93232,f329(f329(f8(x93232,f917(x93232,x93232),x93231),f106(x93232)),x93233)),f247(x93232)),x93234),f329(f329(f41(x93231,x93232),x93234),x93233))+~P1(f329(f62(x93231),x93234))
% 192.24/192.22 [9402]P1(f329(x94021,x94022))+~P1(f329(x94021,f329(f329(f167(x94023),x94024),f720(x94022,x94021,x94024,x94023))))+~P1(f329(f329(f331(x94023),x94022),f329(f175(x94023),x94024)))
% 192.24/192.22 [9423]E(x94231,x94232)+~P1(f329(f329(f331(f916(x94233,x94233)),f329(f329(f257(x94233,x94233),x94231),x94232)),f309(x94233,x94234)))+P1(f329(f329(f331(f916(x94233,x94233)),f329(f329(f257(x94233,x94233),x94231),x94232)),f329(f329(f291(x94233,x94233,x94233),x94234),f309(x94233,x94234))))
% 192.24/192.22 [9473]~E(f329(f192(f910(x94731)),x94732),f329(f192(f910(x94731)),x94733))+~P1(f329(f329(f331(f916(f910(x94731),f910(x94731))),f329(f329(f257(f910(x94731),f910(x94731)),x94732),x94733)),f150(x94731,x94734)))+P1(f329(f329(f331(f916(f910(x94731),f910(x94731))),f329(f329(f257(f910(x94731),f910(x94731)),x94732),x94733)),f148(x94731,x94734)))
% 192.24/192.22 [9708]P38(x97081,f329(f329(f18(x97081,a904,a904),f329(f329(f8(a904,f917(a904,a904),x97081),a328),f329(f329(f8(a904,a904,x97081),a324),x97082))),f329(a326,x97083)),x97084)+~P1(f329(x97082,x97083))+~P42(x97081,x97082,f329(f329(f154(x97081),x97083),x97084))
% 192.24/192.22 [9874]~P38(x98741,f329(f329(f18(x98741,a904,a904),f329(f329(f8(a904,f917(a904,a904),x98741),a328),f329(f329(f8(a904,a904,x98741),a324),x98742))),f329(a326,x98743)),x98744)+~P1(f329(x98742,x98743))+P42(x98741,x98742,f329(f329(f154(x98741),x98743),x98744))
% 192.24/192.22 [9878]~P42(x98781,x98782,x98784)+~P38(x98781,f329(f329(f18(x98781,a904,a904),f329(f329(f8(a904,f917(a904,a904),x98781),a328),f329(f329(f8(a904,a904,x98781),a324),x98782))),f329(a326,x98783)),x98784)+P42(x98781,x98782,f329(f329(f154(x98781),x98783),x98784))
% 192.24/192.22 [9913]~P74(x99131)+E(f329(f329(f6(a909,x99131),f329(f329(f18(a909,x99131,x99131),f329(f329(f8(x99131,f917(x99131,x99131),a909),f23(x99131)),x99132)),f329(f329(f8(a909,x99131,a909),x99132),f329(f329(f7(a909,a909,a909),f82(a909)),f80(a909))))),f305(a909,x99133,x99134)),f2(x99131))+P1(f329(f329(f239(a909),x99133),x99134))
% 192.24/192.22 [10139]~P44(x101392,x101394)+~P31(x101392,x101391,x101393,f247(f917(x101392,a904)))+P44(x101391,f329(f312(f916(x101392,x101392),f916(x101391,x101391),f263(x101392,x101391,x101392,x101391,x101393,x101393)),x101394))
% 192.24/192.22 [10321]~E(f329(f192(f910(x103211)),x103213),f329(f192(f910(x103211)),x103212))+P1(f329(f329(f331(f916(f910(x103211),f910(x103211))),f329(f329(f257(f910(x103211),f910(x103211)),x103212),x103213)),f161(x103211,x103214)))+~P1(f329(f329(f262(x103211,x103211,a904),f329(f329(f7(x103211,f917(f916(x103211,x103211),a904),f917(x103211,a904)),f329(f329(f8(f917(x103211,f917(f917(f916(x103211,x103211),a904),a904)),f917(f917(f916(x103211,x103211),a904),f917(x103211,a904)),x103211),f7(x103211,f917(f916(x103211,x103211),a904),a904)),f329(f329(f8(f917(x103211,f916(x103211,x103211)),f917(x103211,f917(f917(f916(x103211,x103211),a904),a904)),x103211),f329(f8(f916(x103211,x103211),f917(f917(f916(x103211,x103211),a904),a904),x103211),f331(f916(x103211,x103211)))),f257(x103211,x103211)))),x103214)),f688(x103214,x103213,x103212,x103211)))
% 192.24/192.22 [6103]~E(x61034,x61032)+P1(f329(x61031,x61032))+P1(f329(f329(f197(f31(x61031,x61033)),x61032),x61034))
% 192.24/192.22 [6196]~P9(x61961)+~E(x61962,f2(x61961))+E(f329(f329(f37(x61961),f329(f329(f83(x61961),x61962),x61963)),f329(f329(f83(x61961),x61962),x61964)),f2(x61961))
% 192.24/192.22 [6238]E(x62381,f118(x62382))+E(x62383,f329(f329(f23(a909),f329(f192(f910(x62382)),x62381)),f80(a909)))+E(f147(x62382,f329(f329(f162(x62382,x62381),x62383),x62384)),f147(x62382,x62381))
% 192.24/192.22 [6270]E(x62701,x62702)+P1(f329(x62703,x62702))+~P1(f329(f329(f329(f311(x62704),x62701),x62703),x62702))
% 192.24/192.22 [6286]~P77(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)))
% 192.24/192.22 [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)))
% 192.24/192.22 [6355]~P9(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))
% 192.24/192.22 [6357]~P70(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))
% 192.24/192.22 [6358]~P70(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))
% 192.24/192.22 [6359]~P9(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))
% 192.24/192.22 [6423]P1(f329(x64231,x64232))+~E(x64233,f329(f329(f82(a909),x64234),x64232))+~P1(f329(x64231,f329(f329(f23(a909),x64233),x64234)))
% 192.24/192.22 [6507]P35(x65071,x65072,x65073)+P34(x65071,f570(x65073,x65072,x65071),x65074)+~P1(f329(f329(f331(f908(x65071)),x65074),x65072))
% 192.24/192.22 [6510]~P1(f329(x65102,x65103))+~P1(f329(f163(x65101,x65102),x65104))+P1(f329(f163(x65101,x65102),f329(f329(f154(x65101),x65103),x65104)))
% 192.24/192.22 [6551]E(x65511,f118(x65512))+~E(x65513,f329(f329(f23(a909),f329(f192(f910(x65512)),x65511)),f80(a909)))+E(f147(x65512,f329(f329(f162(x65512,x65511),x65513),x65514)),x65514)
% 192.24/192.22 [6574]~P103(x65741)+~P1(f329(f329(f240(x65741),x65742),x65744))+P1(f329(f329(f240(x65741),x65742),f329(f329(f115(x65741),x65743),x65744)))
% 192.24/192.22 [6575]~P103(x65751)+~P1(f329(f329(f240(x65751),x65752),x65753))+P1(f329(f329(f240(x65751),x65752),f329(f329(f115(x65751),x65753),x65754)))
% 192.24/192.22 [6577]~P112(x65771)+~P1(f329(f329(f240(x65771),x65772),x65774))+P1(f329(f329(f240(x65771),x65772),f329(f329(f238(x65771),x65773),x65774)))
% 192.24/192.22 [6579]~P112(x65791)+~P1(f329(f329(f240(x65791),x65792),x65793))+P1(f329(f329(f240(x65791),x65792),f329(f329(f238(x65791),x65793),x65794)))
% 192.24/192.22 [6580]~P103(x65801)+~P1(f329(f329(f239(x65801),x65802),x65804))+P1(f329(f329(f239(x65801),x65802),f329(f329(f115(x65801),x65803),x65804)))
% 192.24/192.22 [6581]~P103(x65811)+~P1(f329(f329(f239(x65811),x65812),x65813))+P1(f329(f329(f239(x65811),x65812),f329(f329(f115(x65811),x65813),x65814)))
% 192.24/192.22 [6583]~P112(x65831)+~P1(f329(f329(f239(x65831),x65832),x65834))+P1(f329(f329(f239(x65831),x65832),f329(f329(f238(x65831),x65833),x65834)))
% 192.24/192.22 [6585]~P112(x65851)+~P1(f329(f329(f239(x65851),x65852),x65853))+P1(f329(f329(f239(x65851),x65852),f329(f329(f238(x65851),x65853),x65854)))
% 192.24/192.22 [6673]~E(f329(f329(f167(x66731),x66732),x66733),x66734)+E(f329(f329(f162(x66731,x66732),x66733),x66734),x66732)+~P1(f329(f329(f240(a909),x66733),f329(f192(f910(x66731)),x66732)))
% 192.24/192.22 [6691]E(x66911,x66912)+P1(f329(x66913,x66911))+~P1(f329(f329(f197(f31(x66913,x66914)),x66911),x66912))
% 192.24/192.22 [6715]P1(f329(x67151,x67152))+~P1(f329(x67153,x67152))+~P1(f329(f329(f239(f917(x67154,a904)),x67153),x67151))
% 192.24/192.22 [6746]~E(f329(f329(f162(x67461,x67462),x67463),x67464),x67462)+E(f329(f329(f167(x67461),x67462),x67463),x67464)+~P1(f329(f329(f240(a909),x67463),f329(f192(f910(x67461)),x67462)))
% 192.24/192.22 [6760]~P1(f329(f163(x67601,x67602),x67604))+~P1(f329(f163(x67601,x67602),x67603))+P1(f329(f163(x67601,x67602),f329(f329(f137(x67601),x67603),x67604)))
% 192.24/192.22 [6857]P34(x68571,x68572,x68573)+~P34(x68571,f329(a117,x68572),f571(x68572,x68574,x68571))+~P1(f329(f329(f331(f908(x68571)),x68573),x68574))
% 192.24/192.22 [6864]E(x68641,f191(f917(x68642,a904)))+E(x68643,f191(f917(x68644,a904)))+~E(f329(f329(f259(x68644,x68642),x68643),f329(f16(f917(x68642,a904),x68644),x68641)),f191(f917(f916(x68644,x68642),a904)))
% 192.24/192.22 [6884]E(x68841,x68842)+P1(f329(f329(f331(x68843),x68841),x68844))+~P1(f329(f329(f331(x68843),x68841),f329(f329(f311(x68843),x68842),x68844)))
% 192.24/192.22 [6900]~P112(x69001)+P1(f329(f329(f240(x69001),x69002),x69003))+~P1(f329(f329(f240(x69001),x69002),f329(f329(f237(x69001),x69004),x69003)))
% 192.24/192.22 [6901]~P112(x69011)+P1(f329(f329(f240(x69011),x69012),x69013))+~P1(f329(f329(f240(x69011),x69012),f329(f329(f237(x69011),x69013),x69014)))
% 192.24/192.22 [6903]~P104(x69031)+P1(f329(f329(f239(x69031),x69032),x69033))+~P1(f329(f329(f239(x69031),x69032),f329(f329(f106(x69031),x69034),x69033)))
% 192.24/192.22 [6905]~P104(x69051)+P1(f329(f329(f239(x69051),x69052),x69053))+~P1(f329(f329(f239(x69051),x69052),f329(f329(f106(x69051),x69053),x69054)))
% 192.24/192.22 [6907]~P112(x69071)+P1(f329(f329(f239(x69071),x69072),x69073))+~P1(f329(f329(f239(x69071),x69072),f329(f329(f237(x69071),x69074),x69073)))
% 192.24/192.22 [6909]~P112(x69091)+P1(f329(f329(f239(x69091),x69092),x69093))+~P1(f329(f329(f239(x69091),x69092),f329(f329(f237(x69091),x69093),x69094)))
% 192.24/192.22 [6930]~E(f329(f329(f167(x69301),x69303),x69304),x69302)+P1(f329(f329(f331(x69301),x69302),f329(f175(x69301),x69303)))+~P1(f329(f329(f240(a909),x69304),f329(f192(f910(x69301)),x69303)))
% 192.24/192.22 [6940]~P112(x69401)+~P19(x69401,f329(f329(f154(x69401),x69402),f329(f329(f154(x69401),x69403),x69404)))+P1(f329(f329(f239(x69401),x69402),x69403))
% 192.24/192.22 [7082]~P38(x70822,x70821,x70823)+P1(f329(x70821,f329(f329(f167(x70822),x70823),x70824)))+~P1(f329(f329(f240(a909),x70824),f329(f192(f910(x70822)),x70823)))
% 192.24/192.22 [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)))
% 192.24/192.22 [7121]E(f46(a1,x71212,x71211),x71213)+E(x71211,f2(a1))+~P1(f329(f50(x71212,x71211),f329(f329(f257(a1,a1),x71214),x71213)))
% 192.24/192.22 [7236]P1(f329(f329(f331(x72361),x72362),x72363))+~P1(f329(f329(f331(x72361),x72362),x72364))+~P1(f329(f329(f240(f917(x72361,a904)),x72364),x72363))
% 192.24/192.22 [7240]P1(f329(f329(f331(x72401),x72402),x72403))+~P1(f329(f329(f331(x72401),x72402),x72404))+~P1(f329(f329(f239(f917(x72401,a904)),x72404),x72403))
% 192.24/192.22 [7352]P40(x73521,x73522,x73523)+~P1(f329(x73522,f329(f329(f167(x73521),x73523),x73524)))+~P1(f329(f329(f240(a909),x73524),f329(f192(f910(x73521)),x73523)))
% 192.24/192.22 [7474]~P114(x74742)+~P1(f329(f329(f240(f917(x74741,x74742)),x74743),x74744))+P1(f329(f329(f239(f917(x74741,x74742)),x74743),x74744))
% 192.24/192.22 [7562]~P30(x75621,x75622,x75624)+P30(x75621,x75622,f329(f329(f311(f908(x75621)),x75623),x75624))+~P30(x75621,x75622,f329(f329(f311(f908(x75621)),x75623),f191(f917(f908(x75621),a904))))
% 192.24/192.22 [7605]~P1(f329(f329(f331(x76051),x76052),x76054))+P1(f329(f329(f331(x76051),x76052),f38(f917(x76051,a904),x76053)))+~P1(f329(f329(f331(f917(x76051,a904)),x76054),x76053))
% 192.24/192.22 [7615]P34(x76151,x76152,x76153)+P1(f329(f329(f331(f908(x76151)),f571(x76152,x76154,x76151)),x76154))+~P1(f329(f329(f331(f908(x76151)),x76153),x76154))
% 192.24/192.22 [7634]~P86(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)))
% 192.24/192.22 [7635]~P90(x76351)+~P1(f329(f329(f240(x76351),x76353),x76354))+P1(f329(f329(f240(x76351),f329(f329(f82(x76351),x76352),x76353)),f329(f329(f82(x76351),x76352),x76354)))
% 192.24/192.22 [7636]~P86(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)))
% 192.24/192.22 [7637]~P90(x76371)+~P1(f329(f329(f240(x76371),x76372),x76374))+P1(f329(f329(f240(x76371),f329(f329(f82(x76371),x76372),x76373)),f329(f329(f82(x76371),x76374),x76373)))
% 192.24/192.22 [7638]~P86(x76381)+~P1(f329(f329(f239(x76381),x76383),x76384))+P1(f329(f329(f239(x76381),f329(f329(f82(x76381),x76382),x76383)),f329(f329(f82(x76381),x76382),x76384)))
% 192.24/192.22 [7639]~P88(x76391)+~P1(f329(f329(f239(x76391),x76393),x76394))+P1(f329(f329(f239(x76391),f329(f329(f82(x76391),x76392),x76393)),f329(f329(f82(x76391),x76392),x76394)))
% 192.24/192.22 [7640]~P86(x76401)+~P1(f329(f329(f239(x76401),x76402),x76404))+P1(f329(f329(f239(x76401),f329(f329(f82(x76401),x76402),x76403)),f329(f329(f82(x76401),x76404),x76403)))
% 192.24/192.22 [7641]~P88(x76411)+~P1(f329(f329(f239(x76411),x76412),x76414))+P1(f329(f329(f239(x76411),f329(f329(f82(x76411),x76412),x76413)),f329(f329(f82(x76411),x76414),x76413)))
% 192.24/192.22 [7648]~P145(x76481)+~P97(x76481)+E(f329(f329(f82(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(f82(x76481),x76482),x76484)),f329(f108(x76481),x76483)))
% 192.24/192.22 [7649]~P130(x76491)+~P97(x76491)+E(f329(f329(f23(x76491),f329(f329(f83(x76491),x76492),f329(f108(x76491),x76493))),f329(f329(f83(x76491),x76494),f329(f108(x76491),x76493))),f329(f329(f83(x76491),f329(f329(f23(x76491),x76492),x76494)),f329(f108(x76491),x76493)))
% 192.24/192.22 [7685]~P77(x76851)+E(f329(f329(f82(x76851),f329(x76852,x76853)),f329(f329(f6(a909,x76851),x76852),f305(a909,f329(a117,x76853),x76854))),f329(f329(f6(a909,x76851),x76852),f305(a909,x76853,x76854)))+~P1(f329(f329(f239(a909),x76853),x76854))
% 192.24/192.22 [7697]~P31(x76972,x76971,x76973,f329(f175(x76972),x76974))+~P1(f329(f140(x76972),x76974))+P1(f329(f140(x76971),f329(f329(f157(x76972,x76971),x76973),x76974)))
% 192.24/192.22 [7744]~P1(f329(f329(f240(a909),x77442),x77444))+~P1(f329(f329(f240(a909),x77441),x77443))+P1(f329(f329(f240(a909),f329(f329(f82(a909),x77441),x77442)),f329(f329(f82(a909),x77443),x77444)))
% 192.24/192.22 [7747]~P1(f329(f329(f240(a1),x77471),x77473))+~P1(f329(f329(f239(a1),x77472),x77474))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x77471),x77472)),f329(f329(f82(a1),x77473),x77474)))
% 192.24/192.22 [7748]~P1(f329(f329(f239(a909),x77482),x77484))+~P1(f329(f329(f239(a909),x77481),x77483))+P1(f329(f329(f239(a909),f329(f329(f82(a909),x77481),x77482)),f329(f329(f82(a909),x77483),x77484)))
% 192.24/192.22 [7749]~P1(f329(f329(f239(a909),x77492),x77494))+~P1(f329(f329(f239(a909),x77491),x77493))+P1(f329(f329(f239(a909),f329(f329(f83(a909),x77491),x77492)),f329(f329(f83(a909),x77493),x77494)))
% 192.24/192.22 [7798]P1(f329(f329(f331(x77981),x77982),x77983))+~P1(f329(f329(f331(x77981),x77982),f39(f917(x77981,a904),x77984)))+~P1(f329(f329(f331(f917(x77981,a904)),x77983),x77984))
% 192.24/192.22 [7814]~P1(f329(x78141,f684(x78141,x78143,x78142)))+P1(f329(x78141,f329(f329(f167(x78142),x78143),x78144)))+~P1(f329(f329(f240(a909),x78144),f329(f192(f910(x78142)),x78143)))
% 192.24/192.22 [7819]P1(f329(x78191,x78192))+~P1(f329(f329(f331(x78194),x78192),f329(f175(x78194),x78193)))+P1(f329(f329(f240(a909),f686(x78191,x78193,x78194)),f329(f192(f910(x78194)),x78193)))
% 192.24/192.22 [7836]~P1(f329(f329(f197(x78362),x78363),x78364))+~P1(f329(f329(f197(f31(x78361,x78362)),x78364),x78363))+P1(f329(f329(f197(f31(x78361,x78362)),x78363),x78363))
% 192.24/192.22 [7867]~P114(x78671)+~P1(f329(f329(f239(f917(x78672,x78671)),x78674),x78673))+~P1(f329(f329(f240(f917(x78672,x78671)),x78673),x78674))
% 192.24/192.22 [7913]~P1(f329(x79134,x79132))+~P1(f329(f329(f331(x79131),x79132),x79133))+P1(f329(f329(f331(x79131),x79132),f329(f329(f106(f917(x79131,a904)),x79133),f329(f267(x79131),x79134))))
% 192.24/192.22 [8064]~P1(f329(f329(f331(x80641),x80643),x80644))+~P1(f329(f329(f240(f917(x80641,a904)),x80642),x80644))+P1(f329(f329(f240(f917(x80641,a904)),x80642),f329(f329(f311(x80641),x80643),x80644)))
% 192.24/192.22 [8066]E(f329(f329(f106(f917(x80661,a904)),x80662),x80663),f191(f917(x80661,a904)))+~E(f329(f329(f106(f917(x80661,a904)),f38(f917(x80661,a904),x80664)),x80663),f191(f917(x80661,a904)))+~P1(f329(f329(f331(f917(x80661,a904)),x80662),x80664))
% 192.24/192.22 [8144]P1(f329(f329(f331(x81441),x81442),x81443))+~P1(f329(f329(f239(f917(x81441,a904)),x81443),f329(f329(f311(x81441),x81442),x81444)))+P1(f329(f329(f239(f917(x81441,a904)),x81443),x81444))
% 192.24/192.22 [8166]P1(f329(f329(f331(x81662),f684(x81661,x81663,x81662)),f329(f175(x81662),x81663)))+P1(f329(x81661,f329(f329(f167(x81662),x81663),x81664)))+~P1(f329(f329(f240(a909),x81664),f329(f192(f910(x81662)),x81663)))
% 192.24/192.22 [8174]~P1(f329(f329(f240(f917(x81741,a904)),x81742),x81744))+P1(f329(f329(f240(f917(x81741,a904)),x81742),x81743))+~P1(f329(f329(f240(f917(x81741,a904)),x81744),x81743))
% 192.24/192.22 [8175]~P1(f329(f329(f239(f917(x81751,a904)),x81752),x81754))+P1(f329(f329(f240(f917(x81751,a904)),x81752),x81753))+~P1(f329(f329(f240(f917(x81751,a904)),x81754),x81753))
% 192.24/192.22 [8176]~P1(f329(f329(f239(f917(x81761,a904)),x81764),x81763))+~P1(f329(f329(f240(f917(x81761,a904)),x81762),x81764))+P1(f329(f329(f240(f917(x81761,a904)),x81762),x81763))
% 192.24/192.22 [8177]~P1(f329(f329(f239(f917(x81771,a904)),x81772),x81774))+P1(f329(f329(f239(f917(x81771,a904)),x81772),x81773))+~P1(f329(f329(f239(f917(x81771,a904)),x81774),x81773))
% 192.24/192.22 [8221]~P1(f329(f329(f331(x82211),x82214),x82213))+~P1(f329(f329(f240(f917(x82211,a904)),x82212),f329(f329(f311(x82211),x82214),x82213)))+P1(f329(f329(f240(f917(x82211,a904)),x82212),x82213))
% 192.24/192.22 [8234]~P86(x82341)+P1(f329(f329(f240(x82341),x82342),x82343))+~P1(f329(f329(f240(x82341),f329(f329(f82(x82341),x82344),x82342)),f329(f329(f82(x82341),x82344),x82343)))
% 192.24/192.22 [8236]~P86(x82361)+P1(f329(f329(f240(x82361),x82362),x82363))+~P1(f329(f329(f240(x82361),f329(f329(f82(x82361),x82362),x82364)),f329(f329(f82(x82361),x82363),x82364)))
% 192.24/192.22 [8238]~P86(x82381)+P1(f329(f329(f239(x82381),x82382),x82383))+~P1(f329(f329(f239(x82381),f329(f329(f82(x82381),x82384),x82382)),f329(f329(f82(x82381),x82384),x82383)))
% 192.24/192.22 [8240]~P86(x82401)+P1(f329(f329(f239(x82401),x82402),x82403))+~P1(f329(f329(f239(x82401),f329(f329(f82(x82401),x82402),x82404)),f329(f329(f82(x82401),x82403),x82404)))
% 192.24/192.22 [8286]P1(f329(x82861,x82862))+~E(f329(f329(f141(x82863),f329(f192(f910(x82863)),f180(x82863,x82861,x82864))),x82864),f118(x82863))+~P1(f329(f329(f331(x82863),x82862),f329(f175(x82863),x82864)))
% 192.24/192.22 [8406]P1(f329(x84061,x84062))+~P1(f329(f329(f331(x84063),x84062),f329(f175(x84063),x84064)))+P1(f329(f329(f240(a909),f329(f192(f910(x84063)),f329(f139(x84063,x84061),x84064))),f329(f192(f910(x84063)),x84064)))
% 192.24/192.22 [8537]E(x85371,x85372)+P1(f329(f329(f197(x85373),x85371),f513(x85372,x85371,x85373,x85374)))+~P1(f329(f329(f197(f31(x85374,x85373)),x85371),x85372))
% 192.24/192.22 [8566]~P1(f329(x85664,x85662))+P1(f329(f329(f197(x85661),x85662),f513(x85663,x85662,x85661,x85664)))+~P1(f329(f329(f197(f31(x85664,x85661)),x85662),x85663))
% 192.24/192.22 [8892]~P1(f329(x88921,f775(x88921,x88923,x88922,x88924)))+P1(f329(x88921,f329(f329(f167(x88922),x88923),x88924)))+~P1(f329(f329(f240(a909),x88924),f329(f192(f910(x88922)),x88923)))
% 192.24/192.22 [8917]~P31(x89174,x89173,x89171,f247(f917(x89174,a904)))+E(f329(x89171,f521(x89172,x89171,x89173,x89174)),x89172)+~P1(f329(f329(f331(x89173),x89172),f329(f312(x89174,x89173,x89171),f247(f917(x89174,a904)))))
% 192.24/192.22 [8981]E(f180(x89811,x89812,x89813),f329(f329(f178(x89811),x89814),x89813))+P1(f329(f329(f240(a909),f745(x89812,x89813,x89811,x89814)),x89814))+P1(f329(f329(f240(a909),x89814),f329(f192(f910(x89811)),x89813)))
% 192.24/192.22 [8984]E(f180(x89841,x89842,x89843),f329(f329(f178(x89841),x89844),x89843))+P1(f329(f329(f240(a909),f745(x89842,x89843,x89841,x89844)),x89844))+P1(f329(x89842,f329(f329(f167(x89841),x89843),x89844)))
% 192.24/192.22 [9020]P1(f329(x90201,x90202))+~P1(f329(f329(f331(x90204),x90202),f329(f175(x90204),x90203)))+P1(f329(f329(f240(a909),f720(x90202,x90201,x90203,x90204)),f329(f192(f910(x90204)),x90203)))
% 192.24/192.22 [9023]E(f180(x90231,x90232,x90233),f329(f329(f178(x90231),x90234),x90233))+P1(f329(f329(f240(a909),x90234),f329(f192(f910(x90231)),x90233)))+P1(f329(f329(f240(a909),f745(x90232,x90233,x90231,x90234)),f329(f192(f910(x90231)),x90233)))
% 192.24/192.22 [9030]E(f180(x90301,x90302,x90303),f329(f329(f178(x90301),x90304),x90303))+P1(f329(x90302,f329(f329(f167(x90301),x90303),x90304)))+P1(f329(f329(f240(a909),f745(x90302,x90303,x90301,x90304)),f329(f192(f910(x90301)),x90303)))
% 192.24/192.22 [9059]~P126(x90594)+P1(f329(f329(f331(x90591),f666(x90592,x90593,x90591,x90594)),x90593))+P1(f329(f329(f240(x90594),f2(x90594)),f329(f329(f9(x90591,x90594),x90592),x90593)))
% 192.24/192.22 [9060]~P126(x90604)+P1(f329(f329(f331(x90601),f672(x90602,x90603,x90601,x90604)),x90603))+P1(f329(f329(f239(x90604),f2(x90604)),f329(f329(f9(x90601,x90604),x90602),x90603)))
% 192.24/192.22 [9085]~P1(f329(f62(x90851),x90854))+P1(f329(f329(f331(x90851),f543(x90852,x90853,x90854,x90851)),x90854))+P1(f329(f62(f916(x90851,x90853)),f329(f329(f259(x90851,x90853),x90854),x90852)))
% 192.24/192.22 [9117]P1(f329(f329(f331(x91172),f775(x91171,x91173,x91172,x91174)),f329(f175(x91172),x91173)))+P1(f329(x91171,f329(f329(f167(x91172),x91173),x91174)))+~P1(f329(f329(f240(a909),x91174),f329(f192(f910(x91172)),x91173)))
% 192.24/192.22 [9132]E(x91321,x91322)+P1(f329(f329(f197(f31(x91323,x91324)),f513(x91321,x91322,x91324,x91323)),x91321))+~P1(f329(f329(f197(f31(x91323,x91324)),x91322),x91321))
% 192.24/192.22 [9153]~P1(f329(x91531,x91534))+P1(f329(f329(f197(f31(x91531,x91532)),f513(x91533,x91534,x91532,x91531)),x91533))+~P1(f329(f329(f197(f31(x91531,x91532)),x91534),x91533))
% 192.24/192.22 [9249]P1(f329(f329(f239(a909),x92494),f329(f192(f910(x92492)),f180(x92492,x92493,x92491))))+P1(f329(f329(f240(a909),f747(x92491,x92492,x92493,x92494)),x92494))+~P1(f329(f329(f239(a909),x92494),f329(f192(f910(x92492)),x92491)))
% 192.24/192.22 [9406]E(f180(x94061,x94062,x94063),f329(f329(f178(x94061),x94064),x94063))+~P1(f329(x94062,f329(f329(f167(x94061),x94063),f745(x94062,x94063,x94061,x94064))))+P1(f329(f329(f240(a909),x94064),f329(f192(f910(x94061)),x94063)))
% 192.24/192.22 [9413]E(f180(x94131,x94132,x94133),f329(f329(f178(x94131),x94134),x94133))+~P1(f329(x94132,f329(f329(f167(x94131),x94133),f745(x94132,x94133,x94131,x94134))))+P1(f329(x94132,f329(f329(f167(x94131),x94133),x94134)))
% 192.24/192.22 [9417]~P1(f329(f62(x94171),x94173))+~P1(f329(f62(x94172),f329(x94174,f543(x94174,x94172,x94173,x94171))))+P1(f329(f62(f916(x94171,x94172)),f329(f329(f259(x94171,x94172),x94173),x94174)))
% 192.24/192.22 [9425]~P126(x94251)+~P1(f329(f329(f240(x94251),f2(x94251)),f329(x94253,f666(x94253,x94254,x94252,x94251))))+P1(f329(f329(f240(x94251),f2(x94251)),f329(f329(f9(x94252,x94251),x94253),x94254)))
% 192.24/192.22 [9426]~P126(x94261)+~P1(f329(f329(f239(x94261),f2(x94261)),f329(x94263,f672(x94263,x94264,x94262,x94261))))+P1(f329(f329(f239(x94261),f2(x94261)),f329(f329(f9(x94262,x94261),x94263),x94264)))
% 192.24/192.22 [9434]~E(f329(f192(f910(x94344)),x94342),f329(f192(f910(x94344)),x94343))+P1(f329(f329(f331(f916(f910(x94344),f910(x94344))),f329(f329(f257(f910(x94344),f910(x94344)),x94343),x94342)),f161(x94344,x94341)))+P1(f329(f329(f240(a909),f673(x94341,x94342,x94343,x94344)),f329(f192(f910(x94344)),x94343)))
% 192.24/192.22 [9486]~P1(f329(x94863,f329(f329(f167(x94862),x94864),f747(x94864,x94862,x94863,x94861))))+P1(f329(f329(f239(a909),x94861),f329(f192(f910(x94862)),f180(x94862,x94863,x94864))))+~P1(f329(f329(f239(a909),x94861),f329(f192(f910(x94862)),x94864)))
% 192.24/192.22 [9565]E(f329(f329(f178(x95651),f685(x95652,x95653,x95654,x95651)),x95653),f329(f329(f178(x95651),f685(x95652,x95653,x95654,x95651)),x95654))+~P1(f329(f329(f331(f916(f910(x95651),f910(x95651))),f329(f329(f257(f910(x95651),f910(x95651)),x95654),x95653)),f150(x95651,x95652)))+P1(f329(f329(f240(a909),f329(f192(f910(x95651)),x95654)),f329(f192(f910(x95651)),x95653)))
% 192.24/192.22 [9623]~P1(f329(f329(f240(a909),f2(a909)),x96233))+~P1(f329(f329(f240(a909),x96234),x96231))+P1(f329(f329(f240(a909),f329(f329(f82(a909),f329(f329(f83(a909),x96231),f46(a909,x96232,x96233))),x96234)),f329(f329(f83(a909),x96231),x96233)))
% 192.24/192.22 [9815]~P114(x98152)+~P1(f329(f329(f239(x98152),f329(x98153,f859(x98154,x98153,x98151,x98152))),f329(x98154,f859(x98154,x98153,x98151,x98152))))+P1(f329(f329(f239(f917(x98151,x98152)),x98153),x98154))
% 192.24/192.22 [9917]~P74(x99171)+E(f329(f329(f6(a909,x99171),f329(f329(f18(a909,x99171,x99171),f329(f329(f8(x99171,f917(x99171,x99171),a909),f23(x99171)),x99172)),f329(f329(f8(a909,x99171,a909),x99172),f329(f329(f7(a909,a909,a909),f82(a909)),f80(a909))))),f305(a909,x99173,x99174)),f329(f329(f23(x99171),f329(x99172,x99173)),f329(x99172,f329(f329(f82(a909),x99174),f80(a909)))))+~P1(f329(f329(f239(a909),x99173),x99174))
% 192.24/192.22 [6934]E(f329(f329(f137(x69341),x69342),x69343),x69344)+~E(x69343,f329(f329(f141(x69341),f329(f192(f910(x69341)),x69342)),x69344))+~E(f329(f329(f178(x69341),f329(f192(f910(x69341)),x69342)),x69344),x69342)
% 192.24/192.22 [6987]~P71(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))
% 192.24/192.22 [7137]~P104(x71371)+~P1(f329(f329(f240(x71371),x71373),x71374))+P1(f329(f329(f240(x71371),f329(f329(f106(x71371),x71372),x71373)),x71374))
% 192.24/192.22 [7138]~P104(x71381)+~P1(f329(f329(f240(x71381),x71382),x71384))+P1(f329(f329(f240(x71381),f329(f329(f106(x71381),x71382),x71383)),x71384))
% 192.24/192.22 [7140]~P112(x71401)+~P1(f329(f329(f240(x71401),x71403),x71404))+P1(f329(f329(f240(x71401),f329(f329(f237(x71401),x71402),x71403)),x71404))
% 192.24/192.22 [7142]~P112(x71421)+~P1(f329(f329(f240(x71421),x71422),x71424))+P1(f329(f329(f240(x71421),f329(f329(f237(x71421),x71422),x71423)),x71424))
% 192.24/192.22 [7143]~P104(x71431)+~P1(f329(f329(f239(x71431),x71433),x71434))+P1(f329(f329(f239(x71431),f329(f329(f106(x71431),x71432),x71433)),x71434))
% 192.24/192.22 [7144]~P104(x71441)+~P1(f329(f329(f239(x71441),x71442),x71444))+P1(f329(f329(f239(x71441),f329(f329(f106(x71441),x71442),x71443)),x71444))
% 192.24/192.22 [7146]~P112(x71461)+~P1(f329(f329(f239(x71461),x71463),x71464))+P1(f329(f329(f239(x71461),f329(f329(f237(x71461),x71462),x71463)),x71464))
% 192.24/192.22 [7148]~P112(x71481)+~P1(f329(f329(f239(x71481),x71482),x71484))+P1(f329(f329(f239(x71481),f329(f329(f237(x71481),x71482),x71483)),x71484))
% 192.24/192.22 [7171]~P1(f329(x71713,x71714))+~P1(f329(x71712,x71714))+P1(f329(f329(f329(f106(f917(x71711,a904)),x71712),x71713),x71714))
% 192.24/192.22 [7294]P30(x72941,x72942,x72943)+~P30(x72941,x72944,x72943)+~P1(f329(f329(f239(f917(f908(x72941),a904)),x72944),x72942))
% 192.24/192.22 [7295]P30(x72951,x72952,x72953)+~P30(x72951,x72952,x72954)+~P1(f329(f329(f239(f917(f908(x72951),a904)),x72953),x72954))
% 192.24/192.22 [7675]~P77(x76751)+E(f329(f329(f82(x76751),f329(x76752,x76753)),f329(f329(f6(a909,x76751),x76752),f329(f304(a909,f329(a117,x76753)),x76754))),f329(f329(f6(a909,x76751),x76752),f329(f304(a909,x76753),x76754)))+~P1(f329(f329(f240(a909),x76753),x76754))
% 192.24/192.22 [7693]E(x76931,x76932)+P1(f329(f329(f175(x76933),x76934),x76932))+~P1(f329(f329(f175(x76933),f329(f329(f154(x76933),x76931),x76934)),x76932))
% 192.24/192.22 [7704]~P112(x77041)+P1(f329(f329(f240(x77041),x77042),x77043))+~P1(f329(f329(f240(x77041),f329(f329(f238(x77041),x77044),x77042)),x77043))
% 192.24/192.22 [7705]~P112(x77051)+P1(f329(f329(f240(x77051),x77052),x77053))+~P1(f329(f329(f240(x77051),f329(f329(f238(x77051),x77052),x77054)),x77053))
% 192.24/192.22 [7707]~P103(x77071)+P1(f329(f329(f239(x77071),x77072),x77073))+~P1(f329(f329(f239(x77071),f329(f329(f115(x77071),x77074),x77072)),x77073))
% 192.24/192.22 [7709]~P103(x77091)+P1(f329(f329(f239(x77091),x77092),x77093))+~P1(f329(f329(f239(x77091),f329(f329(f115(x77091),x77092),x77094)),x77093))
% 192.24/192.22 [7711]~P112(x77111)+P1(f329(f329(f239(x77111),x77112),x77113))+~P1(f329(f329(f239(x77111),f329(f329(f238(x77111),x77114),x77112)),x77113))
% 192.24/192.22 [7713]~P112(x77131)+P1(f329(f329(f239(x77131),x77132),x77133))+~P1(f329(f329(f239(x77131),f329(f329(f238(x77131),x77132),x77134)),x77133))
% 192.24/192.22 [7789]~P1(f329(f329(f331(x77891),x77892),x77894))+P1(f329(f329(f331(x77891),x77892),x77893))+P1(f329(f329(f331(x77891),x77892),f329(f329(f23(f917(x77891,a904)),x77894),x77893)))
% 192.24/192.22 [7874]P1(f329(x78741,x78742))+P1(f329(x78743,x78742))+~P1(f329(f329(f329(f115(f917(x78744,a904)),x78743),x78741),x78742))
% 192.24/192.22 [7885]~P1(f329(f329(f331(x78851),x78852),x78854))+~P1(f329(f329(f331(x78851),x78852),x78853))+P1(f329(f329(f331(x78851),x78852),f329(f329(f106(f917(x78851,a904)),x78853),x78854)))
% 192.24/192.22 [7941]~P103(x79411)+~P1(f329(f62(x79411),x79414))+E(f329(f329(f65(x79411,x79411,f115(x79411)),x79412),f329(f329(f311(x79411),x79413),x79414)),f329(f329(f115(x79411),x79413),f329(f329(f65(x79411,x79411,f115(x79411)),x79412),x79414)))
% 192.24/192.22 [7942]~P104(x79421)+~P1(f329(f62(x79421),x79424))+E(f329(f329(f65(x79421,x79421,f106(x79421)),x79422),f329(f329(f311(x79421),x79423),x79424)),f329(f329(f106(x79421),x79423),f329(f329(f65(x79421,x79421,f106(x79421)),x79422),x79424)))
% 192.24/192.22 [7943]~P112(x79431)+~P1(f329(f62(x79431),x79434))+E(f329(f329(f65(x79431,x79431,f237(x79431)),x79432),f329(f329(f311(x79431),x79433),x79434)),f329(f329(f237(x79431),x79433),f329(f329(f65(x79431,x79431,f237(x79431)),x79432),x79434)))
% 192.24/192.22 [7944]~P112(x79441)+~P1(f329(f62(x79441),x79444))+E(f329(f329(f65(x79441,x79441,f238(x79441)),x79442),f329(f329(f311(x79441),x79443),x79444)),f329(f329(f238(x79441),x79443),f329(f329(f65(x79441,x79441,f238(x79441)),x79442),x79444)))
% 192.24/192.22 [7945]~P145(x79451)+~P97(x79451)+E(f329(f329(f82(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(f82(x79451),x79453),x79454)))
% 192.24/192.22 [7946]~P130(x79461)+~P97(x79461)+E(f329(f329(f23(x79461),f329(f329(f83(x79461),f329(f108(x79461),x79462)),x79463)),f329(f329(f83(x79461),f329(f108(x79461),x79462)),x79464)),f329(f329(f83(x79461),f329(f108(x79461),x79462)),f329(f329(f23(x79461),x79463),x79464)))
% 192.24/192.22 [8061]E(x80611,x80612)+P1(f329(f329(f331(x80613),x80611),f329(f175(x80613),x80614)))+~P1(f329(f329(f331(x80613),x80611),f329(f175(x80613),f329(f329(f154(x80613),x80612),x80614))))
% 192.24/192.22 [8246]P63(x82461,x82462,x82463)+~P63(x82461,x82462,x82464)+~P1(f329(f329(f239(f917(f916(x82461,x82462),a904)),x82463),x82464))
% 192.24/192.22 [8288]P1(f329(f329(f331(x82881),x82882),x82883))+P1(f329(f329(f331(x82881),x82882),x82884))+~P1(f329(f329(f331(x82881),x82882),f329(f329(f115(f917(x82881,a904)),x82884),x82883)))
% 192.24/192.22 [8299]~P61(x82991,x82994,x82993)+~P1(f329(f329(f331(x82991),x82992),x82994))+P1(f329(f329(f331(f916(x82991,x82991)),f329(f329(f257(x82991,x82991),x82992),x82992)),x82993))
% 192.24/192.22 [8311]~P1(f329(f62(x83112),x83114))+~P1(f329(f62(x83111),x83113))+P1(f329(f62(f916(x83111,x83112)),f329(f329(f259(x83111,x83112),x83113),f329(f16(f917(x83112,a904),x83111),x83114))))
% 192.24/192.22 [8312]~P1(f329(f329(f331(x83121),x83122),x83124))+~P1(f329(f329(f239(f917(x83121,a904)),x83123),x83124))+P1(f329(f329(f239(f917(x83121,a904)),f329(f329(f311(x83121),x83122),x83123)),x83124))
% 192.24/192.22 [8319]~P109(x83192)+~P80(x83192)+E(f329(f329(f9(x83191,x83192),f329(f329(f8(a909,x83192,x83191),f105(x83192)),x83193)),x83194),f329(f105(x83192),f329(f329(f9(x83191,a909),x83193),x83194)))
% 192.24/192.22 [8320]~P129(x83202)+~P80(x83202)+E(f329(f329(f9(x83201,x83202),f329(f329(f8(a1,x83202,x83201),f107(x83202)),x83203)),x83204),f329(f107(x83202),f329(f329(f9(x83201,a1),x83203),x83204)))
% 192.24/192.22 [8345]E(f329(f329(f23(f917(x83451,a904)),x83452),f329(f329(f23(f917(x83451,a904)),x83453),x83454)),x83454)+~P1(f329(f329(f239(f917(x83451,a904)),x83452),x83453))+~P1(f329(f329(f239(f917(x83451,a904)),x83454),x83452))
% 192.24/192.22 [8444]~P1(f329(f62(x84441),x84444))+E(f329(f329(f23(a909),f329(f329(f6(x84441,a909),x84442),x84443)),f329(f329(f6(x84441,a909),x84442),x84444)),f329(f329(f6(x84441,a909),x84442),f329(f329(f23(f917(x84441,a904)),x84443),x84444)))+~P1(f329(f329(f239(f917(x84441,a904)),x84444),x84443))
% 192.24/192.22 [8601]~P14(x86011,x86014,x86013)+~P1(f329(f329(f331(x86011),x86012),x86014))+P1(f329(f329(f331(x86011),x86012),f329(f288(x86011,x86011,x86013),f329(f329(f311(x86011),x86012),f191(f917(x86011,a904))))))
% 192.24/192.22 [8669]~P1(f329(f329(f239(f917(x86691,a904)),x86692),x86693))+~P1(f329(f329(f239(f917(x86691,a904)),x86692),x86694))+P1(f329(f329(f239(f917(x86691,a904)),x86692),f329(f329(f106(f917(x86691,a904)),x86693),x86694)))
% 192.24/192.22 [8766]E(x87661,f191(f917(x87662,a904)))+P1(f329(f62(x87663),x87664))+~P1(f329(f62(f916(x87663,x87662)),f329(f329(f259(x87663,x87662),x87664),f329(f16(f917(x87662,a904),x87663),x87661))))
% 192.24/192.22 [8767]E(x87671,f191(f917(x87672,a904)))+P1(f329(f62(x87673),x87674))+~P1(f329(f62(f916(x87672,x87673)),f329(f329(f259(x87672,x87673),x87671),f329(f16(f917(x87673,a904),x87672),x87674))))
% 192.24/192.22 [8834]P1(f329(f329(f331(x88341),x88342),f318(x88341,x88343)))+~P1(f329(f329(f331(x88341),x88344),f318(x88341,x88343)))+~P1(f329(f329(f331(f916(x88341,x88341)),f329(f329(f257(x88341,x88341),x88342),x88344)),x88343))
% 192.24/192.22 [8885]~P44(x88851,x88854)+P1(f329(f329(f331(f916(x88851,x88851)),f329(f329(f257(x88851,x88851),x88853),x88852)),f309(x88851,x88854)))+P44(x88851,f329(f329(f311(f916(x88851,x88851)),f329(f329(f257(x88851,x88851),x88852),x88853)),x88854))
% 192.24/192.22 [8886]~P66(x88861,x88864)+P1(f329(f329(f331(f916(x88861,x88861)),f329(f329(f257(x88861,x88861),x88863),x88862)),f309(x88861,x88864)))+P66(x88861,f329(f329(f311(f916(x88861,x88861)),f329(f329(f257(x88861,x88861),x88862),x88863)),x88864))
% 192.24/192.22 [8966]~E(x89662,x89663)+~P1(f329(f329(f331(x89661),x89662),f329(f175(x89661),x89664)))+P1(f329(f329(f331(f916(x89661,x89661)),f329(f329(f257(x89661,x89661),x89662),x89663)),f329(f175(f916(x89661,x89661)),f329(f329(f184(x89661,x89661),x89664),x89664))))
% 192.24/192.22 [8991]~P47(f917(x89911,a904),f917(x89911,a904),x89913)+~P1(f329(f329(f331(x89911),x89912),f101(f917(x89911,a904),x89913)))+P1(f329(f329(f331(x89911),x89912),f329(x89913,f329(f329(f115(f917(x89911,a904)),x89914),f101(f917(x89911,a904),x89913)))))
% 192.24/192.22 [9058]~E(x90583,x90584)+P1(f329(f329(f262(x90581,x90581,a904),a326),x90582))+~P1(f329(f329(f331(f916(x90581,x90581)),x90582),f329(f175(f916(x90581,x90581)),f329(f329(f184(x90581,x90581),x90583),x90584))))
% 192.24/192.22 [9101]P1(f329(f329(f331(f916(f910(x91011),f910(x91011))),f329(f329(f257(f910(x91011),f910(x91011)),x91012),x91013)),f150(x91011,x91014)))+~E(f329(f329(f178(x91011),f329(f192(f910(x91011)),x91012)),x91013),x91012)+~P1(f329(f329(f240(a909),f329(f192(f910(x91011)),x91012)),f329(f192(f910(x91011)),x91013)))
% 192.24/192.22 [9104]~P60(x91041,x91044)+~P1(f329(f329(f331(f916(x91041,x91041)),f329(f329(f257(x91041,x91041),x91043),x91042)),x91044))+P1(f329(f329(f331(f916(x91041,x91041)),f329(f329(f257(x91041,x91041),x91042),x91043)),x91044))
% 192.24/192.22 [9199]~P1(f329(f62(x91991),x91994))+P1(f329(f329(f331(x91991),f433(x91992,x91993,x91994,x91991)),x91994))+P1(f329(f62(x91993),f329(f329(f40(x91991,f917(x91993,a904)),x91994),x91992)))
% 192.24/192.22 [9200]~P1(f329(f62(x92001),x92004))+P1(f329(f329(f331(x92001),f450(x92002,x92003,x92004,x92001)),x92004))+P1(f329(f62(x92003),f329(f329(f40(x92001,f917(x92003,a904)),x92004),x92002)))
% 192.24/192.22 [9294]P1(f329(f329(f331(f916(x92941,x92941)),x92942),f329(f329(f291(x92941,x92941,x92941),x92943),f309(x92941,x92943))))+~P1(f329(f329(f240(a909),f2(a909)),x92944))+~P1(f329(f329(f331(f916(x92941,x92941)),x92942),f329(f329(f186(f916(x92941,x92941),a904),x92944),x92943)))
% 192.24/192.22 [9302]~P44(x93021,x93022)+~P1(f329(f329(f331(f916(x93021,x93021)),f329(f329(f257(x93021,x93021),x93024),x93023)),x93022))+~P1(f329(f329(f331(f916(x93021,x93021)),f329(f329(f257(x93021,x93021),x93023),x93024)),x93022))
% 192.24/192.22 [9424]~P1(f329(f62(x94241),x94244))+E(f329(f329(f6(x94241,a909),f329(f329(f8(f917(x94242,a904),a909,x94241),f36(x94242)),x94243)),x94244),f329(f36(f916(x94241,x94242)),f329(f329(f259(x94241,x94242),x94244),x94243)))+P1(f329(f329(f331(x94241),f547(x94243,x94242,x94244,x94241)),x94244))
% 192.24/192.22 [9428]~P1(f329(f140(x94281),x94282))+P1(f329(f140(x94281),f329(f329(f162(x94281,x94282),x94283),x94284)))+P1(f329(f329(f331(x94281),x94284),f329(f329(f23(f917(x94281,a904)),f329(f175(x94281),x94282)),f329(f329(f311(x94281),f329(f329(f167(x94281),x94282),x94283)),f191(f917(x94281,a904))))))
% 192.24/192.22 [9445]~P1(f329(f62(x94452),x94453))+~P1(f329(f62(x94451),f329(x94454,f433(x94454,x94451,x94453,x94452))))+P1(f329(f62(x94451),f329(f329(f40(x94452,f917(x94451,a904)),x94453),x94454)))
% 192.24/192.22 [9446]~P1(f329(f62(x94462),x94463))+~P1(f329(f62(x94461),f329(x94464,f450(x94464,x94461,x94463,x94462))))+P1(f329(f62(x94461),f329(f329(f40(x94462,f917(x94461,a904)),x94463),x94464)))
% 192.24/192.22 [9523]~P1(f329(f329(f331(f916(x95231,x95231)),x95232),f329(f329(f291(x95231,x95231,x95231),x95234),f309(x95231,x95234))))+P1(f329(f329(f331(f916(x95231,x95231)),x95232),f329(f329(f291(x95231,x95231,x95231),x95233),f309(x95231,x95233))))+~P1(f329(f329(f239(f917(f916(x95231,x95231),a904)),x95234),x95233))
% 192.24/192.22 [9530]E(f329(f329(f178(x95301),f685(x95304,x95303,x95302,x95301)),x95303),f329(f329(f178(x95301),f685(x95304,x95303,x95302,x95301)),x95302))+~P1(f329(f329(f331(f916(f910(x95301),f910(x95301))),f329(f329(f257(f910(x95301),f910(x95301)),x95302),x95303)),f150(x95301,x95304)))+E(f329(f329(f178(x95301),f329(f192(f910(x95301)),x95302)),x95303),x95302)
% 192.24/192.22 [9547]~P1(f329(f62(x95471),x95474))+E(f329(f329(f6(x95471,a909),f329(f329(f8(f917(x95472,a904),a909,x95471),f36(x95472)),x95473)),x95474),f329(f36(f916(x95471,x95472)),f329(f329(f259(x95471,x95472),x95474),x95473)))+~P1(f329(f62(x95472),f329(x95473,f547(x95473,x95472,x95474,x95471))))
% 192.24/192.22 [9552]~E(f329(f192(f910(x95521)),x95523),f329(f192(f910(x95521)),x95522))+P1(f329(f329(f331(f916(f910(x95521),f910(x95521))),f329(f329(f257(f910(x95521),f910(x95521)),x95522),x95523)),f161(x95521,x95524)))+P1(f329(f329(f331(f916(x95521,x95521)),f688(x95524,x95523,x95522,x95521)),f329(f175(f916(x95521,x95521)),f329(f329(f184(x95521,x95521),x95522),x95523))))
% 192.24/192.22 [9635]~P1(f329(f329(f331(f916(f910(x96351),f910(x96351))),f329(f329(f257(f910(x96351),f910(x96351)),x96352),x96353)),f150(x96351,x96354)))+E(f329(f329(f178(x96351),f329(f192(f910(x96351)),x96352)),x96353),x96352)+P1(f329(f329(f240(a909),f685(x96354,x96353,x96352,x96351)),f329(f329(f237(a909),f329(f192(f910(x96351)),x96352)),f329(f192(f910(x96351)),x96353))))
% 192.24/192.22 [9657]~P1(f329(f329(f331(f916(f910(x96571),f910(x96571))),f329(f329(f257(f910(x96571),f910(x96571)),x96572),x96573)),f150(x96571,x96574)))+P1(f329(f329(f240(a909),f329(f192(f910(x96571)),x96572)),f329(f192(f910(x96571)),x96573)))+P1(f329(f329(f240(a909),f685(x96574,x96573,x96572,x96571)),f329(f329(f237(a909),f329(f192(f910(x96571)),x96572)),f329(f192(f910(x96571)),x96573))))
% 192.24/192.22 [10060]~P1(f329(f329(f331(f916(f910(x100601),f910(x100601))),f329(f329(f257(f910(x100601),f910(x100601)),x100602),x100603)),f150(x100601,x100604)))+E(f329(f329(f178(x100601),f329(f192(f910(x100601)),x100602)),x100603),x100602)+P1(f329(f329(f331(f916(x100601,x100601)),f329(f329(f257(x100601,x100601),f329(f329(f167(x100601),x100602),f685(x100604,x100603,x100602,x100601))),f329(f329(f167(x100601),x100603),f685(x100604,x100603,x100602,x100601)))),x100604))
% 192.24/192.22 [10061]~P1(f329(f329(f331(f916(f910(x100611),f910(x100611))),f329(f329(f257(f910(x100611),f910(x100611)),x100612),x100613)),f150(x100611,x100614)))+P1(f329(f329(f240(a909),f329(f192(f910(x100611)),x100612)),f329(f192(f910(x100611)),x100613)))+P1(f329(f329(f331(f916(x100611,x100611)),f329(f329(f257(x100611,x100611),f329(f329(f167(x100611),x100612),f685(x100614,x100613,x100612,x100611))),f329(f329(f167(x100611),x100613),f685(x100614,x100613,x100612,x100611)))),x100614))
% 192.24/192.22 [10117]~E(f329(f192(f910(x101171)),x101172),f329(f192(f910(x101171)),x101173))+P1(f329(f329(f331(f916(f910(x101171),f910(x101171))),f329(f329(f257(f910(x101171),f910(x101171)),x101172),x101173)),f161(x101171,x101174)))+~P1(f329(f329(f331(f916(x101171,x101171)),f329(f329(f257(x101171,x101171),f329(f329(f167(x101171),x101172),f673(x101174,x101173,x101172,x101171))),f329(f329(f167(x101171),x101173),f673(x101174,x101173,x101172,x101171)))),x101174))
% 192.24/192.22 [10262]~P77(x102621)+~P1(f329(f62(x102622),x102624))+E(f329(f168(x102621),f329(f329(f157(x102622,x102621),x102623),f92(f910(x102622),f329(f329(f18(f910(x102622),a904,a904),f329(f329(f8(a904,f917(a904,a904),f910(x102622)),a327),f329(f329(f7(f910(x102622),f917(x102622,a904),a904),f329(f329(f8(f917(x102622,a904),f917(f917(x102622,a904),a904),f910(x102622)),a326),f175(x102622))),x102624))),f140(x102622))))),f235(x102622,x102621,x102623,x102624))
% 192.24/192.22 [7518]~P70(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)))
% 192.24/192.22 [7519]~P9(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)))
% 192.24/192.22 [7520]~P9(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)))
% 192.24/192.22 [7753]~P70(x77532)+E(x77531,f2(x77532))+E(f329(f329(f292(x77532),f329(f329(f82(x77532),x77533),f329(f329(f83(x77532),x77534),x77531))),x77531),f329(f329(f82(x77532),f329(f329(f292(x77532),x77533),x77531)),x77534))
% 192.24/192.22 [7754]~P71(x77542)+E(x77541,f2(x77542))+E(f329(f329(f292(x77542),f329(f329(f82(x77542),x77543),f329(f329(f83(x77542),x77541),x77544))),x77541),f329(f329(f82(x77542),f329(f329(f292(x77542),x77543),x77541)),x77544))
% 192.24/192.22 [7755]~P71(x77552)+E(x77551,f2(x77552))+E(f329(f329(f292(x77552),f329(f329(f23(x77552),x77553),f329(f329(f83(x77552),x77551),x77554))),x77551),f329(f329(f23(x77552),f329(f329(f292(x77552),x77553),x77551)),x77554))
% 192.24/192.22 [8473]~P1(f329(f163(x84731,x84733),x84734))+~P1(f329(f163(x84731,x84732),x84734))+P1(f329(f163(x84731,f329(f329(f106(f917(x84731,a904)),x84732),x84733)),x84734))
% 192.24/192.22 [8848]~E(f329(f329(f291(x88481,x88481,x88481),x88482),x88484),f191(f917(f916(x88481,x88481),a904)))+~E(f329(f329(f291(x88481,x88481,x88481),x88482),x88483),f191(f917(f916(x88481,x88481),a904)))+E(f329(f329(f291(x88481,x88481,x88481),x88482),f329(f329(f115(f917(f916(x88481,x88481),a904)),x88483),x88484)),f191(f917(f916(x88481,x88481),a904)))
% 192.24/192.22 [8967]~P1(f329(f329(f239(f917(x89671,a904)),x89673),x89674))+~P1(f329(f329(f239(f917(x89671,a904)),x89672),x89674))+P1(f329(f329(f239(f917(x89671,a904)),f329(f329(f115(f917(x89671,a904)),x89672),x89673)),x89674))
% 192.24/192.22 [9355]~P1(f329(f62(x93551),x93554))+~P1(f329(f62(x93551),x93553))+E(f329(f329(f23(a909),f329(f329(f82(a909),f329(f329(f6(x93551,a909),x93552),x93553)),f329(f329(f6(x93551,a909),x93552),x93554))),f329(f329(f6(x93551,a909),x93552),f329(f329(f106(f917(x93551,a904)),x93553),x93554))),f329(f329(f6(x93551,a909),x93552),f329(f329(f115(f917(x93551,a904)),x93553),x93554)))
% 192.24/192.22 [9441]~P1(f329(f329(f331(x94411),x94413),x94412))+~P1(f329(f329(f239(f917(x94411,a904)),x94412),f329(f329(f311(x94411),x94413),x94414)))+P1(f329(f329(f239(f917(x94411,a904)),f329(f329(f23(f917(x94411,a904)),x94412),f329(f329(f311(x94411),x94413),f191(f917(x94411,a904))))),x94414))
% 192.24/192.22 [9609]~P1(f329(f329(f331(x96091),x96093),x96092))+P1(f329(f329(f239(f917(x96091,a904)),x96092),f329(f329(f311(x96091),x96093),x96094)))+~P1(f329(f329(f239(f917(x96091,a904)),f329(f329(f23(f917(x96091,a904)),x96092),f329(f329(f311(x96091),x96093),f191(f917(x96091,a904))))),x96094))
% 192.24/192.22 [9697]~P1(f329(f329(f240(a909),x96972),x96974))+~P1(f329(f329(f239(a909),x96971),x96973))+P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),f329(f329(f257(a909,a909),x96971),x96972)),f329(f329(f257(a909,a909),x96973),x96974))),a34))
% 192.24/192.22 [9698]~P1(f329(f329(f239(a909),x96982),x96984))+~P1(f329(f329(f239(a909),x96981),x96983))+P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),f329(f329(f257(a909,a909),x96981),x96982)),f329(f329(f257(a909,a909),x96983),x96984))),a72))
% 192.24/192.22 [9990]~P1(f329(f329(f331(f910(x99901)),x99904),f164(x99901,x99903)))+~P1(f329(f329(f331(f910(x99901)),x99904),f164(x99901,x99902)))+P1(f329(f163(x99901,f329(f329(f106(f917(x99901,a904)),f329(f329(f7(x99901,f917(x99901,a904),a904),f331(x99901)),x99902)),f329(f329(f7(x99901,f917(x99901,a904),a904),f331(x99901)),x99903))),x99904))
% 192.24/192.22 [10083]~P31(x100831,f917(f917(x100831,a904),a904),f329(f329(f7(x100831,f917(f916(x100831,x100831),a904),f917(f917(x100831,a904),a904)),f329(f329(f8(f917(x100831,a904),f917(f917(f916(x100831,x100831),a904),f917(f917(x100831,a904),a904)),x100831),f61(x100831)),f329(f329(f7(x100831,f917(x100831,a904),f917(x100831,a904)),f311(x100831)),f191(f917(x100831,a904))))),x100833),x100832)+~P1(f329(f329(f331(x100831),x100834),x100832))+E(f329(f329(f23(f917(f917(x100831,a904),a904)),f329(f329(f61(x100831),x100832),x100833)),f329(f329(f61(x100831),f329(f329(f311(x100831),x100834),f191(f917(x100831,a904)))),x100833)),f329(f329(f61(x100831),f329(f329(f23(f917(x100831,a904)),x100832),f329(f329(f311(x100831),x100834),f191(f917(x100831,a904))))),x100833))
% 192.24/192.22 [10216]~P61(x102161,x102162,x102164)+~P1(f329(f329(f331(f916(x102161,x102161)),x102163),x102164))+P1(f329(f329(f262(x102161,x102161,a904),f329(f329(f7(x102161,f917(x102161,a904),f917(x102161,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x102161,a904),f917(x102161,a904)),x102161),f8(a904,a904,x102161)),f329(f329(f8(a904,f917(a904,a904),x102161),a327),f329(f329(f7(x102161,f917(x102161,a904),a904),f331(x102161)),x102162)))),f329(f329(f7(x102161,f917(x102161,a904),a904),f331(x102161)),x102162))),x102163))
% 192.24/192.22 [10231]P1(f329(f62(x102311),x102312))+~P1(f329(f62(x102313),f329(f312(x102311,x102313,x102314),x102312)))+~P1(f329(f62(x102311),f329(f267(x102311),f329(f329(f18(x102311,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102311),a327),f329(f329(f7(x102311,f917(x102311,a904),a904),f331(x102311)),x102312))),f329(f329(f7(x102311,x102313,a904),f329(f329(f8(x102313,f917(x102313,a904),x102311),a326),x102314)),f329(x102314,f434(x102314,x102313,x102312,x102311)))))))
% 192.24/192.22 [8227]~P71(x82272)+E(x82271,f2(x82272))+E(f329(f329(f292(x82272),f329(f329(f82(x82272),f329(f329(f83(x82272),x82271),x82273)),x82274)),x82271),f329(f329(f82(x82272),x82273),f329(f329(f292(x82272),x82274),x82271)))
% 192.24/192.22 [8228]~P71(x82282)+E(x82281,f2(x82282))+E(f329(f329(f292(x82282),f329(f329(f23(x82282),f329(f329(f83(x82282),x82281),x82283)),x82284)),x82281),f329(f329(f23(x82282),x82283),f329(f329(f292(x82282),x82284),x82281)))
% 192.24/192.22 [9131]~E(f329(f329(f291(x91311,x91311,x91311),x91313),x91314),f191(f917(f916(x91311,x91311),a904)))+~E(f329(f329(f291(x91311,x91311,x91311),x91312),x91314),f191(f917(f916(x91311,x91311),a904)))+E(f329(f329(f291(x91311,x91311,x91311),f329(f329(f115(f917(f916(x91311,x91311),a904)),x91312),x91313)),x91314),f191(f917(f916(x91311,x91311),a904)))
% 192.24/192.22 [9907]~P1(f329(f163(x99071,x99073),x99074))+~P1(f329(f163(x99071,x99072),x99074))+P1(f329(f163(x99071,f329(f329(f18(x99071,a904,a904),f329(f329(f8(a904,f917(a904,a904),x99071),a327),x99072)),x99073)),x99074))
% 192.24/192.22 [10151]P1(f329(x101511,f430(x101512,x101513,x101511,x101514)))+~P1(f329(f62(x101514),f329(f267(x101514),x101511)))+P1(f329(f62(x101513),f329(f267(x101513),f329(f329(f8(f917(x101514,a904),a904,x101513),f89(x101514)),f329(f329(f8(f917(x101514,a904),f917(x101514,a904),x101513),f329(f18(x101514,a904,a904),f329(f329(f8(a904,f917(a904,a904),x101514),a327),x101511))),x101512)))))
% 192.24/192.22 [10169]~P1(f329(f62(x101692),f329(f267(x101692),x101693)))+~P1(f329(f62(x101691),f329(f267(x101691),f329(f329(f7(x101691,x101692,a904),x101694),f430(x101694,x101691,x101693,x101692)))))+P1(f329(f62(x101691),f329(f267(x101691),f329(f329(f8(f917(x101692,a904),a904,x101691),f89(x101692)),f329(f329(f8(f917(x101692,a904),f917(x101692,a904),x101691),f329(f18(x101692,a904,a904),f329(f329(f8(a904,f917(a904,a904),x101692),a327),x101693))),x101694)))))
% 192.24/192.22 [10242]~P1(f329(f62(x102421),x102424))+P1(f329(f329(f331(x102421),f819(x102422,x102423,x102424,x102421)),x102424))+P1(f329(f62(x102423),f329(f267(x102423),f329(f329(f8(f917(x102421,a904),a904,x102423),f89(x102421)),f329(f329(f8(f917(x102421,a904),f917(x102421,a904),x102423),f329(f18(x102421,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102421),a327),f329(f329(f7(x102421,f917(x102421,a904),a904),f331(x102421)),x102424)))),x102422)))))
% 192.24/192.22 [10248]~P1(f329(f62(x102482),x102483))+~P1(f329(f62(x102481),f329(f267(x102481),f329(f329(f7(x102481,x102482,a904),x102484),f819(x102484,x102481,x102483,x102482)))))+P1(f329(f62(x102481),f329(f267(x102481),f329(f329(f8(f917(x102482,a904),a904,x102481),f89(x102482)),f329(f329(f8(f917(x102482,a904),f917(x102482,a904),x102481),f329(f18(x102482,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102482),a327),f329(f329(f7(x102482,f917(x102482,a904),a904),f331(x102482)),x102483)))),x102484)))))
% 192.24/192.22 [5137]~E(x51372,x51374)+E(f172(x51371,x51372,x51373),f172(x51371,x51374,x51375))+~E(x51372,f2(a909))
% 192.24/192.22 [5395]E(x53951,x53952)+~E(f172(x53954,x53953,x53951),f172(x53954,x53955,x53952))+E(x53953,f2(a909))
% 192.24/192.22 [5945]~E(x59455,x59452)+P49(f31(x59451,x59453),x59452,x59454,x59455)+P1(f329(x59451,x59452))
% 192.24/192.22 [6509]E(x65091,x65092)+~P49(f31(x65093,x65094),x65091,x65095,x65092)+P1(f329(x65093,x65091))
% 192.24/192.22 [8020]~P49(x80202,x80203,x80204,x80205)+~P49(f31(x80201,x80202),x80205,x80204,x80203)+P49(f31(x80201,x80202),x80203,x80204,x80203)
% 192.24/192.22 [9261]E(x92611,x92612)+~P49(f31(x92615,x92613),x92611,x92614,x92612)+P49(x92613,x92611,x92614,f544(x92612,x92614,x92611,x92613,x92615))
% 192.24/192.22 [9263]E(x92631,x92632)+P49(f31(x92633,x92634),f544(x92631,x92635,x92632,x92634,x92633),x92635,x92631)+~P49(f31(x92633,x92634),x92632,x92635,x92631)
% 192.24/192.22 [9267]~P49(f31(x92675,x92671),x92672,x92673,x92674)+P49(x92671,x92672,x92673,f544(x92674,x92673,x92672,x92671,x92675))+~P1(f329(x92675,x92672))
% 192.24/192.22 [9274]~P49(f31(x92741,x92742),x92745,x92744,x92743)+P49(f31(x92741,x92742),f544(x92743,x92744,x92745,x92742,x92741),x92744,x92743)+~P1(f329(x92741,x92745))
% 192.24/192.22 [6653]E(x66531,x66532)+~E(f329(x66533,x66531),f329(x66533,x66532))+~P31(x66534,x66535,x66533,f247(f917(x66534,a904)))
% 192.24/192.22 [7557]E(x75571,x75572)+~P31(x75573,x75574,x75575,f247(f917(x75573,a904)))+~E(f329(f312(x75573,x75574,x75575),x75571),f329(f312(x75573,x75574,x75575),x75572))
% 192.24/192.22 [7807]P31(x78072,x78073,f523(x78074,x78073,x78072,x78071),x78071)+~E(f329(f312(x78073,x78072,x78075),x78074),x78071)+E(x78071,f191(f917(x78072,a904)))
% 192.24/192.22 [8356]~P1(f329(f329(x83563,x83562),x83565))+~P1(f329(f329(x83563,x83564),x83562))+P1(f329(f329(f331(x83561),x83562),f301(x83561,x83563,x83564,x83565)))
% 192.24/192.22 [8357]~P1(f329(f329(x83573,x83572),x83575))+~P1(f329(f329(x83573,x83574),x83572))+P1(f329(f329(f331(x83571),x83572),f298(x83571,x83573,x83574,x83575)))
% 192.24/192.22 [8926]~P31(x89261,x89263,x89265,f247(f917(x89261,a904)))+~P31(x89263,x89262,x89264,f247(f917(x89263,a904)))+P31(x89261,x89262,f329(f74(x89263,x89262,x89261,x89264),x89265),f247(f917(x89261,a904)))
% 192.24/192.22 [9500]P1(f329(f329(f331(f916(x95001,x95001)),f329(f329(f257(x95001,x95001),x95002),x95003)),f309(x95001,x95004)))+~P1(f329(f329(f331(f916(x95001,x95001)),f329(f329(f257(x95001,x95001),x95002),x95005)),f309(x95001,x95004)))+~P1(f329(f329(f331(f916(x95001,x95001)),f329(f329(f257(x95001,x95001),x95005),x95003)),f309(x95001,x95004)))
% 192.24/192.22 [9537]~P112(x95372)+~P1(f329(f140(x95371),x95375))+P1(f329(f140(x95371),f152(x95371,x95372,x95373,x95374,x95375)))
% 192.24/192.22 [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))
% 192.24/192.22 [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)
% 192.24/192.22 [6610]~E(f329(f192(f910(x66101)),x66105),f329(f192(f910(x66102)),x66104))+E(f329(f329(f157(f916(x66101,x66102),x66102),f261(x66101,x66102)),x66103),x66104)+~E(f329(f329(f184(x66101,x66102),x66105),x66104),x66103)
% 192.24/192.22 [6611]~E(f329(f192(f910(x66111)),x66114),f329(f192(f910(x66112)),x66115))+E(f329(f329(f157(f916(x66111,x66112),x66111),f256(x66111,x66112)),x66113),x66114)+~E(f329(f329(f184(x66111,x66112),x66114),x66115),x66113)
% 192.24/192.22 [7083]~P112(x70831)+~P19(x70831,f329(f329(f157(x70832,x70831),x70833),x70835))+P19(x70831,f329(f329(f157(x70832,x70831),x70833),f329(f139(x70832,x70834),x70835)))
% 192.24/192.22 [7126]~P1(f329(x71263,x71265))+~P1(f329(f329(x71262,x71264),x71265))+P1(f329(f329(f95(x71261,x71262,x71263),x71264),x71265))
% 192.24/192.22 [7223]~P112(x72231)+P19(x72231,f329(f329(f157(x72232,x72231),x72233),f173(x72232,x72234,x72235)))+~P19(x72231,f329(f329(f157(x72232,x72231),x72233),x72235))
% 192.24/192.22 [7246]~P63(x72463,x72462,x72465)+~P63(x72461,x72463,x72464)+P63(x72461,x72462,f329(f329(f291(x72461,x72463,x72462),x72464),x72465))
% 192.24/192.22 [7341]E(x73411,x73412)+~P31(x73413,x73414,x73415,f247(f917(x73413,a904)))+~E(f329(f329(f157(x73413,x73414),x73415),x73411),f329(f329(f157(x73413,x73414),x73415),x73412))
% 192.24/192.22 [7422]P49(x74221,x74222,x74223,x74224)+~P49(x74221,x74222,x74225,x74224)+~P1(f329(f329(f239(a909),x74225),x74223))
% 192.24/192.22 [7504]~P1(f329(f329(f240(a909),x75041),f329(x75043,x75045)))+P1(f329(f329(f240(a909),x75041),f158(x75042,x75043,x75044)))+~P1(f329(f329(f331(x75042),x75045),f329(f175(x75042),x75044)))
% 192.24/192.22 [7505]~P1(f329(f329(f239(a909),x75051),f329(x75053,x75055)))+P1(f329(f329(f239(a909),x75051),f158(x75052,x75053,x75054)))+~P1(f329(f329(f331(x75052),x75055),f329(f175(x75052),x75054)))
% 192.24/192.22 [7907]P1(f329(x79071,x79072))+~P1(f329(x79071,x79073))+~P1(f329(f329(f331(x79074),x79072),f329(f175(x79074),f172(x79074,x79075,x79073))))
% 192.24/192.22 [7908]P1(f329(x79081,x79082))+~P1(f329(x79081,x79083))+~P1(f329(f329(f331(x79084),x79083),f329(f175(x79084),f172(x79084,x79085,x79082))))
% 192.24/192.22 [7912]~P113(x79121)+P1(f329(f329(f239(f917(x79121,a904)),f305(x79121,x79122,x79123)),f305(x79121,x79124,x79125)))+P1(f329(f329(f239(x79121),x79122),x79123))
% 192.24/192.22 [7939]~P11(x79391)+P1(f329(f329(f239(x79391),f329(f329(f41(x79392,x79391),x79393),x79394)),f329(x79394,x79395)))+~P1(f329(f329(f331(x79392),x79395),x79393))
% 192.24/192.22 [8007]~P31(x80071,x80072,x80074,x80073)+E(f329(f79(x80071,x80072,x80073,x80074),f329(x80074,x80075)),x80075)+~P1(f329(f329(f331(x80071),x80075),x80073))
% 192.24/192.22 [8008]~P31(x80081,x80082,x80084,x80083)+E(f329(f94(x80081,x80082,x80083,x80084),f329(x80084,x80085)),x80085)+~P1(f329(f329(f331(x80081),x80085),x80083))
% 192.24/192.22 [8216]~P1(f329(x82161,x82165))+P1(f329(x82161,f881(x82161,x82162,x82163,x82164)))+~P1(f329(f329(f331(x82164),x82165),x82163))
% 192.24/192.22 [8217]~P1(f329(x82171,x82175))+P1(f329(x82171,f881(x82171,x82172,x82173,x82174)))+~P1(f329(f329(f331(x82174),x82175),x82172))
% 192.24/192.22 [8309]P1(f329(f62(x83091),x83092))+~P1(f329(f62(x83093),x83094))+~P1(f329(f329(f239(f917(x83091,a904)),x83092),f329(f312(x83093,x83091,x83095),x83094)))
% 192.24/192.22 [8477]E(x84771,x84772)+~P31(x84773,x84774,x84775,f329(f329(f115(f917(x84773,a904)),f329(f175(x84773),x84771)),f329(f175(x84773),x84772)))+~E(f329(f329(f157(x84773,x84774),x84775),x84771),f329(f329(f157(x84773,x84774),x84775),x84772))
% 192.24/192.22 [8530]~P113(x85301)+~P1(f329(f329(f240(f917(x85301,a904)),f305(x85301,x85304,x85305)),f305(x85301,x85302,x85303)))+P1(f329(f329(f239(x85301),x85302),x85303))
% 192.24/192.22 [8600]~P31(x86001,x86004,x86005,f247(f917(x86001,a904)))+~P1(f329(f329(f331(x86004),f329(x86005,x86002)),f329(f312(x86001,x86004,x86005),x86003)))+P1(f329(f329(f331(x86001),x86002),x86003))
% 192.24/192.22 [8682]P1(f329(x86821,x86822))+~P1(f329(x86821,f556(x86821,x86823,x86824,x86825)))+~P1(f329(f329(f331(x86825),x86822),x86824))
% 192.24/192.22 [8683]P1(f329(x86831,x86832))+~P1(f329(x86831,f556(x86831,x86833,x86834,x86835)))+~P1(f329(f329(f331(x86835),x86832),x86833))
% 192.24/192.22 [8964]~P31(x89642,x89643,x89641,x89644)+E(f329(x89641,f329(f79(x89642,x89643,x89644,x89641),x89645)),x89645)+~P1(f329(f329(f331(x89643),x89645),f329(f312(x89642,x89643,x89641),x89644)))
% 192.24/192.22 [9072]E(x90721,f118(x90722))+E(f329(f329(f154(x90722),x90723),f704(x90724,x90723,x90725,x90721,x90722)),x90721)+~E(f329(f329(f137(x90722),x90721),x90725),f329(f329(f154(x90722),x90723),x90724))
% 192.24/192.22 [9073]E(x90731,f118(x90732))+E(f329(f329(f154(x90732),x90733),f699(x90734,x90731,x90735,x90733,x90732)),x90731)+~E(f329(f329(f137(x90732),x90731),x90734),f329(f329(f154(x90732),x90733),x90735))
% 192.24/192.22 [9090]E(f329(f329(f154(x90902),x90903),f704(x90904,x90903,x90901,x90905,x90902)),x90905)+~E(f329(f329(f137(x90902),x90905),x90901),f329(f329(f154(x90902),x90903),x90904))+E(x90901,f329(f329(f154(x90902),x90903),x90904))
% 192.24/192.22 [9091]E(f329(f329(f154(x90911),x90912),f699(x90914,x90915,x90913,x90912,x90911)),x90915)+~E(f329(f329(f137(x90911),x90915),x90914),f329(f329(f154(x90911),x90912),x90913))+E(f329(f329(f154(x90911),x90912),x90913),x90914)
% 192.24/192.22 [9170]~E(f329(f312(x91703,x91702,x91704),f247(f917(x91703,a904))),f247(f917(x91702,a904)))+~E(f329(f312(x91701,x91703,x91705),f247(f917(x91701,a904))),f247(f917(x91703,a904)))+E(f329(f312(x91701,x91702,f329(f74(x91703,x91702,x91701,x91704),x91705)),f247(f917(x91701,a904))),f247(f917(x91702,a904)))
% 192.24/192.22 [9544]E(x95441,f118(x95442))+~E(f329(f329(f137(x95442),x95441),x95443),f329(f329(f154(x95442),x95445),x95444))+E(f329(f329(f137(x95442),f699(x95443,x95441,x95444,x95445,x95442)),x95443),x95444)
% 192.24/192.22 [9545]E(x95451,f118(x95452))+~E(f329(f329(f137(x95452),x95451),x95455),f329(f329(f154(x95452),x95454),x95453))+E(f329(f329(f137(x95452),f704(x95453,x95454,x95455,x95451,x95452)),x95455),x95453)
% 192.24/192.22 [9553]E(f329(f329(f137(x95532),f704(x95534,x95533,x95531,x95535,x95532)),x95531),x95534)+~E(f329(f329(f137(x95532),x95535),x95531),f329(f329(f154(x95532),x95533),x95534))+E(x95531,f329(f329(f154(x95532),x95533),x95534))
% 192.24/192.22 [9554]~E(f329(f329(f137(x95541),x95545),x95544),f329(f329(f154(x95541),x95542),x95543))+E(f329(f329(f137(x95541),f699(x95544,x95545,x95543,x95542,x95541)),x95544),x95543)+E(f329(f329(f154(x95541),x95542),x95543),x95544)
% 192.24/192.22 [9555]E(f329(f329(f137(x95551),x95555),f706(x95553,x95552,x95554,x95555,x95551)),x95552)+E(f329(f329(f137(x95551),x95552),f705(x95553,x95552,x95554,x95555,x95551)),x95555)+~E(f329(f329(f137(x95551),x95555),x95554),f329(f329(f137(x95551),x95552),x95553))
% 192.24/192.22 [9592]~P112(x95921)+P19(x95921,f329(f329(f157(x95922,x95921),x95923),f152(x95922,x95921,x95923,x95924,x95925)))+~P19(x95921,f329(f329(f157(x95922,x95921),x95923),x95925))
% 192.24/192.22 [9606]~P67(x96065,x96061,x96064,x96063)+P1(f329(f329(x96061,x96062),f528(x96063,x96064,x96061,x96065,x96062)))+~P1(f329(f329(f331(x96065),x96062),x96064))
% 192.24/192.22 [9607]~P67(x96075,x96071,x96074,x96073)+P1(f329(f329(x96071,x96072),f825(x96073,x96074,x96071,x96075,x96072)))+~P1(f329(f329(f331(x96075),x96072),x96074))
% 192.24/192.22 [9709]~P1(f329(f329(f331(f916(x97091,x97091)),f329(f329(f257(x97091,x97091),x97095),x97093)),f309(x97091,x97094)))+P1(f329(f329(f331(f916(x97091,x97091)),f329(f329(f257(x97091,x97091),x97092),x97093)),f329(f329(f291(x97091,x97091,x97091),x97094),f309(x97091,x97094))))+~P1(f329(f329(f331(f916(x97091,x97091)),f329(f329(f257(x97091,x97091),x97092),x97095)),f329(f329(f291(x97091,x97091,x97091),x97094),f309(x97091,x97094))))
% 192.24/192.22 [9710]~P1(f329(f329(f331(f916(x97101,x97101)),f329(f329(f257(x97101,x97101),x97102),x97105)),f309(x97101,x97104)))+P1(f329(f329(f331(f916(x97101,x97101)),f329(f329(f257(x97101,x97101),x97102),x97103)),f329(f329(f291(x97101,x97101,x97101),x97104),f309(x97101,x97104))))+~P1(f329(f329(f331(f916(x97101,x97101)),f329(f329(f257(x97101,x97101),x97105),x97103)),f329(f329(f291(x97101,x97101,x97101),x97104),f309(x97101,x97104))))
% 192.24/192.22 [9712]P1(f329(f329(f331(f916(f910(x97121),f910(x97121))),f329(f329(f257(f910(x97121),f910(x97121)),x97122),x97123)),f161(x97121,f309(x97121,x97124))))+~P1(f329(f329(f331(f916(f910(x97121),f910(x97121))),f329(f329(f257(f910(x97121),f910(x97121)),x97122),x97125)),f161(x97121,f309(x97121,x97124))))+~P1(f329(f329(f331(f916(f910(x97121),f910(x97121))),f329(f329(f257(f910(x97121),f910(x97121)),x97125),x97123)),f161(x97121,f309(x97121,x97124))))
% 192.24/192.22 [9716]E(f329(f329(f137(x97161),x97162),f705(x97163,x97162,x97164,x97165,x97161)),x97165)+E(f329(f329(f137(x97161),f706(x97163,x97162,x97164,x97165,x97161)),x97163),x97164)+~E(f329(f329(f137(x97161),x97162),x97163),f329(f329(f137(x97161),x97165),x97164))
% 192.24/192.22 [9717]E(f329(f329(f137(x97171),x97172),f706(x97173,x97174,x97175,x97172,x97171)),x97174)+E(f329(f329(f137(x97171),f705(x97173,x97174,x97175,x97172,x97171)),x97175),x97173)+~E(f329(f329(f137(x97171),x97172),x97175),f329(f329(f137(x97171),x97174),x97173))
% 192.24/192.22 [9773]P1(f329(f329(f331(f916(x97731,x97731)),f329(f329(f257(x97731,x97731),x97732),x97733)),f329(f329(f291(x97731,x97731,x97731),x97734),f309(x97731,x97734))))+~P1(f329(f329(f331(f916(x97731,x97731)),f329(f329(f257(x97731,x97731),x97732),x97735)),f329(f329(f291(x97731,x97731,x97731),x97734),f309(x97731,x97734))))+~P1(f329(f329(f331(f916(x97731,x97731)),f329(f329(f257(x97731,x97731),x97735),x97733)),f329(f329(f291(x97731,x97731,x97731),x97734),f309(x97731,x97734))))
% 192.24/192.22 [9800]P41(x98001,x98002,x98003,x98004,x98005)+~E(f329(f192(f910(x98001)),x98004),f329(f192(f910(x98002)),x98005))+~P1(f329(f329(f262(x98001,x98002,a904),x98003),f721(x98005,x98004,x98003,x98002,x98001)))
% 192.24/192.22 [9801]P41(x98011,x98012,x98013,x98014,x98015)+~E(f329(f192(f910(x98011)),x98014),f329(f192(f910(x98012)),x98015))+~P1(f329(f329(f262(x98011,x98012,a904),x98013),f722(x98013,x98015,x98014,x98012,x98011)))
% 192.24/192.22 [9806]E(f329(f329(f137(x98061),f705(x98062,x98063,x98064,x98065,x98061)),x98064),x98062)+~E(f329(f329(f137(x98061),x98063),x98062),f329(f329(f137(x98061),x98065),x98064))+E(f329(f329(f137(x98061),f706(x98062,x98063,x98064,x98065,x98061)),x98062),x98064)
% 192.24/192.22 [9821]~P112(x98212)+E(f329(f329(f151(x98211,x98212,x98213),x98214),x98215),f329(f329(f154(x98211),x98214),x98215))+P1(f329(f329(f331(x98211),f767(x98214,x98213,x98215,x98211,x98212)),f329(f175(x98211),x98215)))
% 192.24/192.22 [9825]~P67(x98251,x98254,x98253,x98252)+~P1(f329(f329(f331(x98251),x98255),x98253))+P1(f329(f329(f331(x98251),f528(x98252,x98253,x98254,x98251,x98255)),x98252))
% 192.24/192.22 [9826]~P67(x98261,x98264,x98263,x98262)+~P1(f329(f329(f331(x98261),x98265),x98263))+P1(f329(f329(f331(x98261),f825(x98262,x98263,x98264,x98261,x98265)),x98262))
% 192.24/192.22 [9942]~P1(f329(f329(f331(f916(f917(x99421,a904),f917(x99421,a904))),f329(f329(f257(f917(x99421,a904),f917(x99421,a904)),x99424),x99423)),f320(x99421,x99422)))+~P1(f329(f329(f331(x99421),x99425),x99424))+P1(f329(f329(f331(x99421),f592(x99422,x99423,x99424,x99421,x99425)),x99423))
% 192.24/192.22 [9953]~P112(x99532)+E(f329(f329(f151(x99531,x99532,x99533),x99534),x99535),f329(f329(f154(x99531),x99534),x99535))+~P1(f329(f329(f239(x99532),f329(x99533,x99534)),f329(x99533,f767(x99534,x99533,x99535,x99531,x99532))))
% 192.24/192.22 [9998]~P31(x99983,x99984,x99985,f247(f917(x99983,a904)))+P1(f329(x99981,x99982))+~P1(f329(x99981,f329(f94(x99983,x99984,f247(f917(x99983,a904)),x99985),f838(x99982,x99981,x99985,x99984,x99983))))
% 192.24/192.22 [10134]P41(x101341,x101342,x101343,x101344,x101345)+~E(f329(f192(f910(x101341)),x101344),f329(f192(f910(x101342)),x101345))+~P1(f329(f329(x101343,f329(f329(f167(x101341),x101344),f723(x101345,x101344,x101343,x101342,x101341))),f329(f329(f167(x101342),x101345),f723(x101345,x101344,x101343,x101342,x101341))))
% 192.24/192.22 [10135]P41(x101351,x101352,x101353,x101354,x101355)+~E(f329(f192(f910(x101351)),x101354),f329(f192(f910(x101352)),x101355))+~P1(f329(f329(x101353,f329(f329(f167(x101351),x101354),f759(x101353,x101355,x101352,x101354,x101351))),f329(f329(f167(x101352),x101355),f759(x101353,x101355,x101352,x101354,x101351))))
% 192.24/192.22 [6683]~P23(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))
% 192.24/192.22 [6684]~E(x66843,x66844)+~E(x66842,x66845)+E(f329(f329(f311(x66841),x66842),f329(f329(f311(x66841),x66843),f191(f917(x66841,a904)))),f329(f329(f311(x66841),x66844),f329(f329(f311(x66841),x66845),f191(f917(x66841,a904)))))
% 192.24/192.22 [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)))
% 192.24/192.22 [6732]E(f329(x67321,x67322),f191(f917(x67323,a904)))+~E(f329(f329(f40(x67324,f917(x67323,a904)),x67325),x67321),f191(f917(x67323,a904)))+~P1(f329(f329(f331(x67324),x67322),x67325))
% 192.24/192.22 [6733]E(f329(x67331,x67332),f247(f917(x67333,a904)))+~E(f329(f329(f41(x67334,f917(x67333,a904)),x67335),x67331),f247(f917(x67333,a904)))+~P1(f329(f329(f331(x67334),x67332),x67335))
% 192.24/192.22 [7032]~P1(f329(f329(f197(x70321),x70323),x70325))+~P1(f329(f329(f197(x70322),x70325),x70324))+P1(f329(f329(f197(f32(x70321,x70322)),x70323),x70324))
% 192.24/192.22 [7233]~E(x72332,x72334)+~P146(x72331)+E(f329(f329(f82(x72331),f329(f329(f83(x72331),x72332),x72333)),f329(f329(f83(x72331),x72334),x72335)),f329(f329(f82(x72331),f329(f329(f83(x72331),x72332),x72335)),f329(f329(f83(x72331),x72334),x72333)))
% 192.24/192.22 [7293]~P11(x72931)+~P1(f329(f329(f331(x72934),x72933),x72935))+P1(f329(f329(f239(x72931),f329(x72932,x72933)),f329(f329(f40(x72934,x72931),x72935),x72932)))
% 192.24/192.22 [7346]~P114(x73461)+P1(f329(f329(f239(x73461),f329(x73462,x73463)),f329(x73464,x73463)))+~P1(f329(f329(f239(f917(x73465,x73461)),x73462),x73464))
% 192.24/192.22 [7475]E(x74751,x74752)+E(x74753,x74751)+~E(f329(f329(f311(x74754),x74751),f329(f329(f311(x74754),x74755),f191(f917(x74754,a904)))),f329(f329(f311(x74754),x74752),f329(f329(f311(x74754),x74753),f191(f917(x74754,a904)))))
% 192.24/192.22 [7476]E(x74761,x74762)+E(x74763,x74761)+~E(f329(f329(f311(x74764),x74763),f329(f329(f311(x74764),x74762),f191(f917(x74764,a904)))),f329(f329(f311(x74764),x74765),f329(f329(f311(x74764),x74761),f191(f917(x74764,a904)))))
% 192.24/192.22 [7477]E(x74771,x74772)+E(x74771,x74773)+~E(f329(f329(f311(x74774),x74773),f329(f329(f311(x74774),x74772),f191(f917(x74774,a904)))),f329(f329(f311(x74774),x74775),f329(f329(f311(x74774),x74771),f191(f917(x74774,a904)))))
% 192.24/192.22 [7478]E(x74781,x74782)+E(x74781,x74783)+~E(f329(f329(f311(x74784),x74781),f329(f329(f311(x74784),x74785),f191(f917(x74784,a904)))),f329(f329(f311(x74784),x74782),f329(f329(f311(x74784),x74783),f191(f917(x74784,a904)))))
% 192.24/192.22 [8017]P31(x80171,x80172,x80173,x80174)+~P31(x80171,x80172,x80173,x80175)+~P1(f329(f329(f239(f917(x80171,a904)),x80174),x80175))
% 192.24/192.22 [8047]~E(f329(x80473,x80475),x80474)+~P31(x80471,x80472,x80473,f247(f917(x80471,a904)))+E(f329(f94(x80471,x80472,f247(f917(x80471,a904)),x80473),x80474),x80475)
% 192.24/192.22 [8123]P1(f329(x81231,x81232))+~P1(f329(f329(f197(x81234),x81232),x81235))+P1(f329(f329(f197(f29(x81231,x81233,x81234)),x81232),x81235))
% 192.24/192.22 [8151]~P1(f329(x81511,x81514))+~P1(f329(f329(f197(x81512),x81514),x81515))+P1(f329(f329(f197(f29(x81511,x81512,x81513)),x81514),x81515))
% 192.24/192.22 [8204]E(x82041,x82042)+~E(f329(f312(x82043,x82044,x82045),x82041),f329(f312(x82043,x82044,x82045),x82042))+~P31(x82043,x82044,x82045,f329(f329(f115(f917(x82043,a904)),x82041),x82042))
% 192.24/192.22 [8277]P1(f329(x82772,x82774))+E(f329(f329(f141(x82771),f329(f192(f910(x82771)),f180(x82771,x82772,x82773))),x82773),f329(f329(f154(x82771),x82774),x82775))+~E(f329(f329(f137(x82771),f180(x82771,x82772,x82773)),f329(f329(f154(x82771),x82774),x82775)),x82773)
% 192.24/192.22 [8307]~P31(x83071,x83072,x83073,x83075)+~P31(x83071,x83072,x83073,x83074)+P31(x83071,x83072,x83073,f329(f329(f106(f917(x83071,a904)),x83074),x83075))
% 192.24/192.22 [8416]~P77(x84161)+E(f329(f329(f82(x84161),f329(x84162,x84163)),f329(f168(x84161),f329(f329(f157(x84164,x84161),x84162),f173(x84164,x84163,x84165)))),f329(f168(x84161),f329(f329(f157(x84164,x84161),x84162),x84165)))+~P1(f329(f329(f331(x84164),x84163),f329(f175(x84164),x84165)))
% 192.24/192.22 [8504]~P112(x85041)+~P19(x85041,f329(f329(f157(x85042,x85041),x85043),x85045))+P19(x85041,f329(f329(f157(x85042,x85041),x85043),f329(f329(f151(x85042,x85041,x85043),x85044),x85045)))
% 192.24/192.22 [8585]P1(f329(x85851,x85852))+P1(f329(f329(f197(x85853),x85852),x85854))+~P1(f329(f329(f197(f29(x85851,x85855,x85853)),x85852),x85854))
% 192.24/192.22 [8596]~P11(x85961)+P1(f329(f329(f239(x85961),f329(f329(f40(x85962,x85961),x85963),x85964)),f329(f329(f40(x85962,x85961),x85965),x85964)))+~P1(f329(f329(f239(f917(x85962,a904)),x85963),x85965))
% 192.24/192.22 [8597]~P11(x85971)+P1(f329(f329(f239(x85971),f329(f329(f41(x85972,x85971),x85973),x85974)),f329(f329(f41(x85972,x85971),x85975),x85974)))+~P1(f329(f329(f239(f917(x85972,a904)),x85975),x85973))
% 192.24/192.22 [8606]~P1(f329(x86064,x86062))+P1(f329(f329(f197(x86061),x86062),x86063))+~P1(f329(f329(f197(f29(x86064,x86061,x86065)),x86062),x86063))
% 192.24/192.22 [8635]~P112(x86353)+P1(f329(f140(x86351),x86352))+~P1(f329(f140(x86351),f329(f329(f151(x86351,x86353,x86354),x86355),x86352)))
% 192.24/192.22 [8645]P1(f329(f329(f197(x86451),x86452),x86453))+P1(f329(f329(f197(x86454),x86452),x86453))+~P1(f329(f329(f197(f29(x86455,x86451,x86454)),x86452),x86453))
% 192.24/192.22 [8777]~P112(x87771)+~P1(f329(f329(f331(x87772),x87773),f329(f175(x87772),x87774)))+~P1(f329(f140(x87772),f329(f329(f151(x87772,x87771,x87775),x87773),x87774)))
% 192.24/192.22 [8858]~P112(x88581)+P19(x88581,f329(f329(f157(x88582,x88581),x88583),x88584))+~P19(x88581,f329(f329(f157(x88582,x88581),x88583),f329(f329(f151(x88582,x88581,x88583),x88585),x88584)))
% 192.24/192.22 [8901]~P31(x89012,x89011,x89014,x89013)+E(f329(f312(x89011,x89012,f94(x89012,x89011,x89013,x89014)),f329(f312(x89012,x89011,x89014),x89015)),x89015)+~P1(f329(f329(f239(f917(x89012,a904)),x89015),x89013))
% 192.24/192.22 [8952]~P112(x89522)+E(f329(f329(f151(x89521,x89522,x89523),x89524),x89525),f152(x89521,x89522,x89523,x89524,x89525))+P1(f329(f329(f331(x89522),f329(x89523,x89524)),f329(f312(x89521,x89522,x89523),f329(f175(x89521),x89525))))
% 192.24/192.22 [9033]~P112(x90332)+E(f152(x90331,x90332,x90333,x90334,x90335),x90335)+~P1(f329(f329(f331(x90332),f329(x90333,x90334)),f329(f312(x90331,x90332,x90333),f329(f175(x90331),x90335))))
% 192.24/192.22 [9051]~P31(x90512,x90511,x90513,x90515)+P1(f329(f329(f240(f917(x90511,a904)),f329(f312(x90512,x90511,x90513),x90514)),f329(f312(x90512,x90511,x90513),x90515)))+~P1(f329(f329(f240(f917(x90512,a904)),x90514),x90515))
% 192.24/192.22 [9210]~P31(x92101,x92102,x92103,f247(f917(x92101,a904)))+~P1(f329(f329(f239(f917(x92102,a904)),x92104),f329(f312(x92101,x92102,x92103),x92105)))+P1(f329(f329(f239(f917(x92101,a904)),f329(f313(x92101,x92102,x92103),x92104)),x92105))
% 192.24/192.22 [9234]~E(f329(f312(x92343,x92341,x92344),f247(f917(x92343,a904))),f247(f917(x92341,a904)))+P1(f329(f329(f239(f917(x92341,a904)),x92342),f329(f312(x92343,x92341,x92344),x92345)))+~P1(f329(f329(f239(f917(x92343,a904)),f329(f313(x92343,x92341,x92344),x92342)),x92345))
% 192.24/192.22 [9349]~P31(x93491,x93494,x93495,f247(f917(x93491,a904)))+~P1(f329(f329(f239(f917(x93494,a904)),f329(f312(x93491,x93494,x93495),x93492)),f329(f312(x93491,x93494,x93495),x93493)))+P1(f329(f329(f239(f917(x93491,a904)),x93492),x93493))
% 192.24/192.22 [9469]~P4(x94691)+~E(f329(x94693,f742(x94693,x94694,x94695,x94692,x94691)),f2(x94691))+E(f329(f168(x94691),f329(f329(f157(x94692,x94691),x94693),f329(f139(x94692,x94694),x94695))),f329(f168(x94691),f329(f329(f157(x94692,x94691),x94693),x94695)))
% 192.24/192.22 [9651]~P22(x96511,x96512,x96513)+~P1(f329(f62(x96511),x96515))+P1(f329(f67(x96511,x96512,x96513,x96514,x96515),f329(f329(f65(x96511,x96512,x96513),x96514),x96515)))
% 192.24/192.22 [9729]~P32(x97292,x97291,x97294,f247(f917(x97292,a904)),f247(f917(x97291,a904)))+~P32(x97291,x97293,x97295,f247(f917(x97291,a904)),f247(f917(x97293,a904)))+E(f329(f74(x97291,x97292,x97293,f94(x97292,x97291,f247(f917(x97292,a904)),x97294)),f94(x97291,x97293,f247(f917(x97291,a904)),x97295)),f94(x97292,x97293,f247(f917(x97292,a904)),f329(f74(x97291,x97293,x97292,x97295),x97294)))
% 192.24/192.22 [9730]P1(f329(x97301,f663(x97302,x97301,x97303,x97304,x97305)))+~P1(f329(f329(f239(f917(x97305,a904)),x97304),x97303))+P1(f329(f329(f239(f917(x97305,a904)),f329(f329(f106(f917(x97305,a904)),x97304),f329(f267(x97305),x97301))),f329(f329(f106(f917(x97305,a904)),x97303),f329(f267(x97305),x97302))))
% 192.24/192.22 [9746]~P4(x97461)+~P1(f329(x97464,f742(x97463,x97464,x97465,x97462,x97461)))+E(f329(f168(x97461),f329(f329(f157(x97462,x97461),x97463),f329(f139(x97462,x97464),x97465))),f329(f168(x97461),f329(f329(f157(x97462,x97461),x97463),x97465)))
% 192.24/192.22 [9823]~P11(x98235)+P1(f329(f329(f331(x98231),f629(x98232,x98233,x98231,x98234,x98235)),x98233))+P1(f329(f329(f239(x98235),x98234),f329(f329(f41(x98231,x98235),x98233),x98232)))
% 192.24/192.22 [9827]~P4(x98271)+E(f329(f168(x98271),f329(f329(f157(x98272,x98271),x98273),f329(f139(x98272,x98274),x98275))),f329(f168(x98271),f329(f329(f157(x98272,x98271),x98273),x98275)))+P1(f329(f329(f331(x98272),f742(x98273,x98274,x98275,x98272,x98271)),f329(f175(x98272),x98275)))
% 192.24/192.22 [9837]~P1(f329(x98375,f663(x98375,x98373,x98374,x98372,x98371)))+~P1(f329(f329(f239(f917(x98371,a904)),x98372),x98374))+P1(f329(f329(f239(f917(x98371,a904)),f329(f329(f106(f917(x98371,a904)),x98372),f329(f267(x98371),x98373))),f329(f329(f106(f917(x98371,a904)),x98374),f329(f267(x98371),x98375))))
% 192.24/192.22 [9853]~P31(x98535,x98533,x98534,f247(f917(x98535,a904)))+P1(f329(x98531,x98532))+P1(f329(f329(f331(x98533),f838(x98532,x98531,x98534,x98533,x98535)),f329(f312(x98535,x98533,x98534),f247(f917(x98535,a904)))))
% 192.24/192.22 [9875]P41(x98751,x98752,x98753,x98754,x98755)+~E(f329(f192(f910(x98752)),x98755),f329(f192(f910(x98751)),x98754))+P1(f329(f329(f240(a909),f723(x98755,x98754,x98753,x98752,x98751)),f329(f192(f910(x98751)),x98754)))
% 192.24/192.22 [9876]P41(x98761,x98762,x98763,x98764,x98765)+~E(f329(f192(f910(x98762)),x98765),f329(f192(f910(x98761)),x98764))+P1(f329(f329(f240(a909),f759(x98763,x98765,x98762,x98764,x98761)),f329(f192(f910(x98761)),x98764)))
% 192.24/192.22 [9909]P1(f329(f329(f331(x99091),f663(x99092,x99093,x99094,x99095,x99091)),x99095))+~P1(f329(f329(f239(f917(x99091,a904)),x99095),x99094))+P1(f329(f329(f239(f917(x99091,a904)),f329(f329(f106(f917(x99091,a904)),x99095),f329(f267(x99091),x99093))),f329(f329(f106(f917(x99091,a904)),x99094),f329(f267(x99091),x99092))))
% 192.24/192.22 [9954]~P11(x99541)+~P1(f329(f329(f239(x99541),x99542),f329(x99545,f629(x99545,x99544,x99543,x99542,x99541))))+P1(f329(f329(f239(x99541),x99542),f329(f329(f41(x99543,x99541),x99544),x99545)))
% 192.24/192.22 [9988]~P80(x99881)+~P1(f329(f62(x99882),x99885))+E(f329(f329(f329(f66(x99881,x99882,f83(x99881)),f329(f329(f18(x99882,x99881,x99881),f329(f329(f8(x99881,f917(x99881,x99881),x99882),f83(x99881)),x99883)),x99884)),f80(x99881)),x99885),f329(f329(f83(x99881),f329(f329(f329(f66(x99881,x99882,f83(x99881)),x99883),f80(x99881)),x99885)),f329(f329(f329(f66(x99881,x99882,f83(x99881)),x99884),f80(x99881)),x99885)))
% 192.24/192.22 [10042]~P1(f329(f329(f331(f916(f917(x100421,a904),f917(x100421,a904))),f329(f329(f257(f917(x100421,a904),f917(x100421,a904)),x100425),x100424)),f320(x100421,x100423)))+~P1(f329(f329(f331(x100421),x100422),x100425))+P1(f329(f329(f331(f916(x100421,x100421)),f329(f329(f257(x100421,x100421),x100422),f592(x100423,x100424,x100425,x100421,x100422))),x100423))
% 192.24/192.22 [10166]~P1(f329(f329(f331(f916(f910(x101661),f910(x101661))),f329(f329(f257(f910(x101661),f910(x101661)),f329(f329(f137(x101661),x101665),x101662)),f329(f329(f137(x101661),x101665),x101663))),f150(x101661,x101664)))+P1(f329(f329(f331(f916(f910(x101661),f910(x101661))),f329(f329(f257(f910(x101661),f910(x101661)),x101662),x101663)),f150(x101661,x101664)))+P1(f329(f329(f331(f916(x101661,x101661)),f329(f329(f257(x101661,x101661),f711(x101664,x101663,x101662,x101665,x101661)),f711(x101664,x101663,x101662,x101665,x101661))),x101664))
% 192.24/192.22 [7349]~E(x73493,x73495)+E(f329(f329(f167(x73491),f329(f329(f162(x73491,x73492),x73493),x73494)),x73495),x73494)+~P1(f329(f329(f240(a909),x73493),f329(f192(f910(x73491)),x73492)))
% 192.24/192.22 [7472]~E(f329(f329(f137(x74721),x74722),x74724),f329(f329(f137(x74721),x74723),x74725))+E(f329(f329(f178(x74721),f329(f192(f910(x74721)),x74722)),x74723),x74722)+P1(f329(f329(f239(a909),f329(f192(f910(x74721)),x74723)),f329(f192(f910(x74721)),x74722)))
% 192.24/192.22 [7978]~E(f329(f329(f137(x79781),x79782),x79784),f329(f329(f137(x79781),x79783),x79785))+E(f329(f329(f178(x79781),f329(f192(f910(x79781)),x79782)),x79783),x79782)+~P1(f329(f329(f239(a909),f329(f192(f910(x79781)),x79782)),f329(f192(f910(x79781)),x79783)))
% 192.24/192.22 [8002]~P1(f329(f62(x80021),f329(x80024,x80025)))+~P1(f329(f329(f331(x80022),x80025),x80023))+P1(f329(f62(x80021),f329(f329(f41(x80022,f917(x80021,a904)),x80023),x80024)))
% 192.24/192.22 [8188]~P61(x81881,x81883,x81885)+~P61(x81881,x81882,x81884)+P61(x81881,f329(f329(f115(f917(x81881,a904)),x81882),x81883),f329(f329(f115(f917(f916(x81881,x81881),a904)),x81884),x81885))
% 192.24/192.22 [8189]~P61(x81891,x81893,x81895)+~P61(x81891,x81892,x81894)+P61(x81891,f329(f329(f106(f917(x81891,a904)),x81892),x81893),f329(f329(f106(f917(f916(x81891,x81891),a904)),x81894),x81895))
% 192.24/192.22 [8545]E(f329(f329(f257(x85451,x85452),f329(f329(f167(x85451),x85453),x85454)),f329(f329(f167(x85452),x85455),x85454)),f329(f329(f167(f916(x85451,x85452)),f329(f329(f184(x85451,x85452),x85453),x85455)),x85454))+~P1(f329(f329(f240(a909),x85454),f329(f192(f910(x85451)),x85453)))+~P1(f329(f329(f240(a909),x85454),f329(f192(f910(x85452)),x85455)))
% 192.24/192.22 [8710]~P61(x87101,x87103,x87104)+P1(f329(f329(f331(x87101),x87102),x87103))+~P1(f329(f329(f331(f916(x87101,x87101)),f329(f329(f257(x87101,x87101),x87105),x87102)),x87104))
% 192.24/192.22 [8711]~P61(x87111,x87113,x87114)+P1(f329(f329(f331(x87111),x87112),x87113))+~P1(f329(f329(f331(f916(x87111,x87111)),f329(f329(f257(x87111,x87111),x87112),x87115)),x87114))
% 192.24/192.22 [8712]~P14(x87121,x87123,x87124)+P1(f329(f329(f331(x87121),x87122),x87123))+~P1(f329(f329(f331(f916(x87121,x87121)),f329(f329(f257(x87121,x87121),x87125),x87122)),x87124))
% 192.24/192.22 [8713]~P14(x87131,x87133,x87134)+P1(f329(f329(f331(x87131),x87132),x87133))+~P1(f329(f329(f331(f916(x87131,x87131)),f329(f329(f257(x87131,x87131),x87132),x87135)),x87134))
% 192.24/192.22 [8974]~P14(x89741,x89745,x89742)+E(f329(f288(x89741,x89741,x89742),f329(f329(f311(x89741),x89743),f191(f917(x89741,a904)))),f329(f288(x89741,x89741,x89742),f329(f329(f311(x89741),x89744),f191(f917(x89741,a904)))))+~P1(f329(f329(f331(f916(x89741,x89741)),f329(f329(f257(x89741,x89741),x89743),x89744)),x89742))
% 192.24/192.22 [9167]P1(f329(x91671,x91672))+~P1(f329(f329(f331(x91673),x91672),x91675))+P1(f329(f329(f331(x91673),f556(x91671,x91674,x91675,x91673)),f329(f329(f115(f917(x91673,a904)),x91675),x91674)))
% 192.24/192.22 [9168]P1(f329(x91681,x91682))+~P1(f329(f329(f331(x91683),x91682),x91684))+P1(f329(f329(f331(x91683),f556(x91681,x91684,x91685,x91683)),f329(f329(f115(f917(x91683,a904)),x91685),x91684)))
% 192.24/192.22 [9176]~P1(f329(x91762,x91765))+~P1(f329(f329(f331(x91761),x91765),x91764))+P1(f329(f329(f331(x91761),f881(x91762,x91763,x91764,x91761)),f329(f329(f115(f917(x91761,a904)),x91764),x91763)))
% 192.24/192.22 [9177]~P1(f329(x91772,x91775))+~P1(f329(f329(f331(x91771),x91775),x91773))+P1(f329(f329(f331(x91771),f881(x91772,x91773,x91774,x91771)),f329(f329(f115(f917(x91771,a904)),x91774),x91773)))
% 192.24/192.22 [9192]~P1(f329(f329(f239(f917(x91921,a904)),x91923),x91925))+~P1(f329(f329(f239(f917(x91921,a904)),x91922),x91924))+P1(f329(f329(f239(f917(x91921,a904)),f329(f329(f115(f917(x91921,a904)),x91922),x91923)),f329(f329(f115(f917(x91921,a904)),x91924),x91925)))
% 192.24/192.22 [9193]~P1(f329(f329(f239(f917(x91931,a904)),x91935),x91933))+~P1(f329(f329(f239(f917(x91931,a904)),x91932),x91934))+P1(f329(f329(f239(f917(x91931,a904)),f329(f329(f23(f917(x91931,a904)),x91932),x91933)),f329(f329(f23(f917(x91931,a904)),x91934),x91935)))
% 192.24/192.22 [9194]~P1(f329(f329(f239(f917(x91941,a904)),x91943),x91945))+~P1(f329(f329(f239(f917(x91941,a904)),x91942),x91944))+P1(f329(f329(f239(f917(x91941,a904)),f329(f329(f106(f917(x91941,a904)),x91942),x91943)),f329(f329(f106(f917(x91941,a904)),x91944),x91945)))
% 192.24/192.22 [9297]P1(f329(f329(f331(f916(x92971,x92971)),f329(f329(f257(x92971,x92971),x92972),x92973)),f323(x92971,x92974,x92975)))+~P1(f329(f329(f239(a909),f329(x92974,x92972)),f329(x92974,x92973)))+~P1(f329(f329(f331(f916(x92971,x92971)),f329(f329(f257(x92971,x92971),x92972),x92973)),x92975))
% 192.24/192.22 [9479]P1(f329(f329(f331(f916(x94791,x94791)),f329(f329(f257(x94791,x94791),x94792),x94793)),f309(x94791,x94794)))+~P1(f329(f329(f331(f916(x94791,x94791)),f329(f329(f257(x94791,x94791),x94792),x94795)),f309(x94791,x94794)))+~P1(f329(f329(f331(f916(x94791,x94791)),f329(f329(f257(x94791,x94791),x94795),x94793)),x94794))
% 192.24/192.22 [9480]P1(f329(f329(f331(f916(x94801,x94801)),f329(f329(f257(x94801,x94801),x94802),x94803)),f309(x94801,x94804)))+~P1(f329(f329(f331(f916(x94801,x94801)),f329(f329(f257(x94801,x94801),x94805),x94803)),f309(x94801,x94804)))+~P1(f329(f329(f331(f916(x94801,x94801)),f329(f329(f257(x94801,x94801),x94802),x94805)),x94804))
% 192.24/192.22 [9578]E(x95781,x95782)+E(f329(a117,f605(x95783,x95784,x95781,x95782,x95785)),x95784)+~P1(f329(f329(f331(f916(x95785,x95785)),f329(f329(f257(x95785,x95785),x95782),x95781)),f329(f329(f186(f916(x95785,x95785),a904),x95784),x95783)))
% 192.24/192.22 [9579]E(x95791,x95792)+E(f329(a117,f607(x95793,x95794,x95791,x95792,x95795)),x95794)+~P1(f329(f329(f331(f916(x95795,x95795)),f329(f329(f257(x95795,x95795),x95792),x95791)),f329(f329(f186(f916(x95795,x95795),a904),x95794),x95793)))
% 192.24/192.22 [9580]E(x95801,f2(a909))+E(f329(a117,f605(x95802,x95801,x95803,x95804,x95805)),x95801)+~P1(f329(f329(f331(f916(x95805,x95805)),f329(f329(f257(x95805,x95805),x95804),x95803)),f329(f329(f186(f916(x95805,x95805),a904),x95801),x95802)))
% 192.24/192.22 [9581]E(x95811,f2(a909))+E(f329(a117,f607(x95812,x95811,x95813,x95814,x95815)),x95811)+~P1(f329(f329(f331(f916(x95815,x95815)),f329(f329(f257(x95815,x95815),x95814),x95813)),f329(f329(f186(f916(x95815,x95815),a904),x95811),x95812)))
% 192.24/192.22 [9603]P1(f329(f329(f331(f916(x96031,x96031)),f329(f329(f257(x96031,x96031),x96032),x96033)),f329(f329(f291(x96031,x96031,x96031),x96034),f309(x96031,x96034))))+~P1(f329(f329(f331(f916(x96031,x96031)),f329(f329(f257(x96031,x96031),x96032),x96035)),x96034))+~P1(f329(f329(f331(f916(x96031,x96031)),f329(f329(f257(x96031,x96031),x96035),x96033)),x96034))
% 192.24/192.22 [9610]~P1(f329(f329(f331(f916(x96101,x96101)),f329(f329(f257(x96101,x96101),x96102),x96105)),f309(x96101,x96104)))+P1(f329(f329(f331(f916(x96101,x96101)),f329(f329(f257(x96101,x96101),x96102),x96103)),f329(f329(f291(x96101,x96101,x96101),x96104),f309(x96101,x96104))))+~P1(f329(f329(f331(f916(x96101,x96101)),f329(f329(f257(x96101,x96101),x96105),x96103)),x96104))
% 192.24/192.22 [9645]~P14(x96451,x96455,x96452)+~P1(f329(f329(f331(f916(x96451,x96451)),f329(f329(f257(x96451,x96451),x96453),x96454)),x96452))+P1(f329(f329(f239(f917(x96451,a904)),f329(f288(x96451,x96451,x96452),f329(f329(f311(x96451),x96453),f191(f917(x96451,a904))))),f329(f288(x96451,x96451,x96452),f329(f329(f311(x96451),x96454),f191(f917(x96451,a904))))))
% 192.24/192.22 [9702]P1(f329(f329(f331(f916(x97021,x97021)),f329(f329(f257(x97021,x97021),x97022),x97023)),f329(f329(f291(x97021,x97021,x97021),x97024),f309(x97021,x97024))))+~P1(f329(f329(f331(f916(x97021,x97021)),f329(f329(f257(x97021,x97021),x97022),x97025)),f329(f329(f291(x97021,x97021,x97021),x97024),f309(x97021,x97024))))+~P1(f329(f329(f331(f916(x97021,x97021)),f329(f329(f257(x97021,x97021),x97025),x97023)),x97024))
% 192.24/192.22 [9703]P1(f329(f329(f331(f916(x97031,x97031)),f329(f329(f257(x97031,x97031),x97032),x97033)),f329(f329(f291(x97031,x97031,x97031),x97034),f309(x97031,x97034))))+~P1(f329(f329(f331(f916(x97031,x97031)),f329(f329(f257(x97031,x97031),x97035),x97033)),f329(f329(f291(x97031,x97031,x97031),x97034),f309(x97031,x97034))))+~P1(f329(f329(f331(f916(x97031,x97031)),f329(f329(f257(x97031,x97031),x97032),x97035)),x97034))
% 192.24/192.22 [9755]~P1(f329(f67(x97551,x97551,x97554,x97552,x97553),x97555))+P1(f329(f329(f331(x97551),x97552),x97553))+P1(f329(f63(x97551,x97554,f329(f329(f311(x97551),x97552),x97553)),x97555))
% 192.24/192.22 [9793]~E(f329(f312(x97933,x97932,x97935),x97934),x97931)+E(x97931,f191(f917(x97932,a904)))+P1(f329(f329(f239(f917(x97933,a904)),f329(f312(x97932,x97933,f523(x97934,x97933,x97932,x97931)),x97931)),x97934))
% 192.24/192.22 [9840]~P11(x98405)+P1(f329(f329(f331(x98401),f441(x98402,x98403,x98404,x98401,x98405)),x98404))+P1(f329(f329(f239(x98405),f329(f329(f40(x98401,x98405),x98404),x98403)),x98402))
% 192.24/192.22 [9895]P41(x98951,x98952,x98953,x98954,x98955)+~E(f329(f192(f910(x98951)),x98954),f329(f192(f910(x98952)),x98955))+P1(f329(f329(f331(f916(x98951,x98952)),f721(x98955,x98954,x98953,x98952,x98951)),f329(f175(f916(x98951,x98952)),f329(f329(f184(x98951,x98952),x98954),x98955))))
% 192.24/192.22 [9896]P41(x98961,x98962,x98963,x98964,x98965)+~E(f329(f192(f910(x98961)),x98964),f329(f192(f910(x98962)),x98965))+P1(f329(f329(f331(f916(x98961,x98962)),f722(x98963,x98965,x98964,x98962,x98961)),f329(f175(f916(x98961,x98962)),f329(f329(f184(x98961,x98962),x98964),x98965))))
% 192.24/192.22 [10021]E(x100211,x100212)+P1(f329(f329(f331(f916(x100213,x100213)),f329(f329(f257(x100213,x100213),x100211),f608(x100214,x100215,x100212,x100211,x100213))),x100214))+~P1(f329(f329(f331(f916(x100213,x100213)),f329(f329(f257(x100213,x100213),x100211),x100212)),f329(f329(f186(f916(x100213,x100213),a904),x100215),x100214)))
% 192.24/192.22 [10022]E(x100221,f2(a909))+P1(f329(f329(f331(f916(x100222,x100222)),f329(f329(f257(x100222,x100222),x100223),f608(x100224,x100221,x100225,x100223,x100222))),x100224))+~P1(f329(f329(f331(f916(x100222,x100222)),f329(f329(f257(x100222,x100222),x100223),x100225)),f329(f329(f186(f916(x100222,x100222),a904),x100221),x100224)))
% 192.24/192.22 [10063]~P11(x100631)+~P1(f329(f329(f239(x100631),f329(x100634,f441(x100635,x100634,x100633,x100632,x100631))),x100635))+P1(f329(f329(f239(x100631),f329(f329(f40(x100632,x100631),x100633),x100634)),x100635))
% 192.24/192.22 [10104]E(x101041,x101042)+P1(f329(f329(f331(f916(x101043,x101043)),f329(f329(f257(x101043,x101043),f606(x101044,x101045,x101041,x101042,x101043)),x101041)),x101044))+~P1(f329(f329(f331(f916(x101043,x101043)),f329(f329(f257(x101043,x101043),x101042),x101041)),f329(f329(f186(f916(x101043,x101043),a904),x101045),x101044)))
% 192.24/192.22 [10105]E(x101051,f2(a909))+P1(f329(f329(f331(f916(x101052,x101052)),f329(f329(f257(x101052,x101052),f606(x101053,x101051,x101054,x101055,x101052)),x101054)),x101053))+~P1(f329(f329(f331(f916(x101052,x101052)),f329(f329(f257(x101052,x101052),x101055),x101054)),f329(f329(f186(f916(x101052,x101052),a904),x101051),x101053)))
% 192.24/192.22 [10109]E(x101091,x101092)+P1(f329(f329(f331(f916(x101093,x101093)),f329(f329(f257(x101093,x101093),x101091),f606(x101094,x101095,x101092,x101091,x101093))),f329(f329(f186(f916(x101093,x101093),a904),f605(x101094,x101095,x101092,x101091,x101093)),x101094)))+~P1(f329(f329(f331(f916(x101093,x101093)),f329(f329(f257(x101093,x101093),x101091),x101092)),f329(f329(f186(f916(x101093,x101093),a904),x101095),x101094)))
% 192.24/192.22 [10110]E(x101101,f2(a909))+P1(f329(f329(f331(f916(x101102,x101102)),f329(f329(f257(x101102,x101102),x101103),f606(x101104,x101101,x101105,x101103,x101102))),f329(f329(f186(f916(x101102,x101102),a904),f605(x101104,x101101,x101105,x101103,x101102)),x101104)))+~P1(f329(f329(f331(f916(x101102,x101102)),f329(f329(f257(x101102,x101102),x101103),x101105)),f329(f329(f186(f916(x101102,x101102),a904),x101101),x101104)))
% 192.24/192.22 [10157]E(x101571,x101572)+P1(f329(f329(f331(f916(x101573,x101573)),f329(f329(f257(x101573,x101573),f608(x101574,x101575,x101571,x101572,x101573)),x101571)),f329(f329(f186(f916(x101573,x101573),a904),f607(x101574,x101575,x101571,x101572,x101573)),x101574)))+~P1(f329(f329(f331(f916(x101573,x101573)),f329(f329(f257(x101573,x101573),x101572),x101571)),f329(f329(f186(f916(x101573,x101573),a904),x101575),x101574)))
% 192.24/192.22 [10158]E(x101581,f2(a909))+P1(f329(f329(f331(f916(x101582,x101582)),f329(f329(f257(x101582,x101582),f608(x101583,x101581,x101584,x101585,x101582)),x101584)),f329(f329(f186(f916(x101582,x101582),a904),f607(x101583,x101581,x101584,x101585,x101582)),x101583)))+~P1(f329(f329(f331(f916(x101582,x101582)),f329(f329(f257(x101582,x101582),x101585),x101584)),f329(f329(f186(f916(x101582,x101582),a904),x101581),x101583)))
% 192.24/192.22 [10194]~P77(x101942)+~P1(f329(f62(x101941),x101945))+E(f329(f329(f6(x101941,x101942),f329(f329(f7(x101941,x101942,x101942),f329(f329(f18(x101941,x101942,f917(x101942,x101942)),f329(f329(f8(a904,f917(x101942,f917(x101942,x101942)),x101941),f99(x101942)),f329(f329(f7(x101941,f917(x101941,a904),a904),f331(x101941)),x101943))),x101944)),f2(x101942))),x101945),f329(f329(f6(x101941,x101942),x101944),f329(f329(f106(f917(x101941,a904)),x101945),x101943)))
% 192.24/192.22 [8774]~P77(x87741)+~P1(f329(f62(x87744),x87745))+E(f329(f329(f82(x87741),f329(x87742,x87743)),f329(f329(f6(x87744,x87741),x87742),f329(f329(f23(f917(x87744,a904)),x87745),f329(f329(f311(x87744),x87743),f191(f917(x87744,a904)))))),f329(f329(f6(x87744,x87741),x87742),f329(f329(f311(x87744),x87743),x87745)))
% 192.24/192.22 [8775]~P80(x87751)+~P1(f329(f62(x87754),x87755))+E(f329(f329(f83(x87751),f329(x87752,x87753)),f329(f329(f9(x87754,x87751),x87752),f329(f329(f23(f917(x87754,a904)),x87755),f329(f329(f311(x87754),x87753),f191(f917(x87754,a904)))))),f329(f329(f9(x87754,x87751),x87752),f329(f329(f311(x87754),x87753),x87755)))
% 192.24/192.22 [9096]~P112(x90962)+~P19(x90962,f329(f171(x90962),f329(f329(f157(x90961,x90962),x90964),x90965)))+E(f329(f139(x90961,f329(f329(f8(x90962,a904,x90961),f329(f240(x90962),x90963)),x90964)),x90965),f180(x90961,f329(f329(f8(x90962,a904,x90961),f329(f240(x90962),x90963)),x90964),x90965))
% 192.24/192.22 [9121]~P77(x91211)+E(f329(f329(f82(x91211),f329(f329(f6(a909,x91211),x91212),f305(a909,x91213,x91214))),f329(f329(f6(a909,x91211),x91212),f305(a909,f329(f329(f82(a909),x91214),f80(a909)),f329(f329(f82(a909),x91214),x91215)))),f329(f329(f6(a909,x91211),x91212),f305(a909,x91213,f329(f329(f82(a909),x91214),x91215))))+~P1(f329(f329(f239(a909),x91213),f329(f329(f82(a909),x91214),f80(a909))))
% 192.24/192.22 [9122]~P1(f329(f329(f331(x91221),x91224),x91225))+~P1(f329(f329(f239(f917(x91221,a904)),f329(f175(x91221),x91222)),x91225))+P1(f329(f329(f239(f917(x91221,a904)),f329(f175(x91221),f329(f329(f162(x91221,x91222),x91223),x91224))),x91225))
% 192.24/192.22 [9356]~P11(x93562)+~P1(f329(f62(x93561),x93565))+E(f329(f329(f65(x93561,x93562,f329(f329(f8(x93562,f917(x93562,x93562),x93561),f115(x93562)),x93563)),x93564),x93565),f329(f329(f115(x93562),x93564),f329(f329(f40(x93561,x93562),x93565),x93563)))
% 192.24/192.22 [9357]~P11(x93572)+~P1(f329(f62(x93571),x93575))+E(f329(f329(f65(x93571,x93572,f329(f329(f8(x93572,f917(x93572,x93572),x93571),f106(x93572)),x93573)),x93574),x93575),f329(f329(f106(x93572),x93574),f329(f329(f41(x93571,x93572),x93575),x93573)))
% 192.24/192.22 [9404]E(f329(x94041,x94042),f329(x94041,x94043))+P1(f329(f329(f240(a909),f329(x94041,x94042)),f329(x94041,x94043)))+~P1(f329(f329(f331(f916(x94044,x94044)),f329(f329(f257(x94044,x94044),x94042),x94043)),f156(x94044,f329(f329(f154(f917(x94044,a909)),x94041),x94045))))
% 192.24/192.22 [9437]~E(f329(x94374,x94372),f329(x94374,x94373))+~P1(f329(f329(f331(f916(x94371,x94371)),f329(f329(f257(x94371,x94371),x94372),x94373)),f156(x94371,x94375)))+P1(f329(f329(f331(f916(x94371,x94371)),f329(f329(f257(x94371,x94371),x94372),x94373)),f156(x94371,f329(f329(f154(f917(x94371,a909)),x94374),x94375))))
% 192.24/192.22 [9457]~P31(x94571,x94572,x94573,x94575)+P31(x94571,x94572,x94573,f329(f329(f311(x94571),x94574),x94575))+P1(f329(f329(f331(x94572),f329(x94573,x94574)),f329(f312(x94571,x94572,x94573),f329(f329(f23(f917(x94571,a904)),x94575),f329(f329(f311(x94571),x94574),f191(f917(x94571,a904)))))))
% 192.24/192.22 [9460]P1(f329(x94602,x94605))+~P1(f329(f329(f331(x94601),x94605),f329(f175(x94601),x94603)))+E(f329(f329(f141(x94601),f329(f192(f910(x94601)),f180(x94601,x94602,f329(f329(f137(x94601),x94603),x94604)))),f329(f329(f137(x94601),x94603),x94604)),f329(f329(f137(x94601),f329(f329(f141(x94601),f329(f192(f910(x94601)),f180(x94601,x94602,x94603))),x94603)),x94604))
% 192.24/192.22 [9465]~P1(f329(f329(f331(f916(x94651,x94651)),f329(f329(f257(x94651,x94651),x94652),x94653)),f156(x94651,x94655)))+~P1(f329(f329(f239(a909),f329(x94654,x94652)),f329(x94654,x94653)))+P1(f329(f329(f331(f916(x94651,x94651)),f329(f329(f257(x94651,x94651),x94652),x94653)),f156(x94651,f329(f329(f154(f917(x94651,a909)),x94654),x94655))))
% 192.24/192.22 [9528]P1(f329(f329(f331(f916(x95284,x95284)),f329(f329(f257(x95284,x95284),x95282),x95283)),f156(x95284,x95285)))+P1(f329(f329(f240(a909),f329(x95281,x95282)),f329(x95281,x95283)))+~P1(f329(f329(f331(f916(x95284,x95284)),f329(f329(f257(x95284,x95284),x95282),x95283)),f156(x95284,f329(f329(f154(f917(x95284,a909)),x95281),x95285))))
% 192.24/192.22 [9674]~P1(f329(f329(f331(f916(f910(x96741),f910(x96741))),f329(f329(f257(f910(x96741),f910(x96741)),x96742),x96744)),f161(x96741,x96745)))+~P1(f329(f329(f240(a909),x96743),f329(f192(f910(x96741)),x96742)))+P1(f329(f329(f331(f916(x96741,x96741)),f329(f329(f257(x96741,x96741),f329(f329(f167(x96741),x96742),x96743)),f329(f329(f167(x96741),x96744),x96743))),x96745))
% 192.24/192.22 [9918]E(x99181,f2(a1))+~P1(f329(f50(x99183,x99181),f329(f329(f257(a1,a1),x99184),x99185)))+P1(f329(f50(f329(f329(f83(a1),x99182),x99183),x99181),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f83(a1),x99182),x99184)),f329(f329(f37(a1),f329(f329(f83(a1),x99182),x99185)),x99181))),f46(a1,f329(f329(f83(a1),x99182),x99185),x99181))))
% 192.24/192.22 [9920]~P1(f329(f329(f240(a909),f2(a909)),x99203))+~P1(f329(f49(x99202,x99203),f329(f329(f257(a909,a909),x99204),x99205)))+P1(f329(f49(f329(f329(f83(a909),x99201),x99202),x99203),f329(f329(f257(a909,a909),f329(f329(f82(a909),f329(f329(f83(a909),x99201),x99204)),f329(f329(f37(a909),f329(f329(f83(a909),x99201),x99205)),x99203))),f46(a909,f329(f329(f83(a909),x99201),x99205),x99203))))
% 192.24/192.22 [10217]~P77(x102172)+~P1(f329(f62(x102171),x102174))+E(f329(f329(f6(x102171,x102172),x102173),f329(f267(x102171),f329(f329(f18(x102171,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102171),a327),f329(f329(f7(x102171,f917(x102171,a904),a904),f331(x102171)),x102174))),f329(f329(f7(x102171,f917(x102171,a904),a904),f331(x102171)),x102175)))),f329(f329(f6(x102171,x102172),f329(f329(f7(x102171,x102172,x102172),f329(f329(f18(x102171,x102172,f917(x102172,x102172)),f329(f329(f8(a904,f917(x102172,f917(x102172,x102172)),x102171),f99(x102172)),f329(f329(f7(x102171,f917(x102171,a904),a904),f331(x102171)),x102175))),x102173)),f2(x102172))),x102174))
% 192.24/192.22 [8394]~E(f329(f329(f137(x83941),x83942),x83945),f329(f329(f137(x83941),x83943),x83944))+E(f329(f329(f137(x83941),f329(f329(f141(x83941),f329(f192(f910(x83941)),x83942)),x83943)),x83944),x83945)+P1(f329(f329(f239(a909),f329(f192(f910(x83941)),x83943)),f329(f192(f910(x83941)),x83942)))
% 192.24/192.22 [8599]~E(f329(f329(f137(x85992),x85993),x85991),f329(f329(f137(x85992),x85994),x85995))+E(x85991,f329(f329(f137(x85992),f329(f329(f141(x85992),f329(f192(f910(x85992)),x85993)),x85994)),x85995))+~P1(f329(f329(f239(a909),f329(f192(f910(x85992)),x85993)),f329(f192(f910(x85992)),x85994)))
% 192.24/192.22 [8693]~E(f329(f329(f82(a909),f329(f329(f83(a909),x86933),x86934)),x86931),f329(f329(f82(a909),f329(f329(f83(a909),x86932),x86934)),x86935))+~P1(f329(f329(f239(a909),x86933),x86932))+E(x86931,f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x86932),x86933)),x86934)),x86935))
% 192.24/192.22 [8694]~E(f329(f329(f82(a909),f329(f329(f83(a909),x86941),x86943)),x86944),f329(f329(f82(a909),f329(f329(f83(a909),x86942),x86943)),x86945))+~P1(f329(f329(f239(a909),x86942),x86941))+E(f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x86941),x86942)),x86943)),x86944),x86945)
% 192.24/192.22 [8851]E(f329(f329(f82(a909),f329(f329(f83(a909),x88511),x88512)),x88513),f329(f329(f82(a909),f329(f329(f83(a909),x88514),x88512)),x88515))+~P1(f329(f329(f239(a909),x88514),x88511))+~E(x88515,f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x88511),x88514)),x88512)),x88513))
% 192.24/192.22 [8852]E(f329(f329(f82(a909),f329(f329(f83(a909),x88521),x88522)),x88523),f329(f329(f82(a909),f329(f329(f83(a909),x88524),x88522)),x88525))+~P1(f329(f329(f239(a909),x88524),x88521))+~E(f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x88521),x88524)),x88522)),x88523),x88525)
% 192.24/192.22 [9728]~P70(x97282)+~P1(f329(f62(x97281),x97285))+E(f329(f329(f9(x97281,x97282),f329(f329(f18(x97281,x97282,x97282),f329(f329(f8(x97282,f917(x97282,x97282),x97281),f292(x97282)),x97283)),x97284)),x97285),f329(f329(f292(x97282),f329(f329(f9(x97281,x97282),x97283),x97285)),f329(f329(f9(x97281,x97282),x97284),x97285)))
% 192.24/192.22 [9858]~E(f620(x98585,x98584,x98583,x98582,x98581),f618(x98585,x98584,x98583,x98582,x98581))+P1(f329(f329(f331(f916(x98581,x98581)),f329(f329(f257(x98581,x98581),x98582),x98583)),f309(x98581,x98584)))+~P1(f329(f329(f331(f916(x98581,x98581)),f329(f329(f257(x98581,x98581),x98582),x98583)),f309(x98581,f329(f329(f115(f917(f916(x98581,x98581),a904)),x98584),x98585))))
% 192.24/192.22 [9859]~E(f621(x98595,x98594,x98593,x98592,x98591),f622(x98595,x98594,x98593,x98592,x98591))+P1(f329(f329(f331(f916(x98591,x98591)),f329(f329(f257(x98591,x98591),x98592),x98593)),f309(x98591,x98594)))+~P1(f329(f329(f331(f916(x98591,x98591)),f329(f329(f257(x98591,x98591),x98592),x98593)),f309(x98591,f329(f329(f115(f917(f916(x98591,x98591),a904)),x98594),x98595))))
% 192.24/192.22 [10053]P1(f329(f329(f331(f916(x100531,x100531)),f329(f329(f257(x100531,x100531),x100532),f622(x100535,x100534,x100533,x100532,x100531))),f309(x100531,x100534)))+P1(f329(f329(f331(f916(x100531,x100531)),f329(f329(f257(x100531,x100531),x100532),x100533)),f309(x100531,x100534)))+~P1(f329(f329(f331(f916(x100531,x100531)),f329(f329(f257(x100531,x100531),x100532),x100533)),f309(x100531,f329(f329(f115(f917(f916(x100531,x100531),a904)),x100534),x100535))))
% 192.24/192.22 [10131]P1(f329(f329(f331(f916(x101311,x101311)),f329(f329(f257(x101311,x101311),f618(x101315,x101314,x101313,x101312,x101311)),x101313)),f309(x101311,x101314)))+P1(f329(f329(f331(f916(x101311,x101311)),f329(f329(f257(x101311,x101311),x101312),x101313)),f309(x101311,x101314)))+~P1(f329(f329(f331(f916(x101311,x101311)),f329(f329(f257(x101311,x101311),x101312),x101313)),f309(x101311,f329(f329(f115(f917(f916(x101311,x101311),a904)),x101314),x101315))))
% 192.24/192.22 [10164]P1(f329(f329(f331(f916(x101641,x101641)),f329(f329(f257(x101641,x101641),x101642),x101643)),f309(x101641,x101644)))+P1(f329(f329(f331(f916(x101641,x101641)),f329(f329(f257(x101641,x101641),f620(x101645,x101644,x101643,x101642,x101641)),f618(x101645,x101644,x101643,x101642,x101641))),x101645))+~P1(f329(f329(f331(f916(x101641,x101641)),f329(f329(f257(x101641,x101641),x101642),x101643)),f309(x101641,f329(f329(f115(f917(f916(x101641,x101641),a904)),x101644),x101645))))
% 192.24/192.22 [10165]P1(f329(f329(f331(f916(x101651,x101651)),f329(f329(f257(x101651,x101651),x101652),x101653)),f309(x101651,x101654)))+P1(f329(f329(f331(f916(x101651,x101651)),f329(f329(f257(x101651,x101651),f622(x101655,x101654,x101653,x101652,x101651)),f621(x101655,x101654,x101653,x101652,x101651))),x101655))+~P1(f329(f329(f331(f916(x101651,x101651)),f329(f329(f257(x101651,x101651),x101652),x101653)),f309(x101651,f329(f329(f115(f917(f916(x101651,x101651),a904)),x101654),x101655))))
% 192.24/192.22 [10308]~P1(f329(f329(f331(f916(f910(x103081),f910(x103081))),f329(f329(f257(f910(x103081),f910(x103081)),x103084),x103085)),f161(x103081,x103082)))+~P1(f329(f329(f331(f916(x103081,x103081)),x103083),f329(f175(f916(x103081,x103081)),f329(f329(f184(x103081,x103081),x103084),x103085))))+P1(f329(f329(f262(x103081,x103081,a904),f329(f329(f7(x103081,f917(f916(x103081,x103081),a904),f917(x103081,a904)),f329(f329(f8(f917(x103081,f917(f917(f916(x103081,x103081),a904),a904)),f917(f917(f916(x103081,x103081),a904),f917(x103081,a904)),x103081),f7(x103081,f917(f916(x103081,x103081),a904),a904)),f329(f329(f8(f917(x103081,f916(x103081,x103081)),f917(x103081,f917(f917(f916(x103081,x103081),a904),a904)),x103081),f329(f8(f916(x103081,x103081),f917(f917(f916(x103081,x103081),a904),a904),x103081),f331(f916(x103081,x103081)))),f257(x103081,x103081)))),x103082)),x103083))
% 192.24/192.22 [9759]~P1(f329(f329(f239(a909),x97593),x97592))+~P1(f329(f329(f240(a909),f329(f329(f82(a909),f329(f329(f83(a909),x97593),x97594)),x97591)),f329(f329(f82(a909),f329(f329(f83(a909),x97592),x97594)),x97595)))+P1(f329(f329(f240(a909),x97591),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x97592),x97593)),x97594)),x97595)))
% 192.24/192.22 [9760]~P1(f329(f329(f239(a909),x97603),x97602))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),f329(f329(f83(a909),x97603),x97604)),x97601)),f329(f329(f82(a909),f329(f329(f83(a909),x97602),x97604)),x97605)))+P1(f329(f329(f239(a909),x97601),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x97602),x97603)),x97604)),x97605)))
% 192.24/192.22 [9777]~P1(f329(f329(f239(a909),x97771),x97774))+P1(f329(f329(f240(a909),f329(f329(f82(a909),f329(f329(f83(a909),x97771),x97772)),x97773)),f329(f329(f82(a909),f329(f329(f83(a909),x97774),x97772)),x97775)))+~P1(f329(f329(f240(a909),x97773),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x97774),x97771)),x97772)),x97775)))
% 192.24/192.22 [9778]~P1(f329(f329(f239(a909),x97781),x97784))+P1(f329(f329(f239(a909),f329(f329(f82(a909),f329(f329(f83(a909),x97781),x97782)),x97783)),f329(f329(f82(a909),f329(f329(f83(a909),x97784),x97782)),x97785)))+~P1(f329(f329(f239(a909),x97783),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x97784),x97781)),x97782)),x97785)))
% 192.24/192.22 [9893]~P1(f329(f329(f239(a909),x98932),x98931))+~P1(f329(f329(f240(a909),f329(f329(f82(a909),f329(f329(f83(a909),x98931),x98933)),x98934)),f329(f329(f82(a909),f329(f329(f83(a909),x98932),x98933)),x98935)))+P1(f329(f329(f240(a909),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x98931),x98932)),x98933)),x98934)),x98935))
% 192.24/192.22 [9894]~P1(f329(f329(f239(a909),x98942),x98941))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),f329(f329(f83(a909),x98941),x98943)),x98944)),f329(f329(f82(a909),f329(f329(f83(a909),x98942),x98943)),x98945)))+P1(f329(f329(f239(a909),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x98941),x98942)),x98943)),x98944)),x98945))
% 192.24/192.22 [9939]~P1(f329(f329(f239(a909),x99394),x99391))+P1(f329(f329(f240(a909),f329(f329(f82(a909),f329(f329(f83(a909),x99391),x99392)),x99393)),f329(f329(f82(a909),f329(f329(f83(a909),x99394),x99392)),x99395)))+~P1(f329(f329(f240(a909),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x99391),x99394)),x99392)),x99393)),x99395))
% 192.24/192.22 [9940]~P1(f329(f329(f239(a909),x99404),x99401))+P1(f329(f329(f239(a909),f329(f329(f82(a909),f329(f329(f83(a909),x99401),x99402)),x99403)),f329(f329(f82(a909),f329(f329(f83(a909),x99404),x99402)),x99405)))+~P1(f329(f329(f239(a909),f329(f329(f82(a909),f329(f329(f83(a909),f329(f329(f23(a909),x99401),x99404)),x99402)),x99403)),x99405))
% 192.24/192.22 [10152]~P17(x101521,x101522,x101525,x101523)+~P1(f329(f329(f331(f916(x101521,x101521)),x101524),x101525))+P1(f329(f329(f262(x101521,x101521,a904),f329(f329(f7(x101521,f917(x101521,x101522),f917(x101521,a904)),f329(f329(f8(f917(x101522,a904),f917(f917(x101521,x101522),f917(x101521,a904)),x101521),f8(x101522,a904,x101521)),f329(f329(f8(x101522,f917(x101522,a904),x101521),a326),x101523))),x101523)),x101524))
% 192.24/192.22 [10173]~P113(x101731)+~P47(x101731,f917(x101732,a904),x101733)+P47(x101731,f917(x101732,a904),f329(f329(f7(x101731,f917(x101732,a904),f917(x101732,a904)),f329(f329(f8(f917(x101732,a904),f917(f917(x101732,a904),f917(x101732,a904)),x101731),f115(f917(x101732,a904))),f329(f329(f7(x101731,f917(x101732,a904),f917(x101732,a904)),f329(f329(f8(f917(x101732,a904),f917(f917(x101732,a904),f917(x101732,a904)),x101731),f115(f917(x101732,a904))),x101733)),x101734))),x101735))
% 192.24/192.22 [7365]~P49(x73654,x73652,x73655,x73656)+P49(f29(x73651,x73653,x73654),x73652,x73655,x73656)+P1(f329(x73651,x73652))
% 192.24/192.22 [7440]~P49(x74402,x74404,x74405,x74406)+P49(f29(x74401,x74402,x74403),x74404,x74405,x74406)+~P1(f329(x74401,x74404))
% 192.24/192.22 [7525]P49(x75253,x75252,x75254,x75255)+~P49(f29(x75251,x75256,x75253),x75252,x75254,x75255)+P1(f329(x75251,x75252))
% 192.24/192.22 [7556]P49(x75561,x75562,x75563,x75564)+~P49(f29(x75565,x75561,x75566),x75562,x75563,x75564)+~P1(f329(x75565,x75562))
% 192.24/192.22 [7926]~P49(x79261,x79263,x79264,x79266)+~P49(x79262,x79266,x79264,x79265)+P49(f32(x79261,x79262),x79263,x79264,x79265)
% 192.24/192.22 [7929]P49(x79291,x79292,x79293,x79294)+P49(x79295,x79292,x79293,x79294)+~P49(f29(x79296,x79291,x79295),x79292,x79293,x79294)
% 192.24/192.22 [8557]~P25(x85576,x85571,x85572,x85574)+E(f329(f74(x85571,x85571,x85571,f329(x85572,x85573)),f329(x85574,x85575)),f329(f74(x85571,x85571,x85571,f329(x85574,x85575)),f329(x85572,x85573)))+~P1(f329(f62(x85576),x85575))
% 192.24/192.22 [8986]~P31(x89861,x89863,x89865,x89866)+~P31(x89863,x89862,x89864,f329(f312(x89861,x89863,x89865),x89866))+P31(x89861,x89862,f329(f74(x89863,x89862,x89861,x89864),x89865),x89866)
% 192.24/192.22 [9562]~P1(f329(f329(x95623,x95622),x95626))+~P1(f329(f329(x95624,x95625),x95622))+P1(f329(f329(f331(x95621),x95622),f302(x95621,x95623,x95624,x95625,x95626)))
% 192.24/192.22 [9563]~P1(f329(f329(x95634,x95632),x95636))+~P1(f329(f329(x95633,x95635),x95632))+P1(f329(f329(f331(x95631),x95632),f299(x95631,x95633,x95634,x95635,x95636)))
% 192.24/192.22 [9675]E(x96751,x96752)+E(x96753,x96754)+~P1(f329(f329(f331(f916(f910(x96755),f910(x96755))),f329(f329(f257(f910(x96755),f910(x96755)),f329(f329(f154(x96755),x96753),x96751)),f329(f329(f154(x96755),x96754),x96752))),f160(x96755,x96756)))
% 192.24/192.22 [9684]~E(x96842,x96844)+P1(f329(f329(f331(f916(f910(x96841),f910(x96841))),f329(f329(f257(f910(x96841),f910(x96841)),f329(f329(f154(x96841),x96842),x96843)),f329(f329(f154(x96841),x96844),x96845))),f148(x96841,x96846)))+~P1(f329(f329(f331(f916(f910(x96841),f910(x96841))),f329(f329(f257(f910(x96841),f910(x96841)),x96843),x96845)),f148(x96841,x96846)))
% 192.24/192.22 [9685]~E(x96852,x96854)+P1(f329(f329(f331(f916(f910(x96851),f910(x96851))),f329(f329(f257(f910(x96851),f910(x96851)),f329(f329(f154(x96851),x96852),x96853)),f329(f329(f154(x96851),x96854),x96855))),f150(x96851,x96856)))+~P1(f329(f329(f331(f916(f910(x96851),f910(x96851))),f329(f329(f257(f910(x96851),f910(x96851)),x96853),x96855)),f150(x96851,x96856)))
% 192.24/192.22 [9686]~E(x96862,x96864)+P1(f329(f329(f331(f916(f910(x96861),f910(x96861))),f329(f329(f257(f910(x96861),f910(x96861)),f329(f329(f154(x96861),x96862),x96863)),f329(f329(f154(x96861),x96864),x96865))),f160(x96861,x96866)))+~P1(f329(f329(f331(f916(f910(x96861),f910(x96861))),f329(f329(f257(f910(x96861),f910(x96861)),x96863),x96865)),f160(x96861,x96866)))
% 192.24/192.22 [9687]~E(x96872,x96874)+P1(f329(f329(f331(f916(f910(x96871),f910(x96871))),f329(f329(f257(f910(x96871),f910(x96871)),f329(f329(f137(x96871),x96872),x96873)),f329(f329(f137(x96871),x96874),x96875))),f160(x96871,x96876)))+~P1(f329(f329(f331(f916(f910(x96871),f910(x96871))),f329(f329(f257(f910(x96871),f910(x96871)),x96873),x96875)),f160(x96871,x96876)))
% 192.24/192.22 [9688]~E(x96883,x96885)+P1(f329(f329(f331(f916(f910(x96881),f910(x96881))),f329(f329(f257(f910(x96881),f910(x96881)),f329(f329(f137(x96881),x96882),x96883)),f329(f329(f137(x96881),x96884),x96885))),f160(x96881,x96886)))+~P1(f329(f329(f331(f916(f910(x96881),f910(x96881))),f329(f329(f257(f910(x96881),f910(x96881)),x96882),x96884)),f160(x96881,x96886)))
% 192.24/192.22 [9747]E(x97471,x97472)+P1(f329(f329(f331(f916(f910(x97473),f910(x97473))),f329(f329(f257(f910(x97473),f910(x97473)),x97471),x97472)),f160(x97473,x97474)))+~P1(f329(f329(f331(f916(f910(x97473),f910(x97473))),f329(f329(f257(f910(x97473),f910(x97473)),f329(f329(f154(x97473),x97475),x97471)),f329(f329(f154(x97473),x97476),x97472))),f160(x97473,x97474)))
% 192.24/192.22 [9897]~E(x98973,x98975)+P1(f329(f329(f331(f916(f910(x98971),f910(x98971))),f329(f329(f257(f910(x98971),f910(x98971)),f329(f329(f137(x98971),x98972),f329(f329(f154(x98971),x98973),f118(x98971)))),f329(f329(f137(x98971),x98974),f329(f329(f154(x98971),x98975),f118(x98971))))),f160(x98971,x98976)))+~P1(f329(f329(f331(f916(f910(x98971),f910(x98971))),f329(f329(f257(f910(x98971),f910(x98971)),x98972),x98974)),f160(x98971,x98976)))
% 192.24/192.22 [9943]E(x99431,x99432)+E(x99433,x99434)+~P1(f329(f329(f331(f916(f910(x99435),f910(x99435))),f329(f329(f257(f910(x99435),f910(x99435)),f329(f329(f137(x99435),x99433),f329(f329(f154(x99435),x99431),f118(x99435)))),f329(f329(f137(x99435),x99434),f329(f329(f154(x99435),x99432),f118(x99435))))),f160(x99435,x99436)))
% 192.24/192.22 [9968]E(x99681,x99682)+~P1(f329(f329(f331(f916(f910(x99683),f910(x99683))),f329(f329(f257(f910(x99683),f910(x99683)),f329(f329(f137(x99683),x99681),f329(f329(f154(x99683),x99685),f118(x99683)))),f329(f329(f137(x99683),x99682),f329(f329(f154(x99683),x99686),f118(x99683))))),f160(x99683,x99684)))+P1(f329(f329(f331(f916(f910(x99683),f910(x99683))),f329(f329(f257(f910(x99683),f910(x99683)),x99681),x99682)),f160(x99683,x99684)))
% 192.24/192.22 [10004]~P1(f329(f329(f331(f916(f917(x100041,a904),f917(x100041,a904))),f329(f329(f257(f917(x100041,a904),f917(x100041,a904)),x100042),x100044)),f320(x100041,x100046)))+~P1(f329(f329(f331(f916(f917(x100041,a904),f917(x100041,a904))),f329(f329(f257(f917(x100041,a904),f917(x100041,a904)),x100043),x100045)),f320(x100041,x100046)))+P1(f329(f329(f331(f916(f917(x100041,a904),f917(x100041,a904))),f329(f329(f257(f917(x100041,a904),f917(x100041,a904)),f329(f329(f115(f917(x100041,a904)),x100042),x100043)),f329(f329(f115(f917(x100041,a904)),x100044),x100045))),f320(x100041,x100046)))
% 192.24/192.22 [5770]~E(f329(f329(f137(x57701),x57706),x57703),x57705)+E(f329(f329(f137(x57701),x57702),x57703),f329(f329(f154(x57701),x57704),x57705))+~E(x57702,f329(f329(f154(x57701),x57704),x57706))
% 192.24/192.22 [5771]~E(f329(f329(f137(x57711),x57716),x57713),x57715)+E(f329(f329(f137(x57711),x57712),x57713),f329(f329(f137(x57711),x57714),x57715))+~E(x57712,f329(f329(f137(x57711),x57714),x57716))
% 192.24/192.22 [5773]E(f329(f329(f137(x57731),x57732),x57733),f329(f329(f154(x57731),x57734),x57735))+~E(f329(f329(f154(x57731),x57734),x57736),x57732)+~E(x57735,f329(f329(f137(x57731),x57736),x57733))
% 192.24/192.22 [5775]~E(f329(f329(f137(x57751),x57752),x57756),x57754)+E(f329(f329(f137(x57751),x57752),x57753),f329(f329(f137(x57751),x57754),x57755))+~E(x57753,f329(f329(f137(x57751),x57756),x57755))
% 192.24/192.22 [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)))
% 192.24/192.22 [7296]~P25(x72964,x72965,x72966,x72961)+E(f329(f329(x72961,x72962),x72963),f329(f329(f65(x72964,x72965,x72966),x72963),x72962))+~P1(f329(f62(x72964),x72962))
% 192.24/192.22 [7370]~E(x73702,f329(x73704,x73706))+~P1(f329(f329(f331(x73703),x73706),x73705))+P1(f329(f329(f331(x73701),x73702),f329(f312(x73703,x73701,x73704),x73705)))
% 192.24/192.22 [7371]~E(f329(x73714,x73712),x73716)+~P1(f329(f329(f331(x73713),x73716),x73715))+P1(f329(f329(f331(x73711),x73712),f329(f313(x73711,x73713,x73714),x73715)))
% 192.24/192.22 [7828]~P39(x78281,x78282,x78284,x78286)+P39(x78281,x78282,f329(f329(f154(x78281),x78283),x78284),f329(f329(f154(x78281),x78285),x78286))+~P1(f329(f329(x78282,x78283),x78285))
% 192.24/192.22 [8859]~P65(x88594,x88595,x88591,x88592,x88596)+E(f329(x88591,f329(x88592,x88593)),x88593)+~P1(f329(f329(f331(x88595),x88593),x88596))
% 192.24/192.22 [9365]~P32(x93652,x93651,x93655,x93654,x93653)+E(f329(f94(x93651,x93652,x93653,f94(x93652,x93651,x93654,x93655)),x93656),f329(x93655,x93656))+~P1(f329(f329(f331(x93652),x93656),x93654))
% 192.24/192.22 [9375]~P31(x93751,x93752,x93753,x93756)+P31(x93751,x93752,f76(x93751,x93752,x93753,x93754,x93755),x93756)+P1(f329(f329(f331(x93752),x93755),f329(f312(x93751,x93752,x93753),x93756)))
% 192.24/192.22 [9677]E(x96771,x96772)+E(f329(f192(f910(x96773)),x96774),f329(f192(f910(x96773)),x96775))+~P1(f329(f329(f331(f916(f910(x96773),f910(x96773))),f329(f329(f257(f910(x96773),f910(x96773)),f329(f329(f154(x96773),x96771),x96774)),f329(f329(f154(x96773),x96772),x96775))),f148(x96773,x96776)))
% 192.24/192.22 [9741]~P22(x97411,x97412,x97413)+E(f329(f329(f65(x97411,x97412,x97413),x97414),x97415),x97416)+~P1(f329(f67(x97411,x97412,x97413,x97414,x97415),x97416))
% 192.24/192.22 [9750]E(f329(f192(f910(x97501)),x97502),f329(f192(f910(x97501)),x97503))+P1(f329(f329(f331(f916(f910(x97501),f910(x97501))),f329(f329(f257(f910(x97501),f910(x97501)),x97502),x97503)),f148(x97501,x97504)))+~P1(f329(f329(f331(f916(f910(x97501),f910(x97501))),f329(f329(f257(f910(x97501),f910(x97501)),f329(f329(f154(x97501),x97505),x97502)),f329(f329(f154(x97501),x97506),x97503))),f148(x97501,x97504)))
% 192.24/192.22 [9771]~P1(f329(f329(f331(f916(x97711,x97711)),f329(f329(f257(x97711,x97711),x97712),x97714)),f309(x97711,x97716)))+P1(f329(f329(f331(f916(f910(x97711),f910(x97711))),f329(f329(f257(f910(x97711),f910(x97711)),f329(f329(f154(x97711),x97712),x97713)),f329(f329(f154(x97711),x97714),x97715))),f309(f910(x97711),f160(x97711,x97716))))+~P1(f329(f329(f331(f916(f910(x97711),f910(x97711))),f329(f329(f257(f910(x97711),f910(x97711)),x97713),x97715)),f309(f910(x97711),f160(x97711,x97716))))
% 192.24/192.22 [9949]~P1(f329(x99492,x99496))+~E(f329(f139(x99491,x99492),x99493),f329(f329(f154(x99491),x99494),x99495))+~P1(f329(f329(f331(x99491),x99496),f329(f175(x99491),f766(x99495,x99494,x99493,x99492,x99491))))
% 192.24/192.22 [9950]~P1(f329(x99504,x99506))+~E(f329(f329(f154(x99501),x99502),x99503),f329(f139(x99501,x99504),x99505))+~P1(f329(f329(f331(x99501),x99506),f329(f175(x99501),f768(x99505,x99504,x99503,x99502,x99501))))
% 192.24/192.22 [10253]~P77(x102532)+E(f329(f329(f6(x102531,x102532),f329(f329(f8(f917(x102533,a904),x102532,x102531),f329(f6(x102533,x102532),x102534)),f329(f329(f8(f917(x102533,a904),f917(x102533,a904),x102531),f267(x102533)),f329(f329(f8(f917(x102533,a904),f917(x102533,a904),x102531),f329(f18(x102533,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102533),a327),f329(f329(f7(x102533,f917(x102533,a904),a904),f331(x102533)),x102535)))),f329(f7(x102533,x102531,a904),f329(f329(f8(x102531,f917(x102531,a904),x102533),a326),x102536)))))),f329(f312(x102533,x102531,x102536),x102535)),f329(f329(f6(x102533,x102532),x102534),x102535))+~P1(f329(f62(x102533),x102535))
% 192.24/192.22 [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))
% 192.24/192.22 [6974]P1(f329(x69741,x69742))+~E(f169(x69743,x69741,x69744),f329(f329(f257(f910(x69743),f910(x69743)),x69745),x69746))+~P1(f329(f329(f331(x69743),x69742),f329(f175(x69743),x69745)))
% 192.24/192.22 [7017]~P1(f329(x70172,x70176))+~E(f169(x70171,x70172,x70173),f329(f329(f257(f910(x70171),f910(x70171)),x70174),x70175))+~P1(f329(f329(f331(x70171),x70176),f329(f175(x70171),x70175)))
% 192.24/192.22 [7692]~P20(x76921,x76922,x76923)+~P1(f329(f62(x76921),x76926))+E(f329(f329(f65(x76921,x76922,x76923),x76924),f329(f329(f311(x76921),x76925),x76926)),f329(f329(f65(x76921,x76922,x76923),f329(f329(x76923,x76925),x76924)),x76926))
% 192.24/192.22 [7743]~P112(x77432)+~P1(f329(f329(f239(x77432),f329(x77433,x77434)),f329(x77433,x77435)))+E(f329(f329(f151(x77431,x77432,x77433),x77434),f329(f329(f154(x77431),x77435),x77436)),f329(f329(f154(x77431),x77434),f329(f329(f154(x77431),x77435),x77436)))
% 192.24/192.22 [7857]E(x78571,x78572)+~E(f329(f329(f259(x78573,x78574),x78571),f329(f16(f917(x78574,a904),x78573),x78575)),f329(f329(f259(x78573,x78574),x78572),f329(f16(f917(x78574,a904),x78573),x78575)))+~P1(f329(f329(f331(x78574),x78576),x78575))
% 192.24/192.22 [7931]~P20(x79311,x79312,x79313)+~P1(f329(f62(x79311),x79316))+E(f329(f329(f65(x79311,x79312,x79313),x79314),f329(f329(f311(x79311),x79315),x79316)),f329(f329(x79313,x79315),f329(f329(f65(x79311,x79312,x79313),x79314),x79316)))
% 192.24/192.22 [8048]~P22(x80481,x80482,x80483)+~P1(f329(f62(x80481),x80486))+E(f329(f329(f65(x80481,x80482,x80483),f329(f329(x80483,x80484),x80485)),x80486),f329(f329(x80483,x80484),f329(f329(f65(x80481,x80482,x80483),x80485),x80486)))
% 192.24/192.22 [8119]~P26(x81192,x81195,x81196,x81191)+~P1(f329(f62(x81192),x81194))+E(f329(x81191,f329(f329(f311(x81192),x81193),x81194)),f329(f74(x81195,x81195,x81195,f329(x81191,x81194)),f329(x81196,x81193)))
% 192.24/192.22 [8157]~P112(x81572)+P1(f329(f329(f239(x81572),f329(x81573,x81574)),f329(x81573,x81575)))+E(f329(f329(f151(x81571,x81572,x81573),x81574),f329(f329(f154(x81571),x81575),x81576)),f329(f329(f154(x81571),x81575),f329(f329(f151(x81571,x81572,x81573),x81574),x81576)))
% 192.24/192.22 [8300]~E(f329(f192(f910(x83001)),x83005),f329(f192(f910(x83002)),x83006))+~E(f329(f192(f910(x83001)),x83003),f329(f192(f910(x83002)),x83004))+E(f329(f329(f137(f916(x83001,x83002)),f329(f329(f184(x83001,x83002),x83003),x83004)),f329(f329(f184(x83001,x83002),x83005),x83006)),f329(f329(f184(x83001,x83002),f329(f329(f137(x83001),x83003),x83005)),f329(f329(f137(x83002),x83004),x83006)))
% 192.24/192.22 [8412]~E(x84122,f329(f312(x84123,x84121,x84124),x84126))+P1(f329(f329(f239(f917(x84121,a904)),x84122),f329(f312(x84123,x84121,x84124),x84125)))+~P1(f329(f329(f239(f917(x84123,a904)),x84126),x84125))
% 192.24/192.22 [8515]~P112(x85155)+E(f329(x85151,x85152),f329(x85151,x85153))+E(f329(f329(f151(x85154,x85155,x85151),x85152),f329(f329(f151(x85154,x85155,x85151),x85153),x85156)),f329(f329(f151(x85154,x85155,x85151),x85153),f329(f329(f151(x85154,x85155,x85151),x85152),x85156)))
% 192.24/192.22 [8702]~P1(f329(f329(f331(x87022),x87024),f329(x87026,x87023)))+~P1(f329(f329(f331(x87021),x87023),x87025))+P1(f329(f329(f331(f916(x87021,x87022)),f329(f329(f257(x87021,x87022),x87023),x87024)),f329(f329(f259(x87021,x87022),x87025),x87026)))
% 192.24/192.22 [9165]~P77(x91652)+~P31(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))
% 192.24/192.22 [9166]~P80(x91662)+~P31(x91664,x91661,x91665,x91666)+E(f329(f329(f9(x91661,x91662),x91663),f329(f312(x91664,x91661,x91665),x91666)),f329(f329(f9(x91664,x91662),f329(f74(x91661,x91662,x91664,x91663),x91665)),x91666))
% 192.24/192.22 [9212]~P41(x92122,x92125,x92121,x92123,x92126)+P1(f329(f329(x92121,f329(f329(f167(x92122),x92123),x92124)),f329(f329(f167(x92125),x92126),x92124)))+~P1(f329(f329(f240(a909),x92124),f329(f192(f910(x92125)),x92126)))
% 192.24/192.22 [9213]~P41(x92132,x92135,x92131,x92133,x92136)+P1(f329(f329(x92131,f329(f329(f167(x92132),x92133),x92134)),f329(f329(f167(x92135),x92136),x92134)))+~P1(f329(f329(f240(a909),x92134),f329(f192(f910(x92132)),x92133)))
% 192.24/192.22 [9224]~E(f329(f312(x92241,x92242,x92243),x92244),x92246)+E(f329(f312(x92241,x92242,x92243),f329(f312(x92242,x92241,f94(x92241,x92242,x92244,x92243)),x92245)),x92245)+~P1(f329(f329(f239(f917(x92242,a904)),x92245),x92246))
% 192.24/192.22 [9432]~P25(x94323,x94321,x94326,x94322)+~P1(f329(f62(x94323),x94324))+E(f329(f74(x94321,x94321,x94321,f329(x94322,f329(f329(f23(f917(x94323,a904)),x94324),f329(f329(f311(x94323),x94325),f191(f917(x94323,a904)))))),f329(x94326,x94325)),f329(x94322,f329(f329(f311(x94323),x94325),x94324)))
% 192.24/192.22 [9444]~P1(f329(f329(f331(x94445),x94443),x94446))+P1(f329(f329(f331(x94441),f329(x94442,x94443)),f101(f917(x94441,a904),x94444)))+~P1(f329(f329(f239(f917(x94441,a904)),f329(f312(x94445,x94441,x94442),x94446)),f329(x94444,f329(f312(x94445,x94441,x94442),x94446))))
% 192.24/192.22 [10033]~E(f329(f312(x100332,x100334,x100336),f247(f917(x100332,a904))),f247(f917(x100334,a904)))+~E(f329(f312(x100331,x100333,x100335),f247(f917(x100331,a904))),f247(f917(x100333,a904)))+E(f329(f312(f916(x100331,x100332),f916(x100333,x100334),f263(x100331,x100333,x100332,x100334,x100335,x100336)),f247(f917(f916(x100331,x100332),a904))),f247(f917(f916(x100333,x100334),a904)))
% 192.24/192.22 [10081]~P31(x100813,x100814,x100815,f329(x100816,f652(x100816,x100815,x100814,x100813,x100812,x100811)))+P31(x100813,x100814,x100815,f329(f329(f41(x100812,f917(x100813,a904)),x100811),x100816))+E(x100811,f191(f917(x100812,a904)))
% 192.24/192.22 [10138]P31(x101386,x101385,x101384,f329(f329(f41(x101382,f917(x101386,a904)),x101381),x101383))+E(x101381,f191(f917(x101382,a904)))+P1(f329(f329(f331(x101382),f652(x101383,x101384,x101385,x101386,x101382,x101381)),x101381))
% 192.24/192.22 [10143]P1(f329(f329(f331(x101431),f584(x101432,x101433,x101434,x101435,x101436,x101431)),x101436))+P1(f329(f329(f239(f917(f916(x101431,x101434),a904)),f329(f329(f259(x101431,x101434),x101436),x101433)),f329(f329(f259(x101431,x101434),x101435),x101432)))+~P1(f329(f329(f239(f917(x101431,a904)),x101436),x101435))
% 192.24/192.22 [10179]P30(x101796,x101795,f329(f329(f311(f908(x101796)),f329(f329(f329(f93(x101796),x101791),x101793),x101792)),f191(f917(f908(x101796),a904))))+~P30(x101796,x101795,f329(f329(f311(f908(x101796)),f329(f329(f329(f93(x101796),x101794),x101793),x101792)),f191(f917(f908(x101796),a904))))+P1(f329(f329(x101791,f436(x101791,x101792,x101793,x101794,x101795,x101796)),f445(x101791,x101792,x101793,x101794,x101795,x101796)))
% 192.24/192.22 [10180]P30(x101806,x101805,f329(f329(f311(f908(x101806)),f329(f329(f329(f93(x101806),x101804),x101803),x101802)),f191(f917(f908(x101806),a904))))+~P30(x101806,x101805,f329(f329(f311(f908(x101806)),f329(f329(f329(f93(x101806),x101804),x101803),x101801)),f191(f917(f908(x101806),a904))))+P1(f329(f329(x101801,f463(x101802,x101801,x101803,x101804,x101805,x101806)),f471(x101802,x101801,x101803,x101804,x101805,x101806)))
% 192.24/192.22 [10223]~P30(x102231,x102232,f329(f329(f311(f908(x102231)),f329(f329(f329(f93(x102231),x102233),x102234),x102236)),f191(f917(f908(x102231),a904))))+P30(x102231,x102232,f329(f329(f311(f908(x102231)),f329(f329(f329(f93(x102231),x102233),x102234),x102235)),f191(f917(f908(x102231),a904))))+~P1(f329(f329(x102235,f463(x102235,x102236,x102234,x102233,x102232,x102231)),f471(x102235,x102236,x102234,x102233,x102232,x102231)))
% 192.24/192.22 [10224]~P30(x102241,x102242,f329(f329(f311(f908(x102241)),f329(f329(f329(f93(x102241),x102246),x102244),x102245)),f191(f917(f908(x102241),a904))))+P30(x102241,x102242,f329(f329(f311(f908(x102241)),f329(f329(f329(f93(x102241),x102243),x102244),x102245)),f191(f917(f908(x102241),a904))))+~P1(f329(f329(x102246,f436(x102243,x102245,x102244,x102246,x102242,x102241)),f445(x102243,x102245,x102244,x102246,x102242,x102241)))
% 192.24/192.22 [10266]~P1(f329(f329(f239(f917(x102662,a904)),f329(x102664,f584(x102666,x102664,x102662,x102665,x102663,x102661))),f329(x102666,f584(x102666,x102664,x102662,x102665,x102663,x102661))))+~P1(f329(f329(f239(f917(x102661,a904)),x102663),x102665))+P1(f329(f329(f239(f917(f916(x102661,x102662),a904)),f329(f329(f259(x102661,x102662),x102663),x102664)),f329(f329(f259(x102661,x102662),x102665),x102666)))
% 192.24/192.22 [7879]~P1(f329(x78791,x78795))+~P1(f329(x78796,x78794))+P1(f329(x78791,f329(f261(x78792,x78793),f329(f329(f257(x78792,x78793),x78794),x78795))))
% 192.24/192.22 [7880]~P1(f329(x78801,x78804))+~P1(f329(x78806,x78805))+P1(f329(x78801,f329(f256(x78802,x78803),f329(f329(f257(x78802,x78803),x78804),x78805))))
% 192.24/192.22 [7936]~P1(f329(f329(x79364,x79366),x79365))+~P1(f329(f329(f331(x79361),x79366),x79363))+P1(f329(f329(f329(f40(x79361,f917(x79362,a904)),x79363),x79364),x79365))
% 192.24/192.22 [8252]~P1(f329(f329(f331(x82521),x82522),f329(x82525,x82526)))+~P1(f329(f329(f331(x82523),x82526),x82524))+P1(f329(f329(f331(x82521),x82522),f329(f329(f40(x82523,f917(x82521,a904)),x82524),x82525)))
% 192.24/192.22 [8293]P1(f329(f329(x82931,x82932),x82933))+~P1(f329(f329(x82934,x82932),x82933))+~P1(f329(f329(f239(f917(x82935,f917(x82936,a904))),x82934),x82931))
% 192.24/192.22 [8438]P1(f329(f329(x84381,x84382),x84383))+~P1(f329(f329(f331(x84384),x84382),x84385))+~P1(f329(f329(f329(f41(x84384,f917(x84386,a904)),x84385),x84381),x84383))
% 192.24/192.22 [8573]P1(f329(f329(f331(x85731),x85732),f329(x85733,x85734)))+~P1(f329(f329(f331(x85735),x85734),x85736))+~P1(f329(f329(f331(x85731),x85732),f329(f329(f41(x85735,f917(x85731,a904)),x85736),x85733)))
% 192.24/192.22 [8841]~P17(x88414,x88415,x88416,x88411)+E(f329(x88411,x88412),f329(x88411,x88413))+~P1(f329(f329(f331(f916(x88414,x88414)),f329(f329(f257(x88414,x88414),x88412),x88413)),x88416))
% 192.24/192.22 [8872]P1(f329(f329(f239(f917(x88721,a904)),x88722),f329(x88723,x88724)))+~P1(f329(f329(f331(x88725),x88724),x88726))+~P1(f329(f329(f239(f917(x88721,a904)),x88722),f329(f329(f41(x88725,f917(x88721,a904)),x88726),x88723)))
% 192.24/192.22 [8903]~P63(x89033,x89034,f329(f289(x89034,x89033),x89035))+E(x89031,f191(f917(x89032,a904)))+E(f329(f329(f41(x89032,f917(x89033,a904)),x89031),f329(f329(f8(f917(x89034,a904),f917(x89033,a904),x89032),f288(x89034,x89033,x89035)),x89036)),f329(f288(x89034,x89033,x89035),f329(f329(f41(x89032,f917(x89034,a904)),x89031),x89036)))
% 192.24/192.22 [8977]P1(f329(f329(f331(x89771),x89772),f329(f288(x89773,x89771,x89774),x89775)))+~P1(f329(f329(f331(x89773),x89776),x89775))+~P1(f329(f329(f331(f916(x89773,x89771)),f329(f329(f257(x89773,x89771),x89776),x89772)),x89774))
% 192.24/192.22 [9299]P1(f329(f329(f239(f917(x92991,a904)),f329(f288(x92992,x92991,x92993),x92994)),f329(f288(x92992,x92991,x92995),x92996)))+~P1(f329(f329(f239(f917(x92992,a904)),x92994),x92996))+~P1(f329(f329(f239(f917(f916(x92992,x92991),a904)),x92993),x92995))
% 192.24/192.22 [9481]~P1(f329(f329(f331(x94812),x94816),x94814))+~P1(f329(f329(f239(f917(x94811,a904)),x94813),x94815))+P1(f329(f329(f239(f917(f916(x94811,x94812),a904)),f329(f329(f259(x94811,x94812),x94813),f329(f16(f917(x94812,a904),x94811),x94814))),f329(f329(f259(x94811,x94812),x94815),f329(f16(f917(x94812,a904),x94811),x94814))))
% 192.24/192.22 [9493]~P41(x94931,x94932,x94933,x94935,x94936)+P1(f329(f329(f262(x94931,x94932,a904),x94933),x94934))+~P1(f329(f329(f331(f916(x94931,x94932)),x94934),f329(f175(f916(x94931,x94932)),f329(f329(f184(x94931,x94932),x94935),x94936))))
% 192.24/192.22 [9633]~E(x96333,x96335)+P1(f329(f329(f331(f916(f910(x96331),f910(x96331))),f329(f329(f257(f910(x96331),f910(x96331)),f329(f329(f154(x96331),x96332),x96333)),f329(f329(f154(x96331),x96334),x96335))),f160(x96331,x96336)))+~P1(f329(f329(f331(f916(x96331,x96331)),f329(f329(f257(x96331,x96331),x96332),x96334)),x96336))
% 192.24/192.22 [9638]~E(f329(f192(f910(x96381)),x96383),f329(f192(f910(x96381)),x96385))+P1(f329(f329(f331(f916(f910(x96381),f910(x96381))),f329(f329(f257(f910(x96381),f910(x96381)),f329(f329(f154(x96381),x96382),x96383)),f329(f329(f154(x96381),x96384),x96385))),f148(x96381,x96386)))+~P1(f329(f329(f331(f916(x96381,x96381)),f329(f329(f257(x96381,x96381),x96382),x96384)),x96386))
% 192.24/192.22 [9669]P1(f329(f329(f331(f916(x96691,x96691)),f329(f329(f257(x96691,x96691),x96692),x96693)),f329(f329(f186(f916(x96691,x96691),a904),f329(a117,x96694)),x96695)))+~P1(f329(f329(f331(f916(x96691,x96691)),f329(f329(f257(x96691,x96691),x96696),x96693)),x96695))+~P1(f329(f329(f331(f916(x96691,x96691)),f329(f329(f257(x96691,x96691),x96692),x96696)),f329(f329(f186(f916(x96691,x96691),a904),x96694),x96695)))
% 192.24/192.22 [9670]P1(f329(f329(f331(f916(x96701,x96701)),f329(f329(f257(x96701,x96701),x96702),x96703)),f329(f329(f186(f916(x96701,x96701),a904),f329(a117,x96704)),x96705)))+~P1(f329(f329(f331(f916(x96701,x96701)),f329(f329(f257(x96701,x96701),x96702),x96706)),x96705))+~P1(f329(f329(f331(f916(x96701,x96701)),f329(f329(f257(x96701,x96701),x96706),x96703)),f329(f329(f186(f916(x96701,x96701),a904),x96704),x96705)))
% 192.24/192.22 [9673]~P1(f329(f329(f331(x96734),x96735),x96736))+P1(f329(f329(f239(f917(x96731,a904)),x96732),x96733))+~P1(f329(f329(f239(f917(f916(x96731,x96734),a904)),f329(f329(f259(x96731,x96734),x96732),f329(f16(f917(x96734,a904),x96731),x96736))),f329(f329(f259(x96731,x96734),x96733),f329(f16(f917(x96734,a904),x96731),x96736))))
% 192.24/192.22 [9718]E(x97181,x97182)+~P1(f329(f329(f331(f916(f910(x97183),f910(x97183))),f329(f329(f257(f910(x97183),f910(x97183)),f329(f329(f154(x97183),x97181),x97185)),f329(f329(f154(x97183),x97182),x97186))),f148(x97183,x97184)))+P1(f329(f329(f331(f916(x97183,x97183)),f329(f329(f257(x97183,x97183),x97181),x97182)),x97184))
% 192.24/192.22 [9719]E(x97191,x97192)+~P1(f329(f329(f331(f916(f910(x97193),f910(x97193))),f329(f329(f257(f910(x97193),f910(x97193)),f329(f329(f154(x97193),x97191),x97195)),f329(f329(f154(x97193),x97192),x97196))),f150(x97193,x97194)))+P1(f329(f329(f331(f916(x97193,x97193)),f329(f329(f257(x97193,x97193),x97191),x97192)),x97194))
% 192.24/192.22 [9720]E(x97201,x97202)+~P1(f329(f329(f331(f916(f910(x97203),f910(x97203))),f329(f329(f257(f910(x97203),f910(x97203)),f329(f329(f154(x97203),x97201),x97205)),f329(f329(f154(x97203),x97202),x97206))),f160(x97203,x97204)))+P1(f329(f329(f331(f916(x97203,x97203)),f329(f329(f257(x97203,x97203),x97201),x97202)),x97204))
% 192.24/192.22 [9758]P1(f329(f329(f331(f916(f910(x97581),f910(x97581))),f329(f329(f257(f910(x97581),f910(x97581)),f329(f329(f154(x97581),x97582),x97583)),f329(f329(f154(x97581),x97584),x97585))),f161(x97581,x97586)))+~P1(f329(f329(f331(f916(f910(x97581),f910(x97581))),f329(f329(f257(f910(x97581),f910(x97581)),x97583),x97585)),f161(x97581,x97586)))+~P1(f329(f329(f331(f916(x97581,x97581)),f329(f329(f257(x97581,x97581),x97582),x97584)),x97586))
% 192.24/192.22 [9775]P1(f329(x97751,x97752))+~P1(f329(x97751,f438(x97751,x97753,x97754,x97755,x97756)))+~P1(f329(f329(f331(x97756),x97752),f329(f329(f40(x97755,f917(x97756,a904)),x97754),x97753)))
% 192.24/192.22 [9780]~P1(f329(f329(f331(f916(f910(x97801),f910(x97801))),f329(f329(f257(f910(x97801),f910(x97801)),f329(f329(f154(x97801),x97802),x97805)),f329(f329(f154(x97801),x97803),x97806))),f148(x97801,x97804)))+P1(f329(f329(f331(f916(f910(x97801),f910(x97801))),f329(f329(f257(f910(x97801),f910(x97801)),x97805),x97806)),f148(x97801,x97804)))+P1(f329(f329(f331(f916(x97801,x97801)),f329(f329(f257(x97801,x97801),x97802),x97803)),x97804))
% 192.24/192.22 [9781]~P1(f329(f329(f331(f916(f910(x97811),f910(x97811))),f329(f329(f257(f910(x97811),f910(x97811)),f329(f329(f154(x97811),x97812),x97815)),f329(f329(f154(x97811),x97813),x97816))),f150(x97811,x97814)))+P1(f329(f329(f331(f916(f910(x97811),f910(x97811))),f329(f329(f257(f910(x97811),f910(x97811)),x97815),x97816)),f150(x97811,x97814)))+P1(f329(f329(f331(f916(x97811,x97811)),f329(f329(f257(x97811,x97811),x97812),x97813)),x97814))
% 192.24/192.22 [9782]~P1(f329(f329(f331(f916(f910(x97821),f910(x97821))),f329(f329(f257(f910(x97821),f910(x97821)),f329(f329(f154(x97821),x97822),x97825)),f329(f329(f154(x97821),x97823),x97826))),f160(x97821,x97824)))+P1(f329(f329(f331(f916(f910(x97821),f910(x97821))),f329(f329(f257(f910(x97821),f910(x97821)),x97825),x97826)),f160(x97821,x97824)))+P1(f329(f329(f331(f916(x97821,x97821)),f329(f329(f257(x97821,x97821),x97822),x97823)),x97824))
% 192.24/192.22 [9869]P1(f329(x98691,x98692))+P1(f329(f329(f331(x98693),f439(x98691,x98694,x98695,x98693,x98696)),x98695))+~P1(f329(f329(f331(x98696),x98692),f329(f329(f40(x98693,f917(x98696,a904)),x98695),x98694)))
% 192.24/192.22 [9880]~E(x98802,x98804)+P1(f329(f329(f331(f916(f910(x98801),f910(x98801))),f329(f329(f257(f910(x98801),f910(x98801)),f329(f329(f137(x98801),x98802),f329(f329(f154(x98801),x98803),f118(x98801)))),f329(f329(f137(x98801),x98804),f329(f329(f154(x98801),x98805),f118(x98801))))),f160(x98801,x98806)))+~P1(f329(f329(f331(f916(x98801,x98801)),f329(f329(f257(x98801,x98801),x98803),x98805)),x98806))
% 192.24/192.22 [9958]E(x99581,x99582)+~P1(f329(f329(f331(f916(f910(x99583),f910(x99583))),f329(f329(f257(f910(x99583),f910(x99583)),f329(f329(f137(x99583),x99585),f329(f329(f154(x99583),x99581),f118(x99583)))),f329(f329(f137(x99583),x99586),f329(f329(f154(x99583),x99582),f118(x99583))))),f160(x99583,x99584)))+P1(f329(f329(f331(f916(x99583,x99583)),f329(f329(f257(x99583,x99583),x99581),x99582)),x99584))
% 192.24/192.22 [9987]~P1(f329(f329(f331(f916(f910(x99871),f910(x99871))),f329(f329(f257(f910(x99871),f910(x99871)),f329(f329(f137(x99871),x99875),f329(f329(f154(x99871),x99872),f118(x99871)))),f329(f329(f137(x99871),x99876),f329(f329(f154(x99871),x99873),f118(x99871))))),f160(x99871,x99874)))+P1(f329(f329(f331(f916(f910(x99871),f910(x99871))),f329(f329(f257(f910(x99871),f910(x99871)),x99875),x99876)),f160(x99871,x99874)))+P1(f329(f329(f331(f916(x99871,x99871)),f329(f329(f257(x99871,x99871),x99872),x99873)),x99874))
% 192.24/192.22 [10005]P1(f329(x100051,x100052))+P1(f329(f329(f331(x100053),f438(x100051,x100054,x100055,x100056,x100053)),f329(x100054,f439(x100051,x100054,x100055,x100056,x100053))))+~P1(f329(f329(f331(x100053),x100052),f329(f329(f40(x100056,f917(x100053,a904)),x100055),x100054)))
% 192.24/192.22 [8998]~P22(x89983,x89984,x89981)+~P1(f329(f62(x89983),x89986))+E(f329(f329(x89981,x89982),f329(f329(f65(x89983,x89984,x89981),x89985),f329(f329(f23(f917(x89983,a904)),x89986),f329(f329(f311(x89983),x89982),f191(f917(x89983,a904)))))),f329(f329(f65(x89983,x89984,x89981),x89985),f329(f329(f311(x89983),x89982),x89986)))
% 192.24/192.22 [9308]~P1(f329(f329(f331(x93085),x93083),x93086))+P1(f329(f329(f239(f917(x93081,a904)),f329(x93082,x93083)),x93084))+~P1(f329(f329(f239(f917(x93081,a904)),f329(f329(f40(x93085,f917(x93081,a904)),x93086),x93082)),x93084))
% 192.24/192.22 [9932]~P14(x99321,x99325,x99324)+P1(f329(f329(f331(f916(x99321,x99321)),f329(f329(f257(x99321,x99321),x99322),x99323)),x99324))+~P1(f329(f329(f331(x99321),x99326),f329(f329(f106(f917(x99321,a904)),f329(f288(x99321,x99321,x99324),f329(f329(f311(x99321),x99322),f191(f917(x99321,a904))))),f329(f288(x99321,x99321,x99324),f329(f329(f311(x99321),x99323),f191(f917(x99321,a904)))))))
% 192.24/192.22 [8738]~P130(x87382)+~E(f329(f329(f82(x87382),f329(f329(f83(x87382),x87384),x87385)),x87381),f329(f329(f82(x87382),f329(f329(f83(x87382),x87383),x87385)),x87386))+E(x87381,f329(f329(f82(x87382),f329(f329(f83(x87382),f329(f329(f23(x87382),x87383),x87384)),x87385)),x87386))
% 192.24/192.22 [8739]~P130(x87391)+~E(f329(f329(f82(x87391),f329(f329(f83(x87391),x87392),x87394)),x87395),f329(f329(f82(x87391),f329(f329(f83(x87391),x87393),x87394)),x87396))+E(f329(f329(f82(x87391),f329(f329(f83(x87391),f329(f329(f23(x87391),x87392),x87393)),x87394)),x87395),x87396)
% 192.24/192.22 [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(x89066,f329(f329(f82(x89061),f329(f329(f83(x89061),f329(f329(f23(x89061),x89062),x89065)),x89063)),x89064))
% 192.24/192.22 [8907]~P130(x89071)+E(f329(f329(f82(x89071),f329(f329(f83(x89071),x89072),x89073)),x89074),f329(f329(f82(x89071),f329(f329(f83(x89071),x89075),x89073)),x89076))+~E(f329(f329(f82(x89071),f329(f329(f83(x89071),f329(f329(f23(x89071),x89072),x89075)),x89073)),x89074),x89076)
% 192.24/192.22 [9236]~P1(f329(f329(x92364,x92365),x92366))+~P1(f329(f329(x92363,x92365),x92366))+P1(f329(f329(f329(f329(f106(f917(x92361,f917(x92362,a904))),x92363),x92364),x92365),x92366))
% 192.24/192.22 [9501]P1(f329(f329(x95011,x95012),x95013))+P1(f329(f329(x95014,x95012),x95013))+~P1(f329(f329(f329(f329(f115(f917(x95015,f917(x95016,a904))),x95014),x95011),x95012),x95013))
% 192.24/192.22 [9795]~P138(x97951)+~P1(f329(f329(f240(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(f240(x97951),x97952),f329(f329(f82(x97951),f329(f329(f83(x97951),f329(f329(f23(x97951),x97953),x97954)),x97955)),x97956)))
% 192.24/192.22 [9796]~P138(x97961)+~P1(f329(f329(f239(x97961),f329(f329(f82(x97961),f329(f329(f83(x97961),x97964),x97965)),x97962)),f329(f329(f82(x97961),f329(f329(f83(x97961),x97963),x97965)),x97966)))+P1(f329(f329(f239(x97961),x97962),f329(f329(f82(x97961),f329(f329(f83(x97961),f329(f329(f23(x97961),x97963),x97964)),x97965)),x97966)))
% 192.24/192.22 [9819]~P138(x98191)+P1(f329(f329(f240(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(f240(x98191),x98194),f329(f329(f82(x98191),f329(f329(f83(x98191),f329(f329(f23(x98191),x98195),x98192)),x98193)),x98196)))
% 192.24/192.22 [9820]~P138(x98201)+P1(f329(f329(f239(x98201),f329(f329(f82(x98201),f329(f329(f83(x98201),x98202),x98203)),x98204)),f329(f329(f82(x98201),f329(f329(f83(x98201),x98205),x98203)),x98206)))+~P1(f329(f329(f239(x98201),x98204),f329(f329(f82(x98201),f329(f329(f83(x98201),f329(f329(f23(x98201),x98205),x98202)),x98203)),x98206)))
% 192.24/192.22 [9924]~P138(x99241)+~P1(f329(f329(f240(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(f240(x99241),f329(f329(f82(x99241),f329(f329(f83(x99241),f329(f329(f23(x99241),x99242),x99243)),x99244)),x99245)),x99246))
% 192.24/192.22 [9925]~P138(x99251)+~P1(f329(f329(f239(x99251),f329(f329(f82(x99251),f329(f329(f83(x99251),x99252),x99254)),x99255)),f329(f329(f82(x99251),f329(f329(f83(x99251),x99253),x99254)),x99256)))+P1(f329(f329(f239(x99251),f329(f329(f82(x99251),f329(f329(f83(x99251),f329(f329(f23(x99251),x99252),x99253)),x99254)),x99255)),x99256))
% 192.24/192.22 [9970]~P138(x99701)+P1(f329(f329(f240(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(f240(x99701),f329(f329(f82(x99701),f329(f329(f83(x99701),f329(f329(f23(x99701),x99702),x99705)),x99703)),x99704)),x99706))
% 192.24/192.22 [9971]~P138(x99711)+P1(f329(f329(f239(x99711),f329(f329(f82(x99711),f329(f329(f83(x99711),x99712),x99713)),x99714)),f329(f329(f82(x99711),f329(f329(f83(x99711),x99715),x99713)),x99716)))+~P1(f329(f329(f239(x99711),f329(f329(f82(x99711),f329(f329(f83(x99711),f329(f329(f23(x99711),x99712),x99715)),x99713)),x99714)),x99716))
% 192.24/192.22 [10132]~P77(x101322)+~P1(f329(f62(x101321),x101326))+E(f329(f329(f6(x101321,x101322),f329(f329(f18(x101321,x101322,x101322),f329(f329(f18(x101321,x101322,f917(x101322,x101322)),f329(f329(f8(a904,f917(x101322,f917(x101322,x101322)),x101321),f99(x101322)),x101323)),x101324)),x101325)),x101326),f329(f329(f82(x101322),f329(f329(f6(x101321,x101322),x101324),f329(f329(f106(f917(x101321,a904)),x101326),f329(f267(x101321),x101323)))),f329(f329(f6(x101321,x101322),x101325),f329(f329(f106(f917(x101321,a904)),x101326),f329(f81(f917(x101321,a904)),f329(f267(x101321),x101323))))))
% 192.24/192.22 [10190]P1(f329(f329(f331(x101902),x101904),x101906))+P1(f329(f329(f331(x101902),x101905),x101906))+E(f329(f313(x101901,x101902,f329(f329(f7(x101901,x101902,x101902),f329(f329(f7(x101901,x101902,f917(x101902,x101902)),f329(f329(f8(a904,f917(x101902,f917(x101902,x101902)),x101901),f99(x101902)),f329(f329(f7(x101901,f917(x101901,a904),a904),f331(x101901)),x101903))),x101904)),x101905)),x101906),f191(f917(x101901,a904)))
% 192.24/192.22 [10191]P1(f329(f329(f331(x101912),x101915),x101916))+~P1(f329(f329(f331(x101912),x101914),x101916))+E(f329(f313(x101911,x101912,f329(f329(f7(x101911,x101912,x101912),f329(f329(f7(x101911,x101912,f917(x101912,x101912)),f329(f329(f8(a904,f917(x101912,f917(x101912,x101912)),x101911),f99(x101912)),f329(f329(f7(x101911,f917(x101911,a904),a904),f331(x101911)),x101913))),x101914)),x101915)),x101916),x101913)
% 192.24/192.22 [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,f917(x101922,x101922)),f329(f329(f8(a904,f917(x101922,f917(x101922,x101922)),x101921),f99(x101922)),f329(f329(f7(x101921,f917(x101921,a904),a904),f331(x101921)),x101923))),x101924)),x101925)),x101926),f329(f81(f917(x101921,a904)),x101923))
% 192.24/192.22 [10193]~P1(f329(f329(f331(x101932),x101934),x101936))+~P1(f329(f329(f331(x101932),x101935),x101936))+E(f329(f313(x101931,x101932,f329(f329(f7(x101931,x101932,x101932),f329(f329(f7(x101931,x101932,f917(x101932,x101932)),f329(f329(f8(a904,f917(x101932,f917(x101932,x101932)),x101931),f99(x101932)),f329(f329(f7(x101931,f917(x101931,a904),a904),f331(x101931)),x101933))),x101934)),x101935)),x101936),f247(f917(x101931,a904)))
% 192.24/192.22 [10347]P30(x103471,x103472,f329(f329(f311(f908(x103471)),f329(f329(f329(f93(x103471),f329(x103473,x103474)),f329(a26,x103474)),f329(x103475,x103474))),f191(f917(f908(x103471),a904))))+~P1(f329(f329(f331(a907),x103474),x103476))+~P30(x103471,f329(f329(f115(f917(f908(x103471),a904)),x103472),f329(f312(a907,f908(x103471),f329(f329(f18(a907,f917(x103471,f917(a906,a904)),f908(x103471)),f329(f329(f18(a907,a905,f917(f917(x103471,f917(a906,a904)),f908(x103471))),f329(f329(f8(f917(x103471,f917(a906,a904)),f917(a905,f917(f917(x103471,f917(a906,a904)),f908(x103471))),a907),f93(x103471)),x103473)),a26)),x103475)),x103476)),f329(f312(a907,f908(x103471),f329(f329(f18(a907,f917(x103471,f917(a906,a904)),f908(x103471)),f329(f329(f18(a907,a905,f917(f917(x103471,f917(a906,a904)),f908(x103471))),f329(f329(f8(f917(x103471,f917(a906,a904)),f917(a905,f917(f917(x103471,f917(a906,a904)),f908(x103471))),a907),f93(x103471)),x103473)),f329(f329(f8(f913(a905),a905,a907),f236(a905)),a27))),x103475)),x103476))
% 192.24/192.22 [8768]E(x87681,x87682)+~P65(x87684,x87685,x87683,x87686,x87687)+~E(f329(x87683,x87681),f329(x87683,x87682))
% 192.24/192.22 [8797]~P16(x87976,x87975,x87977,x87974,x87971)+E(f329(f329(x87971,x87972),x87973),x87974)+P1(f329(f62(x87975),x87973))
% 192.24/192.22 [9660]P51(x96601,x96602,x96603,x96604,x96605,f329(f329(x96603,x96606),x96607))+~E(f329(f329(x96603,x96606),x96607),x96604)+~E(x96605,f191(f917(x96601,a904)))
% 192.24/192.22 [9842]~P1(f329(x98426,x98423))+~P1(f329(f329(f331(f916(x98422,x98422)),f329(f329(f257(x98422,x98422),x98424),x98425)),f329(x98427,x98423)))+P1(f329(f329(f331(f916(f916(x98421,x98422),f916(x98421,x98422))),f329(f329(f257(f916(x98421,x98422),f916(x98421,x98422)),f329(f329(f257(x98421,x98422),x98423),x98424)),f329(f329(f257(x98421,x98422),x98423),x98425))),f283(x98421,x98422,x98426,x98427)))
% 192.24/192.22 [10256]~P51(x102562,x102567,x102563,x102566,x102561,f329(f329(x102563,x102565),x102564))+E(f329(f329(x102563,f500(x102564,x102565,x102561,x102566,x102563,x102567,x102562)),f503(x102564,x102565,x102561,x102566,x102563,x102567,x102562)),f329(f329(x102563,x102565),x102564))+E(x102561,f191(f917(x102562,a904)))
% 192.24/192.22 [10257]~P51(x102577,x102576,x102571,x102574,x102575,f329(f329(x102571,x102572),x102573))+E(f329(f329(x102571,f500(x102573,x102572,x102575,x102574,x102571,x102576,x102577)),f503(x102573,x102572,x102575,x102574,x102571,x102576,x102577)),f329(f329(x102571,x102572),x102573))+E(f329(f329(x102571,x102572),x102573),x102574)
% 192.24/192.22 [9343]~P41(x93431,x93432,x93433,x93435,x93437)+P41(x93431,x93432,x93433,f329(f329(f154(x93431),x93434),x93435),f329(f329(f154(x93432),x93436),x93437))+~P1(f329(f329(x93433,x93434),x93436))
% 192.24/192.22 [9358]P41(x93581,x93582,x93583,x93584,x93585)+~P41(x93581,x93582,x93583,f329(f329(f137(x93581),x93586),x93584),f329(f329(f137(x93582),x93587),x93585))+~E(f329(f192(f910(x93581)),x93586),f329(f192(f910(x93582)),x93587))
% 192.24/192.22 [9359]P41(x93591,x93592,x93593,x93594,x93595)+~P41(x93591,x93592,x93593,f329(f329(f137(x93591),x93594),x93596),f329(f329(f137(x93592),x93595),x93597))+~E(f329(f192(f910(x93591)),x93594),f329(f192(f910(x93592)),x93595))
% 192.24/192.22 [9566]~P41(x95661,x95662,x95663,x95665,x95667)+~P41(x95661,x95662,x95663,x95664,x95666)+P41(x95661,x95662,x95663,f329(f329(f137(x95661),x95664),x95665),f329(f329(f137(x95662),x95666),x95667))
% 192.24/192.22 [9915]~P1(f329(f67(x99151,x99154,x99155,x99156,x99153),x99157))+P1(f329(f67(x99151,x99154,x99155,x99156,f329(f329(f311(x99151),x99152),x99153)),f329(f329(x99155,x99152),x99157)))+P1(f329(f329(f331(x99151),x99152),x99153))
% 192.24/192.22 [10281]~P51(x102812,x102817,x102816,x102815,x102811,f329(f329(x102816,x102814),x102813))+E(x102811,f191(f917(x102812,a904)))+P1(f329(f329(f331(x102812),f500(x102813,x102814,x102811,x102815,x102816,x102817,x102812)),x102811))
% 192.24/192.22 [10282]~P51(x102825,x102827,x102821,x102824,x102826,f329(f329(x102821,x102822),x102823))+E(f329(f329(x102821,x102822),x102823),x102824)+P1(f329(f329(f331(x102825),f500(x102823,x102822,x102826,x102824,x102821,x102827,x102825)),x102826))
% 192.24/192.22 [9024]~P27(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))
% 192.24/192.22 [9025]~P16(x90254,x90255,x90256,x90257,x90251)+~P1(f329(f62(x90255),x90253))+E(f329(f329(x90251,x90252),x90253),f329(f329(f329(f66(x90254,x90255,x90256),x90252),x90257),x90253))
% 192.24/192.22 [9626]~P30(x96261,x96262,f329(f329(f311(f908(x96261)),f329(f329(f329(f93(x96261),x96263),x96264),x96267)),f191(f917(f908(x96261),a904))))+P30(x96261,x96262,f329(f329(f311(f908(x96261)),f329(f329(f329(f93(x96261),x96263),f32(x96264,x96265)),x96266)),f191(f917(f908(x96261),a904))))+~P30(x96261,x96262,f329(f329(f311(f908(x96261)),f329(f329(f329(f93(x96261),x96267),x96265),x96266)),f191(f917(f908(x96261),a904))))
% 192.24/192.22 [9814]~P29(x98143,x98144,x98145,x98147,x98146,x98141)+~P1(f329(f62(x98144),x98142))+E(f329(x98141,x98142),f329(f329(f329(f66(x98143,x98144,x98145),x98146),x98147),x98142))
% 192.24/192.22 [9965]P51(x99651,x99652,x99653,x99654,x99655,f329(f329(x99653,x99656),x99657))+~P51(x99651,x99652,x99653,x99654,f329(f329(f23(f917(x99651,a904)),x99655),f329(f329(f311(x99651),x99656),f191(f917(x99651,a904)))),x99657)+~P1(f329(f329(f331(x99651),x99656),x99655))
% 192.24/192.22 [10225]~P30(x102251,x102252,f329(f329(f311(f908(x102251)),f329(f329(f329(f93(x102251),f95(x102251,x102253,x102254)),x102255),x102257)),f191(f917(f908(x102251),a904))))+P30(x102251,x102252,f329(f329(f311(f908(x102251)),f329(f329(f329(f93(x102251),x102253),f29(x102254,x102255,x102256)),x102257)),f191(f917(f908(x102251),a904))))+~P30(x102251,x102252,f329(f329(f311(f908(x102251)),f329(f329(f329(f93(x102251),f95(x102251,x102253,f329(f74(a904,a904,a906,a324),x102254))),x102256),x102257)),f191(f917(f908(x102251),a904))))
% 192.24/192.22 [10304]P1(f329(f329(x103047,f815(x103044,x103045,x103041,x103046,x103043,x103042,x103047)),f816(x103044,x103045,x103041,x103046,x103043,x103042,x103047)))+~P1(f329(f329(x103047,f329(f261(x103042,x103043),x103046)),f329(f256(x103042,x103043),x103046)))+P1(f329(x103041,f329(f329(f262(x103042,x103043,x103044),x103045),x103046)))
% 192.24/192.22 [10314]~P51(x103142,x103143,x103144,x103145,x103141,f329(f329(x103144,x103147),x103146))+P51(x103142,x103143,x103144,x103145,f329(f329(f23(f917(x103142,a904)),x103141),f329(f329(f311(x103142),f500(x103146,x103147,x103141,x103145,x103144,x103143,x103142)),f191(f917(x103142,a904)))),f503(x103146,x103147,x103141,x103145,x103144,x103143,x103142))+E(x103141,f191(f917(x103142,a904)))
% 192.24/192.22 [10315]~P51(x103155,x103156,x103151,x103154,x103157,f329(f329(x103151,x103152),x103153))+P51(x103155,x103156,x103151,x103154,f329(f329(f23(f917(x103155,a904)),x103157),f329(f329(f311(x103155),f500(x103153,x103152,x103157,x103154,x103151,x103156,x103155)),f191(f917(x103155,a904)))),f503(x103153,x103152,x103157,x103154,x103151,x103156,x103155))+E(f329(f329(x103151,x103152),x103153),x103154)
% 192.24/192.22 [10339]~P1(f329(x103391,f329(f329(x103395,f816(x103394,x103395,x103391,x103396,x103393,x103392,x103397)),f815(x103394,x103395,x103391,x103396,x103393,x103392,x103397))))+~P1(f329(f329(x103397,f329(f261(x103392,x103393),x103396)),f329(f256(x103392,x103393),x103396)))+P1(f329(x103391,f329(f329(f262(x103392,x103393,x103394),x103395),x103396)))
% 192.24/192.22 [9646]P1(f329(f329(f239(f917(f916(x96461,x96462),a904)),f329(f329(f291(x96461,x96463,x96462),x96464),x96465)),f329(f329(f291(x96461,x96463,x96462),x96466),x96467)))+~P1(f329(f329(f239(f917(f916(x96463,x96462),a904)),x96465),x96467))+~P1(f329(f329(f239(f917(f916(x96461,x96463),a904)),x96464),x96466))
% 192.24/192.22 [9976]~P1(f329(f329(f331(x99761),x99766),x99765))+P1(f329(f67(x99761,x99762,x99763,x99764,x99765),f329(f329(x99763,x99766),x99767)))+~P1(f329(f67(x99761,x99762,x99763,x99764,f329(f329(f23(f917(x99761,a904)),x99765),f329(f329(f311(x99761),x99766),f191(f917(x99761,a904))))),x99767))
% 192.24/192.22 [10375]~P142(x103751)+~P31(f916(x103752,x103753),x103751,f329(f262(x103752,x103753,x103751),f329(f329(f7(x103752,f917(x103753,x103751),f917(x103753,x103751)),f329(f329(f8(f917(x103751,x103751),f917(f917(x103753,x103751),f917(x103753,x103751)),x103752),f8(x103751,x103751,x103753)),f329(f329(f8(x103751,f917(x103751,x103751),x103752),f83(x103751)),x103754))),x103755)),f329(f329(f259(x103752,x103753),x103756),f329(f16(f917(x103753,a904),x103752),x103757)))+E(f329(f329(f6(x103751,x103751),f33(x103751)),f329(f267(x103751),f329(f329(f8(f917(x103752,a904),a904,x103751),f89(x103752)),f329(f329(f8(f917(x103752,f917(x103753,a904)),f917(x103752,a904),x103751),f329(f8(f917(x103753,a904),a904,x103752),f89(x103753))),f329(f329(f7(x103751,f917(x103752,f917(x103753,a904)),f917(x103752,f917(x103753,a904))),f329(f329(f8(f917(x103752,f917(f917(x103753,a904),f917(x103753,a904))),f917(f917(x103752,f917(x103753,a904)),f917(x103752,f917(x103753,a904))),x103751),f18(x103752,f917(x103753,a904),f917(x103753,a904))),f329(f329(f8(f917(x103752,f917(x103753,f917(a904,a904))),f917(x103752,f917(f917(x103753,a904),f917(x103753,a904))),x103751),f329(f8(f917(x103753,f917(a904,a904)),f917(f917(x103753,a904),f917(x103753,a904)),x103752),f18(x103753,a904,a904))),f329(f329(f8(f917(x103752,f917(x103753,a904)),f917(x103752,f917(x103753,f917(a904,a904))),x103751),f329(f8(f917(x103753,a904),f917(x103753,f917(a904,a904)),x103752),f329(f8(a904,f917(a904,a904),x103753),a327))),f329(f329(f7(x103751,f917(x103752,f917(x103753,x103751)),f917(x103752,f917(x103753,a904))),f329(f329(f8(f917(f917(x103753,x103751),f917(x103753,a904)),f917(f917(x103752,f917(x103753,x103751)),f917(x103752,f917(x103753,a904))),x103751),f8(f917(x103753,x103751),f917(x103753,a904),x103752)),f329(f329(f8(f917(x103751,a904),f917(f917(x103753,x103751),f917(x103753,a904)),x103751),f8(x103751,a904,x103753)),a326))),f329(f329(f7(x103752,f917(x103753,x103751),f917(x103753,x103751)),f329(f329(f8(f917(x103751,x103751),f917(f917(x103753,x103751),f917(x103753,x103751)),x103752),f8(x103751,x103751,x103753)),f329(f329(f8(x103751,f917(x103751,x103751),x103752),f83(x103751)),x103754))),x103755)))))),f329(f329(f7(x103752,f917(x103753,a904),f917(x103753,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x103753,a904),f917(x103753,a904)),x103752),f8(a904,a904,x103753)),f329(f329(f8(a904,f917(a904,a904),x103752),a327),f329(f329(f7(x103752,f917(x103752,a904),a904),f331(x103752)),x103756)))),f329(f329(f7(x103753,f917(x103753,a904),a904),f331(x103753)),x103757))))))),f329(f329(f83(x103751),f329(f329(f6(x103752,x103751),x103754),x103756)),f329(f329(f6(x103753,x103751),x103755),x103757)))
% 192.24/192.22 [9650]~P32(x96501,x96503,x96505,x96506,x96508)+~P32(x96503,x96502,x96504,x96508,x96507)+P32(x96501,x96502,f329(f74(x96503,x96502,x96501,x96504),x96505),x96506,x96507)
% 192.24/192.22 [9678]P32(x96781,x96782,x96783,x96784,x96785)+~P32(x96786,x96781,x96787,x96788,x96784)+~P32(x96786,x96782,f329(f74(x96781,x96782,x96786,x96783),x96787),x96788,x96785)
% 192.24/192.22 [9812]~P1(f329(f329(x98124,x98126),x98128))+~P1(f329(f329(x98125,x98128),x98127))+P1(f329(f329(f258(x98121,x98122,x98123,x98124,x98125),x98126),x98127))
% 192.24/192.22 [9408]~P25(x94088,x94081,x94083,x94085)+~P1(f329(f62(x94088),x94086))+E(f329(f74(x94081,x94081,x94082,f329(x94083,x94084)),f329(f74(x94081,x94081,x94082,f329(x94085,x94086)),x94087)),f329(f74(x94081,x94081,x94082,f329(x94085,x94086)),f329(f74(x94081,x94081,x94082,f329(x94083,x94084)),x94087)))
% 192.24/192.22 [9802]~P28(x98027,x98022,x98025,x98028,x98026,x98021)+~P1(f329(f62(x98022),x98024))+E(f329(x98021,f329(f329(f311(x98022),x98023),x98024)),f329(f329(x98025,f329(x98026,x98023)),f329(x98021,x98024)))
% 192.24/192.22 [9921]~P31(x99212,x99214,x99216,x99218)+~P31(x99211,x99213,x99215,x99217)+P31(f916(x99211,x99212),f916(x99213,x99214),f263(x99211,x99213,x99212,x99214,x99215,x99216),f329(f329(f259(x99211,x99212),x99217),f329(f16(f917(x99212,a904),x99211),x99218)))
% 192.24/192.22 [9593]P1(f329(f329(f331(f916(x95931,x95932)),f329(f329(f257(x95931,x95932),x95933),x95934)),f329(f329(f291(x95931,x95935,x95932),x95936),x95937)))+~P1(f329(f329(f331(f916(x95931,x95935)),f329(f329(f257(x95931,x95935),x95933),x95938)),x95936))+~P1(f329(f329(f331(f916(x95935,x95932)),f329(f329(f257(x95935,x95932),x95938),x95934)),x95937))
% 192.24/192.22 [9783]~P1(f329(f329(f239(f917(f916(x97833,x97832),a904)),x97835),f329(f329(f259(x97833,x97832),x97838),f329(f16(f917(x97832,a904),x97833),x97837))))+~P1(f329(f329(f239(f917(f916(x97831,x97833),a904)),x97834),f329(f329(f259(x97831,x97833),x97836),f329(f16(f917(x97833,a904),x97831),x97838))))+P1(f329(f329(f239(f917(f916(x97831,x97832),a904)),f329(f329(f291(x97831,x97833,x97832),x97834),x97835)),f329(f329(f259(x97831,x97832),x97836),f329(f16(f917(x97832,a904),x97831),x97837))))
% 192.24/192.22 [9836]~E(x98363,x98365)+P1(f329(f329(f331(f916(f916(x98361,x98362),f916(x98361,x98362))),f329(f329(f257(f916(x98361,x98362),f916(x98361,x98362)),f329(f329(f257(x98361,x98362),x98363),x98364)),f329(f329(f257(x98361,x98362),x98365),x98366))),f321(x98361,x98362,x98367,x98368)))+~P1(f329(f329(f331(f916(x98362,x98362)),f329(f329(f257(x98362,x98362),x98364),x98366)),x98368))
% 192.24/192.22 [9941]E(x99411,x99412)+~P1(f329(f329(f331(f916(f916(x99413,x99415),f916(x99413,x99415))),f329(f329(f257(f916(x99413,x99415),f916(x99413,x99415)),f329(f329(f257(x99413,x99415),x99411),x99416)),f329(f329(f257(x99413,x99415),x99412),x99417))),f321(x99413,x99415,x99414,x99418)))+P1(f329(f329(f331(f916(x99413,x99413)),f329(f329(f257(x99413,x99413),x99411),x99412)),x99414))
% 192.24/192.22 [9957]~P1(f329(f329(f331(f916(f916(x99571,x99575),f916(x99571,x99575))),f329(f329(f257(f916(x99571,x99575),f916(x99571,x99575)),f329(f329(f257(x99571,x99575),x99572),x99576)),f329(f329(f257(x99571,x99575),x99573),x99577))),f321(x99571,x99575,x99574,x99578)))+P1(f329(f329(f331(f916(x99571,x99571)),f329(f329(f257(x99571,x99571),x99572),x99573)),x99574))+P1(f329(f329(f331(f916(x99575,x99575)),f329(f329(f257(x99575,x99575),x99576),x99577)),x99578))
% 192.24/192.22 [9870]~P29(x98707,x98705,x98701,x98708,x98702,x98704)+~P1(f329(f62(x98705),x98706))+E(f329(f329(x98701,f329(x98702,x98703)),f329(x98704,f329(f329(f23(f917(x98705,a904)),x98706),f329(f329(f311(x98705),x98703),f191(f917(x98705,a904)))))),f329(x98704,f329(f329(f311(x98705),x98703),x98706)))
% 192.24/192.22 [9364]~P1(f329(f329(f329(x93645,x93648),x93646),x93647))+~P1(f329(f329(f331(x93641),x93648),x93644))+P1(f329(f329(f329(f329(f40(x93641,f917(x93642,f917(x93643,a904))),x93644),x93645),x93646),x93647))
% 192.24/192.22 [9577]P1(f329(f329(f329(x95771,x95772),x95773),x95774))+~P1(f329(f329(f331(x95775),x95772),x95776))+~P1(f329(f329(f329(f329(f41(x95775,f917(x95777,f917(x95778,a904))),x95776),x95771),x95773),x95774))
% 192.24/192.22 [9776]~P27(x97763,x97762,x97764,x97768,x97761)+~P1(f329(f62(x97762),x97767))+E(f329(f329(x97761,f329(f329(f18(x97762,x97763,x97763),f329(f329(f8(x97763,f917(x97763,x97763),x97762),x97764),x97765)),x97766)),x97767),f329(f329(x97764,f329(f329(x97761,x97765),x97767)),f329(f329(x97761,x97766),x97767)))
% 192.24/192.22 [10039]~E(f329(f312(x100392,x100394,x100396),x100398),x1003910)+~E(f329(f312(x100391,x100393,x100395),x100397),x100399)+E(f329(f312(f916(x100391,x100392),f916(x100393,x100394),f263(x100391,x100393,x100392,x100394,x100395,x100396)),f329(f329(f259(x100391,x100392),x100397),f329(f16(f917(x100392,a904),x100391),x100398))),f329(f329(f259(x100393,x100394),x100399),f329(f16(f917(x100394,a904),x100393),x1003910)))
% 192.24/192.22 [4982]~P57(x49821,x49822)+~P58(x49821,x49822)+~P59(x49821,x49822)+P13(x49821,x49822)
% 192.24/192.22 [4938]~P112(x49382)+~P19(x49382,x49381)+P19(x49382,f119(x49382,x49381))+E(x49381,f118(x49382))
% 192.24/192.22 [4939]~P112(x49392)+~P19(x49392,x49391)+P19(x49392,f730(x49391,x49392))+E(x49391,f118(x49392))
% 192.24/192.22 [5180]~P11(x51802)+E(f10(x51802,x51801),f39(x51802,x51801))+E(x51801,f191(f917(x51802,a904)))+~P1(f329(f62(x51802),x51801))
% 192.24/192.22 [5181]~P11(x51812)+E(f13(x51812,x51811),f38(x51812,x51811))+E(x51811,f191(f917(x51812,a904)))+~P1(f329(f62(x51812),x51811))
% 192.24/192.22 [5343]~P112(x53432)+~P19(x53432,x53431)+E(x53431,f118(x53432))+E(f329(f329(f154(x53432),f750(x53431,x53432)),f730(x53431,x53432)),x53431)
% 192.24/192.22 [6151]~P2(x61512)+E(x61511,f191(f917(x61512,a904)))+P1(f329(f329(f239(x61512),f10(x61512,x61511)),f13(x61512,x61511)))+~P1(f329(f62(x61512),x61511))
% 192.24/192.22 [6163]~P48(x61632)+~P48(x61631)+E(x61631,x61632)+~E(f329(f312(a1,a909,a109),x61631),f329(f312(a1,a909,a109),x61632))
% 192.24/192.22 [9214]~P120(x92141)+~P1(f329(f329(f331(x92141),x92142),f114(x92141)))+P1(f329(f329(f240(x92141),f329(f329(f82(x92141),f329(f329(f82(x92141),f80(x92141)),x92142)),x92142)),f2(x92141)))+~P1(f329(f329(f240(x92141),x92142),f2(x92141)))
% 192.24/192.22 [9462]~P120(x94621)+~P1(f329(f329(f331(x94621),x94622),f114(x94621)))+~P1(f329(f329(f240(x94621),f329(f329(f82(x94621),f329(f329(f82(x94621),f80(x94621)),x94622)),x94622)),f2(x94621)))+P1(f329(f329(f240(x94621),x94622),f2(x94621)))
% 192.24/192.22 [4997]~P142(x49972)+~P118(x49972)+E(x49971,f2(a909))+E(f329(f329(f249(x49972),f2(x49972)),x49971),f2(x49972))
% 192.24/192.22 [5000]~P142(x50001)+~P118(x50001)+~E(x50002,f2(a909))+E(f329(f329(f249(x50001),f2(x50001)),x50002),f80(x50001))
% 192.24/192.22 [5166]~P144(x51662)+E(x51661,f80(x51662))+E(x51661,f329(f81(x51662),f80(x51662)))+~E(f329(f329(f83(x51662),x51661),x51661),f80(x51662))
% 192.24/192.22 [5424]~P93(x54242)+E(x54241,f2(x54242))+E(f84(x54242,x54241),f329(f81(x54242),f80(x54242)))+P1(f329(f329(f240(x54242),f2(x54242)),x54241))
% 192.24/192.22 [5660]~P93(x56602)+E(f84(x56602,x56601),f80(x56602))+E(x56601,f2(x56602))+~P1(f329(f329(f240(x56602),f2(x56602)),x56601))
% 192.24/192.22 [5669]E(x56691,x56692)+~E(f329(f108(a909),x56691),f329(f108(a909),x56692))+P1(f329(a196,f329(f108(a1),x56692)))+P1(f329(a196,f329(f108(a1),x56691)))
% 192.24/192.22 [5719]~P95(x57191)+~E(x57192,f2(x57191))+E(f329(f329(f82(x57191),x57192),x57192),f2(x57191))+~P1(f329(f329(f331(x57191),x57192),f114(x57191)))
% 192.24/192.22 [5759]E(x57591,f2(a1))+~E(f329(f329(f37(a1),x57592),x57591),f2(a1))+P1(f329(f329(f240(a1),x57591),x57592))+P1(f329(f329(f240(a1),x57592),x57591))
% 192.24/192.22 [5790]E(x57901,f2(a1))+~E(f329(f329(f37(a1),x57902),x57901),f2(a1))+P1(f329(f329(f239(a1),x57902),f2(a1)))+P1(f329(f329(f240(a1),x57902),x57901))
% 192.24/192.22 [5824]E(x58241,f2(a1))+~E(f329(f329(f37(a1),x58242),x58241),f2(a1))+P1(f329(f329(f239(a1),f2(a1)),x58242))+P1(f329(f329(f240(a1),x58241),x58242))
% 192.24/192.22 [5858]~P95(x58582)+E(x58581,f2(x58582))+~E(f329(f329(f82(x58582),x58581),x58581),f2(x58582))+~P1(f329(f329(f331(x58582),x58581),f114(x58582)))
% 192.24/192.22 [5919]E(f329(f108(a909),x59191),f329(f108(a909),x59192))+~E(f329(f108(a1),x59192),f2(a1))+P1(f329(a196,f329(f108(a1),x59192)))+~P1(f329(a196,f329(f108(a1),x59191)))
% 192.24/192.22 [5951]~E(f329(f108(a909),x59512),f329(f108(a909),x59511))+E(f329(f108(a1),x59511),f2(a1))+P1(f329(a196,f329(f108(a1),x59511)))+~P1(f329(a196,f329(f108(a1),x59512)))
% 192.24/192.22 [5961]~P112(x59612)+E(x59611,f191(f917(x59612,a904)))+~P1(f329(f62(x59612),x59611))+P1(f329(f329(f331(x59612),f14(x59612,x59611)),x59611))
% 192.24/192.22 [5962]~P112(x59622)+E(x59621,f191(f917(x59622,a904)))+~P1(f329(f62(x59622),x59621))+P1(f329(f329(f331(x59622),f15(x59622,x59621)),x59621))
% 192.24/192.22 [6128]~P120(x61281)+~P96(x61281)+P1(f329(f329(f240(x61281),f2(x61281)),f329(f108(x61281),x61282)))+~P1(f329(f329(f240(a1),a85),x61282))
% 192.24/192.22 [6129]~P120(x61291)+~P96(x61291)+P1(f329(f329(f239(x61291),f2(x61291)),f329(f108(x61291),x61292)))+~P1(f329(f329(f239(a1),a85),x61292))
% 192.24/192.22 [6150]~P120(x61501)+~P96(x61501)+E(f329(f77(x61501),f329(f108(x61501),x61502)),f329(f108(x61501),x61502))+P1(f329(f329(f240(x61501),f329(f108(x61501),x61502)),f2(x61501)))
% 192.24/192.22 [6187]E(x61871,x61872)+~E(f329(a109,x61871),f329(a109,x61872))+~P1(f329(f329(f239(a1),f2(a1)),x61872))+~P1(f329(f329(f239(a1),f2(a1)),x61871))
% 192.24/192.22 [6381]~P96(x63812)+~P120(x63812)+~P1(f329(f329(f240(x63812),f2(x63812)),f329(f108(x63812),x63811)))+P1(f329(f329(f240(a1),a85),x63811))
% 192.24/192.22 [6382]~P96(x63822)+~P120(x63822)+~P1(f329(f329(f239(x63822),f2(x63822)),f329(f108(x63822),x63821)))+P1(f329(f329(f239(a1),a85),x63821))
% 192.24/192.22 [6387]~P120(x63871)+~P96(x63871)+P1(f329(f329(f240(x63871),f329(f108(x63871),x63872)),f2(x63871)))+~P1(f329(f329(f240(a1),x63872),a85))
% 192.24/192.22 [6388]~P120(x63881)+~P96(x63881)+P1(f329(f329(f239(x63881),f329(f108(x63881),x63882)),f2(x63881)))+~P1(f329(f329(f239(a1),x63882),a85))
% 192.24/192.22 [6706]~P96(x67062)+~P120(x67062)+~P1(f329(f329(f240(x67062),f329(f108(x67062),x67061)),f2(x67062)))+P1(f329(f329(f240(a1),x67061),a85))
% 192.24/192.22 [6707]~P96(x67072)+~P120(x67072)+~P1(f329(f329(f239(x67072),f329(f108(x67072),x67071)),f2(x67072)))+P1(f329(f329(f239(a1),x67071),a85))
% 192.24/192.22 [6797]~P120(x67971)+~P96(x67971)+E(f329(f77(x67971),f329(f108(x67971),x67972)),f329(f81(x67971),f329(f108(x67971),x67972)))+~P1(f329(f329(f240(x67971),f329(f108(x67971),x67972)),f2(x67971)))
% 192.24/192.22 [6816]E(f329(f108(a909),x68161),f329(f108(a909),x68162))+~E(f329(f108(a1),x68162),f2(a1))+~P1(f329(f329(f239(a1),f329(f108(a1),x68161)),f2(a1)))+~P1(f329(a196,f329(f108(a1),x68161)))
% 192.24/192.22 [7699]~P112(x76992)+E(x76991,f191(f917(x76992,a904)))+~P1(f329(f62(x76992),x76991))+P1(f329(f329(f239(x76992),f12(x76992,f237(x76992),x76991)),f11(x76992,f238(x76992),x76991)))
% 192.24/192.22 [8024]~P48(x80242)+~P12(x80241)+P1(f329(f329(f331(a1),x80241),x80242))+~P1(f329(f329(f331(a909),f329(a109,x80241)),f329(f312(a1,a909,a109),x80242)))
% 192.24/192.22 [5957]~P129(x59572)+E(x59571,f2(a1))+E(f329(f81(x59572),f329(f107(x59572),f329(f81(a1),x59571))),f329(f107(x59572),x59571))+~P1(f329(f329(f240(a1),x59571),f2(a1)))
% 192.24/192.22 [6030]~P95(x60301)+~P96(x60301)+~P36(x60301,f329(f108(x60301),x60302))+P36(x60301,f329(f108(x60301),f329(f329(f82(a1),x60302),x60302)))
% 192.24/192.22 [6370]~P78(x63702)+E(x63701,f191(f917(x63702,a904)))+E(f15(x63702,f329(f312(x63702,x63702,f81(x63702)),x63701)),f329(f81(x63702),f14(x63702,x63701)))+~P1(f329(f62(x63702),x63701))
% 192.24/192.22 [6371]~P78(x63712)+E(x63711,f191(f917(x63712,a904)))+E(f14(x63712,f329(f312(x63712,x63712,f81(x63712)),x63711)),f329(f81(x63712),f15(x63712,x63711)))+~P1(f329(f62(x63712),x63711))
% 192.24/192.22 [6404]~P95(x64041)+~P96(x64041)+P36(x64041,f329(f108(x64041),x64042))+~P36(x64041,f329(f108(x64041),f329(f329(f82(a1),x64042),x64042)))
% 192.24/192.22 [6494]E(x64941,f2(a1))+E(f329(a52,f51(f329(f81(a1),x64941),f329(f81(a1),x64942))),f47(x64941,x64942))+P1(f329(f329(f239(a1),f2(a1)),x64942))+~P1(f329(f329(f239(a1),f2(a1)),x64941))
% 192.24/192.22 [8818]~P48(x88182)+~P48(x88181)+P1(f329(f329(f240(f917(a909,a904)),f329(f312(a1,a909,a109),x88181)),f329(f312(a1,a909,a109),x88182)))+~P1(f329(f329(f240(f917(a1,a904)),x88181),x88182))
% 192.24/192.22 [9044]~E(f752(x90442,x90441),f753(x90442,x90441))+~P1(f329(f140(x90441),f754(x90442,x90441)))+~P1(f329(f140(f910(x90441)),x90442))+P1(f329(f140(x90441),f329(f145(f910(x90441),f910(x90441),f137(x90441),f118(x90441)),x90442)))
% 192.24/192.22 [9133]~P48(x91332)+~P48(x91331)+~P1(f329(f329(f240(f917(a909,a904)),f329(f312(a1,a909,a109),x91331)),f329(f312(a1,a909,a109),x91332)))+P1(f329(f329(f240(f917(a1,a904)),x91331),x91332))
% 192.24/192.22 [9134]~P48(x91342)+~P48(x91341)+~P1(f329(f329(f239(f917(a909,a904)),f329(f312(a1,a909,a109),x91341)),f329(f312(a1,a909,a109),x91342)))+P1(f329(f329(f239(f917(a1,a904)),x91341),x91342))
% 192.24/192.22 [9140]~E(f752(x91402,x91401),f753(x91402,x91401))+~P1(f329(f140(f910(x91401)),x91402))+P1(f329(f140(x91401),f329(f145(f910(x91401),f910(x91401),f137(x91401),f118(x91401)),x91402)))+P1(f329(f329(f331(f910(x91401)),f754(x91402,x91401)),f329(f175(f910(x91401)),x91402)))
% 192.24/192.22 [9183]~P1(f329(f140(x91831),f754(x91832,x91831)))+~P1(f329(f140(f910(x91831)),x91832))+P1(f329(f140(x91831),f329(f145(f910(x91831),f910(x91831),f137(x91831),f118(x91831)),x91832)))+P1(f329(f329(f331(f910(x91831)),f753(x91832,x91831)),f329(f175(f910(x91831)),x91832)))
% 192.24/192.22 [9184]~P1(f329(f140(x91841),f754(x91842,x91841)))+~P1(f329(f140(f910(x91841)),x91842))+P1(f329(f140(x91841),f329(f145(f910(x91841),f910(x91841),f137(x91841),f118(x91841)),x91842)))+P1(f329(f329(f331(f910(x91841)),f752(x91842,x91841)),f329(f175(f910(x91841)),x91842)))
% 192.24/192.22 [9268]~P1(f329(f140(f910(x92681)),x92682))+P1(f329(f140(x92681),f329(f145(f910(x92681),f910(x92681),f137(x92681),f118(x92681)),x92682)))+P1(f329(f329(f331(f910(x92681)),f753(x92682,x92681)),f329(f175(f910(x92681)),x92682)))+P1(f329(f329(f331(f910(x92681)),f754(x92682,x92681)),f329(f175(f910(x92681)),x92682)))
% 192.24/192.22 [9269]~P1(f329(f140(f910(x92691)),x92692))+P1(f329(f140(x92691),f329(f145(f910(x92691),f910(x92691),f137(x92691),f118(x92691)),x92692)))+P1(f329(f329(f331(f910(x92691)),f752(x92692,x92691)),f329(f175(f910(x92691)),x92692)))+P1(f329(f329(f331(f910(x92691)),f754(x92692,x92691)),f329(f175(f910(x92691)),x92692)))
% 192.24/192.22 [9284]~E(f329(f329(f106(f917(x92841,a904)),f329(f175(x92841),f753(x92842,x92841))),f329(f175(x92841),f752(x92842,x92841))),f191(f917(x92841,a904)))+~P1(f329(f140(x92841),f754(x92842,x92841)))+~P1(f329(f140(f910(x92841)),x92842))+P1(f329(f140(x92841),f329(f145(f910(x92841),f910(x92841),f137(x92841),f118(x92841)),x92842)))
% 192.24/192.22 [9347]~E(f329(f329(f106(f917(x93471,a904)),f329(f175(x93471),f753(x93472,x93471))),f329(f175(x93471),f752(x93472,x93471))),f191(f917(x93471,a904)))+~P1(f329(f140(f910(x93471)),x93472))+P1(f329(f140(x93471),f329(f145(f910(x93471),f910(x93471),f137(x93471),f118(x93471)),x93472)))+P1(f329(f329(f331(f910(x93471)),f754(x93472,x93471)),f329(f175(f910(x93471)),x93472)))
% 192.24/192.22 [9619]E(x96191,f2(a1))+E(x96192,f2(a1))+E(f329(f329(f88(a1,f916(a1,a1)),f329(f329(a221,x96192),x96191)),f329(f329(f18(a1,a1,f916(a1,a1)),f329(f329(f8(a1,f917(a1,f916(a1,a1)),a1),f257(a1,a1)),f329(f37(a1),x96192))),f329(f37(a1),x96191))),f219(x96192,x96191))+P1(f329(f329(f240(a1),x96191),f2(a1)))
% 192.24/192.22 [8360]~P96(x83602)+~P120(x83602)+~P1(f329(f329(f240(x83602),f329(f108(x83602),x83601)),f80(x83602)))+P1(f329(f329(f240(a1),x83601),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 192.24/192.22 [8361]~P96(x83612)+~P120(x83612)+~P1(f329(f329(f239(x83612),f329(f108(x83612),x83611)),f80(x83612)))+P1(f329(f329(f239(a1),x83611),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 192.24/192.22 [8647]~P120(x86471)+~P96(x86471)+P1(f329(f329(f240(x86471),f329(f108(x86471),x86472)),f80(x86471)))+~P1(f329(f329(f240(a1),x86472),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 192.24/192.22 [8648]~P120(x86481)+~P96(x86481)+P1(f329(f329(f239(x86481),f329(f108(x86481),x86482)),f80(x86481)))+~P1(f329(f329(f239(a1),x86482),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)))
% 192.24/192.22 [8846]~P96(x88462)+~P120(x88462)+~P1(f329(f329(f240(x88462),f80(x88462)),f329(f108(x88462),x88461)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88461))
% 192.24/192.22 [8847]~P96(x88472)+~P120(x88472)+~P1(f329(f329(f239(x88472),f80(x88472)),f329(f108(x88472),x88471)))+P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x88471))
% 192.24/192.22 [9220]~P120(x92201)+~P96(x92201)+P1(f329(f329(f240(x92201),f80(x92201)),f329(f108(x92201),x92202)))+~P1(f329(f329(f240(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92202))
% 192.24/192.22 [9221]~P120(x92211)+~P96(x92211)+P1(f329(f329(f239(x92211),f80(x92211)),f329(f108(x92211),x92212)))+~P1(f329(f329(f239(a1),f329(f329(f23(a1),f329(f329(f82(a1),a85),a85)),a102)),x92212))
% 192.24/192.22 [9749]~P144(x97492)+E(x97491,f80(x97492))+E(x97491,f329(f81(x97492),f80(x97492)))+~E(f329(f329(f249(x97492),x97491),f329(f108(a909),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(x97492))
% 192.24/192.22 [10015]~P72(x100151)+~P96(x100151)+~P1(f329(f329(f240(x100151),f2(x100151)),x100152))+P1(f329(f329(f240(x100151),f2(x100151)),f329(f329(f292(x100151),x100152),f329(f108(x100151),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))))))
% 192.24/192.22 [10069]~P72(x100691)+~P96(x100691)+P1(f329(f329(f240(x100691),f2(x100691)),x100692))+~P1(f329(f329(f240(x100691),f2(x100691)),f329(f329(f292(x100691),x100692),f329(f108(x100691),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))))))
% 192.24/192.22 [10346]~P129(x103462)+E(x103461,f2(a1))+P1(f329(f329(f240(a1),x103461),f2(a1)))+E(f329(f329(f262(a1,a1,x103462),f329(f329(f7(a1,f917(a1,f917(x103462,x103462)),f917(a1,x103462)),f329(f329(f8(f917(f917(x103462,x103462),x103462),f917(f917(a1,f917(x103462,x103462)),f917(a1,x103462)),a1),f8(f917(x103462,x103462),x103462,a1)),f329(f329(f8(x103462,f917(f917(x103462,x103462),x103462),a1),f88(x103462,x103462)),f107(x103462)))),f329(f329(f7(a1,f917(x103462,x103462),f917(x103462,x103462)),f329(f329(f8(f917(x103462,f917(x103462,x103462)),f917(f917(x103462,x103462),f917(x103462,x103462)),a1),f18(x103462,x103462,x103462)),f329(f329(f7(a1,f917(x103462,x103462),f917(x103462,f917(x103462,x103462))),f329(f329(f8(f917(x103462,f917(x103462,x103462)),f917(f917(x103462,x103462),f917(x103462,f917(x103462,x103462))),a1),f8(x103462,f917(x103462,x103462),x103462)),f329(f329(f8(a904,f917(x103462,f917(x103462,x103462)),a1),f99(x103462)),f329(f329(f7(a1,a1,a904),a326),f2(a1))))),f329(f329(f18(x103462,x103462,x103462),f82(x103462)),f5(x103462))))),f329(f329(f7(x103462,x103462,x103462),f329(f329(f8(x103462,f917(x103462,x103462),x103462),f82(x103462)),f329(f329(f18(x103462,x103462,x103462),f82(x103462)),f5(x103462)))),f80(x103462))))),f47(x103461,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(x103462),x103461))
% 192.24/192.22 [5433]~P45(x54331,x54333)+~P60(x54331,x54333)+~P61(x54331,x54332,x54333)+P14(x54331,x54332,x54333)
% 192.24/192.22 [5191]~P11(x51913)+~P47(x51913,x51913,x51911)+E(f329(x51911,x51912),x51912)+~E(x51912,f101(x51913,x51911))
% 192.24/192.22 [5192]~P11(x51923)+~P47(x51923,x51923,x51921)+E(f329(x51921,x51922),x51922)+~E(x51922,f100(x51923,x51921))
% 192.24/192.22 [4966]~P95(x49663)+~P96(x49663)+E(x49661,x49662)+~E(f329(f108(x49663),x49661),f329(f108(x49663),x49662))
% 192.24/192.22 [5443]~P58(x54431,x54432)+~P59(x54431,x54432)+P21(x54431,x54432)+~P1(f329(f329(x54432,x54433),x54433))
% 192.24/192.22 [5934]P21(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))
% 192.24/192.22 [6138]~P1(f329(x61381,x61382))+~P1(f329(x61381,x61383))+~P1(f329(f329(f239(a909),x61383),f861(x61382,x61381)))+P1(f329(x61381,f2(a909)))
% 192.24/192.22 [6207]P21(x62071,x62072)+P1(f329(f329(x62072,f831(x62072)),f831(x62072)))+P1(f329(f329(x62072,f831(x62072)),f832(x62072)))+~P1(f329(f329(x62072,x62073),x62073))
% 192.24/192.22 [6208]P21(x62081,x62082)+P1(f329(f329(x62082,f831(x62082)),f832(x62082)))+P1(f329(f329(x62082,f832(x62082)),f832(x62082)))+~P1(f329(f329(x62082,x62083),x62083))
% 192.24/192.22 [6561]P149(x65612,x65613,x65611)+E(x65611,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f848(x65611,x65613,x65612)))+P1(f329(f329(f240(a1),x65611),f2(a1)))
% 192.24/192.22 [6562]P148(x65622,x65623,x65621)+E(x65621,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f853(x65621,x65623,x65622)))+P1(f329(f329(f240(a1),x65621),f2(a1)))
% 192.24/192.22 [6685]P148(x66851,x66852,x66853)+~P1(f329(x66851,x66852))+P1(f329(f329(f239(a1),f2(a1)),f853(x66853,x66852,x66851)))+P1(f329(f329(f240(a1),x66853),f2(a1)))
% 192.24/192.22 [6712]P149(x67121,x67122,x67123)+P1(f329(f329(f239(a1),f2(a1)),f848(x67123,x67122,x67121)))+~P1(f329(x67121,f2(a1)))+P1(f329(f329(f240(a1),x67123),f2(a1)))
% 192.24/192.22 [6740]P149(x67402,x67403,x67401)+E(x67401,f2(a1))+~P1(f329(x67402,f849(x67401,x67403,x67402)))+P1(f329(f329(f240(a1),x67401),f2(a1)))
% 192.24/192.22 [6741]P148(x67412,x67413,x67411)+E(x67411,f2(a1))+~P1(f329(x67412,f853(x67411,x67413,x67412)))+P1(f329(f329(f240(a1),x67411),f2(a1)))
% 192.24/192.22 [6840]~P112(x68401)+~P11(x68401)+~P1(f329(f329(f240(x68401),x68402),f38(x68401,x68403)))+P1(f329(f329(f240(x68401),x68402),f612(x68403,x68402,x68401)))
% 192.24/192.22 [6849]P148(x68491,x68492,x68493)+~P1(f329(x68491,x68492))+~P1(f329(x68491,f853(x68493,x68492,x68491)))+P1(f329(f329(f240(a1),x68493),f2(a1)))
% 192.24/192.22 [6880]P149(x68801,x68802,x68803)+~P1(f329(x68801,f849(x68803,x68802,x68801)))+~P1(f329(x68801,f2(a1)))+P1(f329(f329(f240(a1),x68803),f2(a1)))
% 192.24/192.22 [7127]P149(x71272,x71273,x71271)+E(x71271,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f848(x71271,x71273,x71272)))+P1(f329(f329(f240(a1),x71271),f847(x71271,x71273,x71272)))
% 192.24/192.22 [7128]P148(x71282,x71283,x71281)+E(x71281,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f853(x71281,x71283,x71282)))+P1(f329(f329(f240(a1),x71281),f855(x71281,x71283,x71282)))
% 192.24/192.22 [7245]P148(x72451,x72452,x72453)+~P1(f329(x72451,x72452))+P1(f329(f329(f239(a1),f2(a1)),f853(x72453,x72452,x72451)))+P1(f329(f329(f240(a1),x72453),f855(x72453,x72452,x72451)))
% 192.24/192.22 [7264]P149(x72641,x72642,x72643)+P1(f329(f329(f239(a1),f2(a1)),f848(x72643,x72642,x72641)))+P1(f329(f329(f240(a1),x72643),f847(x72643,x72642,x72641)))+~P1(f329(x72641,f2(a1)))
% 192.24/192.22 [7297]P149(x72972,x72973,x72971)+E(x72971,f2(a1))+~P1(f329(x72972,f849(x72971,x72973,x72972)))+P1(f329(f329(f240(a1),x72971),f847(x72971,x72973,x72972)))
% 192.24/192.22 [7298]P148(x72982,x72983,x72981)+E(x72981,f2(a1))+~P1(f329(x72982,f853(x72981,x72983,x72982)))+P1(f329(f329(f240(a1),x72981),f855(x72981,x72983,x72982)))
% 192.24/192.22 [7342]P149(x73422,x73423,x73421)+E(x73421,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f848(x73421,x73423,x73422)))+~P1(f329(x73422,f852(x73421,x73423,x73422)))
% 192.24/192.22 [7343]P148(x73432,x73433,x73431)+E(x73431,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f853(x73431,x73433,x73432)))+~P1(f329(x73432,f855(x73431,x73433,x73432)))
% 192.24/192.22 [7444]P148(x74441,x74442,x74443)+~P1(f329(x74441,x74442))+~P1(f329(x74441,f853(x74443,x74442,x74441)))+P1(f329(f329(f240(a1),x74443),f855(x74443,x74442,x74441)))
% 192.24/192.22 [7460]P149(x74601,x74602,x74603)+~P1(f329(x74601,f849(x74603,x74602,x74601)))+P1(f329(f329(f240(a1),x74603),f847(x74603,x74602,x74601)))+~P1(f329(x74601,f2(a1)))
% 192.24/192.22 [7465]P148(x74651,x74652,x74653)+~P1(f329(x74651,x74652))+P1(f329(f329(f239(a1),f2(a1)),f853(x74653,x74652,x74651)))+~P1(f329(x74651,f855(x74653,x74652,x74651)))
% 192.24/192.22 [7481]P149(x74811,x74812,x74813)+P1(f329(f329(f239(a1),f2(a1)),f848(x74813,x74812,x74811)))+~P1(f329(x74811,f852(x74813,x74812,x74811)))+~P1(f329(x74811,f2(a1)))
% 192.24/192.22 [7502]P149(x75022,x75023,x75021)+E(x75021,f2(a1))+~P1(f329(x75022,f849(x75021,x75023,x75022)))+~P1(f329(x75022,f852(x75021,x75023,x75022)))
% 192.24/192.22 [7503]P148(x75032,x75033,x75031)+E(x75031,f2(a1))+~P1(f329(x75032,f853(x75031,x75033,x75032)))+~P1(f329(x75032,f855(x75031,x75033,x75032)))
% 192.24/192.22 [7597]P148(x75971,x75972,x75973)+~P1(f329(x75971,x75972))+~P1(f329(x75971,f853(x75973,x75972,x75971)))+~P1(f329(x75971,f855(x75973,x75972,x75971)))
% 192.24/192.22 [7614]P149(x76141,x76142,x76143)+~P1(f329(x76141,f849(x76143,x76142,x76141)))+~P1(f329(x76141,f852(x76143,x76142,x76141)))+~P1(f329(x76141,f2(a1)))
% 192.24/192.22 [7658]P149(x76582,x76583,x76581)+E(x76581,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f848(x76581,x76583,x76582)))+P1(f329(f329(f239(a1),f847(x76581,x76583,x76582)),f2(a1)))
% 192.24/192.22 [7659]P148(x76592,x76593,x76591)+E(x76591,f2(a1))+P1(f329(f329(f239(a1),f2(a1)),f853(x76591,x76593,x76592)))+P1(f329(f329(f239(a1),f855(x76591,x76593,x76592)),f2(a1)))
% 192.24/192.22 [7660]~P109(x76601)+~P1(f329(f329(f331(x76601),x76603),f189(x76601)))+~P1(f329(f329(f331(x76601),x76602),f189(x76601)))+P1(f329(f329(f331(x76601),f329(f329(f82(x76601),x76602),x76603)),f189(x76601)))
% 192.24/192.22 [7661]~P129(x76611)+~P1(f329(f329(f331(x76611),x76613),f114(x76611)))+~P1(f329(f329(f331(x76611),x76612),f114(x76611)))+P1(f329(f329(f331(x76611),f329(f329(f82(x76611),x76612),x76613)),f114(x76611)))
% 192.24/192.22 [7662]~P129(x76621)+~P1(f329(f329(f331(x76621),x76623),f114(x76621)))+~P1(f329(f329(f331(x76621),x76622),f114(x76621)))+P1(f329(f329(f331(x76621),f329(f329(f23(x76621),x76622),x76623)),f114(x76621)))
% 192.24/192.22 [7663]~P109(x76631)+~P1(f329(f329(f331(x76631),x76633),f189(x76631)))+~P1(f329(f329(f331(x76631),x76632),f189(x76631)))+P1(f329(f329(f331(x76631),f329(f329(f83(x76631),x76632),x76633)),f189(x76631)))
% 192.24/192.22 [7664]~P129(x76641)+~P1(f329(f329(f331(x76641),x76643),f114(x76641)))+~P1(f329(f329(f331(x76641),x76642),f114(x76641)))+P1(f329(f329(f331(x76641),f329(f329(f83(x76641),x76642),x76643)),f114(x76641)))
% 192.24/192.22 [7665]~P91(x76651)+~P1(f329(f329(f240(x76651),x76653),f2(x76651)))+~P1(f329(f329(f240(x76651),x76652),f2(x76651)))+P1(f329(f329(f240(x76651),f329(f329(f82(x76651),x76652),x76653)),f2(x76651)))
% 192.24/192.22 [7666]~P91(x76661)+~P1(f329(f329(f239(x76661),x76662),f2(x76661)))+~P1(f329(f329(f240(x76661),x76663),f2(x76661)))+P1(f329(f329(f240(x76661),f329(f329(f82(x76661),x76662),x76663)),f2(x76661)))
% 192.24/192.22 [7667]~P91(x76671)+~P1(f329(f329(f239(x76671),x76673),f2(x76671)))+~P1(f329(f329(f240(x76671),x76672),f2(x76671)))+P1(f329(f329(f240(x76671),f329(f329(f82(x76671),x76672),x76673)),f2(x76671)))
% 192.24/192.22 [7668]~P91(x76681)+~P1(f329(f329(f239(x76681),x76683),f2(x76681)))+~P1(f329(f329(f239(x76681),x76682),f2(x76681)))+P1(f329(f329(f239(x76681),f329(f329(f82(x76681),x76682),x76683)),f2(x76681)))
% 192.24/192.22 [7695]P149(x76953,x76952,x76951)+E(x76951,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76951),f849(x76951,x76952,x76953))),f848(x76951,x76952,x76953)),x76952)+P1(f329(f329(f240(a1),x76951),f2(a1)))
% 192.24/192.22 [7696]P148(x76963,x76962,x76961)+E(x76961,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x76961),f854(x76961,x76962,x76963))),f853(x76961,x76962,x76963)),x76962)+P1(f329(f329(f240(a1),x76961),f2(a1)))
% 192.24/192.22 [7778]P148(x77781,x77782,x77783)+~P1(f329(x77781,x77782))+P1(f329(f329(f239(a1),f2(a1)),f853(x77783,x77782,x77781)))+P1(f329(f329(f239(a1),f855(x77783,x77782,x77781)),f2(a1)))
% 192.24/192.22 [7808]P149(x78081,x78082,x78083)+P1(f329(f329(f239(a1),f2(a1)),f848(x78083,x78082,x78081)))+~P1(f329(x78081,f2(a1)))+P1(f329(f329(f239(a1),f847(x78083,x78082,x78081)),f2(a1)))
% 192.24/192.22 [7817]P148(x78173,x78172,x78171)+~P1(f329(x78173,x78172))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78171),f854(x78171,x78172,x78173))),f853(x78171,x78172,x78173)),x78172)+P1(f329(f329(f240(a1),x78171),f2(a1)))
% 192.24/192.22 [7823]P149(x78232,x78233,x78231)+E(x78231,f2(a1))+~P1(f329(x78232,f849(x78231,x78233,x78232)))+P1(f329(f329(f239(a1),f847(x78231,x78233,x78232)),f2(a1)))
% 192.24/192.22 [7824]P148(x78242,x78243,x78241)+E(x78241,f2(a1))+~P1(f329(x78242,f853(x78241,x78243,x78242)))+P1(f329(f329(f239(a1),f855(x78241,x78243,x78242)),f2(a1)))
% 192.24/192.22 [7829]P149(x78293,x78292,x78291)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78291),f849(x78291,x78292,x78293))),f848(x78291,x78292,x78293)),x78292)+~P1(f329(x78293,f2(a1)))+P1(f329(f329(f240(a1),x78291),f2(a1)))
% 192.24/192.22 [7886]P148(x78861,x78862,x78863)+~P1(f329(x78861,x78862))+~P1(f329(x78861,f853(x78863,x78862,x78861)))+P1(f329(f329(f239(a1),f855(x78863,x78862,x78861)),f2(a1)))
% 192.24/192.22 [7890]P149(x78901,x78902,x78903)+~P1(f329(x78901,f849(x78903,x78902,x78901)))+~P1(f329(x78901,f2(a1)))+P1(f329(f329(f239(a1),f847(x78903,x78902,x78901)),f2(a1)))
% 192.24/192.22 [7965]~P72(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)))
% 192.24/192.22 [7966]~P128(x79661)+~P1(f329(f329(f239(x79661),f329(f329(f83(x79661),x79663),x79662)),f2(x79661)))+P1(f329(f329(f239(x79661),x79662),f2(x79661)))+P1(f329(f329(f239(x79661),x79663),f2(x79661)))
% 192.24/192.22 [7967]~P72(x79671)+~P1(f329(f329(f239(x79671),f329(f329(f292(x79671),x79673),x79672)),f2(x79671)))+P1(f329(f329(f239(x79671),x79672),f2(x79671)))+P1(f329(f329(f239(x79671),x79673),f2(x79671)))
% 192.24/192.22 [8081]P149(x80813,x80812,x80811)+E(x80811,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80811),f849(x80811,x80812,x80813))),f848(x80811,x80812,x80813)),x80812)+P1(f329(f329(f240(a1),x80811),f847(x80811,x80812,x80813)))
% 192.24/192.22 [8082]P148(x80823,x80822,x80821)+E(x80821,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80821),f854(x80821,x80822,x80823))),f853(x80821,x80822,x80823)),x80822)+P1(f329(f329(f240(a1),x80821),f855(x80821,x80822,x80823)))
% 192.24/192.22 [8094]P149(x80943,x80942,x80941)+E(x80941,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80941),f852(x80941,x80942,x80943))),f847(x80941,x80942,x80943)),x80942)+P1(f329(f329(f239(a1),f2(a1)),f848(x80941,x80942,x80943)))
% 192.24/192.22 [8095]P148(x80953,x80952,x80951)+E(x80951,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x80951),f856(x80951,x80952,x80953))),f855(x80951,x80952,x80953)),x80952)+P1(f329(f329(f239(a1),f2(a1)),f853(x80951,x80952,x80953)))
% 192.24/192.22 [8142]P148(x81423,x81422,x81421)+~P1(f329(x81423,x81422))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81421),f854(x81421,x81422,x81423))),f853(x81421,x81422,x81423)),x81422)+P1(f329(f329(f240(a1),x81421),f855(x81421,x81422,x81423)))
% 192.24/192.22 [8154]P149(x81543,x81542,x81541)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81541),f849(x81541,x81542,x81543))),f848(x81541,x81542,x81543)),x81542)+P1(f329(f329(f240(a1),x81541),f847(x81541,x81542,x81543)))+~P1(f329(x81543,f2(a1)))
% 192.24/192.22 [8160]P148(x81603,x81602,x81601)+~P1(f329(x81603,x81602))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81601),f856(x81601,x81602,x81603))),f855(x81601,x81602,x81603)),x81602)+P1(f329(f329(f239(a1),f2(a1)),f853(x81601,x81602,x81603)))
% 192.24/192.22 [8168]P149(x81683,x81682,x81681)+E(f329(f329(f82(a1),f329(f329(f83(a1),x81681),f852(x81681,x81682,x81683))),f847(x81681,x81682,x81683)),x81682)+P1(f329(f329(f239(a1),f2(a1)),f848(x81681,x81682,x81683)))+~P1(f329(x81683,f2(a1)))
% 192.24/192.22 [8179]P149(x81793,x81792,x81791)+E(x81791,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81791),f849(x81791,x81792,x81793))),f848(x81791,x81792,x81793)),x81792)+~P1(f329(x81793,f852(x81791,x81792,x81793)))
% 192.24/192.22 [8180]P148(x81803,x81802,x81801)+E(x81801,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81801),f854(x81801,x81802,x81803))),f853(x81801,x81802,x81803)),x81802)+~P1(f329(x81803,f855(x81801,x81802,x81803)))
% 192.24/192.22 [8181]P149(x81813,x81812,x81811)+E(x81811,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81811),f852(x81811,x81812,x81813))),f847(x81811,x81812,x81813)),x81812)+~P1(f329(x81813,f849(x81811,x81812,x81813)))
% 192.24/192.22 [8182]P148(x81823,x81822,x81821)+E(x81821,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x81821),f856(x81821,x81822,x81823))),f855(x81821,x81822,x81823)),x81822)+~P1(f329(x81823,f853(x81821,x81822,x81823)))
% 192.24/192.22 [8244]P148(x82443,x82442,x82441)+~P1(f329(x82443,x82442))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82441),f854(x82441,x82442,x82443))),f853(x82441,x82442,x82443)),x82442)+~P1(f329(x82443,f855(x82441,x82442,x82443)))
% 192.24/192.22 [8245]P148(x82453,x82452,x82451)+~P1(f329(x82453,x82452))+E(f329(f329(f82(a1),f329(f329(f83(a1),x82451),f856(x82451,x82452,x82453))),f855(x82451,x82452,x82453)),x82452)+~P1(f329(x82453,f853(x82451,x82452,x82453)))
% 192.24/192.22 [8255]P149(x82553,x82552,x82551)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82551),f849(x82551,x82552,x82553))),f848(x82551,x82552,x82553)),x82552)+~P1(f329(x82553,f852(x82551,x82552,x82553)))+~P1(f329(x82553,f2(a1)))
% 192.24/192.22 [8256]P149(x82563,x82562,x82561)+E(f329(f329(f82(a1),f329(f329(f83(a1),x82561),f852(x82561,x82562,x82563))),f847(x82561,x82562,x82563)),x82562)+~P1(f329(x82563,f849(x82561,x82562,x82563)))+~P1(f329(x82563,f2(a1)))
% 192.24/192.22 [8353]P149(x83533,x83532,x83531)+E(x83531,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83531),f849(x83531,x83532,x83533))),f848(x83531,x83532,x83533)),x83532)+P1(f329(f329(f239(a1),f847(x83531,x83532,x83533)),f2(a1)))
% 192.24/192.22 [8354]P148(x83543,x83542,x83541)+E(x83541,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83541),f854(x83541,x83542,x83543))),f853(x83541,x83542,x83543)),x83542)+P1(f329(f329(f239(a1),f855(x83541,x83542,x83543)),f2(a1)))
% 192.24/192.22 [8393]P148(x83933,x83932,x83931)+~P1(f329(x83933,x83932))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83931),f854(x83931,x83932,x83933))),f853(x83931,x83932,x83933)),x83932)+P1(f329(f329(f239(a1),f855(x83931,x83932,x83933)),f2(a1)))
% 192.24/192.22 [8398]P149(x83983,x83982,x83981)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83981),f849(x83981,x83982,x83983))),f848(x83981,x83982,x83983)),x83982)+~P1(f329(x83983,f2(a1)))+P1(f329(f329(f239(a1),f847(x83981,x83982,x83983)),f2(a1)))
% 192.24/192.22 [8532]P149(x85323,x85322,x85321)+E(x85321,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85321),f852(x85321,x85322,x85323))),f847(x85321,x85322,x85323)),x85322)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85321),f849(x85321,x85322,x85323))),f848(x85321,x85322,x85323)),x85322)
% 192.24/192.22 [8533]P148(x85333,x85332,x85331)+E(x85331,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85331),f856(x85331,x85332,x85333))),f855(x85331,x85332,x85333)),x85332)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85331),f854(x85331,x85332,x85333))),f853(x85331,x85332,x85333)),x85332)
% 192.24/192.22 [8556]P148(x85563,x85562,x85561)+~P1(f329(x85563,x85562))+E(f329(f329(f82(a1),f329(f329(f83(a1),x85561),f856(x85561,x85562,x85563))),f855(x85561,x85562,x85563)),x85562)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85561),f854(x85561,x85562,x85563))),f853(x85561,x85562,x85563)),x85562)
% 192.24/192.22 [8568]P149(x85683,x85682,x85681)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85681),f852(x85681,x85682,x85683))),f847(x85681,x85682,x85683)),x85682)+E(f329(f329(f82(a1),f329(f329(f83(a1),x85681),f849(x85681,x85682,x85683))),f848(x85681,x85682,x85683)),x85682)+~P1(f329(x85683,f2(a1)))
% 192.24/192.22 [9229]~P128(x92291)+~E(x92293,f2(x92291))+~E(x92292,f2(x92291))+P1(f329(f329(f239(x92291),f329(f329(f82(x92291),f329(f329(f83(x92291),x92292),x92292)),f329(f329(f83(x92291),x92293),x92293))),f2(x92291)))
% 192.24/192.22 [10284]~P120(x102841)+~E(x102843,f2(x102841))+~E(x102842,f2(x102841))+P1(f329(f329(f239(x102841),f329(f329(f82(x102841),f329(f329(f249(x102841),x102842),f329(f108(a909),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(x102841),x102843),f329(f108(a909),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(x102841)))
% 192.24/192.22 [4914]~E(x49143,x49141)+~P123(x49142)+E(x49141,f2(x49142))+E(f329(f329(f292(x49142),x49143),x49141),f80(x49142))
% 192.24/192.22 [4967]~P3(x49671)+~E(x49673,f191(x49671))+~E(x49672,f191(x49671))+E(f329(f329(f115(x49671),x49672),x49673),f191(x49671))
% 192.24/192.22 [4968]~P102(x49681)+~E(x49683,f247(x49681))+~E(x49682,f247(x49681))+E(f329(f329(f106(x49681),x49682),x49683),f247(x49681))
% 192.24/192.22 [5062]~P123(x50623)+E(x50621,x50622)+E(x50622,f2(x50623))+~E(f329(f329(f292(x50623),x50621),x50622),f80(x50623))
% 192.24/192.22 [5080]~P136(x50802)+E(x50801,f2(x50802))+E(x50803,f2(x50802))+~E(f329(f329(f83(x50802),x50803),x50801),f2(x50802))
% 192.24/192.22 [5081]~P143(x50812)+E(x50811,f2(x50812))+E(x50813,f2(x50812))+~E(f329(f329(f83(x50812),x50813),x50811),f2(x50812))
% 192.24/192.22 [5462]~P122(x54623)+E(x54621,x54622)+E(x54621,f329(f81(x54623),x54622))+~E(f329(f329(f83(x54623),x54621),x54621),f329(f329(f83(x54623),x54622),x54622))
% 192.24/192.22 [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))
% 192.24/192.22 [5577]~P120(x55773)+E(x55771,x55772)+P1(f329(f329(f240(x55773),x55772),x55771))+P1(f329(f329(f240(x55773),x55771),x55772))
% 192.24/192.22 [5578]~P112(x55783)+E(x55781,x55782)+P1(f329(f329(f240(x55783),x55782),x55781))+P1(f329(f329(f240(x55783),x55781),x55782))
% 192.24/192.22 [5579]~E(x55792,x55793)+~P112(x55791)+P1(f329(f329(f239(x55791),x55792),x55793))+P1(f329(f329(f240(x55791),x55792),x55793))
% 192.24/192.22 [5840]~P113(x58403)+E(x58401,x58402)+~P1(f329(f329(f239(x58403),x58402),x58401))+P1(f329(f329(f240(x58403),x58402),x58401))
% 192.24/192.22 [5842]~P112(x58423)+E(x58421,x58422)+~P1(f329(f329(f239(x58423),x58421),x58422))+P1(f329(f329(f240(x58423),x58421),x58422))
% 192.24/192.22 [5848]~P113(x58483)+E(x58481,x58482)+~P1(f329(f329(f239(x58483),x58481),x58482))+P1(f329(f329(f240(x58483),x58481),x58482))
% 192.24/192.22 [5954]P148(x59541,x59542,x59543)+~P1(f329(x59541,x59542))+P1(f329(f329(f240(a1),x59543),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x59543))
% 192.24/192.22 [6003]P149(x60031,x60032,x60033)+~P1(f329(x60031,f2(a1)))+P1(f329(f329(f240(a1),x60033),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x60033))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [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))
% 192.24/192.22 [6047]~P112(x60471)+E(f329(f329(f237(x60471),x60472),f14(x60471,x60473)),f14(x60471,x60473))+~P1(f329(f62(x60471),x60473))+~P1(f329(f329(f331(x60471),x60472),x60473))
% 192.24/192.22 [6048]~P112(x60481)+E(f329(f329(f238(x60481),x60482),f15(x60481,x60483)),f15(x60481,x60483))+~P1(f329(f62(x60481),x60483))+~P1(f329(f329(f331(x60481),x60482),x60483))
% 192.24/192.22 [6089]E(x60891,x60892)+~P113(x60893)+~P1(f329(f329(f239(x60893),x60892),x60891))+~P1(f329(f329(f239(x60893),x60891),x60892))
% 192.24/192.22 [6235]~P111(x62351)+P1(f329(f329(f239(x62351),x62353),x62352))+~P1(f329(f329(f239(x62351),x62352),x62353))+P1(f329(f329(f240(x62351),x62352),x62353))
% 192.24/192.22 [6261]~P112(x62611)+~P1(f329(f62(x62611),x62613))+P1(f329(f329(f239(x62611),x62612),f15(x62611,x62613)))+~P1(f329(f329(f331(x62611),x62612),x62613))
% 192.24/192.22 [6306]~P112(x63061)+E(f329(f329(f237(x63061),x63062),f11(x63061,f238(x63061),x63063)),x63062)+~P1(f329(f62(x63061),x63063))+~P1(f329(f329(f331(x63061),x63062),x63063))
% 192.24/192.22 [6307]~P112(x63071)+E(f329(f329(f238(x63071),x63072),f12(x63071,f237(x63071),x63073)),x63072)+~P1(f329(f62(x63071),x63073))+~P1(f329(f329(f331(x63071),x63072),x63073))
% 192.24/192.22 [6446]E(x64461,x64462)+~E(f329(f329(f23(a909),x64461),x64463),f329(f329(f23(a909),x64462),x64463))+~P1(f329(f329(f239(a909),x64463),x64461))+~P1(f329(f329(f239(a909),x64463),x64462))
% 192.24/192.22 [6473]~P112(x64731)+~P1(f329(f62(x64731),x64732))+~P1(f329(f329(f331(x64731),x64733),x64732))+P1(f329(f329(f239(x64731),f14(x64731,x64732)),x64733))
% 192.24/192.22 [6539]P149(x65392,x65393,x65391)+E(x65391,f2(a1))+P1(f329(f329(f240(a1),x65391),f847(x65391,x65393,x65392)))+P1(f329(f329(f240(a1),f2(a1)),x65391))
% 192.24/192.22 [6540]P148(x65402,x65403,x65401)+E(x65401,f2(a1))+P1(f329(f329(f240(a1),x65401),f855(x65401,x65403,x65402)))+P1(f329(f329(f240(a1),f2(a1)),x65401))
% 192.24/192.22 [6541]~P112(x65411)+E(f329(f329(f237(x65411),x65412),f12(x65411,f237(x65411),x65413)),f12(x65411,f237(x65411),x65413))+~P1(f329(f62(x65411),x65413))+~P1(f329(f329(f331(x65411),x65412),x65413))
% 192.24/192.22 [6542]~P112(x65421)+E(f329(f329(f238(x65421),x65422),f11(x65421,f238(x65421),x65423)),f11(x65421,f238(x65421),x65423))+~P1(f329(f62(x65421),x65423))+~P1(f329(f329(f331(x65421),x65422),x65423))
% 192.24/192.22 [6548]~P1(f329(x65481,x65482))+P1(f329(x65481,f474(x65482,x65481,x65483)))+P1(f329(x65481,f2(a909)))+~P1(f329(f329(f240(a909),x65482),x65483))
% 192.24/192.22 [6603]~P1(f329(x66031,x66032))+~P1(f329(f62(x66033),x66032))+P1(f329(x66031,f719(x66031,x66032,x66033)))+P1(f329(x66031,f191(f917(x66033,a904))))
% 192.24/192.22 [6618]~P120(x66181)+~P96(x66181)+P1(f329(f329(f240(x66181),f329(f108(x66181),x66182)),f329(f108(x66181),x66183)))+~P1(f329(f329(f240(a1),x66182),x66183))
% 192.24/192.22 [6619]~P120(x66191)+~P96(x66191)+P1(f329(f329(f239(x66191),f329(f108(x66191),x66192)),f329(f108(x66191),x66193)))+~P1(f329(f329(f239(a1),x66192),x66193))
% 192.24/192.22 [6622]~P1(f329(x66221,x66223))+~P1(f329(f62(x66222),x66223))+P1(f329(f62(x66222),f719(x66221,x66223,x66222)))+P1(f329(x66221,f191(f917(x66222,a904))))
% 192.24/192.22 [6655]P148(x66551,x66552,x66553)+~P1(f329(x66551,x66552))+P1(f329(f329(f240(a1),x66553),f855(x66553,x66552,x66551)))+P1(f329(f329(f240(a1),f2(a1)),x66553))
% 192.24/192.22 [6692]P149(x66921,x66922,x66923)+P1(f329(f329(f240(a1),x66923),f847(x66923,x66922,x66921)))+~P1(f329(x66921,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x66923))
% 192.24/192.22 [6723]~P114(x67231)+~P97(x67231)+E(f329(f329(f237(x67231),f329(f108(x67231),x67232)),f329(f108(x67231),x67233)),f329(f108(x67231),x67233))+P1(f329(f329(f239(x67231),f329(f108(x67231),x67232)),f329(f108(x67231),x67233)))
% 192.24/192.22 [6724]~P114(x67241)+~P97(x67241)+E(f329(f329(f238(x67241),f329(f108(x67241),x67242)),f329(f108(x67241),x67243)),f329(f108(x67241),x67242))+P1(f329(f329(f239(x67241),f329(f108(x67241),x67242)),f329(f108(x67241),x67243)))
% 192.24/192.22 [6781]P149(x67812,x67813,x67811)+E(x67811,f2(a1))+~P1(f329(x67812,f852(x67811,x67813,x67812)))+P1(f329(f329(f240(a1),f2(a1)),x67811))
% 192.24/192.22 [6782]P148(x67822,x67823,x67821)+E(x67821,f2(a1))+~P1(f329(x67822,f855(x67821,x67823,x67822)))+P1(f329(f329(f240(a1),f2(a1)),x67821))
% 192.24/192.22 [6786]P1(f329(x67861,x67862))+~P1(f329(f62(x67863),x67862))+P1(f329(x67861,f782(x67861,x67862,x67863)))+~P1(f329(x67861,f191(f917(x67863,a904))))
% 192.24/192.22 [6807]P1(f329(x68071,x68072))+P1(f329(f62(x68073),f782(x68071,x68072,x68073)))+~P1(f329(f62(x68073),x68072))+~P1(f329(x68071,f191(f917(x68073,a904))))
% 192.24/192.22 [6869]P148(x68691,x68692,x68693)+~P1(f329(x68691,x68692))+~P1(f329(x68691,f855(x68693,x68692,x68691)))+P1(f329(f329(f240(a1),f2(a1)),x68693))
% 192.24/192.22 [6899]P149(x68991,x68992,x68993)+~P1(f329(x68991,f852(x68993,x68992,x68991)))+~P1(f329(x68991,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x68993))
% 192.24/192.22 [7003]~P96(x70033)+~P120(x70033)+~P1(f329(f329(f240(x70033),f329(f108(x70033),x70031)),f329(f108(x70033),x70032)))+P1(f329(f329(f240(a1),x70031),x70032))
% 192.24/192.22 [7004]~P96(x70043)+~P120(x70043)+~P1(f329(f329(f239(x70043),f329(f108(x70043),x70041)),f329(f108(x70043),x70042)))+P1(f329(f329(f239(a1),x70041),x70042))
% 192.24/192.22 [7034]~P112(x70341)+~P19(x70341,x70343)+P19(x70341,f329(f329(f154(x70341),x70342),x70343))+~P1(f329(f329(f239(x70341),x70342),f733(x70343,x70342,x70341)))
% 192.24/192.22 [7035]~P112(x70351)+~P19(x70351,x70353)+P19(x70351,f329(f329(f154(x70351),x70352),x70353))+~P1(f329(f329(f239(x70351),x70352),f735(x70353,x70352,x70351)))
% 192.24/192.22 [7036]~P112(x70361)+~P19(x70361,x70363)+P19(x70361,f329(f329(f154(x70361),x70362),x70363))+~P1(f329(f329(f239(x70361),x70362),f774(x70362,x70363,x70361)))
% 192.24/192.22 [7119]P149(x71192,x71193,x71191)+E(x71191,f2(a1))+P1(f329(f329(f240(a1),x71191),f2(a1)))+P1(f329(f329(f240(a1),f848(x71191,x71193,x71192)),x71191))
% 192.24/192.22 [7120]P148(x71202,x71203,x71201)+E(x71201,f2(a1))+P1(f329(f329(f240(a1),x71201),f2(a1)))+P1(f329(f329(f240(a1),f853(x71201,x71203,x71202)),x71201))
% 192.24/192.22 [7156]P149(x71562,x71563,x71561)+E(x71561,f2(a1))+P1(f329(f329(f239(a1),f847(x71561,x71563,x71562)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x71561))
% 192.24/192.22 [7157]P148(x71572,x71573,x71571)+E(x71571,f2(a1))+P1(f329(f329(f239(a1),f855(x71571,x71573,x71572)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x71571))
% 192.24/192.22 [7182]~P112(x71821)+~P19(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)))
% 192.24/192.22 [7228]P148(x72281,x72282,x72283)+~P1(f329(x72281,x72282))+P1(f329(f329(f240(a1),x72283),f2(a1)))+P1(f329(f329(f240(a1),f853(x72283,x72282,x72281)),x72283))
% 192.24/192.22 [7234]~P114(x72341)+~P97(x72341)+E(f329(f329(f237(x72341),f329(f108(x72341),x72342)),f329(f108(x72341),x72343)),f329(f108(x72341),x72342))+~P1(f329(f329(f239(x72341),f329(f108(x72341),x72342)),f329(f108(x72341),x72343)))
% 192.24/192.22 [7235]~P114(x72351)+~P97(x72351)+E(f329(f329(f238(x72351),f329(f108(x72351),x72352)),f329(f108(x72351),x72353)),f329(f108(x72351),x72353))+~P1(f329(f329(f239(x72351),f329(f108(x72351),x72352)),f329(f108(x72351),x72353)))
% 192.24/192.22 [7249]P149(x72491,x72492,x72493)+~P1(f329(x72491,f2(a1)))+P1(f329(f329(f240(a1),x72493),f2(a1)))+P1(f329(f329(f240(a1),f848(x72493,x72492,x72491)),x72493))
% 192.24/192.22 [7257]P148(x72571,x72572,x72573)+~P1(f329(x72571,x72572))+P1(f329(f329(f239(a1),f855(x72573,x72572,x72571)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x72573))
% 192.24/192.22 [7281]P149(x72811,x72812,x72813)+~P1(f329(x72811,f2(a1)))+P1(f329(f329(f239(a1),f847(x72813,x72812,x72811)),f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x72813))
% 192.24/192.22 [7309]~P1(f329(x73091,x73092))+P1(f329(x73091,f2(a909)))+~P1(f329(f329(f240(a909),x73092),x73093))+P1(f329(f329(f240(a909),f474(x73092,x73091,x73093)),x73093))
% 192.24/192.22 [7326]~P112(x73261)+~P19(x73261,x73263)+P19(x73261,f329(f329(f154(x73261),x73262),x73263))+P1(f329(f329(f331(x73261),f733(x73263,x73262,x73261)),f329(f175(x73261),x73263)))
% 192.24/192.22 [7327]~P112(x73271)+~P19(x73271,x73273)+P19(x73271,f329(f329(f154(x73271),x73272),x73273))+P1(f329(f329(f331(x73271),f735(x73273,x73272,x73271)),f329(f175(x73271),x73273)))
% 192.24/192.22 [7328]~P112(x73281)+~P19(x73281,x73283)+P19(x73281,f329(f329(f154(x73281),x73282),x73283))+P1(f329(f329(f331(x73281),f774(x73282,x73283,x73281)),f329(f175(x73281),x73283)))
% 192.24/192.22 [7448]~P112(x74481)+~P11(x74481)+~P1(f329(f329(f240(x74481),x74483),f38(x74481,x74482)))+P1(f329(f329(f331(x74481),f612(x74482,x74483,x74481)),x74482))
% 192.24/192.22 [7612]~P112(x76121)+~P11(x76121)+~P1(f329(f329(f240(x76121),f39(x76121,x76123)),x76122))+P1(f329(f329(f331(x76121),f613(x76122,x76123,x76121)),x76123))
% 192.24/192.22 [7613]~P112(x76131)+~P11(x76131)+~P1(f329(f329(f240(x76131),f39(x76131,x76133)),x76132))+P1(f329(f329(f240(x76131),f613(x76132,x76133,x76131)),x76132))
% 192.24/192.22 [7626]P149(x76262,x76263,x76261)+E(x76261,f2(a1))+P1(f329(f329(f240(a1),x76261),f847(x76261,x76263,x76262)))+P1(f329(f329(f240(a1),f848(x76261,x76263,x76262)),x76261))
% 192.24/192.22 [7627]P148(x76272,x76273,x76271)+E(x76271,f2(a1))+P1(f329(f329(f240(a1),x76271),f855(x76271,x76273,x76272)))+P1(f329(f329(f240(a1),f853(x76271,x76273,x76272)),x76271))
% 192.24/192.22 [7716]P149(x77163,x77162,x77161)+E(x77161,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77161),f852(x77161,x77162,x77163))),f847(x77161,x77162,x77163)),x77162)+P1(f329(f329(f240(a1),f2(a1)),x77161))
% 192.24/192.22 [7717]P148(x77173,x77172,x77171)+E(x77171,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x77171),f856(x77171,x77172,x77173))),f855(x77171,x77172,x77173)),x77172)+P1(f329(f329(f240(a1),f2(a1)),x77171))
% 192.24/192.22 [7719]~P132(x77191)+~P1(f329(f329(f240(x77191),x77193),f2(x77191)))+P1(f329(f329(f240(x77191),f329(f329(f83(x77191),x77192),x77193)),f2(x77191)))+~P1(f329(f329(f240(x77191),f2(x77191)),x77192))
% 192.24/192.22 [7720]~P132(x77201)+~P1(f329(f329(f240(x77201),x77202),f2(x77201)))+P1(f329(f329(f240(x77201),f329(f329(f83(x77201),x77202),x77203)),f2(x77201)))+~P1(f329(f329(f240(x77201),f2(x77201)),x77203))
% 192.24/192.22 [7721]~P72(x77211)+~P1(f329(f329(f240(x77211),x77213),f2(x77211)))+P1(f329(f329(f240(x77211),f329(f329(f292(x77211),x77212),x77213)),f2(x77211)))+~P1(f329(f329(f240(x77211),f2(x77211)),x77212))
% 192.24/192.22 [7722]~P72(x77221)+~P1(f329(f329(f240(x77221),x77222),f2(x77221)))+P1(f329(f329(f240(x77221),f329(f329(f292(x77221),x77222),x77223)),f2(x77221)))+~P1(f329(f329(f240(x77221),f2(x77221)),x77223))
% 192.24/192.22 [7723]~P73(x77231)+~P1(f329(f329(f240(x77231),x77233),f2(x77231)))+P1(f329(f329(f240(x77231),f329(f329(f292(x77231),x77232),x77233)),f2(x77231)))+~P1(f329(f329(f240(x77231),f2(x77231)),x77232))
% 192.24/192.22 [7724]~P73(x77241)+~P1(f329(f329(f240(x77241),x77242),f2(x77241)))+P1(f329(f329(f240(x77241),f329(f329(f292(x77241),x77242),x77243)),f2(x77241)))+~P1(f329(f329(f240(x77241),f2(x77241)),x77243))
% 192.24/192.22 [7726]~P128(x77261)+~P1(f329(f329(f239(x77261),x77263),f2(x77261)))+P1(f329(f329(f239(x77261),f329(f329(f83(x77261),x77262),x77263)),f2(x77261)))+~P1(f329(f329(f239(x77261),f2(x77261)),x77262))
% 192.24/192.22 [7727]~P128(x77271)+~P1(f329(f329(f239(x77271),x77272),f2(x77271)))+P1(f329(f329(f239(x77271),f329(f329(f83(x77271),x77272),x77273)),f2(x77271)))+~P1(f329(f329(f239(x77271),f2(x77271)),x77273))
% 192.24/192.22 [7729]~P131(x77291)+~P1(f329(f329(f239(x77291),x77293),f2(x77291)))+P1(f329(f329(f239(x77291),f329(f329(f83(x77291),x77292),x77293)),f2(x77291)))+~P1(f329(f329(f239(x77291),f2(x77291)),x77292))
% 192.24/192.22 [7731]~P131(x77311)+~P1(f329(f329(f239(x77311),x77312),f2(x77311)))+P1(f329(f329(f239(x77311),f329(f329(f83(x77311),x77312),x77313)),f2(x77311)))+~P1(f329(f329(f239(x77311),f2(x77311)),x77313))
% 192.24/192.22 [7732]~P72(x77321)+~P1(f329(f329(f239(x77321),x77323),f2(x77321)))+P1(f329(f329(f239(x77321),f329(f329(f292(x77321),x77322),x77323)),f2(x77321)))+~P1(f329(f329(f239(x77321),f2(x77321)),x77322))
% 192.24/192.22 [7733]~P72(x77331)+~P1(f329(f329(f239(x77331),x77332),f2(x77331)))+P1(f329(f329(f239(x77331),f329(f329(f292(x77331),x77332),x77333)),f2(x77331)))+~P1(f329(f329(f239(x77331),f2(x77331)),x77333))
% 192.24/192.22 [7734]~P73(x77341)+~P1(f329(f329(f240(x77341),x77343),f2(x77341)))+P1(f329(f329(f239(x77341),f329(f329(f292(x77341),x77342),x77343)),f2(x77341)))+~P1(f329(f329(f239(x77341),f2(x77341)),x77342))
% 192.24/192.22 [7735]~P73(x77351)+~P1(f329(f329(f239(x77351),x77352),f2(x77351)))+P1(f329(f329(f239(x77351),f329(f329(f292(x77351),x77352),x77353)),f2(x77351)))+~P1(f329(f329(f240(x77351),f2(x77351)),x77353))
% 192.24/192.22 [7751]P148(x77511,x77512,x77513)+~P1(f329(x77511,x77512))+P1(f329(f329(f240(a1),x77513),f855(x77513,x77512,x77511)))+P1(f329(f329(f240(a1),f853(x77513,x77512,x77511)),x77513))
% 192.24/192.22 [7764]P149(x77641,x77642,x77643)+P1(f329(f329(f240(a1),x77643),f847(x77643,x77642,x77641)))+~P1(f329(x77641,f2(a1)))+P1(f329(f329(f240(a1),f848(x77643,x77642,x77641)),x77643))
% 192.24/192.22 [7815]P149(x78152,x78153,x78151)+E(x78151,f2(a1))+~P1(f329(x78152,f852(x78151,x78153,x78152)))+P1(f329(f329(f240(a1),f848(x78151,x78153,x78152)),x78151))
% 192.24/192.22 [7816]P148(x78162,x78163,x78161)+E(x78161,f2(a1))+~P1(f329(x78162,f855(x78161,x78163,x78162)))+P1(f329(f329(f240(a1),f853(x78161,x78163,x78162)),x78161))
% 192.24/192.22 [7826]P148(x78263,x78262,x78261)+~P1(f329(x78263,x78262))+E(f329(f329(f82(a1),f329(f329(f83(a1),x78261),f856(x78261,x78262,x78263))),f855(x78261,x78262,x78263)),x78262)+P1(f329(f329(f240(a1),f2(a1)),x78261))
% 192.24/192.22 [7842]P149(x78423,x78422,x78421)+E(f329(f329(f82(a1),f329(f329(f83(a1),x78421),f852(x78421,x78422,x78423))),f847(x78421,x78422,x78423)),x78422)+~P1(f329(x78423,f2(a1)))+P1(f329(f329(f240(a1),f2(a1)),x78421))
% 192.24/192.22 [7870]~P1(f329(x78701,x78703))+~P1(f329(f62(x78702),x78703))+P1(f329(f329(f331(x78702),f713(x78701,x78703,x78702)),f719(x78701,x78703,x78702)))+P1(f329(x78701,f191(f917(x78702,a904))))
% 192.24/192.22 [7881]P148(x78811,x78812,x78813)+~P1(f329(x78811,x78812))+~P1(f329(x78811,f855(x78813,x78812,x78811)))+P1(f329(f329(f240(a1),f853(x78813,x78812,x78811)),x78813))
% 192.24/192.22 [7887]P149(x78871,x78872,x78873)+~P1(f329(x78871,f852(x78873,x78872,x78871)))+~P1(f329(x78871,f2(a1)))+P1(f329(f329(f240(a1),f848(x78873,x78872,x78871)),x78873))
% 192.24/192.22 [7996]~P72(x79961)+~P1(f329(f329(f240(x79961),f329(f329(f292(x79961),x79963),x79962)),f2(x79961)))+P1(f329(f329(f240(x79961),x79962),f2(x79961)))+P1(f329(f329(f240(x79961),f2(x79961)),x79962))
% 192.24/192.22 [7997]~P72(x79971)+~P1(f329(f329(f240(x79971),f329(f329(f292(x79971),x79972),x79973)),f2(x79971)))+P1(f329(f329(f240(x79971),x79972),f2(x79971)))+P1(f329(f329(f240(x79971),f2(x79971)),x79972))
% 192.24/192.22 [7998]~P128(x79981)+~P1(f329(f329(f239(x79981),f329(f329(f83(x79981),x79983),x79982)),f2(x79981)))+P1(f329(f329(f239(x79981),x79982),f2(x79981)))+P1(f329(f329(f239(x79981),f2(x79981)),x79982))
% 192.24/192.22 [7999]~P128(x79991)+~P1(f329(f329(f239(x79991),f329(f329(f83(x79991),x79992),x79993)),f2(x79991)))+P1(f329(f329(f239(x79991),x79992),f2(x79991)))+P1(f329(f329(f239(x79991),f2(x79991)),x79992))
% 192.24/192.22 [8000]~P72(x80001)+~P1(f329(f329(f239(x80001),f329(f329(f292(x80001),x80003),x80002)),f2(x80001)))+P1(f329(f329(f239(x80001),x80002),f2(x80001)))+P1(f329(f329(f239(x80001),f2(x80001)),x80002))
% 192.24/192.22 [8001]~P72(x80011)+~P1(f329(f329(f239(x80011),f329(f329(f292(x80011),x80012),x80013)),f2(x80011)))+P1(f329(f329(f239(x80011),x80012),f2(x80011)))+P1(f329(f329(f239(x80011),f2(x80011)),x80012))
% 192.24/192.22 [8025]~P72(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))
% 192.24/192.22 [8026]~P128(x80261)+~P1(f329(f329(f239(x80261),f329(f329(f83(x80261),x80262),x80263)),f2(x80261)))+P1(f329(f329(f239(x80261),f2(x80261)),x80262))+P1(f329(f329(f239(x80261),f2(x80261)),x80263))
% 192.24/192.22 [8027]~P72(x80271)+~P1(f329(f329(f239(x80271),f329(f329(f292(x80271),x80272),x80273)),f2(x80271)))+P1(f329(f329(f239(x80271),f2(x80271)),x80272))+P1(f329(f329(f239(x80271),f2(x80271)),x80273))
% 192.24/192.22 [8049]P149(x80492,x80493,x80491)+E(x80491,f2(a1))+P1(f329(f329(f239(a1),f847(x80491,x80493,x80492)),f2(a1)))+P1(f329(f329(f240(a1),f848(x80491,x80493,x80492)),x80491))
% 192.24/192.22 [8050]P148(x80502,x80503,x80501)+E(x80501,f2(a1))+P1(f329(f329(f239(a1),f855(x80501,x80503,x80502)),f2(a1)))+P1(f329(f329(f240(a1),f853(x80501,x80503,x80502)),x80501))
% 192.24/192.22 [8057]~P126(x80571)+~P1(f329(f329(f240(x80571),x80572),f80(x80571)))+P1(f329(f329(f240(x80571),f329(f329(f249(x80571),x80572),f329(a117,x80573))),f80(x80571)))+~P1(f329(f329(f240(x80571),f2(x80571)),x80572))
% 192.24/192.22 [8113]~P112(x81131)+~E(x81133,f118(x81131))+~P19(x81131,f329(f171(x81131),x81133))+E(f329(f145(x81131,x81131,f329(f7(x81131,x81131,x81131),f238(x81131)),x81132),f329(f171(x81131),x81133)),x81132)
% 192.24/192.22 [8116]P148(x81161,x81162,x81163)+~P1(f329(x81161,x81162))+P1(f329(f329(f239(a1),f855(x81163,x81162,x81161)),f2(a1)))+P1(f329(f329(f240(a1),f853(x81163,x81162,x81161)),x81163))
% 192.24/192.22 [8126]P149(x81261,x81262,x81263)+~P1(f329(x81261,f2(a1)))+P1(f329(f329(f239(a1),f847(x81263,x81262,x81261)),f2(a1)))+P1(f329(f329(f240(a1),f848(x81263,x81262,x81261)),x81263))
% 192.24/192.22 [8348]P149(x83483,x83482,x83481)+E(x83481,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83481),f852(x83481,x83482,x83483))),f847(x83481,x83482,x83483)),x83482)+P1(f329(f329(f240(a1),f848(x83481,x83482,x83483)),x83481))
% 192.24/192.22 [8349]P148(x83493,x83492,x83491)+E(x83491,f2(a1))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83491),f856(x83491,x83492,x83493))),f855(x83491,x83492,x83493)),x83492)+P1(f329(f329(f240(a1),f853(x83491,x83492,x83493)),x83491))
% 192.24/192.22 [8384]P148(x83843,x83842,x83841)+~P1(f329(x83843,x83842))+E(f329(f329(f82(a1),f329(f329(f83(a1),x83841),f856(x83841,x83842,x83843))),f855(x83841,x83842,x83843)),x83842)+P1(f329(f329(f240(a1),f853(x83841,x83842,x83843)),x83841))
% 192.24/192.22 [8385]~P77(x83851)+~P80(x83851)+~P48(x83853)+E(f329(f329(f6(a909,x83851),f329(f329(f8(a1,x83851,a909),x83852),f105(a1))),f329(f312(a1,a909,a109),x83853)),f329(f329(f6(a1,x83851),x83852),x83853))
% 192.24/192.22 [8386]~P77(x83861)+~P80(x83861)+~P48(x83863)+E(f329(f329(f9(a909,x83861),f329(f329(f8(a1,x83861,a909),x83862),f105(a1))),f329(f312(a1,a909,a109),x83863)),f329(f329(f9(a1,x83861),x83862),x83863))
% 192.24/192.22 [8395]P149(x83953,x83952,x83951)+E(f329(f329(f82(a1),f329(f329(f83(a1),x83951),f852(x83951,x83952,x83953))),f847(x83951,x83952,x83953)),x83952)+~P1(f329(x83953,f2(a1)))+P1(f329(f329(f240(a1),f848(x83951,x83952,x83953)),x83951))
% 192.24/192.22 [8418]~E(x84182,f2(a909))+~E(f329(f256(a909,a909),x84183),f2(a909))+~E(x84181,f329(f329(f82(a909),f329(f329(f83(a909),f329(f256(a909,a909),x84183)),x84182)),f329(f261(a909,a909),x84183)))+P1(f329(f49(x84181,x84182),x84183))
% 192.24/192.22 [8474]P1(f329(x84741,x84742))+~P1(f329(f329(f331(x84743),f789(x84741,x84742,x84743)),f782(x84741,x84742,x84743)))+~P1(f329(f62(x84743),x84742))+~P1(f329(x84741,f191(f917(x84743,a904))))
% 192.24/192.22 [9097]P1(f329(x90971,x90972))+~P1(f329(f62(x90973),x90972))+~P1(f329(x90971,f329(f329(f311(x90973),f789(x90971,x90972,x90973)),f782(x90971,x90972,x90973))))+~P1(f329(x90971,f191(f917(x90973,a904))))
% 192.24/192.22 [9342]P1(f329(f329(f239(a1),x93421),f2(a1)))+~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x93422),x93421)),x93423)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x93422))+~P1(f329(f329(f239(a1),f2(a1)),x93423))
% 192.24/192.22 [5909]~P2(x59092)+E(x59091,f191(f917(x59092,a904)))+~P1(f329(f62(x59092),x59091))+E(f13(x59092,f329(f329(f311(x59092),x59093),x59091)),f329(f329(f115(x59092),x59093),f13(x59092,x59091)))
% 192.24/192.22 [5910]~P2(x59102)+E(x59101,f191(f917(x59102,a904)))+~P1(f329(f62(x59102),x59101))+E(f10(x59102,f329(f329(f311(x59102),x59103),x59101)),f329(f329(f106(x59102),x59103),f10(x59102,x59101)))
% 192.24/192.22 [5911]~P112(x59112)+E(x59111,f191(f917(x59112,a904)))+~P1(f329(f62(x59112),x59111))+E(f14(x59112,f329(f329(f311(x59112),x59113),x59111)),f329(f329(f237(x59112),x59113),f14(x59112,x59111)))
% 192.24/192.22 [5912]~P112(x59122)+E(x59121,f191(f917(x59122,a904)))+~P1(f329(f62(x59122),x59121))+E(f15(x59122,f329(f329(f311(x59122),x59123),x59121)),f329(f329(f238(x59122),x59123),f15(x59122,x59121)))
% 192.24/192.22 [6232]~P128(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))
% 192.24/192.22 [6299]~P99(x62992)+E(x62991,f191(f917(x62992,a904)))+~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)))
% 192.24/192.22 [6424]~P112(x64242)+E(x64241,f191(f917(x64242,a904)))+~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)))
% 192.24/192.22 [6425]~P112(x64252)+E(x64251,f191(f917(x64252,a904)))+~P1(f329(f62(x64252),x64251))+E(f12(x64252,f237(x64252),f329(f329(f311(x64252),x64253),x64251)),f329(f329(f237(x64252),x64253),f12(x64252,f237(x64252),x64251)))
% 192.24/192.22 [6933]~P75(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))
% 192.24/192.22 [7011]~E(f329(f329(f82(a1),x70112),f329(f329(f83(a1),x70113),x70111)),x70113)+~P1(f329(f329(f240(a1),f2(a1)),x70113))+P1(f329(f329(f239(a1),f80(a1)),x70111))+~P1(f329(f329(f240(a1),x70112),x70113))
% 192.24/192.22 [7041]~E(f329(f329(f82(a1),x70412),f329(f329(f83(a1),x70413),x70411)),x70413)+P1(f329(f329(f239(a1),x70411),f80(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x70413))+~P1(f329(f329(f239(a1),f2(a1)),x70412))
% 192.24/192.22 [7056]E(x70561,f2(a909))+~P1(f329(f49(x70563,x70561),x70562))+~P1(f329(f329(f240(a909),f2(a909)),x70561))+P1(f329(f329(f240(a909),f329(f261(a909,a909),x70562)),x70561))
% 192.24/192.22 [7087]~P141(x70871)+~P1(f329(f329(f239(x70871),x70872),f2(x70871)))+~P1(f329(f329(f239(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)))
% 192.24/192.22 [7133]~P141(x71331)+~P1(f329(f329(f239(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(f239(x71331),f2(x71331)),x71333))
% 192.24/192.22 [7134]~P141(x71341)+~P1(f329(f329(f239(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(f239(x71341),f2(x71341)),x71342))
% 192.24/192.22 [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(f239(x71901),f2(x71901)),x71902))+~P1(f329(f329(f239(x71901),f2(x71901)),x71903))
% 192.24/192.22 [7206]~P128(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)))
% 192.24/192.22 [7207]~P72(x72071)+~P1(f329(f329(f240(x72071),x72073),f2(x72071)))+~P1(f329(f329(f240(x72071),x72072),f2(x72071)))+P1(f329(f329(f240(x72071),f2(x72071)),f329(f329(f292(x72071),x72072),x72073)))
% 192.24/192.22 [7208]~P73(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(f292(x72081),x72082),x72083)))
% 192.24/192.22 [7209]~P128(x72091)+~P1(f329(f329(f239(x72091),x72093),f2(x72091)))+~P1(f329(f329(f239(x72091),x72092),f2(x72091)))+P1(f329(f329(f239(x72091),f2(x72091)),f329(f329(f83(x72091),x72092),x72093)))
% 192.24/192.22 [7211]~P138(x72111)+~P1(f329(f329(f239(x72111),x72113),f2(x72111)))+~P1(f329(f329(f239(x72111),x72112),f2(x72111)))+P1(f329(f329(f239(x72111),f2(x72111)),f329(f329(f83(x72111),x72112),x72113)))
% 192.24/192.22 [7212]~P72(x72121)+~P1(f329(f329(f239(x72121),x72123),f2(x72121)))+~P1(f329(f329(f239(x72121),x72122),f2(x72121)))+P1(f329(f329(f239(x72121),f2(x72121)),f329(f329(f292(x72121),x72122),x72123)))
% 192.24/192.22 [7213]~P73(x72131)+~P1(f329(f329(f240(x72131),x72133),f2(x72131)))+~P1(f329(f329(f239(x72131),x72132),f2(x72131)))+P1(f329(f329(f239(x72131),f2(x72131)),f329(f329(f292(x72131),x72132),x72133)))
% 192.24/192.22 [7214]~P126(x72141)+~P1(f329(f329(f240(a909),f2(a909)),x72143))+~P1(f329(f329(f240(x72141),f80(x72141)),x72142))+P1(f329(f329(f240(x72141),f80(x72141)),f329(f329(f249(x72141),x72142),x72143)))
% 192.24/192.22 [7310]~P91(x73101)+~P1(f329(f329(f240(x73101),f2(x73101)),x73103))+~P1(f329(f329(f240(x73101),f2(x73101)),x73102))+P1(f329(f329(f240(x73101),f2(x73101)),f329(f329(f82(x73101),x73102),x73103)))
% 192.24/192.22 [7313]~P132(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)))
% 192.24/192.22 [7314]~P72(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(f292(x73141),x73142),x73143)))
% 192.24/192.22 [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)))
% 192.24/192.22 [7316]~P126(x73161)+~P1(f329(f329(f240(x73161),f80(x73161)),x73163))+~P1(f329(f329(f240(x73161),f80(x73161)),x73162))+P1(f329(f329(f240(x73161),f80(x73161)),f329(f329(f83(x73161),x73162),x73163)))
% 192.24/192.22 [7318]~P128(x73181)+~P1(f329(f329(f239(x73181),f2(x73181)),x73183))+~P1(f329(f329(f239(x73181),f2(x73181)),x73182))+P1(f329(f329(f239(x73181),f2(x73181)),f329(f329(f83(x73181),x73182),x73183)))
% 192.24/192.22 [7319]~P131(x73191)+~P1(f329(f329(f239(x73191),f2(x73191)),x73193))+~P1(f329(f329(f239(x73191),f2(x73191)),x73192))+P1(f329(f329(f239(x73191),f2(x73191)),f329(f329(f83(x73191),x73192),x73193)))
% 192.24/192.22 [7320]~P138(x73201)+~P1(f329(f329(f239(x73201),f2(x73201)),x73203))+~P1(f329(f329(f239(x73201),f2(x73201)),x73202))+P1(f329(f329(f239(x73201),f2(x73201)),f329(f329(f83(x73201),x73202),x73203)))
% 192.24/192.22 [7321]~P72(x73211)+~P1(f329(f329(f239(x73211),f2(x73211)),x73213))+~P1(f329(f329(f239(x73211),f2(x73211)),x73212))+P1(f329(f329(f239(x73211),f2(x73211)),f329(f329(f292(x73211),x73212),x73213)))
% 192.24/192.22 [7322]~P73(x73221)+~P1(f329(f329(f240(x73221),f2(x73221)),x73223))+~P1(f329(f329(f239(x73221),f2(x73221)),x73222))+P1(f329(f329(f239(x73221),f2(x73221)),f329(f329(f292(x73221),x73222),x73223)))
% 192.24/192.22 [7403]~P2(x74031)+~P1(f329(f62(x74031),x74033))+E(f13(x74031,f329(f329(f311(x74031),x74032),x74033)),x74032)+~E(f329(f329(f23(f917(x74031,a904)),x74033),f329(f329(f311(x74031),x74032),f191(f917(x74031,a904)))),f191(f917(x74031,a904)))
% 192.24/192.22 [7404]~P2(x74041)+~P1(f329(f62(x74041),x74043))+E(f10(x74041,f329(f329(f311(x74041),x74042),x74043)),x74042)+~E(f329(f329(f23(f917(x74041,a904)),x74043),f329(f329(f311(x74041),x74042),f191(f917(x74041,a904)))),f191(f917(x74041,a904)))
% 192.24/192.22 [7405]~P112(x74051)+~P1(f329(f62(x74051),x74053))+E(f14(x74051,f329(f329(f311(x74051),x74052),x74053)),x74052)+~E(f329(f329(f23(f917(x74051,a904)),x74053),f329(f329(f311(x74051),x74052),f191(f917(x74051,a904)))),f191(f917(x74051,a904)))
% 192.24/192.22 [7406]~P112(x74061)+~P1(f329(f62(x74061),x74063))+E(f15(x74061,f329(f329(f311(x74061),x74062),x74063)),x74062)+~E(f329(f329(f23(f917(x74061,a904)),x74063),f329(f329(f311(x74061),x74062),f191(f917(x74061,a904)))),f191(f917(x74061,a904)))
% 192.24/192.22 [7408]~P72(x74081)+P1(f329(f329(f240(x74081),x74082),f2(x74081)))+P1(f329(f329(f240(x74081),f2(x74081)),x74083))+~P1(f329(f329(f240(x74081),f2(x74081)),f329(f329(f292(x74081),x74083),x74082)))
% 192.24/192.22 [7409]~P72(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(f292(x74091),x74092),x74093)))
% 192.24/192.22 [7410]~P72(x74101)+P1(f329(f329(f240(x74101),x74102),f2(x74101)))+P1(f329(f329(f240(x74101),f2(x74101)),x74102))+~P1(f329(f329(f240(x74101),f2(x74101)),f329(f329(f292(x74101),x74103),x74102)))
% 192.24/192.22 [7411]~P72(x74111)+P1(f329(f329(f240(x74111),x74112),f2(x74111)))+P1(f329(f329(f240(x74111),f2(x74111)),x74112))+~P1(f329(f329(f240(x74111),f2(x74111)),f329(f329(f292(x74111),x74112),x74113)))
% 192.24/192.22 [7412]~P128(x74121)+P1(f329(f329(f239(x74121),x74122),f2(x74121)))+P1(f329(f329(f239(x74121),f2(x74121)),x74123))+~P1(f329(f329(f239(x74121),f2(x74121)),f329(f329(f83(x74121),x74123),x74122)))
% 192.24/192.22 [7413]~P128(x74131)+P1(f329(f329(f239(x74131),x74132),f2(x74131)))+P1(f329(f329(f239(x74131),f2(x74131)),x74133))+~P1(f329(f329(f239(x74131),f2(x74131)),f329(f329(f83(x74131),x74132),x74133)))
% 192.24/192.22 [7414]~P72(x74141)+P1(f329(f329(f239(x74141),x74142),f2(x74141)))+P1(f329(f329(f239(x74141),f2(x74141)),x74143))+~P1(f329(f329(f239(x74141),f2(x74141)),f329(f329(f292(x74141),x74143),x74142)))
% 192.24/192.22 [7415]~P72(x74151)+P1(f329(f329(f239(x74151),x74152),f2(x74151)))+P1(f329(f329(f239(x74151),f2(x74151)),x74153))+~P1(f329(f329(f239(x74151),f2(x74151)),f329(f329(f292(x74151),x74152),x74153)))
% 192.24/192.22 [7416]~P128(x74161)+P1(f329(f329(f239(x74161),x74162),f2(x74161)))+P1(f329(f329(f239(x74161),f2(x74161)),x74162))+~P1(f329(f329(f239(x74161),f2(x74161)),f329(f329(f83(x74161),x74163),x74162)))
% 192.24/192.22 [7417]~P128(x74171)+P1(f329(f329(f239(x74171),x74172),f2(x74171)))+P1(f329(f329(f239(x74171),f2(x74171)),x74172))+~P1(f329(f329(f239(x74171),f2(x74171)),f329(f329(f83(x74171),x74172),x74173)))
% 192.24/192.22 [7418]~P72(x74181)+P1(f329(f329(f239(x74181),x74182),f2(x74181)))+P1(f329(f329(f239(x74181),f2(x74181)),x74182))+~P1(f329(f329(f239(x74181),f2(x74181)),f329(f329(f292(x74181),x74183),x74182)))
% 192.24/192.22 [7419]~P72(x74191)+P1(f329(f329(f239(x74191),x74192),f2(x74191)))+P1(f329(f329(f239(x74191),f2(x74191)),x74192))+~P1(f329(f329(f239(x74191),f2(x74191)),f329(f329(f292(x74191),x74192),x74193)))
% 192.24/192.22 [7510]~E(f329(f329(f106(f917(x75101,a904)),f329(f175(x75101),x75102)),f329(f175(x75101),x75103)),f191(f917(x75101,a904)))+~P1(f329(f140(x75101),x75103))+~P1(f329(f140(x75101),x75102))+P1(f329(f140(x75101),f329(f329(f137(x75101),x75102),x75103)))
% 192.24/192.22 [7511]~P112(x75111)+~P1(f329(f62(x75111),x75113))+E(f11(x75111,f238(x75111),f329(f329(f311(x75111),x75112),x75113)),x75112)+~E(f329(f329(f23(f917(x75111,a904)),x75113),f329(f329(f311(x75111),x75112),f191(f917(x75111,a904)))),f191(f917(x75111,a904)))
% 192.24/192.22 [7512]~P112(x75121)+~P1(f329(f62(x75121),x75123))+E(f12(x75121,f237(x75121),f329(f329(f311(x75121),x75122),x75123)),x75122)+~E(f329(f329(f23(f917(x75121,a904)),x75123),f329(f329(f311(x75121),x75122),f191(f917(x75121,a904)))),f191(f917(x75121,a904)))
% 192.24/192.22 [7528]~P120(x75281)+~P1(f329(f329(f240(x75281),x75282),x75283))+~P1(f329(f329(f240(x75281),f329(f81(x75281),x75282)),x75283))+P1(f329(f329(f240(x75281),f329(f77(x75281),x75282)),x75283))
% 192.24/192.22 [7530]~P89(x75301)+~P1(f329(f329(f239(x75301),x75302),x75303))+~P1(f329(f329(f239(x75301),f329(f81(x75301),x75302)),x75303))+P1(f329(f329(f239(x75301),f329(f77(x75301),x75302)),x75303))
% 192.24/192.22 [7602]~P132(x76021)+P1(f329(f329(f240(x76021),f2(x76021)),x76022))+~P1(f329(f329(f240(x76021),f2(x76021)),x76023))+~P1(f329(f329(f240(x76021),f2(x76021)),f329(f329(f83(x76021),x76023),x76022)))
% 192.24/192.22 [7603]~P132(x76031)+P1(f329(f329(f240(x76031),f2(x76031)),x76032))+~P1(f329(f329(f240(x76031),f2(x76031)),x76033))+~P1(f329(f329(f240(x76031),f2(x76031)),f329(f329(f83(x76031),x76032),x76033)))
% 192.24/192.22 [7903]E(x79031,x79032)+~P1(f329(f62(x79033),x79031))+~P1(f329(f329(f239(a909),f329(f36(x79033),x79031)),f329(f36(x79033),x79032)))+~P1(f329(f329(f239(f917(x79033,a904)),x79032),x79031))
% 192.24/192.22 [8054]~P1(f329(f329(f240(a1),x80541),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x80542))+~P1(f329(f329(f239(a1),x80542),x80543))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x80541),x80542)),f329(f329(f37(a1),x80541),x80543)))
% 192.24/192.22 [8065]~P1(f329(f329(f240(a1),f2(a1)),x80653))+~P1(f329(f329(f239(a1),f2(a1)),x80651))+~P1(f329(f329(f239(a1),x80653),x80652))+P1(f329(f329(f239(a1),f329(f329(f37(a1),x80651),x80652)),f329(f329(f37(a1),x80651),x80653)))
% 192.24/192.22 [8209]E(f329(x82091,f421(x82092,x82091,x82093)),x82092)+~P1(f329(f329(f239(a1),x82092),f329(x82091,x82093)))+P1(f329(f329(f240(a909),f422(x82092,x82091,x82093)),x82093))+~P1(f329(f329(f239(a1),f329(x82091,f2(a909))),x82092))
% 192.24/192.22 [8210]E(f329(x82101,f423(x82102,x82101,x82103)),x82102)+~P1(f329(f329(f239(a1),x82102),f329(x82101,x82103)))+P1(f329(f329(f240(a909),f424(x82102,x82101,x82103)),x82103))+~P1(f329(f329(f239(a1),f329(x82101,f2(a909))),x82102))
% 192.24/192.22 [8310]~P1(f329(f62(x83101),x83103))+~P1(f329(f329(f240(a909),f329(f36(x83101),x83102)),f329(f36(x83101),x83103)))+~P1(f329(f329(f239(f917(x83101,a904)),x83102),x83103))+P1(f329(f329(f240(f917(x83101,a904)),x83102),x83103))
% 192.24/192.22 [8337]E(f329(f329(f23(a1),f371(x83373,x83371,x83372)),f372(x83373,x83371,x83372)),x83371)+E(f329(f329(f82(a1),x83371),x83372),x83371)+~P1(f329(f329(f240(a1),f2(a1)),x83372))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x83371),f80(a1))),x83373))
% 192.24/192.22 [8338]E(f329(f329(f82(a1),f373(x83383,x83381,x83382)),f374(x83383,x83381,x83382)),x83381)+E(f329(f329(f23(a1),x83381),x83382),x83381)+~P1(f329(f329(f240(a1),f2(a1)),x83382))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x83381),f80(a1))),x83383))
% 192.24/192.22 [8390]~P1(f329(f329(f239(a909),x83903),x83901))+P1(f329(f329(f240(a909),x83901),x83902))+~P1(f329(f329(f239(a909),x83903),x83902))+~P1(f329(f329(f240(a909),f329(f329(f23(a909),x83901),x83903)),f329(f329(f23(a909),x83902),x83903)))
% 192.24/192.22 [8391]~P1(f329(f329(f239(a909),x83913),x83911))+P1(f329(f329(f239(a909),x83911),x83912))+~P1(f329(f329(f239(a909),x83913),x83912))+~P1(f329(f329(f239(a909),f329(f329(f23(a909),x83911),x83913)),f329(f329(f23(a909),x83912),x83913)))
% 192.24/192.22 [8410]~P112(x84102)+E(x84101,f118(x84102))+~P19(x84102,f329(f171(x84102),x84101))+E(f329(f145(x84102,x84102,f329(f7(x84102,x84102,x84102),f238(x84102)),x84103),f329(f171(x84102),x84101)),f329(f329(f238(x84102),f329(f329(f167(x84102),x84101),f2(a909))),x84103))
% 192.24/192.22 [8458]~P11(x84581)+~P47(x84581,x84581,x84583)+P1(f329(f329(f239(x84581),x84582),f101(x84581,x84583)))+~P1(f329(f329(f239(x84581),x84582),f329(x84583,f329(f329(f115(x84581),x84582),f101(x84581,x84583)))))
% 192.24/192.22 [8479]E(f329(f329(f82(a1),x84791),x84792),x84791)+~P1(f329(f329(f240(a1),f2(a1)),x84792))+P1(f329(f329(f331(a1),f371(x84793,x84791,x84792)),x84793))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x84791),f80(a1))),x84793))
% 192.24/192.22 [8480]E(f329(f329(f23(a1),x84801),x84802),x84801)+~P1(f329(f329(f240(a1),f2(a1)),x84802))+P1(f329(f329(f331(a1),f373(x84803,x84801,x84802)),x84803))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x84801),f80(a1))),x84803))
% 192.24/192.22 [8554]~P1(f329(f329(f239(a1),x85541),f329(x85542,x85543)))+P1(f329(f329(f239(a909),f421(x85541,x85542,x85543)),x85543))+P1(f329(f329(f240(a909),f422(x85541,x85542,x85543)),x85543))+~P1(f329(f329(f239(a1),f329(x85542,f2(a909))),x85541))
% 192.24/192.22 [8555]~P1(f329(f329(f239(a1),x85551),f329(x85552,x85553)))+P1(f329(f329(f239(a909),f423(x85551,x85552,x85553)),x85553))+P1(f329(f329(f240(a909),f424(x85551,x85552,x85553)),x85553))+~P1(f329(f329(f239(a1),f329(x85552,f2(a909))),x85551))
% 192.24/192.22 [8638]E(f329(f329(f82(a1),x86381),x86382),x86381)+~P1(f329(f329(f240(a1),f2(a1)),x86382))+P1(f329(f329(f331(a1),f372(x86383,x86381,x86382)),f305(a1,f80(a1),x86382)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x86381),f80(a1))),x86383))
% 192.24/192.22 [8639]E(f329(f329(f23(a1),x86391),x86392),x86391)+~P1(f329(f329(f240(a1),f2(a1)),x86392))+P1(f329(f329(f331(a1),f374(x86393,x86391,x86392)),f305(a1,f80(a1),x86392)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x86391),f80(a1))),x86393))
% 192.24/192.22 [8769]~P126(x87691)+~P1(f329(f329(f240(x87691),x87692),f80(x87691)))+~P1(f329(f329(f240(x87691),f2(x87691)),x87692))+P1(f329(f329(f240(x87691),f329(f329(f83(x87691),x87692),f329(f329(f249(x87691),x87692),x87693))),f329(f329(f249(x87691),x87692),x87693)))
% 192.24/192.22 [8853]~P1(f329(x88531,x88532))+P1(f329(x88531,f2(a909)))+~P1(f329(f329(f240(a909),x88532),x88533))+~P1(f329(x88531,f46(a909,f329(a117,f474(x88532,x88531,x88533)),x88533)))
% 192.24/192.22 [8999]E(f499(x89991,x89992,x89993),f2(a909))+P1(f329(f329(x89991,x89993),x89992))+P1(f329(f329(x89991,f499(x89991,x89992,x89993)),f46(a909,f498(x89991,x89992,x89993),f499(x89991,x89992,x89993))))+~P1(f329(f317(f916(a909,a909),a223),f329(f329(f257(a909,a909),x89993),x89992)))
% 192.24/192.22 [9038]~P31(x90381,x90381,x90382,x90383)+E(f329(f312(x90381,x90381,x90382),x90383),x90383)+~P1(f329(f62(x90381),x90383))+~P1(f329(f329(f239(f917(x90381,a904)),f329(f312(x90381,x90381,x90382),x90383)),x90383))
% 192.24/192.22 [9110]~P11(x91101)+~P47(x91101,x91101,x91103)+P1(f329(f329(f239(x91101),f329(f329(f115(x91101),x91102),f101(x91101,x91103))),f329(x91103,f329(f329(f115(x91101),x91102),f101(x91101,x91103)))))+~P1(f329(f329(f239(x91101),x91102),f329(x91103,f329(f329(f115(x91101),x91102),f101(x91101,x91103)))))
% 192.24/192.22 [9264]P1(f329(f329(x92641,x92642),x92643))+P1(f329(f329(f240(a1),f798(x92641,x92643,x92642)),f799(x92641,x92643,x92642)))+P1(f329(f329(x92641,f798(x92641,x92643,x92642)),f329(f329(f82(a1),f799(x92641,x92643,x92642)),f80(a1))))+~P1(f329(f317(f916(a1,a1),a136),f329(f329(f257(a1,a1),x92642),x92643)))
% 192.24/192.22 [9283]P1(f329(f329(x92831,x92832),x92833))+~P1(f329(f329(f240(a1),f495(x92831,x92833,x92832)),f2(a1)))+P1(f329(f329(x92831,f329(f81(a1),f494(x92831,x92833,x92832))),f329(f81(a1),f495(x92831,x92833,x92832))))+~P1(f329(f317(f916(a1,a1),a225),f329(f329(f257(a1,a1),x92832),x92833)))
% 192.24/192.22 [9468]P1(f329(f329(x94681,x94682),x94683))+P1(f329(f329(x94681,f329(f329(f82(a1),f696(x94681,x94683,x94682)),f80(a1))),f698(x94681,x94683,x94682)))+~P1(f329(f329(f239(a1),f696(x94681,x94683,x94682)),f698(x94681,x94683,x94682)))+~P1(f329(f317(f916(a1,a1),a185),f329(f329(f257(a1,a1),x94682),x94683)))
% 192.24/192.22 [9902]~P69(x99022)+~P69(x99021)+~P1(f329(f57(f916(x99021,x99022)),x99023))+P1(f329(f57(x99021),f329(f329(f8(f917(x99022,a904),a904,x99021),f57(x99022)),f329(f329(f8(f917(x99022,f916(x99021,x99022)),f917(x99022,a904),x99021),f329(f8(f916(x99021,x99022),a904,x99022),x99023)),f257(x99021,x99022)))))
% 192.24/192.22 [9903]~P69(x99032)+~P69(x99031)+~P1(f329(f58(f916(x99031,x99032)),x99033))+P1(f329(f58(x99031),f329(f329(f8(f917(x99032,a904),a904,x99031),f58(x99032)),f329(f329(f8(f917(x99032,f916(x99031,x99032)),f917(x99032,a904),x99031),f329(f8(f916(x99031,x99032),a904,x99032),x99033)),f257(x99031,x99032)))))
% 192.24/192.22 [9996]~P69(x99962)+~P69(x99961)+P1(f329(f57(f916(x99961,x99962)),x99963))+~P1(f329(f57(x99961),f329(f329(f8(f917(x99962,a904),a904,x99961),f57(x99962)),f329(f329(f8(f917(x99962,f916(x99961,x99962)),f917(x99962,a904),x99961),f329(f8(f916(x99961,x99962),a904,x99962),x99963)),f257(x99961,x99962)))))
% 192.24/192.22 [9997]~P69(x99972)+~P69(x99971)+P1(f329(f58(f916(x99971,x99972)),x99973))+~P1(f329(f58(x99971),f329(f329(f8(f917(x99972,a904),a904,x99971),f58(x99972)),f329(f329(f8(f917(x99972,f916(x99971,x99972)),f917(x99972,a904),x99971),f329(f8(f916(x99971,x99972),a904,x99972),x99973)),f257(x99971,x99972)))))
% 192.24/192.22 [10155]E(f329(x101551,f421(x101552,x101551,x101553)),x101552)+~P1(f329(f329(f239(a1),x101552),f329(x101551,x101553)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101551,f329(f329(f82(a909),f422(x101552,x101551,x101553)),f80(a909)))),f329(x101551,f422(x101552,x101551,x101553))))),f80(a1)))+~P1(f329(f329(f239(a1),f329(x101551,f2(a909))),x101552))
% 192.24/192.22 [10156]E(f329(x101561,f423(x101562,x101561,x101563)),x101562)+~P1(f329(f329(f239(a1),x101562),f329(x101561,x101563)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101561,f329(f329(f82(a909),f424(x101562,x101561,x101563)),f80(a909)))),f329(x101561,f424(x101562,x101561,x101563))))),f80(a1)))+~P1(f329(f329(f239(a1),f329(x101561,f2(a909))),x101562))
% 192.24/192.22 [10159]~P1(f329(f329(f239(a1),x101591),f329(x101592,x101593)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101592,f329(f329(f82(a909),f422(x101591,x101592,x101593)),f80(a909)))),f329(x101592,f422(x101591,x101592,x101593))))),f80(a1)))+P1(f329(f329(f239(a909),f421(x101591,x101592,x101593)),x101593))+~P1(f329(f329(f239(a1),f329(x101592,f2(a909))),x101591))
% 192.24/192.22 [10160]~P1(f329(f329(f239(a1),x101601),f329(x101602,x101603)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x101602,f329(f329(f82(a909),f424(x101601,x101602,x101603)),f80(a909)))),f329(x101602,f424(x101601,x101602,x101603))))),f80(a1)))+P1(f329(f329(f239(a909),f423(x101601,x101602,x101603)),x101603))+~P1(f329(f329(f239(a1),f329(x101602,f2(a909))),x101601))
% 192.24/192.22 [10220]E(x102201,x102202)+~E(f329(f145(f910(x102203),f910(x102203),f137(x102203),f118(x102203)),x102201),f329(f145(f910(x102203),f910(x102203),f137(x102203),f118(x102203)),x102202))+~E(f329(f192(f910(f910(x102203))),x102201),f329(f192(f910(f910(x102203))),x102202))+~P1(f329(f329(f262(f910(x102203),f910(x102203),a904),f329(f329(f7(f910(x102203),f917(f910(x102203),a909),f917(f910(x102203),a904)),f329(f329(f8(f917(a909,a904),f917(f917(f910(x102203),a909),f917(f910(x102203),a904)),f910(x102203)),f8(a909,a904,f910(x102203))),f329(f329(f8(a909,f917(a909,a904),f910(x102203)),a326),f192(f910(x102203))))),f192(f910(x102203)))),f726(x102201,x102202,x102203)))
% 192.24/192.22 [10221]E(x102211,x102212)+~E(f329(f145(f910(x102213),f910(x102213),f137(x102213),f118(x102213)),x102211),f329(f145(f910(x102213),f910(x102213),f137(x102213),f118(x102213)),x102212))+~E(f329(f192(f910(f910(x102213))),x102211),f329(f192(f910(f910(x102213))),x102212))+~P1(f329(f329(f262(f910(x102213),f910(x102213),a904),f329(f329(f7(f910(x102213),f917(f910(x102213),a909),f917(f910(x102213),a904)),f329(f329(f8(f917(a909,a904),f917(f917(f910(x102213),a909),f917(f910(x102213),a904)),f910(x102213)),f8(a909,a904,f910(x102213))),f329(f329(f8(a909,f917(a909,a904),f910(x102213)),a326),f192(f910(x102213))))),f192(f910(x102213)))),f727(x102212,x102211,x102213)))
% 192.24/192.22 [6921]~E(f80(a909),f2(a909))+~P1(f329(f62(x69211),x69213))+~P1(f329(f62(x69211),x69212))+E(f329(f329(f82(a909),f329(f36(x69211),x69212)),f329(f36(x69211),x69213)),f329(f36(x69211),f329(f329(f115(f917(x69211,a904)),x69212),x69213)))
% 192.24/192.22 [7329]~P104(x73291)+~P1(f329(f62(x73291),x73292))+~P1(f329(f329(f331(x73291),x73293),x73292))+P1(f329(f329(f239(x73291),f329(f64(x73291,f106(x73291)),x73292)),x73293))
% 192.24/192.22 [7330]~P112(x73301)+~P1(f329(f62(x73301),x73302))+~P1(f329(f329(f331(x73301),x73303),x73302))+P1(f329(f329(f239(x73301),f329(f64(x73301,f237(x73301)),x73302)),x73303))
% 192.24/192.22 [7596]~P1(f329(f62(x75961),x75963))+~P1(f329(f62(x75961),x75962))+~E(f329(f329(f106(f917(x75961,a904)),x75962),x75963),f191(f917(x75961,a904)))+E(f329(f329(f82(a909),f329(f36(x75961),x75962)),f329(f36(x75961),x75963)),f329(f36(x75961),f329(f329(f115(f917(x75961,a904)),x75962),x75963)))
% 192.24/192.22 [8396]~P44(x83961,x83963)+~P44(x83961,x83962)+~E(f329(f329(f106(f917(x83961,a904)),f329(f269(x83961,x83961),x83962)),f329(f287(x83961,x83961),x83963)),f191(f917(x83961,a904)))+P44(x83961,f329(f329(f115(f917(f916(x83961,x83961),a904)),x83962),x83963))
% 192.24/192.22 [8491]E(x84911,f329(f329(f37(a909),x84912),x84913))+~P1(f329(f329(f240(a909),f2(a909)),x84913))+~P1(f329(f329(f240(a909),x84912),f329(f329(f83(a909),x84913),f329(a117,x84911))))+~P1(f329(f329(f239(a909),f329(f329(f83(a909),x84913),x84911)),x84912))
% 192.24/192.22 [8636]~P1(f329(f62(x86361),x86362))+~P1(f329(f62(x86361),x86363))+E(f329(f329(f82(a909),f329(f36(x86361),x86362)),f329(f36(x86361),x86363)),f329(f36(x86361),f329(f329(f115(f917(x86361,a904)),x86362),x86363)))+P1(f329(f329(f331(x86361),f857(x86363,x86362,x86361)),f329(f329(f106(f917(x86361,a904)),x86362),x86363)))
% 192.24/192.22 [9011]~P128(x90112)+~E(x90111,f2(x90112))+~E(x90113,f2(x90112))+~P1(f329(f329(f240(x90112),f2(x90112)),f329(f329(f82(x90112),f329(f329(f83(x90112),x90113),x90113)),f329(f329(f83(x90112),x90111),x90111))))
% 192.24/192.22 [9546]~P44(x95461,x95463)+~P44(x95461,x95462)+P44(x95461,f329(f329(f115(f917(f916(x95461,x95461),a904)),x95462),x95463))+~P1(f329(f329(f239(f917(f916(x95461,x95461),a904)),f329(f329(f291(x95461,x95461,x95461),x95462),x95463)),x95462))
% 192.24/192.22 [9676]~P1(f329(x96761,x96763))+~P1(f329(f62(x96762),x96763))+P1(f329(x96761,f191(f917(x96762,a904))))+~P1(f329(x96761,f329(f329(f23(f917(x96762,a904)),f719(x96761,x96763,x96762)),f329(f329(f311(x96762),f713(x96761,x96763,x96762)),f191(f917(x96762,a904))))))
% 192.24/192.22 [8804]~P1(f329(f329(f240(a1),f2(a1)),x88043))+P1(f329(f329(f239(a1),f2(a1)),x88041))+~P1(f329(f329(f240(a1),x88042),x88043))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x88043),x88041)),x88042)))
% 192.24/192.22 [8827]~P2(x88271)+~P1(f329(f62(x88271),x88272))+E(f329(f329(f23(f917(x88271,a904)),x88272),f329(f329(f311(x88271),x88273),f191(f917(x88271,a904)))),f191(f917(x88271,a904)))+E(f329(f329(f115(x88271),x88273),f13(x88271,f329(f329(f23(f917(x88271,a904)),x88272),f329(f329(f311(x88271),x88273),f191(f917(x88271,a904)))))),f13(x88271,f329(f329(f311(x88271),x88273),x88272)))
% 192.24/192.22 [8828]~P2(x88281)+~P1(f329(f62(x88281),x88282))+E(f329(f329(f23(f917(x88281,a904)),x88282),f329(f329(f311(x88281),x88283),f191(f917(x88281,a904)))),f191(f917(x88281,a904)))+E(f329(f329(f106(x88281),x88283),f10(x88281,f329(f329(f23(f917(x88281,a904)),x88282),f329(f329(f311(x88281),x88283),f191(f917(x88281,a904)))))),f10(x88281,f329(f329(f311(x88281),x88283),x88282)))
% 192.24/192.22 [8829]~P112(x88291)+~P1(f329(f62(x88291),x88292))+E(f329(f329(f23(f917(x88291,a904)),x88292),f329(f329(f311(x88291),x88293),f191(f917(x88291,a904)))),f191(f917(x88291,a904)))+E(f329(f329(f237(x88291),x88293),f14(x88291,f329(f329(f23(f917(x88291,a904)),x88292),f329(f329(f311(x88291),x88293),f191(f917(x88291,a904)))))),f14(x88291,f329(f329(f311(x88291),x88293),x88292)))
% 192.24/192.22 [8830]~P112(x88301)+~P1(f329(f62(x88301),x88302))+E(f329(f329(f23(f917(x88301,a904)),x88302),f329(f329(f311(x88301),x88303),f191(f917(x88301,a904)))),f191(f917(x88301,a904)))+E(f329(f329(f238(x88301),x88303),f15(x88301,f329(f329(f23(f917(x88301,a904)),x88302),f329(f329(f311(x88301),x88303),f191(f917(x88301,a904)))))),f15(x88301,f329(f329(f311(x88301),x88303),x88302)))
% 192.24/192.22 [8896]~P112(x88961)+~P1(f329(f62(x88961),x88962))+E(f329(f329(f23(f917(x88961,a904)),x88962),f329(f329(f311(x88961),x88963),f191(f917(x88961,a904)))),f191(f917(x88961,a904)))+E(f329(f329(f238(x88961),x88963),f11(x88961,f238(x88961),f329(f329(f23(f917(x88961,a904)),x88962),f329(f329(f311(x88961),x88963),f191(f917(x88961,a904)))))),f11(x88961,f238(x88961),f329(f329(f311(x88961),x88963),x88962)))
% 192.24/192.22 [8897]~P112(x88971)+~P1(f329(f62(x88971),x88972))+E(f329(f329(f23(f917(x88971,a904)),x88972),f329(f329(f311(x88971),x88973),f191(f917(x88971,a904)))),f191(f917(x88971,a904)))+E(f329(f329(f237(x88971),x88973),f12(x88971,f237(x88971),f329(f329(f23(f917(x88971,a904)),x88972),f329(f329(f311(x88971),x88973),f191(f917(x88971,a904)))))),f12(x88971,f237(x88971),f329(f329(f311(x88971),x88973),x88972)))
% 192.24/192.22 [9287]~P11(x92871)+~P47(x92871,x92871,x92872)+P1(f329(f329(f239(x92871),f100(x92871,x92872)),x92873))+~P1(f329(f329(f239(x92871),f329(x92872,f329(f329(f106(x92871),f100(x92871,x92872)),x92873))),x92873))
% 192.24/192.22 [9487]E(x94871,x94872)+~E(f329(f145(f910(x94873),f910(x94873),f137(x94873),f118(x94873)),x94871),f329(f145(f910(x94873),f910(x94873),f137(x94873),f118(x94873)),x94872))+~E(f329(f192(f910(f910(x94873))),x94871),f329(f192(f910(f910(x94873))),x94872))+P1(f329(f329(f331(f916(f910(x94873),f910(x94873))),f726(x94871,x94872,x94873)),f329(f175(f916(f910(x94873),f910(x94873))),f329(f329(f184(f910(x94873),f910(x94873)),x94872),x94871))))
% 192.24/192.22 [9488]E(x94881,x94882)+~E(f329(f145(f910(x94883),f910(x94883),f137(x94883),f118(x94883)),x94881),f329(f145(f910(x94883),f910(x94883),f137(x94883),f118(x94883)),x94882))+~E(f329(f192(f910(f910(x94883))),x94881),f329(f192(f910(f910(x94883))),x94882))+P1(f329(f329(f331(f916(f910(x94883),f910(x94883))),f727(x94882,x94881,x94883)),f329(f175(f916(f910(x94883),f910(x94883))),f329(f329(f184(f910(x94883),f910(x94883)),x94881),x94882))))
% 192.24/192.22 [10323]~P101(x103232)+E(x103231,f191(f917(x103232,a904)))+~P1(f329(f62(x103232),x103231))+E(f10(x103232,f329(f267(x103232),f329(f329(f8(f917(x103232,a904),a904,x103232),f89(x103232)),f329(f329(f7(x103232,f917(x103232,a904),f917(x103232,a904)),f329(f329(f8(f917(x103232,f917(a904,a904)),f917(f917(x103232,a904),f917(x103232,a904)),x103232),f18(x103232,a904,a904)),f329(f329(f8(f917(x103232,a904),f917(x103232,f917(a904,a904)),x103232),f329(f8(a904,f917(a904,a904),x103232),a327)),f329(f329(f7(x103232,f917(x103232,x103232),f917(x103232,a904)),f329(f329(f8(f917(x103232,a904),f917(f917(x103232,x103232),f917(x103232,a904)),x103232),f8(x103232,a904,x103232)),a326)),f329(f115(x103232),x103233))))),f329(f329(f7(x103232,f917(x103232,a904),a904),f331(x103232)),x103231))))),f329(f329(f115(x103232),x103233),f10(x103232,x103231)))
% 192.24/192.22 [10324]~P82(x103242)+E(x103241,f191(f917(x103242,a904)))+~P1(f329(f62(x103242),x103241))+E(f14(x103242,f329(f267(x103242),f329(f329(f8(f917(x103242,a904),a904,x103242),f89(x103242)),f329(f329(f7(x103242,f917(x103242,a904),f917(x103242,a904)),f329(f329(f8(f917(x103242,f917(a904,a904)),f917(f917(x103242,a904),f917(x103242,a904)),x103242),f18(x103242,a904,a904)),f329(f329(f8(f917(x103242,a904),f917(x103242,f917(a904,a904)),x103242),f329(f8(a904,f917(a904,a904),x103242),a327)),f329(f329(f7(x103242,f917(x103242,x103242),f917(x103242,a904)),f329(f329(f8(f917(x103242,a904),f917(f917(x103242,x103242),f917(x103242,a904)),x103242),f8(x103242,a904,x103242)),a326)),f329(f82(x103242),x103243))))),f329(f329(f7(x103242,f917(x103242,a904),a904),f331(x103242)),x103241))))),f329(f329(f82(x103242),x103243),f14(x103242,x103241)))
% 192.24/192.22 [10325]~P82(x103252)+E(x103251,f191(f917(x103252,a904)))+~P1(f329(f62(x103252),x103251))+E(f15(x103252,f329(f267(x103252),f329(f329(f8(f917(x103252,a904),a904,x103252),f89(x103252)),f329(f329(f7(x103252,f917(x103252,a904),f917(x103252,a904)),f329(f329(f8(f917(x103252,f917(a904,a904)),f917(f917(x103252,a904),f917(x103252,a904)),x103252),f18(x103252,a904,a904)),f329(f329(f8(f917(x103252,a904),f917(x103252,f917(a904,a904)),x103252),f329(f8(a904,f917(a904,a904),x103252),a327)),f329(f329(f7(x103252,f917(x103252,x103252),f917(x103252,a904)),f329(f329(f8(f917(x103252,a904),f917(f917(x103252,x103252),f917(x103252,a904)),x103252),f8(x103252,a904,x103252)),a326)),f329(f82(x103252),x103253))))),f329(f329(f7(x103252,f917(x103252,a904),a904),f331(x103252)),x103251))))),f329(f329(f82(x103252),x103253),f15(x103252,x103251)))
% 192.24/192.22 [10326]~P101(x103262)+E(x103261,f191(f917(x103262,a904)))+~P1(f329(f62(x103262),x103261))+E(f13(x103262,f329(f267(x103262),f329(f329(f8(f917(x103262,a904),a904,x103262),f89(x103262)),f329(f329(f7(x103262,f917(x103262,a904),f917(x103262,a904)),f329(f329(f8(f917(x103262,f917(a904,a904)),f917(f917(x103262,a904),f917(x103262,a904)),x103262),f18(x103262,a904,a904)),f329(f329(f8(f917(x103262,a904),f917(x103262,f917(a904,a904)),x103262),f329(f8(a904,f917(a904,a904),x103262),a327)),f329(f329(f7(x103262,f917(x103262,x103262),f917(x103262,a904)),f329(f329(f8(f917(x103262,a904),f917(f917(x103262,x103262),f917(x103262,a904)),x103262),f8(x103262,a904,x103262)),a326)),f329(f106(x103262),x103263))))),f329(f329(f7(x103262,f917(x103262,a904),a904),f331(x103262)),x103261))))),f329(f329(f106(x103262),x103263),f13(x103262,x103261)))
% 192.24/192.22 [10327]~P112(x103272)+E(x103271,f191(f917(x103272,a904)))+~P1(f329(f62(x103272),x103271))+E(f11(x103272,f238(x103272),f329(f267(x103272),f329(f329(f8(f917(x103272,a904),a904,x103272),f89(x103272)),f329(f329(f7(x103272,f917(x103272,a904),f917(x103272,a904)),f329(f329(f8(f917(x103272,f917(a904,a904)),f917(f917(x103272,a904),f917(x103272,a904)),x103272),f18(x103272,a904,a904)),f329(f329(f8(f917(x103272,a904),f917(x103272,f917(a904,a904)),x103272),f329(f8(a904,f917(a904,a904),x103272),a327)),f329(f329(f7(x103272,f917(x103272,x103272),f917(x103272,a904)),f329(f329(f8(f917(x103272,a904),f917(f917(x103272,x103272),f917(x103272,a904)),x103272),f8(x103272,a904,x103272)),a326)),f329(f237(x103272),x103273))))),f329(f329(f7(x103272,f917(x103272,a904),a904),f331(x103272)),x103271))))),f329(f329(f237(x103272),x103273),f11(x103272,f238(x103272),x103271)))
% 192.24/192.22 [10328]~P112(x103282)+E(x103281,f191(f917(x103282,a904)))+~P1(f329(f62(x103282),x103281))+E(f12(x103282,f237(x103282),f329(f267(x103282),f329(f329(f8(f917(x103282,a904),a904,x103282),f89(x103282)),f329(f329(f7(x103282,f917(x103282,a904),f917(x103282,a904)),f329(f329(f8(f917(x103282,f917(a904,a904)),f917(f917(x103282,a904),f917(x103282,a904)),x103282),f18(x103282,a904,a904)),f329(f329(f8(f917(x103282,a904),f917(x103282,f917(a904,a904)),x103282),f329(f8(a904,f917(a904,a904),x103282),a327)),f329(f329(f7(x103282,f917(x103282,x103282),f917(x103282,a904)),f329(f329(f8(f917(x103282,a904),f917(f917(x103282,x103282),f917(x103282,a904)),x103282),f8(x103282,a904,x103282)),a326)),f329(f238(x103282),x103283))))),f329(f329(f7(x103282,f917(x103282,a904),a904),f331(x103282)),x103281))))),f329(f329(f238(x103282),x103283),f12(x103282,f237(x103282),x103281)))
% 192.24/192.22 [10062]~P120(x100621)+~E(x100623,f2(x100621))+~E(x100622,f2(x100621))+E(f329(f329(f82(x100621),f329(f329(f249(x100621),x100622),f329(f108(a909),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(x100621),x100623),f329(f108(a909),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(x100621))
% 192.24/192.22 [10202]~P126(x102021)+~P1(f329(f329(f239(x102021),f2(x102021)),x102023))+P1(f329(f329(f239(x102021),x102022),x102023))+~P1(f329(f329(f239(x102021),f329(f329(f249(x102021),x102022),f329(f108(a909),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(x102021),x102023),f329(f108(a909),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))))))
% 192.24/192.22 [10258]~P120(x102582)+~E(x102581,f2(x102582))+~E(x102583,f2(x102582))+~P1(f329(f329(f240(x102582),f2(x102582)),f329(f329(f82(x102582),f329(f329(f249(x102582),x102583),f329(f108(a909),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(x102582),x102581),f329(f108(a909),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)))))))
% 192.24/192.22 [9450]E(x94501,x94502)+~E(f674(x94501,x94502,x94504,x94503),f676(x94501,x94502,x94504,x94503))+P1(f329(f329(f331(f916(f910(x94503),f910(x94503))),f329(f329(f257(f910(x94503),f910(x94503)),x94502),x94501)),f150(x94503,x94504)))+P1(f329(f329(f331(f916(f910(x94503),f910(x94503))),f329(f329(f257(f910(x94503),f910(x94503)),x94501),x94502)),f150(x94503,x94504)))
% 192.24/192.22 [4952]~P70(x49522)+~E(x49524,f2(x49522))+~E(x49521,f2(x49522))+E(x49521,f329(f329(f292(x49522),x49523),x49524))
% 192.24/192.22 [4953]~P70(x49531)+~E(x49533,f2(x49531))+~E(x49534,f2(x49531))+E(f329(f329(f292(x49531),x49532),x49533),x49534)
% 192.24/192.22 [5070]~P70(x50702)+E(x50701,f2(x50702))+~E(x50703,f2(x50702))+~E(x50701,f329(f329(f292(x50702),x50704),x50703))
% 192.24/192.22 [5071]~P70(x50712)+E(x50711,f2(x50712))+~E(x50713,f2(x50712))+~E(f329(f329(f292(x50712),x50714),x50713),x50711)
% 192.24/192.22 [5256]~P123(x52562)+E(x52561,f2(x52562))+~E(f329(f329(f292(x52562),x52563),x52561),x52564)+E(x52563,f329(f329(f83(x52562),x52564),x52561))
% 192.24/192.22 [5258]~P123(x52582)+E(x52581,f2(x52582))+~E(f329(f329(f83(x52582),x52583),x52581),x52584)+E(x52583,f329(f329(f292(x52582),x52584),x52581))
% 192.24/192.22 [5259]~P70(x52592)+E(x52591,f2(x52592))+~E(f329(f329(f292(x52592),x52593),x52591),x52594)+E(x52593,f329(f329(f83(x52592),x52594),x52591))
% 192.24/192.22 [5260]~P70(x52602)+E(x52601,f2(x52602))+~E(f329(f329(f83(x52602),x52603),x52601),x52604)+E(x52603,f329(f329(f292(x52602),x52604),x52601))
% 192.24/192.22 [5261]~P123(x52612)+E(x52611,f2(x52612))+~E(x52613,f329(f329(f292(x52612),x52614),x52611))+E(f329(f329(f83(x52612),x52613),x52611),x52614)
% 192.24/192.22 [5263]~P123(x52632)+E(x52631,f2(x52632))+~E(x52633,f329(f329(f83(x52632),x52634),x52631))+E(f329(f329(f292(x52632),x52633),x52631),x52634)
% 192.24/192.22 [5264]~P70(x52642)+E(x52641,f2(x52642))+~E(x52643,f329(f329(f292(x52642),x52644),x52641))+E(f329(f329(f83(x52642),x52643),x52641),x52644)
% 192.24/192.22 [5265]~P70(x52652)+E(x52651,f2(x52652))+~E(x52653,f329(f329(f83(x52652),x52654),x52651))+E(f329(f329(f292(x52652),x52653),x52651),x52654)
% 192.24/192.22 [5290]~P70(x52902)+~E(x52901,f2(x52902))+~E(f329(f329(f83(x52902),x52901),x52904),x52903)+E(x52901,f329(f329(f292(x52902),x52903),x52904))
% 192.24/192.22 [5291]~P70(x52911)+~E(x52914,f2(x52911))+~E(x52912,f329(f329(f83(x52911),x52914),x52913))+E(f329(f329(f292(x52911),x52912),x52913),x52914)
% 192.24/192.22 [5364]~E(x53643,x53644)+~E(x53642,x53643)+~P113(x53641)+E(f305(x53641,x53642,x53643),f329(f329(f311(x53641),x53644),f191(f917(x53641,a904))))
% 192.24/192.22 [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)
% 192.24/192.22 [6198]~P126(x61983)+E(x61981,x61982)+~E(f329(f329(f249(x61983),x61984),x61981),f329(f329(f249(x61983),x61984),x61982))+~P1(f329(f329(f240(x61983),f80(x61983)),x61984))
% 192.24/192.22 [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))
% 192.24/192.22 [6242]E(f329(x62421,x62422),f2(a909))+~E(f329(f329(f6(x62423,a909),x62421),x62424),f2(a909))+~P1(f329(f62(x62423),x62424))+~P1(f329(f329(f331(x62423),x62422),x62424))
% 192.24/192.22 [6243]E(f329(x62431,x62432),f80(a909))+~E(f329(f329(f9(x62433,a909),x62431),x62434),f80(a909))+~P1(f329(f62(x62433),x62434))+~P1(f329(f329(f331(x62433),x62432),x62434))
% 192.24/192.22 [6458]~P113(x64581)+~P1(f329(f329(f240(x64581),x64584),x64583))+P1(f329(f329(f240(x64581),x64582),x64583))+~P1(f329(f329(f240(x64581),x64582),x64584))
% 192.24/192.22 [6459]~P113(x64591)+~P1(f329(f329(f239(x64591),x64594),x64593))+P1(f329(f329(f240(x64591),x64592),x64593))+~P1(f329(f329(f240(x64591),x64592),x64594))
% 192.24/192.22 [6460]~P113(x64601)+~P1(f329(f329(f239(x64601),x64602),x64604))+P1(f329(f329(f240(x64601),x64602),x64603))+~P1(f329(f329(f240(x64601),x64604),x64603))
% 192.24/192.22 [6461]~P111(x64611)+~P1(f329(f329(f240(x64611),x64612),x64614))+P1(f329(f329(f240(x64611),x64612),x64613))+~P1(f329(f329(f240(x64611),x64614),x64613))
% 192.24/192.22 [6462]~P111(x64621)+~P1(f329(f329(f239(x64621),x64622),x64624))+P1(f329(f329(f240(x64621),x64622),x64623))+~P1(f329(f329(f240(x64621),x64624),x64623))
% 192.24/192.22 [6463]~P111(x64631)+~P1(f329(f329(f239(x64631),x64634),x64633))+P1(f329(f329(f240(x64631),x64632),x64633))+~P1(f329(f329(f240(x64631),x64632),x64634))
% 192.24/192.22 [6464]~P113(x64641)+~P1(f329(f329(f239(x64641),x64644),x64643))+P1(f329(f329(f239(x64641),x64642),x64643))+~P1(f329(f329(f239(x64641),x64642),x64644))
% 192.24/192.22 [6465]~P111(x64651)+~P1(f329(f329(f239(x64651),x64652),x64654))+P1(f329(f329(f239(x64651),x64652),x64653))+~P1(f329(f329(f239(x64651),x64654),x64653))
% 192.24/192.22 [6549]~P42(x65494,x65493,x65492)+E(x65491,f780(x65492,x65493,x65494))+~P1(f329(x65493,x65491))+~P1(f329(f329(f331(x65494),x65491),f329(f175(x65494),x65492)))
% 192.24/192.22 [6550]~P42(x65504,x65503,x65502)+E(x65501,f793(x65502,x65503,x65504))+~P1(f329(x65503,x65501))+~P1(f329(f329(f331(x65504),x65501),f329(f175(x65504),x65502)))
% 192.24/192.22 [6699]~P11(x66991)+~P1(f329(f329(f239(x66991),x66992),f39(x66991,x66994)))+P1(f329(f329(f239(x66991),x66992),x66993))+~P1(f329(f329(f331(x66991),x66993),x66994))
% 192.24/192.22 [6843]~P112(x68431)+~P19(x68431,f329(f329(f154(x68431),x68432),x68434))+~P1(f329(f329(f331(x68431),x68433),f329(f175(x68431),x68434)))+P1(f329(f329(f239(x68431),x68432),x68433))
% 192.24/192.22 [6931]~P11(x69311)+~P1(f329(f329(f239(x69311),f38(x69311,x69314)),x69313))+P1(f329(f329(f239(x69311),x69312),x69313))+~P1(f329(f329(f331(x69311),x69312),x69314))
% 192.24/192.22 [7332]~P112(x73321)+E(f329(f329(f115(f917(x73321,a904)),f329(f304(x73321,x73322),x73323)),f329(f304(x73321,x73323),x73324)),f329(f304(x73321,x73322),x73324))+~P1(f329(f329(f239(x73321),x73323),x73324))+~P1(f329(f329(f239(x73321),x73322),x73323))
% 192.24/192.22 [7379]P42(x73791,x73792,x73793)+~E(f795(x73793,x73792,x73791,x73794),x73794)+~P1(f329(x73792,x73794))+~P1(f329(f329(f331(x73791),x73794),f329(f175(x73791),x73793)))
% 192.24/192.22 [7380]P42(x73801,x73802,x73803)+~E(f802(x73803,x73802,x73801,x73804),x73804)+~P1(f329(x73802,x73804))+~P1(f329(f329(f331(x73801),x73804),f329(f175(x73801),x73803)))
% 192.24/192.22 [7459]~P112(x74591)+E(f329(f329(f115(f917(x74591,a904)),f329(f304(x74591,x74592),x74593)),f305(x74591,x74593,x74594)),f305(x74591,x74592,x74594))+~P1(f329(f329(f239(x74591),x74593),x74594))+~P1(f329(f329(f239(x74591),x74592),x74593))
% 192.24/192.22 [7521]~P112(x75211)+E(f329(f329(f115(f917(x75211,a904)),f308(x75211,x75212,x75213)),f329(f304(x75211,x75213),x75214)),f308(x75211,x75212,x75214))+~P1(f329(f329(f240(x75211),x75212),x75213))+~P1(f329(f329(f239(x75211),x75213),x75214))
% 192.24/192.22 [7542]~P112(x75421)+E(f329(f329(f115(f917(x75421,a904)),f305(x75421,x75422,x75423)),f308(x75421,x75423,x75424)),f329(f304(x75421,x75422),x75424))+~P1(f329(f329(f240(x75421),x75423),x75424))+~P1(f329(f329(f239(x75421),x75422),x75423))
% 192.24/192.22 [7576]~P112(x75761)+E(f329(f329(f115(f917(x75761,a904)),f308(x75761,x75762,x75763)),f305(x75761,x75763,x75764)),f307(x75761,x75762,x75764))+~P1(f329(f329(f240(x75761),x75762),x75763))+~P1(f329(f329(f239(x75761),x75763),x75764))
% 192.24/192.22 [7577]~P112(x75771)+E(f329(f329(f115(f917(x75771,a904)),f307(x75771,x75772,x75773)),f308(x75771,x75773,x75774)),f308(x75771,x75772,x75774))+~P1(f329(f329(f240(x75771),x75773),x75774))+~P1(f329(f329(f239(x75771),x75772),x75773))
% 192.24/192.22 [7578]~P112(x75781)+E(f329(f329(f115(f917(x75781,a904)),f307(x75781,x75782,x75783)),f307(x75781,x75783,x75784)),f307(x75781,x75782,x75784))+~P1(f329(f329(f239(x75781),x75783),x75784))+~P1(f329(f329(f239(x75781),x75782),x75783))
% 192.24/192.22 [7579]~P112(x75791)+E(f329(f329(f115(f917(x75791,a904)),f305(x75791,x75792,x75793)),f307(x75791,x75793,x75794)),f305(x75791,x75792,x75794))+~P1(f329(f329(f239(x75791),x75793),x75794))+~P1(f329(f329(f239(x75791),x75792),x75793))
% 192.24/192.22 [8380]P31(x83801,x83802,f526(x83803,x83802,x83804,x83801),x83804)+~P1(f329(f62(x83802),x83803))+~P1(f329(f62(x83801),x83804))+~P1(f329(f329(f239(a909),f329(f36(x83801),x83804)),f329(f36(x83802),x83803)))
% 192.24/192.22 [8401]P42(x84011,x84012,x84013)+~P1(f329(x84012,x84014))+P1(f329(x84012,f795(x84013,x84012,x84011,x84014)))+~P1(f329(f329(f331(x84011),x84014),f329(f175(x84011),x84013)))
% 192.24/192.22 [8402]P42(x84021,x84022,x84023)+~P1(f329(x84022,x84024))+P1(f329(x84022,f802(x84023,x84022,x84021,x84024)))+~P1(f329(f329(f331(x84021),x84024),f329(f175(x84021),x84023)))
% 192.24/192.22 [8457]~P80(x84571)+~E(f329(x84573,f889(x84573,x84574,x84572,x84571)),f80(x84571))+E(f329(f329(f329(f66(x84571,x84572,f83(x84571)),x84573),f80(x84571)),x84574),f80(x84571))+~P1(f329(f62(x84572),x84574))
% 192.24/192.22 [8736]~P126(x87361)+~P1(f329(f329(f239(x87361),f2(x87361)),x87363))+P1(f329(f329(f239(x87361),x87362),x87363))+~P1(f329(f329(f239(x87361),f329(f329(f249(x87361),x87362),f329(a117,x87364))),f329(f329(f249(x87361),x87363),f329(a117,x87364))))
% 192.24/192.22 [8895]~P47(f917(x88954,a904),f917(x88954,a904),x88953)+P1(f329(x88951,x88952))+~P1(f329(x88951,f479(x88951,x88953,x88952,x88954)))+~P1(f329(f329(f331(x88954),x88952),f100(f917(x88954,a904),x88953)))
% 192.24/192.22 [9039]P42(x90391,x90392,x90393)+~P1(f329(x90392,x90394))+~P1(f329(f329(f331(x90391),x90394),f329(f175(x90391),x90393)))+P1(f329(f329(f331(x90391),f795(x90393,x90392,x90391,x90394)),f329(f175(x90391),x90393)))
% 192.24/192.22 [9040]P42(x90401,x90402,x90403)+~P1(f329(x90402,x90404))+~P1(f329(f329(f331(x90401),x90404),f329(f175(x90401),x90403)))+P1(f329(f329(f331(x90401),f802(x90403,x90402,x90401,x90404)),f329(f175(x90401),x90403)))
% 192.24/192.22 [9118]~P80(x91181)+E(f329(f329(f329(f66(x91181,x91182,f83(x91181)),x91183),f80(x91181)),x91184),f80(x91181))+~P1(f329(f62(x91182),x91184))+P1(f329(f329(f331(x91182),f889(x91183,x91184,x91182,x91181)),x91184))
% 192.24/192.22 [9620]~P1(f329(f329(f239(a1),x96204),f2(a1)))+P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96201),f46(a1,x96202,x96203))),x96204)),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x96203))+~P1(f329(f329(f240(a1),x96201),x96204))
% 192.24/192.22 [10055]~P1(f329(f62(x100551),x100552))+~P1(f329(f329(f331(x100551),x100554),x100552))+~P1(f329(f329(f331(x100551),x100553),x100552))+P1(f329(f329(f240(a909),f329(f36(x100551),f329(f329(f23(f917(x100551,a904)),f329(f329(f23(f917(x100551,a904)),x100552),f329(f329(f311(x100551),x100553),f191(f917(x100551,a904))))),f329(f329(f311(x100551),x100554),f191(f917(x100551,a904)))))),f329(f36(x100551),x100552)))
% 192.24/192.22 [7043]~P112(x70431)+~P1(f329(f329(f240(x70431),x70432),x70434))+~P1(f329(f329(f240(x70431),x70432),x70433))+P1(f329(f329(f240(x70431),x70432),f329(f329(f237(x70431),x70433),x70434)))
% 192.24/192.22 [7046]~P104(x70461)+~P1(f329(f329(f239(x70461),x70462),x70464))+~P1(f329(f329(f239(x70461),x70462),x70463))+P1(f329(f329(f239(x70461),x70462),f329(f329(f106(x70461),x70463),x70464)))
% 192.24/192.22 [7049]~P112(x70491)+~P1(f329(f329(f239(x70491),x70492),x70494))+~P1(f329(f329(f239(x70491),x70492),x70493))+P1(f329(f329(f239(x70491),x70492),f329(f329(f237(x70491),x70493),x70494)))
% 192.24/192.22 [7069]~P71(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(a909),x70693),x70694)))+~P1(f329(f329(f239(a909),x70694),x70693))
% 192.24/192.22 [7113]~P112(x71131)+~P19(x71131,f329(f329(f154(x71131),x71133),x71134))+P19(x71131,f329(f329(f154(x71131),x71132),f329(f329(f154(x71131),x71133),x71134)))+~P1(f329(f329(f239(x71131),x71132),x71133))
% 192.24/192.22 [7149]~P91(x71491)+~P1(f329(f329(f239(x71491),f2(x71491)),x71493))+~P1(f329(f329(f240(x71491),x71492),x71494))+P1(f329(f329(f240(x71491),x71492),f329(f329(f82(x71491),x71493),x71494)))
% 192.24/192.22 [7150]~P91(x71501)+~P1(f329(f329(f239(x71501),x71502),x71504))+~P1(f329(f329(f240(x71501),f2(x71501)),x71503))+P1(f329(f329(f240(x71501),x71502),f329(f329(f82(x71501),x71503),x71504)))
% 192.24/192.22 [7151]~P126(x71511)+~P1(f329(f329(f240(x71511),f2(x71511)),x71513))+~P1(f329(f329(f240(x71511),x71512),x71514))+P1(f329(f329(f240(x71511),x71512),f329(f329(f82(x71511),x71513),x71514)))
% 192.24/192.22 [7152]~P91(x71521)+~P1(f329(f329(f239(x71521),f2(x71521)),x71524))+~P1(f329(f329(f239(x71521),x71522),x71523))+P1(f329(f329(f239(x71521),x71522),f329(f329(f82(x71521),x71523),x71524)))
% 192.24/192.22 [7153]~P91(x71531)+~P1(f329(f329(f239(x71531),f2(x71531)),x71533))+~P1(f329(f329(f239(x71531),x71532),x71534))+P1(f329(f329(f239(x71531),x71532),f329(f329(f82(x71531),x71533),x71534)))
% 192.24/192.22 [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(f238(x71941),x71944),x71943)))
% 192.24/192.22 [7195]~P112(x71951)+P1(f329(f329(f239(x71951),x71952),x71953))+P1(f329(f329(f239(x71951),x71952),x71954))+~P1(f329(f329(f239(x71951),x71952),f329(f329(f238(x71951),x71954),x71953)))
% 192.24/192.22 [7494]~P113(x74942)+~P69(x74941)+~P1(f329(f329(f240(f917(x74941,x74942)),x74943),x74944))+P1(f329(f329(f239(f917(x74941,x74942)),x74943),x74944))
% 192.24/192.22 [7863]~P73(x78631)+~P1(f329(f329(f240(x78631),x78634),f2(x78631)))+~P1(f329(f329(f240(x78631),x78633),f329(f329(f292(x78631),x78632),x78634)))+P1(f329(f329(f240(x78631),x78632),f329(f329(f83(x78631),x78633),x78634)))
% 192.24/192.22 [7864]~P73(x78641)+~P1(f329(f329(f240(x78641),x78644),f2(x78641)))+~P1(f329(f329(f240(x78641),x78643),f329(f329(f83(x78641),x78642),x78644)))+P1(f329(f329(f240(x78641),x78642),f329(f329(f292(x78641),x78643),x78644)))
% 192.24/192.22 [7865]~P73(x78651)+~P1(f329(f329(f240(x78651),x78654),f2(x78651)))+~P1(f329(f329(f239(x78651),x78653),f329(f329(f292(x78651),x78652),x78654)))+P1(f329(f329(f239(x78651),x78652),f329(f329(f83(x78651),x78653),x78654)))
% 192.24/192.22 [7866]~P73(x78661)+~P1(f329(f329(f240(x78661),x78664),f2(x78661)))+~P1(f329(f329(f239(x78661),x78663),f329(f329(f83(x78661),x78662),x78664)))+P1(f329(f329(f239(x78661),x78662),f329(f329(f292(x78661),x78663),x78664)))
% 192.24/192.22 [7982]~P128(x79821)+~P1(f329(f329(f240(x79821),x79823),f2(x79821)))+~P1(f329(f329(f240(x79821),x79824),x79822))+P1(f329(f329(f240(x79821),f329(f329(f83(x79821),x79822),x79823)),f329(f329(f83(x79821),x79824),x79823)))
% 192.24/192.22 [7983]~P128(x79831)+~P1(f329(f329(f240(x79831),x79832),f2(x79831)))+~P1(f329(f329(f240(x79831),x79834),x79833))+P1(f329(f329(f240(x79831),f329(f329(f83(x79831),x79832),x79833)),f329(f329(f83(x79831),x79832),x79834)))
% 192.24/192.22 [7984]~P73(x79841)+~P1(f329(f329(f240(x79841),x79843),f2(x79841)))+~P1(f329(f329(f240(x79841),x79844),x79842))+P1(f329(f329(f240(x79841),f329(f329(f292(x79841),x79842),x79843)),f329(f329(f292(x79841),x79844),x79843)))
% 192.24/192.22 [7985]~P128(x79851)+~P1(f329(f329(f240(x79851),x79852),f2(x79851)))+~P1(f329(f329(f239(x79851),x79854),x79853))+P1(f329(f329(f239(x79851),f329(f329(f83(x79851),x79852),x79853)),f329(f329(f83(x79851),x79852),x79854)))
% 192.24/192.22 [7986]~P138(x79861)+~P1(f329(f329(f239(x79861),x79862),f2(x79861)))+~P1(f329(f329(f239(x79861),x79864),x79863))+P1(f329(f329(f239(x79861),f329(f329(f83(x79861),x79862),x79863)),f329(f329(f83(x79861),x79862),x79864)))
% 192.24/192.22 [7987]~P138(x79871)+~P1(f329(f329(f239(x79871),x79873),f2(x79871)))+~P1(f329(f329(f239(x79871),x79874),x79872))+P1(f329(f329(f239(x79871),f329(f329(f83(x79871),x79872),x79873)),f329(f329(f83(x79871),x79874),x79873)))
% 192.24/192.22 [7988]~P72(x79881)+~P1(f329(f329(f239(x79881),x79883),f2(x79881)))+~P1(f329(f329(f239(x79881),x79884),x79882))+P1(f329(f329(f239(x79881),f329(f329(f292(x79881),x79882),x79883)),f329(f329(f292(x79881),x79884),x79883)))
% 192.24/192.22 [7990]~P126(x79901)+~P1(f329(f329(f240(x79901),f80(x79901)),x79902))+~P1(f329(f329(f240(a909),x79903),x79904))+P1(f329(f329(f240(x79901),f329(f329(f249(x79901),x79902),x79903)),f329(f329(f249(x79901),x79902),x79904)))
% 192.24/192.22 [7991]~P126(x79911)+~P1(f329(f329(f240(x79911),f80(x79911)),x79912))+~P1(f329(f329(f239(a909),x79913),x79914))+P1(f329(f329(f239(x79911),f329(f329(f249(x79911),x79912),x79913)),f329(f329(f249(x79911),x79912),x79914)))
% 192.24/192.22 [7992]~P126(x79921)+~P1(f329(f329(f239(x79921),f80(x79921)),x79922))+~P1(f329(f329(f239(a909),x79923),x79924))+P1(f329(f329(f239(x79921),f329(f329(f249(x79921),x79922),x79923)),f329(f329(f249(x79921),x79922),x79924)))
% 192.24/192.22 [8019]P1(f329(f329(f240(a909),f2(a909)),f329(x80191,x80192)))+~P1(f329(f62(x80193),x80194))+~P1(f329(f329(f331(x80193),x80192),x80194))+~P1(f329(f329(f240(a909),f2(a909)),f329(f329(f9(x80193,a909),x80191),x80194)))
% 192.24/192.22 [8029]~P132(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)))
% 192.24/192.22 [8030]~P121(x80301)+~P1(f329(f329(f240(x80301),x80303),x80304))+~P1(f329(f329(f240(x80301),f2(x80301)),x80302))+P1(f329(f329(f240(x80301),f329(f329(f83(x80301),x80302),x80303)),f329(f329(f83(x80301),x80302),x80304)))
% 192.24/192.22 [8031]~P128(x80311)+~P1(f329(f329(f240(x80311),x80312),x80314))+~P1(f329(f329(f240(x80311),f2(x80311)),x80313))+P1(f329(f329(f240(x80311),f329(f329(f83(x80311),x80312),x80313)),f329(f329(f83(x80311),x80314),x80313)))
% 192.24/192.22 [8032]~P132(x80321)+~P1(f329(f329(f240(x80321),x80322),x80324))+~P1(f329(f329(f240(x80321),f2(x80321)),x80323))+P1(f329(f329(f240(x80321),f329(f329(f83(x80321),x80322),x80323)),f329(f329(f83(x80321),x80324),x80323)))
% 192.24/192.22 [8033]~P128(x80331)+~P1(f329(f329(f240(x80331),x80333),x80334))+~P1(f329(f329(f240(x80331),f2(x80331)),x80332))+P1(f329(f329(f240(x80331),f329(f329(f83(x80331),x80332),x80333)),f329(f329(f83(x80331),x80332),x80334)))
% 192.24/192.22 [8034]~P73(x80341)+~P1(f329(f329(f240(x80341),x80342),x80344))+~P1(f329(f329(f240(x80341),f2(x80341)),x80343))+P1(f329(f329(f240(x80341),f329(f329(f292(x80341),x80342),x80343)),f329(f329(f292(x80341),x80344),x80343)))
% 192.24/192.22 [8035]~P128(x80351)+~P1(f329(f329(f240(x80351),f2(x80351)),x80352))+~P1(f329(f329(f239(x80351),x80353),x80354))+P1(f329(f329(f239(x80351),f329(f329(f83(x80351),x80352),x80353)),f329(f329(f83(x80351),x80352),x80354)))
% 192.24/192.22 [8036]~P140(x80361)+~P1(f329(f329(f239(x80361),x80363),x80364))+~P1(f329(f329(f239(x80361),f2(x80361)),x80362))+P1(f329(f329(f239(x80361),f329(f329(f83(x80361),x80362),x80363)),f329(f329(f83(x80361),x80362),x80364)))
% 192.24/192.22 [8037]~P139(x80371)+~P1(f329(f329(f239(x80371),x80373),x80374))+~P1(f329(f329(f239(x80371),f2(x80371)),x80372))+P1(f329(f329(f239(x80371),f329(f329(f83(x80371),x80372),x80373)),f329(f329(f83(x80371),x80372),x80374)))
% 192.24/192.22 [8038]~P140(x80381)+~P1(f329(f329(f239(x80381),x80382),x80384))+~P1(f329(f329(f239(x80381),f2(x80381)),x80383))+P1(f329(f329(f239(x80381),f329(f329(f83(x80381),x80382),x80383)),f329(f329(f83(x80381),x80384),x80383)))
% 192.24/192.22 [8039]~P126(x80391)+~P1(f329(f329(f239(x80391),x80392),x80394))+~P1(f329(f329(f239(x80391),f2(x80391)),x80392))+P1(f329(f329(f239(x80391),f329(f329(f249(x80391),x80392),x80393)),f329(f329(f249(x80391),x80394),x80393)))
% 192.24/192.22 [8040]~P72(x80401)+~P1(f329(f329(f239(x80401),x80402),x80404))+~P1(f329(f329(f239(x80401),f2(x80401)),x80403))+P1(f329(f329(f239(x80401),f329(f329(f292(x80401),x80402),x80403)),f329(f329(f292(x80401),x80404),x80403)))
% 192.24/192.22 [8083]~P114(x80832)+P1(f329(f329(f239(f917(x80831,x80832)),x80834),x80833))+~P1(f329(f329(f239(f917(x80831,x80832)),x80833),x80834))+P1(f329(f329(f240(f917(x80831,x80832)),x80833),x80834))
% 192.24/192.22 [8128]P1(f329(f329(f331(x81281),x81282),x81283))+P1(f329(f329(f331(x81281),x81282),x81284))+~P1(f329(f329(f239(f917(x81281,a904)),x81284),x81283))+P1(f329(f329(f240(f917(x81281,a904)),x81284),f329(f329(f311(x81281),x81282),x81283)))
% 192.24/192.22 [8291]P1(f329(f329(f331(x82911),x82912),x82913))+P1(f329(f329(f331(x82911),x82912),x82914))+~P1(f329(f329(f240(f917(x82911,a904)),x82914),f329(f329(f311(x82911),x82912),x82913)))+P1(f329(f329(f239(f917(x82911,a904)),x82914),x82913))
% 192.24/192.22 [8358]~P128(x83581)+P1(f329(f329(f240(x83581),x83583),x83582))+P1(f329(f329(f240(x83581),x83582),x83583))+~P1(f329(f329(f240(x83581),f329(f329(f83(x83581),x83584),x83582)),f329(f329(f83(x83581),x83584),x83583)))
% 192.24/192.22 [8359]~P128(x83591)+P1(f329(f329(f240(x83591),x83593),x83592))+P1(f329(f329(f240(x83591),x83592),x83593))+~P1(f329(f329(f240(x83591),f329(f329(f83(x83591),x83592),x83594)),f329(f329(f83(x83591),x83593),x83594)))
% 192.24/192.22 [8370]~P128(x83701)+P1(f329(f329(f240(x83701),x83704),f2(x83701)))+P1(f329(f329(f240(x83701),x83702),x83703))+~P1(f329(f329(f240(x83701),f329(f329(f83(x83701),x83702),x83704)),f329(f329(f83(x83701),x83703),x83704)))
% 192.24/192.22 [8371]~P128(x83711)+P1(f329(f329(f240(x83711),x83714),f2(x83711)))+P1(f329(f329(f240(x83711),x83712),x83713))+~P1(f329(f329(f240(x83711),f329(f329(f83(x83711),x83714),x83712)),f329(f329(f83(x83711),x83714),x83713)))
% 192.24/192.22 [8374]~P128(x83741)+P1(f329(f329(f240(x83741),x83742),x83743))+P1(f329(f329(f240(x83741),f2(x83741)),x83744))+~P1(f329(f329(f240(x83741),f329(f329(f83(x83741),x83744),x83743)),f329(f329(f83(x83741),x83744),x83742)))
% 192.24/192.22 [8375]~P128(x83751)+P1(f329(f329(f240(x83751),x83752),x83753))+P1(f329(f329(f240(x83751),f2(x83751)),x83754))+~P1(f329(f329(f240(x83751),f329(f329(f83(x83751),x83753),x83754)),f329(f329(f83(x83751),x83752),x83754)))
% 192.24/192.22 [8388]~P128(x83881)+P1(f329(f329(f240(x83881),x83882),f2(x83881)))+P1(f329(f329(f240(x83881),f2(x83881)),x83882))+~P1(f329(f329(f240(x83881),f329(f329(f83(x83881),x83883),x83882)),f329(f329(f83(x83881),x83884),x83882)))
% 192.24/192.22 [8389]~P128(x83891)+P1(f329(f329(f240(x83891),x83892),f2(x83891)))+P1(f329(f329(f240(x83891),f2(x83891)),x83892))+~P1(f329(f329(f240(x83891),f329(f329(f83(x83891),x83892),x83893)),f329(f329(f83(x83891),x83892),x83894)))
% 192.24/192.22 [8419]~P128(x84191)+~P1(f329(f329(f240(x84191),x84194),f2(x84191)))+P1(f329(f329(f240(x84191),x84192),x84193))+~P1(f329(f329(f240(x84191),f329(f329(f83(x84191),x84194),x84193)),f329(f329(f83(x84191),x84194),x84192)))
% 192.24/192.22 [8420]~P128(x84201)+~P1(f329(f329(f240(x84201),x84204),f2(x84201)))+P1(f329(f329(f239(x84201),x84202),x84203))+~P1(f329(f329(f239(x84201),f329(f329(f83(x84201),x84204),x84203)),f329(f329(f83(x84201),x84204),x84202)))
% 192.24/192.22 [8433]~P126(x84333)+~P1(f329(f329(f240(x84333),f80(x84333)),x84334))+P1(f329(f329(f240(a909),x84331),x84332))+~P1(f329(f329(f240(x84333),f329(f329(f249(x84333),x84334),x84331)),f329(f329(f249(x84333),x84334),x84332)))
% 192.24/192.22 [8435]~P126(x84353)+~P1(f329(f329(f240(x84353),f80(x84353)),x84354))+P1(f329(f329(f239(a909),x84351),x84352))+~P1(f329(f329(f239(x84353),f329(f329(f249(x84353),x84354),x84351)),f329(f329(f249(x84353),x84354),x84352)))
% 192.24/192.22 [8445]~P128(x84451)+P1(f329(f329(f240(x84451),x84452),x84453))+~P1(f329(f329(f240(x84451),f2(x84451)),x84454))+~P1(f329(f329(f240(x84451),f329(f329(f83(x84451),x84454),x84452)),f329(f329(f83(x84451),x84454),x84453)))
% 192.24/192.22 [8446]~P132(x84461)+P1(f329(f329(f240(x84461),x84462),x84463))+~P1(f329(f329(f239(x84461),f2(x84461)),x84464))+~P1(f329(f329(f240(x84461),f329(f329(f83(x84461),x84464),x84462)),f329(f329(f83(x84461),x84464),x84463)))
% 192.24/192.22 [8447]~P133(x84471)+P1(f329(f329(f240(x84471),x84472),x84473))+~P1(f329(f329(f239(x84471),f2(x84471)),x84474))+~P1(f329(f329(f240(x84471),f329(f329(f83(x84471),x84474),x84472)),f329(f329(f83(x84471),x84474),x84473)))
% 192.24/192.22 [8448]~P126(x84481)+~P1(f329(f329(f239(x84481),f2(x84481)),x84483))+P1(f329(f329(f240(x84481),x84482),x84483))+~P1(f329(f329(f240(x84481),f329(f329(f249(x84481),x84482),x84484)),f329(f329(f249(x84481),x84483),x84484)))
% 192.24/192.22 [8449]~P132(x84491)+P1(f329(f329(f240(x84491),x84492),x84493))+~P1(f329(f329(f239(x84491),f2(x84491)),x84494))+~P1(f329(f329(f240(x84491),f329(f329(f83(x84491),x84492),x84494)),f329(f329(f83(x84491),x84493),x84494)))
% 192.24/192.22 [8450]~P133(x84501)+P1(f329(f329(f240(x84501),x84502),x84503))+~P1(f329(f329(f239(x84501),f2(x84501)),x84504))+~P1(f329(f329(f240(x84501),f329(f329(f83(x84501),x84502),x84504)),f329(f329(f83(x84501),x84503),x84504)))
% 192.24/192.22 [8451]~P128(x84511)+P1(f329(f329(f239(x84511),x84512),x84513))+~P1(f329(f329(f240(x84511),f2(x84511)),x84514))+~P1(f329(f329(f239(x84511),f329(f329(f83(x84511),x84514),x84512)),f329(f329(f83(x84511),x84514),x84513)))
% 192.24/192.22 [8452]~P132(x84521)+P1(f329(f329(f239(x84521),x84522),x84523))+~P1(f329(f329(f240(x84521),f2(x84521)),x84524))+~P1(f329(f329(f239(x84521),f329(f329(f83(x84521),x84524),x84522)),f329(f329(f83(x84521),x84524),x84523)))
% 192.24/192.22 [8453]~P132(x84531)+P1(f329(f329(f239(x84531),x84532),x84533))+~P1(f329(f329(f240(x84531),f2(x84531)),x84534))+~P1(f329(f329(f239(x84531),f329(f329(f83(x84531),x84532),x84534)),f329(f329(f83(x84531),x84533),x84534)))
% 192.24/192.22 [8494]P1(f329(f329(f331(x84941),x84942),x84943))+~P1(f329(f329(f239(f917(x84941,a904)),x84943),x84944))+~P1(f329(f329(f240(f917(x84941,a904)),x84943),x84944))+P1(f329(f329(f240(f917(x84941,a904)),x84943),f329(f329(f311(x84941),x84942),x84944)))
% 192.24/192.22 [8873]E(f329(f329(f23(a1),f391(x88731,x88732,x88733,x88734)),f392(x88731,x88732,x88733,x88734)),x88734)+~P1(f329(f329(f240(a1),f2(a1)),x88733))+~P1(f329(f329(f239(a1),x88731),x88734))+P1(f329(f329(f239(a1),x88731),f329(f329(f82(a1),x88734),x88733)))
% 192.24/192.22 [8874]E(f329(f329(f23(a1),f398(x88741,x88742,x88743,x88744)),f399(x88741,x88742,x88743,x88744)),x88744)+~P1(f329(f329(f240(a1),f2(a1)),x88743))+~P1(f329(f329(f240(a1),x88741),x88744))+P1(f329(f329(f240(a1),x88741),f329(f329(f82(a1),x88744),x88743)))
% 192.24/192.22 [9019]~E(f329(f329(f167(x90191),x90193),f697(x90194,x90193,x90191,x90192)),f329(f329(f167(x90191),x90194),f697(x90194,x90193,x90191,x90192)))+E(f329(f329(f178(x90191),x90192),x90193),f329(f329(f178(x90191),x90192),x90194))+~P1(f329(f329(f239(a909),x90192),f329(f192(f910(x90191)),x90193)))+~P1(f329(f329(f239(a909),x90192),f329(f192(f910(x90191)),x90194)))
% 192.24/192.22 [9086]~P1(f329(f329(f240(a1),f2(a1)),x90863))+~P1(f329(f329(f239(a1),x90861),x90864))+P1(f329(f329(f331(a1),f391(x90861,x90862,x90863,x90864)),x90862))+P1(f329(f329(f239(a1),x90861),f329(f329(f82(a1),x90864),x90863)))
% 192.24/192.22 [9087]~P1(f329(f329(f240(a1),f2(a1)),x90873))+~P1(f329(f329(f240(a1),x90871),x90874))+P1(f329(f329(f331(a1),f398(x90871,x90872,x90873,x90874)),x90872))+P1(f329(f329(f240(a1),x90871),f329(f329(f82(a1),x90874),x90873)))
% 192.24/192.22 [9127]~P104(x91271)+~P1(f329(f62(x91271),x91273))+~P1(f329(f329(f331(x91271),x91274),x91273))+P1(f329(f329(f239(x91271),f329(f329(f65(x91271,x91271,f106(x91271)),x91272),x91273)),f329(f329(f106(x91271),x91274),x91272)))
% 192.24/192.22 [9128]~P112(x91281)+~P1(f329(f62(x91281),x91283))+~P1(f329(f329(f331(x91281),x91284),x91283))+P1(f329(f329(f239(x91281),f329(f329(f65(x91281,x91281,f237(x91281)),x91282),x91283)),f329(f329(f237(x91281),x91284),x91282)))
% 192.24/192.22 [9175]E(f329(f329(f178(x91751),x91752),x91753),f329(f329(f178(x91751),x91752),x91754))+P1(f329(f329(f240(a909),f697(x91753,x91754,x91751,x91752)),x91752))+~P1(f329(f329(f239(a909),x91752),f329(f192(f910(x91751)),x91753)))+~P1(f329(f329(f239(a909),x91752),f329(f192(f910(x91751)),x91754)))
% 192.24/192.22 [9180]~P1(f329(f329(f240(a1),f2(a1)),x91803))+~P1(f329(f329(f240(a1),x91801),x91802))+P1(f329(f329(f331(a1),f399(x91801,x91804,x91803,x91802)),f305(a1,f80(a1),x91803)))+P1(f329(f329(f240(a1),x91801),f329(f329(f82(a1),x91802),x91803)))
% 192.24/192.22 [9181]~P1(f329(f329(f240(a1),f2(a1)),x91813))+~P1(f329(f329(f239(a1),x91811),x91812))+P1(f329(f329(f331(a1),f392(x91811,x91814,x91813,x91812)),f305(a1,f80(a1),x91813)))+P1(f329(f329(f239(a1),x91811),f329(f329(f82(a1),x91812),x91813)))
% 192.24/192.22 [9507]~P112(x95071)+~P1(f329(f62(x95071),x95074))+P1(f329(f329(f331(x95071),f651(x95072,x95073,x95074,x95071)),x95074))+P1(f329(f329(f239(x95071),f329(f329(f65(x95071,x95071,f238(x95071)),x95072),x95074)),f329(f329(f238(x95071),x95073),x95072)))
% 192.24/192.22 [9508]~P103(x95081)+~P1(f329(f62(x95081),x95084))+P1(f329(f329(f331(x95081),f655(x95082,x95083,x95084,x95081)),x95084))+P1(f329(f329(f239(x95081),f329(f329(f65(x95081,x95081,f115(x95081)),x95082),x95084)),f329(f329(f115(x95081),x95083),x95082)))
% 192.24/192.22 [9636]~P103(x96361)+~P1(f329(f62(x96361),x96363))+~P1(f329(f329(f239(x96361),f655(x96362,x96364,x96363,x96361)),x96364))+P1(f329(f329(f239(x96361),f329(f329(f65(x96361,x96361,f115(x96361)),x96362),x96363)),f329(f329(f115(x96361),x96364),x96362)))
% 192.24/192.22 [9637]~P112(x96371)+~P1(f329(f62(x96371),x96373))+~P1(f329(f329(f239(x96371),f651(x96372,x96374,x96373,x96371)),x96374))+P1(f329(f329(f239(x96371),f329(f329(f65(x96371,x96371,f238(x96371)),x96372),x96373)),f329(f329(f238(x96371),x96374),x96372)))
% 192.24/192.22 [9639]~P1(f329(f329(f240(a1),f2(a1)),x96393))+~P1(f329(f329(f239(a1),f2(a1)),x96394))+~P1(f329(f329(f240(a1),x96394),x96391))+P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x96391),f46(a1,x96392,x96393))),x96394)),f329(f329(f83(a1),x96391),x96393)))
% 192.24/192.22 [10025]E(x100251,x100252)+P1(f329(f329(f331(f916(f910(x100253),f910(x100253))),f329(f329(f257(f910(x100253),f910(x100253)),x100252),x100251)),f150(x100253,x100254)))+P1(f329(f329(f331(f916(f910(x100253),f910(x100253))),f329(f329(f257(f910(x100253),f910(x100253)),x100251),x100252)),f150(x100253,x100254)))+~P1(f329(f329(f331(f916(x100253,x100253)),f329(f329(f257(x100253,x100253),f674(x100251,x100252,x100254,x100253)),f676(x100251,x100252,x100254,x100253))),x100254))
% 192.24/192.22 [10026]E(x100261,x100262)+P1(f329(f329(f331(f916(f910(x100263),f910(x100263))),f329(f329(f257(f910(x100263),f910(x100263)),x100262),x100261)),f150(x100263,x100264)))+P1(f329(f329(f331(f916(f910(x100263),f910(x100263))),f329(f329(f257(f910(x100263),f910(x100263)),x100261),x100262)),f150(x100263,x100264)))+~P1(f329(f329(f331(f916(x100263,x100263)),f329(f329(f257(x100263,x100263),f676(x100261,x100262,x100264,x100263)),f674(x100261,x100262,x100264,x100263))),x100264))
% 192.24/192.22 [7565]~P112(x75651)+~P1(f329(f329(f240(x75651),x75653),x75654))+~P1(f329(f329(f240(x75651),x75652),x75654))+P1(f329(f329(f240(x75651),f329(f329(f238(x75651),x75652),x75653)),x75654))
% 192.24/192.22 [7568]~P103(x75681)+~P1(f329(f329(f239(x75681),x75683),x75684))+~P1(f329(f329(f239(x75681),x75682),x75684))+P1(f329(f329(f239(x75681),f329(f329(f115(x75681),x75682),x75683)),x75684))
% 192.24/192.22 [7571]~P112(x75711)+~P1(f329(f329(f239(x75711),x75713),x75714))+~P1(f329(f329(f239(x75711),x75712),x75714))+P1(f329(f329(f239(x75711),f329(f329(f238(x75711),x75712),x75713)),x75714))
% 192.24/192.22 [7888]~E(x78881,x78883)+E(f142(a909,f329(f304(a909,x78881),x78882)),f329(f329(f154(a909),x78883),x78884))+~E(f142(a909,f329(f304(a909,f329(f329(f82(a909),x78881),f80(a909))),x78882)),x78884)+~P1(f329(f329(f240(a909),x78881),x78882))
% 192.24/192.22 [7898]~P112(x78981)+P1(f329(f329(f240(x78981),x78982),x78983))+P1(f329(f329(f240(x78981),x78984),x78983))+~P1(f329(f329(f240(x78981),f329(f329(f237(x78981),x78984),x78982)),x78983))
% 192.24/192.22 [7899]~P112(x78991)+P1(f329(f329(f239(x78991),x78992),x78993))+P1(f329(f329(f239(x78991),x78994),x78993))+~P1(f329(f329(f239(x78991),f329(f329(f237(x78991),x78994),x78992)),x78993))
% 192.24/192.22 [8190]~P72(x81901)+~P1(f329(f329(f240(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))
% 192.24/192.22 [8191]~P73(x81911)+~P1(f329(f329(f240(x81911),f2(x81911)),x81913))+~P1(f329(f329(f240(x81911),x81912),f329(f329(f292(x81911),x81914),x81913)))+P1(f329(f329(f240(x81911),f329(f329(f83(x81911),x81912),x81913)),x81914))
% 192.24/192.22 [8192]~P72(x81921)+~P1(f329(f329(f240(x81921),f2(x81921)),x81923))+~P1(f329(f329(f240(x81921),x81922),f329(f329(f83(x81921),x81924),x81923)))+P1(f329(f329(f240(x81921),f329(f329(f292(x81921),x81922),x81923)),x81924))
% 192.24/192.22 [8194]~P73(x81941)+~P1(f329(f329(f240(x81941),f2(x81941)),x81943))+~P1(f329(f329(f240(x81941),x81942),f329(f329(f83(x81941),x81944),x81943)))+P1(f329(f329(f240(x81941),f329(f329(f292(x81941),x81942),x81943)),x81944))
% 192.24/192.22 [8195]~P72(x81951)+~P1(f329(f329(f240(x81951),f2(x81951)),x81953))+~P1(f329(f329(f239(x81951),x81952),f329(f329(f292(x81951),x81954),x81953)))+P1(f329(f329(f239(x81951),f329(f329(f83(x81951),x81952),x81953)),x81954))
% 192.24/192.22 [8196]~P73(x81961)+~P1(f329(f329(f240(x81961),f2(x81961)),x81963))+~P1(f329(f329(f239(x81961),x81962),f329(f329(f292(x81961),x81964),x81963)))+P1(f329(f329(f239(x81961),f329(f329(f83(x81961),x81962),x81963)),x81964))
% 192.24/192.22 [8197]~P72(x81971)+~P1(f329(f329(f240(x81971),f2(x81971)),x81973))+~P1(f329(f329(f239(x81971),x81972),f329(f329(f83(x81971),x81974),x81973)))+P1(f329(f329(f239(x81971),f329(f329(f292(x81971),x81972),x81973)),x81974))
% 192.24/192.22 [8199]~P73(x81991)+~P1(f329(f329(f240(x81991),f2(x81991)),x81993))+~P1(f329(f329(f239(x81991),x81992),f329(f329(f83(x81991),x81994),x81993)))+P1(f329(f329(f239(x81991),f329(f329(f292(x81991),x81992),x81993)),x81994))
% 192.24/192.22 [8327]~P72(x83271)+~P1(f329(f329(f240(x83271),f2(x83271)),x83274))+P1(f329(f329(f240(x83271),x83272),f329(f329(f83(x83271),x83273),x83274)))+~P1(f329(f329(f240(x83271),f329(f329(f292(x83271),x83272),x83274)),x83273))
% 192.24/192.22 [8328]~P72(x83281)+~P1(f329(f329(f240(x83281),f2(x83281)),x83284))+P1(f329(f329(f240(x83281),x83282),f329(f329(f292(x83281),x83283),x83284)))+~P1(f329(f329(f240(x83281),f329(f329(f83(x83281),x83282),x83284)),x83283))
% 192.24/192.22 [8330]~P73(x83301)+~P1(f329(f329(f240(x83301),f2(x83301)),x83304))+P1(f329(f329(f240(x83301),x83302),f329(f329(f83(x83301),x83303),x83304)))+~P1(f329(f329(f240(x83301),f329(f329(f292(x83301),x83302),x83304)),x83303))
% 192.24/192.22 [8331]~P73(x83311)+~P1(f329(f329(f240(x83311),f2(x83311)),x83314))+P1(f329(f329(f240(x83311),x83312),f329(f329(f292(x83311),x83313),x83314)))+~P1(f329(f329(f240(x83311),f329(f329(f83(x83311),x83312),x83314)),x83313))
% 192.24/192.22 [8332]~P72(x83321)+~P1(f329(f329(f240(x83321),f2(x83321)),x83324))+P1(f329(f329(f239(x83321),x83322),f329(f329(f83(x83321),x83323),x83324)))+~P1(f329(f329(f239(x83321),f329(f329(f292(x83321),x83322),x83324)),x83323))
% 192.24/192.22 [8333]~P72(x83331)+~P1(f329(f329(f240(x83331),f2(x83331)),x83334))+P1(f329(f329(f239(x83331),x83332),f329(f329(f292(x83331),x83333),x83334)))+~P1(f329(f329(f239(x83331),f329(f329(f83(x83331),x83332),x83334)),x83333))
% 192.24/192.22 [8335]~P73(x83351)+~P1(f329(f329(f240(x83351),f2(x83351)),x83354))+P1(f329(f329(f239(x83351),x83352),f329(f329(f83(x83351),x83353),x83354)))+~P1(f329(f329(f239(x83351),f329(f329(f292(x83351),x83352),x83354)),x83353))
% 192.24/192.22 [8336]~P73(x83361)+~P1(f329(f329(f240(x83361),f2(x83361)),x83364))+P1(f329(f329(f239(x83361),x83362),f329(f329(f292(x83361),x83363),x83364)))+~P1(f329(f329(f239(x83361),f329(f329(f83(x83361),x83362),x83364)),x83363))
% 192.24/192.22 [8498]~P73(x84981)+~P1(f329(f329(f240(x84981),x84983),f2(x84981)))+~P1(f329(f329(f240(x84981),f329(f329(f292(x84981),x84984),x84983)),x84982))+P1(f329(f329(f240(x84981),f329(f329(f83(x84981),x84982),x84983)),x84984))
% 192.24/192.22 [8499]~P73(x84991)+~P1(f329(f329(f240(x84991),x84993),f2(x84991)))+~P1(f329(f329(f240(x84991),f329(f329(f83(x84991),x84994),x84993)),x84992))+P1(f329(f329(f240(x84991),f329(f329(f292(x84991),x84992),x84993)),x84994))
% 192.24/192.22 [8500]~P73(x85001)+~P1(f329(f329(f240(x85001),x85003),f2(x85001)))+~P1(f329(f329(f239(x85001),f329(f329(f292(x85001),x85004),x85003)),x85002))+P1(f329(f329(f239(x85001),f329(f329(f83(x85001),x85002),x85003)),x85004))
% 192.24/192.22 [8501]~P73(x85011)+~P1(f329(f329(f240(x85011),x85013),f2(x85011)))+~P1(f329(f329(f239(x85011),f329(f329(f83(x85011),x85014),x85013)),x85012))+P1(f329(f329(f239(x85011),f329(f329(f292(x85011),x85012),x85013)),x85014))
% 192.24/192.22 [8513]~P1(f329(x85131,x85134))+~P1(f329(f329(f240(a909),x85132),f329(f329(f83(a909),x85133),f329(a117,x85134))))+P1(f329(x85131,f329(f329(f37(a909),x85132),x85133)))+~P1(f329(f329(f239(a909),f329(f329(f83(a909),x85133),x85134)),x85132))
% 192.24/192.22 [8734]~P103(x87341)+~P1(f329(f62(x87341),x87344))+~P1(f329(f329(f331(x87341),x87342),x87344))+P1(f329(f329(f239(x87341),f329(f329(f115(x87341),x87342),x87343)),f329(f329(f65(x87341,x87341,f115(x87341)),x87343),x87344)))
% 192.24/192.22 [8735]~P112(x87351)+~P1(f329(f62(x87351),x87354))+~P1(f329(f329(f331(x87351),x87352),x87354))+P1(f329(f329(f239(x87351),f329(f329(f238(x87351),x87352),x87353)),f329(f329(f65(x87351,x87351,f238(x87351)),x87353),x87354)))
% 192.24/192.22 [8875]~P1(f329(f62(x88751),x88752))+E(f329(f36(x88751),f329(f329(f23(f917(x88751,a904)),x88752),f329(f329(f311(x88751),x88753),x88754))),f329(f329(f23(a909),f329(f36(x88751),f329(f329(f23(f917(x88751,a904)),x88752),x88754))),f80(a909)))+P1(f329(f329(f331(x88751),x88753),x88754))+~P1(f329(f329(f331(x88751),x88753),x88752))
% 192.24/192.22 [8948]E(f329(f329(f82(a1),f393(x89481,x89482,x89483,x89484)),f394(x89481,x89482,x89483,x89484)),x89484)+~P1(f329(f329(f240(a1),f2(a1)),x89483))+~P1(f329(f329(f239(a1),x89484),x89481))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x89484),x89483)),x89481))
% 192.24/192.22 [8949]E(f329(f329(f82(a1),f400(x89491,x89492,x89493,x89494)),f401(x89491,x89492,x89493,x89494)),x89494)+~P1(f329(f329(f240(a1),f2(a1)),x89493))+~P1(f329(f329(f240(a1),x89494),x89491))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x89494),x89493)),x89491))
% 192.24/192.22 [9160]~P1(f329(f329(f240(a1),f2(a1)),x91603))+~P1(f329(f329(f239(a1),x91604),x91601))+P1(f329(f329(f331(a1),f393(x91601,x91602,x91603,x91604)),x91602))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x91604),x91603)),x91601))
% 192.24/192.22 [9161]~P1(f329(f329(f240(a1),f2(a1)),x91613))+~P1(f329(f329(f240(a1),x91614),x91611))+P1(f329(f329(f331(a1),f400(x91611,x91612,x91613,x91614)),x91612))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x91614),x91613)),x91611))
% 192.24/192.22 [9247]~P1(f329(f329(f240(a1),f2(a1)),x92472))+~P1(f329(f329(f240(a1),x92471),x92473))+P1(f329(f329(f331(a1),f401(x92473,x92474,x92472,x92471)),f305(a1,f80(a1),x92472)))+P1(f329(f329(f240(a1),f329(f329(f23(a1),x92471),x92472)),x92473))
% 192.24/192.22 [9248]~P1(f329(f329(f240(a1),f2(a1)),x92482))+~P1(f329(f329(f239(a1),x92481),x92483))+P1(f329(f329(f331(a1),f394(x92483,x92484,x92482,x92481)),f305(a1,f80(a1),x92482)))+P1(f329(f329(f239(a1),f329(f329(f23(a1),x92481),x92482)),x92483))
% 192.24/192.22 [9273]~P1(f329(f329(f240(a1),f2(a1)),x92733))+~P1(f329(f329(f239(a1),f2(a1)),x92734))+~P1(f329(f329(f240(a1),x92734),x92731))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92731),f46(a1,x92732,x92733))),x92734)))
% 192.24/192.22 [9304]E(x93041,x93042)+~P46(x93043,x93044)+~P1(f329(f329(f331(f916(x93043,x93043)),f329(f329(f257(x93043,x93043),x93042),x93041)),x93044))+~P1(f329(f329(f331(f916(x93043,x93043)),f329(f329(f257(x93043,x93043),x93041),x93042)),x93044))
% 192.24/192.22 [9338]~P104(x93381)+~P1(f329(f62(x93381),x93384))+~P1(f329(f329(f239(x93381),x93382),f654(x93383,x93382,x93384,x93381)))+P1(f329(f329(f239(x93381),f329(f329(f106(x93381),x93382),x93383)),f329(f329(f65(x93381,x93381,f106(x93381)),x93383),x93384)))
% 192.24/192.22 [9339]~P112(x93391)+~P1(f329(f62(x93391),x93394))+~P1(f329(f329(f239(x93391),x93392),f650(x93393,x93392,x93394,x93391)))+P1(f329(f329(f239(x93391),f329(f329(f237(x93391),x93392),x93393)),f329(f329(f65(x93391,x93391,f237(x93391)),x93393),x93394)))
% 192.24/192.22 [9353]~P1(f329(f329(f239(a1),x93534),f2(a1)))+~P1(f329(f329(f240(a1),f2(a1)),x93532))+~P1(f329(f329(f240(a1),x93531),x93534))+P1(f329(f329(f240(a1),f329(f329(f83(a1),x93531),x93532)),f329(f329(f82(a1),f329(f329(f83(a1),x93531),f46(a1,x93533,x93532))),x93534)))
% 192.24/192.22 [9376]P1(f329(f62(x93761),x93762))+~P1(f329(f62(x93761),x93763))+~P1(f329(f329(f331(f917(x93761,a904)),x93762),f329(f329(f61(x93761),x93763),x93764)))+~P1(f329(f329(f239(f917(f916(x93761,x93761),a904)),x93764),f329(f329(f259(x93761,x93761),x93763),f329(f16(f917(x93761,a904),x93761),x93763))))
% 192.24/192.22 [9400]~P112(x94001)+~P1(f329(f62(x94001),x94004))+P1(f329(f329(f331(x94001),f650(x94002,x94003,x94004,x94001)),x94004))+P1(f329(f329(f239(x94001),f329(f329(f237(x94001),x94003),x94002)),f329(f329(f65(x94001,x94001,f237(x94001)),x94002),x94004)))
% 192.24/192.22 [9401]~P104(x94011)+~P1(f329(f62(x94011),x94014))+P1(f329(f329(f331(x94011),f654(x94012,x94013,x94014,x94011)),x94014))+P1(f329(f329(f239(x94011),f329(f329(f106(x94011),x94013),x94012)),f329(f329(f65(x94011,x94011,f106(x94011)),x94012),x94014)))
% 192.24/192.22 [9412]~P47(f917(x94121,a904),f917(x94121,a904),x94123)+~P1(f329(f329(f331(x94121),x94122),x94124))+P1(f329(f329(f331(x94121),x94122),f101(f917(x94121,a904),x94123)))+~P1(f329(f329(f239(f917(x94121,a904)),x94124),f329(x94123,f329(f329(f115(f917(x94121,a904)),x94124),f101(f917(x94121,a904),x94123)))))
% 192.24/192.22 [9591]~P47(f917(x95913,a904),f917(x95913,a904),x95914)+P1(f329(x95911,x95912))+~P1(f329(f329(f331(x95913),x95912),f100(f917(x95913,a904),x95914)))+P1(f329(f329(f331(x95913),f479(x95911,x95914,x95912,x95913)),f329(x95914,f329(f329(f106(f917(x95913,a904)),f100(f917(x95913,a904),x95914)),f329(f267(x95913),x95911)))))
% 192.24/192.22 [9804]~P1(f329(f62(x98042),x98044))+~P1(f329(f62(x98041),x98043))+~P1(f329(f329(f239(a909),f329(f36(x98042),x98044)),f329(f36(x98041),x98043)))+P1(f329(f329(f239(f917(x98041,a904)),f329(f312(x98042,x98041,f526(x98043,x98041,x98044,x98042)),x98044)),x98043))
% 192.24/192.22 [9449]~P1(f329(f329(f331(x94491),x94492),x94494))+P1(f329(f329(f331(x94491),x94492),x94493))+~P1(f329(f329(f240(f917(x94491,a904)),x94494),f329(f329(f311(x94491),x94492),x94493)))+P1(f329(f329(f240(f917(x94491,a904)),f329(f329(f23(f917(x94491,a904)),x94494),f329(f329(f311(x94491),x94492),f191(f917(x94491,a904))))),x94493))
% 192.24/192.22 [9616]~P1(f329(f329(f331(x96161),x96162),x96164))+P1(f329(f329(f331(x96161),x96162),x96163))+P1(f329(f329(f240(f917(x96161,a904)),x96164),f329(f329(f311(x96161),x96162),x96163)))+~P1(f329(f329(f240(f917(x96161,a904)),f329(f329(f23(f917(x96161,a904)),x96164),f329(f329(f311(x96161),x96162),f191(f917(x96161,a904))))),x96163))
% 192.24/192.22 [9642]P1(f329(f329(f331(x96421),x96422),x96423))+~P1(f329(f329(f239(f917(x96421,a904)),x96424),x96423))+P1(f329(f329(f240(f917(x96421,a904)),x96424),f329(f329(f311(x96421),x96422),x96423)))+~P1(f329(f329(f240(f917(x96421,a904)),f329(f329(f23(f917(x96421,a904)),x96424),f329(f329(f311(x96421),x96422),f191(f917(x96421,a904))))),x96423))
% 192.24/192.22 [9647]~P1(f329(f329(f331(x96471),x96473),x96472))+~P1(f329(f329(f240(f917(x96471,a904)),x96472),x96474))+P1(f329(f329(f240(f917(x96471,a904)),x96472),f329(f329(f311(x96471),x96473),x96474)))+~P1(f329(f329(f240(f917(x96471,a904)),f329(f329(f23(f917(x96471,a904)),x96472),f329(f329(f311(x96471),x96473),f191(f917(x96471,a904))))),x96474))
% 192.24/192.22 [9662]~P1(f329(f329(f239(f917(x96621,a904)),x96622),x96624))+~P1(f329(f329(f240(f917(x96621,a904)),x96622),x96624))+P1(f329(f329(f240(f917(x96621,a904)),x96622),f329(f329(f311(x96621),x96623),x96624)))+~P1(f329(f329(f240(f917(x96621,a904)),f329(f329(f23(f917(x96621,a904)),x96622),f329(f329(f311(x96621),x96623),f191(f917(x96621,a904))))),x96624))
% 192.24/192.22 [9707]~P113(x97072)+~P69(x97071)+~P1(f329(f329(f239(f917(x97071,x97072)),x97073),x97074))+P1(f329(f58(x97071),f329(f329(f18(x97071,x97072,a904),f329(f329(f8(x97072,f917(x97072,a904),x97071),f239(x97072)),x97073)),x97074)))
% 192.24/192.22 [9852]~P113(x98522)+~P69(x98521)+P1(f329(f329(f239(f917(x98521,x98522)),x98523),x98524))+~P1(f329(f58(x98521),f329(f329(f18(x98521,x98522,a904),f329(f329(f8(x98522,f917(x98522,a904),x98521),f239(x98522)),x98523)),x98524)))
% 192.24/192.22 [10337]~P47(f917(x103371,a904),f917(x103371,a904),x103373)+~P1(f329(f329(f331(x103371),x103372),x103374))+P1(f329(f329(f331(x103371),x103372),f101(f917(x103371,a904),x103373)))+~P1(f329(f329(f239(f917(x103371,a904)),x103374),f329(x103373,f100(f917(x103371,a904),f329(f329(f7(f917(x103371,a904),f917(x103371,a904),f917(x103371,a904)),f329(f329(f8(f917(x103371,a904),f917(f917(x103371,a904),f917(x103371,a904)),f917(x103371,a904)),f115(f917(x103371,a904))),f329(f329(f7(f917(x103371,a904),f917(x103371,a904),f917(x103371,a904)),f329(f329(f8(f917(x103371,a904),f917(f917(x103371,a904),f917(x103371,a904)),f917(x103371,a904)),f115(f917(x103371,a904))),x103373)),x103374))),f101(f917(x103371,a904),x103373))))))
% 192.24/192.22 [10016]E(f329(f329(f167(x100161),f329(f329(f167(f910(x100161)),f182(x100161,x100162)),x100163)),x100164),f329(f329(f167(x100161),f329(f329(f167(f910(x100161)),x100162),x100164)),x100163))+~P1(f329(f329(f240(a909),x100163),f329(f192(f910(f910(x100161))),f182(x100161,x100162))))+~P19(a909,f329(f171(a909),f329(f329(f157(f910(x100161),a909),f192(f910(x100161))),x100162)))+~P1(f329(f329(f240(a909),x100164),f329(f192(f910(f910(x100161))),f329(f139(f910(x100161),f329(f329(f8(a909,a904,f910(x100161)),f329(f240(a909),x100163)),f192(f910(x100161)))),x100162))))
% 192.24/192.22 [10037]~P1(f329(f329(f331(f916(a909,a909)),x100374),x100371))+~P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),x100374),x100372)),a72))+~P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x100371),x100373)),a73))+P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x100371),f329(f329(f311(f916(a909,a909)),x100372),x100373))),a73))
% 192.24/192.22 [10038]~P1(f329(f329(f331(f916(a909,a909)),x100384),x100381))+~P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),x100384),x100382)),a34))+~P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x100381),x100383)),a70))+P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x100381),f329(f329(f311(f916(a909,a909)),x100382),x100383))),a70))
% 192.24/192.22 [9931]~P113(x99312)+~P69(x99311)+~P1(f329(f329(f240(f917(x99311,x99312)),x99313),x99314))+P1(f329(f57(x99311),f329(f329(f8(a904,a904,x99311),a324),f329(f329(f18(x99311,x99312,a904),f329(f329(f8(x99312,f917(x99312,a904),x99311),a326),x99313)),x99314))))
% 192.24/192.22 [10051]~P1(f329(f329(f331(f916(a909,a909)),x100514),x100513))+~P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),x100511),x100514)),a34))+~P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x100512),x100513)),a35))+P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),f329(f329(f311(f916(a909,a909)),x100511),x100512)),x100513)),a35))
% 192.24/192.22 [10052]~P1(f329(f329(f331(f916(a909,a909)),x100524),x100523))+~P1(f329(f329(f331(f916(f916(a909,a909),f916(a909,a909))),f329(f329(f257(f916(a909,a909),f916(a909,a909)),x100521),x100524)),a72))+~P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),x100522),x100523)),a71))+P1(f329(f329(f331(f916(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904))),f329(f329(f257(f917(f916(a909,a909),a904),f917(f916(a909,a909),a904)),f329(f329(f311(f916(a909,a909)),x100521),x100522)),x100523)),a71))
% 192.24/192.22 [6147]~P13(x61474,x61471)+~P1(f329(f329(x61471,x61472),x61475))+P1(f329(f329(x61471,x61472),x61473))+~P1(f329(f329(x61471,x61475),x61473))
% 192.24/192.22 [6148]~P58(x61484,x61481)+~P1(f329(f329(x61481,x61482),x61485))+P1(f329(f329(x61481,x61482),x61483))+~P1(f329(f329(x61481,x61485),x61483))
% 192.24/192.22 [6149]~P21(x61494,x61491)+~P1(f329(f329(x61491,x61492),x61495))+P1(f329(f329(x61491,x61492),x61493))+~P1(f329(f329(x61491,x61495),x61493))
% 192.24/192.22 [9696]~P45(x96961,x96964)+P1(f329(f329(f331(f916(f910(x96961),f910(x96961))),f329(f329(f257(f910(x96961),f910(x96961)),x96962),x96963)),f150(x96961,x96964)))+~P1(f329(f329(f331(f916(f910(x96961),f910(x96961))),f329(f329(f257(f910(x96961),f910(x96961)),x96962),x96965)),f150(x96961,x96964)))+~P1(f329(f329(f331(f916(f910(x96961),f910(x96961))),f329(f329(f257(f910(x96961),f910(x96961)),x96965),x96963)),f150(x96961,x96964)))
% 192.24/192.22 [5394]~P74(x53945)+E(x53941,x53942)+~E(x53943,x53944)+~E(f329(f329(f23(x53945),x53943),x53944),f329(f329(f23(x53945),x53941),x53942))
% 192.24/192.22 [6262]~P23(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))
% 192.24/192.22 [6449]~P87(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))
% 192.24/192.22 [6451]~P87(x64511)+~E(f329(f329(f23(x64511),x64514),x64515),f329(f329(f23(x64511),x64512),x64513))+~P1(f329(f329(f239(x64511),x64514),x64515))+P1(f329(f329(f239(x64511),x64512),x64513))
% 192.24/192.22 [7421]~E(x74212,f329(f329(f154(x74211),x74214),x74215))+P1(f329(f329(f331(f910(x74211)),x74212),f164(x74211,x74213)))+~P1(f329(f329(f331(f910(x74211)),x74215),f164(x74211,x74213)))+~P1(f329(f329(f331(x74211),x74214),x74213))
% 192.24/192.22 [7837]~E(f329(f192(f910(x78371)),x78373),f329(f192(f910(x78372)),x78374))+~E(f329(f329(f157(f916(x78371,x78372),x78372),f261(x78371,x78372)),x78375),x78374)+~E(f329(f329(f157(f916(x78371,x78372),x78371),f256(x78371,x78372)),x78375),x78373)+E(f329(f329(f184(x78371,x78372),x78373),x78374),x78375)
% 192.24/192.22 [8187]~P113(x81871)+P1(f329(f329(f240(f917(x81871,a904)),f305(x81871,x81872,x81873)),f305(x81871,x81874,x81875)))+~P1(f329(f329(f239(x81871),x81874),x81875))+P1(f329(f329(f239(x81871),x81872),x81873))
% 192.24/192.22 [8284]~P113(x82841)+P1(f329(f329(f239(f917(x82841,a904)),f305(x82841,x82842,x82843)),f305(x82841,x82844,x82845)))+~P1(f329(f329(f239(x82841),x82843),x82845))+~P1(f329(f329(f239(x82841),x82844),x82842))
% 192.24/192.22 [8404]~P112(x84041)+P1(f329(f329(f239(x84041),x84042),x84043))+P1(f329(f329(f239(x84041),x84044),x84043))+~P1(f329(f329(f239(f917(x84041,a904)),f329(f304(x84041,x84043),x84042)),f329(f304(x84041,x84044),x84045)))
% 192.24/192.22 [8405]~P112(x84051)+P1(f329(f329(f239(x84051),x84052),x84053))+P1(f329(f329(f239(x84051),x84052),x84054))+~P1(f329(f329(f239(f917(x84051,a904)),f329(f304(x84051,x84053),x84052)),f329(f304(x84051,x84055),x84054)))
% 192.24/192.22 [8577]~P104(x85773)+~P104(x85771)+~P47(x85773,x85771,x85772)+P1(f329(f329(f239(x85771),f329(x85772,f329(f329(f106(x85773),x85774),x85775))),f329(f329(f106(x85771),f329(x85772,x85774)),f329(x85772,x85775))))
% 192.24/192.22 [8578]~P104(x85781)+~P112(x85783)+~P47(x85783,x85781,x85782)+P1(f329(f329(f239(x85781),f329(x85782,f329(f329(f237(x85783),x85784),x85785))),f329(f329(f106(x85781),f329(x85782,x85784)),f329(x85782,x85785))))
% 192.24/192.22 [8653]~P113(x86531)+~P1(f329(f329(f240(f917(x86531,a904)),f305(x86531,x86534,x86532)),f305(x86531,x86535,x86533)))+P1(f329(f329(f239(x86531),x86532),x86533))+~P1(f329(f329(f239(x86531),x86534),x86532))
% 192.24/192.22 [8654]~P113(x86541)+~P1(f329(f329(f239(f917(x86541,a904)),f305(x86541,x86544,x86542)),f305(x86541,x86545,x86543)))+P1(f329(f329(f239(x86541),x86542),x86543))+~P1(f329(f329(f239(x86541),x86544),x86542))
% 192.24/192.22 [8655]~P113(x86551)+~P1(f329(f329(f240(f917(x86551,a904)),f305(x86551,x86553,x86554)),f305(x86551,x86552,x86555)))+P1(f329(f329(f239(x86551),x86552),x86553))+~P1(f329(f329(f239(x86551),x86553),x86554))
% 192.24/192.22 [8656]~P113(x86561)+~P1(f329(f329(f239(f917(x86561,a904)),f305(x86561,x86563,x86564)),f305(x86561,x86562,x86565)))+P1(f329(f329(f239(x86561),x86562),x86563))+~P1(f329(f329(f239(x86561),x86563),x86564))
% 192.24/192.22 [6095]~P112(x60955)+~P112(x60951)+~P47(x60955,x60951,x60952)+E(f329(f329(f237(x60951),f329(x60952,x60953)),f329(x60952,x60954)),f329(x60952,f329(f329(f237(x60955),x60953),x60954)))
% 192.24/192.22 [6096]~P112(x60965)+~P112(x60961)+~P47(x60965,x60961,x60962)+E(f329(f329(f238(x60961),f329(x60962,x60963)),f329(x60962,x60964)),f329(x60962,f329(f329(f238(x60965),x60963),x60964)))
% 192.24/192.22 [6146]~P23(x61462,x61465,x61463)+E(x61461,f191(f917(x61462,a904)))+~P1(f329(f62(x61462),x61461))+E(f329(x61463,f329(f329(f311(x61462),x61464),x61461)),f329(f329(x61465,x61464),f329(x61463,x61461)))
% 192.24/192.22 [6919]~E(x69191,x69192)+~E(f329(f329(f106(f917(x69193,a904)),x69194),x69195),f191(f917(x69193,a904)))+~P1(f329(f329(f331(x69193),x69192),x69195))+~P1(f329(f329(f331(x69193),x69191),x69194))
% 192.24/192.22 [6997]~P24(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))
% 192.24/192.22 [7065]~P77(x70652)+~P1(f329(f62(x70651),x70655))+E(f329(f329(f6(x70651,x70652),x70653),f329(f329(f311(x70651),x70654),x70655)),f329(f329(f82(x70652),f329(x70653,x70654)),f329(f329(f6(x70651,x70652),x70653),x70655)))+P1(f329(f329(f331(x70651),x70654),x70655))
% 192.24/192.22 [7067]~P80(x70672)+~P1(f329(f62(x70671),x70675))+E(f329(f329(f9(x70671,x70672),x70673),f329(f329(f311(x70671),x70674),x70675)),f329(f329(f83(x70672),f329(x70673,x70674)),f329(f329(f9(x70671,x70672),x70673),x70675)))+P1(f329(f329(f331(x70671),x70674),x70675))
% 192.24/192.22 [7581]~P24(x75812,x75815,x75811)+~P1(f329(f62(x75812),x75814))+E(f329(x75811,f329(f329(f311(x75812),x75813),x75814)),x75813)+~E(f329(f329(f23(f917(x75812,a904)),x75814),f329(f329(f311(x75812),x75813),f191(f917(x75812,a904)))),f191(f917(x75812,a904)))
% 192.24/192.22 [7892]~P1(f329(x78921,x78923))+~P1(f329(f329(f197(x78922),x78923),x78925))+~P1(f329(f329(f197(f31(x78921,x78922)),x78925),x78924))+P1(f329(f329(f197(f31(x78921,x78922)),x78923),x78924))
% 192.24/192.22 [7948]~P90(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)))
% 192.24/192.22 [7949]~P90(x79491)+~P1(f329(f329(f239(x79491),x79492),x79494))+~P1(f329(f329(f240(x79491),x79493),x79495))+P1(f329(f329(f240(x79491),f329(f329(f82(x79491),x79492),x79493)),f329(f329(f82(x79491),x79494),x79495)))
% 192.24/192.22 [7950]~P90(x79501)+~P1(f329(f329(f239(x79501),x79503),x79505))+~P1(f329(f329(f240(x79501),x79502),x79504))+P1(f329(f329(f240(x79501),f329(f329(f82(x79501),x79502),x79503)),f329(f329(f82(x79501),x79504),x79505)))
% 192.24/192.22 [7951]~P103(x79511)+~P1(f329(f329(f239(x79511),x79513),x79515))+~P1(f329(f329(f239(x79511),x79512),x79514))+P1(f329(f329(f239(x79511),f329(f329(f115(x79511),x79512),x79513)),f329(f329(f115(x79511),x79514),x79515)))
% 192.24/192.22 [7952]~P88(x79521)+~P1(f329(f329(f239(x79521),x79523),x79525))+~P1(f329(f329(f239(x79521),x79522),x79524))+P1(f329(f329(f239(x79521),f329(f329(f82(x79521),x79522),x79523)),f329(f329(f82(x79521),x79524),x79525)))
% 192.24/192.22 [7953]~P104(x79531)+~P1(f329(f329(f239(x79531),x79533),x79535))+~P1(f329(f329(f239(x79531),x79532),x79534))+P1(f329(f329(f239(x79531),f329(f329(f106(x79531),x79532),x79533)),f329(f329(f106(x79531),x79534),x79535)))
% 192.24/192.22 [7954]~P112(x79541)+~P1(f329(f329(f239(x79541),x79543),x79545))+~P1(f329(f329(f239(x79541),x79542),x79544))+P1(f329(f329(f239(x79541),f329(f329(f237(x79541),x79542),x79543)),f329(f329(f237(x79541),x79544),x79545)))
% 192.24/192.22 [7955]~P112(x79551)+~P1(f329(f329(f239(x79551),x79553),x79555))+~P1(f329(f329(f239(x79551),x79552),x79554))+P1(f329(f329(f239(x79551),f329(f329(f238(x79551),x79552),x79553)),f329(f329(f238(x79551),x79554),x79555)))
% 192.24/192.22 [8093]~P146(x80935)+E(x80931,x80932)+E(x80933,x80934)+~E(f329(f329(f82(x80935),f329(f329(f83(x80935),x80933),x80931)),f329(f329(f83(x80935),x80934),x80932)),f329(f329(f82(x80935),f329(f329(f83(x80935),x80933),x80932)),f329(f329(f83(x80935),x80934),x80931)))
% 192.24/192.22 [8241]P34(x82411,x82412,x82413)+~P35(x82411,x82414,x82415)+~P34(x82411,x82412,f573(x82415,x82414,x82411,x82412))+~P1(f329(f329(f331(f908(x82411)),x82413),x82415))
% 192.24/192.22 [8305]~P112(x83054)+~P1(f329(f140(x83051),x83053))+P1(f329(f329(f331(x83051),x83052),f329(f175(x83051),x83053)))+P1(f329(f140(x83051),f329(f329(f151(x83051,x83054,x83055),x83052),x83053)))
% 192.24/192.22 [8454]~P77(x84541)+E(f329(f329(f82(x84541),f329(f329(f6(a909,x84541),x84542),f329(f304(a909,x84543),x84544))),f329(f329(f6(a909,x84541),x84542),f329(f304(a909,x84544),x84545))),f329(f329(f6(a909,x84541),x84542),f329(f304(a909,x84543),x84545)))+~P1(f329(f329(f239(a909),x84544),x84545))+~P1(f329(f329(f239(a909),x84543),x84544))
% 192.24/192.22 [8455]~P74(x84551)+E(f329(f329(f23(x84551),f329(f329(f6(a909,x84551),x84552),f329(f304(a909,x84553),x84554))),f329(f329(f6(a909,x84551),x84552),f329(f304(a909,x84553),x84555))),f329(f329(f6(a909,x84551),x84552),f329(f304(a909,x84555),x84554)))+~P1(f329(f329(f239(a909),x84555),x84554))+~P1(f329(f329(f239(a909),x84553),x84555))
% 192.24/192.22 [8791]~P71(x87912)+E(x87911,f2(x87912))+E(x87913,f2(x87912))+E(f329(f329(f292(x87912),f329(f329(f82(x87912),f329(f329(f83(x87912),x87914),x87911)),f329(f329(f83(x87912),x87915),x87913))),f329(f329(f83(x87912),x87913),x87911)),f329(f329(f82(x87912),f329(f329(f292(x87912),x87914),x87913)),f329(f329(f292(x87912),x87915),x87911)))
% 192.24/192.22 [8792]~P71(x87922)+E(x87921,f2(x87922))+E(x87923,f2(x87922))+E(f329(f329(f292(x87922),f329(f329(f23(x87922),f329(f329(f83(x87922),x87924),x87921)),f329(f329(f83(x87922),x87925),x87923))),f329(f329(f83(x87922),x87923),x87921)),f329(f329(f23(x87922),f329(f329(f292(x87922),x87924),x87923)),f329(f329(f292(x87922),x87925),x87921)))
% 192.24/192.22 [8800]~E(x88002,f329(x88003,x88001))+E(x88001,f521(x88002,x88003,x88004,x88005))+~P31(x88005,x88004,x88003,f247(f917(x88005,a904)))+~P1(f329(f329(f331(x88004),x88002),f329(f312(x88005,x88004,x88003),f247(f917(x88005,a904)))))
% 192.24/192.22 [9003]~P120(x90031)+~P1(f329(f329(f240(x90031),f329(f77(x90031),x90032)),x90034))+P1(f329(f329(f240(x90031),f329(f329(f83(x90031),f329(f77(x90031),x90032)),f329(f77(x90031),x90033))),f329(f329(f83(x90031),x90034),x90035)))+~P1(f329(f329(f240(x90031),f329(f77(x90031),x90033)),x90035))
% 192.24/192.22 [9021]~P35(x90211,x90215,x90214)+P34(x90211,x90212,x90213)+P1(f329(f329(f331(f908(x90211)),f573(x90214,x90215,x90211,x90212)),x90215))+~P1(f329(f329(f331(f908(x90211)),x90213),x90214))
% 192.24/192.22 [9119]~P31(x91191,x91193,x91195,x91192)+~P1(f329(f62(x91193),x91194))+P1(f329(f329(f239(a909),f329(f36(x91191),x91192)),f329(f36(x91193),x91194)))+~P1(f329(f329(f239(f917(x91193,a904)),f329(f312(x91191,x91193,x91195),x91192)),x91194))
% 192.24/192.22 [9189]~P77(x91892)+~P31(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)))
% 192.24/192.22 [9190]~P80(x91902)+~P31(x91901,x91901,x91904,x91905)+~P1(f329(f62(x91901),x91905))+E(f329(f329(f9(x91901,x91902),f329(f74(x91901,x91902,x91901,x91903),x91904)),x91905),f329(f329(f9(x91901,x91902),x91903),f329(f312(x91901,x91901,x91904),x91905)))
% 192.24/192.22 [9317]~P44(x93171,x93172)+~P1(f329(f329(f331(x93171),x93173),x93174))+~P1(f329(f329(f331(x93171),x93175),x93174))+~P1(f329(f329(f331(f916(x93171,x93171)),f329(f329(f257(x93171,x93171),x93175),f645(x93172,x93171,x93174))),x93172))
% 192.24/192.22 [9352]~P31(x93522,x93523,x93525,x93521)+E(x93521,f191(f917(x93522,a904)))+E(f329(f312(x93523,x93522,f524(x93524,x93523,x93522,x93521)),x93524),x93521)+~P1(f329(f329(f239(f917(x93523,a904)),f329(f312(x93522,x93523,x93525),x93521)),x93524))
% 192.24/192.22 [9833]~P112(x98335)+~P11(x98335)+P1(f329(f329(f331(x98331),f440(x98332,x98333,x98331,x98334,x98335)),x98333))+~P1(f329(f329(f240(x98335),x98334),f329(f329(f40(x98331,x98335),x98333),x98332)))
% 192.24/192.22 [9838]~P112(x98381)+~P11(x98381)+P1(f329(f329(f240(x98381),x98382),f329(x98383,f440(x98383,x98384,x98385,x98382,x98381))))+~P1(f329(f329(f240(x98381),x98382),f329(f329(f40(x98385,x98381),x98384),x98383)))
% 192.24/192.22 [9916]~P75(x99161)+~P1(f329(f67(x99161,x99161,f83(x99161),x99162,x99163),x99165))+P1(f329(f329(f331(x99161),x99162),x99163))+P1(f329(f67(x99161,x99161,f83(x99161),x99164,f329(f329(f311(x99161),x99162),x99163)),f329(f329(f83(x99161),x99164),x99165)))
% 192.24/192.22 [10118]~P77(x101182)+~P1(f329(f62(x101181),x101185))+E(f329(f329(f6(x101181,x101182),f329(f329(f7(x101181,x101182,x101182),f329(f329(f18(x101181,x101182,f917(x101182,x101182)),f329(f329(f8(a904,f917(x101182,f917(x101182,x101182)),x101181),f99(x101182)),f329(a326,x101183))),x101184)),f2(x101182))),x101185),f2(x101182))+P1(f329(f329(f331(x101181),x101183),x101185))
% 192.24/192.22 [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,f917(x101192,x101192)),f329(f329(f8(a904,f917(x101192,f917(x101192,x101192)),x101191),f99(x101192)),f329(a326,x101193))),x101194)),f80(x101192))),x101195),f80(x101192))+P1(f329(f329(f331(x101191),x101193),x101195))
% 192.24/192.22 [10120]~P77(x101202)+~P1(f329(f62(x101201),x101205))+E(f329(f329(f6(x101201,x101202),f329(f329(f7(x101201,x101202,x101202),f329(f329(f18(x101201,x101202,f917(x101202,x101202)),f329(f329(f8(a904,f917(x101202,f917(x101202,x101202)),x101201),f99(x101202)),f329(a326,x101203))),x101204)),f2(x101202))),x101205),f329(x101204,x101203))+~P1(f329(f329(f331(x101201),x101203),x101205))
% 192.24/192.22 [10121]~P80(x101212)+~P1(f329(f62(x101211),x101215))+E(f329(f329(f9(x101211,x101212),f329(f329(f7(x101211,x101212,x101212),f329(f329(f18(x101211,x101212,f917(x101212,x101212)),f329(f329(f8(a904,f917(x101212,f917(x101212,x101212)),x101211),f99(x101212)),f329(a326,x101213))),x101214)),f80(x101212))),x101215),f329(x101214,x101213))+~P1(f329(f329(f331(x101211),x101213),x101215))
% 192.24/192.22 [10174]~P77(x101742)+~P1(f329(f62(x101741),x101745))+E(f329(f329(f6(x101741,x101742),f329(f329(f7(x101741,x101742,x101742),f329(f329(f18(x101741,x101742,f917(x101742,x101742)),f329(f329(f8(a904,f917(x101742,f917(x101742,x101742)),x101741),f99(x101742)),f329(f329(f7(x101741,x101741,a904),a326),x101743))),x101744)),f2(x101742))),x101745),f2(x101742))+P1(f329(f329(f331(x101741),x101743),x101745))
% 192.24/192.22 [10175]~P80(x101752)+~P1(f329(f62(x101751),x101755))+E(f329(f329(f9(x101751,x101752),f329(f329(f7(x101751,x101752,x101752),f329(f329(f18(x101751,x101752,f917(x101752,x101752)),f329(f329(f8(a904,f917(x101752,f917(x101752,x101752)),x101751),f99(x101752)),f329(f329(f7(x101751,x101751,a904),a326),x101753))),x101754)),f80(x101752))),x101755),f80(x101752))+P1(f329(f329(f331(x101751),x101753),x101755))
% 192.24/192.22 [10177]~P77(x101772)+~P1(f329(f62(x101771),x101775))+E(f329(f329(f6(x101771,x101772),f329(f329(f7(x101771,x101772,x101772),f329(f329(f18(x101771,x101772,f917(x101772,x101772)),f329(f329(f8(a904,f917(x101772,f917(x101772,x101772)),x101771),f99(x101772)),f329(f329(f7(x101771,x101771,a904),a326),x101773))),x101774)),f2(x101772))),x101775),f329(x101774,x101773))+~P1(f329(f329(f331(x101771),x101773),x101775))
% 192.24/192.22 [10178]~P80(x101782)+~P1(f329(f62(x101781),x101785))+E(f329(f329(f9(x101781,x101782),f329(f329(f7(x101781,x101782,x101782),f329(f329(f18(x101781,x101782,f917(x101782,x101782)),f329(f329(f8(a904,f917(x101782,f917(x101782,x101782)),x101781),f99(x101782)),f329(f329(f7(x101781,x101781,a904),a326),x101783))),x101784)),f80(x101782))),x101785),f329(x101784,x101783))+~P1(f329(f329(f331(x101781),x101783),x101785))
% 192.24/192.22 [7947]~P74(x79472)+~P1(f329(f62(x79471),x79474))+E(f329(f329(f6(x79471,x79472),x79473),f329(f329(f23(f917(x79471,a904)),x79474),f329(f329(f311(x79471),x79475),f191(f917(x79471,a904))))),f329(f329(f6(x79471,x79472),x79473),x79474))+P1(f329(f329(f331(x79471),x79475),x79474))
% 192.24/192.22 [8461]~P130(x84612)+~P1(f329(f62(x84611),x84614))+E(f329(f329(f6(x84611,x84612),x84613),f329(f329(f23(f917(x84611,a904)),x84614),f329(f329(f311(x84611),x84615),f191(f917(x84611,a904))))),f329(f329(f23(x84612),f329(f329(f6(x84611,x84612),x84613),x84614)),f329(x84613,x84615)))+~P1(f329(f329(f331(x84611),x84615),x84614))
% 192.24/192.22 [8462]~P74(x84622)+~P1(f329(f62(x84621),x84624))+E(f329(f329(f6(x84621,x84622),x84623),f329(f329(f23(f917(x84621,a904)),x84624),f329(f329(f311(x84621),x84625),f191(f917(x84621,a904))))),f329(f329(f23(x84622),f329(f329(f6(x84621,x84622),x84623),x84624)),f329(x84623,x84625)))+~P1(f329(f329(f331(x84621),x84625),x84624))
% 192.24/192.22 [8490]~P74(x84901)+~P1(f329(f62(x84902),x84904))+E(f329(f329(f23(x84901),f329(f329(f6(x84902,x84901),x84903),x84904)),f329(f329(f6(x84902,x84901),x84903),x84905)),f329(f329(f6(x84902,x84901),x84903),f329(f329(f23(f917(x84902,a904)),x84904),x84905)))+~P1(f329(f329(f239(f917(x84902,a904)),x84905),x84904))
% 192.24/192.22 [8510]P1(f329(f62(x85101),f329(x85102,x85103)))+~P1(f329(f62(x85104),x85105))+~P1(f329(f329(f331(x85104),x85103),x85105))+~P1(f329(f62(x85101),f329(f329(f40(x85104,f917(x85101,a904)),x85105),x85102)))
% 192.24/192.22 [8632]~P103(x86325)+~P103(x86321)+~P47(x86325,x86321,x86322)+P1(f329(f329(f239(x86321),f329(f329(f115(x86321),f329(x86322,x86323)),f329(x86322,x86324))),f329(x86322,f329(f329(f115(x86325),x86323),x86324))))
% 192.24/192.22 [8633]~P103(x86331)+~P112(x86335)+~P47(x86335,x86331,x86332)+P1(f329(f329(f239(x86331),f329(f329(f115(x86331),f329(x86332,x86333)),f329(x86332,x86334))),f329(x86332,f329(f329(f238(x86335),x86333),x86334))))
% 192.24/192.22 [8960]~P14(x89601,x89605,x89604)+~E(f329(f288(x89601,x89601,x89604),f329(f329(f311(x89601),x89602),f191(f917(x89601,a904)))),f329(f288(x89601,x89601,x89604),f329(f329(f311(x89601),x89603),f191(f917(x89601,a904)))))+~P1(f329(f329(f331(x89601),x89603),x89605))+P1(f329(f329(f331(f916(x89601,x89601)),f329(f329(f257(x89601,x89601),x89602),x89603)),x89604))
% 192.24/192.22 [9271]~P1(f329(x92711,x92715))+P1(f329(x92711,f867(x92711,x92712,x92713,x92714)))+P1(f329(x92711,f858(x92711,x92712,x92713,x92714)))+~P1(f329(f329(f331(x92714),x92715),f329(f329(f115(f917(x92714,a904)),x92713),x92712)))
% 192.24/192.22 [9454]~P1(f329(x94541,x94545))+P1(f329(x94541,f858(x94541,x94542,x94543,x94544)))+P1(f329(f329(f331(x94544),f867(x94541,x94542,x94543,x94544)),x94542))+~P1(f329(f329(f331(x94544),x94545),f329(f329(f115(f917(x94544,a904)),x94543),x94542)))
% 192.24/192.22 [9455]~P1(f329(x94551,x94555))+P1(f329(x94551,f867(x94551,x94552,x94553,x94554)))+P1(f329(f329(f331(x94554),f858(x94551,x94552,x94553,x94554)),x94553))+~P1(f329(f329(f331(x94554),x94555),f329(f329(f115(f917(x94554,a904)),x94553),x94552)))
% 192.24/192.22 [9459]P1(f329(x94591,x94592))+~P1(f329(x94591,f785(x94591,x94593,x94594,x94595)))+~P1(f329(x94591,f667(x94591,x94593,x94594,x94595)))+~P1(f329(f329(f331(x94595),x94592),f329(f329(f115(f917(x94595,a904)),x94594),x94593)))
% 192.24/192.22 [9464]~P45(x94641,x94644)+~P1(f329(f329(f331(f916(x94641,x94641)),f329(f329(f257(x94641,x94641),x94642),x94645)),x94644))+P1(f329(f329(f331(f916(x94641,x94641)),f329(f329(f257(x94641,x94641),x94642),x94643)),x94644))+~P1(f329(f329(f331(f916(x94641,x94641)),f329(f329(f257(x94641,x94641),x94645),x94643)),x94644))
% 192.24/192.22 [9502]E(x95021,x95022)+~P1(f329(f329(f331(f916(x95023,x95023)),f329(f329(f257(x95023,x95023),x95021),x95022)),f309(x95023,x95025)))+P1(f329(f329(f331(x95023),x95021),x95024))+~P1(f329(f329(f239(f917(f916(x95023,x95023),a904)),x95025),f329(f329(f259(x95023,x95023),x95024),f329(f16(f917(x95023,a904),x95023),x95024))))
% 192.24/192.22 [9520]P1(f329(x95201,x95202))+~P1(f329(x95201,f667(x95201,x95204,x95205,x95203)))+P1(f329(f329(f331(x95203),f785(x95201,x95204,x95205,x95203)),x95204))+~P1(f329(f329(f331(x95203),x95202),f329(f329(f115(f917(x95203,a904)),x95205),x95204)))
% 192.24/192.22 [9521]P1(f329(x95211,x95212))+~P1(f329(x95211,f785(x95211,x95214,x95215,x95213)))+P1(f329(f329(f331(x95213),f667(x95211,x95214,x95215,x95213)),x95215))+~P1(f329(f329(f331(x95213),x95212),f329(f329(f115(f917(x95213,a904)),x95215),x95214)))
% 192.24/192.22 [9587]P1(f329(x95871,x95872))+P1(f329(f329(f331(x95873),f785(x95871,x95874,x95875,x95873)),x95874))+P1(f329(f329(f331(x95873),f667(x95871,x95874,x95875,x95873)),x95875))+~P1(f329(f329(f331(x95873),x95872),f329(f329(f115(f917(x95873,a904)),x95875),x95874)))
% 192.24/192.22 [9589]~P1(f329(x95892,x95895))+P1(f329(f329(f331(x95891),f867(x95892,x95893,x95894,x95891)),x95893))+P1(f329(f329(f331(x95891),f858(x95892,x95893,x95894,x95891)),x95894))+~P1(f329(f329(f331(x95891),x95895),f329(f329(f115(f917(x95891,a904)),x95894),x95893)))
% 192.24/192.22 [9739]~P14(x97391,x97395,x97394)+~P1(f329(f329(f331(x97391),x97393),x97395))+P1(f329(f329(f331(f916(x97391,x97391)),f329(f329(f257(x97391,x97391),x97392),x97393)),x97394))+~P1(f329(f329(f239(f917(x97391,a904)),f329(f288(x97391,x97391,x97394),f329(f329(f311(x97391),x97393),f191(f917(x97391,a904))))),f329(f288(x97391,x97391,x97394),f329(f329(f311(x97391),x97392),f191(f917(x97391,a904))))))
% 192.24/192.22 [9866]~P112(x98665)+~P11(x98665)+P1(f329(f329(f331(x98661),f633(x98662,x98663,x98664,x98661,x98665)),x98664))+~P1(f329(f329(f240(x98665),f329(f329(f41(x98661,x98665),x98664),x98663)),x98662))
% 192.24/192.22 [9899]~P4(x98995)+~P88(x98995)+P1(f329(f329(f331(x98991),f718(x98992,x98993,x98994,x98991,x98995)),f329(f175(x98991),x98994)))+P1(f329(f329(f239(x98995),f329(f168(x98995),f329(f329(f157(x98991,x98995),x98993),x98994))),f329(f168(x98995),f329(f329(f157(x98991,x98995),x98992),x98994))))
% 192.24/192.22 [10006]~P112(x100061)+~P11(x100061)+P1(f329(f329(f240(x100061),f329(x100062,f633(x100063,x100062,x100064,x100065,x100061))),x100063))+~P1(f329(f329(f240(x100061),f329(f329(f41(x100065,x100061),x100064),x100062)),x100063))
% 192.24/192.22 [10136]~P4(x101361)+~P88(x101361)+~P1(f329(f329(f239(x101361),f329(x101363,f718(x101365,x101363,x101364,x101362,x101361))),f329(x101365,f718(x101365,x101363,x101364,x101362,x101361))))+P1(f329(f329(f239(x101361),f329(f168(x101361),f329(f329(f157(x101362,x101361),x101363),x101364))),f329(f168(x101361),f329(f329(f157(x101362,x101361),x101365),x101364))))
% 192.24/192.22 [8808]~P77(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(f917(x88084,a904)),x88085),f329(f329(f311(x88084),x88083),f191(f917(x88084,a904)))))),f329(f329(f6(x88084,x88081),x88082),x88085))
% 192.24/192.22 [8809]~P80(x88091)+~P1(f329(f62(x88094),x88095))+~P1(f329(f329(f331(x88094),x88093),x88095))+E(f329(f329(f83(x88091),f329(x88092,x88093)),f329(f329(f9(x88094,x88091),x88092),f329(f329(f23(f917(x88094,a904)),x88095),f329(f329(f311(x88094),x88093),f191(f917(x88094,a904)))))),f329(f329(f9(x88094,x88091),x88092),x88095))
% 192.24/192.22 [8865]~P24(x88651,x88654,x88655)+~P1(f329(f62(x88651),x88652))+E(f329(f329(f23(f917(x88651,a904)),x88652),f329(f329(f311(x88651),x88653),f191(f917(x88651,a904)))),f191(f917(x88651,a904)))+E(f329(f329(x88654,x88653),f329(x88655,f329(f329(f23(f917(x88651,a904)),x88652),f329(f329(f311(x88651),x88653),f191(f917(x88651,a904)))))),f329(x88655,f329(f329(f311(x88651),x88653),x88652)))
% 192.24/192.22 [9242]~P77(x92421)+~P1(f329(f62(x92422),x92425))+~P1(f329(f62(x92422),x92424))+E(f329(f329(f82(x92421),f329(f329(f6(x92422,x92421),x92423),f329(f329(f115(f917(x92422,a904)),x92424),x92425))),f329(f329(f6(x92422,x92421),x92423),f329(f329(f106(f917(x92422,a904)),x92424),x92425))),f329(f329(f82(x92421),f329(f329(f6(x92422,x92421),x92423),x92424)),f329(f329(f6(x92422,x92421),x92423),x92425)))
% 192.24/192.22 [9244]~P80(x92441)+~P1(f329(f62(x92442),x92445))+~P1(f329(f62(x92442),x92444))+E(f329(f329(f83(x92441),f329(f329(f9(x92442,x92441),x92443),f329(f329(f115(f917(x92442,a904)),x92444),x92445))),f329(f329(f9(x92442,x92441),x92443),f329(f329(f106(f917(x92442,a904)),x92444),x92445))),f329(f329(f83(x92441),f329(f329(f9(x92442,x92441),x92443),x92444)),f329(f329(f9(x92442,x92441),x92443),x92445)))
% 192.24/192.22 [9389]~P74(x93891)+~P1(f329(f62(x93892),x93895))+~P1(f329(f62(x93892),x93894))+E(f329(f329(f23(x93891),f329(f329(f82(x93891),f329(f329(f6(x93892,x93891),x93893),x93894)),f329(f329(f6(x93892,x93891),x93893),x93895))),f329(f329(f6(x93892,x93891),x93893),f329(f329(f106(f917(x93892,a904)),x93894),x93895))),f329(f329(f6(x93892,x93891),x93893),f329(f329(f115(f917(x93892,a904)),x93894),x93895)))
% 192.24/192.22 [9600]~P31(x96001,x96002,x96003,x96005)+~P31(x96001,x96002,x96003,x96004)+P31(x96001,x96002,x96003,f329(f329(f115(f917(x96001,a904)),x96004),x96005))+~E(f329(f329(f106(f917(x96002,a904)),f329(f312(x96001,x96002,x96003),f329(f329(f23(f917(x96001,a904)),x96004),x96005))),f329(f312(x96001,x96002,x96003),f329(f329(f23(f917(x96001,a904)),x96005),x96004))),f191(f917(x96002,a904)))
% 192.24/192.22 [9713]E(x97131,f2(a1))+~P1(f329(f329(f240(a1),f2(a1)),x97133))+~P1(f329(f50(x97132,x97131),f329(f329(f257(a1,a1),x97134),x97135)))+P1(f329(f50(x97132,f329(f329(f83(a1),x97131),x97133)),f329(f329(f257(a1,a1),f329(f329(f37(a1),x97134),x97133)),f329(f329(f82(a1),f329(f329(f83(a1),x97131),f46(a1,x97134,x97133))),x97135))))
% 192.24/192.22 [9721]~P1(f329(f329(f240(a909),f2(a909)),x97213))+~P1(f329(f329(f240(a909),f2(a909)),x97212))+~P1(f329(f49(x97211,x97212),f329(f329(f257(a909,a909),x97214),x97215)))+P1(f329(f49(x97211,f329(f329(f83(a909),x97212),x97213)),f329(f329(f257(a909,a909),f329(f329(f37(a909),x97214),x97213)),f329(f329(f82(a909),f329(f329(f83(a909),x97212),f46(a909,x97214,x97213))),x97215))))
% 192.24/192.22 [9772]~P80(x97721)+~P1(f329(f62(x97722),x97725))+~P1(f329(f62(x97722),x97724))+E(f329(f329(f83(x97721),f329(f329(f329(f66(x97721,x97722,f83(x97721)),x97723),f80(x97721)),f329(f329(f115(f917(x97722,a904)),x97724),x97725))),f329(f329(f329(f66(x97721,x97722,f83(x97721)),x97723),f80(x97721)),f329(f329(f106(f917(x97722,a904)),x97724),x97725))),f329(f329(f83(x97721),f329(f329(f329(f66(x97721,x97722,f83(x97721)),x97723),f80(x97721)),x97724)),f329(f329(f329(f66(x97721,x97722,f83(x97721)),x97723),f80(x97721)),x97725)))
% 192.24/192.22 [9774]~E(f329(f329(f178(x97741),x97745),x97742),f329(f329(f178(x97741),x97745),x97743))+P1(f329(f329(f331(f916(f910(x97741),f910(x97741))),f329(f329(f257(f910(x97741),f910(x97741)),x97742),x97743)),f150(x97741,x97744)))+~P1(f329(f329(f240(a909),x97745),f329(f329(f237(a909),f329(f192(f910(x97741)),x97742)),f329(f192(f910(x97741)),x97743))))+~P1(f329(f329(f331(f916(x97741,x97741)),f329(f329(f257(x97741,x97741),f329(f329(f167(x97741),x97742),x97745)),f329(f329(f167(x97741),x97743),x97745))),x97744))
% 192.24/192.22 [9888]~P109(x98885)+~P88(x98885)+P1(f329(f329(f331(x98881),f902(x98882,x98883,x98884,x98881,x98885)),x98884))+P1(f329(f329(f239(x98885),f329(f329(f6(x98881,x98885),x98883),x98884)),f329(f329(f83(x98885),f329(f105(x98885),f329(f36(x98881),x98884))),x98882)))
% 192.24/192.22 [10065]~P109(x100651)+~P88(x100651)+~P1(f329(f329(f239(x100651),f329(x100653,f902(x100655,x100653,x100654,x100652,x100651))),x100655))+P1(f329(f329(f239(x100651),f329(f329(f6(x100652,x100651),x100653),x100654)),f329(f329(f83(x100651),f329(f105(x100651),f329(f36(x100652),x100654))),x100655)))
% 192.24/192.22 [8837]E(f329(f329(f137(x88371),x88372),x88373),f329(f329(f137(x88371),x88374),x88375))+~E(f329(f329(f178(x88371),f329(f192(f910(x88371)),x88372)),x88374),x88372)+~E(f329(f329(f137(x88371),f329(f329(f141(x88371),f329(f192(f910(x88371)),x88372)),x88374)),x88375),x88373)+P1(f329(f329(f239(a909),f329(f192(f910(x88371)),x88374)),f329(f192(f910(x88371)),x88372)))
% 192.24/192.22 [8959]E(f329(f329(f137(x89591),x89592),x89593),f329(f329(f137(x89591),x89594),x89595))+~E(f329(f329(f178(x89591),f329(f192(f910(x89591)),x89592)),x89594),x89592)+~E(x89593,f329(f329(f137(x89591),f329(f329(f141(x89591),f329(f192(f910(x89591)),x89592)),x89594)),x89595))+~P1(f329(f329(f239(a909),f329(f192(f910(x89591)),x89592)),f329(f192(f910(x89591)),x89594)))
% 192.24/192.22 [10197]~P1(f329(x101975,x101974))+~P1(f329(f62(x101972),f329(f267(x101972),x101975)))+P1(f329(f62(x101971),f329(f267(x101971),f329(f329(f7(x101971,x101972,a904),x101973),x101974))))+~P1(f329(f62(x101971),f329(f267(x101971),f329(f329(f8(f917(x101972,a904),a904,x101971),f89(x101972)),f329(f329(f8(f917(x101972,a904),f917(x101972,a904),x101971),f329(f18(x101972,a904,a904),f329(f329(f8(a904,f917(a904,a904),x101972),a327),x101975))),x101973)))))
% 192.24/192.22 [10268]~P1(f329(f62(x102682),x102685))+~P1(f329(f329(f331(x102682),x102684),x102685))+P1(f329(f62(x102681),f329(f267(x102681),f329(f329(f7(x102681,x102682,a904),x102683),x102684))))+~P1(f329(f62(x102681),f329(f267(x102681),f329(f329(f8(f917(x102682,a904),a904,x102681),f89(x102682)),f329(f329(f8(f917(x102682,a904),f917(x102682,a904),x102681),f329(f18(x102682,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102682),a327),f329(f329(f7(x102682,f917(x102682,a904),a904),f331(x102682)),x102685)))),x102683)))))
% 192.24/192.22 [8097]~P49(x80972,x80973,x80974,x80976)+~P49(f31(x80971,x80972),x80976,x80974,x80975)+P49(f31(x80971,x80972),x80973,x80974,x80975)+~P1(f329(x80971,x80973))
% 192.24/192.22 [8630]~P25(x86305,x86301,x86306,x86302)+E(f329(f74(x86301,x86301,x86301,f329(x86302,x86303)),f329(x86302,x86304)),f329(f74(x86301,x86301,x86301,f329(x86302,x86304)),f329(x86302,x86303)))+~P1(f329(f62(x86305),x86304))+~P1(f329(f62(x86305),x86303))
% 192.24/192.22 [8003]~P31(x80031,x80032,x80034,x80033)+~E(f329(x80034,x80036),x80035)+E(f329(f79(x80031,x80032,x80033,x80034),x80035),x80036)+~P1(f329(f329(f331(x80031),x80036),x80033))
% 192.24/192.22 [8004]~P31(x80041,x80042,x80044,x80043)+~E(f329(x80044,x80046),x80045)+E(f329(f94(x80041,x80042,x80043,x80044),x80045),x80046)+~P1(f329(f329(f331(x80041),x80046),x80043))
% 192.24/192.22 [8208]~P26(x82086,x82081,x82084,x82082)+E(f329(f74(x82081,x82081,x82081,f329(x82082,x82083)),f329(x82084,x82085)),f329(x82082,x82083))+~P1(f329(f62(x82086),x82083))+~P1(f329(f329(f331(x82086),x82085),x82083))
% 192.24/192.22 [9344]E(x93441,x93442)+~E(f329(f94(x93443,x93444,x93445,x93446),x93441),f329(f94(x93443,x93444,x93445,x93446),x93442))+~P1(f329(f329(f331(x93444),x93442),f329(f312(x93443,x93444,x93446),x93445)))+~P1(f329(f329(f331(x93444),x93441),f329(f312(x93443,x93444,x93446),x93445)))
% 192.24/192.22 [9438]~P25(x94383,x94381,x94386,x94382)+E(f329(f74(x94381,x94381,x94381,f329(x94382,f329(f329(f23(f917(x94383,a904)),x94384),f329(f329(f311(x94383),x94385),f191(f917(x94383,a904)))))),f329(x94386,x94385)),f329(x94382,x94384))+~P1(f329(f62(x94383),x94384))+~P1(f329(f329(f331(x94383),x94385),x94384))
% 192.24/192.22 [7070]~P9(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))
% 192.24/192.22 [7071]~P10(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))
% 192.24/192.22 [7072]~P9(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))
% 192.24/192.22 [7893]~P22(x78931,x78932,x78933)+~P1(f329(f62(x78931),x78936))+E(f329(f329(f65(x78931,x78932,x78933),x78934),f329(f329(f311(x78931),x78935),x78936)),f329(f329(f65(x78931,x78932,x78933),f329(f329(x78933,x78935),x78934)),x78936))+P1(f329(f329(f331(x78931),x78935),x78936))
% 192.24/192.22 [7962]~P11(x79621)+P1(f329(f329(f239(x79621),x79622),f329(x79623,x79624)))+~P1(f329(f329(f331(x79625),x79624),x79626))+~P1(f329(f329(f239(x79621),x79622),f329(f329(f41(x79625,x79621),x79626),x79623)))
% 192.24/192.22 [8125]~P22(x81251,x81252,x81253)+~P1(f329(f62(x81251),x81256))+E(f329(f329(f65(x81251,x81252,x81253),x81254),f329(f329(f311(x81251),x81255),x81256)),f329(f329(x81253,x81255),f329(f329(f65(x81251,x81252,x81253),x81254),x81256)))+P1(f329(f329(f331(x81251),x81255),x81256))
% 192.24/192.22 [8226]~P112(x82263)+~P1(f329(x82262,x82265))+~P19(x82263,f329(f329(f157(x82261,x82263),x82264),x82266))+E(f329(f139(x82261,x82262),f329(f329(f151(x82261,x82263,x82264),x82265),x82266)),f329(f329(f151(x82261,x82263,x82264),x82265),f329(f139(x82261,x82262),x82266)))
% 192.24/192.22 [8249]E(x82491,x82492)+E(x82493,f2(a1))+~P1(f329(f50(x82494,x82493),f329(f329(f257(a1,a1),x82495),x82492)))+~P1(f329(f50(x82494,x82493),f329(f329(f257(a1,a1),x82496),x82491)))
% 192.24/192.22 [8250]E(x82501,x82502)+E(x82503,f2(a1))+~P1(f329(f50(x82504,x82503),f329(f329(f257(a1,a1),x82502),x82505)))+~P1(f329(f50(x82504,x82503),f329(f329(f257(a1,a1),x82501),x82506)))
% 192.24/192.22 [8269]~P25(x82692,x82695,x82696,x82691)+~P1(f329(f62(x82692),x82694))+E(f329(x82691,f329(f329(f311(x82692),x82693),x82694)),f329(f74(x82695,x82695,x82695,f329(x82691,x82694)),f329(x82696,x82693)))+P1(f329(f329(f331(x82692),x82693),x82694))
% 192.24/192.22 [8493]~P26(x84935,x84931,x84936,x84932)+E(f329(f74(x84931,x84931,x84931,f329(x84932,x84933)),f329(x84932,x84934)),f329(x84932,x84933))+~P1(f329(f62(x84935),x84933))+~P1(f329(f329(f239(f917(x84935,a904)),x84934),x84933))
% 192.24/192.22 [9644]~P31(x96441,x96442,x96444,x96443)+~P1(f329(f329(f331(x96442),x96445),f329(f312(x96441,x96442,x96444),x96443)))+P1(f329(f329(f331(x96441),f329(f79(x96441,x96442,x96443,x96444),x96445)),x96446))+~P1(f329(f329(f239(f917(x96441,a904)),x96443),x96446))
% 192.24/192.22 [10017]~P77(x100172)+~E(f874(x100171,x100173,x100175,x100176,x100174,x100172),f875(x100171,x100173,x100175,x100176,x100174,x100172))+~P1(f329(f62(x100174),x100176))+E(f329(f329(f6(x100171,x100172),x100173),f329(f312(x100174,x100171,x100175),x100176)),f329(f329(f6(x100174,x100172),f329(f74(x100171,x100172,x100174,x100173),x100175)),x100176))
% 192.24/192.22 [10047]~P77(x100476)+E(f329(x100471,f874(x100472,x100473,x100471,x100474,x100475,x100476)),f329(x100471,f875(x100472,x100473,x100471,x100474,x100475,x100476)))+E(f329(f329(f6(x100472,x100476),x100473),f329(f312(x100475,x100472,x100471),x100474)),f329(f329(f6(x100475,x100476),f329(f74(x100472,x100476,x100475,x100473),x100471)),x100474))+~P1(f329(f62(x100475),x100474))
% 192.24/192.22 [10086]~P77(x100862)+~E(f329(x100863,f329(x100865,f875(x100861,x100863,x100865,x100866,x100864,x100862))),f2(x100862))+~P1(f329(f62(x100864),x100866))+E(f329(f329(f6(x100861,x100862),x100863),f329(f312(x100864,x100861,x100865),x100866)),f329(f329(f6(x100864,x100862),f329(f74(x100861,x100862,x100864,x100863),x100865)),x100866))
% 192.24/192.22 [10144]~P77(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),f875(x101441,x101443,x101445,x101446,x101444,x101442)),x101446))
% 192.24/192.22 [10145]~P77(x101452)+~P1(f329(f62(x101454),x101456))+E(f329(f329(f6(x101451,x101452),x101453),f329(f312(x101454,x101451,x101455),x101456)),f329(f329(f6(x101454,x101452),f329(f74(x101451,x101452,x101454,x101453),x101455)),x101456))+P1(f329(f329(f331(x101454),f874(x101451,x101453,x101455,x101456,x101454,x101452)),x101456))
% 192.24/192.22 [10222]~P47(f917(f916(x102224,x102225),a904),f917(f916(x102224,x102225),a904),x102226)+~P1(f329(f329(x102221,f507(x102221,x102226,x102223,x102222,x102225,x102224)),f508(x102221,x102226,x102223,x102222,x102225,x102224)))+P1(f329(f329(x102221,x102222),x102223))+~P1(f329(f329(f331(f916(x102224,x102225)),f329(f329(f257(x102224,x102225),x102222),x102223)),f100(f917(f916(x102224,x102225),a904),x102226)))
% 192.24/192.22 [10267]~P80(x102671)+~P1(f329(f62(x102672),x102676))+E(f329(f329(f329(f66(x102671,x102672,f83(x102671)),f329(f329(f18(x102672,f917(x102673,a904),x102671),f329(f329(f7(x102672,x102671,f917(f917(x102673,a904),x102671)),f329(f329(f8(f917(x102673,x102671),f917(x102671,f917(f917(x102673,a904),x102671)),x102672),f66(x102671,x102673,f83(x102671))),x102674)),f80(x102671))),x102675)),f80(x102671)),x102676),f329(f329(f329(f66(x102671,f916(x102672,x102673),f83(x102671)),f329(f262(x102672,x102673,x102671),x102674)),f80(x102671)),f329(f329(f259(x102672,x102673),x102676),x102675)))+P1(f329(f329(f331(x102672),f548(x102674,x102675,x102673,x102676,x102672,x102671)),x102676))
% 192.24/192.22 [10288]~P80(x102881)+~P1(f329(f62(x102882),x102886))+E(f329(f329(f329(f66(x102881,x102882,f83(x102881)),f329(f329(f18(x102882,f917(x102883,a904),x102881),f329(f329(f7(x102882,x102881,f917(f917(x102883,a904),x102881)),f329(f329(f8(f917(x102883,x102881),f917(x102881,f917(f917(x102883,a904),x102881)),x102882),f66(x102881,x102883,f83(x102881))),x102884)),f80(x102881))),x102885)),f80(x102881)),x102886),f329(f329(f329(f66(x102881,f916(x102882,x102883),f83(x102881)),f329(f262(x102882,x102883,x102881),x102884)),f80(x102881)),f329(f329(f259(x102882,x102883),x102886),x102885)))+~P1(f329(f62(x102883),f329(x102885,f548(x102884,x102885,x102883,x102886,x102882,x102881))))
% 192.24/192.22 [8403]~P26(x84032,x84035,x84036,x84031)+~P1(f329(f62(x84032),x84034))+~P1(f329(f62(x84032),x84033))+E(f329(x84031,f329(f329(f115(f917(x84032,a904)),x84033),x84034)),f329(f74(x84035,x84035,x84035,f329(x84031,x84033)),f329(x84031,x84034)))
% 192.24/192.22 [8631]~P11(x86311)+P1(f329(f329(f239(x86311),f329(x86312,x86313)),x86314))+~P1(f329(f329(f331(x86315),x86313),x86316))+~P1(f329(f329(f239(x86311),f329(f329(f40(x86315,x86311),x86316),x86312)),x86314))
% 192.24/192.22 [9047]~P31(x90472,x90471,x90473,x90476)+E(f329(f329(f23(f917(x90471,a904)),f329(f312(x90472,x90471,x90473),x90474)),f329(f312(x90472,x90471,x90473),x90475)),f329(f312(x90472,x90471,x90473),f329(f329(f23(f917(x90472,a904)),x90474),x90475)))+~P1(f329(f329(f239(f917(x90472,a904)),x90475),x90476))+~P1(f329(f329(f239(f917(x90472,a904)),x90474),x90476))
% 192.24/192.22 [9048]~P31(x90482,x90481,x90483,x90486)+E(f329(f329(f106(f917(x90481,a904)),f329(f312(x90482,x90481,x90483),x90484)),f329(f312(x90482,x90481,x90483),x90485)),f329(f312(x90482,x90481,x90483),f329(f329(f106(f917(x90482,a904)),x90484),x90485)))+~P1(f329(f329(f239(f917(x90482,a904)),x90485),x90486))+~P1(f329(f329(f239(f917(x90482,a904)),x90484),x90486))
% 192.24/192.22 [9319]E(x93191,x93192)+~P63(x93193,x93194,x93195)+~P1(f329(f329(f331(f916(x93193,x93194)),f329(f329(f257(x93193,x93194),x93196),x93192)),x93195))+~P1(f329(f329(f331(f916(x93193,x93194)),f329(f329(f257(x93193,x93194),x93196),x93191)),x93195))
% 192.24/192.22 [10082]~P75(x100821)+~E(f329(x100823,f482(x100824,x100826,x100823,x100825,x100822,x100821)),f329(x100826,f482(x100824,x100826,x100823,x100825,x100822,x100821)))+~P1(f329(f62(x100822),x100825))+E(f329(f329(f329(f66(x100821,x100822,f83(x100821)),x100823),x100824),x100825),f329(f329(f329(f66(x100821,x100822,f83(x100821)),x100826),x100824),x100825))
% 192.24/192.22 [10142]~P75(x101421)+~P1(f329(f62(x101422),x101425))+E(f329(f329(f329(f66(x101421,x101422,f83(x101421)),x101423),x101424),x101425),f329(f329(f329(f66(x101421,x101422,f83(x101421)),x101426),x101424),x101425))+P1(f329(f329(f331(x101422),f482(x101424,x101423,x101426,x101425,x101422,x101421)),x101425))
% 192.24/192.22 [8850]~P75(x88501)+~P1(f329(f62(x88502),x88506))+P1(f329(f329(f331(x88502),x88505),x88506))+E(f329(f329(f329(f66(x88501,x88502,f83(x88501)),x88503),x88504),f329(f329(f311(x88502),x88505),x88506)),f329(f329(f83(x88501),f329(x88503,x88505)),f329(f329(f329(f66(x88501,x88502,f83(x88501)),x88503),x88504),x88506)))
% 192.24/192.22 [8898]~P14(x88981,x88986,x88983)+~P17(x88981,f917(x88982,a904),x88983,x88985)+~P1(f329(f329(f331(x88981),x88984),x88986))+E(f329(f329(f40(x88981,f917(x88982,a904)),f329(f288(x88981,x88981,x88983),f329(f329(f311(x88981),x88984),f191(f917(x88981,a904))))),x88985),f329(x88985,x88984))
% 192.24/192.22 [9022]~P22(x90223,x90224,x90221)+~P1(f329(f62(x90223),x90226))+~P1(f329(f329(f331(x90223),x90222),x90226))+E(f329(f329(x90221,x90222),f329(f329(f65(x90223,x90224,x90221),x90225),f329(f329(f23(f917(x90223,a904)),x90226),f329(f329(f311(x90223),x90222),f191(f917(x90223,a904)))))),f329(f329(f65(x90223,x90224,x90221),x90225),x90226))
% 192.24/192.22 [9330]~P25(x93303,x93301,x93306,x93302)+~P1(f329(f62(x93303),x93305))+~P1(f329(f62(x93303),x93304))+E(f329(f74(x93301,x93301,x93301,f329(x93302,f329(f329(f115(f917(x93303,a904)),x93304),x93305))),f329(x93302,f329(f329(f106(f917(x93303,a904)),x93304),x93305))),f329(f74(x93301,x93301,x93301,f329(x93302,x93304)),f329(x93302,x93305)))
% 192.24/192.22 [10296]~P47(f917(f916(x102964,x102965),a904),f917(f916(x102964,x102965),a904),x102966)+P1(f329(f329(x102961,x102962),x102963))+~P1(f329(f329(f331(f916(x102964,x102965)),f329(f329(f257(x102964,x102965),x102962),x102963)),f100(f917(f916(x102964,x102965),a904),x102966)))+P1(f329(f329(f331(f916(x102964,x102965)),f329(f329(f257(x102964,x102965),f507(x102961,x102966,x102963,x102962,x102965,x102964)),f508(x102961,x102966,x102963,x102962,x102965,x102964))),f329(x102966,f329(f329(f106(f917(f916(x102964,x102965),a904)),f100(f917(f916(x102964,x102965),a904),x102966)),f329(f267(f916(x102964,x102965)),f329(f262(x102964,x102965,a904),x102961))))))
% 192.24/192.22 [9666]~E(x96663,f329(f329(f162(x96661,x96662),x96665),x96666))+P1(f329(f329(f331(f916(f910(x96661),f910(x96661))),f329(f329(f257(f910(x96661),f910(x96661)),x96662),x96663)),f160(x96661,x96664)))+~P1(f329(f329(f240(a909),x96665),f329(f192(f910(x96661)),x96662)))+~P1(f329(f329(f331(f916(x96661,x96661)),f329(f329(f257(x96661,x96661),f329(f329(f167(x96661),x96662),x96665)),x96666)),x96664))
% 192.24/192.22 [10153]~P77(x101532)+~P1(f329(f62(x101531),x101536))+P1(f329(f329(f331(x101531),f545(x101534,x101535,x101533,x101536,x101531,x101532)),x101536))+E(f329(f329(f6(x101531,x101532),f329(f329(f18(x101531,f917(x101533,a904),x101532),f329(f329(f8(f917(x101533,x101532),f917(f917(x101533,a904),x101532),x101531),f6(x101533,x101532)),x101534)),x101535)),x101536),f329(f329(f6(f916(x101531,x101533),x101532),f329(f262(x101531,x101533,x101532),x101534)),f329(f329(f259(x101531,x101533),x101536),x101535)))
% 192.24/192.22 [10154]~P80(x101542)+~P1(f329(f62(x101541),x101546))+P1(f329(f329(f331(x101541),f546(x101544,x101545,x101543,x101546,x101541,x101542)),x101546))+E(f329(f329(f9(x101541,x101542),f329(f329(f18(x101541,f917(x101543,a904),x101542),f329(f329(f8(f917(x101543,x101542),f917(f917(x101543,a904),x101542),x101541),f9(x101543,x101542)),x101544)),x101545)),x101546),f329(f329(f9(f916(x101541,x101543),x101542),f329(f262(x101541,x101543,x101542),x101544)),f329(f329(f259(x101541,x101543),x101546),x101545)))
% 192.24/192.22 [10195]~P77(x101952)+~P1(f329(f62(x101951),x101956))+~P1(f329(f62(x101953),f329(x101955,f545(x101954,x101955,x101953,x101956,x101951,x101952))))+E(f329(f329(f6(x101951,x101952),f329(f329(f18(x101951,f917(x101953,a904),x101952),f329(f329(f8(f917(x101953,x101952),f917(f917(x101953,a904),x101952),x101951),f6(x101953,x101952)),x101954)),x101955)),x101956),f329(f329(f6(f916(x101951,x101953),x101952),f329(f262(x101951,x101953,x101952),x101954)),f329(f329(f259(x101951,x101953),x101956),x101955)))
% 192.24/192.22 [10196]~P80(x101962)+~P1(f329(f62(x101961),x101966))+~P1(f329(f62(x101963),f329(x101965,f546(x101964,x101965,x101963,x101966,x101961,x101962))))+E(f329(f329(f9(x101961,x101962),f329(f329(f18(x101961,f917(x101963,a904),x101962),f329(f329(f8(f917(x101963,x101962),f917(f917(x101963,a904),x101962),x101961),f9(x101963,x101962)),x101964)),x101965)),x101966),f329(f329(f9(f916(x101961,x101963),x101962),f329(f262(x101961,x101963,x101962),x101964)),f329(f329(f259(x101961,x101963),x101966),x101965)))
% 192.24/192.22 [10176]~P80(x101762)+~P1(f329(f62(x101761),x101766))+P1(f329(f329(f331(x101761),x101763),x101766))+E(f329(f329(f9(x101761,x101762),f329(f329(f7(x101761,x101762,x101762),f329(f329(f18(x101761,x101762,f917(x101762,x101762)),f329(f329(f8(a904,f917(x101762,f917(x101762,x101762)),x101761),f99(x101762)),f329(f329(f7(x101761,x101761,a904),a326),x101763))),x101764)),x101765)),x101766),f329(f329(f249(x101762),x101765),f329(f36(x101761),x101766)))
% 192.24/192.22 [10181]~P80(x101812)+~P1(f329(f62(x101811),x101816))+~P1(f329(f329(f331(x101811),x101813),x101816))+E(f329(f329(f9(x101811,x101812),f329(f329(f7(x101811,x101812,x101812),f329(f329(f18(x101811,x101812,f917(x101812,x101812)),f329(f329(f8(a904,f917(x101812,f917(x101812,x101812)),x101811),f99(x101812)),f329(f329(f7(x101811,x101811,a904),a326),x101813))),x101814)),x101815)),x101816),f329(f329(f83(x101812),f329(x101814,x101813)),f329(f329(f249(x101812),x101815),f329(f329(f23(a909),f329(f36(x101811),x101816)),f80(a909)))))
% 192.24/192.22 [10259]~P1(f329(f62(x102591),x102595))+~P1(f329(f62(x102592),x102593))+P1(f329(f329(f331(x102592),f431(x102596,x102594,x102593,x102592,x102595,x102591)),x102593))+E(f329(f329(f6(x102591,a909),f329(f329(f8(f917(x102592,a904),a909,x102591),f36(x102592)),f329(f329(f8(f917(x102592,a904),f917(x102592,a904),x102591),f267(x102592)),f329(f329(f8(f917(x102592,a904),f917(x102592,a904),x102591),f329(f18(x102592,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102592),a327),f329(f329(f7(x102592,f917(x102592,a904),a904),f331(x102592)),x102593)))),x102594)))),x102595),f329(f329(f83(a909),x102596),f329(f36(x102592),x102593)))
% 192.24/192.22 [10260]~P1(f329(f62(x102601),x102605))+~P1(f329(f62(x102602),x102603))+P1(f329(f329(f331(x102602),f432(x102606,x102604,x102603,x102602,x102605,x102601)),x102603))+E(f329(f329(f6(x102601,a909),f329(f329(f8(f917(x102602,a904),a909,x102601),f36(x102602)),f329(f329(f8(f917(x102602,a904),f917(x102602,a904),x102601),f267(x102602)),f329(f329(f8(f917(x102602,a904),f917(x102602,a904),x102601),f329(f18(x102602,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102602),a327),f329(f329(f7(x102602,f917(x102602,a904),a904),f331(x102602)),x102603)))),x102604)))),x102605),f329(f329(f6(x102602,a909),x102606),x102603))
% 192.24/192.22 [10300]~P1(f329(f62(x103002),x103003))+~P1(f329(f62(x103001),x103005))+~E(f329(f36(x103001),f329(f267(x103001),f329(f329(f18(x103001,a904,a904),f329(f329(f8(a904,f917(a904,a904),x103001),a327),f329(f329(f7(x103001,f917(x103001,a904),a904),f331(x103001)),x103005))),f329(f329(f7(x103001,x103002,a904),x103004),f431(x103006,x103004,x103003,x103002,x103005,x103001))))),x103006)+E(f329(f329(f6(x103001,a909),f329(f329(f8(f917(x103002,a904),a909,x103001),f36(x103002)),f329(f329(f8(f917(x103002,a904),f917(x103002,a904),x103001),f267(x103002)),f329(f329(f8(f917(x103002,a904),f917(x103002,a904),x103001),f329(f18(x103002,a904,a904),f329(f329(f8(a904,f917(a904,a904),x103002),a327),f329(f329(f7(x103002,f917(x103002,a904),a904),f331(x103002)),x103003)))),x103004)))),x103005),f329(f329(f83(a909),x103006),f329(f36(x103002),x103003)))
% 192.24/192.22 [10302]~P1(f329(f62(x103022),x103023))+~P1(f329(f62(x103021),x103025))+~E(f329(f36(x103021),f329(f267(x103021),f329(f329(f18(x103021,a904,a904),f329(f329(f8(a904,f917(a904,a904),x103021),a327),f329(f329(f7(x103021,f917(x103021,a904),a904),f331(x103021)),x103025))),f329(f329(f7(x103021,x103022,a904),x103024),f432(x103026,x103024,x103023,x103022,x103025,x103021))))),f329(x103026,f432(x103026,x103024,x103023,x103022,x103025,x103021)))+E(f329(f329(f6(x103021,a909),f329(f329(f8(f917(x103022,a904),a909,x103021),f36(x103022)),f329(f329(f8(f917(x103022,a904),f917(x103022,a904),x103021),f267(x103022)),f329(f329(f8(f917(x103022,a904),f917(x103022,a904),x103021),f329(f18(x103022,a904,a904),f329(f329(f8(a904,f917(a904,a904),x103022),a327),f329(f329(f7(x103022,f917(x103022,a904),a904),f331(x103022)),x103023)))),x103024)))),x103025),f329(f329(f6(x103022,a909),x103026),x103023))
% 192.24/192.22 [9946]E(x99461,x99462)+~P22(x99463,x99464,x99465)+~P1(f329(f67(x99463,x99464,x99465,x99466,x99467),x99462))+~P1(f329(f67(x99463,x99464,x99465,x99466,x99467),x99461))
% 192.24/192.22 [9744]P1(f329(x97441,x97442))+~P1(f329(f329(f331(x97447),x97442),f329(x97446,x97444)))+~P1(f329(x97441,f437(x97441,x97446,x97445,x97443,x97447)))+~P1(f329(f329(f331(x97443),x97444),x97445))
% 192.24/192.22 [10167]~P22(x101677,x101676,x101671)+E(f329(f329(x101671,x101672),f628(x101672,x101673,x101674,x101675,x101671,x101676,x101677)),x101673)+~P1(f329(f67(x101677,x101676,x101671,x101675,x101674),x101673))+~P1(f329(f329(f331(x101677),x101672),x101674))
% 192.24/192.22 [10238]~P22(x102381,x102382,x102383)+~P1(f329(f67(x102381,x102382,x102383,x102384,x102385),x102387))+P1(f329(f67(x102381,x102382,x102383,x102384,f329(f329(f23(f917(x102381,a904)),x102385),f329(f329(f311(x102381),x102386),f191(f917(x102381,a904))))),f628(x102386,x102387,x102385,x102384,x102383,x102382,x102381)))+~P1(f329(f329(f331(x102381),x102386),x102385))
% 192.24/192.22 [9640]~P75(x96401)+~P31(x96405,x96402,x96406,x96407)+~P1(f329(f62(x96405),x96407))+E(f329(f329(f329(f66(x96401,x96402,f83(x96401)),x96403),x96404),f329(f312(x96405,x96402,x96406),x96407)),f329(f329(f329(f66(x96401,x96405,f83(x96401)),f329(f74(x96402,x96401,x96405,x96403),x96406)),x96404),x96407))
% 192.24/192.22 [9767]~E(f329(f329(f311(x97671),x97675),x97676),f329(f329(f311(x97671),x97672),x97673))+~P1(f329(f67(x97671,x97671,x97674,x97672,x97673),x97677))+P1(f329(f329(f331(x97671),x97672),x97673))+P1(f329(f63(x97671,x97674,f329(f329(f311(x97671),x97675),x97676)),x97677))
% 192.24/192.22 [9851]P1(f329(x98511,x98512))+~P1(f329(f329(f331(x98513),x98512),f329(x98514,x98517)))+~P1(f329(f329(f331(x98516),x98517),x98515))+P1(f329(f329(f331(x98513),f437(x98511,x98514,x98515,x98516,x98513)),f329(f329(f40(x98516,f917(x98513,a904)),x98515),x98514)))
% 192.24/192.22 [9867]~P31(x98672,x98671,x98675,x98674)+~P31(x98671,x98673,x98676,f329(f312(x98672,x98671,x98675),x98674))+E(f329(f329(f74(x98671,x98672,x98673,f79(x98672,x98671,x98674,x98675)),f79(x98671,x98673,f329(f312(x98672,x98671,x98675),x98674),x98676)),x98677),f329(f79(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))))
% 192.24/192.22 [9868]~P31(x98682,x98681,x98685,x98684)+~P31(x98681,x98683,x98686,f329(f312(x98682,x98681,x98685),x98684))+E(f329(f329(f74(x98681,x98682,x98683,f94(x98682,x98681,x98684,x98685)),f94(x98681,x98683,f329(f312(x98682,x98681,x98685),x98684),x98686)),x98687),f329(f94(x98682,x98683,x98684,f329(f74(x98681,x98683,x98682,x98686),x98685)),x98687))+~P1(f329(f329(f331(x98683),x98687),f329(f312(x98681,x98683,x98686),f329(f312(x98682,x98681,x98685),x98684))))
% 192.24/192.22 [10168]~P22(x101687,x101686,x101681)+E(f329(f329(x101681,x101682),f653(x101683,x101684,x101682,x101685,x101681,x101686,x101687)),x101683)+P1(f329(f329(f331(x101687),x101682),x101684))+~P1(f329(f67(x101687,x101686,x101681,x101685,f329(f329(f311(x101687),x101682),x101684)),x101683))
% 192.24/192.22 [10237]~P22(x102371,x102374,x102375)+P1(f329(f67(x102371,x102374,x102375,x102376,x102373),f653(x102377,x102373,x102372,x102376,x102375,x102374,x102371)))+P1(f329(f329(f331(x102371),x102372),x102373))+~P1(f329(f67(x102371,x102374,x102375,x102376,f329(f329(f311(x102371),x102372),x102373)),x102377))
% 192.24/192.22 [9928]E(x99281,f2(a1))+~P1(f329(f50(x99283,x99281),f329(f329(f257(a1,a1),x99285),x99287)))+~P1(f329(f50(x99282,x99281),f329(f329(f257(a1,a1),x99284),x99286)))+P1(f329(f50(f329(f329(f82(a1),x99282),x99283),x99281),f329(f329(f257(a1,a1),f329(f329(f82(a1),f329(f329(f82(a1),x99284),x99285)),f329(f329(f37(a1),f329(f329(f82(a1),x99286),x99287)),x99281))),f46(a1,f329(f329(f82(a1),x99286),x99287),x99281))))
% 192.24/192.22 [9930]~P1(f329(f329(f240(a909),f2(a909)),x99303))+~P1(f329(f49(x99302,x99303),f329(f329(f257(a909,a909),x99305),x99307)))+~P1(f329(f49(x99301,x99303),f329(f329(f257(a909,a909),x99304),x99306)))+P1(f329(f49(f329(f329(f82(a909),x99301),x99302),x99303),f329(f329(f257(a909,a909),f329(f329(f82(a909),f329(f329(f82(a909),x99304),x99305)),f329(f329(f37(a909),f329(f329(f82(a909),x99306),x99307)),x99303))),f46(a909,f329(f329(f82(a909),x99306),x99307),x99303))))
% 192.24/192.22 [10299]~P77(x102992)+~P1(f329(f62(x102993),x102995))+~P1(f329(f62(x102991),x102997))+E(f329(f329(f6(x102991,x102992),f329(f329(f18(x102991,f917(x102993,a904),x102992),f329(f329(f8(f917(x102993,x102992),f917(f917(x102993,a904),x102992),x102991),f6(x102993,x102992)),x102994)),f329(f329(f8(f917(x102993,a904),f917(x102993,a904),x102991),f267(x102993)),f329(f329(f8(f917(x102993,a904),f917(x102993,a904),x102991),f329(f18(x102993,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102993),a327),f329(f329(f7(x102993,f917(x102993,a904),a904),f331(x102993)),x102995)))),x102996)))),x102997),f329(f329(f6(x102993,x102992),f329(f329(f18(x102993,f917(x102991,a904),x102992),f329(f329(f8(f917(x102991,x102992),f917(f917(x102991,a904),x102992),x102993),f6(x102991,x102992)),f329(f7(x102991,x102993,x102992),x102994))),f329(f329(f8(f917(x102991,a904),f917(x102991,a904),x102993),f267(x102991)),f329(f329(f8(f917(x102991,a904),f917(x102991,a904),x102993),f329(f18(x102991,a904,a904),f329(f329(f8(a904,f917(a904,a904),x102991),a327),f329(f329(f7(x102991,f917(x102991,a904),a904),f331(x102991)),x102997)))),f329(f7(x102991,x102993,a904),x102996))))),x102995))
% 192.24/192.22 [9803]~P28(x98037,x98036,x98031,x98038,x98032,x98034)+E(f329(f329(x98031,f329(x98032,x98033)),f329(x98034,x98035)),f329(x98034,x98035))+~P1(f329(f62(x98036),x98035))+~P1(f329(f329(f331(x98036),x98033),x98035))
% 192.24/192.22 [9807]~P18(x98076,x98071,x98072,x98078,x98073,x98074)+~P14(x98076,x98077,x98078)+P17(x98071,x98072,x98073,f329(x98074,x98075))+~P1(f329(f329(f331(x98076),x98075),x98077))
% 192.24/192.22 [7922]~P49(x79224,x79225,x79226,x79223)+~P34(x79228,x79226,f329(f329(f329(f93(x79228),x79227),x79224),x79221))+P1(f329(f329(x79221,x79222),x79223))+~P1(f329(f329(x79227,x79222),x79225))
% 192.24/192.22 [9421]~P25(x94217,x94211,x94218,x94213)+~P1(f329(f62(x94217),x94215))+~P1(f329(f62(x94217),x94214))+E(f329(f74(x94211,x94211,x94212,f329(x94213,x94214)),f329(f74(x94211,x94211,x94212,f329(x94213,x94215)),x94216)),f329(f74(x94211,x94211,x94212,f329(x94213,x94215)),f329(f74(x94211,x94211,x94212,f329(x94213,x94214)),x94216)))
% 192.24/192.22 [9430]~P41(x94301,x94302,x94303,x94304,x94307)+P41(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(f240(a909),x94305),f329(f192(f910(x94301)),x94304)))
% 192.24/192.22 [9431]~P41(x94311,x94312,x94313,x94314,x94317)+P41(x94311,x94312,x94313,f329(f329(f162(x94311,x94314),x94315),x94316),f329(f329(f162(x94312,x94317),x94315),x94318))+~P1(f329(f329(x94313,x94316),x94318))+~P1(f329(f329(f240(a909),x94315),f329(f192(f910(x94312)),x94317)))
% 192.24/192.22 [9509]~P31(x95092,x95092,x95095,x95096)+~P27(x95093,x95092,x95097,x95098,x95091)+~P1(f329(f62(x95092),x95096))+E(f329(f329(x95091,f329(f74(x95092,x95093,x95092,x95094),x95095)),x95096),f329(f329(x95091,x95094),f329(f312(x95092,x95092,x95095),x95096)))
% 192.24/192.22 [9768]P32(x97681,x97682,x97683,x97684,x97685)+~P32(x97682,x97686,x97687,x97685,x97688)+~P32(x97681,x97686,f329(f74(x97682,x97686,x97681,x97687),x97683),x97684,x97688)+~P1(f329(f329(f239(f917(x97682,a904)),f329(f312(x97681,x97682,x97683),x97684)),x97685))
% 192.24/192.22 [9805]~P29(x98057,x98052,x98055,x98058,x98056,x98051)+~P1(f329(f62(x98052),x98054))+E(f329(x98051,f329(f329(f311(x98052),x98053),x98054)),f329(f329(x98055,f329(x98056,x98053)),f329(x98051,x98054)))+P1(f329(f329(f331(x98052),x98053),x98054))
% 192.24/192.22 [9816]~P28(x98166,x98165,x98161,x98167,x98168,x98162)+E(f329(f329(x98161,f329(x98162,x98163)),f329(x98162,x98164)),f329(x98162,x98164))+~P1(f329(f62(x98165),x98164))+~P1(f329(f329(f239(f917(x98165,a904)),x98163),x98164))
% 192.24/192.22 [9407]P1(f329(f329(f331(f916(f910(x94071),f910(x94071))),f329(f329(f257(f910(x94071),f910(x94071)),x94072),x94073)),f160(x94071,x94074)))+~E(x94073,f329(f329(f137(x94071),x94075),f329(f329(f154(x94071),x94076),x94077)))+~E(x94072,f329(f329(f137(x94071),x94075),f329(f329(f154(x94071),x94078),x94077)))+~P1(f329(f329(f331(f916(x94071,x94071)),f329(f329(f257(x94071,x94071),x94078),x94076)),x94074))
% 192.24/192.22 [9810]~P28(x98106,x98102,x98105,x98107,x98108,x98101)+~P1(f329(f62(x98102),x98104))+~P1(f329(f62(x98102),x98103))+E(f329(x98101,f329(f329(f115(f917(x98102,a904)),x98103),x98104)),f329(f329(x98105,f329(x98101,x98103)),f329(x98101,x98104)))
% 192.24/192.22 [10343]~P31(x103434,x103432,x103435,x103438)+E(f329(f329(f41(x103431,f917(x103432,a904)),x103433),f329(f329(f8(f917(x103434,a904),f917(x103432,a904),x103431),f312(x103434,x103432,x103435)),x103436)),f329(f312(x103434,x103432,x103435),f329(f329(f41(x103431,f917(x103434,a904)),x103433),x103436)))+~P1(f329(f329(f331(x103431),x103437),x103433))+P1(f329(f329(f331(x103431),f642(x103437,x103436,x103433,x103431,x103438,x103435,x103432,x103434)),x103433))
% 192.24/192.22 [10367]~P31(x103674,x103672,x103675,x103677)+E(f329(f329(f41(x103671,f917(x103672,a904)),x103673),f329(f329(f8(f917(x103674,a904),f917(x103672,a904),x103671),f312(x103674,x103672,x103675)),x103676)),f329(f312(x103674,x103672,x103675),f329(f329(f41(x103671,f917(x103674,a904)),x103673),x103676)))+~P1(f329(f329(f331(x103671),x103678),x103673))+~P1(f329(f329(f239(f917(x103674,a904)),f329(x103676,f642(x103678,x103676,x103673,x103671,x103677,x103675,x103672,x103674))),x103677))
% 192.24/192.22 [9877]~P29(x98777,x98775,x98771,x98778,x98772,x98774)+~P1(f329(f62(x98775),x98776))+~P1(f329(f329(f331(x98775),x98773),x98776))+E(f329(f329(x98771,f329(x98772,x98773)),f329(x98774,f329(f329(f23(f917(x98775,a904)),x98776),f329(f329(f311(x98775),x98773),f191(f917(x98775,a904)))))),f329(x98774,x98776))
% 192.24/192.22 [9885]~P29(x98856,x98853,x98851,x98857,x98858,x98852)+~P1(f329(f62(x98853),x98855))+~P1(f329(f62(x98853),x98854))+E(f329(f329(x98851,f329(x98852,f329(f329(f115(f917(x98853,a904)),x98854),x98855))),f329(x98852,f329(f329(f106(f917(x98853,a904)),x98854),x98855))),f329(f329(x98851,f329(x98852,x98854)),f329(x98852,x98855)))
% 192.24/192.22 [9969]P51(x99691,x99692,x99693,x99694,x99695,f329(f329(x99693,x99696),x99697))+~P51(x99691,x99692,x99693,x99694,f329(f329(f23(f917(x99691,a904)),x99695),f329(f329(f311(x99691),x99698),f191(f917(x99691,a904)))),x99699)+~E(f329(f329(x99693,x99696),x99697),f329(f329(x99693,x99698),x99699))+~P1(f329(f329(f331(x99691),x99698),x99695))
% 192.24/192.22 [10378]P30(x103781,x103782,f329(f329(f311(f908(x103781)),f329(f329(f329(f93(x103781),f329(x103783,f593(x103784,x103785,x103786,x103787,x103783,x103782,x103781,x103788,x103789))),f329(x103787,f593(x103784,x103785,x103786,x103787,x103783,x103782,x103781,x103788,x103789))),f329(x103786,f593(x103784,x103785,x103786,x103787,x103783,x103782,x103781,x103788,x103789)))),f191(f917(f908(x103781),a904))))+~P1(f329(f62(x103789),x103788))+~P30(x103781,x103782,f329(f312(x103789,f908(x103781),f329(f329(f18(x103789,f917(x103781,f917(a906,a904)),f908(x103781)),f329(f329(f18(x103789,a905,f917(f917(x103781,f917(a906,a904)),f908(x103781))),f329(f329(f8(f917(x103781,f917(a906,a904)),f917(a905,f917(f917(x103781,f917(a906,a904)),f908(x103781))),x103789),f93(x103781)),x103783)),x103787)),x103786)),x103788))+P30(x103781,x103782,f329(f312(x103789,f908(x103781),f329(f329(f18(x103789,f917(x103781,f917(a906,a904)),f908(x103781)),f329(f329(f18(x103789,a905,f917(f917(x103781,f917(a906,a904)),f908(x103781))),f329(f329(f8(f917(x103781,f917(a906,a904)),f917(a905,f917(f917(x103781,f917(a906,a904)),f908(x103781))),x103789),f93(x103781)),x103785)),x103787)),x103784)),x103788))
% 192.24/192.22 [10379]~P30(x103791,x103792,f329(f329(f311(f908(x103791)),f329(f329(f329(f93(x103791),f329(x103794,f593(x103796,x103794,x103798,x103795,x103799,x103792,x103791,x103797,x103793))),f329(x103795,f593(x103796,x103794,x103798,x103795,x103799,x103792,x103791,x103797,x103793))),f329(x103796,f593(x103796,x103794,x103798,x103795,x103799,x103792,x103791,x103797,x103793)))),f191(f917(f908(x103791),a904))))+~P1(f329(f62(x103793),x103797))+~P30(x103791,x103792,f329(f312(x103793,f908(x103791),f329(f329(f18(x103793,f917(x103791,f917(a906,a904)),f908(x103791)),f329(f329(f18(x103793,a905,f917(f917(x103791,f917(a906,a904)),f908(x103791))),f329(f329(f8(f917(x103791,f917(a906,a904)),f917(a905,f917(f917(x103791,f917(a906,a904)),f908(x103791))),x103793),f93(x103791)),x103799)),x103795)),x103798)),x103797))+P30(x103791,x103792,f329(f312(x103793,f908(x103791),f329(f329(f18(x103793,f917(x103791,f917(a906,a904)),f908(x103791)),f329(f329(f18(x103793,a905,f917(f917(x103791,f917(a906,a904)),f908(x103791))),f329(f329(f8(f917(x103791,f917(a906,a904)),f917(a905,f917(f917(x103791,f917(a906,a904)),f908(x103791))),x103793),f93(x103791)),x103794)),x103795)),x103796)),x103797))
% 192.24/192.22 [9911]~P18(x99116,x99117,x99118,x99119,x991110,x99111)+E(f329(f329(x99111,x99112),x99113),f329(f329(x99111,x99114),x99115))+~P1(f329(f329(f331(f916(x99117,x99117)),f329(f329(f257(x99117,x99117),x99113),x99115)),x991110))+~P1(f329(f329(f331(f916(x99116,x99116)),f329(f329(f257(x99116,x99116),x99112),x99114)),x99119))
% 192.24/192.22 [9511]~P2(x95112)+E(x95111,f191(f917(x95112,a904)))+~P1(f329(f62(x95112),x95111))+P1(f329(f329(f331(x95112),f13(x95112,x95111)),x95111))+~P1(f329(f329(f331(x95112),f329(f329(f115(x95112),f602(x95111,x95112)),f617(x95111,x95112))),f329(f329(f311(x95112),f602(x95111,x95112)),f329(f329(f311(x95112),f617(x95111,x95112)),f191(f917(x95112,a904))))))
% 192.24/192.22 [9512]~P2(x95122)+E(x95121,f191(f917(x95122,a904)))+~P1(f329(f62(x95122),x95121))+P1(f329(f329(f331(x95122),f10(x95122,x95121)),x95121))+~P1(f329(f329(f331(x95122),f329(f329(f106(x95122),f746(x95121,x95122)),f757(x95121,x95122))),f329(f329(f311(x95122),f746(x95121,x95122)),f329(f329(f311(x95122),f757(x95121,x95122)),f191(f917(x95122,a904))))))
% 192.24/192.22 [9543]~P75(x95432)+E(x95431,f191(f917(x95432,a904)))+~P1(f329(f62(x95432),x95431))+P1(f329(f329(f331(x95432),f329(f64(x95432,f83(x95432)),x95431)),x95431))+~P1(f329(f329(f331(x95432),f329(f329(f83(x95432),f898(x95431,x95432)),f899(x95431,x95432))),f329(f329(f311(x95432),f898(x95431,x95432)),f329(f329(f311(x95432),f899(x95431,x95432)),f191(f917(x95432,a904))))))
% 192.24/192.22 [9549]~P112(x95492)+E(x95491,f191(f917(x95492,a904)))+~P1(f329(f62(x95492),x95491))+P1(f329(f329(f331(x95492),f11(x95492,f238(x95492),x95491)),x95491))+~P1(f329(f329(f331(x95492),f329(f329(f238(x95492),f457(x95491,x95492)),f460(x95491,x95492))),f329(f329(f311(x95492),f457(x95491,x95492)),f329(f329(f311(x95492),f460(x95491,x95492)),f191(f917(x95492,a904))))))
% 192.24/192.22 [9550]~P112(x95502)+E(x95501,f191(f917(x95502,a904)))+~P1(f329(f62(x95502),x95501))+P1(f329(f329(f331(x95502),f12(x95502,f237(x95502),x95501)),x95501))+~P1(f329(f329(f331(x95502),f329(f329(f237(x95502),f461(x95501,x95502)),f462(x95501,x95502))),f329(f329(f311(x95502),f461(x95501,x95502)),f329(f329(f311(x95502),f462(x95501,x95502)),f191(f917(x95502,a904))))))
% 192.24/192.22 [6641]~P91(x66412)+E(x66411,f2(x66412))+~E(f329(f329(f82(x66412),x66413),x66411),f2(x66412))+~P1(f329(f329(f239(x66412),f2(x66412)),x66413))+~P1(f329(f329(f239(x66412),f2(x66412)),x66411))
% 192.24/192.22 [6642]~P91(x66422)+E(x66421,f2(x66422))+~E(f329(f329(f82(x66422),x66421),x66423),f2(x66422))+~P1(f329(f329(f239(x66422),f2(x66422)),x66423))+~P1(f329(f329(f239(x66422),f2(x66422)),x66421))
% 192.24/192.22 [7169]~P112(x71692)+~P19(x71692,x71691)+E(x71691,f118(x71692))+~P1(f329(f329(f331(x71692),x71693),f329(f175(x71692),f730(x71691,x71692))))+P1(f329(f329(f239(x71692),f750(x71691,x71692)),x71693))
% 192.24/192.22 [7337]~P112(x73371)+E(f14(x73371,x73372),x73373)+~P1(f329(f62(x73371),x73372))+~P1(f329(f329(f239(x73371),x73373),f477(x73373,x73372,x73371)))+~P1(f329(f329(f331(x73371),x73373),x73372))
% 192.24/192.22 [7373]~P112(x73731)+~P19(x73731,x73732)+~P19(x73731,x73733)+P19(x73731,f329(f329(f137(x73731),x73732),x73733))+P1(f329(f329(f331(x73731),f736(x73733,x73732,x73731)),f329(f175(x73731),x73732)))
% 192.24/192.22 [7374]~P112(x73741)+~P19(x73741,x73742)+~P19(x73741,x73743)+P19(x73741,f329(f329(f137(x73741),x73742),x73743))+P1(f329(f329(f331(x73741),f737(x73743,x73742,x73741)),f329(f175(x73741),x73743)))
% 192.24/192.22 [7435]~P112(x74351)+E(f14(x74351,x74352),x74353)+~P1(f329(f62(x74351),x74352))+P1(f329(f329(f331(x74351),f477(x74353,x74352,x74351)),x74352))+~P1(f329(f329(f331(x74351),x74353),x74352))
% 192.24/192.22 [7436]~P112(x74361)+E(f15(x74361,x74362),x74363)+~P1(f329(f62(x74361),x74362))+P1(f329(f329(f331(x74361),f478(x74363,x74362,x74361)),x74362))+~P1(f329(f329(f331(x74361),x74363),x74362))
% 192.24/192.22 [8023]~P112(x80231)+E(f15(x80231,x80232),x80233)+~P1(f329(f62(x80231),x80232))+~P1(f329(f329(f331(x80231),x80233),x80232))+~P1(f329(f329(f239(x80231),f478(x80233,x80232,x80231)),x80233))
% 192.24/192.22 [8351]~P112(x83511)+~P19(x83511,x83512)+~P19(x83511,x83513)+P19(x83511,f329(f329(f137(x83511),x83512),x83513))+~P1(f329(f329(f239(x83511),f736(x83513,x83512,x83511)),f737(x83513,x83512,x83511)))
% 192.24/192.22 [9143]~P2(x91432)+E(x91431,f191(f917(x91432,a904)))+~E(f329(f329(f115(x91432),f329(x91433,f649(x91431,x91433,x91432))),f329(x91433,f656(x91431,x91433,x91432))),f329(x91433,f329(f329(f115(x91432),f649(x91431,x91433,x91432)),f656(x91431,x91433,x91432))))+E(f13(x91432,f329(f312(x91432,x91432,x91433),x91431)),f329(x91433,f13(x91432,x91431)))+~P1(f329(f62(x91432),x91431))
% 192.24/192.22 [9144]~P2(x91442)+E(x91441,f191(f917(x91442,a904)))+~E(f329(f329(f106(x91442),f329(x91443,f792(x91441,x91443,x91442))),f329(x91443,f803(x91441,x91443,x91442))),f329(x91443,f329(f329(f106(x91442),f792(x91441,x91443,x91442)),f803(x91441,x91443,x91442))))+E(f10(x91442,f329(f312(x91442,x91442,x91443),x91441)),f329(x91443,f10(x91442,x91441)))+~P1(f329(f62(x91442),x91441))
% 192.24/192.22 [9145]~P112(x91452)+E(x91451,f191(f917(x91452,a904)))+~E(f329(f329(f237(x91452),f329(x91453,f452(x91451,x91453,x91452))),f329(x91453,f473(x91451,x91453,x91452))),f329(x91453,f329(f329(f237(x91452),f452(x91451,x91453,x91452)),f473(x91451,x91453,x91452))))+E(f14(x91452,f329(f312(x91452,x91452,x91453),x91451)),f329(x91453,f14(x91452,x91451)))+~P1(f329(f62(x91452),x91451))
% 192.24/192.22 [9146]~P112(x91462)+E(x91461,f191(f917(x91462,a904)))+~E(f329(f329(f238(x91462),f329(x91463,f453(x91461,x91463,x91462))),f329(x91463,f472(x91461,x91463,x91462))),f329(x91463,f329(f329(f238(x91462),f453(x91461,x91463,x91462)),f472(x91461,x91463,x91462))))+E(f15(x91462,f329(f312(x91462,x91462,x91463),x91461)),f329(x91463,f15(x91462,x91461)))+~P1(f329(f62(x91462),x91461))
% 192.24/192.22 [9215]~P112(x92152)+E(x92151,f191(f917(x92152,a904)))+~E(f329(f329(f238(x92152),f329(x92153,f454(x92151,x92153,x92152))),f329(x92153,f468(x92151,x92153,x92152))),f329(x92153,f329(f329(f238(x92152),f454(x92151,x92153,x92152)),f468(x92151,x92153,x92152))))+E(f11(x92152,f238(x92152),f329(f312(x92152,x92152,x92153),x92151)),f329(x92153,f11(x92152,f238(x92152),x92151)))+~P1(f329(f62(x92152),x92151))
% 192.24/192.22 [9216]~P112(x92162)+E(x92161,f191(f917(x92162,a904)))+~E(f329(f329(f237(x92162),f329(x92163,f469(x92161,x92163,x92162))),f329(x92163,f470(x92161,x92163,x92162))),f329(x92163,f329(f329(f237(x92162),f469(x92161,x92163,x92162)),f470(x92161,x92163,x92162))))+E(f12(x92162,f237(x92162),f329(f312(x92162,x92162,x92163),x92161)),f329(x92163,f12(x92162,f237(x92162),x92161)))+~P1(f329(f62(x92162),x92161))
% 192.24/192.22 [6657]~P75(x66572)+E(x66571,f191(f917(x66572,a904)))+~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))
% 192.24/192.22 [7175]~P2(x71752)+E(f329(f329(f115(x71752),f13(x71752,x71751)),f13(x71752,x71753)),f13(x71752,x71753))+E(x71751,f191(f917(x71752,a904)))+~P1(f329(f62(x71752),x71753))+~P1(f329(f329(f239(f917(x71752,a904)),x71751),x71753))
% 192.24/192.22 [7176]~P2(x71762)+E(f329(f329(f106(x71762),f10(x71762,x71761)),f10(x71762,x71763)),f10(x71762,x71763))+E(x71761,f191(f917(x71762,a904)))+~P1(f329(f62(x71762),x71763))+~P1(f329(f329(f239(f917(x71762,a904)),x71761),x71763))
% 192.24/192.22 [7177]~P112(x71772)+E(f329(f329(f237(x71772),f14(x71772,x71771)),f14(x71772,x71773)),f14(x71772,x71773))+E(x71771,f191(f917(x71772,a904)))+~P1(f329(f62(x71772),x71773))+~P1(f329(f329(f239(f917(x71772,a904)),x71771),x71773))
% 192.24/192.22 [7178]~P112(x71782)+E(f329(f329(f238(x71782),f15(x71782,x71781)),f15(x71782,x71783)),f15(x71782,x71783))+E(x71781,f191(f917(x71782,a904)))+~P1(f329(f62(x71782),x71783))+~P1(f329(f329(f239(f917(x71782,a904)),x71781),x71783))
% 192.24/192.22 [7488]~P112(x74882)+E(x74881,f191(f917(x74882,a904)))+~P1(f329(f62(x74882),x74883))+P1(f329(f329(f239(x74882),f14(x74882,x74883)),f14(x74882,x74881)))+~P1(f329(f329(f239(f917(x74882,a904)),x74881),x74883))
% 192.24/192.22 [7489]~P112(x74892)+E(x74891,f191(f917(x74892,a904)))+~P1(f329(f62(x74892),x74893))+P1(f329(f329(f239(x74892),f15(x74892,x74891)),f15(x74892,x74893)))+~P1(f329(f329(f239(f917(x74892,a904)),x74891),x74893))
% 192.24/192.22 [7546]~P2(x75461)+E(f13(x75461,x75462),x75463)+~P1(f329(f62(x75461),x75462))+~E(f329(f329(f23(f917(x75461,a904)),x75462),f329(f329(f311(x75461),x75463),f191(f917(x75461,a904)))),f191(f917(x75461,a904)))+~P1(f329(f329(f331(x75461),x75463),x75462))
% 192.24/192.22 [7547]~P2(x75471)+E(f10(x75471,x75472),x75473)+~P1(f329(f62(x75471),x75472))+~E(f329(f329(f23(f917(x75471,a904)),x75472),f329(f329(f311(x75471),x75473),f191(f917(x75471,a904)))),f191(f917(x75471,a904)))+~P1(f329(f329(f331(x75471),x75473),x75472))
% 192.24/192.22 [7548]~P112(x75481)+E(f14(x75481,x75482),x75483)+~P1(f329(f62(x75481),x75482))+~E(f329(f329(f23(f917(x75481,a904)),x75482),f329(f329(f311(x75481),x75483),f191(f917(x75481,a904)))),f191(f917(x75481,a904)))+~P1(f329(f329(f331(x75481),x75483),x75482))
% 192.24/192.22 [7549]~P112(x75491)+E(f15(x75491,x75492),x75493)+~P1(f329(f62(x75491),x75492))+~E(f329(f329(f23(f917(x75491,a904)),x75492),f329(f329(f311(x75491),x75493),f191(f917(x75491,a904)))),f191(f917(x75491,a904)))+~P1(f329(f329(f331(x75491),x75493),x75492))
% 192.24/192.22 [7646]~P112(x76461)+E(f11(x76461,f238(x76461),x76462),x76463)+~P1(f329(f62(x76461),x76462))+~E(f329(f329(f23(f917(x76461,a904)),x76462),f329(f329(f311(x76461),x76463),f191(f917(x76461,a904)))),f191(f917(x76461,a904)))+~P1(f329(f329(f331(x76461),x76463),x76462))
% 192.24/192.22 [7647]~P112(x76471)+E(f12(x76471,f237(x76471),x76472),x76473)+~P1(f329(f62(x76471),x76472))+~E(f329(f329(f23(f917(x76471,a904)),x76472),f329(f329(f311(x76471),x76473),f191(f917(x76471,a904)))),f191(f917(x76471,a904)))+~P1(f329(f329(f331(x76471),x76473),x76472))
% 192.24/192.22 [7682]~P112(x76822)+E(x76821,f191(f917(x76822,a904)))+~P1(f329(f62(x76822),x76821))+~P1(f329(f329(f240(x76822),x76823),f447(x76823,x76821,x76822)))+P1(f329(f329(f240(x76822),x76823),f329(f64(x76822,f237(x76822)),x76821)))
% 192.24/192.22 [7683]~P104(x76832)+E(x76831,f191(f917(x76832,a904)))+~P1(f329(f62(x76832),x76831))+~P1(f329(f329(f239(x76832),x76833),f896(x76833,x76831,x76832)))+P1(f329(f329(f239(x76832),x76833),f329(f64(x76832,f106(x76832)),x76831)))
% 192.24/192.22 [7684]~P112(x76842)+E(x76841,f191(f917(x76842,a904)))+~P1(f329(f62(x76842),x76841))+~P1(f329(f329(f239(x76842),x76843),f448(x76843,x76841,x76842)))+P1(f329(f329(f239(x76842),x76843),f329(f64(x76842,f237(x76842)),x76841)))
% 192.24/192.22 [7770]~P104(x77702)+E(x77701,f191(f917(x77702,a904)))+~P1(f329(f62(x77702),x77701))+P1(f329(f329(f331(x77702),f896(x77703,x77701,x77702)),x77701))+P1(f329(f329(f239(x77702),x77703),f329(f64(x77702,f106(x77702)),x77701)))
% 192.24/192.22 [7771]~P112(x77712)+E(x77711,f191(f917(x77712,a904)))+~P1(f329(f62(x77712),x77711))+P1(f329(f329(f331(x77712),f448(x77713,x77711,x77712)),x77711))+P1(f329(f329(f239(x77712),x77713),f329(f64(x77712,f237(x77712)),x77711)))
% 192.24/192.22 [7772]~P112(x77722)+E(x77721,f191(f917(x77722,a904)))+~P1(f329(f62(x77722),x77721))+P1(f329(f329(f331(x77722),f447(x77723,x77721,x77722)),x77721))+P1(f329(f329(f240(x77722),x77723),f329(f64(x77722,f237(x77722)),x77721)))
% 192.24/192.22 [7895]~P112(x78952)+E(x78951,f191(f917(x78952,a904)))+E(f329(f329(f237(x78952),f12(x78952,f237(x78952),x78951)),f12(x78952,f237(x78952),x78953)),f12(x78952,f237(x78952),x78953))+~P1(f329(f62(x78952),x78953))+~P1(f329(f329(f239(f917(x78952,a904)),x78951),x78953))
% 192.24/192.22 [7896]~P112(x78962)+E(x78961,f191(f917(x78962,a904)))+E(f329(f329(f238(x78962),f11(x78962,f238(x78962),x78961)),f11(x78962,f238(x78962),x78963)),f11(x78962,f238(x78962),x78963))+~P1(f329(f62(x78962),x78963))+~P1(f329(f329(f239(f917(x78962,a904)),x78961),x78963))
% 192.24/192.22 [8103]~E(f639(x81031,x81033,x81032),f640(x81031,x81033,x81032))+~E(f329(f36(x81032),f641(x81031,x81033,x81032)),x81031)+E(f329(f329(f83(a909),x81031),f329(f36(f917(x81032,a904)),x81033)),f329(f36(x81032),f38(f917(x81032,a904),x81033)))+~P1(f329(f62(x81032),f38(f917(x81032,a904),x81033)))+~P1(f329(f62(f917(x81032,a904)),x81033))
% 192.24/192.22 [8289]~P112(x82892)+E(x82891,f191(f917(x82892,a904)))+~P1(f329(f62(x82892),x82893))+P1(f329(f329(f239(x82892),f329(f64(x82892,f237(x82892)),x82893)),f329(f64(x82892,f237(x82892)),x82891)))+~P1(f329(f329(f239(f917(x82892,a904)),x82891),x82893))
% 192.24/192.22 [8598]~E(f639(x85981,x85983,x85982),f640(x85981,x85983,x85982))+E(f329(f329(f83(a909),x85981),f329(f36(f917(x85982,a904)),x85983)),f329(f36(x85982),f38(f917(x85982,a904),x85983)))+P1(f329(f329(f331(f917(x85982,a904)),f641(x85981,x85983,x85982)),x85983))+~P1(f329(f62(x85982),f38(f917(x85982,a904),x85983)))+~P1(f329(f62(f917(x85982,a904)),x85983))
% 192.24/192.22 [8627]~E(f329(f36(x86272),f641(x86271,x86273,x86272)),x86271)+E(f329(f329(f83(a909),x86271),f329(f36(f917(x86272,a904)),x86273)),f329(f36(x86272),f38(f917(x86272,a904),x86273)))+P1(f329(f329(f331(f917(x86272,a904)),f640(x86271,x86273,x86272)),x86273))+~P1(f329(f62(x86272),f38(f917(x86272,a904),x86273)))+~P1(f329(f62(f917(x86272,a904)),x86273))
% 192.24/192.22 [8628]~E(f329(f36(x86282),f641(x86281,x86283,x86282)),x86281)+E(f329(f329(f83(a909),x86281),f329(f36(f917(x86282,a904)),x86283)),f329(f36(x86282),f38(f917(x86282,a904),x86283)))+P1(f329(f329(f331(f917(x86282,a904)),f639(x86281,x86283,x86282)),x86283))+~P1(f329(f62(x86282),f38(f917(x86282,a904),x86283)))+~P1(f329(f62(f917(x86282,a904)),x86283))
% 192.24/192.22 [8657]~E(f329(f36(x86572),f641(x86571,x86573,x86572)),x86571)+~E(f329(f329(f106(f917(x86572,a904)),f640(x86571,x86573,x86572)),f639(x86571,x86573,x86572)),f191(f917(x86572,a904)))+E(f329(f329(f83(a909),x86571),f329(f36(f917(x86572,a904)),x86573)),f329(f36(x86572),f38(f917(x86572,a904),x86573)))+~P1(f329(f62(f917(x86572,a904)),x86573))+~P1(f329(f62(x86572),f38(f917(x86572,a904),x86573)))
% 192.24/192.22 [8904]E(f329(f329(f83(a909),x89041),f329(f36(f917(x89042,a904)),x89043)),f329(f36(x89042),f38(f917(x89042,a904),x89043)))+P1(f329(f329(f331(f917(x89042,a904)),f641(x89041,x89043,x89042)),x89043))+P1(f329(f329(f331(f917(x89042,a904)),f640(x89041,x89043,x89042)),x89043))+~P1(f329(f62(f917(x89042,a904)),x89043))+~P1(f329(f62(x89042),f38(f917(x89042,a904),x89043)))
% 192.24/192.22 [8905]E(f329(f329(f83(a909),x89051),f329(f36(f917(x89052,a904)),x89053)),f329(f36(x89052),f38(f917(x89052,a904),x89053)))+P1(f329(f329(f331(f917(x89052,a904)),f641(x89051,x89053,x89052)),x89053))+P1(f329(f329(f331(f917(x89052,a904)),f639(x89051,x89053,x89052)),x89053))+~P1(f329(f62(f917(x89052,a904)),x89053))+~P1(f329(f62(x89052),f38(f917(x89052,a904),x89053)))
% 192.24/192.22 [8929]~E(f329(f329(f106(f917(x89292,a904)),f640(x89291,x89293,x89292)),f639(x89291,x89293,x89292)),f191(f917(x89292,a904)))+E(f329(f329(f83(a909),x89291),f329(f36(f917(x89292,a904)),x89293)),f329(f36(x89292),f38(f917(x89292,a904),x89293)))+~P1(f329(f62(f917(x89292,a904)),x89293))+P1(f329(f329(f331(f917(x89292,a904)),f641(x89291,x89293,x89292)),x89293))+~P1(f329(f62(x89292),f38(f917(x89292,a904),x89293)))
% 192.24/192.22 [9191]~P99(x91912)+E(x91911,f191(f917(x91912,a904)))+~E(f329(f329(f83(x91912),f329(x91913,f365(x91911,x91913,x91912))),f329(x91913,f366(x91911,x91913,x91912))),f329(x91913,f329(f329(f83(x91912),f365(x91911,x91913,x91912)),f366(x91911,x91913,x91912))))+~P1(f329(f62(x91912),x91911))+E(f329(f64(x91912,f83(x91912)),f329(f312(x91912,x91912,x91913),x91911)),f329(x91913,f329(f64(x91912,f83(x91912)),x91911)))
% 192.24/192.22 [10116]P1(f329(f329(x101161,x101162),x101163))+P1(f329(f329(f240(a1),f492(x101161,x101163,x101162)),f493(x101161,x101163,x101162)))+P1(f329(f329(f239(a1),f493(x101161,x101163,x101162)),f2(a1)))+P1(f329(f329(x101161,f492(x101161,x101163,x101162)),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)))),f493(x101161,x101163,x101162))))+~P1(f329(f317(f916(a1,a1),a59),f329(f329(f257(a1,a1),x101162),x101163)))
% 192.24/192.22 [10122]P1(f329(f329(x101221,x101222),x101223))+P1(f329(f329(f239(a1),f490(x101221,x101223,x101222)),f2(a1)))+P1(f329(f329(x101221,f486(x101221,x101223,x101222)),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)))),f490(x101221,x101223,x101222))))+P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f486(x101221,x101223,x101222)),f490(x101221,x101223,x101222))))+~P1(f329(f317(f916(a1,a1),a53),f329(f329(f257(a1,a1),x101222),x101223)))
% 192.24/192.22 [8073]~P120(x80731)+~P1(f329(f329(f239(x80731),x80732),f80(x80731)))+~P1(f329(f329(f239(x80731),f2(x80731)),x80732))+~P1(f329(f329(f239(x80731),f2(x80731)),x80733))+P1(f329(f329(f239(x80731),f329(f329(f83(x80731),x80732),x80733)),x80733))
% 192.24/192.22 [8074]~P120(x80741)+~P1(f329(f329(f239(x80741),x80743),f80(x80741)))+~P1(f329(f329(f239(x80741),f2(x80741)),x80743))+~P1(f329(f329(f239(x80741),f2(x80741)),x80742))+P1(f329(f329(f239(x80741),f329(f329(f83(x80741),x80742),x80743)),x80742))
% 192.24/192.22 [8439]~P112(x84392)+E(x84391,f191(f917(x84392,a904)))+~P1(f329(f62(x84392),x84391))+P1(f329(f329(f331(x84392),f449(x84393,x84391,x84392)),x84391))+~P1(f329(f329(f239(x84392),f329(f64(x84392,f237(x84392)),x84391)),x84393))
% 192.24/192.22 [8440]~P112(x84402)+E(x84401,f191(f917(x84402,a904)))+~P1(f329(f62(x84402),x84401))+P1(f329(f329(f331(x84402),f451(x84403,x84401,x84402)),x84401))+~P1(f329(f329(f240(x84402),f329(f64(x84402,f237(x84402)),x84401)),x84403))
% 192.24/192.22 [8441]~P112(x84412)+E(x84411,f191(f917(x84412,a904)))+~P1(f329(f62(x84412),x84411))+P1(f329(f329(f240(x84412),f451(x84413,x84411,x84412)),x84413))+~P1(f329(f329(f240(x84412),f329(f64(x84412,f237(x84412)),x84411)),x84413))
% 192.24/192.22 [8442]~P112(x84422)+E(x84421,f191(f917(x84422,a904)))+~P1(f329(f62(x84422),x84421))+P1(f329(f329(f239(x84422),f449(x84423,x84421,x84422)),x84423))+~P1(f329(f329(f239(x84422),f329(f64(x84422,f237(x84422)),x84421)),x84423))
% 192.24/192.22 [8526]~P1(f329(x85261,x85263))+P1(f329(x85261,f396(x85261,x85262)))+P1(f329(x85261,f390(x85261,x85262)))+~P1(f329(f329(f240(a1),f2(a1)),x85262))+P1(f329(x85261,f329(f329(f23(a1),f390(x85261,x85262)),f329(f329(f83(a1),f395(x85261,x85262)),x85262))))
% 192.24/192.22 [8754]~P1(f329(x87541,x87543))+P1(f329(x87541,f390(x87541,x87542)))+~P1(f329(f329(f240(a1),f2(a1)),x87542))+P1(f329(f329(f331(a1),f396(x87541,x87542)),f305(a1,f80(a1),x87542)))+P1(f329(x87541,f329(f329(f23(a1),f390(x87541,x87542)),f329(f329(f83(a1),f395(x87541,x87542)),x87542))))
% 192.24/192.22 [8951]~P1(f329(x89511,x89513))+~P1(f329(x89511,f390(x89511,x89512)))+P1(f329(x89511,f396(x89511,x89512)))+~P1(f329(f329(f240(a1),f2(a1)),x89512))+~P1(f329(x89511,f329(f329(f23(a1),f390(x89511,x89512)),f329(f329(f83(a1),f395(x89511,x89512)),x89512))))
% 192.24/192.22 [9080]~P1(f329(x90801,x90803))+~P1(f329(x90801,f390(x90801,x90802)))+~P1(f329(f329(f240(a1),f2(a1)),x90802))+P1(f329(f329(f331(a1),f396(x90801,x90802)),f305(a1,f80(a1),x90802)))+~P1(f329(x90801,f329(f329(f23(a1),f390(x90801,x90802)),f329(f329(f83(a1),f395(x90801,x90802)),x90802))))
% 192.24/192.22 [8861]~P2(x88611)+~P1(f329(f62(x88611),x88612))+E(f329(f329(f23(f917(x88611,a904)),x88612),f329(f329(f311(x88611),x88613),f191(f917(x88611,a904)))),f191(f917(x88611,a904)))+~P1(f329(f329(f331(x88611),x88613),x88612))+E(f329(f329(f115(x88611),x88613),f13(x88611,f329(f329(f23(f917(x88611,a904)),x88612),f329(f329(f311(x88611),x88613),f191(f917(x88611,a904)))))),f13(x88611,x88612))
% 192.24/192.22 [8862]~P2(x88621)+~P1(f329(f62(x88621),x88622))+E(f329(f329(f23(f917(x88621,a904)),x88622),f329(f329(f311(x88621),x88623),f191(f917(x88621,a904)))),f191(f917(x88621,a904)))+~P1(f329(f329(f331(x88621),x88623),x88622))+E(f329(f329(f106(x88621),x88623),f10(x88621,f329(f329(f23(f917(x88621,a904)),x88622),f329(f329(f311(x88621),x88623),f191(f917(x88621,a904)))))),f10(x88621,x88622))
% 192.24/192.22 [8863]~P112(x88631)+~P1(f329(f62(x88631),x88632))+E(f329(f329(f23(f917(x88631,a904)),x88632),f329(f329(f311(x88631),x88633),f191(f917(x88631,a904)))),f191(f917(x88631,a904)))+~P1(f329(f329(f331(x88631),x88633),x88632))+E(f329(f329(f237(x88631),x88633),f14(x88631,f329(f329(f23(f917(x88631,a904)),x88632),f329(f329(f311(x88631),x88633),f191(f917(x88631,a904)))))),f14(x88631,x88632))
% 192.24/192.22 [8864]~P112(x88641)+~P1(f329(f62(x88641),x88642))+E(f329(f329(f23(f917(x88641,a904)),x88642),f329(f329(f311(x88641),x88643),f191(f917(x88641,a904)))),f191(f917(x88641,a904)))+~P1(f329(f329(f331(x88641),x88643),x88642))+E(f329(f329(f238(x88641),x88643),f15(x88641,f329(f329(f23(f917(x88641,a904)),x88642),f329(f329(f311(x88641),x88643),f191(f917(x88641,a904)))))),f15(x88641,x88642))
% 192.24/192.22 [8924]~P112(x89241)+~P1(f329(f62(x89241),x89242))+E(f329(f329(f23(f917(x89241,a904)),x89242),f329(f329(f311(x89241),x89243),f191(f917(x89241,a904)))),f191(f917(x89241,a904)))+~P1(f329(f329(f331(x89241),x89243),x89242))+E(f329(f329(f238(x89241),x89243),f11(x89241,f238(x89241),f329(f329(f23(f917(x89241,a904)),x89242),f329(f329(f311(x89241),x89243),f191(f917(x89241,a904)))))),f11(x89241,f238(x89241),x89242))
% 192.24/192.22 [8925]~P112(x89251)+~P1(f329(f62(x89251),x89252))+E(f329(f329(f23(f917(x89251,a904)),x89252),f329(f329(f311(x89251),x89253),f191(f917(x89251,a904)))),f191(f917(x89251,a904)))+~P1(f329(f329(f331(x89251),x89253),x89252))+E(f329(f329(f237(x89251),x89253),f12(x89251,f237(x89251),f329(f329(f23(f917(x89251,a904)),x89252),f329(f329(f311(x89251),x89253),f191(f917(x89251,a904)))))),f12(x89251,f237(x89251),x89252))
% 192.24/192.22 [8938]~P2(x89381)+~P1(f329(f62(x89381),x89383))+~P1(f329(f62(x89381),x89382))+E(f329(f329(f106(f917(x89381,a904)),x89382),x89383),f191(f917(x89381,a904)))+E(f329(f329(f115(x89381),f13(x89381,f329(f329(f115(f917(x89381,a904)),x89382),x89383))),f13(x89381,f329(f329(f106(f917(x89381,a904)),x89382),x89383))),f329(f329(f115(x89381),f13(x89381,x89382)),f13(x89381,x89383)))
% 192.24/192.22 [8939]~P2(x89391)+~P1(f329(f62(x89391),x89393))+~P1(f329(f62(x89391),x89392))+E(f329(f329(f106(f917(x89391,a904)),x89392),x89393),f191(f917(x89391,a904)))+E(f329(f329(f106(x89391),f10(x89391,f329(f329(f115(f917(x89391,a904)),x89392),x89393))),f10(x89391,f329(f329(f106(f917(x89391,a904)),x89392),x89393))),f329(f329(f106(x89391),f10(x89391,x89392)),f10(x89391,x89393)))
% 192.24/192.22 [8940]~P112(x89401)+~P1(f329(f62(x89401),x89403))+~P1(f329(f62(x89401),x89402))+E(f329(f329(f106(f917(x89401,a904)),x89402),x89403),f191(f917(x89401,a904)))+E(f329(f329(f237(x89401),f14(x89401,f329(f329(f115(f917(x89401,a904)),x89402),x89403))),f14(x89401,f329(f329(f106(f917(x89401,a904)),x89402),x89403))),f329(f329(f237(x89401),f14(x89401,x89402)),f14(x89401,x89403)))
% 192.24/192.22 [8941]~P112(x89411)+~P1(f329(f62(x89411),x89413))+~P1(f329(f62(x89411),x89412))+E(f329(f329(f106(f917(x89411,a904)),x89412),x89413),f191(f917(x89411,a904)))+E(f329(f329(f238(x89411),f15(x89411,f329(f329(f115(f917(x89411,a904)),x89412),x89413))),f15(x89411,f329(f329(f106(f917(x89411,a904)),x89412),x89413))),f329(f329(f238(x89411),f15(x89411,x89412)),f15(x89411,x89413)))
% 192.24/192.22 [9163]~P112(x91631)+~P1(f329(f62(x91631),x91633))+~P1(f329(f62(x91631),x91632))+E(f329(f329(f106(f917(x91631,a904)),x91632),x91633),f191(f917(x91631,a904)))+E(f329(f329(f237(x91631),f12(x91631,f237(x91631),f329(f329(f115(f917(x91631,a904)),x91632),x91633))),f12(x91631,f237(x91631),f329(f329(f106(f917(x91631,a904)),x91632),x91633))),f329(f329(f237(x91631),f12(x91631,f237(x91631),x91632)),f12(x91631,f237(x91631),x91633)))
% 192.24/192.22 [9164]~P112(x91641)+~P1(f329(f62(x91641),x91643))+~P1(f329(f62(x91641),x91642))+E(f329(f329(f106(f917(x91641,a904)),x91642),x91643),f191(f917(x91641,a904)))+E(f329(f329(f238(x91641),f11(x91641,f238(x91641),f329(f329(f115(f917(x91641,a904)),x91642),x91643))),f11(x91641,f238(x91641),f329(f329(f106(f917(x91641,a904)),x91642),x91643))),f329(f329(f238(x91641),f11(x91641,f238(x91641),x91642)),f11(x91641,f238(x91641),x91643)))
% 192.24/192.22 [9966]~P126(x99663)+E(x99661,x99662)+~P1(f329(f329(f239(x99663),f2(x99663)),x99662))+~P1(f329(f329(f239(x99663),f2(x99663)),x99661))+~E(f329(f329(f249(x99663),x99661),f329(f108(a909),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(x99663),x99662),f329(f108(a909),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)))))
% 192.24/192.22 [6453]E(f862(x64531,x64532,x64533),x64534)+E(f329(x64531,x64534),f2(a909))+~E(f329(f329(f6(x64533,a909),x64531),x64532),f80(a909))+~P1(f329(f62(x64533),x64532))+~P1(f329(f329(f331(x64533),x64534),x64532))
% 192.24/192.22 [6518]E(f864(x65181,x65182,x65183),x65184)+E(f329(x65181,x65184),f2(a909))+~E(f329(f329(f6(x65183,a909),x65181),x65182),f329(a117,f2(a909)))+~P1(f329(f62(x65183),x65182))+~P1(f329(f329(f331(x65183),x65184),x65182))
% 192.24/192.22 [6627]~P112(x66271)+~P11(x66271)+P1(f329(f329(f240(x66271),x66272),f38(x66271,x66273)))+~P1(f329(f329(f240(x66271),x66272),x66274))+~P1(f329(f329(f331(x66271),x66274),x66273))
% 192.24/192.22 [6800]~P112(x68001)+~P11(x68001)+~P1(f329(f329(f240(x68001),x68004),x68003))+P1(f329(f329(f240(x68001),f39(x68001,x68002)),x68003))+~P1(f329(f329(f331(x68001),x68004),x68002))
% 192.24/192.22 [7055]~P126(x70553)+E(x70551,x70552)+~E(f329(f329(f249(x70553),x70551),f329(a117,x70554)),f329(f329(f249(x70553),x70552),f329(a117,x70554)))+~P1(f329(f329(f239(x70553),f2(x70553)),x70552))+~P1(f329(f329(f239(x70553),f2(x70553)),x70551))
% 192.24/192.22 [7263]~E(f866(x72632,x72633,x72631,x72634),x72634)+~E(f329(x72632,x72634),f80(a909))+E(f329(f329(f6(x72631,a909),x72632),x72633),f80(a909))+~P1(f329(f62(x72631),x72633))+~P1(f329(f329(f331(x72631),x72634),x72633))
% 192.24/192.22 [7270]~P116(x72704)+~P136(x72704)+E(f329(x72701,f880(x72701,x72702,x72703,x72704)),f2(x72704))+~E(f329(f329(f9(x72703,x72704),x72701),x72702),f2(x72704))+~P1(f329(f62(x72703),x72702))
% 192.24/192.22 [7360]~E(f865(x73602,x73603,x73601,x73604),x73604)+~E(f329(x73602,x73604),f329(a117,f2(a909)))+E(f329(f329(f6(x73601,a909),x73602),x73603),f329(a117,f2(a909)))+~P1(f329(f62(x73601),x73603))+~P1(f329(f329(f331(x73601),x73604),x73603))
% 192.24/192.22 [8115]~E(f329(x81152,x81154),f80(a909))+~E(f329(x81152,f866(x81152,x81153,x81151,x81154)),f2(a909))+E(f329(f329(f6(x81151,a909),x81152),x81153),f80(a909))+~P1(f329(f62(x81151),x81153))+~P1(f329(f329(f331(x81151),x81154),x81153))
% 192.24/192.22 [8159]~E(f329(x81592,x81594),f329(a117,f2(a909)))+~E(f329(x81592,f865(x81592,x81593,x81591,x81594)),f2(a909))+E(f329(f329(f6(x81591,a909),x81592),x81593),f329(a117,f2(a909)))+~P1(f329(f62(x81591),x81593))+~P1(f329(f329(f331(x81591),x81594),x81593))
% 192.24/192.22 [8723]~P112(x87231)+~P19(x87231,x87234)+P19(x87231,x87232)+~E(x87232,f329(f329(f154(x87231),x87233),x87234))+~P1(f329(f329(f239(x87231),x87233),f751(x87232,x87231,x87234,x87233)))
% 192.24/192.22 [8758]E(x87581,x87582)+E(f329(f329(f82(a1),f376(x87583,x87582,x87584,x87581)),f377(x87583,x87582,x87584,x87581)),x87581)+~E(f329(f329(f23(a1),x87581),x87584),x87582)+~P1(f329(f329(f240(a1),f2(a1)),x87584))+~P1(f329(f329(f331(a1),x87582),x87583))
% 192.24/192.22 [8759]E(x87591,x87592)+E(f329(f329(f23(a1),f378(x87593,x87592,x87594,x87591)),f379(x87593,x87592,x87594,x87591)),x87591)+~E(f329(f329(f82(a1),x87591),x87594),x87592)+~P1(f329(f329(f240(a1),f2(a1)),x87594))+~P1(f329(f329(f331(a1),x87592),x87593))
% 192.24/192.22 [8936]E(f329(x89361,f589(x89362,x89361,x89363,x89364)),x89362)+P1(f329(f329(f239(a909),x89364),f590(x89362,x89361,x89363,x89364)))+~P1(f329(f329(f239(a1),x89362),f329(x89361,x89363)))+~P1(f329(f329(f240(a909),x89364),x89363))+~P1(f329(f329(f239(a1),f329(x89361,x89364)),x89362))
% 192.24/192.22 [8937]~P112(x89371)+~P19(x89371,x89373)+P19(x89371,x89372)+~E(x89372,f329(f329(f154(x89371),x89374),x89373))+P1(f329(f329(f331(x89371),f751(x89372,x89371,x89373,x89374)),f329(f175(x89371),x89373)))
% 192.24/192.22 [8955]~P116(x89554)+~P136(x89554)+~E(f329(f329(f9(x89551,x89554),x89552),x89553),f2(x89554))+~P1(f329(f62(x89551),x89553))+P1(f329(f329(f331(x89551),f880(x89552,x89553,x89551,x89554)),x89553))
% 192.24/192.22 [8992]~E(f329(x89922,x89924),f80(a909))+E(f329(f329(f6(x89921,a909),x89922),x89923),f80(a909))+~P1(f329(f62(x89921),x89923))+~P1(f329(f329(f331(x89921),x89924),x89923))+P1(f329(f329(f331(x89921),f866(x89922,x89923,x89921,x89924)),x89923))
% 192.24/192.22 [9004]E(x90041,x90042)+~E(f329(f329(f82(a1),x90042),x90044),x90041)+~P1(f329(f329(f240(a1),f2(a1)),x90044))+~P1(f329(f329(f331(a1),x90041),x90043))+P1(f329(f329(f331(a1),f378(x90043,x90041,x90044,x90042)),x90043))
% 192.24/192.22 [9005]E(x90051,x90052)+~E(f329(f329(f23(a1),x90052),x90054),x90051)+~P1(f329(f329(f240(a1),f2(a1)),x90054))+~P1(f329(f329(f331(a1),x90051),x90053))+P1(f329(f329(f331(a1),f376(x90053,x90051,x90054,x90052)),x90053))
% 192.24/192.22 [9007]~E(f329(x90072,x90074),f329(a117,f2(a909)))+E(f329(f329(f6(x90071,a909),x90072),x90073),f329(a117,f2(a909)))+~P1(f329(f62(x90071),x90073))+~P1(f329(f329(f331(x90071),x90074),x90073))+P1(f329(f329(f331(x90071),f865(x90072,x90073,x90071,x90074)),x90073))
% 192.24/192.22 [9012]P67(x90122,x90123,x90124,x90121)+E(x90121,f191(f917(x90122,a904)))+~P1(f329(f62(x90122),x90124))+~P1(f329(f62(x90122),x90121))+P1(f329(f329(f331(x90122),f823(x90123,x90121,x90124,x90122)),x90124))
% 192.24/192.22 [9013]P67(x90132,x90133,x90134,x90131)+E(x90131,f191(f917(x90132,a904)))+~P1(f329(f62(x90132),x90134))+~P1(f329(f62(x90132),x90131))+P1(f329(f329(f331(x90132),f527(x90131,x90134,x90133,x90132)),x90134))
% 192.24/192.22 [9014]P67(x90142,x90143,x90144,x90141)+E(x90141,f191(f917(x90142,a904)))+~P1(f329(f62(x90142),x90144))+~P1(f329(f62(x90142),x90141))+P1(f329(f329(f331(x90142),f824(x90141,x90144,x90143,x90142)),x90144))
% 192.24/192.22 [9092]E(x90921,x90922)+~E(f329(f329(f82(a1),x90922),x90924),x90921)+~P1(f329(f329(f240(a1),f2(a1)),x90924))+~P1(f329(f329(f331(a1),x90921),x90923))+P1(f329(f329(f331(a1),f379(x90923,x90921,x90924,x90922)),f305(a1,f80(a1),x90924)))
% 192.24/192.22 [9093]E(x90931,x90932)+~E(f329(f329(f23(a1),x90932),x90934),x90931)+~P1(f329(f329(f240(a1),f2(a1)),x90934))+~P1(f329(f329(f331(a1),x90931),x90933))+P1(f329(f329(f331(a1),f377(x90933,x90931,x90934,x90932)),f305(a1,f80(a1),x90934)))
% 192.24/192.22 [9169]P1(f329(f329(f239(a909),x91691),f589(x91692,x91693,x91694,x91691)))+~P1(f329(f329(f239(a1),x91692),f329(x91693,x91694)))+P1(f329(f329(f239(a909),x91691),f590(x91692,x91693,x91694,x91691)))+~P1(f329(f329(f240(a909),x91691),x91694))+~P1(f329(f329(f239(a1),f329(x91693,x91691)),x91692))
% 192.24/192.22 [9292]E(f329(x92921,f589(x92922,x92921,x92923,x92924)),x92922)+~P1(f329(f329(f239(a1),x92922),f329(x92921,x92923)))+P1(f329(f329(f240(a909),f590(x92922,x92921,x92923,x92924)),x92923))+~P1(f329(f329(f240(a909),x92924),x92923))+~P1(f329(f329(f239(a1),f329(x92921,x92924)),x92922))
% 192.24/192.22 [9418]~P1(f329(f329(f239(a1),x94182),f329(x94183,x94184)))+P1(f329(f329(f239(a909),x94181),f590(x94182,x94183,x94184,x94181)))+P1(f329(f329(f239(a909),f589(x94182,x94183,x94184,x94181)),x94184))+~P1(f329(f329(f240(a909),x94181),x94184))+~P1(f329(f329(f239(a1),f329(x94183,x94181)),x94182))
% 192.24/192.22 [9419]~P1(f329(f329(f239(a1),x94192),f329(x94193,x94194)))+P1(f329(f329(f239(a909),x94191),f589(x94192,x94193,x94194,x94191)))+P1(f329(f329(f240(a909),f590(x94192,x94193,x94194,x94191)),x94194))+~P1(f329(f329(f240(a909),x94191),x94194))+~P1(f329(f329(f239(a1),f329(x94193,x94191)),x94192))
% 192.24/192.22 [9525]~P1(f329(f329(f239(a1),x95251),f329(x95252,x95253)))+P1(f329(f329(f239(a909),f589(x95251,x95252,x95253,x95254)),x95253))+~P1(f329(f329(f240(a909),x95254),x95253))+~P1(f329(f329(f239(a1),f329(x95252,x95254)),x95251))+P1(f329(f329(f240(a909),f590(x95251,x95252,x95253,x95254)),x95253))
% 192.24/192.22 [9612]E(x96121,f191(f917(x96122,a904)))+~P1(f329(f62(x96122),x96124))+~P1(f329(f62(x96122),x96121))+P1(f329(f329(f331(f916(f917(x96122,a904),f917(x96122,a904))),f329(f329(f257(f917(x96122,a904),f917(x96122,a904)),x96124),x96121)),f320(x96122,x96123)))+P1(f329(f329(f331(x96122),f532(x96123,x96121,x96124,x96122)),x96124))
% 192.24/192.22 [9613]E(x96131,f191(f917(x96132,a904)))+~P1(f329(f62(x96132),x96134))+~P1(f329(f62(x96132),x96131))+P1(f329(f329(f331(f916(f917(x96132,a904),f917(x96132,a904))),f329(f329(f257(f917(x96132,a904),f917(x96132,a904)),x96134),x96131)),f320(x96132,x96133)))+P1(f329(f329(f331(x96132),f591(x96133,x96131,x96134,x96132)),x96134))
% 192.24/192.22 [10269]E(f329(x102691,f589(x102692,x102691,x102693,x102694)),x102692)+~P1(f329(f329(f239(a1),x102692),f329(x102691,x102693)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102691,f329(f329(f82(a909),f590(x102692,x102691,x102693,x102694)),f80(a909)))),f329(x102691,f590(x102692,x102691,x102693,x102694))))),f80(a1)))+~P1(f329(f329(f240(a909),x102694),x102693))+~P1(f329(f329(f239(a1),f329(x102691,x102694)),x102692))
% 192.24/192.22 [10270]~P1(f329(f329(f239(a1),x102702),f329(x102703,x102704)))+P1(f329(f329(f239(a909),x102701),f589(x102702,x102703,x102704,x102701)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102703,f329(f329(f82(a909),f590(x102702,x102703,x102704,x102701)),f80(a909)))),f329(x102703,f590(x102702,x102703,x102704,x102701))))),f80(a1)))+~P1(f329(f329(f240(a909),x102701),x102704))+~P1(f329(f329(f239(a1),f329(x102703,x102701)),x102702))
% 192.24/192.22 [10271]~P1(f329(f329(f239(a1),x102711),f329(x102712,x102713)))+~P1(f329(f329(f239(a1),f329(f77(a1),f329(f329(f23(a1),f329(x102712,f329(f329(f82(a909),f590(x102711,x102712,x102713,x102714)),f80(a909)))),f329(x102712,f590(x102711,x102712,x102713,x102714))))),f80(a1)))+~P1(f329(f329(f240(a909),x102714),x102713))+~P1(f329(f329(f239(a1),f329(x102712,x102714)),x102711))+P1(f329(f329(f239(a909),f589(x102711,x102712,x102713,x102714)),x102713))
% 192.24/192.22 [7323]~P72(x73231)+P1(f329(f329(f240(x73231),x73232),f2(x73231)))+~P1(f329(f329(f240(x73231),x73233),f2(x73231)))+P1(f329(f329(f240(x73231),f2(x73231)),x73232))+P1(f329(f329(f240(x73231),x73233),f329(f329(f292(x73231),x73234),x73232)))
% 192.24/192.22 [7324]~P72(x73241)+P1(f329(f329(f240(x73241),x73242),f2(x73241)))+~P1(f329(f329(f239(x73241),x73243),f2(x73241)))+P1(f329(f329(f240(x73241),f2(x73241)),x73242))+P1(f329(f329(f239(x73241),x73243),f329(f329(f292(x73241),x73244),x73242)))
% 192.24/192.22 [7587]~P72(x75871)+P1(f329(f329(f240(x75871),x75872),f2(x75871)))+P1(f329(f329(f240(x75871),x75873),f2(x75871)))+P1(f329(f329(f240(x75871),f2(x75871)),x75873))+~P1(f329(f329(f240(x75871),x75872),f329(f329(f292(x75871),x75874),x75873)))
% 192.24/192.22 [7588]~P72(x75881)+P1(f329(f329(f240(x75881),x75882),f2(x75881)))+P1(f329(f329(f239(x75881),x75883),f2(x75881)))+P1(f329(f329(f240(x75881),f2(x75881)),x75882))+~P1(f329(f329(f239(x75881),x75883),f329(f329(f292(x75881),x75884),x75882)))
% 192.24/192.22 [7703]E(x77031,x77032)+~E(f329(f329(f167(x77033),x77034),x77031),f329(f329(f167(x77033),x77034),x77032))+~P1(f329(f140(x77033),x77034))+~P1(f329(f329(f240(a909),x77032),f329(f192(f910(x77033)),x77034)))+~P1(f329(f329(f240(a909),x77031),f329(f192(f910(x77033)),x77034)))
% 192.24/192.22 [8075]~P72(x80751)+~P1(f329(f329(f240(x80751),x80753),f2(x80751)))+P1(f329(f329(f240(x80751),f2(x80751)),x80752))+~P1(f329(f329(f240(x80751),x80754),f329(f329(f83(x80751),x80753),x80752)))+P1(f329(f329(f240(x80751),x80753),f329(f329(f292(x80751),x80754),x80752)))
% 192.24/192.22 [8076]~P72(x80761)+~P1(f329(f329(f239(x80761),x80763),f2(x80761)))+P1(f329(f329(f240(x80761),f2(x80761)),x80762))+~P1(f329(f329(f239(x80761),x80764),f329(f329(f83(x80761),x80763),x80762)))+P1(f329(f329(f239(x80761),x80763),f329(f329(f292(x80761),x80764),x80762)))
% 192.24/192.22 [8077]~P72(x80771)+~P1(f329(f329(f240(x80771),x80772),f2(x80771)))+P1(f329(f329(f240(x80771),f2(x80771)),x80772))+~P1(f329(f329(f240(x80771),x80774),f329(f329(f83(x80771),x80773),x80772)))+P1(f329(f329(f240(x80771),x80773),f329(f329(f292(x80771),x80774),x80772)))
% 192.24/192.22 [8078]~P72(x80781)+~P1(f329(f329(f240(x80781),x80782),f2(x80781)))+P1(f329(f329(f240(x80781),f2(x80781)),x80782))+~P1(f329(f329(f240(x80781),x80784),f329(f329(f292(x80781),x80783),x80782)))+P1(f329(f329(f240(x80781),x80783),f329(f329(f83(x80781),x80784),x80782)))
% 192.24/192.22 [8079]~P72(x80791)+~P1(f329(f329(f240(x80791),x80792),f2(x80791)))+P1(f329(f329(f240(x80791),f2(x80791)),x80792))+~P1(f329(f329(f239(x80791),x80794),f329(f329(f83(x80791),x80793),x80792)))+P1(f329(f329(f239(x80791),x80793),f329(f329(f292(x80791),x80794),x80792)))
% 192.24/192.22 [8080]~P72(x80801)+~P1(f329(f329(f240(x80801),x80802),f2(x80801)))+P1(f329(f329(f240(x80801),f2(x80801)),x80802))+~P1(f329(f329(f239(x80801),x80804),f329(f329(f292(x80801),x80803),x80802)))+P1(f329(f329(f239(x80801),x80803),f329(f329(f83(x80801),x80804),x80802)))
% 192.24/192.22 [8230]~P112(x82301)+~P19(x82301,x82302)+~P1(f329(f329(f239(a909),x82303),x82304))+P1(f329(f329(f239(x82301),f329(f329(f167(x82301),x82302),x82303)),f329(f329(f167(x82301),x82302),x82304)))+~P1(f329(f329(f240(a909),x82304),f329(f192(f910(x82301)),x82302)))
% 192.24/192.22 [8280]~P126(x82801)+~P1(f329(f329(f240(x82801),x82802),f80(x82801)))+~P1(f329(f329(f240(x82801),f2(x82801)),x82802))+~P1(f329(f329(f240(a909),x82804),x82803))+P1(f329(f329(f240(x82801),f329(f329(f249(x82801),x82802),x82803)),f329(f329(f249(x82801),x82802),x82804)))
% 192.24/192.22 [8281]~P126(x82811)+~P1(f329(f329(f239(x82811),x82812),f80(x82811)))+~P1(f329(f329(f239(x82811),f2(x82811)),x82812))+~P1(f329(f329(f239(a909),x82814),x82813))+P1(f329(f329(f239(x82811),f329(f329(f249(x82811),x82812),x82813)),f329(f329(f249(x82811),x82812),x82814)))
% 192.24/192.22 [8282]~P126(x82821)+~P1(f329(f329(f239(x82821),f2(x82821)),x82822))+~P1(f329(f329(f240(a909),f2(a909)),x82823))+~P1(f329(f329(f240(x82821),x82822),x82824))+P1(f329(f329(f240(x82821),f329(f329(f249(x82821),x82822),x82823)),f329(f329(f249(x82821),x82824),x82823)))
% 192.24/192.22 [8301]~P112(x83011)+~P19(x83011,f329(f171(x83011),x83012))+~P1(f329(f329(f239(a909),x83014),x83013))+P1(f329(f329(f239(x83011),f329(f329(f167(x83011),x83012),x83013)),f329(f329(f167(x83011),x83012),x83014)))+~P1(f329(f329(f240(a909),x83013),f329(f192(f910(x83011)),x83012)))
% 192.24/192.22 [8549]~P73(x85491)+~P1(f329(f329(f240(x85491),x85492),f2(x85491)))+~P1(f329(f329(f240(x85491),x85493),x85494))+~P1(f329(f329(f240(x85491),f2(x85491)),f329(f329(f83(x85491),x85493),x85494)))+P1(f329(f329(f240(x85491),f329(f329(f292(x85491),x85492),x85493)),f329(f329(f292(x85491),x85492),x85494)))
% 192.24/192.22 [8550]~P72(x85501)+~P1(f329(f329(f239(x85501),x85502),f2(x85501)))+~P1(f329(f329(f239(x85501),x85503),x85504))+~P1(f329(f329(f240(x85501),f2(x85501)),f329(f329(f83(x85501),x85503),x85504)))+P1(f329(f329(f239(x85501),f329(f329(f292(x85501),x85502),x85503)),f329(f329(f292(x85501),x85502),x85504)))
% 192.24/192.22 [8559]~P73(x85591)+~P1(f329(f329(f240(x85591),x85594),x85593))+~P1(f329(f329(f240(x85591),f2(x85591)),x85592))+~P1(f329(f329(f240(x85591),f2(x85591)),f329(f329(f83(x85591),x85593),x85594)))+P1(f329(f329(f240(x85591),f329(f329(f292(x85591),x85592),x85593)),f329(f329(f292(x85591),x85592),x85594)))
% 192.24/192.22 [8560]~P73(x85601)+~P1(f329(f329(f239(x85601),x85604),x85603))+~P1(f329(f329(f239(x85601),f2(x85601)),x85602))+~P1(f329(f329(f240(x85601),f2(x85601)),f329(f329(f83(x85601),x85603),x85604)))+P1(f329(f329(f239(x85601),f329(f329(f292(x85601),x85602),x85603)),f329(f329(f292(x85601),x85602),x85604)))
% 192.24/192.22 [8673]P1(f329(x86731,x86732))+~P1(f329(f62(x86734),x86732))+P1(f329(x86731,f886(x86731,x86733,x86732,x86734)))+~P1(f329(x86731,f191(f917(x86734,a904))))+~P1(f329(f329(f239(f917(x86734,a904)),x86732),x86733))
% 192.24/192.22 [8681]P1(f329(x86811,x86812))+P1(f329(f62(x86813),f886(x86811,x86814,x86812,x86813)))+~P1(f329(f62(x86813),x86812))+~P1(f329(x86811,f191(f917(x86813,a904))))+~P1(f329(f329(f239(f917(x86813,a904)),x86812),x86814))
% 192.24/192.22 [8931]E(f329(f329(f82(a1),f385(x89311,x89312,x89313,x89314)),f386(x89311,x89312,x89313,x89314)),x89314)+~P1(f329(f329(f240(a1),f2(a1)),x89313))+~P1(f329(f329(f240(a1),x89312),x89314))+~P1(f329(f329(f331(a1),x89312),x89311))+P1(f329(f329(f240(a1),x89312),f329(f329(f23(a1),x89314),x89313)))
% 192.24/192.22 [9149]~P1(f329(f329(f240(a1),f2(a1)),x91493))+~P1(f329(f329(f240(a1),x91492),x91494))+~P1(f329(f329(f331(a1),x91492),x91491))+P1(f329(f329(f331(a1),f385(x91491,x91492,x91493,x91494)),x91491))+P1(f329(f329(f240(a1),x91492),f329(f329(f23(a1),x91494),x91493)))
% 192.24/192.22 [9162]P1(f329(x91621,x91622))+~P1(f329(f62(x91623),x91622))+P1(f329(f329(f331(x91623),f887(x91621,x91624,x91622,x91623)),x91624))+~P1(f329(x91621,f191(f917(x91623,a904))))+~P1(f329(f329(f239(f917(x91623,a904)),x91622),x91624))
% 192.24/192.22 [9179]E(f329(f329(f82(a1),f380(x91791,x91792,x91793,x91794)),f381(x91791,x91792,x91793,x91794)),x91794)+~P1(f329(f329(f240(a1),f2(a1)),x91793))+~P1(f329(f329(f239(a1),x91792),x91794))+P1(f329(f329(f239(a1),x91792),f329(f329(f23(a1),x91794),x91793)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x91792),f80(a1))),x91791))
% 192.24/192.22 [9233]~P1(f329(f329(f240(a1),f2(a1)),x92333))+~P1(f329(f329(f240(a1),x92331),x92332))+~P1(f329(f329(f331(a1),x92331),x92334))+P1(f329(f329(f331(a1),f386(x92334,x92331,x92333,x92332)),f305(a1,f80(a1),x92333)))+P1(f329(f329(f240(a1),x92331),f329(f329(f23(a1),x92332),x92333)))
% 192.24/192.22 [9265]~P77(x92652)+~E(f807(x92653,x92654,x92651,x92652),f808(x92653,x92654,x92651,x92652))+~P1(f329(f62(x92651),f809(x92653,x92654,x92651,x92652)))+E(f329(f329(f6(f917(x92651,a904),x92652),f329(f6(x92651,x92652),x92653)),x92654),f329(f329(f6(x92651,x92652),x92653),f38(f917(x92651,a904),x92654)))+~P1(f329(f62(f917(x92651,a904)),x92654))
% 192.24/192.22 [9270]~P77(x92702)+~E(f329(x92703,f810(x92703,x92704,x92701,x92702)),f2(x92702))+~P1(f329(f62(x92701),f809(x92703,x92704,x92701,x92702)))+E(f329(f329(f6(f917(x92701,a904),x92702),f329(f6(x92701,x92702),x92703)),x92704),f329(f329(f6(x92701,x92702),x92703),f38(f917(x92701,a904),x92704)))+~P1(f329(f62(f917(x92701,a904)),x92704))
% 192.24/192.22 [9337]~P1(f329(f329(f240(a1),f2(a1)),x93373))+~P1(f329(f329(f239(a1),x93372),x93374))+P1(f329(f329(f331(a1),f380(x93371,x93372,x93373,x93374)),x93371))+P1(f329(f329(f239(a1),x93372),f329(f329(f23(a1),x93374),x93373)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93372),f80(a1))),x93371))
% 192.24/192.22 [9377]~P1(f329(f329(f240(a1),f2(a1)),x93773))+~P1(f329(f329(f239(a1),x93771),x93772))+P1(f329(f329(f331(a1),f381(x93774,x93771,x93773,x93772)),f305(a1,f80(a1),x93773)))+P1(f329(f329(f239(a1),x93771),f329(f329(f23(a1),x93772),x93773)))+~P1(f329(f329(f331(a1),f329(f329(f23(a1),x93771),f80(a1))),x93774))
% 192.24/192.22 [9398]~P77(x93982)+~E(f807(x93983,x93984,x93981,x93982),f808(x93983,x93984,x93981,x93982))+E(f329(f329(f6(f917(x93981,a904),x93982),f329(f6(x93981,x93982),x93983)),x93984),f329(f329(f6(x93981,x93982),x93983),f38(f917(x93981,a904),x93984)))+P1(f329(f329(f331(f917(x93981,a904)),f809(x93983,x93984,x93981,x93982)),x93984))+~P1(f329(f62(f917(x93981,a904)),x93984))
% 192.24/192.22 [9403]~P77(x94032)+~E(f329(x94033,f810(x94033,x94034,x94031,x94032)),f2(x94032))+E(f329(f329(f6(f917(x94031,a904),x94032),f329(f6(x94031,x94032),x94033)),x94034),f329(f329(f6(x94031,x94032),x94033),f38(f917(x94031,a904),x94034)))+P1(f329(f329(f331(f917(x94031,a904)),f809(x94033,x94034,x94031,x94032)),x94034))+~P1(f329(f62(f917(x94031,a904)),x94034))
% 192.24/192.22 [9503]~P77(x95032)+~P1(f329(f62(x95031),f809(x95033,x95034,x95031,x95032)))+E(f329(f329(f6(f917(x95031,a904),x95032),f329(f6(x95031,x95032),x95033)),x95034),f329(f329(f6(x95031,x95032),x95033),f38(f917(x95031,a904),x95034)))+P1(f329(f329(f331(f917(x95031,a904)),f808(x95033,x95034,x95031,x95032)),x95034))+~P1(f329(f62(f917(x95031,a904)),x95034))
% 192.24/192.22 [9504]~P77(x95042)+~P1(f329(f62(x95041),f809(x95043,x95044,x95041,x95042)))+E(f329(f329(f6(f917(x95041,a904),x95042),f329(f6(x95041,x95042),x95043)),x95044),f329(f329(f6(x95041,x95042),x95043),f38(f917(x95041,a904),x95044)))+P1(f329(f329(f331(f917(x95041,a904)),f807(x95043,x95044,x95041,x95042)),x95044))+~P1(f329(f62(f917(x95041,a904)),x95044))
% 192.24/192.22 [9582]~P77(x95822)+E(f329(f329(f6(f917(x95821,a904),x95822),f329(f6(x95821,x95822),x95823)),x95824),f329(f329(f6(x95821,x95822),x95823),f38(f917(x95821,a904),x95824)))+P1(f329(f329(f331(f917(x95821,a904)),f809(x95823,x95824,x95821,x95822)),x95824))+P1(f329(f329(f331(f917(x95821,a904)),f808(x95823,x95824,x95821,x95822)),x95824))+~P1(f329(f62(f917(x95821,a904)),x95824))
% 192.24/192.22 [9583]~P77(x95832)+E(f329(f329(f6(f917(x95831,a904),x95832),f329(f6(x95831,x95832),x95833)),x95834),f329(f329(f6(x95831,x95832),x95833),f38(f917(x95831,a904),x95834)))+P1(f329(f329(f331(f917(x95831,a904)),f809(x95833,x95834,x95831,x95832)),x95834))+P1(f329(f329(f331(f917(x95831,a904)),f807(x95833,x95834,x95831,x95832)),x95834))+~P1(f329(f62(f917(x95831,a904)),x95834))
% 192.24/192.22 [9601]~P77(x96012)+P1(f329(f329(f331(x96011),f810(x96013,x96014,x96011,x96012)),f808(x96013,x96014,x96011,x96012)))+~P1(f329(f62(x96011),f809(x96013,x96014,x96011,x96012)))+E(f329(f329(f6(f917(x96011,a904),x96012),f329(f6(x96011,x96012),x96013)),x96014),f329(f329(f6(x96011,x96012),x96013),f38(f917(x96011,a904),x96014)))+~P1(f329(f62(f917(x96011,a904)),x96014))
% 192.24/192.22 [9602]~P77(x96022)+P1(f329(f329(f331(x96021),f810(x96023,x96024,x96021,x96022)),f807(x96023,x96024,x96021,x96022)))+~P1(f329(f62(x96021),f809(x96023,x96024,x96021,x96022)))+E(f329(f329(f6(f917(x96021,a904),x96022),f329(f6(x96021,x96022),x96023)),x96024),f329(f329(f6(x96021,x96022),x96023),f38(f917(x96021,a904),x96024)))+~P1(f329(f62(f917(x96021,a904)),x96024))
% 192.24/192.22 [9615]P1(f329(x96151,x96152))+~P1(f329(f329(f331(x96153),f887(x96151,x96154,x96152,x96153)),f886(x96151,x96154,x96152,x96153)))+~P1(f329(f62(x96153),x96152))+~P1(f329(x96151,f191(f917(x96153,a904))))+~P1(f329(f329(f239(f917(x96153,a904)),x96152),x96154))
% 192.24/192.22 [9653]~P77(x96532)+P1(f329(f329(f331(x96531),f810(x96533,x96534,x96531,x96532)),f808(x96533,x96534,x96531,x96532)))+E(f329(f329(f6(f917(x96531,a904),x96532),f329(f6(x96531,x96532),x96533)),x96534),f329(f329(f6(x96531,x96532),x96533),f38(f917(x96531,a904),x96534)))+P1(f329(f329(f331(f917(x96531,a904)),f809(x96533,x96534,x96531,x96532)),x96534))+~P1(f329(f62(f917(x96531,a904)),x96534))
% 192.24/192.22 [9654]~P77(x96542)+P1(f329(f329(f331(x96541),f810(x96543,x96544,x96541,x96542)),f807(x96543,x96544,x96541,x96542)))+E(f329(f329(f6(f917(x96541,a904),x96542),f329(f6(x96541,x96542),x96543)),x96544),f329(f329(f6(x96541,x96542),x96543),f38(f917(x96541,a904),x96544)))+P1(f329(f329(f331(f917(x96541,a904)),f809(x96543,x96544,x96541,x96542)),x96544))+~P1(f329(f62(f917(x96541,a904)),x96544))
% 192.24/192.22 [9830]P1(f329(x98301,x98302))+~P1(f329(f62(x98303),x98302))+~P1(f329(x98301,f329(f329(f311(x98303),f887(x98301,x98304,x98302,x98303)),f886(x98301,x98304,x98302,x98303))))+~P1(f329(x98301,f191(f917(x98303,a904))))+~P1(f329(f329(f239(f917(x98303,a904)),x98302),x98304))
% 192.24/192.22 [7838]~P72(x78381)+P1(f329(f329(f240(x78381),x78382),f2(x78381)))+P1(f329(f329(f240(x78381),f2(x78381)),x78382))+~P1(f329(f329(f240(x78381),f2(x78381)),x78384))+P1(f329(f329(f240(x78381),f329(f329(f292(x78381),x78383),x78382)),x78384))
% 192.24/192.22 [7839]~P72(x78391)+P1(f329(f329(f240(x78391),x78392),f2(x78391)))+~P1(f329(f329(f239(x78391),f2(x78391)),x78394))+P1(f329(f329(f240(x78391),f2(x78391)),x78392))+P1(f329(f329(f239(x78391),f329(f329(f292(x78391),x78393),x78392)),x78394))
% 192.24/192.22 [8062]~P11(x80621)+~P47(x80621,x80621,x80624)+~E(x80623,f101(x80621,x80624))+P1(f329(f329(f239(x80621),x80622),x80623))+~P1(f329(f329(f239(x80621),x80622),f329(x80624,f329(f329(f115(x80621),x80622),x80623))))
% 192.24/192.22 [8131]~P1(f329(f329(f239(a1),x81314),f2(a1)))+~E(x81312,f329(f329(f82(a1),f329(f329(f83(a1),x81311),x81313)),x81314))+P1(f329(f329(f240(a1),f2(a1)),x81311))+~P1(f329(f329(f240(a1),x81311),x81314))+P1(f329(f50(x81312,x81311),f329(f329(f257(a1,a1),x81313),x81314)))
% 192.24/192.22 [8170]~P1(f329(x81701,x81704))+P1(f329(x81701,f363(x81702,x81701,x81703)))+~P1(f329(f329(f240(a1),f2(a1)),x81703))+~P1(f329(f329(f239(a1),f2(a1)),x81702))+P1(f329(x81701,f329(f329(f23(a1),x81704),f329(f329(f83(a1),x81702),x81703))))
% 192.24/192.22 [8171]~P1(f329(x81711,x81714))+P1(f329(x81711,f364(x81712,x81711,x81713)))+~P1(f329(f329(f240(a1),f2(a1)),x81713))+~P1(f329(f329(f239(a1),f2(a1)),x81712))+P1(f329(x81711,f329(f329(f82(a1),x81714),f329(f329(f83(a1),x81712),x81713))))
% 192.24/192.22 [8172]~P72(x81721)+P1(f329(f329(f240(x81721),x81722),f2(x81721)))+P1(f329(f329(f240(x81721),f2(x81721)),x81722))+P1(f329(f329(f240(x81721),f2(x81721)),x81723))+~P1(f329(f329(f240(x81721),f329(f329(f292(x81721),x81724),x81722)),x81723))
% 192.24/192.22 [8173]~P72(x81731)+P1(f329(f329(f240(x81731),x81732),f2(x81731)))+P1(f329(f329(f240(x81731),f2(x81731)),x81732))+P1(f329(f329(f239(x81731),f2(x81731)),x81733))+~P1(f329(f329(f239(x81731),f329(f329(f292(x81731),x81734),x81732)),x81733))
% 192.24/192.22 [8225]~E(x82251,f329(f329(f82(a1),f329(f329(f83(a1),x82252),x82253)),x82254))+~P1(f329(f329(f240(a1),f2(a1)),x82252))+~P1(f329(f329(f239(a1),f2(a1)),x82254))+~P1(f329(f329(f240(a1),x82254),x82252))+P1(f329(f50(x82251,x82252),f329(f329(f257(a1,a1),x82253),x82254)))
% 192.24/192.22 [8341]~P72(x83411)+P1(f329(f329(f240(x83411),x83412),f2(x83411)))+~P1(f329(f329(f240(x83411),f2(x83411)),x83414))+~P1(f329(f329(f240(x83411),x83413),f329(f329(f83(x83411),x83414),x83412)))+P1(f329(f329(f240(x83411),f329(f329(f292(x83411),x83413),x83412)),x83414))
% 192.24/192.22 [8342]~P72(x83421)+P1(f329(f329(f240(x83421),x83422),f2(x83421)))+~P1(f329(f329(f239(x83421),f2(x83421)),x83424))+~P1(f329(f329(f239(x83421),x83423),f329(f329(f83(x83421),x83424),x83422)))+P1(f329(f329(f239(x83421),f329(f329(f292(x83421),x83423),x83422)),x83424))
% 192.24/192.22 [8427]~P72(x84271)+P1(f329(f329(f240(x84271),x84272),f2(x84271)))+~P1(f329(f329(f240(x84271),x84273),f2(x84271)))+P1(f329(f329(f240(x84271),x84273),f329(f329(f292(x84271),x84274),x84272)))+~P1(f329(f329(f240(x84271),f329(f329(f83(x84271),x84273),x84272)),x84274))
% 192.24/192.22 [8428]~P72(x84281)+P1(f329(f329(f240(x84281),x84282),f2(x84281)))+~P1(f329(f329(f239(x84281),x84283),f2(x84281)))+P1(f329(f329(f239(x84281),x84283),f329(f329(f292(x84281),x84284),x84282)))+~P1(f329(f329(f239(x84281),f329(f329(f83(x84281),x84283),x84282)),x84284))
% 192.24/192.22 [8587]~P72(x85871)+~P1(f329(f329(f240(x85871),x85872),f2(x85871)))+P1(f329(f329(f240(x85871),f2(x85871)),x85872))+~P1(f329(f329(f240(x85871),f329(f329(f292(x85871),x85874),x85872)),x85873))+P1(f329(f329(f240(x85871),f329(f329(f83(x85871),x85873),x85872)),x85874))
% 192.24/192.22 [8588]~P72(x85881)+~P1(f329(f329(f240(x85881),x85882),f2(x85881)))+P1(f329(f329(f240(x85881),f2(x85881)),x85882))+~P1(f329(f329(f240(x85881),f329(f329(f83(x85881),x85884),x85882)),x85883))+P1(f329(f329(f240(x85881),f329(f329(f292(x85881),x85883),x85882)),x85884))
% 192.24/192.22 [8589]~P72(x85891)+~P1(f329(f329(f240(x85891),x85892),f2(x85891)))+P1(f329(f329(f240(x85891),f2(x85891)),x85892))+~P1(f329(f329(f239(x85891),f329(f329(f292(x85891),x85894),x85892)),x85893))+P1(f329(f329(f239(x85891),f329(f329(f83(x85891),x85893),x85892)),x85894))
% 192.24/192.22 [8590]~P72(x85901)+~P1(f329(f329(f240(x85901),x85902),f2(x85901)))+P1(f329(f329(f240(x85901),f2(x85901)),x85902))+~P1(f329(f329(f239(x85901),f329(f329(f83(x85901),x85904),x85902)),x85903))+P1(f329(f329(f239(x85901),f329(f329(f292(x85901),x85903),x85902)),x85904))
% 192.24/192.22 [8609]~P72(x86091)+~P1(f329(f329(f240(x86091),f2(x86091)),x86094))+P1(f329(f329(f240(x86091),f2(x86091)),x86092))+~P1(f329(f329(f240(x86091),f329(f329(f83(x86091),x86094),x86092)),x86093))+P1(f329(f329(f240(x86091),f329(f329(f292(x86091),x86093),x86092)),x86094))
% 192.24/192.22 [8610]~P72(x86101)+~P1(f329(f329(f239(x86101),f2(x86101)),x86104))+P1(f329(f329(f240(x86101),f2(x86101)),x86102))+~P1(f329(f329(f239(x86101),f329(f329(f83(x86101),x86104),x86102)),x86103))+P1(f329(f329(f239(x86101),f329(f329(f292(x86101),x86103),x86102)),x86104))
% 192.24/192.22 [8689]~P72(x86891)+~P1(f329(f329(f240(x86891),x86894),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))
% 192.24/192.22 [8690]~P72(x86901)+~P1(f329(f329(f240(x86901),x86902),f2(x86901)))+~P1(f329(f329(f240(x86901),x86903),f329(f329(f83(x86901),x86902),x86904)))+P1(f329(f329(f240(x86901),x86902),f329(f329(f292(x86901),x86903),x86904)))+~P1(f329(f329(f240(x86901),f329(f329(f83(x86901),x86902),x86904)),x86903))
% 192.24/192.22 [8691]~P72(x86911)+~P1(f329(f329(f240(x86911),x86914),f2(x86911)))+~P1(f329(f329(f239(x86911),x86913),f329(f329(f83(x86911),x86912),x86914)))+P1(f329(f329(f239(x86911),x86912),f329(f329(f292(x86911),x86913),x86914)))+~P1(f329(f329(f239(x86911),f329(f329(f83(x86911),x86912),x86914)),x86913))
% 192.24/192.22 [8692]~P72(x86921)+~P1(f329(f329(f239(x86921),x86922),f2(x86921)))+~P1(f329(f329(f239(x86921),x86923),f329(f329(f83(x86921),x86922),x86924)))+P1(f329(f329(f239(x86921),x86922),f329(f329(f292(x86921),x86923),x86924)))+~P1(f329(f329(f239(x86921),f329(f329(f83(x86921),x86922),x86924)),x86923))
% 192.24/192.22 [8805]~P72(x88051)+~P1(f329(f329(f240(x88051),x88053),f2(x88051)))+~P1(f329(f329(f240(x88051),x88052),f329(f329(f83(x88051),x88054),x88053)))+~P1(f329(f329(f240(x88051),f329(f329(f83(x88051),x88054),x88053)),x88052))+P1(f329(f329(f240(x88051),f329(f329(f292(x88051),x88052),x88053)),x88054))
% 192.24/192.22 [8806]~P72(x88061)+~P1(f329(f329(f240(x88061),x88063),f2(x88061)))+~P1(f329(f329(f239(x88061),x88062),f329(f329(f83(x88061),x88064),x88063)))+~P1(f329(f329(f239(x88061),f329(f329(f83(x88061),x88064),x88063)),x88062))+P1(f329(f329(f239(x88061),f329(f329(f292(x88061),x88062),x88063)),x88064))
% 192.24/192.22 [8822]~P72(x88221)+~P1(f329(f329(f240(x88221),f2(x88221)),x88224))+~P1(f329(f329(f240(x88221),x88222),f329(f329(f83(x88221),x88224),x88223)))+~P1(f329(f329(f240(x88221),f329(f329(f83(x88221),x88224),x88223)),x88222))+P1(f329(f329(f240(x88221),f329(f329(f292(x88221),x88222),x88223)),x88224))
% 192.24/192.22 [8823]~P72(x88231)+~P1(f329(f329(f239(x88231),f2(x88231)),x88234))+~P1(f329(f329(f239(x88231),x88232),f329(f329(f83(x88231),x88234),x88233)))+~P1(f329(f329(f239(x88231),f329(f329(f83(x88231),x88234),x88233)),x88232))+P1(f329(f329(f239(x88231),f329(f329(f292(x88231),x88232),x88233)),x88234))
% 192.24/192.22 [8997]E(f329(f329(f23(a1),f387(x89971,x89972,x89973,x89974)),f388(x89971,x89972,x89973,x89974)),x89974)+~P1(f329(f329(f240(a1),f2(a1)),x89973))+~P1(f329(f329(f331(a1),x89972),x89971))+~P1(f329(f329(f240(a1),x89974),x89972))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x89974),x89973)),x89972))
% 192.24/192.22 [9074]~P1(f329(x90741,x90742))+~P1(f329(f329(f240(a1),f2(a1)),x90744))+~P1(f329(f329(f239(a1),f2(a1)),x90743))+~P1(f329(x90741,f329(f329(f82(a1),f364(x90743,x90741,x90744)),x90744)))+P1(f329(x90741,f329(f329(f82(a1),x90742),f329(f329(f83(a1),x90743),x90744))))
% 192.24/192.22 [9075]~P1(f329(x90751,x90752))+~P1(f329(f329(f240(a1),f2(a1)),x90754))+~P1(f329(f329(f239(a1),f2(a1)),x90753))+~P1(f329(x90751,f329(f329(f23(a1),f363(x90753,x90751,x90754)),x90754)))+P1(f329(x90751,f329(f329(f23(a1),x90752),f329(f329(f83(a1),x90753),x90754))))
% 192.24/192.22 [9226]~P1(f329(f329(f240(a1),f2(a1)),x92263))+~P1(f329(f329(f331(a1),x92262),x92261))+~P1(f329(f329(f240(a1),x92264),x92262))+P1(f329(f329(f331(a1),f387(x92261,x92262,x92263,x92264)),x92261))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x92264),x92263)),x92262))
% 192.24/192.22 [9246]E(f329(f329(f23(a1),f382(x92461,x92462,x92463,x92464)),f383(x92461,x92462,x92463,x92464)),x92464)+~P1(f329(f329(f240(a1),f2(a1)),x92463))+~P1(f329(f329(f239(a1),x92464),x92462))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x92462),f80(a1))),x92461))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x92464),x92463)),x92462))
% 192.24/192.22 [9282]~P1(f329(f329(f240(a1),f2(a1)),x92822))+~P1(f329(f329(f331(a1),x92823),x92824))+~P1(f329(f329(f240(a1),x92821),x92823))+P1(f329(f329(f331(a1),f388(x92824,x92823,x92822,x92821)),f305(a1,f80(a1),x92822)))+P1(f329(f329(f240(a1),f329(f329(f82(a1),x92821),x92822)),x92823))
% 192.24/192.22 [9369]~P1(f329(f329(f240(a1),f2(a1)),x93693))+~P1(f329(f329(f239(a1),x93694),x93692))+P1(f329(f329(f331(a1),f382(x93691,x93692,x93693,x93694)),x93691))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x93692),f80(a1))),x93691))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x93694),x93693)),x93692))
% 192.24/192.22 [9414]~P1(f329(f329(f240(a1),f2(a1)),x94142))+~P1(f329(f329(f239(a1),x94141),x94143))+P1(f329(f329(f331(a1),f383(x94144,x94143,x94142,x94141)),f305(a1,f80(a1),x94142)))+~P1(f329(f329(f331(a1),f329(f329(f82(a1),x94143),f80(a1))),x94144))+P1(f329(f329(f239(a1),f329(f329(f82(a1),x94141),x94142)),x94143))
% 192.24/192.22 [9706]~P44(x97061,x97063)+~P33(x97061,x97064)+P44(x97061,f329(f329(f115(f917(f916(x97061,x97061),a904)),x97062),x97063))+~P1(f329(f329(f239(f917(f916(x97061,x97061),a904)),x97062),f329(f256(f917(f916(x97061,x97061),a904),f917(f916(x97061,x97061),a904)),x97064)))+~P1(f329(f329(f239(f917(f916(x97061,x97061),a904)),x97063),f329(f261(f917(f916(x97061,x97061),a904),f917(f916(x97061,x97061),a904)),x97064)))
% 192.24/192.22 [10085]~P24(x100852,x100854,x100853)+E(x100851,f191(f917(x100852,a904)))+~P1(f329(f62(x100852),x100851))+P1(f329(f329(f331(x100852),f329(x100853,x100851)),x100851))+~P1(f329(f329(f331(x100852),f329(f329(x100854,f627(x100851,x100853,x100854,x100852)),f636(x100851,x100853,x100854,x100852))),f329(f329(f311(x100852),f627(x100851,x100853,x100854,x100852)),f329(f329(f311(x100852),f636(x100851,x100853,x100854,x100852)),f191(f917(x100852,a904))))))
% 192.24/192.22 [8716]~P11(x87161)+~P47(x87161,x87161,x87164)+~E(x87162,f100(x87161,x87164))+P1(f329(f329(f239(x87161),x87162),x87163))+~P1(f329(f329(f239(x87161),f329(x87164,f329(f329(f106(x87161),x87162),x87163))),x87163))
% 192.24/192.22 [10019]~P113(x100192)+~P69(x100191)+~P1(f329(f329(f239(f917(x100191,x100192)),x100193),x100194))+P1(f329(f329(f240(f917(x100191,x100192)),x100193),x100194))+~P1(f329(f57(x100191),f329(f329(f8(a904,a904,x100191),a324),f329(f329(f18(x100191,x100192,a904),f329(f329(f8(x100192,f917(x100192,a904),x100191),a326),x100193)),x100194))))
% 192.24/192.22 [9622]~P63(x96221,x96221,x96224)+P1(f329(f329(f331(f916(x96221,x96221)),f329(f329(f257(x96221,x96221),x96222),x96223)),f309(x96221,x96224)))+P1(f329(f329(f331(f916(x96221,x96221)),f329(f329(f257(x96221,x96221),x96223),x96222)),f309(x96221,x96224)))+~P1(f329(f329(f331(f916(x96221,x96221)),f329(f329(f257(x96221,x96221),x96225),x96222)),f309(x96221,x96224)))+~P1(f329(f329(f331(f916(x96221,x96221)),f329(f329(f257(x96221,x96221),x96225),x96223)),f309(x96221,x96224)))
% 192.24/192.22 [5728]E(x57281,f2(a909))+~E(f329(f36(x57282),x57285),x57281)+E(f329(f36(x57282),x57283),f329(a117,x57281))+~E(x57283,f329(f329(f311(x57282),x57284),x57285))+P1(f329(f329(f331(x57282),x57284),x57285))
% 192.24/192.22 [5852]~P71(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))
% 192.24/192.22 [5853]~P71(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))
% 192.24/192.22 [5920]~E(f329(f36(x59201),x59205),x59203)+~E(x59205,f191(f917(x59201,a904)))+E(f329(f36(x59201),x59202),f329(a117,x59203))+~E(x59202,f329(f329(f311(x59201),x59204),x59205))+P1(f329(f329(f331(x59201),x59204),x59205))
% 192.24/192.22 [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))
% 192.24/192.22 [6531]~P112(x65313)+E(x65311,x65312)+~E(f329(f304(x65313,x65314),x65311),f329(f304(x65313,x65315),x65312))+~P1(f329(f329(f240(x65313),x65315),x65312))+~P1(f329(f329(f240(x65313),x65314),x65311))
% 192.24/192.22 [6532]~P112(x65323)+E(x65321,x65322)+~E(f329(f304(x65323,x65321),x65324),f329(f304(x65323,x65322),x65325))+~P1(f329(f329(f240(x65323),x65322),x65325))+~P1(f329(f329(f240(x65323),x65321),x65324))
% 192.24/192.22 [6698]~P113(x66981)+~P47(x66985,x66981,x66982)+~P113(x66985)+P1(f329(f329(f239(x66981),f329(x66982,x66983)),f329(x66982,x66984)))+~P1(f329(f329(f239(x66985),x66983),x66984))
% 192.24/192.22 [7604]~P112(x76041)+~P19(x76041,f329(f329(f137(x76041),x76044),x76045))+~P1(f329(f329(f331(x76041),x76043),f329(f175(x76041),x76045)))+~P1(f329(f329(f331(x76041),x76042),f329(f175(x76041),x76044)))+P1(f329(f329(f239(x76041),x76042),x76043))
% 192.24/192.22 [8725]~P113(x87251)+~P1(f329(f329(f240(f917(x87251,a904)),f305(x87251,x87255,x87252)),f305(x87251,x87254,x87253)))+~P1(f329(f329(f239(x87251),x87255),x87252))+P1(f329(f329(f240(x87251),x87252),x87253))+P1(f329(f329(f240(x87251),x87254),x87255))
% 192.24/192.22 [9743]~P47(f917(x97434,a904),f917(x97434,a904),x97435)+P1(f329(x97431,x97432))+~E(x97433,f100(f917(x97434,a904),x97435))+~P1(f329(x97431,f483(x97431,x97432,x97435,x97434,x97433)))+~P1(f329(f329(f331(x97434),x97432),x97433))
% 192.24/192.22 [10128]~P23(x101282,x101285,x101283)+E(x101281,f191(f917(x101282,a904)))+~E(f329(f329(x101285,f329(x101284,f669(x101281,x101284,x101283,x101285,x101282))),f329(x101284,f681(x101281,x101284,x101283,x101285,x101282))),f329(x101284,f329(f329(x101285,f669(x101281,x101284,x101283,x101285,x101282)),f681(x101281,x101284,x101283,x101285,x101282))))+E(f329(x101283,f329(f312(x101282,x101282,x101284),x101281)),f329(x101284,f329(x101283,x101281)))+~P1(f329(f62(x101282),x101281))
% 192.24/192.22 [6528]~P24(x65282,x65285,x65283)+E(x65281,f191(f917(x65282,a904)))+~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))
% 192.24/192.22 [7351]~P23(x73512,x73513,x73514)+E(f329(f329(x73513,f329(x73514,x73511)),f329(x73514,x73515)),f329(x73514,x73515))+E(x73511,f191(f917(x73512,a904)))+~P1(f329(f62(x73512),x73515))+~P1(f329(f329(f239(f917(x73512,a904)),x73511),x73515))
% 192.24/192.22 [7736]~P24(x77364,x77365,x77361)+E(f329(x77361,x77362),x77363)+~P1(f329(f62(x77364),x77362))+~E(f329(f329(f23(f917(x77364,a904)),x77362),f329(f329(f311(x77364),x77363),f191(f917(x77364,a904)))),f191(f917(x77364,a904)))+~P1(f329(f329(f331(x77364),x77363),x77362))
% 192.24/192.22 [8696]E(x86961,x86962)+~P14(x86963,x86964,x86965)+E(f329(f329(f106(f917(x86963,a904)),x86961),x86962),f191(f917(x86963,a904)))+~P1(f329(f329(f331(f917(x86963,a904)),x86962),f329(f329(f61(x86963),x86964),x86965)))+~P1(f329(f329(f331(f917(x86963,a904)),x86961),f329(f329(f61(x86963),x86964),x86965)))
% 192.24/192.22 [9496]~P77(x94962)+~E(f329(x94963,f882(x94963,x94964,x94965,x94961,x94962)),f2(x94962))+E(f329(f329(f6(x94961,x94962),x94963),x94964),f329(f329(f6(x94961,x94962),x94963),x94965))+~P1(f329(f62(x94961),x94965))+~P1(f329(f329(f239(f917(x94961,a904)),x94964),x94965))
% 192.24/192.22 [9497]~P77(x94972)+~E(f329(x94973,f883(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(f239(f917(x94971,a904)),x94974),x94975))
% 192.24/192.22 [9498]~P80(x94982)+~E(f329(x94983,f404(x94983,x94984,x94985,x94981,x94982)),f80(x94982))+E(f329(f329(f9(x94981,x94982),x94983),x94984),f329(f329(f9(x94981,x94982),x94983),x94985))+~P1(f329(f62(x94981),x94985))+~P1(f329(f329(f239(f917(x94981,a904)),x94984),x94985))
% 192.24/192.22 [9499]~P80(x94992)+~E(f329(x94993,f405(x94993,x94994,x94995,x94991,x94992)),f80(x94992))+E(f329(f329(f9(x94991,x94992),x94993),x94994),f329(f329(f9(x94991,x94992),x94993),x94995))+~P1(f329(f62(x94991),x94995))+~P1(f329(f329(f239(f917(x94991,a904)),x94994),x94995))
% 192.24/192.22 [9919]~P47(f917(x99191,a904),f917(x99191,a904),f329(f329(f8(f917(x99191,a904),f917(x99191,a904),f917(x99191,a904)),f267(x99191)),x99194))+~P1(f329(f329(x99194,f329(f329(f115(f917(x99191,a904)),x99195),x99193)),f481(x99195,x99192,x99194,x99191,x99193)))+~E(x99193,f101(f917(x99191,a904),f329(f329(f8(f917(x99191,a904),f917(x99191,a904),f917(x99191,a904)),f267(x99191)),x99194)))+P1(f329(f329(f331(x99191),x99192),x99193))+~P1(f329(f329(f331(x99191),x99192),x99195))
% 192.24/192.22 [9923]~P47(f917(x99231,a904),f917(x99231,a904),f329(f329(f8(f917(x99231,a904),f917(x99231,a904),f917(x99231,a904)),f267(x99231)),x99235))+~E(x99233,f101(f917(x99231,a904),f329(f329(f8(f917(x99231,a904),f917(x99231,a904),f917(x99231,a904)),f267(x99231)),x99235)))+~P1(f329(f329(f331(x99231),x99232),x99234))+P1(f329(f329(f331(x99231),f481(x99234,x99232,x99235,x99231,x99233)),x99234))+P1(f329(f329(f331(x99231),x99232),x99233))
% 192.24/192.22 [9974]~P91(x99741)+~P1(f329(f62(x99742),x99745))+~P1(f329(f329(f239(x99741),f2(x99741)),f329(x99743,f873(x99743,x99744,x99745,x99742,x99741))))+P1(f329(f329(f239(x99741),f329(f329(f6(x99742,x99741),x99743),x99744)),f329(f329(f6(x99742,x99741),x99743),x99745)))+~P1(f329(f329(f239(f917(x99742,a904)),x99744),x99745))
% 192.24/192.22 [7601]E(x76011,f2(a909))+P1(f329(x76012,x76013))+~E(x76014,f329(f329(f82(a909),f329(f329(f83(a909),x76011),x76013)),x76015))+~P1(f329(f329(f240(a909),x76015),x76011))+~P1(f329(x76012,f329(f329(f37(a909),x76014),x76011)))
% 192.24/192.22 [7676]E(x76761,f2(a909))+P1(f329(x76762,x76763))+~P1(f329(x76762,f46(a909,x76764,x76761)))+~E(x76764,f329(f329(f82(a909),f329(f329(f83(a909),x76761),x76765)),x76763))+~P1(f329(f329(f240(a909),x76763),x76761))
% 192.24/192.22 [7975]~P71(x79753)+E(f329(x79751,x79752),f2(x79753))+~P1(f329(f62(x79754),x79755))+E(f329(f329(f9(x79754,x79753),x79751),f329(f329(f23(f917(x79754,a904)),x79755),f329(f329(f311(x79754),x79752),f191(f917(x79754,a904))))),f329(f329(f9(x79754,x79753),x79751),x79755))+P1(f329(f329(f331(x79754),x79752),x79755))
% 192.24/192.22 [8381]~P77(x83811)+~P1(f329(f62(x83812),x83815))+~P1(f329(f62(x83812),x83814))+~E(f329(f329(f106(f917(x83812,a904)),x83814),x83815),f191(f917(x83812,a904)))+E(f329(f329(f82(x83811),f329(f329(f6(x83812,x83811),x83813),x83814)),f329(f329(f6(x83812,x83811),x83813),x83815)),f329(f329(f6(x83812,x83811),x83813),f329(f329(f115(f917(x83812,a904)),x83814),x83815)))
% 192.24/192.22 [8383]~P80(x83831)+~P1(f329(f62(x83832),x83835))+~P1(f329(f62(x83832),x83834))+~E(f329(f329(f106(f917(x83832,a904)),x83834),x83835),f191(f917(x83832,a904)))+E(f329(f329(f83(x83831),f329(f329(f9(x83832,x83831),x83833),x83834)),f329(f329(f9(x83832,x83831),x83833),x83835)),f329(f329(f9(x83832,x83831),x83833),f329(f329(f115(f917(x83832,a904)),x83834),x83835)))
% 192.24/192.22 [8482]~P71(x84823)+E(f329(x84821,x84822),f2(x84823))+~P1(f329(f62(x84824),x84825))+E(f329(f329(f9(x84824,x84823),x84821),f329(f329(f23(f917(x84824,a904)),x84825),f329(f329(f311(x84824),x84822),f191(f917(x84824,a904))))),f329(f329(f292(x84823),f329(f329(f9(x84824,x84823),x84821),x84825)),f329(x84821,x84822)))+~P1(f329(f329(f331(x84824),x84822),x84825))
% 192.24/192.22 [9203]~P14(x92031,x92035,x92034)+~E(f329(f329(f61(x92031),f329(f329(f311(x92031),x92032),f191(f917(x92031,a904)))),x92034),f329(f329(f61(x92031),f329(f329(f311(x92031),x92033),f191(f917(x92031,a904)))),x92034))+~P1(f329(f329(f331(x92031),x92033),x92035))+~P1(f329(f329(f331(x92031),x92032),x92035))+P1(f329(f329(f331(f916(x92031,x92031)),f329(f329(f257(x92031,x92031),x92032),x92033)),x92034))
% 192.24/192.22 [9225]~P14(x92251,x92255,x92253)+E(f329(f329(f61(x92251),f329(f329(f311(x92251),x92252),f191(f917(x92251,a904)))),x92253),f329(f329(f61(x92251),f329(f329(f311(x92251),x92254),f191(f917(x92251,a904)))),x92253))+~P1(f329(f329(f331(x92251),x92254),x92255))+~P1(f329(f329(f331(x92251),x92252),x92255))+~P1(f329(f329(f331(f916(x92251,x92251)),f329(f329(f257(x92251,x92251),x92252),x92254)),x92253))
% 192.24/192.22 [9524]~P80(x95241)+~P1(f329(f62(x95242),x95245))+~P1(f329(f62(x95242),x95244))+~E(f329(f329(f106(f917(x95242,a904)),x95244),x95245),f191(f917(x95242,a904)))+E(f329(f329(f83(x95241),f329(f329(f329(f66(x95241,x95242,f83(x95241)),x95243),f80(x95241)),x95244)),f329(f329(f329(f66(x95241,x95242,f83(x95241)),x95243),f80(x95241)),x95245)),f329(f329(f329(f66(x95241,x95242,f83(x95241)),x95243),f80(x95241)),f329(f329(f115(f917(x95242,a904)),x95244),x95245)))
% 192.24/192.22 [9533]~P77(x95331)+~E(f329(x95333,f869(x95333,x95335,x95334,x95332,x95331)),f2(x95331))+~P1(f329(f62(x95332),x95334))+~P1(f329(f62(x95332),x95335))+E(f329(f329(f82(x95331),f329(f329(f6(x95332,x95331),x95333),x95334)),f329(f329(f6(x95332,x95331),x95333),x95335)),f329(f329(f6(x95332,x95331),x95333),f329(f329(f115(f917(x95332,a904)),x95334),x95335)))
% 192.24/192.22 [9534]~P77(x95341)+~E(f329(x95343,f871(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(f917(x95342,a904)),x95344),x95345)))
% 192.24/192.22 [9535]~P80(x95351)+~E(f329(x95353,f897(x95353,x95355,x95354,x95352,x95351)),f80(x95351))+~P1(f329(f62(x95352),x95354))+~P1(f329(f62(x95352),x95355))+E(f329(f329(f83(x95351),f329(f329(f9(x95352,x95351),x95353),x95354)),f329(f329(f9(x95352,x95351),x95353),x95355)),f329(f329(f9(x95352,x95351),x95353),f329(f329(f115(f917(x95352,a904)),x95354),x95355)))
% 192.24/192.22 [9536]~P80(x95361)+~E(f329(x95363,f900(x95363,x95365,x95364,x95362,x95361)),f80(x95361))+~P1(f329(f62(x95362),x95364))+~P1(f329(f62(x95362),x95365))+E(f329(f329(f83(x95361),f329(f329(f9(x95362,x95361),x95363),x95364)),f329(f329(f9(x95362,x95361),x95363),x95365)),f329(f329(f9(x95362,x95361),x95363),f329(f329(f115(f917(x95362,a904)),x95364),x95365)))
% 192.24/192.22 [9751]~P80(x97511)+~E(f329(x97513,f870(x97513,x97515,x97514,x97512,x97511)),f80(x97511))+~P1(f329(f62(x97512),x97514))+~P1(f329(f62(x97512),x97515))+E(f329(f329(f83(x97511),f329(f329(f329(f66(x97511,x97512,f83(x97511)),x97513),f80(x97511)),x97514)),f329(f329(f329(f66(x97511,x97512,f83(x97511)),x97513),f80(x97511)),x97515)),f329(f329(f329(f66(x97511,x97512,f83(x97511)),x97513),f80(x97511)),f329(f329(f115(f917(x97512,a904)),x97514),x97515)))
% 192.24/192.22 [9860]~P77(x98602)+E(f329(f329(f6(x98601,x98602),x98603),x98604),f329(f329(f6(x98601,x98602),x98603),x98605))+~P1(f329(f62(x98601),x98605))+~P1(f329(f329(f239(f917(x98601,a904)),x98604),x98605))+P1(f329(f329(f331(x98601),f882(x98603,x98604,x98605,x98601,x98602)),f329(f329(f23(f917(x98601,a904)),x98605),x98604)))
% 192.24/192.22 [9861]~P77(x98612)+E(f329(f329(f6(x98611,x98612),x98613),x98614),f329(f329(f6(x98611,x98612),x98613),x98615))+~P1(f329(f62(x98611),x98615))+~P1(f329(f329(f239(f917(x98611,a904)),x98614),x98615))+P1(f329(f329(f331(x98611),f883(x98613,x98614,x98615,x98611,x98612)),f329(f329(f23(f917(x98611,a904)),x98615),x98614)))
% 192.24/192.22 [9862]~P80(x98622)+E(f329(f329(f9(x98621,x98622),x98623),x98624),f329(f329(f9(x98621,x98622),x98623),x98625))+~P1(f329(f62(x98621),x98625))+~P1(f329(f329(f239(f917(x98621,a904)),x98624),x98625))+P1(f329(f329(f331(x98621),f404(x98623,x98624,x98625,x98621,x98622)),f329(f329(f23(f917(x98621,a904)),x98625),x98624)))
% 192.24/192.22 [9863]~P80(x98632)+E(f329(f329(f9(x98631,x98632),x98633),x98634),f329(f329(f9(x98631,x98632),x98633),x98635))+~P1(f329(f62(x98631),x98635))+~P1(f329(f329(f239(f917(x98631,a904)),x98634),x98635))+P1(f329(f329(f331(x98631),f405(x98633,x98634,x98635,x98631,x98632)),f329(f329(f23(f917(x98631,a904)),x98635),x98634)))
% 192.24/192.22 [9881]~P77(x98811)+~P1(f329(f62(x98812),x98814))+~P1(f329(f62(x98812),x98815))+E(f329(f329(f82(x98811),f329(f329(f6(x98812,x98811),x98813),x98814)),f329(f329(f6(x98812,x98811),x98813),x98815)),f329(f329(f6(x98812,x98811),x98813),f329(f329(f115(f917(x98812,a904)),x98814),x98815)))+P1(f329(f329(f331(x98812),f869(x98813,x98815,x98814,x98812,x98811)),f329(f329(f106(f917(x98812,a904)),x98814),x98815)))
% 192.24/192.22 [9882]~P77(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(f917(x98822,a904)),x98824),x98825)))+P1(f329(f329(f331(x98822),f871(x98823,x98825,x98824,x98822,x98821)),f329(f329(f106(f917(x98822,a904)),x98824),x98825)))
% 192.24/192.22 [9883]~P80(x98831)+~P1(f329(f62(x98832),x98834))+~P1(f329(f62(x98832),x98835))+E(f329(f329(f83(x98831),f329(f329(f9(x98832,x98831),x98833),x98834)),f329(f329(f9(x98832,x98831),x98833),x98835)),f329(f329(f9(x98832,x98831),x98833),f329(f329(f115(f917(x98832,a904)),x98834),x98835)))+P1(f329(f329(f331(x98832),f897(x98833,x98835,x98834,x98832,x98831)),f329(f329(f106(f917(x98832,a904)),x98834),x98835)))
% 192.24/192.22 [9884]~P80(x98841)+~P1(f329(f62(x98842),x98844))+~P1(f329(f62(x98842),x98845))+E(f329(f329(f83(x98841),f329(f329(f9(x98842,x98841),x98843),x98844)),f329(f329(f9(x98842,x98841),x98843),x98845)),f329(f329(f9(x98842,x98841),x98843),f329(f329(f115(f917(x98842,a904)),x98844),x98845)))+P1(f329(f329(f331(x98842),f900(x98843,x98845,x98844,x98842,x98841)),f329(f329(f106(f917(x98842,a904)),x98844),x98845)))
% 192.24/192.22 [9887]~P47(f917(x98873,a904),f917(x98873,a904),x98874)+P1(f329(x98871,x98872))+~E(x98875,f100(f917(x98873,a904),x98874))+~P1(f329(f329(f331(x98873),x98872),x98875))+P1(f329(f329(f331(x98873),f483(x98871,x98872,x98874,x98873,x98875)),f329(x98874,f329(f329(f106(f917(x98873,a904)),x98875),f329(f267(x98873),x98871)))))
% 192.24/192.22 [9891]~P91(x98915)+~P1(f329(f62(x98911),x98914))+P1(f329(f329(f239(x98915),f329(f329(f6(x98911,x98915),x98912),x98913)),f329(f329(f6(x98911,x98915),x98912),x98914)))+~P1(f329(f329(f239(f917(x98911,a904)),x98913),x98914))+P1(f329(f329(f331(x98911),f873(x98912,x98913,x98914,x98911,x98915)),f329(f329(f23(f917(x98911,a904)),x98914),x98913)))
% 192.24/192.23 [9937]~P80(x99371)+~P1(f329(f62(x99372),x99374))+~P1(f329(f62(x99372),x99375))+E(f329(f329(f83(x99371),f329(f329(f329(f66(x99371,x99372,f83(x99371)),x99373),f80(x99371)),x99374)),f329(f329(f329(f66(x99371,x99372,f83(x99371)),x99373),f80(x99371)),x99375)),f329(f329(f329(f66(x99371,x99372,f83(x99371)),x99373),f80(x99371)),f329(f329(f115(f917(x99372,a904)),x99374),x99375)))+P1(f329(f329(f331(x99372),f870(x99373,x99375,x99374,x99372,x99371)),f329(f329(f106(f917(x99372,a904)),x99374),x99375)))
% 192.24/192.23 [8889]~P24(x88891,x88894,x88895)+~P1(f329(f62(x88891),x88892))+E(f329(f329(f23(f917(x88891,a904)),x88892),f329(f329(f311(x88891),x88893),f191(f917(x88891,a904)))),f191(f917(x88891,a904)))+~P1(f329(f329(f331(x88891),x88893),x88892))+E(f329(f329(x88894,x88893),f329(x88895,f329(f329(f23(f917(x88891,a904)),x88892),f329(f329(f311(x88891),x88893),f191(f917(x88891,a904)))))),f329(x88895,x88892))
% 192.24/192.23 [8965]~P24(x89651,x89654,x89655)+~P1(f329(f62(x89651),x89653))+~P1(f329(f62(x89651),x89652))+E(f329(f329(f106(f917(x89651,a904)),x89652),x89653),f191(f917(x89651,a904)))+E(f329(f329(x89654,f329(x89655,f329(f329(f115(f917(x89651,a904)),x89652),x89653))),f329(x89655,f329(f329(f106(f917(x89651,a904)),x89652),x89653))),f329(f329(x89654,f329(x89655,x89652)),f329(x89655,x89653)))
% 192.24/192.23 [9152]~P47(f917(x91521,a904),f917(x91521,a904),x91524)+~E(x91523,f101(f917(x91521,a904),x91524))+P1(f329(f329(f331(x91521),x91522),x91523))+~P1(f329(f329(f331(x91521),x91522),x91525))+~P1(f329(f329(f239(f917(x91521,a904)),x91525),f329(x91524,f329(f329(f115(f917(x91521,a904)),x91525),x91523))))
% 192.24/192.23 [9538]~P1(f329(f329(f239(a1),x95384),f2(a1)))+~P1(f329(f329(f240(a1),x95383),x95385))+P1(f329(f329(f239(a1),x95381),x95382))+~P1(f329(f329(f240(a1),x95383),x95384))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95383),x95382)),x95385)),f329(f329(f82(a1),f329(f329(f83(a1),x95383),x95381)),x95384)))
% 192.24/192.23 [9540]~P1(f329(f329(f239(a1),f2(a1)),x95405))+P1(f329(f329(f239(a1),x95401),x95402))+~P1(f329(f329(f240(a1),x95403),x95404))+~P1(f329(f329(f240(a1),x95405),x95404))+~P1(f329(f329(f239(a1),f329(f329(f82(a1),f329(f329(f83(a1),x95404),x95401)),x95405)),f329(f329(f82(a1),f329(f329(f83(a1),x95404),x95402)),x95403)))
% 192.24/192.23 [9658]~P71(x96585)+E(f329(x96581,f354(x96581,x96582,x96583,x96584,x96585)),f2(x96585))+~P1(f329(f62(x96584),x96583))+~P1(f329(f62(x96584),x96582))+E(f329(f329(f292(x96585),f329(f329(f83(x96585),f329(f329(f9(x96584,x96585),x96581),x96583)),f329(f329(f9(x96584,x96585),x96581),x96582))),f329(f329(f9(x96584,x96585),x96581),f329(f329(f106(f917(x96584,a904)),x96583),x96582))),f329(f329(f9(x96584,x96585),x96581),f329(f329(f115(f917(x96584,a904)),x96583),x96582)))
% 192.24/192.23 [9929]~P71(x99291)+~P1(f329(f62(x99292),x99294))+~P1(f329(f62(x99292),x99295))+E(f329(f329(f292(x99291),f329(f329(f83(x99291),f329(f329(f9(x99292,x99291),x99293),x99294)),f329(f329(f9(x99292,x99291),x99293),x99295))),f329(f329(f9(x99292,x99291),x99293),f329(f329(f106(f917(x99292,a904)),x99294),x99295))),f329(f329(f9(x99292,x99291),x99293),f329(f329(f115(f917(x99292,a904)),x99294),x99295)))+P1(f329(f329(f331(x99292),f354(x99293,x99295,x99294,x99292,x99291)),f329(f329(f106(f917(x99292,a904)),x99294),x99295)))
% 192.24/192.23 [9245]E(f329(f329(f137(x92451),x92452),x92453),f329(f329(f137(x92451),x92454),x92455))+~E(f329(f329(f178(x92451),f329(f192(f910(x92451)),x92454)),x92452),x92454)+~E(f329(f329(f178(x92451),f329(f192(f910(x92451)),x92452)),x92454),x92452)+~E(x92455,f329(f329(f137(x92451),f329(f329(f141(x92451),f329(f192(f910(x92451)),x92454)),x92452)),x92453))+~E(f329(f329(f137(x92451),f329(f329(f141(x92451),f329(f192(f910(x92451)),x92452)),x92454)),x92455),x92453)
% 192.24/192.23 [9656]~P112(x96562)+E(f329(f329(f151(x96561,x96562,x96563),x96564),f173(x96561,x96564,x96565)),x96565)+~P19(x96562,f329(f329(f157(x96561,x96562),x96563),x96565))+~P1(f329(f329(f331(x96561),x96564),f329(f175(x96561),x96565)))+~E(f329(f144(x96561),f329(f139(x96561,f329(f329(f8(x96562,a904,x96561),f329(a326,f329(x96563,x96564))),x96563)),x96565)),x96564)
% 192.24/192.23 [9991]~P75(x99911)+~P1(f329(f67(x99911,x99911,f83(x99911),x99912,x99913),x99915))+~P1(f329(f329(f331(x99911),x99914),x99913))+P1(f329(f329(f331(x99911),x99912),x99913))+P1(f329(f67(x99911,x99911,f83(x99911),x99914,f329(f329(f311(x99911),x99912),f329(f329(f23(f917(x99911,a904)),x99913),f329(f329(f311(x99911),x99914),f191(f917(x99911,a904)))))),x99915))
% 192.24/192.23 [10336]~P47(f917(x103361,a904),f917(x103361,a904),x103364)+~E(x103363,f101(f917(x103361,a904),x103364))+P1(f329(f329(f331(x103361),x103362),x103363))+~P1(f329(f329(f331(x103361),x103362),x103365))+~P1(f329(f329(f239(f917(x103361,a904)),x103365),f329(x103364,f100(f917(x103361,a904),f329(f329(f7(f917(x103361,a904),f917(x103361,a904),f917(x103361,a904)),f329(f329(f8(f917(x103361,a904),f917(f917(x103361,a904),f917(x103361,a904)),f917(x103361,a904)),f115(f917(x103361,a904))),f329(f329(f7(f917(x103361,a904),f917(x103361,a904),f917(x103361,a904)),f329(f329(f8(f917(x103361,a904),f917(f917(x103361,a904),f917(x103361,a904)),f917(x103361,a904)),f115(f917(x103361,a904))),x103364)),x103365))),x103363)))))
% 192.24/192.23 [7359]E(x73591,x73592)+~P31(x73594,x73595,x73593,x73596)+~E(f329(x73593,x73591),f329(x73593,x73592))+~P1(f329(f329(f331(x73594),x73592),x73596))+~P1(f329(f329(f331(x73594),x73591),x73596))
% 192.24/192.23 [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)))
% 192.24/192.23 [7656]~P112(x76561)+~P11(x76561)+~P1(f329(f329(f240(x76561),x76562),f329(x76565,x76566)))+~P1(f329(f329(f331(x76563),x76566),x76564))+P1(f329(f329(f240(x76561),x76562),f329(f329(f40(x76563,x76561),x76564),x76565)))
% 192.24/192.23 [8352]~P112(x83521)+~P11(x83521)+~P1(f329(f329(f240(x83521),f329(x83524,x83526)),x83525))+~P1(f329(f329(f331(x83522),x83526),x83523))+P1(f329(f329(f240(x83521),f329(f329(f41(x83522,x83521),x83523),x83524)),x83525))
% 192.24/192.23 [8616]~P25(x86162,x86165,x86166,x86161)+~P1(f329(f62(x86162),x86164))+~P1(f329(f62(x86162),x86163))+~E(f329(f329(f106(f917(x86162,a904)),x86163),x86164),f191(f917(x86162,a904)))+E(f329(x86161,f329(f329(f115(f917(x86162,a904)),x86163),x86164)),f329(f74(x86165,x86165,x86165,f329(x86161,x86163)),f329(x86161,x86164)))
% 192.24/192.23 [10185]~P80(x101851)+~E(f840(x101854,x101855,x101853,x101856,x101852,x101851),f841(x101854,x101855,x101853,x101856,x101852,x101851))+~P1(f329(f62(x101852),x101856))+E(f329(f329(f329(f66(x101851,x101852,f83(x101851)),f329(f329(f8(f917(x101853,a904),x101851,x101852),f329(f329(f66(x101851,x101853,f83(x101851)),x101854),f80(x101851))),x101855)),f80(x101851)),x101856),f329(f329(f329(f66(x101851,x101853,f83(x101851)),x101854),f80(x101851)),f329(f329(f40(x101852,f917(x101853,a904)),x101856),x101855)))+P1(f329(f329(f331(x101852),f839(x101854,x101855,x101853,x101856,x101852,x101851)),x101856))
% 192.24/192.23 [10215]~P80(x102151)+~E(f840(x102154,x102155,x102153,x102156,x102152,x102151),f841(x102154,x102155,x102153,x102156,x102152,x102151))+~P1(f329(f62(x102152),x102156))+E(f329(f329(f329(f66(x102151,x102152,f83(x102151)),f329(f329(f8(f917(x102153,a904),x102151,x102152),f329(f329(f66(x102151,x102153,f83(x102151)),x102154),f80(x102151))),x102155)),f80(x102151)),x102156),f329(f329(f329(f66(x102151,x102153,f83(x102151)),x102154),f80(x102151)),f329(f329(f40(x102152,f917(x102153,a904)),x102156),x102155)))+~P1(f329(f62(x102153),f329(x102155,f839(x102154,x102155,x102153,x102156,x102152,x102151))))
% 192.24/192.23 [10218]~P80(x102181)+~P1(f329(f62(x102182),x102186))+E(f329(f329(f329(f66(x102181,x102182,f83(x102181)),f329(f329(f8(f917(x102183,a904),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,f917(x102183,a904)),x102186),x102185)))+P1(f329(f329(f331(x102182),f839(x102184,x102185,x102183,x102186,x102182,x102181)),x102186))+P1(f329(f329(f331(x102182),f841(x102184,x102185,x102183,x102186,x102182,x102181)),x102186))
% 192.24/192.23 [10219]~P80(x102191)+~P1(f329(f62(x102192),x102196))+E(f329(f329(f329(f66(x102191,x102192,f83(x102191)),f329(f329(f8(f917(x102193,a904),x102191,x102192),f329(f329(f66(x102191,x102193,f83(x102191)),x102194),f80(x102191))),x102195)),f80(x102191)),x102196),f329(f329(f329(f66(x102191,x102193,f83(x102191)),x102194),f80(x102191)),f329(f329(f40(x102192,f917(x102193,a904)),x102196),x102195)))+P1(f329(f329(f331(x102192),f839(x102194,x102195,x102193,x102196,x102192,x102191)),x102196))+P1(f329(f329(f331(x102192),f840(x102194,x102195,x102193,x102196,x102192,x102191)),x102196))
% 192.24/192.23 [10239]~P80(x102391)+~P1(f329(f62(x102392),x102396))+E(f329(f329(f329(f66(x102391,x102392,f83(x102391)),f329(f329(f8(f917(x102393,a904),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,f917(x102393,a904)),x102396),x102395)))+P1(f329(f329(f331(x102392),f841(x102394,x102395,x102393,x102396,x102392,x102391)),x102396))+~P1(f329(f62(x102393),f329(x102395,f839(x102394,x102395,x102393,x102396,x102392,x102391))))
% 192.24/192.23 [10240]~P80(x102401)+~P1(f329(f62(x102402),x102406))+E(f329(f329(f329(f66(x102401,x102402,f83(x102401)),f329(f329(f8(f917(x102403,a904),x102401,x102402),f329(f329(f66(x102401,x102403,f83(x102401)),x102404),f80(x102401))),x102405)),f80(x102401)),x102406),f329(f329(f329(f66(x102401,x102403,f83(x102401)),x102404),f80(x102401)),f329(f329(f40(x102402,f917(x102403,a904)),x102406),x102405)))+P1(f329(f329(f331(x102402),f840(x102404,x102405,x102403,x102406,x102402,x102401)),x102406))+~P1(f329(f62(x102403),f329(x102405,f839(x102404,x102405,x102403,x102406,x102402,x102401))))
% 192.24/192.23 [10251]~P80(x102511)+~E(f329(f329(f106(f917(x102513,a904)),f329(x102515,f841(x102514,x102515,x102513,x102516,x102512,x102511))),f329(x102515,f840(x102514,x102515,x102513,x102516,x102512,x102511))),f191(f917(x102513,a904)))+~P1(f329(f62(x102512),x102516))+E(f329(f329(f329(f66(x102511,x102512,f83(x102511)),f329(f329(f8(f917(x102513,a904),x102511,x102512),f329(f329(f66(x102511,x102513,f83(x102511)),x102514),f80(x102511))),x102515)),f80(x102511)),x102516),f329(f329(f329(f66(x102511,x102513,f83(x102511)),x102514),f80(x102511)),f329(f329(f40(x102512,f917(x102513,a904)),x102516),x102515)))+P1(f329(f329(f331(x102512),f839(x102514,x102515,x102513,x102516,x102512,x102511)),x102516))
% 192.24/192.23 [10261]~P80(x102611)+~E(f329(f329(f106(f917(x102613,a904)),f329(x102615,f841(x102614,x102615,x102613,x102616,x102612,x102611))),f329(x102615,f840(x102614,x102615,x102613,x102616,x102612,x102611))),f191(f917(x102613,a904)))+~P1(f329(f62(x102612),x102616))+E(f329(f329(f329(f66(x102611,x102612,f83(x102611)),f329(f329(f8(f917(x102613,a904),x102611,x102612),f329(f329(f66(x102611,x102613,f83(x102611)),x102614),f80(x102611))),x102615)),f80(x102611)),x102616),f329(f329(f329(f66(x102611,x102613,f83(x102611)),x102614),f80(x102611)),f329(f329(f40(x102612,f917(x102613,a904)),x102616),x102615)))+~P1(f329(f62(x102613),f329(x102615,f839(x102614,x102615,x102613,x102616,x102612,x102611))))
% 192.24/192.23 [8935]E(x89351,x89352)+~P65(x89354,x89355,x89356,x89353,x89357)+~E(f329(x89353,x89351),f329(x89353,x89352))+~P1(f329(f329(f331(x89355),x89352),x89357))+~P1(f329(f329(f331(x89355),x89351),x89357))
% 192.24/192.23 [10229]~P1(f329(x102292,x102294))+~E(x102295,f329(f139(x102291,x102292),x102297))+E(f329(f139(x102291,x102292),x102293),f329(f329(f154(x102291),x102294),x102295))+~E(x102293,f329(f329(f137(x102291),x102296),f329(f329(f154(x102291),x102294),x102297)))+P1(f329(x102292,f769(x102295,x102294,x102293,x102292,x102291,x102296,x102297)))
% 192.24/192.23 [10230]~P1(f329(x102304,x102302))+~E(x102303,f329(f139(x102301,x102304),x102307))+E(f329(f329(f154(x102301),x102302),x102303),f329(f139(x102301,x102304),x102305))+~E(x102305,f329(f329(f137(x102301),x102306),f329(f329(f154(x102301),x102302),x102307)))+P1(f329(x102304,f771(x102305,x102304,x102303,x102302,x102301,x102306,x102307)))
% 192.24/192.23 [10272]~P1(f329(x102722,x102724))+~E(x102725,f329(f139(x102721,x102722),x102727))+E(f329(f139(x102721,x102722),x102723),f329(f329(f154(x102721),x102724),x102725))+~E(x102723,f329(f329(f137(x102721),x102726),f329(f329(f154(x102721),x102724),x102727)))+P1(f329(f329(f331(x102721),f769(x102725,x102724,x102723,x102722,x102721,x102726,x102727)),f329(f175(x102721),x102726)))
% 192.24/192.23 [10273]~P1(f329(x102734,x102732))+~E(x102733,f329(f139(x102731,x102734),x102737))+E(f329(f329(f154(x102731),x102732),x102733),f329(f139(x102731,x102734),x102735))+~E(x102735,f329(f329(f137(x102731),x102736),f329(f329(f154(x102731),x102732),x102737)))+P1(f329(f329(f331(x102731),f771(x102735,x102734,x102733,x102732,x102731,x102736,x102737)),f329(f175(x102731),x102736)))
% 192.24/192.23 [10276]~P14(x102761,x102767,x102766)+~P17(x102761,f917(x102765,a904),x102766,x102764)+P1(f329(f329(f331(x102761),f516(x102762,x102763,x102764,x102765,x102766,x102767,x102761)),x102767))+~P1(f329(f329(f331(f917(x102761,a904)),x102763),f329(f329(f61(x102761),x102767),x102766)))+P1(f329(f329(f331(f917(x102765,a904)),f329(f329(f40(x102761,f917(x102765,a904)),x102763),x102764)),x102762))
% 192.24/192.23 [10331]~P14(x103312,x103316,x103317)+~P17(x103312,f917(x103311,a904),x103317,x103314)+~P1(f329(f329(f331(f917(x103312,a904)),x103313),f329(f329(f61(x103312),x103316),x103317)))+~P1(f329(f329(f331(f917(x103311,a904)),f329(x103314,f516(x103315,x103313,x103314,x103311,x103317,x103316,x103312))),x103315))+P1(f329(f329(f331(f917(x103311,a904)),f329(f329(f40(x103312,f917(x103311,a904)),x103313),x103314)),x103315))
% 192.24/192.23 [8525]~P80(x85252)+~P31(x85251,x85255,x85258,x85254)+~E(x85253,f329(f74(x85255,x85252,x85251,x85256),x85258))+~E(x85257,f329(f312(x85251,x85255,x85258),x85254))+E(f329(f329(f9(x85251,x85252),x85253),x85254),f329(f329(f9(x85255,x85252),x85256),x85257))
% 192.24/192.23 [10335]~P80(x103352)+~P31(x103355,x103351,x103358,x103357)+~E(f329(x103356,f530(x103353,x103356,x103354,x103357,x103358,x103351,x103355,x103352)),f329(f329(f74(x103351,x103352,x103355,x103353),x103358),f530(x103353,x103356,x103354,x103357,x103358,x103351,x103355,x103352)))+~E(x103354,f329(f312(x103355,x103351,x103358),x103357))+E(f329(f329(f9(x103351,x103352),x103353),x103354),f329(f329(f9(x103355,x103352),x103356),x103357))
% 192.24/192.23 [10341]~P77(x103412)+~P31(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),f595(x103416,x103413,x103417,x103414,x103418,x103415,x103411,x103412)),x103414))
% 192.24/192.23 [10342]~P80(x103422)+~P31(x103421,x103425,x103428,x103424)+~E(x103427,f329(f312(x103421,x103425,x103428),x103424))+E(f329(f329(f9(x103421,x103422),x103423),x103424),f329(f329(f9(x103425,x103422),x103426),x103427))+P1(f329(f329(f331(x103421),f530(x103426,x103423,x103427,x103424,x103428,x103425,x103421,x103422)),x103424))
% 192.24/192.23 [10348]~P77(x103482)+~P31(x103485,x103481,x103488,x103487)+~E(x103484,f329(f312(x103485,x103481,x103488),x103487))+~E(f329(x103486,f595(x103483,x103486,x103484,x103487,x103488,x103481,x103485,x103482)),f329(x103483,f329(x103488,f595(x103483,x103486,x103484,x103487,x103488,x103481,x103485,x103482))))+E(f329(f329(f6(x103481,x103482),x103483),x103484),f329(f329(f6(x103485,x103482),x103486),x103487))
% 192.24/192.23 [9824]~P29(x98246,x98242,x98245,x98247,x98248,x98241)+~P1(f329(f62(x98242),x98244))+~P1(f329(f62(x98242),x98243))+~E(f329(f329(f106(f917(x98242,a904)),x98243),x98244),f191(f917(x98242,a904)))+E(f329(x98241,f329(f329(f115(f917(x98242,a904)),x98243),x98244)),f329(f329(x98245,f329(x98241,x98243)),f329(x98241,x98244)))
% 192.24/192.23 [10212]~P29(x102128,x102122,x102125,x102127,x102126,x102121)+~E(f329(x102126,f738(x102124,x102123,x102121,x102126,x102127,x102125,x102122)),x102127)+~P1(f329(f62(x102122),x102123))+~P1(f329(f62(x102122),x102124))+E(f329(x102121,f329(f329(f115(f917(x102122,a904)),x102123),x102124)),f329(f329(x102125,f329(x102121,x102123)),f329(x102121,x102124)))
% 192.24/192.23 [10283]~P29(x102838,x102832,x102835,x102837,x102836,x102831)+~P1(f329(f62(x102832),x102833))+~P1(f329(f62(x102832),x102834))+E(f329(x102831,f329(f329(f115(f917(x102832,a904)),x102833),x102834)),f329(f329(x102835,f329(x102831,x102833)),f329(x102831,x102834)))+P1(f329(f329(f331(x102832),f738(x102834,x102833,x102831,x102836,x102837,x102835,x102832)),f329(f329(f106(f917(x102832,a904)),x102833),x102834)))
% 192.24/192.23 [9979]~P14(x99794,x99798,x99795)+~P14(x99791,x99799,x99793)+~P18(x99791,x99794,f917(x99792,a904),x99793,x99795,x99797)+P17(x99791,f917(x99792,a904),x99793,f329(f329(f8(f917(x99794,f917(x99792,a904)),f917(x99792,a904),x99791),f329(f40(x99794,f917(x99792,a904)),f329(f288(x99794,x99794,x99795),f329(f329(f311(x99794),x99796),f191(f917(x99794,a904)))))),x99797))+~P1(f329(f329(f331(x99794),x99796),x99798))
% 192.24/192.23 [5528]~P112(x55283)+~P19(x55283,x55281)+E(x55281,f748(x55282,x55283))+~E(f329(f175(x55283),x55281),x55282)+~P1(f329(f62(x55283),x55282))+~P1(f329(f140(x55283),x55281))
% 192.24/192.23 [7350]P21(x73501,x73502)+~E(f329(x73502,f831(x73502)),f329(x73502,f832(x73502)))+~P1(f329(f329(x73502,f831(x73502)),f831(x73502)))+~P1(f329(f329(x73502,f831(x73502)),f832(x73502)))+~P1(f329(f329(x73502,f832(x73502)),f832(x73502)))+~P1(f329(f329(x73502,x73503),x73503))
% 192.24/192.23 [5150]~P147(x51502)+~P136(x51502)+~P137(x51502)+~P118(x51502)+E(x51501,f2(x51502))+~E(f329(f329(f249(x51502),x51501),x51503),f2(x51502))
% 192.24/192.23 [5151]~P147(x51512)+~P136(x51512)+~P137(x51512)+~P118(x51512)+~E(x51511,f2(a909))+~E(f329(f329(f249(x51512),x51513),x51511),f2(x51512))
% 192.24/192.23 [6601]~P91(x66011)+~E(x66013,f2(x66011))+~E(x66012,f2(x66011))+E(f329(f329(f82(x66011),x66012),x66013),f2(x66011))+~P1(f329(f329(f239(x66011),f2(x66011)),x66013))+~P1(f329(f329(f239(x66011),f2(x66011)),x66012))
% 192.24/192.23 [9002]~E(f329(f256(a909,a909),x90023),f2(a909))+~E(x90021,f329(f329(f82(a909),f329(f329(f83(a909),f329(f256(a909,a909),x90023)),x90022)),f329(f261(a909,a909),x90023)))+P1(f329(f49(x90021,x90022),x90023))+~P1(f329(f329(f239(a909),f329(f261(a909,a909),x90023)),f2(a909)))+P1(f329(f329(f240(a909),f2(a909)),x90022))+~P1(f329(f329(f240(a909),x90022),f329(f261(a909,a909),x90023)))
% 192.24/192.23 [9010]E(x90101,f2(a909))+~E(x90102,f329(f329(f82(a909),f329(f329(f83(a909),f329(f256(a909,a909),x90103)),x90101)),f329(f261(a909,a909),x90103)))+P1(f329(f49(x90102,x90101),x90103))+~P1(f329(f329(f240(a909),f2(a909)),x90101))+~P1(f329(f329(f239(a909),f2(a909)),f329(f261(a909,a909),x90103)))+~P1(f329(f329(f240(a909),f329(f261(a909,a909),x90103)),x90101))
% 192.24/192.23 [9029]~E(f329(f256(a909,a909),x90293),f2(a909))+~E(x90291,f329(f329(f82(a909),f329(f329(f83(a909),f329(f256(a909,a909),x90293)),x90292)),f329(f261(a909,a909),x90293)))+P1(f329(f49(x90291,x90292),x90293))+~P1(f329(f329(f240(a909),f2(a909)),x90292))+~P1(f329(f329(f239(a909),f2(a909)),f329(f261(a909,a909),x90293)))+~P1(f329(f329(f240(a909),f329(f261(a909,a909),x90293)),x90292))
% 192.24/192.23 [6981]~P2(x69812)+E(x69811,f191(f917(x69812,a904)))+E(x69813,f191(f917(x69812,a904)))+~P1(f329(f62(x69812),x69811))+~P1(f329(f62(x69812),x69813))+E(f13(x69812,f329(f329(f115(f917(x69812,a904)),x69813),x69811)),f329(f329(f115(x69812),f13(x69812,x69813)),f13(x69812,x69811)))
% 192.24/192.23 [6982]~P2(x69822)+E(x69821,f191(f917(x69822,a904)))+E(x69823,f191(f917(x69822,a904)))+~P1(f329(f62(x69822),x69821))+~P1(f329(f62(x69822),x69823))+E(f10(x69822,f329(f329(f115(f917(x69822,a904)),x69823),x69821)),f329(f329(f106(x69822),f10(x69822,x69823)),f10(x69822,x69821)))
% 192.24/192.23 [6983]~P112(x69832)+E(x69831,f191(f917(x69832,a904)))+E(x69833,f191(f917(x69832,a904)))+~P1(f329(f62(x69832),x69831))+~P1(f329(f62(x69832),x69833))+E(f14(x69832,f329(f329(f115(f917(x69832,a904)),x69833),x69831)),f329(f329(f237(x69832),f14(x69832,x69833)),f14(x69832,x69831)))
% 192.24/192.23 [6984]~P112(x69842)+E(x69841,f191(f917(x69842,a904)))+E(x69843,f191(f917(x69842,a904)))+~P1(f329(f62(x69842),x69841))+~P1(f329(f62(x69842),x69843))+E(f15(x69842,f329(f329(f115(f917(x69842,a904)),x69843),x69841)),f329(f329(f238(x69842),f15(x69842,x69843)),f15(x69842,x69841)))
% 192.24/192.23 [7633]~P99(x76332)+E(x76331,f191(f917(x76332,a904)))+E(x76333,f191(f917(x76332,a904)))+~P1(f329(f62(x76332),x76331))+~P1(f329(f62(x76332),x76333))+E(f329(f329(f83(x76332),f329(f64(x76332,f83(x76332)),x76333)),f329(f64(x76332,f83(x76332)),x76331)),f329(f64(x76332,f83(x76332)),f329(f329(f115(f917(x76332,a904)),x76333),x76331)))
% 192.24/192.23 [7790]~P112(x77902)+E(x77901,f191(f917(x77902,a904)))+E(x77903,f191(f917(x77902,a904)))+~P1(f329(f62(x77902),x77901))+~P1(f329(f62(x77902),x77903))+E(f329(f329(f238(x77902),f11(x77902,f238(x77902),x77903)),f11(x77902,f238(x77902),x77901)),f11(x77902,f238(x77902),f329(f329(f115(f917(x77902,a904)),x77903),x77901)))
% 192.24/192.23 [7791]~P112(x77912)+E(x77911,f191(f917(x77912,a904)))+E(x77913,f191(f917(x77912,a904)))+~P1(f329(f62(x77912),x77911))+~P1(f329(f62(x77912),x77913))+E(f329(f329(f237(x77912),f12(x77912,f237(x77912),x77913)),f12(x77912,f237(x77912),x77911)),f12(x77912,f237(x77912),f329(f329(f115(f917(x77912,a904)),x77913),x77911)))
% 192.24/192.23 [8843]~P1(f329(x88431,x88433))+P1(f329(x88431,f397(x88431,x88432)))+P1(f329(x88431,f390(x88431,x88432)))+~P1(f329(f329(f240(a1),f2(a1)),x88432))+~P1(f329(f329(f331(a1),x88433),f305(a1,f80(a1),x88432)))+P1(f329(x88431,f329(f329(f23(a1),f390(x88431,x88432)),f329(f329(f83(a1),f395(x88431,x88432)),x88432))))
% 192.24/192.23 [9142]~P1(f329(x91421,x91423))+~P1(f329(x91421,f390(x91421,x91422)))+P1(f329(x91421,f397(x91421,x91422)))+~P1(f329(f329(f240(a1),f2(a1)),x91422))+~P1(f329(f329(f331(a1),x91423),f305(a1,f80(a1),x91422)))+~P1(f329(x91421,f329(f329(f23(a1),f390(x91421,x91422)),f329(f329(f83(a1),f395(x91421,x91422)),x91422))))
% 192.24/192.23 [10371]~P101(x103712)+E(x103711,f191(f917(x103712,a904)))+E(x103713,f191(f917(x103712,a904)))+~P1(f329(f62(x103712),x103711))+~P1(f329(f62(x103712),x103713))+E(f10(x103712,f329(f267(x103712),f329(f329(f8(f917(x103712,a904),a904,x103712),f89(x103712)),f329(f329(f8(f917(x103712,f917(x103712,a904)),f917(x103712,a904),x103712),f329(f8(f917(x103712,a904),a904,x103712),f89(x103712))),f329(f329(f7(x103712,f917(x103712,f917(x103712,a904)),f917(x103712,f917(x103712,a904))),f329(f329(f8(f917(x103712,f917(f917(x103712,a904),f917(x103712,a904))),f917(f917(x103712,f917(x103712,a904)),f917(x103712,f917(x103712,a904))),x103712),f18(x103712,f917(x103712,a904),f917(x103712,a904))),f329(f329(f8(f917(x103712,f917(x103712,f917(a904,a904))),f917(x103712,f917(f917(x103712,a904),f917(x103712,a904))),x103712),f329(f8(f917(x103712,f917(a904,a904)),f917(f917(x103712,a904),f917(x103712,a904)),x103712),f18(x103712,a904,a904))),f329(f329(f8(f917(x103712,f917(x103712,a904)),f917(x103712,f917(x103712,f917(a904,a904))),x103712),f329(f8(f917(x103712,a904),f917(x103712,f917(a904,a904)),x103712),f329(f8(a904,f917(a904,a904),x103712),a327))),f329(f329(f7(x103712,f917(x103712,f917(x103712,x103712)),f917(x103712,f917(x103712,a904))),f329(f329(f8(f917(f917(x103712,x103712),f917(x103712,a904)),f917(f917(x103712,f917(x103712,x103712)),f917(x103712,f917(x103712,a904))),x103712),f8(f917(x103712,x103712),f917(x103712,a904),x103712)),f329(f329(f8(f917(x103712,a904),f917(f917(x103712,x103712),f917(x103712,a904)),x103712),f8(x103712,a904,x103712)),a326))),f115(x103712)))))),f329(f329(f7(x103712,f917(x103712,a904),f917(x103712,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x103712,a904),f917(x103712,a904)),x103712),f8(a904,a904,x103712)),f329(f329(f8(a904,f917(a904,a904),x103712),a327),f329(f329(f7(x103712,f917(x103712,a904),a904),f331(x103712)),x103713)))),f329(f329(f7(x103712,f917(x103712,a904),a904),f331(x103712)),x103711))))))),f329(f329(f115(x103712),f10(x103712,x103713)),f10(x103712,x103711)))
% 192.24/192.23 [10372]~P101(x103722)+E(x103721,f191(f917(x103722,a904)))+E(x103723,f191(f917(x103722,a904)))+~P1(f329(f62(x103722),x103721))+~P1(f329(f62(x103722),x103723))+E(f13(x103722,f329(f267(x103722),f329(f329(f8(f917(x103722,a904),a904,x103722),f89(x103722)),f329(f329(f8(f917(x103722,f917(x103722,a904)),f917(x103722,a904),x103722),f329(f8(f917(x103722,a904),a904,x103722),f89(x103722))),f329(f329(f7(x103722,f917(x103722,f917(x103722,a904)),f917(x103722,f917(x103722,a904))),f329(f329(f8(f917(x103722,f917(f917(x103722,a904),f917(x103722,a904))),f917(f917(x103722,f917(x103722,a904)),f917(x103722,f917(x103722,a904))),x103722),f18(x103722,f917(x103722,a904),f917(x103722,a904))),f329(f329(f8(f917(x103722,f917(x103722,f917(a904,a904))),f917(x103722,f917(f917(x103722,a904),f917(x103722,a904))),x103722),f329(f8(f917(x103722,f917(a904,a904)),f917(f917(x103722,a904),f917(x103722,a904)),x103722),f18(x103722,a904,a904))),f329(f329(f8(f917(x103722,f917(x103722,a904)),f917(x103722,f917(x103722,f917(a904,a904))),x103722),f329(f8(f917(x103722,a904),f917(x103722,f917(a904,a904)),x103722),f329(f8(a904,f917(a904,a904),x103722),a327))),f329(f329(f7(x103722,f917(x103722,f917(x103722,x103722)),f917(x103722,f917(x103722,a904))),f329(f329(f8(f917(f917(x103722,x103722),f917(x103722,a904)),f917(f917(x103722,f917(x103722,x103722)),f917(x103722,f917(x103722,a904))),x103722),f8(f917(x103722,x103722),f917(x103722,a904),x103722)),f329(f329(f8(f917(x103722,a904),f917(f917(x103722,x103722),f917(x103722,a904)),x103722),f8(x103722,a904,x103722)),a326))),f106(x103722)))))),f329(f329(f7(x103722,f917(x103722,a904),f917(x103722,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x103722,a904),f917(x103722,a904)),x103722),f8(a904,a904,x103722)),f329(f329(f8(a904,f917(a904,a904),x103722),a327),f329(f329(f7(x103722,f917(x103722,a904),a904),f331(x103722)),x103723)))),f329(f329(f7(x103722,f917(x103722,a904),a904),f331(x103722)),x103721))))))),f329(f329(f106(x103722),f13(x103722,x103723)),f13(x103722,x103721)))
% 192.24/192.23 [10373]~P112(x103732)+E(x103731,f191(f917(x103732,a904)))+E(x103733,f191(f917(x103732,a904)))+~P1(f329(f62(x103732),x103731))+~P1(f329(f62(x103732),x103733))+E(f11(x103732,f238(x103732),f329(f267(x103732),f329(f329(f8(f917(x103732,a904),a904,x103732),f89(x103732)),f329(f329(f8(f917(x103732,f917(x103732,a904)),f917(x103732,a904),x103732),f329(f8(f917(x103732,a904),a904,x103732),f89(x103732))),f329(f329(f7(x103732,f917(x103732,f917(x103732,a904)),f917(x103732,f917(x103732,a904))),f329(f329(f8(f917(x103732,f917(f917(x103732,a904),f917(x103732,a904))),f917(f917(x103732,f917(x103732,a904)),f917(x103732,f917(x103732,a904))),x103732),f18(x103732,f917(x103732,a904),f917(x103732,a904))),f329(f329(f8(f917(x103732,f917(x103732,f917(a904,a904))),f917(x103732,f917(f917(x103732,a904),f917(x103732,a904))),x103732),f329(f8(f917(x103732,f917(a904,a904)),f917(f917(x103732,a904),f917(x103732,a904)),x103732),f18(x103732,a904,a904))),f329(f329(f8(f917(x103732,f917(x103732,a904)),f917(x103732,f917(x103732,f917(a904,a904))),x103732),f329(f8(f917(x103732,a904),f917(x103732,f917(a904,a904)),x103732),f329(f8(a904,f917(a904,a904),x103732),a327))),f329(f329(f7(x103732,f917(x103732,f917(x103732,x103732)),f917(x103732,f917(x103732,a904))),f329(f329(f8(f917(f917(x103732,x103732),f917(x103732,a904)),f917(f917(x103732,f917(x103732,x103732)),f917(x103732,f917(x103732,a904))),x103732),f8(f917(x103732,x103732),f917(x103732,a904),x103732)),f329(f329(f8(f917(x103732,a904),f917(f917(x103732,x103732),f917(x103732,a904)),x103732),f8(x103732,a904,x103732)),a326))),f237(x103732)))))),f329(f329(f7(x103732,f917(x103732,a904),f917(x103732,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x103732,a904),f917(x103732,a904)),x103732),f8(a904,a904,x103732)),f329(f329(f8(a904,f917(a904,a904),x103732),a327),f329(f329(f7(x103732,f917(x103732,a904),a904),f331(x103732)),x103733)))),f329(f329(f7(x103732,f917(x103732,a904),a904),f331(x103732)),x103731))))))),f329(f329(f237(x103732),f11(x103732,f238(x103732),x103733)),f11(x103732,f238(x103732),x103731)))
% 192.24/192.23 [10374]~P112(x103742)+E(x103741,f191(f917(x103742,a904)))+E(x103743,f191(f917(x103742,a904)))+~P1(f329(f62(x103742),x103741))+~P1(f329(f62(x103742),x103743))+E(f12(x103742,f237(x103742),f329(f267(x103742),f329(f329(f8(f917(x103742,a904),a904,x103742),f89(x103742)),f329(f329(f8(f917(x103742,f917(x103742,a904)),f917(x103742,a904),x103742),f329(f8(f917(x103742,a904),a904,x103742),f89(x103742))),f329(f329(f7(x103742,f917(x103742,f917(x103742,a904)),f917(x103742,f917(x103742,a904))),f329(f329(f8(f917(x103742,f917(f917(x103742,a904),f917(x103742,a904))),f917(f917(x103742,f917(x103742,a904)),f917(x103742,f917(x103742,a904))),x103742),f18(x103742,f917(x103742,a904),f917(x103742,a904))),f329(f329(f8(f917(x103742,f917(x103742,f917(a904,a904))),f917(x103742,f917(f917(x103742,a904),f917(x103742,a904))),x103742),f329(f8(f917(x103742,f917(a904,a904)),f917(f917(x103742,a904),f917(x103742,a904)),x103742),f18(x103742,a904,a904))),f329(f329(f8(f917(x103742,f917(x103742,a904)),f917(x103742,f917(x103742,f917(a904,a904))),x103742),f329(f8(f917(x103742,a904),f917(x103742,f917(a904,a904)),x103742),f329(f8(a904,f917(a904,a904),x103742),a327))),f329(f329(f7(x103742,f917(x103742,f917(x103742,x103742)),f917(x103742,f917(x103742,a904))),f329(f329(f8(f917(f917(x103742,x103742),f917(x103742,a904)),f917(f917(x103742,f917(x103742,x103742)),f917(x103742,f917(x103742,a904))),x103742),f8(f917(x103742,x103742),f917(x103742,a904),x103742)),f329(f329(f8(f917(x103742,a904),f917(f917(x103742,x103742),f917(x103742,a904)),x103742),f8(x103742,a904,x103742)),a326))),f238(x103742)))))),f329(f329(f7(x103742,f917(x103742,a904),f917(x103742,a904)),f329(f329(f8(f917(a904,a904),f917(f917(x103742,a904),f917(x103742,a904)),x103742),f8(a904,a904,x103742)),f329(f329(f8(a904,f917(a904,a904),x103742),a327),f329(f329(f7(x103742,f917(x103742,a904),a904),f331(x103742)),x103743)))),f329(f329(f7(x103742,f917(x103742,a904),a904),f331(x103742)),x103741))))))),f329(f329(f238(x103742),f12(x103742,f237(x103742),x103743)),f12(x103742,f237(x103742),x103741)))
% 192.24/192.23 [7306]~P126(x73063)+E(x73061,x73062)+~E(f329(f329(f249(x73063),x73061),x73064),f329(f329(f249(x73063),x73062),x73064))+~P1(f329(f329(f239(x73063),f2(x73063)),x73062))+~P1(f329(f329(f239(x73063),f2(x73063)),x73061))+~P1(f329(f329(f240(a909),f2(a909)),x73064))
% 192.24/192.23 [9290]~P1(f329(x92902,x92903))+~P1(f329(x92901,x92904))+E(f243(a909,x92901),f329(a117,f243(a909,x92902)))+P1(f329(x92902,f566(x92903,x92902,x92904,x92901)))+P1(f329(x92901,f2(a909)))+P1(f329(x92901,f329(a117,f566(x92903,x92902,x92904,x92901))))
% 192.24/192.23 [9542]~P1(f329(x95422,x95423))+~P1(f329(x95421,x95424))+E(f243(a909,x95421),f329(a117,f243(a909,x95422)))+~P1(f329(x95422,f566(x95423,x95422,x95424,x95421)))+P1(f329(x95421,f2(a909)))+~P1(f329(x95421,f329(a117,f566(x95423,x95422,x95424,x95421))))
% 192.24/192.23 [7593]~P112(x75932)+E(x75931,f191(f917(x75932,a904)))+~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,f237(x75932)),x75931)))
% 192.24/192.23 [7594]~P104(x75942)+E(x75941,f191(f917(x75942,a904)))+~P1(f329(f62(x75942),x75941))+~P1(f329(f329(f331(x75942),x75944),x75941))+P1(f329(f329(f239(x75942),x75943),x75944))+~P1(f329(f329(f239(x75942),x75943),f329(f64(x75942,f106(x75942)),x75941)))
% 192.24/192.23 [7595]~P112(x75952)+E(x75951,f191(f917(x75952,a904)))+~P1(f329(f62(x75952),x75951))+~P1(f329(f329(f331(x75952),x75954),x75951))+P1(f329(f329(f239(x75952),x75953),x75954))+~P1(f329(f329(f239(x75952),x75953),f329(f64(x75952,f237(x75952)),x75951)))
% 192.24/192.23 [7492]E(x74921,f2(a1))+E(f329(f329(f37(a1),x74922),x74921),x74923)+~P1(f329(f329(f239(a1),x74924),f2(a1)))+~E(x74922,f329(f329(f82(a1),f329(f329(f83(a1),x74921),x74923)),x74924))+P1(f329(f329(f240(a1),f2(a1)),x74921))+~P1(f329(f329(f240(a1),x74921),x74924))
% 192.24/192.23 [7507]E(f46(a1,x75072,x75071),x75073)+E(x75071,f2(a1))+~P1(f329(f329(f239(a1),x75073),f2(a1)))+~E(x75072,f329(f329(f82(a1),f329(f329(f83(a1),x75071),x75074)),x75073))+P1(f329(f329(f240(a1),f2(a1)),x75071))+~P1(f329(f329(f240(a1),x75071),x75073))
% 192.24/192.23 [7632]E(x76321,f2(a1))+E(f329(f329(f37(a1),x76322),x76321),x76323)+~E(x76322,f329(f329(f82(a1),f329(f329(f83(a1),x76321),x76323)),x76324))+~P1(f329(f329(f240(a1),f2(a1)),x76321))+~P1(f329(f329(f239(a1),f2(a1)),x76324))+~P1(f329(f329(f240(a1),x76324),x76321))
% 192.24/192.23 [7652]E(f46(a1,x76522,x76521),x76523)+E(x76521,f2(a1))+~E(x76522,f329(f329(f82(a1),f329(f329(f83(a1),x76521),x76524)),x76523))+~P1(f329(f329(f240(a1),f2(a1)),x76521))+~P1(f329(f329(f239(a1),f2(a1)),x76523))+~P1(f329(f329(f240(a1),x76523),x76521))
% 192.24/192.23 [7794]~P112(x77942)+E(x77941,f191(f917(x77942,a904)))+~P1(f329(f62(x77942),x77941))+~P1(f329(f329(f240(x77942),x77944),x77943))+~P1(f329(f329(f331(x77942),x77944),x77941))+P1(f329(f329(f240(x77942),f329(f64(x77942,f237(x77942)),x77941)),x77943))
% 192.24/192.23 [7795]~P112(x77952)+E(x77951,f191(f917(x77952,a904)))+~P1(f329(f62(x77952),x77951))+~P1(f329(f329(f239(x77952),x77954),x77953))+~P1(f329(f329(f331(x77952),x77954),x77951))+P1(f329(f329(f239(x77952),f329(f64(x77952,f237(x77952)),x77951)),x77953))
% 192.24/192.23 [8376]~P1(f329(f329(f239(a1),x83764),f2(a1)))+~E(x83761,f329(f329(f82(a1),f329(f329(f83(a1),x83762),x83763)),x83764))+~P1(f329(f329(f239(a1),f2(a1)),x83764))+~P1(f329(f329(f240(a1),x83764),x83762))+~P1(f329(f329(f240(a1),x83762),x83764))+P1(f329(f50(x83761,x83762),f329(f329(f257(a1,a1),x83763),x83764)))
% 192.24/192.23 [8546]~P113(x85461)+P1(f329(f329(f240(f917(x85461,a904)),f305(x85461,x85462,x85463)),f305(x85461,x85464,x85465)))+~P1(f329(f329(f240(x85461),x85463),x85465))+~P1(f329(f329(f239(x85461),x85464),x85462))+~P1(f329(f329(f239(x85461),x85464),x85465))+~P1(f329(f329(f239(x85461),x85463),x85465))
% 192.24/192.23 [8547]~P113(x85471)+P1(f329(f329(f240(f917(x85471,a904)),f305(x85471,x85472,x85473)),f305(x85471,x85474,x85475)))+~P1(f329(f329(f240(x85471),x85474),x85472))+~P1(f329(f329(f239(x85471),x85473),x85475))+~P1(f329(f329(f239(x85471),x85474),x85475))+~P1(f329(f329(f239(x85471),x85474),x85472))
% 192.24/192.23 [9409]P67(x94092,x94093,x94094,x94091)+E(x94091,f191(f917(x94092,a904)))+~P1(f329(f62(x94092),x94094))+~P1(f329(f62(x94092),x94091))+~P1(f329(f329(x94093,f527(x94091,x94094,x94093,x94092)),x94095))+~P1(f329(f329(f331(x94092),x94095),x94091))
% 192.24/192.23 [9410]P67(x94102,x94103,x94104,x94101)+E(x94101,f191(f917(x94102,a904)))+~P1(f329(f62(x94102),x94104))+~P1(f329(f62(x94102),x94101))+~P1(f329(f329(x94103,f823(x94103,x94101,x94104,x94102)),x94105))+~P1(f329(f329(f331(x94102),x94105),x94101))
% 192.24/192.23 [9411]P67(x94112,x94113,x94114,x94111)+E(x94111,f191(f917(x94112,a904)))+~P1(f329(f62(x94112),x94114))+~P1(f329(f62(x94112),x94111))+~P1(f329(f329(x94113,f824(x94111,x94114,x94113,x94112)),x94115))+~P1(f329(f329(f331(x94112),x94115),x94111))
% 192.24/192.23 [9558]~E(x95583,x95585)+~P77(x95581)+~P80(x95581)+~P48(x95583)+E(f329(f329(f6(a1,x95581),x95582),x95583),f329(f329(f6(a1,x95581),x95584),x95585))+P1(f329(f329(f239(a1),f2(a1)),f412(x95582,x95584,x95583,x95585,x95581)))
% 192.24/192.23 [9559]~E(x95593,x95595)+~P77(x95591)+~P80(x95591)+~P48(x95593)+E(f329(f329(f9(a1,x95591),x95592),x95593),f329(f329(f9(a1,x95591),x95594),x95595))+P1(f329(f329(f239(a1),f2(a1)),f410(x95592,x95594,x95593,x95595,x95591)))
% 192.24/192.23 [9732]~E(x97325,x97323)+~P77(x97321)+~P80(x97321)+~P48(x97325)+~E(f329(x97322,f412(x97324,x97322,x97325,x97323,x97321)),f329(x97324,f412(x97324,x97322,x97325,x97323,x97321)))+E(f329(f329(f6(a1,x97321),x97322),x97323),f329(f329(f6(a1,x97321),x97324),x97325))
% 192.24/192.23 [9733]~E(x97335,x97333)+~P77(x97331)+~P80(x97331)+~P48(x97335)+~E(f329(x97332,f410(x97334,x97332,x97335,x97333,x97331)),f329(x97334,f410(x97334,x97332,x97335,x97333,x97331)))+E(f329(f329(f9(a1,x97331),x97332),x97333),f329(f329(f9(a1,x97331),x97334),x97335))
% 192.24/192.23 [9822]~P87(x98223)+E(f329(x98221,x98222),f2(x98223))+~E(f329(f329(f6(x98224,x98223),x98221),x98225),f2(x98223))+~P1(f329(f62(x98224),x98225))+P1(f329(f329(f331(x98224),f872(x98222,x98221,x98225,x98224,x98223)),x98225))+~P1(f329(f329(f331(x98224),x98222),x98225))
% 192.24/192.23 [9952]~P87(x99523)+E(f329(x99521,x99522),f2(x99523))+~E(f329(f329(f6(x99524,x99523),x99521),x99525),f2(x99523))+~P1(f329(f62(x99524),x99525))+~P1(f329(f329(f331(x99524),x99522),x99525))+~P1(f329(f329(f239(x99523),f2(x99523)),f329(x99521,f872(x99522,x99521,x99525,x99524,x99523))))
% 192.24/192.23 [8463]~P132(x84631)+~P1(f329(f329(f239(x84631),f2(x84631)),x84633))+~P1(f329(f329(f240(x84631),x84633),x84635))+~P1(f329(f329(f240(x84631),x84632),x84634))+~P1(f329(f329(f240(x84631),f2(x84631)),x84634))+P1(f329(f329(f240(x84631),f329(f329(f83(x84631),x84632),x84633)),f329(f329(f83(x84631),x84634),x84635)))
% 192.24/192.23 [8464]~P132(x84641)+~P1(f329(f329(f239(x84641),f2(x84641)),x84643))+~P1(f329(f329(f239(x84641),f2(x84641)),x84642))+~P1(f329(f329(f240(x84641),x84643),x84645))+~P1(f329(f329(f240(x84641),x84642),x84644))+P1(f329(f329(f240(x84641),f329(f329(f83(x84641),x84642),x84643)),f329(f329(f83(x84641),x84644),x84645)))
% 192.24/192.23 [8465]~P132(x84651)+~P1(f329(f329(f239(x84651),x84652),x84654))+~P1(f329(f329(f239(x84651),f2(x84651)),x84653))+~P1(f329(f329(f240(x84651),x84653),x84655))+~P1(f329(f329(f240(x84651),f2(x84651)),x84652))+P1(f329(f329(f240(x84651),f329(f329(f83(x84651),x84652),x84653)),f329(f329(f83(x84651),x84654),x84655)))
% 192.24/192.23 [8466]~P132(x84661)+~P1(f329(f329(f239(x84661),x84663),x84665))+~P1(f329(f329(f239(x84661),f2(x84661)),x84662))+~P1(f329(f329(f240(x84661),x84662),x84664))+~P1(f329(f329(f240(x84661),f2(x84661)),x84663))+P1(f329(f329(f240(x84661),f329(f329(f83(x84661),x84662),x84663)),f329(f329(f83(x84661),x84664),x84665)))
% 192.24/192.23 [8467]~P73(x84671)+~P1(f329(f329(f239(x84671),x84672),x84674))+~P1(f329(f329(f240(x84671),x84675),x84673))+~P1(f329(f329(f240(x84671),f2(x84671)),x84675))+~P1(f329(f329(f240(x84671),f2(x84671)),x84672))+P1(f329(f329(f240(x84671),f329(f329(f292(x84671),x84672),x84673)),f329(f329(f292(x84671),x84674),x84675)))
% 192.24/192.23 [8468]~P73(x84681)+~P1(f329(f329(f239(x84681),x84685),x84683))+~P1(f329(f329(f239(x84681),f2(x84681)),x84682))+~P1(f329(f329(f240(x84681),x84682),x84684))+~P1(f329(f329(f240(x84681),f2(x84681)),x84685))+P1(f329(f329(f240(x84681),f329(f329(f292(x84681),x84682),x84683)),f329(f329(f292(x84681),x84684),x84685)))
% 192.24/192.23 [8469]~P140(x84691)+~P1(f329(f329(f239(x84691),x84693),x84695))+~P1(f329(f329(f239(x84691),x84692),x84694))+~P1(f329(f329(f239(x84691),f2(x84691)),x84693))+~P1(f329(f329(f239(x84691),f2(x84691)),x84694))+P1(f329(f329(f239(x84691),f329(f329(f83(x84691),x84692),x84693)),f329(f329(f83(x84691),x84694),x84695)))
% 192.24/192.23 [8470]~P140(x84701)+~P1(f329(f329(f239(x84701),x84703),x84705))+~P1(f329(f329(f239(x84701),x84702),x84704))+~P1(f329(f329(f239(x84701),f2(x84701)),x84703))+~P1(f329(f329(f239(x84701),f2(x84701)),x84702))+P1(f329(f329(f239(x84701),f329(f329(f83(x84701),x84702),x84703)),f329(f329(f83(x84701),x84704),x84705)))
% 192.24/192.23 [8471]~P73(x84711)+~P1(f329(f329(f240(x84711),f2(x84711)),x84715))+~P1(f329(f329(f239(x84711),x84715),x84713))+~P1(f329(f329(f239(x84711),x84712),x84714))+~P1(f329(f329(f239(x84711),f2(x84711)),x84712))+P1(f329(f329(f239(x84711),f329(f329(f292(x84711),x84712),x84713)),f329(f329(f292(x84711),x84714),x84715)))
% 192.24/192.23 [9864]~P77(x98645)+~P90(x98645)+E(x98641,f191(f917(x98642,a904)))+~P1(f329(f62(x98642),x98641))+P1(f329(f329(f331(x98642),f888(x98643,x98644,x98641,x98642,x98645)),x98641))+P1(f329(f329(f240(x98645),f329(f329(f6(x98642,x98645),x98644),x98641)),f329(f329(f6(x98642,x98645),x98643),x98641)))
% 192.24/192.23 [9975]~P77(x99751)+~P88(x99751)+~P1(f329(f62(x99752),x99755))+~P1(f329(f329(f239(x99751),f2(x99751)),f329(x99753,f877(x99753,x99754,x99755,x99752,x99751))))+P1(f329(f329(f239(x99751),f329(f329(f6(x99752,x99751),x99753),x99754)),f329(f329(f6(x99752,x99751),x99753),x99755)))+~P1(f329(f329(f239(f917(x99752,a904)),x99754),x99755))
% 192.24/192.23 [10133]~P77(x101333)+~P90(x101333)+E(x101331,f191(f917(x101332,a904)))+~P1(f329(f62(x101332),x101331))+~P1(f329(f329(f240(x101333),f329(x101334,f888(x101335,x101334,x101331,x101332,x101333))),f329(x101335,f888(x101335,x101334,x101331,x101332,x101333))))+P1(f329(f329(f240(x101333),f329(f329(f6(x101332,x101333),x101334),x101331)),f329(f329(f6(x101332,x101333),x101335),x101331)))
% 192.24/192.23 [7163]~P23(x71632,x71635,x71634)+E(x71631,f191(f917(x71632,a904)))+E(x71633,f191(f917(x71632,a904)))+~P1(f329(f62(x71632),x71631))+~P1(f329(f62(x71632),x71633))+E(f329(x71634,f329(f329(f115(f917(x71632,a904)),x71633),x71631)),f329(f329(x71635,f329(x71634,x71633)),f329(x71634,x71631)))
% 192.24/192.23 [7761]~P149(x77611,x77613,x77614)+P1(f329(x77611,x77612))+~P1(f329(f329(f240(a1),x77614),f2(a1)))+~P1(f329(f329(f239(a1),x77615),f2(a1)))+~E(x77613,f329(f329(f82(a1),f329(f329(f83(a1),x77614),x77612)),x77615))+~P1(f329(f329(f240(a1),x77614),x77615))
% 192.24/192.23 [7762]~P148(x77621,x77623,x77624)+P1(f329(x77621,x77622))+~P1(f329(f329(f240(a1),x77624),f2(a1)))+~P1(f329(f329(f239(a1),x77622),f2(a1)))+~E(x77623,f329(f329(f82(a1),f329(f329(f83(a1),x77624),x77625)),x77622))+~P1(f329(f329(f240(a1),x77624),x77622))
% 192.24/192.23 [7804]~P149(x78041,x78043,x78044)+P1(f329(x78041,x78042))+~E(x78043,f329(f329(f82(a1),f329(f329(f83(a1),x78044),x78042)),x78045))+~P1(f329(f329(f240(a1),f2(a1)),x78044))+~P1(f329(f329(f239(a1),f2(a1)),x78045))+~P1(f329(f329(f240(a1),x78045),x78044))
% 192.24/192.23 [7805]~P148(x78051,x78053,x78054)+P1(f329(x78051,x78052))+~E(x78053,f329(f329(f82(a1),f329(f329(f83(a1),x78054),x78055)),x78052))+~P1(f329(f329(f240(a1),f2(a1)),x78054))+~P1(f329(f329(f239(a1),f2(a1)),x78052))+~P1(f329(f329(f240(a1),x78052),x78054))
% 192.24/192.23 [8764]P1(f329(f329(x87641,x87642),x87643))+~P1(f329(f329(x87641,f329(f329(f37(a1),x87644),x87645)),f46(a1,x87644,x87645)))+~P1(f329(f329(f240(a1),x87645),f2(a1)))+~P1(f329(f329(f239(a1),x87643),f2(a1)))+~E(x87644,f329(f329(f82(a1),f329(f329(f83(a1),x87645),x87642)),x87643))+~P1(f329(f329(f240(a1),x87645),x87643))
% 192.24/192.23 [8772]P1(f329(f329(x87721,x87722),x87723))+~P1(f329(f329(x87721,f329(f329(f37(a1),x87724),x87725)),f46(a1,x87724,x87725)))+~E(x87724,f329(f329(f82(a1),f329(f329(f83(a1),x87725),x87722)),x87723))+~P1(f329(f329(f240(a1),f2(a1)),x87725))+~P1(f329(f329(f239(a1),f2(a1)),x87723))+~P1(f329(f329(f240(a1),x87723),x87725))
% 192.24/192.23 [9018]E(x90181,x90182)+~P64(x90183,x90185,x90184)+~P1(f329(f329(f331(x90183),x90182),x90185))+~P1(f329(f329(f331(x90183),x90181),x90185))+P1(f329(f329(f331(f916(x90183,x90183)),f329(f329(f257(x90183,x90183),x90181),x90182)),x90184))+P1(f329(f329(f331(f916(x90183,x90183)),f329(f329(f257(x90183,x90183),x90182),x90181)),x90184))
% 192.24/192.23 [9841]~P113(x98411)+~P113(x98412)+~P47(x98412,x98411,x98413)+~P1(f329(f329(f239(x98412),x98415),f884(x98414,x98413,x98412,x98411,x98415)))+E(f243(x98411,f329(f329(f7(x98411,f917(x98411,a904),a904),f331(x98411)),f329(f312(x98412,x98411,x98413),x98414))),f329(x98413,f243(x98412,f329(f329(f7(x98412,f917(x98412,a904),a904),f331(x98412)),x98414))))+~P1(f329(f329(f331(x98412),x98415),x98414))
% 192.24/192.23 [9892]~P77(x98925)+~P88(x98925)+~P1(f329(f62(x98921),x98924))+P1(f329(f329(f239(x98925),f329(f329(f6(x98921,x98925),x98922),x98923)),f329(f329(f6(x98921,x98925),x98922),x98924)))+~P1(f329(f329(f239(f917(x98921,a904)),x98923),x98924))+P1(f329(f329(f331(x98921),f877(x98922,x98923,x98924,x98921,x98925)),f329(f329(f23(f917(x98921,a904)),x98924),x98923)))
% 192.24/192.23 [9908]~P113(x99081)+~P113(x99082)+~P47(x99082,x99081,x99083)+E(f243(x99081,f329(f329(f7(x99081,f917(x99081,a904),a904),f331(x99081)),f329(f312(x99082,x99081,x99083),x99084))),f329(x99083,f243(x99082,f329(f329(f7(x99082,f917(x99082,a904),a904),f331(x99082)),x99084))))+~P1(f329(f329(f331(x99082),x99085),x99084))+P1(f329(f329(f331(x99082),f884(x99084,x99083,x99082,x99081,x99085)),x99084))
% 192.24/192.23 [9983]E(x99831,f191(f917(x99832,a904)))+~P1(f329(f62(x99832),x99833))+~P1(f329(f62(x99832),x99831))+P1(f329(f329(f331(f916(f917(x99832,a904),f917(x99832,a904))),f329(f329(f257(f917(x99832,a904),f917(x99832,a904)),x99833),x99831)),f320(x99832,x99834)))+~P1(f329(f329(f331(x99832),x99835),x99831))+~P1(f329(f329(f331(f916(x99832,x99832)),f329(f329(f257(x99832,x99832),f532(x99834,x99831,x99833,x99832)),x99835)),x99834))
% 192.24/192.23 [9984]E(x99841,f191(f917(x99842,a904)))+~P1(f329(f62(x99842),x99843))+~P1(f329(f62(x99842),x99841))+P1(f329(f329(f331(f916(f917(x99842,a904),f917(x99842,a904))),f329(f329(f257(f917(x99842,a904),f917(x99842,a904)),x99843),x99841)),f320(x99842,x99844)))+~P1(f329(f329(f331(x99842),x99845),x99841))+~P1(f329(f329(f331(f916(x99842,x99842)),f329(f329(f257(x99842,x99842),f591(x99844,x99841,x99843,x99842)),x99845)),x99844))
% 192.24/192.23 [10137]~P87(x101371)+~E(f329(f329(f6(x101375,x101371),x101372),x101376),x101374)+~P1(f329(f62(x101375),x101376))+P1(f329(f329(f331(x101375),f876(x101373,x101374,x101372,x101376,x101375,x101371)),x101376))+P1(f329(f329(f239(x101371),f329(x101372,x101373)),x101374))+~P1(f329(f329(f331(x101375),x101373),x101376))
% 192.24/192.23 [10182]~P87(x101821)+~E(f329(f329(f6(x101825,x101821),x101822),x101826),x101824)+~P1(f329(f62(x101825),x101826))+~P1(f329(f329(f331(x101825),x101823),x101826))+~P1(f329(f329(f239(x101821),f2(x101821)),f329(x101822,f876(x101823,x101824,x101822,x101826,x101825,x101821))))+P1(f329(f329(f239(x101821),f329(x101822,x101823)),x101824))
% 192.24/192.23 [10317]~E(x103175,x103178)+~E(x103174,x103177)+~P77(x103172)+~P114(x103171)+E(f329(f329(f6(x103171,x103172),x103173),f329(f304(x103171,x103174),x103175)),f329(f329(f6(x103171,x103172),x103176),f329(f304(x103171,x103177),x103178)))+P1(f329(f329(f239(x103171),x103174),f485(x103173,x103176,x103175,x103178,x103174,x103177,x103171,x103172)))
% 192.24/192.23 [10334]~E(x103347,x103344)+~E(x103348,x103345)+~P77(x103342)+~P114(x103341)+~E(f329(x103343,f485(x103346,x103343,x103348,x103345,x103347,x103344,x103341,x103342)),f329(x103346,f485(x103346,x103343,x103348,x103345,x103347,x103344,x103341,x103342)))+E(f329(f329(f6(x103341,x103342),x103343),f329(f304(x103341,x103344),x103345)),f329(f329(f6(x103341,x103342),x103346),f329(f304(x103341,x103347),x103348)))
% 192.24/192.23 [10340]~E(x103404,x103407)+~E(x103405,x103408)+~P77(x103402)+~P114(x103401)+E(f329(f329(f6(x103401,x103402),x103403),f329(f304(x103401,x103404),x103405)),f329(f329(f6(x103401,x103402),x103406),f329(f304(x103401,x103407),x103408)))+P1(f329(f329(f240(x103401),f485(x103403,x103406,x103405,x103408,x103404,x103407,x103401,x103402)),x103405))
% 192.24/192.23 [9989]~P14(x99895,x99899,x99896)+~P14(x99891,x998910,x99893)+~P18(x99891,x99895,f917(x99892,a904),x99893,x99896,x99898)+~P1(f329(f329(f331(x99895),x99897),x99899))+~P1(f329(f329(f331(x99891),x99894),x998910))+E(f329(f329(f40(x99891,f917(x99892,a904)),f329(f288(x99891,x99891,x99893),f329(f329(f311(x99891),x99894),f191(f917(x99891,a904))))),f329(f329(f8(f917(x99895,f917(x99892,a904)),f917(x99892,a904),x99891),f329(f40(x99895,f917(x99892,a904)),f329(f288(x99895,x99895,x99896),f329(f329(f311(x99895),x99897),f191(f917(x99895,a904)))))),x99898)),f329(f329(x99898,x99894),x99897))
% 192.24/192.23 [5699]~P112(x56993)+~P19(x56993,x56992)+~P19(x56993,x56991)+E(x56991,x56992)+~E(f329(f175(x56993),x56991),f329(f175(x56993),x56992))+~P1(f329(f140(x56993),x56992))+~P1(f329(f140(x56993),x56991))
% 192.24/192.23 [5029]~P147(x50292)+~P136(x50292)+~P137(x50292)+~P118(x50292)+~E(x50293,f2(x50292))+E(x50291,f2(a909))+E(f329(f329(f249(x50292),x50293),x50291),f2(x50292))
% 192.24/192.23 [9289]E(x92891,f2(a909))+~E(x92892,f329(f329(f82(a909),f329(f329(f83(a909),f329(f256(a909,a909),x92893)),x92891)),f329(f261(a909,a909),x92893)))+P1(f329(f49(x92892,x92891),x92893))+~P1(f329(f329(f239(a909),f329(f261(a909,a909),x92893)),f2(a909)))+~P1(f329(f329(f239(a909),f2(a909)),f329(f261(a909,a909),x92893)))+~P1(f329(f329(f240(a909),x92891),f329(f261(a909,a909),x92893)))+~P1(f329(f329(f240(a909),f329(f261(a909,a909),x92893)),x92891))
% 192.24/192.23 [9298]~E(f329(f256(a909,a909),x92983),f2(a909))+~E(x92981,f329(f329(f82(a909),f329(f329(f83(a909),f329(f256(a909,a909),x92983)),x92982)),f329(f261(a909,a909),x92983)))+P1(f329(f49(x92981,x92982),x92983))+~P1(f329(f329(f239(a909),f329(f261(a909,a909),x92983)),f2(a909)))+~P1(f329(f329(f239(a909),f2(a909)),f329(f261(a909,a909),x92983)))+~P1(f329(f329(f240(a909),x92982),f329(f261(a909,a909),x92983)))+~P1(f329(f329(f240(a909),f329(f261(a909,a909),x92983)),x92982))
% 192.24/192.23 [8127]~P75(x81272)+E(x81271,f191(f917(x81272,a904)))+E(x81273,f191(f917(x81272,a904)))+~P1(f329(f62(x81272),x81271))+~P1(f329(f62(x81272),x81273))+~E(f329(f329(f106(f917(x81272,a904)),x81273),x81271),f191(f917(x81272,a904)))+E(f329(f329(f83(x81272),f329(f64(x81272,f83(x81272)),x81273)),f329(f64(x81272,f83(x81272)),x81271)),f329(f64(x81272,f83(x81272)),f329(f329(f115(f917(x81272,a904)),x81273),x81271)))
% 192.24/192.23 [7901]E(x79011,f2(a1))+E(f329(f329(f37(a1),x79012),x79011),x79013)+~P1(f329(f329(f239(a1),x79014),f2(a1)))+~E(x79012,f329(f329(f82(a1),f329(f329(f83(a1),x79011),x79013)),x79014))+~P1(f329(f329(f239(a1),f2(a1)),x79014))+~P1(f329(f329(f240(a1),x79014),x79011))+~P1(f329(f329(f240(a1),x79011),x79014))
% 192.24/192.23 [7910]E(f46(a1,x79102,x79101),x79103)+E(x79101,f2(a1))+~P1(f329(f329(f239(a1),x79103),f2(a1)))+~E(x79102,f329(f329(f82(a1),f329(f329(f83(a1),x79101),x79104)),x79103))+~P1(f329(f329(f239(a1),f2(a1)),x79103))+~P1(f329(f329(f240(a1),x79103),x79101))+~P1(f329(f329(f240(a1),x79101),x79103))
% 192.24/192.23 [7813]~P24(x78132,x78135,x78134)+E(x78131,f191(f917(x78132,a904)))+E(x78133,f191(f917(x78132,a904)))+~P1(f329(f62(x78132),x78131))+~P1(f329(f62(x78132),x78133))+~E(f329(f329(f106(f917(x78132,a904)),x78133),x78131),f191(f917(x78132,a904)))+E(f329(x78134,f329(f329(f115(f917(x78132,a904)),x78133),x78131)),f329(f329(x78135,f329(x78134,x78133)),f329(x78134,x78131)))
% 192.24/192.23 [9529]~P31(x95293,x95291,x95295,x95294)+~P31(x95291,x95293,x95296,x95292)+E(f329(f36(x95291),x95292),f329(f36(x95293),x95294))+~P1(f329(f62(x95293),x95294))+~P1(f329(f62(x95291),x95292))+~P1(f329(f329(f239(f917(x95293,a904)),f329(f312(x95291,x95293,x95296),x95292)),x95294))+~P1(f329(f329(f239(f917(x95291,a904)),f329(f312(x95293,x95291,x95295),x95294)),x95292))
% 192.24/192.23 [9475]~P1(f329(f329(f240(a1),f329(f329(f82(a1),f329(f329(f83(a1),x94755),x94751)),x94756)),f2(a1)))+~E(f329(f329(f82(a1),f329(f329(f83(a1),x94753),x94752)),x94754),f329(f329(f82(a1),f329(f329(f83(a1),x94755),x94751)),x94756))+~P1(f329(f329(f240(a1),f2(a1)),x94755))+~P1(f329(f329(f239(a1),f2(a1)),x94756))+~P1(f329(f329(f240(a1),x94754),x94753))+~P1(f329(f329(f239(a1),x94755),x94753))+P1(f329(f329(f239(a1),x94751),x94752))
% 192.24/192.23 [9232]~E(f329(f329(f82(a1),f329(f329(f83(a1),x92323),x92321)),x92324),f329(f329(f82(a1),f329(f329(f83(a1),x92325),x92322)),x92326))+~P1(f329(f329(f240(a1),f2(a1)),x92325))+~P1(f329(f329(f239(a1),f2(a1)),x92324))+~P1(f329(f329(f240(a1),x92326),x92325))+~P1(f329(f329(f239(a1),x92325),x92323))+P1(f329(f329(f239(a1),x92321),x92322))+~P1(f329(f329(f239(a1),f2(a1)),f329(f329(f82(a1),f329(f329(f83(a1),x92325),x92322)),x92326)))
% 192.24/192.23 [9415]~P135(x94151)+~E(f329(f329(f82(x94151),x94152),x94154),f80(x94151))+~P1(f329(f329(f239(x94151),f2(x94151)),x94154))+~P1(f329(f329(f239(x94151),f2(x94151)),x94152))+~P1(f329(f329(f240(x94151),x94155),x94156))+~P1(f329(f329(f240(x94151),x94153),x94156))+P1(f329(f329(f240(x94151),f329(f329(f82(x94151),f329(f329(f83(x94151),x94152),x94153)),f329(f329(f83(x94151),x94154),x94155))),x94156))
% 192.24/192.23 [9416]~P134(x94161)+~E(f329(f329(f82(x94161),x94162),x94164),f80(x94161))+~P1(f329(f329(f239(x94161),x94165),x94166))+~P1(f329(f329(f239(x94161),x94163),x94166))+~P1(f329(f329(f239(x94161),f2(x94161)),x94164))+~P1(f329(f329(f239(x94161),f2(x94161)),x94162))+P1(f329(f329(f239(x94161),f329(f329(f82(x94161),f329(f329(f83(x94161),x94162),x94163)),f329(f329(f83(x94161),x94164),x94165))),x94166))
% 192.24/192.23 [10232]~P14(x102327,x102326,x102325)+E(x102321,x102322)+~P17(x102327,f917(x102324,a904),x102325,x102323)+E(f329(x102323,f514(x102321,x102322,x102323,x102324,x102325,x102326,x102327)),f329(x102323,f515(x102321,x102322,x102323,x102324,x102325,x102326,x102327)))+~E(f329(f329(f40(x102327,f917(x102324,a904)),x102321),x102323),f329(f329(f40(x102327,f917(x102324,a904)),x102322),x102323))+~P1(f329(f329(f331(f917(x102327,a904)),x102322),f329(f329(f61(x102327),x102326),x102325)))+~P1(f329(f329(f331(f917(x102327,a904)),x102321),f329(f329(f61(x102327),x102326),x102325)))
% 192.24/192.23 [10274]~P14(x102743,x102747,x102746)+E(x102741,x102742)+~P17(x102743,f917(x102745,a904),x102746,x102744)+~E(f329(f329(f40(x102743,f917(x102745,a904)),x102741),x102744),f329(f329(f40(x102743,f917(x102745,a904)),x102742),x102744))+P1(f329(f329(f331(x102743),f515(x102741,x102742,x102744,x102745,x102746,x102747,x102743)),x102747))+~P1(f329(f329(f331(f917(x102743,a904)),x102742),f329(f329(f61(x102743),x102747),x102746)))+~P1(f329(f329(f331(f917(x102743,a904)),x102741),f329(f329(f61(x102743),x102747),x102746)))
% 192.24/192.23 [10275]~P14(x102753,x102757,x102756)+E(x102751,x102752)+~P17(x102753,f917(x102755,a904),x102756,x102754)+~E(f329(f329(f40(x102753,f917(x102755,a904)),x102751),x102754),f329(f329(f40(x102753,f917(x102755,a904)),x102752),x102754))+P1(f329(f329(f331(x102753),f514(x102751,x102752,x102754,x102755,x102756,x102757,x102753)),x102757))+~P1(f329(f329(f331(f917(x102753,a904)),x102752),f329(f329(f61(x102753),x102757),x102756)))+~P1(f329(f329(f331(f917(x102753,a904)),x102751),f329(f329(f61(x102753),x102757),x102756)))
% 192.24/192.23 [10356]E(x103561,x103562)+~P14(x103563,x103566,x103567)+~P17(x103563,f917(x103564,a904),x103567,x103565)+~E(f329(f329(f40(x103563,f917(x103564,a904)),x103561),x103565),f329(f329(f40(x103563,f917(x103564,a904)),x103562),x103565))+~P1(f329(f329(f331(f916(x103563,x103563)),f329(f329(f257(x103563,x103563),f515(x103561,x103562,x103565,x103564,x103567,x103566,x103563)),f514(x103561,x103562,x103565,x103564,x103567,x103566,x103563))),x103567))+~P1(f329(f329(f331(f917(x103563,a904)),x103562),f329(f329(f61(x103563),x103566),x103567)))+~P1(f329(f329(f331(f917(x103563,a904)),x103561),f329(f329(f61(x103563),x103566),x103567)))
% 192.24/192.23 [9231]~P14(x92311,x92317,x92314)+~E(x92315,x92316)+~P1(f329(f329(f331(x92311),x92313),x92316))+~P1(f329(f329(f331(x92311),x92312),x92315))+~P1(f329(f329(f331(f917(x92311,a904)),x92316),f329(f329(f61(x92311),x92317),x92314)))+~P1(f329(f329(f331(f917(x92311,a904)),x92315),f329(f329(f61(x92311),x92317),x92314)))+P1(f329(f329(f331(f916(x92311,x92311)),f329(f329(f257(x92311,x92311),x92312),x92313)),x92314))
% 192.24/192.23 [9374]E(x93741,x93742)+~P14(x93743,x93744,x93745)+~P1(f329(f329(f331(x93743),x93746),x93742))+~P1(f329(f329(f331(x93743),x93747),x93741))+~P1(f329(f329(f331(f917(x93743,a904)),x93742),f329(f329(f61(x93743),x93744),x93745)))+~P1(f329(f329(f331(f917(x93743,a904)),x93741),f329(f329(f61(x93743),x93744),x93745)))+~P1(f329(f329(f331(f916(x93743,x93743)),f329(f329(f257(x93743,x93743),x93747),x93746)),x93745))
% 192.24/192.23 [10376]~P14(x103769,x103768,x103767)+~P14(x103761,x1037611,x1037610)+~P18(x103761,x103769,f917(x103766,a904),x1037610,x103767,x103765)+P1(f329(f329(f331(x103761),f517(x103762,x103763,x103764,x103765,x103766,x103767,x103768,x103769,x1037610,x1037611,x103761)),x1037611))+~P1(f329(f329(f331(f917(x103769,a904)),x103763),f329(f329(f61(x103769),x103768),x103767)))+~P1(f329(f329(f331(f917(x103761,a904)),x103764),f329(f329(f61(x103761),x1037611),x1037610)))+P1(f329(f329(f331(f917(x103766,a904)),f329(f329(f40(x103761,f917(x103766,a904)),x103764),f329(f329(f8(f917(x103769,f917(x103766,a904)),f917(x103766,a904),x103761),f329(f40(x103769,f917(x103766,a904)),x103763)),x103765))),x103762))
% 192.24/192.23 [10377]~P14(x1037711,x1037710,x103779)+~P14(x103771,x103778,x103777)+~P18(x1037711,x103771,f917(x103776,a904),x103779,x103777,x103775)+P1(f329(f329(f331(x103771),f518(x103772,x103773,x103774,x103775,x103776,x103777,x103778,x103771,x103779,x1037710,x1037711)),x103778))+~P1(f329(f329(f331(f917(x1037711,a904)),x103774),f329(f329(f61(x1037711),x1037710),x103779)))+~P1(f329(f329(f331(f917(x103771,a904)),x103773),f329(f329(f61(x103771),x103778),x103777)))+P1(f329(f329(f331(f917(x103776,a904)),f329(f329(f40(x1037711,f917(x103776,a904)),x103774),f329(f329(f8(f917(x103771,f917(x103776,a904)),f917(x103776,a904),x1037711),f329(f40(x103771,f917(x103776,a904)),x103773)),x103775))),x103772))
% 192.24/192.23 [10380]~P14(x103802,x103808,x103809)+~P14(x103804,x1038010,x1038011)+~P18(x103802,x103804,f917(x103801,a904),x103809,x1038011,x103806)+~P1(f329(f329(f331(f917(x103802,a904)),x103803),f329(f329(f61(x103802),x103808),x103809)))+~P1(f329(f329(f331(f917(x103804,a904)),x103805),f329(f329(f61(x103804),x1038010),x1038011)))+~P1(f329(f329(f331(f917(x103801,a904)),f329(f329(x103806,f517(x103807,x103805,x103803,x103806,x103801,x1038011,x1038010,x103804,x103809,x103808,x103802)),f518(x103807,x103805,x103803,x103806,x103801,x1038011,x1038010,x103804,x103809,x103808,x103802))),x103807))+P1(f329(f329(f331(f917(x103801,a904)),f329(f329(f40(x103802,f917(x103801,a904)),x103803),f329(f329(f8(f917(x103804,f917(x103801,a904)),f917(x103801,a904),x103802),f329(f40(x103804,f917(x103801,a904)),x103805)),x103806))),x103807))
% 192.24/192.23 [9275]E(x92751,x92752)+~P112(x92754)+~P31(x92753,x92754,x92755,f329(f329(f115(f917(x92753,a904)),f329(f175(x92753),x92751)),f329(f175(x92753),x92752)))+~E(f329(f175(x92753),x92751),f329(f175(x92753),x92752))+~P19(x92754,f329(f329(f157(x92753,x92754),x92755),x92752))+~P19(x92754,f329(f329(f157(x92753,x92754),x92755),x92751))+~P1(f329(f140(x92754),f329(f329(f157(x92753,x92754),x92755),x92752)))+~P1(f329(f140(x92754),f329(f329(f157(x92753,x92754),x92755),x92751)))
% 192.24/192.23 %EqnAxiom
% 192.24/192.23 [1]E(x11,x11)
% 192.24/192.23 [2]E(x22,x21)+~E(x21,x22)
% 192.24/192.23 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 192.24/192.23 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 192.24/192.23 [5]~E(x51,x52)+E(f105(x51),f105(x52))
% 192.24/192.23 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 192.24/192.23 [7]~E(x71,x72)+E(f191(x71),f191(x72))
% 192.24/192.23 [8]~E(x81,x82)+E(f329(x81,x83),f329(x82,x83))
% 192.24/192.23 [9]~E(x91,x92)+E(f329(x93,x91),f329(x93,x92))
% 192.24/192.23 [10]~E(x101,x102)+E(f30(x101),f30(x102))
% 192.24/192.23 [11]~E(x111,x112)+E(f5(x111),f5(x112))
% 192.24/192.23 [12]~E(x121,x122)+E(f106(x121),f106(x122))
% 192.24/192.23 [13]~E(x131,x132)+E(f237(x131),f237(x132))
% 192.24/192.23 [14]~E(x141,x142)+E(f115(x141),f115(x142))
% 192.24/192.23 [15]~E(x151,x152)+E(f238(x151),f238(x152))
% 192.24/192.23 [16]~E(x161,x162)+E(f107(x161),f107(x162))
% 192.24/192.23 [17]~E(x171,x172)+E(f33(x171),f33(x172))
% 192.24/192.23 [18]~E(x181,x182)+E(f86(x181),f86(x182))
% 192.24/192.23 [19]~E(x191,x192)+E(f917(x191,x193),f917(x192,x193))
% 192.24/192.23 [20]~E(x201,x202)+E(f917(x203,x201),f917(x203,x202))
% 192.24/192.23 [21]~E(x211,x212)+E(f240(x211),f240(x212))
% 192.24/192.23 [22]~E(x221,x222)+E(f518(x221,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f518(x222,x223,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 192.24/192.23 [23]~E(x231,x232)+E(f518(x233,x231,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312),f518(x233,x232,x234,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 192.24/192.23 [24]~E(x241,x242)+E(f518(x243,x244,x241,x245,x246,x247,x248,x249,x2410,x2411,x2412),f518(x243,x244,x242,x245,x246,x247,x248,x249,x2410,x2411,x2412))
% 192.24/192.23 [25]~E(x251,x252)+E(f518(x253,x254,x255,x251,x256,x257,x258,x259,x2510,x2511,x2512),f518(x253,x254,x255,x252,x256,x257,x258,x259,x2510,x2511,x2512))
% 192.24/192.23 [26]~E(x261,x262)+E(f518(x263,x264,x265,x266,x261,x267,x268,x269,x2610,x2611,x2612),f518(x263,x264,x265,x266,x262,x267,x268,x269,x2610,x2611,x2612))
% 192.24/192.23 [27]~E(x271,x272)+E(f518(x273,x274,x275,x276,x277,x271,x278,x279,x2710,x2711,x2712),f518(x273,x274,x275,x276,x277,x272,x278,x279,x2710,x2711,x2712))
% 192.24/192.23 [28]~E(x281,x282)+E(f518(x283,x284,x285,x286,x287,x288,x281,x289,x2810,x2811,x2812),f518(x283,x284,x285,x286,x287,x288,x282,x289,x2810,x2811,x2812))
% 192.24/192.23 [29]~E(x291,x292)+E(f518(x293,x294,x295,x296,x297,x298,x299,x291,x2910,x2911,x2912),f518(x293,x294,x295,x296,x297,x298,x299,x292,x2910,x2911,x2912))
% 192.24/192.23 [30]~E(x301,x302)+E(f518(x303,x304,x305,x306,x307,x308,x309,x3010,x301,x3011,x3012),f518(x303,x304,x305,x306,x307,x308,x309,x3010,x302,x3011,x3012))
% 192.24/192.23 [31]~E(x311,x312)+E(f518(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x311,x3112),f518(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x312,x3112))
% 192.24/192.23 [32]~E(x321,x322)+E(f518(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x321),f518(x323,x324,x325,x326,x327,x328,x329,x3210,x3211,x3212,x322))
% 192.24/192.23 [33]~E(x331,x332)+E(f7(x331,x333,x334),f7(x332,x333,x334))
% 192.24/192.23 [34]~E(x341,x342)+E(f7(x343,x341,x344),f7(x343,x342,x344))
% 192.24/192.23 [35]~E(x351,x352)+E(f7(x353,x354,x351),f7(x353,x354,x352))
% 192.24/192.23 [36]~E(x361,x362)+E(f80(x361),f80(x362))
% 192.24/192.23 [37]~E(x371,x372)+E(f517(x371,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712),f517(x372,x373,x374,x375,x376,x377,x378,x379,x3710,x3711,x3712))
% 192.24/192.23 [38]~E(x381,x382)+E(f517(x383,x381,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812),f517(x383,x382,x384,x385,x386,x387,x388,x389,x3810,x3811,x3812))
% 192.24/192.23 [39]~E(x391,x392)+E(f517(x393,x394,x391,x395,x396,x397,x398,x399,x3910,x3911,x3912),f517(x393,x394,x392,x395,x396,x397,x398,x399,x3910,x3911,x3912))
% 192.24/192.23 [40]~E(x401,x402)+E(f517(x403,x404,x405,x401,x406,x407,x408,x409,x4010,x4011,x4012),f517(x403,x404,x405,x402,x406,x407,x408,x409,x4010,x4011,x4012))
% 192.24/192.23 [41]~E(x411,x412)+E(f517(x413,x414,x415,x416,x411,x417,x418,x419,x4110,x4111,x4112),f517(x413,x414,x415,x416,x412,x417,x418,x419,x4110,x4111,x4112))
% 192.24/192.23 [42]~E(x421,x422)+E(f517(x423,x424,x425,x426,x427,x421,x428,x429,x4210,x4211,x4212),f517(x423,x424,x425,x426,x427,x422,x428,x429,x4210,x4211,x4212))
% 192.24/192.23 [43]~E(x431,x432)+E(f517(x433,x434,x435,x436,x437,x438,x431,x439,x4310,x4311,x4312),f517(x433,x434,x435,x436,x437,x438,x432,x439,x4310,x4311,x4312))
% 192.24/192.23 [44]~E(x441,x442)+E(f517(x443,x444,x445,x446,x447,x448,x449,x441,x4410,x4411,x4412),f517(x443,x444,x445,x446,x447,x448,x449,x442,x4410,x4411,x4412))
% 192.24/192.23 [45]~E(x451,x452)+E(f517(x453,x454,x455,x456,x457,x458,x459,x4510,x451,x4511,x4512),f517(x453,x454,x455,x456,x457,x458,x459,x4510,x452,x4511,x4512))
% 192.24/192.23 [46]~E(x461,x462)+E(f517(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x461,x4612),f517(x463,x464,x465,x466,x467,x468,x469,x4610,x4611,x462,x4612))
% 192.24/192.23 [47]~E(x471,x472)+E(f517(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x471),f517(x473,x474,x475,x476,x477,x478,x479,x4710,x4711,x4712,x472))
% 192.24/192.23 [48]~E(x481,x482)+E(f4(x481),f4(x482))
% 192.24/192.23 [49]~E(x491,x492)+E(f331(x491),f331(x492))
% 192.24/192.23 [50]~E(x501,x502)+E(f64(x501,x503),f64(x502,x503))
% 192.24/192.23 [51]~E(x511,x512)+E(f64(x513,x511),f64(x513,x512))
% 192.24/192.23 [52]~E(x521,x522)+E(f116(x521),f116(x522))
% 192.24/192.23 [53]~E(x531,x532)+E(f292(x531),f292(x532))
% 192.24/192.23 [54]~E(x541,x542)+E(f908(x541),f908(x542))
% 192.24/192.23 [55]~E(x551,x552)+E(f913(x551),f913(x552))
% 192.24/192.23 [56]~E(x561,x562)+E(f910(x561),f910(x562))
% 192.24/192.23 [57]~E(x571,x572)+E(f911(x571),f911(x572))
% 192.24/192.23 [58]~E(x581,x582)+E(f81(x581),f81(x582))
% 192.24/192.23 [59]~E(x591,x592)+E(f8(x591,x593,x594),f8(x592,x593,x594))
% 192.24/192.23 [60]~E(x601,x602)+E(f8(x603,x601,x604),f8(x603,x602,x604))
% 192.24/192.23 [61]~E(x611,x612)+E(f8(x613,x614,x611),f8(x613,x614,x612))
% 192.24/192.23 [62]~E(x621,x622)+E(f192(x621),f192(x622))
% 192.24/192.23 [63]~E(x631,x632)+E(f62(x631),f62(x632))
% 192.24/192.23 [64]~E(x641,x642)+E(f108(x641),f108(x642))
% 192.24/192.23 [65]~E(x651,x652)+E(f307(x651,x653,x654),f307(x652,x653,x654))
% 192.24/192.23 [66]~E(x661,x662)+E(f307(x663,x661,x664),f307(x663,x662,x664))
% 192.24/192.23 [67]~E(x671,x672)+E(f307(x673,x674,x671),f307(x673,x674,x672))
% 192.24/192.23 [68]~E(x681,x682)+E(f82(x681),f82(x682))
% 192.24/192.23 [69]~E(x691,x692)+E(f163(x691,x693),f163(x692,x693))
% 192.24/192.23 [70]~E(x701,x702)+E(f163(x703,x701),f163(x703,x702))
% 192.24/192.23 [71]~E(x711,x712)+E(f239(x711),f239(x712))
% 192.24/192.23 [72]~E(x721,x722)+E(f61(x721),f61(x722))
% 192.24/192.23 [73]~E(x731,x732)+E(f31(x731,x733),f31(x732,x733))
% 192.24/192.23 [74]~E(x741,x742)+E(f31(x743,x741),f31(x743,x742))
% 192.24/192.23 [75]~E(x751,x752)+E(f101(x751,x753),f101(x752,x753))
% 192.24/192.23 [76]~E(x761,x762)+E(f101(x763,x761),f101(x763,x762))
% 192.24/192.23 [77]~E(x771,x772)+E(f375(x771,x773,x774,x775),f375(x772,x773,x774,x775))
% 192.24/192.23 [78]~E(x781,x782)+E(f375(x783,x781,x784,x785),f375(x783,x782,x784,x785))
% 192.24/192.23 [79]~E(x791,x792)+E(f375(x793,x794,x791,x795),f375(x793,x794,x792,x795))
% 192.24/192.23 [80]~E(x801,x802)+E(f375(x803,x804,x805,x801),f375(x803,x804,x805,x802))
% 192.24/192.23 [81]~E(x811,x812)+E(f83(x811),f83(x812))
% 192.24/192.23 [82]~E(x821,x822)+E(f311(x821),f311(x822))
% 192.24/192.23 [83]~E(x831,x832)+E(f257(x831,x833),f257(x832,x833))
% 192.24/192.23 [84]~E(x841,x842)+E(f257(x843,x841),f257(x843,x842))
% 192.24/192.23 [85]~E(x851,x852)+E(f916(x851,x853),f916(x852,x853))
% 192.24/192.23 [86]~E(x861,x862)+E(f916(x863,x861),f916(x863,x862))
% 192.24/192.23 [87]~E(x871,x872)+E(f37(x871),f37(x872))
% 192.24/192.23 [88]~E(x881,x882)+E(f18(x881,x883,x884),f18(x882,x883,x884))
% 192.24/192.23 [89]~E(x891,x892)+E(f18(x893,x891,x894),f18(x893,x892,x894))
% 192.24/192.23 [90]~E(x901,x902)+E(f18(x903,x904,x901),f18(x903,x904,x902))
% 192.24/192.23 [91]~E(x911,x912)+E(f93(x911),f93(x912))
% 192.24/192.23 [92]~E(x921,x922)+E(f48(x921,x923),f48(x922,x923))
% 192.24/192.23 [93]~E(x931,x932)+E(f48(x933,x931),f48(x933,x932))
% 192.24/192.23 [94]~E(x941,x942)+E(f6(x941,x943),f6(x942,x943))
% 192.24/192.23 [95]~E(x951,x952)+E(f6(x953,x951),f6(x953,x952))
% 192.24/192.23 [96]~E(x961,x962)+E(f174(x961),f174(x962))
% 192.24/192.23 [97]~E(x971,x972)+E(f140(x971),f140(x972))
% 192.24/192.23 [98]~E(x981,x982)+E(f267(x981),f267(x982))
% 192.24/192.23 [99]~E(x991,x992)+E(f10(x991,x993),f10(x992,x993))
% 192.24/192.23 [100]~E(x1001,x1002)+E(f10(x1003,x1001),f10(x1003,x1002))
% 192.24/192.23 [101]~E(x1011,x1012)+E(f9(x1011,x1013),f9(x1012,x1013))
% 192.24/192.23 [102]~E(x1021,x1022)+E(f9(x1023,x1021),f9(x1023,x1022))
% 192.24/192.23 [103]~E(x1031,x1032)+E(f159(x1031,x1033,x1034,x1035),f159(x1032,x1033,x1034,x1035))
% 192.24/192.23 [104]~E(x1041,x1042)+E(f159(x1043,x1041,x1044,x1045),f159(x1043,x1042,x1044,x1045))
% 192.24/192.23 [105]~E(x1051,x1052)+E(f159(x1053,x1054,x1051,x1055),f159(x1053,x1054,x1052,x1055))
% 192.24/192.23 [106]~E(x1061,x1062)+E(f159(x1063,x1064,x1065,x1061),f159(x1063,x1064,x1065,x1062))
% 192.24/192.23 [107]~E(x1071,x1072)+E(f15(x1071,x1073),f15(x1072,x1073))
% 192.24/192.23 [108]~E(x1081,x1082)+E(f15(x1083,x1081),f15(x1083,x1082))
% 192.24/192.23 [109]~E(x1091,x1092)+E(f309(x1091,x1093),f309(x1092,x1093))
% 192.24/192.23 [110]~E(x1101,x1102)+E(f309(x1103,x1101),f309(x1103,x1102))
% 192.24/192.23 [111]~E(x1111,x1112)+E(f578(x1111,x1113,x1114),f578(x1112,x1113,x1114))
% 192.24/192.23 [112]~E(x1121,x1122)+E(f578(x1123,x1121,x1124),f578(x1123,x1122,x1124))
% 192.24/192.23 [113]~E(x1131,x1132)+E(f578(x1133,x1134,x1131),f578(x1133,x1134,x1132))
% 192.24/192.23 [114]~E(x1141,x1142)+E(f312(x1141,x1143,x1144),f312(x1142,x1143,x1144))
% 192.24/192.23 [115]~E(x1151,x1152)+E(f312(x1153,x1151,x1154),f312(x1153,x1152,x1154))
% 192.24/192.23 [116]~E(x1161,x1162)+E(f312(x1163,x1164,x1161),f312(x1163,x1164,x1162))
% 192.24/192.23 [117]~E(x1171,x1172)+E(f137(x1171),f137(x1172))
% 192.24/192.23 [118]~E(x1181,x1182)+E(f186(x1181,x1183),f186(x1182,x1183))
% 192.24/192.23 [119]~E(x1191,x1192)+E(f186(x1193,x1191),f186(x1193,x1192))
% 192.24/192.23 [120]~E(x1201,x1202)+E(f172(x1201,x1203,x1204),f172(x1202,x1203,x1204))
% 192.24/192.23 [121]~E(x1211,x1212)+E(f172(x1213,x1211,x1214),f172(x1213,x1212,x1214))
% 192.24/192.23 [122]~E(x1221,x1222)+E(f172(x1223,x1224,x1221),f172(x1223,x1224,x1222))
% 192.24/192.23 [123]~E(x1231,x1232)+E(f249(x1231),f249(x1232))
% 192.24/192.23 [124]~E(x1241,x1242)+E(f142(x1241,x1243),f142(x1242,x1243))
% 192.24/192.23 [125]~E(x1251,x1252)+E(f142(x1253,x1251),f142(x1253,x1252))
% 192.24/192.23 [126]~E(x1261,x1262)+E(f607(x1261,x1263,x1264,x1265,x1266),f607(x1262,x1263,x1264,x1265,x1266))
% 192.24/192.23 [127]~E(x1271,x1272)+E(f607(x1273,x1271,x1274,x1275,x1276),f607(x1273,x1272,x1274,x1275,x1276))
% 192.24/192.23 [128]~E(x1281,x1282)+E(f607(x1283,x1284,x1281,x1285,x1286),f607(x1283,x1284,x1282,x1285,x1286))
% 192.24/192.23 [129]~E(x1291,x1292)+E(f607(x1293,x1294,x1295,x1291,x1296),f607(x1293,x1294,x1295,x1292,x1296))
% 192.24/192.23 [130]~E(x1301,x1302)+E(f607(x1303,x1304,x1305,x1306,x1301),f607(x1303,x1304,x1305,x1306,x1302))
% 192.24/192.23 [131]~E(x1311,x1312)+E(f305(x1311,x1313,x1314),f305(x1312,x1313,x1314))
% 192.24/192.23 [132]~E(x1321,x1322)+E(f305(x1323,x1321,x1324),f305(x1323,x1322,x1324))
% 192.24/192.23 [133]~E(x1331,x1332)+E(f305(x1333,x1334,x1331),f305(x1333,x1334,x1332))
% 192.24/192.23 [134]~E(x1341,x1342)+E(f157(x1341,x1343),f157(x1342,x1343))
% 192.24/192.23 [135]~E(x1351,x1352)+E(f157(x1353,x1351),f157(x1353,x1352))
% 192.24/192.23 [136]~E(x1361,x1362)+E(f462(x1361,x1363),f462(x1362,x1363))
% 192.24/192.23 [137]~E(x1371,x1372)+E(f462(x1373,x1371),f462(x1373,x1372))
% 192.24/192.23 [138]~E(x1381,x1382)+E(f139(x1381,x1383),f139(x1382,x1383))
% 192.24/192.23 [139]~E(x1391,x1392)+E(f139(x1393,x1391),f139(x1393,x1392))
% 192.24/192.23 [140]~E(x1401,x1402)+E(f39(x1401,x1403),f39(x1402,x1403))
% 192.24/192.23 [141]~E(x1411,x1412)+E(f39(x1413,x1411),f39(x1413,x1412))
% 192.24/192.23 [142]~E(x1421,x1422)+E(f119(x1421,x1423),f119(x1422,x1423))
% 192.24/192.23 [143]~E(x1431,x1432)+E(f119(x1433,x1431),f119(x1433,x1432))
% 192.24/192.23 [144]~E(x1441,x1442)+E(f700(x1441,x1443,x1444),f700(x1442,x1443,x1444))
% 192.24/192.23 [145]~E(x1451,x1452)+E(f700(x1453,x1451,x1454),f700(x1453,x1452,x1454))
% 192.24/192.23 [146]~E(x1461,x1462)+E(f700(x1463,x1464,x1461),f700(x1463,x1464,x1462))
% 192.24/192.23 [147]~E(x1471,x1472)+E(f110(x1471),f110(x1472))
% 192.24/192.23 [148]~E(x1481,x1482)+E(f111(x1481),f111(x1482))
% 192.24/192.23 [149]~E(x1491,x1492)+E(f330(x1491),f330(x1492))
% 192.24/192.23 [150]~E(x1501,x1502)+E(f814(x1501,x1503),f814(x1502,x1503))
% 192.24/192.23 [151]~E(x1511,x1512)+E(f814(x1513,x1511),f814(x1513,x1512))
% 192.24/192.23 [152]~E(x1521,x1522)+E(f567(x1521),f567(x1522))
% 192.24/192.23 [153]~E(x1531,x1532)+E(f145(x1531,x1533,x1534,x1535),f145(x1532,x1533,x1534,x1535))
% 192.24/192.23 [154]~E(x1541,x1542)+E(f145(x1543,x1541,x1544,x1545),f145(x1543,x1542,x1544,x1545))
% 192.24/192.23 [155]~E(x1551,x1552)+E(f145(x1553,x1554,x1551,x1555),f145(x1553,x1554,x1552,x1555))
% 192.24/192.23 [156]~E(x1561,x1562)+E(f145(x1563,x1564,x1565,x1561),f145(x1563,x1564,x1565,x1562))
% 192.24/192.23 [157]~E(x1571,x1572)+E(f184(x1571,x1573),f184(x1572,x1573))
% 192.24/192.23 [158]~E(x1581,x1582)+E(f184(x1583,x1581),f184(x1583,x1582))
% 192.24/192.23 [159]~E(x1591,x1592)+E(f246(x1591,x1593),f246(x1592,x1593))
% 192.24/192.23 [160]~E(x1601,x1602)+E(f246(x1603,x1601),f246(x1603,x1602))
% 192.24/192.23 [161]~E(x1611,x1612)+E(f178(x1611),f178(x1612))
% 192.24/192.23 [162]~E(x1621,x1622)+E(f40(x1621,x1623),f40(x1622,x1623))
% 192.24/192.23 [163]~E(x1631,x1632)+E(f40(x1633,x1631),f40(x1633,x1632))
% 192.24/192.23 [164]~E(x1641,x1642)+E(f197(x1641),f197(x1642))
% 192.24/192.23 [165]~E(x1651,x1652)+E(f99(x1651),f99(x1652))
% 192.24/192.23 [166]~E(x1661,x1662)+E(f168(x1661),f168(x1662))
% 192.24/192.23 [167]~E(x1671,x1672)+E(f175(x1671),f175(x1672))
% 192.24/192.23 [168]~E(x1681,x1682)+E(f261(x1681,x1683),f261(x1682,x1683))
% 192.24/192.23 [169]~E(x1691,x1692)+E(f261(x1693,x1691),f261(x1693,x1692))
% 192.24/192.23 [170]~E(x1701,x1702)+E(f77(x1701),f77(x1702))
% 192.24/192.23 [171]~E(x1711,x1712)+E(f356(x1711,x1713),f356(x1712,x1713))
% 192.24/192.23 [172]~E(x1721,x1722)+E(f356(x1723,x1721),f356(x1723,x1722))
% 192.24/192.23 [173]~E(x1731,x1732)+E(f89(x1731),f89(x1732))
% 192.24/192.23 [174]~E(x1741,x1742)+E(f735(x1741,x1743,x1744),f735(x1742,x1743,x1744))
% 192.24/192.23 [175]~E(x1751,x1752)+E(f735(x1753,x1751,x1754),f735(x1753,x1752,x1754))
% 192.24/192.23 [176]~E(x1761,x1762)+E(f735(x1763,x1764,x1761),f735(x1763,x1764,x1762))
% 192.24/192.23 [177]~E(x1771,x1772)+E(f141(x1771),f141(x1772))
% 192.24/192.23 [178]~E(x1781,x1782)+E(f248(x1781,x1783,x1784),f248(x1782,x1783,x1784))
% 192.24/192.23 [179]~E(x1791,x1792)+E(f248(x1793,x1791,x1794),f248(x1793,x1792,x1794))
% 192.24/192.23 [180]~E(x1801,x1802)+E(f248(x1803,x1804,x1801),f248(x1803,x1804,x1802))
% 192.24/192.23 [181]~E(x1811,x1812)+E(f95(x1811,x1813,x1814),f95(x1812,x1813,x1814))
% 192.24/192.23 [182]~E(x1821,x1822)+E(f95(x1823,x1821,x1824),f95(x1823,x1822,x1824))
% 192.24/192.23 [183]~E(x1831,x1832)+E(f95(x1833,x1834,x1831),f95(x1833,x1834,x1832))
% 192.24/192.23 [184]~E(x1841,x1842)+E(f780(x1841,x1843,x1844),f780(x1842,x1843,x1844))
% 192.24/192.23 [185]~E(x1851,x1852)+E(f780(x1853,x1851,x1854),f780(x1853,x1852,x1854))
% 192.24/192.23 [186]~E(x1861,x1862)+E(f780(x1863,x1864,x1861),f780(x1863,x1864,x1862))
% 192.24/192.23 [187]~E(x1871,x1872)+E(f317(x1871,x1873),f317(x1872,x1873))
% 192.24/192.23 [188]~E(x1881,x1882)+E(f317(x1883,x1881),f317(x1883,x1882))
% 192.24/192.23 [189]~E(x1891,x1892)+E(f118(x1891),f118(x1892))
% 192.24/192.23 [190]~E(x1901,x1902)+E(f156(x1901,x1903),f156(x1902,x1903))
% 192.24/192.23 [191]~E(x1911,x1912)+E(f156(x1913,x1911),f156(x1913,x1912))
% 192.24/192.23 [192]~E(x1921,x1922)+E(f298(x1921,x1923,x1924,x1925),f298(x1922,x1923,x1924,x1925))
% 192.24/192.23 [193]~E(x1931,x1932)+E(f298(x1933,x1931,x1934,x1935),f298(x1933,x1932,x1934,x1935))
% 192.24/192.23 [194]~E(x1941,x1942)+E(f298(x1943,x1944,x1941,x1945),f298(x1943,x1944,x1942,x1945))
% 192.24/192.23 [195]~E(x1951,x1952)+E(f298(x1953,x1954,x1955,x1951),f298(x1953,x1954,x1955,x1952))
% 192.24/192.23 [196]~E(x1961,x1962)+E(f256(x1961,x1963),f256(x1962,x1963))
% 192.24/192.23 [197]~E(x1971,x1972)+E(f256(x1973,x1971),f256(x1973,x1972))
% 192.24/192.23 [198]~E(x1981,x1982)+E(f46(x1981,x1983,x1984),f46(x1982,x1983,x1984))
% 192.24/192.23 [199]~E(x1991,x1992)+E(f46(x1993,x1991,x1994),f46(x1993,x1992,x1994))
% 192.24/192.23 [200]~E(x2001,x2002)+E(f46(x2003,x2004,x2001),f46(x2003,x2004,x2002))
% 192.24/192.23 [201]~E(x2011,x2012)+E(f625(x2011,x2013,x2014,x2015,x2016),f625(x2012,x2013,x2014,x2015,x2016))
% 192.24/192.23 [202]~E(x2021,x2022)+E(f625(x2023,x2021,x2024,x2025,x2026),f625(x2023,x2022,x2024,x2025,x2026))
% 192.24/192.23 [203]~E(x2031,x2032)+E(f625(x2033,x2034,x2031,x2035,x2036),f625(x2033,x2034,x2032,x2035,x2036))
% 192.24/192.23 [204]~E(x2041,x2042)+E(f625(x2043,x2044,x2045,x2041,x2046),f625(x2043,x2044,x2045,x2042,x2046))
% 192.24/192.23 [205]~E(x2051,x2052)+E(f625(x2053,x2054,x2055,x2056,x2051),f625(x2053,x2054,x2055,x2056,x2052))
% 192.24/192.23 [206]~E(x2061,x2062)+E(f222(x2061,x2063),f222(x2062,x2063))
% 192.24/192.23 [207]~E(x2071,x2072)+E(f222(x2073,x2071),f222(x2073,x2072))
% 192.24/192.23 [208]~E(x2081,x2082)+E(f66(x2081,x2083,x2084),f66(x2082,x2083,x2084))
% 192.24/192.23 [209]~E(x2091,x2092)+E(f66(x2093,x2091,x2094),f66(x2093,x2092,x2094))
% 192.24/192.23 [210]~E(x2101,x2102)+E(f66(x2103,x2104,x2101),f66(x2103,x2104,x2102))
% 192.24/192.23 [211]~E(x2111,x2112)+E(f154(x2111),f154(x2112))
% 192.24/192.23 [212]~E(x2121,x2122)+E(f87(x2121,x2123),f87(x2122,x2123))
% 192.24/192.23 [213]~E(x2131,x2132)+E(f87(x2133,x2131),f87(x2133,x2132))
% 192.24/192.23 [214]~E(x2141,x2142)+E(f291(x2141,x2143,x2144),f291(x2142,x2143,x2144))
% 192.24/192.23 [215]~E(x2151,x2152)+E(f291(x2153,x2151,x2154),f291(x2153,x2152,x2154))
% 192.24/192.23 [216]~E(x2161,x2162)+E(f291(x2163,x2164,x2161),f291(x2163,x2164,x2162))
% 192.24/192.23 [217]~E(x2171,x2172)+E(f12(x2171,x2173,x2174),f12(x2172,x2173,x2174))
% 192.24/192.23 [218]~E(x2181,x2182)+E(f12(x2183,x2181,x2184),f12(x2183,x2182,x2184))
% 192.24/192.23 [219]~E(x2191,x2192)+E(f12(x2193,x2194,x2191),f12(x2193,x2194,x2192))
% 192.24/192.23 [220]~E(x2201,x2202)+E(f150(x2201,x2203),f150(x2202,x2203))
% 192.24/192.23 [221]~E(x2211,x2212)+E(f150(x2213,x2211),f150(x2213,x2212))
% 192.24/192.23 [222]~E(x2221,x2222)+E(f535(x2221,x2223),f535(x2222,x2223))
% 192.24/192.23 [223]~E(x2231,x2232)+E(f535(x2233,x2231),f535(x2233,x2232))
% 192.24/192.23 [224]~E(x2241,x2242)+E(f262(x2241,x2243,x2244),f262(x2242,x2243,x2244))
% 192.24/192.23 [225]~E(x2251,x2252)+E(f262(x2253,x2251,x2254),f262(x2253,x2252,x2254))
% 192.24/192.23 [226]~E(x2261,x2262)+E(f262(x2263,x2264,x2261),f262(x2263,x2264,x2262))
% 192.24/192.23 [227]~E(x2271,x2272)+E(f450(x2271,x2273,x2274,x2275),f450(x2272,x2273,x2274,x2275))
% 192.24/192.23 [228]~E(x2281,x2282)+E(f450(x2283,x2281,x2284,x2285),f450(x2283,x2282,x2284,x2285))
% 192.24/192.23 [229]~E(x2291,x2292)+E(f450(x2293,x2294,x2291,x2295),f450(x2293,x2294,x2292,x2295))
% 192.24/192.23 [230]~E(x2301,x2302)+E(f450(x2303,x2304,x2305,x2301),f450(x2303,x2304,x2305,x2302))
% 192.24/192.23 [231]~E(x2311,x2312)+E(f167(x2311),f167(x2312))
% 192.24/192.23 [232]~E(x2321,x2322)+E(f255(x2321,x2323,x2324),f255(x2322,x2323,x2324))
% 192.24/192.23 [233]~E(x2331,x2332)+E(f255(x2333,x2331,x2334),f255(x2333,x2332,x2334))
% 192.24/192.23 [234]~E(x2341,x2342)+E(f255(x2343,x2344,x2341),f255(x2343,x2344,x2342))
% 192.24/192.23 [235]~E(x2351,x2352)+E(f572(x2351,x2353),f572(x2352,x2353))
% 192.24/192.23 [236]~E(x2361,x2362)+E(f572(x2363,x2361),f572(x2363,x2362))
% 192.24/192.23 [237]~E(x2371,x2372)+E(f304(x2371,x2373),f304(x2372,x2373))
% 192.24/192.23 [238]~E(x2381,x2382)+E(f304(x2383,x2381),f304(x2383,x2382))
% 192.24/192.23 [239]~E(x2391,x2392)+E(f51(x2391,x2393),f51(x2392,x2393))
% 192.24/192.23 [240]~E(x2401,x2402)+E(f51(x2403,x2401),f51(x2403,x2402))
% 192.24/192.23 [241]~E(x2411,x2412)+E(f429(x2411,x2413),f429(x2412,x2413))
% 192.24/192.23 [242]~E(x2421,x2422)+E(f429(x2423,x2421),f429(x2423,x2422))
% 192.24/192.23 [243]~E(x2431,x2432)+E(f732(x2431,x2433),f732(x2432,x2433))
% 192.24/192.23 [244]~E(x2441,x2442)+E(f732(x2443,x2441),f732(x2443,x2442))
% 192.24/192.23 [245]~E(x2451,x2452)+E(f542(x2451,x2453,x2454,x2455),f542(x2452,x2453,x2454,x2455))
% 192.24/192.23 [246]~E(x2461,x2462)+E(f542(x2463,x2461,x2464,x2465),f542(x2463,x2462,x2464,x2465))
% 192.24/192.23 [247]~E(x2471,x2472)+E(f542(x2473,x2474,x2471,x2475),f542(x2473,x2474,x2472,x2475))
% 192.24/192.23 [248]~E(x2481,x2482)+E(f542(x2483,x2484,x2485,x2481),f542(x2483,x2484,x2485,x2482))
% 192.24/192.23 [249]~E(x2491,x2492)+E(f36(x2491),f36(x2492))
% 192.24/192.23 [250]~E(x2501,x2502)+E(f886(x2501,x2503,x2504,x2505),f886(x2502,x2503,x2504,x2505))
% 192.24/192.23 [251]~E(x2511,x2512)+E(f886(x2513,x2511,x2514,x2515),f886(x2513,x2512,x2514,x2515))
% 192.24/192.23 [252]~E(x2521,x2522)+E(f886(x2523,x2524,x2521,x2525),f886(x2523,x2524,x2522,x2525))
% 192.24/192.23 [253]~E(x2531,x2532)+E(f886(x2533,x2534,x2535,x2531),f886(x2533,x2534,x2535,x2532))
% 192.24/192.23 [254]~E(x2541,x2542)+E(f449(x2541,x2543,x2544),f449(x2542,x2543,x2544))
% 192.24/192.23 [255]~E(x2551,x2552)+E(f449(x2553,x2551,x2554),f449(x2553,x2552,x2554))
% 192.24/192.23 [256]~E(x2561,x2562)+E(f449(x2563,x2564,x2561),f449(x2563,x2564,x2562))
% 192.24/192.23 [257]~E(x2571,x2572)+E(f50(x2571,x2573),f50(x2572,x2573))
% 192.24/192.23 [258]~E(x2581,x2582)+E(f50(x2583,x2581),f50(x2583,x2582))
% 192.24/192.23 [259]~E(x2591,x2592)+E(f155(x2591,x2593),f155(x2592,x2593))
% 192.24/192.23 [260]~E(x2601,x2602)+E(f155(x2603,x2601),f155(x2603,x2602))
% 192.24/192.23 [261]~E(x2611,x2612)+E(f65(x2611,x2613,x2614),f65(x2612,x2613,x2614))
% 192.24/192.23 [262]~E(x2621,x2622)+E(f65(x2623,x2621,x2624),f65(x2623,x2622,x2624))
% 192.24/192.23 [263]~E(x2631,x2632)+E(f65(x2633,x2634,x2631),f65(x2633,x2634,x2632))
% 192.24/192.23 [264]~E(x2641,x2642)+E(f194(x2641),f194(x2642))
% 192.24/192.23 [265]~E(x2651,x2652)+E(f84(x2651,x2653),f84(x2652,x2653))
% 192.24/192.23 [266]~E(x2661,x2662)+E(f84(x2663,x2661),f84(x2663,x2662))
% 192.24/192.23 [267]~E(x2671,x2672)+E(f120(x2671),f120(x2672))
% 192.24/192.23 [268]~E(x2681,x2682)+E(f310(x2681),f310(x2682))
% 192.24/192.23 [269]~E(x2691,x2692)+E(f213(x2691,x2693,x2694,x2695),f213(x2692,x2693,x2694,x2695))
% 192.24/192.23 [270]~E(x2701,x2702)+E(f213(x2703,x2701,x2704,x2705),f213(x2703,x2702,x2704,x2705))
% 192.24/192.23 [271]~E(x2711,x2712)+E(f213(x2713,x2714,x2711,x2715),f213(x2713,x2714,x2712,x2715))
% 192.24/192.23 [272]~E(x2721,x2722)+E(f213(x2723,x2724,x2725,x2721),f213(x2723,x2724,x2725,x2722))
% 192.24/192.23 [273]~E(x2731,x2732)+E(f16(x2731,x2733),f16(x2732,x2733))
% 192.24/192.23 [274]~E(x2741,x2742)+E(f16(x2743,x2741),f16(x2743,x2742))
% 192.24/192.23 [275]~E(x2751,x2752)+E(f915(x2751,x2753),f915(x2752,x2753))
% 192.24/192.23 [276]~E(x2761,x2762)+E(f915(x2763,x2761),f915(x2763,x2762))
% 192.24/192.23 [277]~E(x2771,x2772)+E(f460(x2771,x2773),f460(x2772,x2773))
% 192.24/192.23 [278]~E(x2781,x2782)+E(f460(x2783,x2781),f460(x2783,x2782))
% 192.24/192.23 [279]~E(x2791,x2792)+E(f914(x2791,x2793),f914(x2792,x2793))
% 192.24/192.23 [280]~E(x2801,x2802)+E(f914(x2803,x2801),f914(x2803,x2802))
% 192.24/192.23 [281]~E(x2811,x2812)+E(f170(x2811),f170(x2812))
% 192.24/192.23 [282]~E(x2821,x2822)+E(f180(x2821,x2823,x2824),f180(x2822,x2823,x2824))
% 192.24/192.23 [283]~E(x2831,x2832)+E(f180(x2833,x2831,x2834),f180(x2833,x2832,x2834))
% 192.24/192.23 [284]~E(x2841,x2842)+E(f180(x2843,x2844,x2841),f180(x2843,x2844,x2842))
% 192.24/192.23 [285]~E(x2851,x2852)+E(f437(x2851,x2853,x2854,x2855,x2856),f437(x2852,x2853,x2854,x2855,x2856))
% 192.24/192.23 [286]~E(x2861,x2862)+E(f437(x2863,x2861,x2864,x2865,x2866),f437(x2863,x2862,x2864,x2865,x2866))
% 192.24/192.23 [287]~E(x2871,x2872)+E(f437(x2873,x2874,x2871,x2875,x2876),f437(x2873,x2874,x2872,x2875,x2876))
% 192.24/192.23 [288]~E(x2881,x2882)+E(f437(x2883,x2884,x2885,x2881,x2886),f437(x2883,x2884,x2885,x2882,x2886))
% 192.24/192.23 [289]~E(x2891,x2892)+E(f437(x2893,x2894,x2895,x2896,x2891),f437(x2893,x2894,x2895,x2896,x2892))
% 192.24/192.23 [290]~E(x2901,x2902)+E(f29(x2901,x2903,x2904),f29(x2902,x2903,x2904))
% 192.24/192.23 [291]~E(x2911,x2912)+E(f29(x2913,x2911,x2914),f29(x2913,x2912,x2914))
% 192.24/192.23 [292]~E(x2921,x2922)+E(f29(x2923,x2924,x2921),f29(x2923,x2924,x2922))
% 192.24/192.23 [293]~E(x2931,x2932)+E(f94(x2931,x2933,x2934,x2935),f94(x2932,x2933,x2934,x2935))
% 192.24/192.23 [294]~E(x2941,x2942)+E(f94(x2943,x2941,x2944,x2945),f94(x2943,x2942,x2944,x2945))
% 192.24/192.23 [295]~E(x2951,x2952)+E(f94(x2953,x2954,x2951,x2955),f94(x2953,x2954,x2952,x2955))
% 192.24/192.23 [296]~E(x2961,x2962)+E(f94(x2963,x2964,x2965,x2961),f94(x2963,x2964,x2965,x2962))
% 192.24/192.23 [297]~E(x2971,x2972)+E(f247(x2971),f247(x2972))
% 192.24/192.23 [298]~E(x2981,x2982)+E(f148(x2981,x2983),f148(x2982,x2983))
% 192.24/192.23 [299]~E(x2991,x2992)+E(f148(x2993,x2991),f148(x2993,x2992))
% 192.24/192.23 [300]~E(x3001,x3002)+E(f269(x3001,x3003),f269(x3002,x3003))
% 192.24/192.23 [301]~E(x3011,x3012)+E(f269(x3013,x3011),f269(x3013,x3012))
% 192.24/192.23 [302]~E(x3021,x3022)+E(f171(x3021),f171(x3022))
% 192.24/192.23 [303]~E(x3031,x3032)+E(f288(x3031,x3033,x3034),f288(x3032,x3033,x3034))
% 192.24/192.23 [304]~E(x3041,x3042)+E(f288(x3043,x3041,x3044),f288(x3043,x3042,x3044))
% 192.24/192.23 [305]~E(x3051,x3052)+E(f288(x3053,x3054,x3051),f288(x3053,x3054,x3052))
% 192.24/192.23 [306]~E(x3061,x3062)+E(f63(x3061,x3063,x3064),f63(x3062,x3063,x3064))
% 192.24/192.23 [307]~E(x3071,x3072)+E(f63(x3073,x3071,x3074),f63(x3073,x3072,x3074))
% 192.24/192.23 [308]~E(x3081,x3082)+E(f63(x3083,x3084,x3081),f63(x3083,x3084,x3082))
% 192.24/192.23 [309]~E(x3091,x3092)+E(f162(x3091,x3093),f162(x3092,x3093))
% 192.24/192.23 [310]~E(x3101,x3102)+E(f162(x3103,x3101),f162(x3103,x3102))
% 192.24/192.23 [311]~E(x3111,x3112)+E(f216(x3111),f216(x3112))
% 192.24/192.23 [312]~E(x3121,x3122)+E(f852(x3121,x3123,x3124),f852(x3122,x3123,x3124))
% 192.24/192.23 [313]~E(x3131,x3132)+E(f852(x3133,x3131,x3134),f852(x3133,x3132,x3134))
% 192.24/192.23 [314]~E(x3141,x3142)+E(f852(x3143,x3144,x3141),f852(x3143,x3144,x3142))
% 192.24/192.23 [315]~E(x3151,x3152)+E(f41(x3151,x3153),f41(x3152,x3153))
% 192.24/192.23 [316]~E(x3161,x3162)+E(f41(x3163,x3161),f41(x3163,x3162))
% 192.24/192.23 [317]~E(x3171,x3172)+E(f74(x3171,x3173,x3174,x3175),f74(x3172,x3173,x3174,x3175))
% 192.24/192.23 [318]~E(x3181,x3182)+E(f74(x3183,x3181,x3184,x3185),f74(x3183,x3182,x3184,x3185))
% 192.24/192.23 [319]~E(x3191,x3192)+E(f74(x3193,x3194,x3191,x3195),f74(x3193,x3194,x3192,x3195))
% 192.24/192.23 [320]~E(x3201,x3202)+E(f74(x3203,x3204,x3205,x3201),f74(x3203,x3204,x3205,x3202))
% 192.24/192.23 [321]~E(x3211,x3212)+E(f32(x3211,x3213),f32(x3212,x3213))
% 192.24/192.23 [322]~E(x3221,x3222)+E(f32(x3223,x3221),f32(x3223,x3222))
% 192.24/192.23 [323]~E(x3231,x3232)+E(f320(x3231,x3233),f320(x3232,x3233))
% 192.24/192.23 [324]~E(x3241,x3242)+E(f320(x3243,x3241),f320(x3243,x3242))
% 192.24/192.23 [325]~E(x3251,x3252)+E(f303(x3251),f303(x3252))
% 192.24/192.23 [326]~E(x3261,x3262)+E(f322(x3261,x3263),f322(x3262,x3263))
% 192.24/192.23 [327]~E(x3271,x3272)+E(f322(x3273,x3271),f322(x3273,x3272))
% 192.24/192.23 [328]~E(x3281,x3282)+E(f220(x3281,x3283),f220(x3282,x3283))
% 192.24/192.23 [329]~E(x3291,x3292)+E(f220(x3293,x3291),f220(x3293,x3292))
% 192.24/192.23 [330]~E(x3301,x3302)+E(f560(x3301,x3303,x3304),f560(x3302,x3303,x3304))
% 192.24/192.23 [331]~E(x3311,x3312)+E(f560(x3313,x3311,x3314),f560(x3313,x3312,x3314))
% 192.24/192.23 [332]~E(x3321,x3322)+E(f560(x3323,x3324,x3321),f560(x3323,x3324,x3322))
% 192.24/192.23 [333]~E(x3331,x3332)+E(f67(x3331,x3333,x3334,x3335,x3336),f67(x3332,x3333,x3334,x3335,x3336))
% 192.24/192.23 [334]~E(x3341,x3342)+E(f67(x3343,x3341,x3344,x3345,x3346),f67(x3343,x3342,x3344,x3345,x3346))
% 192.24/192.23 [335]~E(x3351,x3352)+E(f67(x3353,x3354,x3351,x3355,x3356),f67(x3353,x3354,x3352,x3355,x3356))
% 192.24/192.23 [336]~E(x3361,x3362)+E(f67(x3363,x3364,x3365,x3361,x3366),f67(x3363,x3364,x3365,x3362,x3366))
% 192.24/192.23 [337]~E(x3371,x3372)+E(f67(x3373,x3374,x3375,x3376,x3371),f67(x3373,x3374,x3375,x3376,x3372))
% 192.24/192.23 [338]~E(x3381,x3382)+E(f38(x3381,x3383),f38(x3382,x3383))
% 192.24/192.23 [339]~E(x3391,x3392)+E(f38(x3393,x3391),f38(x3393,x3392))
% 192.24/192.23 [340]~E(x3401,x3402)+E(f761(x3401,x3403,x3404),f761(x3402,x3403,x3404))
% 192.24/192.23 [341]~E(x3411,x3412)+E(f761(x3413,x3411,x3414),f761(x3413,x3412,x3414))
% 192.24/192.23 [342]~E(x3421,x3422)+E(f761(x3423,x3424,x3421),f761(x3423,x3424,x3422))
% 192.24/192.23 [343]~E(x3431,x3432)+E(f577(x3431,x3433,x3434),f577(x3432,x3433,x3434))
% 192.24/192.23 [344]~E(x3441,x3442)+E(f577(x3443,x3441,x3444),f577(x3443,x3442,x3444))
% 192.24/192.23 [345]~E(x3451,x3452)+E(f577(x3453,x3454,x3451),f577(x3453,x3454,x3452))
% 192.24/192.23 [346]~E(x3461,x3462)+E(f856(x3461,x3463,x3464),f856(x3462,x3463,x3464))
% 192.24/192.23 [347]~E(x3471,x3472)+E(f856(x3473,x3471,x3474),f856(x3473,x3472,x3474))
% 192.24/192.23 [348]~E(x3481,x3482)+E(f856(x3483,x3484,x3481),f856(x3483,x3484,x3482))
% 192.24/192.23 [349]~E(x3491,x3492)+E(f14(x3491,x3493),f14(x3492,x3493))
% 192.24/192.23 [350]~E(x3501,x3502)+E(f14(x3503,x3501),f14(x3503,x3502))
% 192.24/192.23 [351]~E(x3511,x3512)+E(f360(x3511,x3513),f360(x3512,x3513))
% 192.24/192.23 [352]~E(x3521,x3522)+E(f360(x3523,x3521),f360(x3523,x3522))
% 192.24/192.23 [353]~E(x3531,x3532)+E(f667(x3531,x3533,x3534,x3535),f667(x3532,x3533,x3534,x3535))
% 192.24/192.23 [354]~E(x3541,x3542)+E(f667(x3543,x3541,x3544,x3545),f667(x3543,x3542,x3544,x3545))
% 192.24/192.23 [355]~E(x3551,x3552)+E(f667(x3553,x3554,x3551,x3555),f667(x3553,x3554,x3552,x3555))
% 192.24/192.23 [356]~E(x3561,x3562)+E(f667(x3563,x3564,x3565,x3561),f667(x3563,x3564,x3565,x3562))
% 192.24/192.23 [357]~E(x3571,x3572)+E(f289(x3571,x3573),f289(x3572,x3573))
% 192.24/192.23 [358]~E(x3581,x3582)+E(f289(x3583,x3581),f289(x3583,x3582))
% 192.24/192.23 [359]~E(x3591,x3592)+E(f164(x3591,x3593),f164(x3592,x3593))
% 192.24/192.23 [360]~E(x3601,x3602)+E(f164(x3603,x3601),f164(x3603,x3602))
% 192.24/192.23 [361]~E(x3611,x3612)+E(f605(x3611,x3613,x3614,x3615,x3616),f605(x3612,x3613,x3614,x3615,x3616))
% 192.24/192.23 [362]~E(x3621,x3622)+E(f605(x3623,x3621,x3624,x3625,x3626),f605(x3623,x3622,x3624,x3625,x3626))
% 192.24/192.23 [363]~E(x3631,x3632)+E(f605(x3633,x3634,x3631,x3635,x3636),f605(x3633,x3634,x3632,x3635,x3636))
% 192.24/192.23 [364]~E(x3641,x3642)+E(f605(x3643,x3644,x3645,x3641,x3646),f605(x3643,x3644,x3645,x3642,x3646))
% 192.24/192.23 [365]~E(x3651,x3652)+E(f605(x3653,x3654,x3655,x3656,x3651),f605(x3653,x3654,x3655,x3656,x3652))
% 192.24/192.23 [366]~E(x3661,x3662)+E(f748(x3661,x3663),f748(x3662,x3663))
% 192.24/192.23 [367]~E(x3671,x3672)+E(f748(x3673,x3671),f748(x3673,x3672))
% 192.24/192.23 [368]~E(x3681,x3682)+E(f571(x3681,x3683,x3684),f571(x3682,x3683,x3684))
% 192.24/192.23 [369]~E(x3691,x3692)+E(f571(x3693,x3691,x3694),f571(x3693,x3692,x3694))
% 192.24/192.23 [370]~E(x3701,x3702)+E(f571(x3703,x3704,x3701),f571(x3703,x3704,x3702))
% 192.24/192.23 [371]~E(x3711,x3712)+E(f259(x3711,x3713),f259(x3712,x3713))
% 192.24/192.23 [372]~E(x3721,x3722)+E(f259(x3723,x3721),f259(x3723,x3722))
% 192.24/192.23 [373]~E(x3731,x3732)+E(f286(x3731),f286(x3732))
% 192.24/192.23 [374]~E(x3741,x3742)+E(f741(x3741,x3743,x3744),f741(x3742,x3743,x3744))
% 192.24/192.23 [375]~E(x3751,x3752)+E(f741(x3753,x3751,x3754),f741(x3753,x3752,x3754))
% 192.24/192.23 [376]~E(x3761,x3762)+E(f741(x3763,x3764,x3761),f741(x3763,x3764,x3762))
% 192.24/192.23 [377]~E(x3771,x3772)+E(f92(x3771,x3773),f92(x3772,x3773))
% 192.24/192.23 [378]~E(x3781,x3782)+E(f92(x3783,x3781),f92(x3783,x3782))
% 192.24/192.23 [379]~E(x3791,x3792)+E(f181(x3791,x3793),f181(x3792,x3793))
% 192.24/192.23 [380]~E(x3801,x3802)+E(f181(x3803,x3801),f181(x3803,x3802))
% 192.24/192.23 [381]~E(x3811,x3812)+E(f264(x3811,x3813,x3814,x3815),f264(x3812,x3813,x3814,x3815))
% 192.24/192.23 [382]~E(x3821,x3822)+E(f264(x3823,x3821,x3824,x3825),f264(x3823,x3822,x3824,x3825))
% 192.24/192.23 [383]~E(x3831,x3832)+E(f264(x3833,x3834,x3831,x3835),f264(x3833,x3834,x3832,x3835))
% 192.24/192.23 [384]~E(x3841,x3842)+E(f264(x3843,x3844,x3845,x3841),f264(x3843,x3844,x3845,x3842))
% 192.24/192.23 [385]~E(x3851,x3852)+E(f268(x3851,x3853),f268(x3852,x3853))
% 192.24/192.23 [386]~E(x3861,x3862)+E(f268(x3863,x3861),f268(x3863,x3862))
% 192.24/192.23 [387]~E(x3871,x3872)+E(f333(x3871,x3873,x3874,x3875),f333(x3872,x3873,x3874,x3875))
% 192.24/192.23 [388]~E(x3881,x3882)+E(f333(x3883,x3881,x3884,x3885),f333(x3883,x3882,x3884,x3885))
% 192.24/192.23 [389]~E(x3891,x3892)+E(f333(x3893,x3894,x3891,x3895),f333(x3893,x3894,x3892,x3895))
% 192.24/192.23 [390]~E(x3901,x3902)+E(f333(x3903,x3904,x3905,x3901),f333(x3903,x3904,x3905,x3902))
% 192.24/192.23 [391]~E(x3911,x3912)+E(f848(x3911,x3913,x3914),f848(x3912,x3913,x3914))
% 192.24/192.23 [392]~E(x3921,x3922)+E(f848(x3923,x3921,x3924),f848(x3923,x3922,x3924))
% 192.24/192.23 [393]~E(x3931,x3932)+E(f848(x3933,x3934,x3931),f848(x3933,x3934,x3932))
% 192.24/192.23 [394]~E(x3941,x3942)+E(f135(x3941,x3943),f135(x3942,x3943))
% 192.24/192.23 [395]~E(x3951,x3952)+E(f135(x3953,x3951),f135(x3953,x3952))
% 192.24/192.23 [396]~E(x3961,x3962)+E(f79(x3961,x3963,x3964,x3965),f79(x3962,x3963,x3964,x3965))
% 192.24/192.23 [397]~E(x3971,x3972)+E(f79(x3973,x3971,x3974,x3975),f79(x3973,x3972,x3974,x3975))
% 192.24/192.23 [398]~E(x3981,x3982)+E(f79(x3983,x3984,x3981,x3985),f79(x3983,x3984,x3982,x3985))
% 192.24/192.23 [399]~E(x3991,x3992)+E(f79(x3993,x3994,x3995,x3991),f79(x3993,x3994,x3995,x3992))
% 192.24/192.23 [400]~E(x4001,x4002)+E(f622(x4001,x4003,x4004,x4005,x4006),f622(x4002,x4003,x4004,x4005,x4006))
% 192.24/192.23 [401]~E(x4011,x4012)+E(f622(x4013,x4011,x4014,x4015,x4016),f622(x4013,x4012,x4014,x4015,x4016))
% 192.24/192.23 [402]~E(x4021,x4022)+E(f622(x4023,x4024,x4021,x4025,x4026),f622(x4023,x4024,x4022,x4025,x4026))
% 192.24/192.23 [403]~E(x4031,x4032)+E(f622(x4033,x4034,x4035,x4031,x4036),f622(x4033,x4034,x4035,x4032,x4036))
% 192.24/192.23 [404]~E(x4041,x4042)+E(f622(x4043,x4044,x4045,x4046,x4041),f622(x4043,x4044,x4045,x4046,x4042))
% 192.24/192.23 [405]~E(x4051,x4052)+E(f476(x4051,x4053,x4054),f476(x4052,x4053,x4054))
% 192.24/192.23 [406]~E(x4061,x4062)+E(f476(x4063,x4061,x4064),f476(x4063,x4062,x4064))
% 192.24/192.23 [407]~E(x4071,x4072)+E(f476(x4073,x4074,x4071),f476(x4073,x4074,x4072))
% 192.24/192.23 [408]~E(x4081,x4082)+E(f60(x4081,x4083,x4084,x4085),f60(x4082,x4083,x4084,x4085))
% 192.24/192.23 [409]~E(x4091,x4092)+E(f60(x4093,x4091,x4094,x4095),f60(x4093,x4092,x4094,x4095))
% 192.24/192.23 [410]~E(x4101,x4102)+E(f60(x4103,x4104,x4101,x4105),f60(x4103,x4104,x4102,x4105))
% 192.24/192.23 [411]~E(x4111,x4112)+E(f60(x4113,x4114,x4115,x4111),f60(x4113,x4114,x4115,x4112))
% 192.24/192.23 [412]~E(x4121,x4122)+E(f574(x4121,x4123,x4124),f574(x4122,x4123,x4124))
% 192.24/192.23 [413]~E(x4131,x4132)+E(f574(x4133,x4131,x4134),f574(x4133,x4132,x4134))
% 192.24/192.23 [414]~E(x4141,x4142)+E(f574(x4143,x4144,x4141),f574(x4143,x4144,x4142))
% 192.24/192.23 [415]~E(x4151,x4152)+E(f252(x4151,x4153,x4154),f252(x4152,x4153,x4154))
% 192.24/192.23 [416]~E(x4161,x4162)+E(f252(x4163,x4161,x4164),f252(x4163,x4162,x4164))
% 192.24/192.23 [417]~E(x4171,x4172)+E(f252(x4173,x4174,x4171),f252(x4173,x4174,x4172))
% 192.24/192.23 [418]~E(x4181,x4182)+E(f739(x4181,x4183),f739(x4182,x4183))
% 192.24/192.23 [419]~E(x4191,x4192)+E(f739(x4193,x4191),f739(x4193,x4192))
% 192.24/192.23 [420]~E(x4201,x4202)+E(f124(x4201),f124(x4202))
% 192.24/192.23 [421]~E(x4211,x4212)+E(f151(x4211,x4213,x4214),f151(x4212,x4213,x4214))
% 192.24/192.23 [422]~E(x4221,x4222)+E(f151(x4223,x4221,x4224),f151(x4223,x4222,x4224))
% 192.24/192.23 [423]~E(x4231,x4232)+E(f151(x4233,x4234,x4231),f151(x4233,x4234,x4232))
% 192.24/192.23 [424]~E(x4241,x4242)+E(f100(x4241,x4243),f100(x4242,x4243))
% 192.24/192.23 [425]~E(x4251,x4252)+E(f100(x4253,x4251),f100(x4253,x4252))
% 192.24/192.23 [426]~E(x4261,x4262)+E(f179(x4261,x4263,x4264),f179(x4262,x4263,x4264))
% 192.24/192.23 [427]~E(x4271,x4272)+E(f179(x4273,x4271,x4274),f179(x4273,x4272,x4274))
% 192.24/192.23 [428]~E(x4281,x4282)+E(f179(x4283,x4284,x4281),f179(x4283,x4284,x4282))
% 192.24/192.23 [429]~E(x4291,x4292)+E(f308(x4291,x4293,x4294),f308(x4292,x4293,x4294))
% 192.24/192.23 [430]~E(x4301,x4302)+E(f308(x4303,x4301,x4304),f308(x4303,x4302,x4304))
% 192.24/192.23 [431]~E(x4311,x4312)+E(f308(x4313,x4314,x4311),f308(x4313,x4314,x4312))
% 192.24/192.23 [432]~E(x4321,x4322)+E(f469(x4321,x4323,x4324),f469(x4322,x4323,x4324))
% 192.24/192.23 [433]~E(x4331,x4332)+E(f469(x4333,x4331,x4334),f469(x4333,x4332,x4334))
% 192.24/192.23 [434]~E(x4341,x4342)+E(f469(x4343,x4344,x4341),f469(x4343,x4344,x4342))
% 192.24/192.23 [435]~E(x4351,x4352)+E(f477(x4351,x4353,x4354),f477(x4352,x4353,x4354))
% 192.24/192.23 [436]~E(x4361,x4362)+E(f477(x4363,x4361,x4364),f477(x4363,x4362,x4364))
% 192.24/192.23 [437]~E(x4371,x4372)+E(f477(x4373,x4374,x4371),f477(x4373,x4374,x4372))
% 192.24/192.23 [438]~E(x4381,x4382)+E(f182(x4381,x4383),f182(x4382,x4383))
% 192.24/192.23 [439]~E(x4391,x4392)+E(f182(x4393,x4391),f182(x4393,x4392))
% 192.24/192.23 [440]~E(x4401,x4402)+E(f861(x4401,x4403),f861(x4402,x4403))
% 192.24/192.23 [441]~E(x4411,x4412)+E(f861(x4413,x4411),f861(x4413,x4412))
% 192.24/192.23 [442]~E(x4421,x4422)+E(f11(x4421,x4423,x4424),f11(x4422,x4423,x4424))
% 192.24/192.23 [443]~E(x4431,x4432)+E(f11(x4433,x4431,x4434),f11(x4433,x4432,x4434))
% 192.24/192.23 [444]~E(x4441,x4442)+E(f11(x4443,x4444,x4441),f11(x4443,x4444,x4442))
% 192.24/192.23 [445]~E(x4451,x4452)+E(f662(x4451,x4453),f662(x4452,x4453))
% 192.24/192.23 [446]~E(x4461,x4462)+E(f662(x4463,x4461),f662(x4463,x4462))
% 192.24/192.23 [447]~E(x4471,x4472)+E(f114(x4471),f114(x4472))
% 192.24/192.23 [448]~E(x4481,x4482)+E(f534(x4481,x4483,x4484,x4485),f534(x4482,x4483,x4484,x4485))
% 192.24/192.23 [449]~E(x4491,x4492)+E(f534(x4493,x4491,x4494,x4495),f534(x4493,x4492,x4494,x4495))
% 192.24/192.23 [450]~E(x4501,x4502)+E(f534(x4503,x4504,x4501,x4505),f534(x4503,x4504,x4502,x4505))
% 192.24/192.23 [451]~E(x4511,x4512)+E(f534(x4513,x4514,x4515,x4511),f534(x4513,x4514,x4515,x4512))
% 192.24/192.23 [452]~E(x4521,x4522)+E(f679(x4521,x4523,x4524,x4525,x4526),f679(x4522,x4523,x4524,x4525,x4526))
% 192.24/192.23 [453]~E(x4531,x4532)+E(f679(x4533,x4531,x4534,x4535,x4536),f679(x4533,x4532,x4534,x4535,x4536))
% 192.24/192.23 [454]~E(x4541,x4542)+E(f679(x4543,x4544,x4541,x4545,x4546),f679(x4543,x4544,x4542,x4545,x4546))
% 192.24/192.23 [455]~E(x4551,x4552)+E(f679(x4553,x4554,x4555,x4551,x4556),f679(x4553,x4554,x4555,x4552,x4556))
% 192.24/192.23 [456]~E(x4561,x4562)+E(f679(x4563,x4564,x4565,x4566,x4561),f679(x4563,x4564,x4565,x4566,x4562))
% 192.24/192.23 [457]~E(x4571,x4572)+E(f313(x4571,x4573,x4574),f313(x4572,x4573,x4574))
% 192.24/192.23 [458]~E(x4581,x4582)+E(f313(x4583,x4581,x4584),f313(x4583,x4582,x4584))
% 192.24/192.23 [459]~E(x4591,x4592)+E(f313(x4593,x4594,x4591),f313(x4593,x4594,x4592))
% 192.24/192.23 [460]~E(x4601,x4602)+E(f696(x4601,x4603,x4604),f696(x4602,x4603,x4604))
% 192.24/192.23 [461]~E(x4611,x4612)+E(f696(x4613,x4611,x4614),f696(x4613,x4612,x4614))
% 192.24/192.23 [462]~E(x4621,x4622)+E(f696(x4623,x4624,x4621),f696(x4623,x4624,x4622))
% 192.24/192.23 [463]~E(x4631,x4632)+E(f901(x4631,x4633,x4634,x4635),f901(x4632,x4633,x4634,x4635))
% 192.24/192.23 [464]~E(x4641,x4642)+E(f901(x4643,x4641,x4644,x4645),f901(x4643,x4642,x4644,x4645))
% 192.24/192.23 [465]~E(x4651,x4652)+E(f901(x4653,x4654,x4651,x4655),f901(x4653,x4654,x4652,x4655))
% 192.24/192.23 [466]~E(x4661,x4662)+E(f901(x4663,x4664,x4665,x4661),f901(x4663,x4664,x4665,x4662))
% 192.24/192.23 [467]~E(x4671,x4672)+E(f697(x4671,x4673,x4674,x4675),f697(x4672,x4673,x4674,x4675))
% 192.24/192.23 [468]~E(x4681,x4682)+E(f697(x4683,x4681,x4684,x4685),f697(x4683,x4682,x4684,x4685))
% 192.24/192.23 [469]~E(x4691,x4692)+E(f697(x4693,x4694,x4691,x4695),f697(x4693,x4694,x4692,x4695))
% 192.24/192.23 [470]~E(x4701,x4702)+E(f697(x4703,x4704,x4705,x4701),f697(x4703,x4704,x4705,x4702))
% 192.24/192.23 [471]~E(x4711,x4712)+E(f315(x4711,x4713,x4714,x4715),f315(x4712,x4713,x4714,x4715))
% 192.24/192.23 [472]~E(x4721,x4722)+E(f315(x4723,x4721,x4724,x4725),f315(x4723,x4722,x4724,x4725))
% 192.24/192.23 [473]~E(x4731,x4732)+E(f315(x4733,x4734,x4731,x4735),f315(x4733,x4734,x4732,x4735))
% 192.24/192.23 [474]~E(x4741,x4742)+E(f315(x4743,x4744,x4745,x4741),f315(x4743,x4744,x4745,x4742))
% 192.24/192.23 [475]~E(x4751,x4752)+E(f758(x4751,x4753,x4754,x4755),f758(x4752,x4753,x4754,x4755))
% 192.24/192.23 [476]~E(x4761,x4762)+E(f758(x4763,x4761,x4764,x4765),f758(x4763,x4762,x4764,x4765))
% 192.24/192.23 [477]~E(x4771,x4772)+E(f758(x4773,x4774,x4771,x4775),f758(x4773,x4774,x4772,x4775))
% 192.24/192.23 [478]~E(x4781,x4782)+E(f758(x4783,x4784,x4785,x4781),f758(x4783,x4784,x4785,x4782))
% 192.24/192.23 [479]~E(x4791,x4792)+E(f387(x4791,x4793,x4794,x4795),f387(x4792,x4793,x4794,x4795))
% 192.24/192.23 [480]~E(x4801,x4802)+E(f387(x4803,x4801,x4804,x4805),f387(x4803,x4802,x4804,x4805))
% 192.24/192.23 [481]~E(x4811,x4812)+E(f387(x4813,x4814,x4811,x4815),f387(x4813,x4814,x4812,x4815))
% 192.24/192.23 [482]~E(x4821,x4822)+E(f387(x4823,x4824,x4825,x4821),f387(x4823,x4824,x4825,x4822))
% 192.24/192.23 [483]~E(x4831,x4832)+E(f263(x4831,x4833,x4834,x4835,x4836,x4837),f263(x4832,x4833,x4834,x4835,x4836,x4837))
% 192.24/192.23 [484]~E(x4841,x4842)+E(f263(x4843,x4841,x4844,x4845,x4846,x4847),f263(x4843,x4842,x4844,x4845,x4846,x4847))
% 192.24/192.23 [485]~E(x4851,x4852)+E(f263(x4853,x4854,x4851,x4855,x4856,x4857),f263(x4853,x4854,x4852,x4855,x4856,x4857))
% 192.24/192.23 [486]~E(x4861,x4862)+E(f263(x4863,x4864,x4865,x4861,x4866,x4867),f263(x4863,x4864,x4865,x4862,x4866,x4867))
% 192.24/192.23 [487]~E(x4871,x4872)+E(f263(x4873,x4874,x4875,x4876,x4871,x4877),f263(x4873,x4874,x4875,x4876,x4872,x4877))
% 192.24/192.23 [488]~E(x4881,x4882)+E(f263(x4883,x4884,x4885,x4886,x4887,x4881),f263(x4883,x4884,x4885,x4886,x4887,x4882))
% 192.24/192.23 [489]~E(x4891,x4892)+E(f316(x4891),f316(x4892))
% 192.24/192.23 [490]~E(x4901,x4902)+E(f830(x4901,x4903),f830(x4902,x4903))
% 192.24/192.23 [491]~E(x4911,x4912)+E(f830(x4913,x4911),f830(x4913,x4912))
% 192.24/192.23 [492]~E(x4921,x4922)+E(f628(x4921,x4923,x4924,x4925,x4926,x4927,x4928),f628(x4922,x4923,x4924,x4925,x4926,x4927,x4928))
% 192.24/192.23 [493]~E(x4931,x4932)+E(f628(x4933,x4931,x4934,x4935,x4936,x4937,x4938),f628(x4933,x4932,x4934,x4935,x4936,x4937,x4938))
% 192.24/192.23 [494]~E(x4941,x4942)+E(f628(x4943,x4944,x4941,x4945,x4946,x4947,x4948),f628(x4943,x4944,x4942,x4945,x4946,x4947,x4948))
% 192.24/192.23 [495]~E(x4951,x4952)+E(f628(x4953,x4954,x4955,x4951,x4956,x4957,x4958),f628(x4953,x4954,x4955,x4952,x4956,x4957,x4958))
% 192.24/192.23 [496]~E(x4961,x4962)+E(f628(x4963,x4964,x4965,x4966,x4961,x4967,x4968),f628(x4963,x4964,x4965,x4966,x4962,x4967,x4968))
% 192.24/192.23 [497]~E(x4971,x4972)+E(f628(x4973,x4974,x4975,x4976,x4977,x4971,x4978),f628(x4973,x4974,x4975,x4976,x4977,x4972,x4978))
% 192.24/192.23 [498]~E(x4981,x4982)+E(f628(x4983,x4984,x4985,x4986,x4987,x4988,x4981),f628(x4983,x4984,x4985,x4986,x4987,x4988,x4982))
% 192.24/192.23 [499]~E(x4991,x4992)+E(f13(x4991,x4993),f13(x4992,x4993))
% 192.24/192.23 [500]~E(x5001,x5002)+E(f13(x5003,x5001),f13(x5003,x5002))
% 192.24/192.23 [501]~E(x5011,x5012)+E(f685(x5011,x5013,x5014,x5015),f685(x5012,x5013,x5014,x5015))
% 192.24/192.23 [502]~E(x5021,x5022)+E(f685(x5023,x5021,x5024,x5025),f685(x5023,x5022,x5024,x5025))
% 192.24/192.23 [503]~E(x5031,x5032)+E(f685(x5033,x5034,x5031,x5035),f685(x5033,x5034,x5032,x5035))
% 192.24/192.23 [504]~E(x5041,x5042)+E(f685(x5043,x5044,x5045,x5041),f685(x5043,x5044,x5045,x5042))
% 192.24/192.23 [505]~E(x5051,x5052)+E(f285(x5051),f285(x5052))
% 192.24/192.23 [506]~E(x5061,x5062)+E(f682(x5061,x5063,x5064),f682(x5062,x5063,x5064))
% 192.24/192.23 [507]~E(x5071,x5072)+E(f682(x5073,x5071,x5074),f682(x5073,x5072,x5074))
% 192.24/192.23 [508]~E(x5081,x5082)+E(f682(x5083,x5084,x5081),f682(x5083,x5084,x5082))
% 192.24/192.23 [509]~E(x5091,x5092)+E(f490(x5091,x5093,x5094),f490(x5092,x5093,x5094))
% 192.24/192.23 [510]~E(x5101,x5102)+E(f490(x5103,x5101,x5104),f490(x5103,x5102,x5104))
% 192.24/192.23 [511]~E(x5111,x5112)+E(f490(x5113,x5114,x5111),f490(x5113,x5114,x5112))
% 192.24/192.23 [512]~E(x5121,x5122)+E(f323(x5121,x5123,x5124),f323(x5122,x5123,x5124))
% 192.24/192.23 [513]~E(x5131,x5132)+E(f323(x5133,x5131,x5134),f323(x5133,x5132,x5134))
% 192.24/192.23 [514]~E(x5141,x5142)+E(f323(x5143,x5144,x5141),f323(x5143,x5144,x5142))
% 192.24/192.23 [515]~E(x5151,x5152)+E(f849(x5151,x5153,x5154),f849(x5152,x5153,x5154))
% 192.24/192.23 [516]~E(x5161,x5162)+E(f849(x5163,x5161,x5164),f849(x5163,x5162,x5164))
% 192.24/192.23 [517]~E(x5171,x5172)+E(f849(x5173,x5174,x5171),f849(x5173,x5174,x5172))
% 192.24/192.23 [518]~E(x5181,x5182)+E(f306(x5181),f306(x5182))
% 192.24/192.23 [519]~E(x5191,x5192)+E(f144(x5191),f144(x5192))
% 192.24/192.23 [520]~E(x5201,x5202)+E(f565(x5201,x5203,x5204,x5205),f565(x5202,x5203,x5204,x5205))
% 192.24/192.23 [521]~E(x5211,x5212)+E(f565(x5213,x5211,x5214,x5215),f565(x5213,x5212,x5214,x5215))
% 192.24/192.23 [522]~E(x5221,x5222)+E(f565(x5223,x5224,x5221,x5225),f565(x5223,x5224,x5222,x5225))
% 192.24/192.23 [523]~E(x5231,x5232)+E(f565(x5233,x5234,x5235,x5231),f565(x5233,x5234,x5235,x5232))
% 192.24/192.23 [524]~E(x5241,x5242)+E(f287(x5241,x5243),f287(x5242,x5243))
% 192.24/192.23 [525]~E(x5251,x5252)+E(f287(x5253,x5251),f287(x5253,x5252))
% 192.24/192.23 [526]~E(x5261,x5262)+E(f879(x5261,x5263,x5264),f879(x5262,x5263,x5264))
% 192.24/192.23 [527]~E(x5271,x5272)+E(f879(x5273,x5271,x5274),f879(x5273,x5272,x5274))
% 192.24/192.23 [528]~E(x5281,x5282)+E(f879(x5283,x5284,x5281),f879(x5283,x5284,x5282))
% 192.24/192.23 [529]~E(x5291,x5292)+E(f651(x5291,x5293,x5294,x5295),f651(x5292,x5293,x5294,x5295))
% 192.24/192.23 [530]~E(x5301,x5302)+E(f651(x5303,x5301,x5304,x5305),f651(x5303,x5302,x5304,x5305))
% 192.24/192.23 [531]~E(x5311,x5312)+E(f651(x5313,x5314,x5311,x5315),f651(x5313,x5314,x5312,x5315))
% 192.24/192.23 [532]~E(x5321,x5322)+E(f651(x5323,x5324,x5325,x5321),f651(x5323,x5324,x5325,x5322))
% 192.24/192.23 [533]~E(x5331,x5332)+E(f671(x5331,x5333,x5334,x5335,x5336,x5337),f671(x5332,x5333,x5334,x5335,x5336,x5337))
% 192.24/192.23 [534]~E(x5341,x5342)+E(f671(x5343,x5341,x5344,x5345,x5346,x5347),f671(x5343,x5342,x5344,x5345,x5346,x5347))
% 192.24/192.23 [535]~E(x5351,x5352)+E(f671(x5353,x5354,x5351,x5355,x5356,x5357),f671(x5353,x5354,x5352,x5355,x5356,x5357))
% 192.24/192.23 [536]~E(x5361,x5362)+E(f671(x5363,x5364,x5365,x5361,x5366,x5367),f671(x5363,x5364,x5365,x5362,x5366,x5367))
% 192.24/192.23 [537]~E(x5371,x5372)+E(f671(x5373,x5374,x5375,x5376,x5371,x5377),f671(x5373,x5374,x5375,x5376,x5372,x5377))
% 192.24/192.23 [538]~E(x5381,x5382)+E(f671(x5383,x5384,x5385,x5386,x5387,x5381),f671(x5383,x5384,x5385,x5386,x5387,x5382))
% 192.24/192.23 [539]~E(x5391,x5392)+E(f88(x5391,x5393),f88(x5392,x5393))
% 192.24/192.23 [540]~E(x5401,x5402)+E(f88(x5403,x5401),f88(x5403,x5402))
% 192.24/192.23 [541]~E(x5411,x5412)+E(f377(x5411,x5413,x5414,x5415),f377(x5412,x5413,x5414,x5415))
% 192.24/192.23 [542]~E(x5421,x5422)+E(f377(x5423,x5421,x5424,x5425),f377(x5423,x5422,x5424,x5425))
% 192.24/192.23 [543]~E(x5431,x5432)+E(f377(x5433,x5434,x5431,x5435),f377(x5433,x5434,x5432,x5435))
% 192.24/192.23 [544]~E(x5441,x5442)+E(f377(x5443,x5444,x5445,x5441),f377(x5443,x5444,x5445,x5442))
% 192.24/192.23 [545]~E(x5451,x5452)+E(f68(x5451,x5453,x5454),f68(x5452,x5453,x5454))
% 192.24/192.23 [546]~E(x5461,x5462)+E(f68(x5463,x5461,x5464),f68(x5463,x5462,x5464))
% 192.24/192.23 [547]~E(x5471,x5472)+E(f68(x5473,x5474,x5471),f68(x5473,x5474,x5472))
% 192.24/192.23 [548]~E(x5481,x5482)+E(f670(x5481,x5483,x5484,x5485,x5486,x5487),f670(x5482,x5483,x5484,x5485,x5486,x5487))
% 192.24/192.23 [549]~E(x5491,x5492)+E(f670(x5493,x5491,x5494,x5495,x5496,x5497),f670(x5493,x5492,x5494,x5495,x5496,x5497))
% 192.24/192.23 [550]~E(x5501,x5502)+E(f670(x5503,x5504,x5501,x5505,x5506,x5507),f670(x5503,x5504,x5502,x5505,x5506,x5507))
% 192.24/192.23 [551]~E(x5511,x5512)+E(f670(x5513,x5514,x5515,x5511,x5516,x5517),f670(x5513,x5514,x5515,x5512,x5516,x5517))
% 192.24/192.23 [552]~E(x5521,x5522)+E(f670(x5523,x5524,x5525,x5526,x5521,x5527),f670(x5523,x5524,x5525,x5526,x5522,x5527))
% 192.24/192.23 [553]~E(x5531,x5532)+E(f670(x5533,x5534,x5535,x5536,x5537,x5531),f670(x5533,x5534,x5535,x5536,x5537,x5532))
% 192.24/192.23 [554]~E(x5541,x5542)+E(f717(x5541,x5543,x5544,x5545,x5546),f717(x5542,x5543,x5544,x5545,x5546))
% 192.24/192.23 [555]~E(x5551,x5552)+E(f717(x5553,x5551,x5554,x5555,x5556),f717(x5553,x5552,x5554,x5555,x5556))
% 192.24/192.23 [556]~E(x5561,x5562)+E(f717(x5563,x5564,x5561,x5565,x5566),f717(x5563,x5564,x5562,x5565,x5566))
% 192.24/192.23 [557]~E(x5571,x5572)+E(f717(x5573,x5574,x5575,x5571,x5576),f717(x5573,x5574,x5575,x5572,x5576))
% 192.24/192.23 [558]~E(x5581,x5582)+E(f717(x5583,x5584,x5585,x5586,x5581),f717(x5583,x5584,x5585,x5586,x5582))
% 192.24/192.23 [559]~E(x5591,x5592)+E(f853(x5591,x5593,x5594),f853(x5592,x5593,x5594))
% 192.24/192.23 [560]~E(x5601,x5602)+E(f853(x5603,x5601,x5604),f853(x5603,x5602,x5604))
% 192.24/192.23 [561]~E(x5611,x5612)+E(f853(x5613,x5614,x5611),f853(x5613,x5614,x5612))
% 192.24/192.23 [562]~E(x5621,x5622)+E(f433(x5621,x5623,x5624,x5625),f433(x5622,x5623,x5624,x5625))
% 192.24/192.23 [563]~E(x5631,x5632)+E(f433(x5633,x5631,x5634,x5635),f433(x5633,x5632,x5634,x5635))
% 192.24/192.23 [564]~E(x5641,x5642)+E(f433(x5643,x5644,x5641,x5645),f433(x5643,x5644,x5642,x5645))
% 192.24/192.23 [565]~E(x5651,x5652)+E(f433(x5653,x5654,x5655,x5651),f433(x5653,x5654,x5655,x5652))
% 192.24/192.23 [566]~E(x5661,x5662)+E(f422(x5661,x5663,x5664),f422(x5662,x5663,x5664))
% 192.24/192.23 [567]~E(x5671,x5672)+E(f422(x5673,x5671,x5674),f422(x5673,x5672,x5674))
% 192.24/192.23 [568]~E(x5681,x5682)+E(f422(x5683,x5684,x5681),f422(x5683,x5684,x5682))
% 192.24/192.23 [569]~E(x5691,x5692)+E(f453(x5691,x5693,x5694),f453(x5692,x5693,x5694))
% 192.24/192.23 [570]~E(x5701,x5702)+E(f453(x5703,x5701,x5704),f453(x5703,x5702,x5704))
% 192.24/192.23 [571]~E(x5711,x5712)+E(f453(x5713,x5714,x5711),f453(x5713,x5714,x5712))
% 192.24/192.23 [572]~E(x5721,x5722)+E(f570(x5721,x5723,x5724),f570(x5722,x5723,x5724))
% 192.24/192.23 [573]~E(x5731,x5732)+E(f570(x5733,x5731,x5734),f570(x5733,x5732,x5734))
% 192.24/192.23 [574]~E(x5741,x5742)+E(f570(x5743,x5744,x5741),f570(x5743,x5744,x5742))
% 192.24/192.23 [575]~E(x5751,x5752)+E(f750(x5751,x5753),f750(x5752,x5753))
% 192.24/192.23 [576]~E(x5761,x5762)+E(f750(x5763,x5761),f750(x5763,x5762))
% 192.24/192.23 [577]~E(x5771,x5772)+E(f129(x5771,x5773),f129(x5772,x5773))
% 192.24/192.23 [578]~E(x5781,x5782)+E(f129(x5783,x5781),f129(x5783,x5782))
% 192.24/192.23 [579]~E(x5791,x5792)+E(f838(x5791,x5793,x5794,x5795,x5796),f838(x5792,x5793,x5794,x5795,x5796))
% 192.24/192.23 [580]~E(x5801,x5802)+E(f838(x5803,x5801,x5804,x5805,x5806),f838(x5803,x5802,x5804,x5805,x5806))
% 192.24/192.23 [581]~E(x5811,x5812)+E(f838(x5813,x5814,x5811,x5815,x5816),f838(x5813,x5814,x5812,x5815,x5816))
% 192.24/192.23 [582]~E(x5821,x5822)+E(f838(x5823,x5824,x5825,x5821,x5826),f838(x5823,x5824,x5825,x5822,x5826))
% 192.24/192.23 [583]~E(x5831,x5832)+E(f838(x5833,x5834,x5835,x5836,x5831),f838(x5833,x5834,x5835,x5836,x5832))
% 192.24/192.23 [584]~E(x5841,x5842)+E(f176(x5841,x5843,x5844),f176(x5842,x5843,x5844))
% 192.24/192.23 [585]~E(x5851,x5852)+E(f176(x5853,x5851,x5854),f176(x5853,x5852,x5854))
% 192.24/192.23 [586]~E(x5861,x5862)+E(f176(x5863,x5864,x5861),f176(x5863,x5864,x5862))
% 192.24/192.23 [587]~E(x5871,x5872)+E(f668(x5871,x5873,x5874,x5875,x5876,x5877),f668(x5872,x5873,x5874,x5875,x5876,x5877))
% 192.24/192.23 [588]~E(x5881,x5882)+E(f668(x5883,x5881,x5884,x5885,x5886,x5887),f668(x5883,x5882,x5884,x5885,x5886,x5887))
% 192.24/192.23 [589]~E(x5891,x5892)+E(f668(x5893,x5894,x5891,x5895,x5896,x5897),f668(x5893,x5894,x5892,x5895,x5896,x5897))
% 192.24/192.23 [590]~E(x5901,x5902)+E(f668(x5903,x5904,x5905,x5901,x5906,x5907),f668(x5903,x5904,x5905,x5902,x5906,x5907))
% 192.24/192.23 [591]~E(x5911,x5912)+E(f668(x5913,x5914,x5915,x5916,x5911,x5917),f668(x5913,x5914,x5915,x5916,x5912,x5917))
% 192.24/192.23 [592]~E(x5921,x5922)+E(f668(x5923,x5924,x5925,x5926,x5927,x5921),f668(x5923,x5924,x5925,x5926,x5927,x5922))
% 192.24/192.23 [593]~E(x5931,x5932)+E(f424(x5931,x5933,x5934),f424(x5932,x5933,x5934))
% 192.24/192.23 [594]~E(x5941,x5942)+E(f424(x5943,x5941,x5944),f424(x5943,x5942,x5944))
% 192.24/192.23 [595]~E(x5951,x5952)+E(f424(x5953,x5954,x5951),f424(x5953,x5954,x5952))
% 192.24/192.23 [596]~E(x5961,x5962)+E(f49(x5961,x5963),f49(x5962,x5963))
% 192.24/192.23 [597]~E(x5971,x5972)+E(f49(x5973,x5971),f49(x5973,x5972))
% 192.24/192.23 [598]~E(x5981,x5982)+E(f799(x5981,x5983,x5984),f799(x5982,x5983,x5984))
% 192.24/192.23 [599]~E(x5991,x5992)+E(f799(x5993,x5991,x5994),f799(x5993,x5992,x5994))
% 192.24/192.23 [600]~E(x6001,x6002)+E(f799(x6003,x6004,x6001),f799(x6003,x6004,x6002))
% 192.24/192.23 [601]~E(x6011,x6012)+E(f789(x6011,x6013,x6014),f789(x6012,x6013,x6014))
% 192.24/192.23 [602]~E(x6021,x6022)+E(f789(x6023,x6021,x6024),f789(x6023,x6022,x6024))
% 192.24/192.23 [603]~E(x6031,x6032)+E(f789(x6033,x6034,x6031),f789(x6033,x6034,x6032))
% 192.24/192.23 [604]~E(x6041,x6042)+E(f877(x6041,x6043,x6044,x6045,x6046),f877(x6042,x6043,x6044,x6045,x6046))
% 192.24/192.23 [605]~E(x6051,x6052)+E(f877(x6053,x6051,x6054,x6055,x6056),f877(x6053,x6052,x6054,x6055,x6056))
% 192.24/192.23 [606]~E(x6061,x6062)+E(f877(x6063,x6064,x6061,x6065,x6066),f877(x6063,x6064,x6062,x6065,x6066))
% 192.24/192.23 [607]~E(x6071,x6072)+E(f877(x6073,x6074,x6075,x6071,x6076),f877(x6073,x6074,x6075,x6072,x6076))
% 192.24/192.23 [608]~E(x6081,x6082)+E(f877(x6083,x6084,x6085,x6086,x6081),f877(x6083,x6084,x6085,x6086,x6082))
% 192.24/192.23 [609]~E(x6091,x6092)+E(f876(x6091,x6093,x6094,x6095,x6096,x6097),f876(x6092,x6093,x6094,x6095,x6096,x6097))
% 192.24/192.23 [610]~E(x6101,x6102)+E(f876(x6103,x6101,x6104,x6105,x6106,x6107),f876(x6103,x6102,x6104,x6105,x6106,x6107))
% 192.24/192.23 [611]~E(x6111,x6112)+E(f876(x6113,x6114,x6111,x6115,x6116,x6117),f876(x6113,x6114,x6112,x6115,x6116,x6117))
% 192.24/192.23 [612]~E(x6121,x6122)+E(f876(x6123,x6124,x6125,x6121,x6126,x6127),f876(x6123,x6124,x6125,x6122,x6126,x6127))
% 192.24/192.23 [613]~E(x6131,x6132)+E(f876(x6133,x6134,x6135,x6136,x6131,x6137),f876(x6133,x6134,x6135,x6136,x6132,x6137))
% 192.24/192.23 [614]~E(x6141,x6142)+E(f876(x6143,x6144,x6145,x6146,x6147,x6141),f876(x6143,x6144,x6145,x6146,x6147,x6142))
% 192.24/192.23 [615]~E(x6151,x6152)+E(f42(x6151),f42(x6152))
% 192.24/192.23 [616]~E(x6161,x6162)+E(f590(x6161,x6163,x6164,x6165),f590(x6162,x6163,x6164,x6165))
% 192.24/192.23 [617]~E(x6171,x6172)+E(f590(x6173,x6171,x6174,x6175),f590(x6173,x6172,x6174,x6175))
% 192.24/192.23 [618]~E(x6181,x6182)+E(f590(x6183,x6184,x6181,x6185),f590(x6183,x6184,x6182,x6185))
% 192.24/192.23 [619]~E(x6191,x6192)+E(f590(x6193,x6194,x6195,x6191),f590(x6193,x6194,x6195,x6192))
% 192.24/192.23 [620]~E(x6201,x6202)+E(f596(x6201,x6203),f596(x6202,x6203))
% 192.24/192.23 [621]~E(x6211,x6212)+E(f596(x6213,x6211),f596(x6213,x6212))
% 192.24/192.23 [622]~E(x6221,x6222)+E(f564(x6221,x6223,x6224),f564(x6222,x6223,x6224))
% 192.24/192.23 [623]~E(x6231,x6232)+E(f564(x6233,x6231,x6234),f564(x6233,x6232,x6234))
% 192.24/192.23 [624]~E(x6241,x6242)+E(f564(x6243,x6244,x6241),f564(x6243,x6244,x6242))
% 192.24/192.23 [625]~E(x6251,x6252)+E(f481(x6251,x6253,x6254,x6255,x6256),f481(x6252,x6253,x6254,x6255,x6256))
% 192.24/192.23 [626]~E(x6261,x6262)+E(f481(x6263,x6261,x6264,x6265,x6266),f481(x6263,x6262,x6264,x6265,x6266))
% 192.24/192.23 [627]~E(x6271,x6272)+E(f481(x6273,x6274,x6271,x6275,x6276),f481(x6273,x6274,x6272,x6275,x6276))
% 192.24/192.23 [628]~E(x6281,x6282)+E(f481(x6283,x6284,x6285,x6281,x6286),f481(x6283,x6284,x6285,x6282,x6286))
% 192.24/192.23 [629]~E(x6291,x6292)+E(f481(x6293,x6294,x6295,x6296,x6291),f481(x6293,x6294,x6295,x6296,x6292))
% 192.24/192.23 [630]~E(x6301,x6302)+E(f232(x6301,x6303,x6304),f232(x6302,x6303,x6304))
% 192.24/192.23 [631]~E(x6311,x6312)+E(f232(x6313,x6311,x6314),f232(x6313,x6312,x6314))
% 192.24/192.23 [632]~E(x6321,x6322)+E(f232(x6323,x6324,x6321),f232(x6323,x6324,x6322))
% 192.24/192.23 [633]~E(x6331,x6332)+E(f672(x6331,x6333,x6334,x6335),f672(x6332,x6333,x6334,x6335))
% 192.24/192.23 [634]~E(x6341,x6342)+E(f672(x6343,x6341,x6344,x6345),f672(x6343,x6342,x6344,x6345))
% 192.24/192.23 [635]~E(x6351,x6352)+E(f672(x6353,x6354,x6351,x6355),f672(x6353,x6354,x6352,x6355))
% 192.24/192.23 [636]~E(x6361,x6362)+E(f672(x6363,x6364,x6365,x6361),f672(x6363,x6364,x6365,x6362))
% 192.24/192.23 [637]~E(x6371,x6372)+E(f610(x6371,x6373),f610(x6372,x6373))
% 192.24/192.23 [638]~E(x6381,x6382)+E(f610(x6383,x6381),f610(x6383,x6382))
% 192.24/192.23 [639]~E(x6391,x6392)+E(f347(x6391,x6393),f347(x6392,x6393))
% 192.24/192.23 [640]~E(x6401,x6402)+E(f347(x6403,x6401),f347(x6403,x6402))
% 192.24/192.23 [641]~E(x6411,x6412)+E(f724(x6411,x6413),f724(x6412,x6413))
% 192.24/192.23 [642]~E(x6421,x6422)+E(f724(x6423,x6421),f724(x6423,x6422))
% 192.24/192.23 [643]~E(x6431,x6432)+E(f847(x6431,x6433,x6434),f847(x6432,x6433,x6434))
% 192.24/192.23 [644]~E(x6441,x6442)+E(f847(x6443,x6441,x6444),f847(x6443,x6442,x6444))
% 192.24/192.23 [645]~E(x6451,x6452)+E(f847(x6453,x6454,x6451),f847(x6453,x6454,x6452))
% 192.24/192.23 [646]~E(x6461,x6462)+E(f868(x6461,x6463,x6464,x6465,x6466),f868(x6462,x6463,x6464,x6465,x6466))
% 192.24/192.23 [647]~E(x6471,x6472)+E(f868(x6473,x6471,x6474,x6475,x6476),f868(x6473,x6472,x6474,x6475,x6476))
% 192.24/192.23 [648]~E(x6481,x6482)+E(f868(x6483,x6484,x6481,x6485,x6486),f868(x6483,x6484,x6482,x6485,x6486))
% 192.24/192.23 [649]~E(x6491,x6492)+E(f868(x6493,x6494,x6495,x6491,x6496),f868(x6493,x6494,x6495,x6492,x6496))
% 192.24/192.23 [650]~E(x6501,x6502)+E(f868(x6503,x6504,x6505,x6506,x6501),f868(x6503,x6504,x6505,x6506,x6502))
% 192.24/192.23 [651]~E(x6511,x6512)+E(f28(x6511,x6513,x6514),f28(x6512,x6513,x6514))
% 192.24/192.23 [652]~E(x6521,x6522)+E(f28(x6523,x6521,x6524),f28(x6523,x6522,x6524))
% 192.24/192.23 [653]~E(x6531,x6532)+E(f28(x6533,x6534,x6531),f28(x6533,x6534,x6532))
% 192.24/192.23 [654]~E(x6541,x6542)+E(f754(x6541,x6543),f754(x6542,x6543))
% 192.24/192.23 [655]~E(x6551,x6552)+E(f754(x6553,x6551),f754(x6553,x6552))
% 192.24/192.23 [656]~E(x6561,x6562)+E(f692(x6561,x6563,x6564,x6565),f692(x6562,x6563,x6564,x6565))
% 192.24/192.23 [657]~E(x6571,x6572)+E(f692(x6573,x6571,x6574,x6575),f692(x6573,x6572,x6574,x6575))
% 192.24/192.23 [658]~E(x6581,x6582)+E(f692(x6583,x6584,x6581,x6585),f692(x6583,x6584,x6582,x6585))
% 192.24/192.23 [659]~E(x6591,x6592)+E(f692(x6593,x6594,x6595,x6591),f692(x6593,x6594,x6595,x6592))
% 192.24/192.23 [660]~E(x6601,x6602)+E(f470(x6601,x6603,x6604),f470(x6602,x6603,x6604))
% 192.24/192.23 [661]~E(x6611,x6612)+E(f470(x6613,x6611,x6614),f470(x6613,x6612,x6614))
% 192.24/192.23 [662]~E(x6621,x6622)+E(f470(x6623,x6624,x6621),f470(x6623,x6624,x6622))
% 192.24/192.23 [663]~E(x6631,x6632)+E(f187(x6631,x6633,x6634),f187(x6632,x6633,x6634))
% 192.24/192.23 [664]~E(x6641,x6642)+E(f187(x6643,x6641,x6644),f187(x6643,x6642,x6644))
% 192.24/192.23 [665]~E(x6651,x6652)+E(f187(x6653,x6654,x6651),f187(x6653,x6654,x6652))
% 192.24/192.23 [666]~E(x6661,x6662)+E(f592(x6661,x6663,x6664,x6665,x6666),f592(x6662,x6663,x6664,x6665,x6666))
% 192.24/192.23 [667]~E(x6671,x6672)+E(f592(x6673,x6671,x6674,x6675,x6676),f592(x6673,x6672,x6674,x6675,x6676))
% 192.24/192.23 [668]~E(x6681,x6682)+E(f592(x6683,x6684,x6681,x6685,x6686),f592(x6683,x6684,x6682,x6685,x6686))
% 192.24/192.23 [669]~E(x6691,x6692)+E(f592(x6693,x6694,x6695,x6691,x6696),f592(x6693,x6694,x6695,x6692,x6696))
% 192.24/192.23 [670]~E(x6701,x6702)+E(f592(x6703,x6704,x6705,x6706,x6701),f592(x6703,x6704,x6705,x6706,x6702))
% 192.24/192.23 [671]~E(x6711,x6712)+E(f76(x6711,x6713,x6714,x6715,x6716),f76(x6712,x6713,x6714,x6715,x6716))
% 192.24/192.23 [672]~E(x6721,x6722)+E(f76(x6723,x6721,x6724,x6725,x6726),f76(x6723,x6722,x6724,x6725,x6726))
% 192.24/192.23 [673]~E(x6731,x6732)+E(f76(x6733,x6734,x6731,x6735,x6736),f76(x6733,x6734,x6732,x6735,x6736))
% 192.24/192.23 [674]~E(x6741,x6742)+E(f76(x6743,x6744,x6745,x6741,x6746),f76(x6743,x6744,x6745,x6742,x6746))
% 192.24/192.23 [675]~E(x6751,x6752)+E(f76(x6753,x6754,x6755,x6756,x6751),f76(x6753,x6754,x6755,x6756,x6752))
% 192.24/192.23 [676]~E(x6761,x6762)+E(f318(x6761,x6763),f318(x6762,x6763))
% 192.24/192.23 [677]~E(x6771,x6772)+E(f318(x6773,x6771),f318(x6773,x6772))
% 192.24/192.23 [678]~E(x6781,x6782)+E(f302(x6781,x6783,x6784,x6785,x6786),f302(x6782,x6783,x6784,x6785,x6786))
% 192.24/192.23 [679]~E(x6791,x6792)+E(f302(x6793,x6791,x6794,x6795,x6796),f302(x6793,x6792,x6794,x6795,x6796))
% 192.24/192.23 [680]~E(x6801,x6802)+E(f302(x6803,x6804,x6801,x6805,x6806),f302(x6803,x6804,x6802,x6805,x6806))
% 192.24/192.23 [681]~E(x6811,x6812)+E(f302(x6813,x6814,x6815,x6811,x6816),f302(x6813,x6814,x6815,x6812,x6816))
% 192.24/192.23 [682]~E(x6821,x6822)+E(f302(x6823,x6824,x6825,x6826,x6821),f302(x6823,x6824,x6825,x6826,x6822))
% 192.24/192.23 [683]~E(x6831,x6832)+E(f348(x6831,x6833),f348(x6832,x6833))
% 192.24/192.23 [684]~E(x6841,x6842)+E(f348(x6843,x6841),f348(x6843,x6842))
% 192.24/192.23 [685]~E(x6851,x6852)+E(f169(x6851,x6853,x6854),f169(x6852,x6853,x6854))
% 192.24/192.23 [686]~E(x6861,x6862)+E(f169(x6863,x6861,x6864),f169(x6863,x6862,x6864))
% 192.24/192.23 [687]~E(x6871,x6872)+E(f169(x6873,x6874,x6871),f169(x6873,x6874,x6872))
% 192.24/192.23 [688]~E(x6881,x6882)+E(f855(x6881,x6883,x6884),f855(x6882,x6883,x6884))
% 192.24/192.23 [689]~E(x6891,x6892)+E(f855(x6893,x6891,x6894),f855(x6893,x6892,x6894))
% 192.24/192.23 [690]~E(x6901,x6902)+E(f855(x6903,x6904,x6901),f855(x6903,x6904,x6902))
% 192.24/192.23 [691]~E(x6911,x6912)+E(f413(x6911,x6913,x6914,x6915,x6916),f413(x6912,x6913,x6914,x6915,x6916))
% 192.24/192.23 [692]~E(x6921,x6922)+E(f413(x6923,x6921,x6924,x6925,x6926),f413(x6923,x6922,x6924,x6925,x6926))
% 192.24/192.23 [693]~E(x6931,x6932)+E(f413(x6933,x6934,x6931,x6935,x6936),f413(x6933,x6934,x6932,x6935,x6936))
% 192.24/192.23 [694]~E(x6941,x6942)+E(f413(x6943,x6944,x6945,x6941,x6946),f413(x6943,x6944,x6945,x6942,x6946))
% 192.24/192.23 [695]~E(x6951,x6952)+E(f413(x6953,x6954,x6955,x6956,x6951),f413(x6953,x6954,x6955,x6956,x6952))
% 192.24/192.23 [696]~E(x6961,x6962)+E(f54(x6961,x6963),f54(x6962,x6963))
% 192.24/192.23 [697]~E(x6971,x6972)+E(f54(x6973,x6971),f54(x6973,x6972))
% 192.24/192.23 [698]~E(x6981,x6982)+E(f887(x6981,x6983,x6984,x6985),f887(x6982,x6983,x6984,x6985))
% 192.24/192.23 [699]~E(x6991,x6992)+E(f887(x6993,x6991,x6994,x6995),f887(x6993,x6992,x6994,x6995))
% 192.24/192.23 [700]~E(x7001,x7002)+E(f887(x7003,x7004,x7001,x7005),f887(x7003,x7004,x7002,x7005))
% 192.24/192.23 [701]~E(x7011,x7012)+E(f887(x7013,x7014,x7015,x7011),f887(x7013,x7014,x7015,x7012))
% 192.24/192.23 [702]~E(x7021,x7022)+E(f563(x7021,x7023,x7024),f563(x7022,x7023,x7024))
% 192.24/192.23 [703]~E(x7031,x7032)+E(f563(x7033,x7031,x7034),f563(x7033,x7032,x7034))
% 192.24/192.23 [704]~E(x7041,x7042)+E(f563(x7043,x7044,x7041),f563(x7043,x7044,x7042))
% 192.24/192.23 [705]~E(x7051,x7052)+E(f75(x7051,x7053),f75(x7052,x7053))
% 192.24/192.23 [706]~E(x7061,x7062)+E(f75(x7063,x7061),f75(x7063,x7062))
% 192.24/192.23 [707]~E(x7071,x7072)+E(f161(x7071,x7073),f161(x7072,x7073))
% 192.24/192.23 [708]~E(x7081,x7082)+E(f161(x7083,x7081),f161(x7083,x7082))
% 192.24/192.23 [709]~E(x7091,x7092)+E(f680(x7091,x7093,x7094,x7095,x7096),f680(x7092,x7093,x7094,x7095,x7096))
% 192.24/192.23 [710]~E(x7101,x7102)+E(f680(x7103,x7101,x7104,x7105,x7106),f680(x7103,x7102,x7104,x7105,x7106))
% 192.24/192.23 [711]~E(x7111,x7112)+E(f680(x7113,x7114,x7111,x7115,x7116),f680(x7113,x7114,x7112,x7115,x7116))
% 192.24/192.23 [712]~E(x7121,x7122)+E(f680(x7123,x7124,x7125,x7121,x7126),f680(x7123,x7124,x7125,x7122,x7126))
% 192.24/192.23 [713]~E(x7131,x7132)+E(f680(x7133,x7134,x7135,x7136,x7131),f680(x7133,x7134,x7135,x7136,x7132))
% 192.24/192.23 [714]~E(x7141,x7142)+E(f526(x7141,x7143,x7144,x7145),f526(x7142,x7143,x7144,x7145))
% 192.24/192.23 [715]~E(x7151,x7152)+E(f526(x7153,x7151,x7154,x7155),f526(x7153,x7152,x7154,x7155))
% 192.24/192.23 [716]~E(x7161,x7162)+E(f526(x7163,x7164,x7161,x7165),f526(x7163,x7164,x7162,x7165))
% 192.24/192.23 [717]~E(x7171,x7172)+E(f526(x7173,x7174,x7175,x7171),f526(x7173,x7174,x7175,x7172))
% 192.24/192.23 [718]~E(x7181,x7182)+E(f399(x7181,x7183,x7184,x7185),f399(x7182,x7183,x7184,x7185))
% 192.24/192.23 [719]~E(x7191,x7192)+E(f399(x7193,x7191,x7194,x7195),f399(x7193,x7192,x7194,x7195))
% 192.24/192.23 [720]~E(x7201,x7202)+E(f399(x7203,x7204,x7201,x7205),f399(x7203,x7204,x7202,x7205))
% 192.24/192.23 [721]~E(x7211,x7212)+E(f399(x7213,x7214,x7215,x7211),f399(x7213,x7214,x7215,x7212))
% 192.24/192.23 [722]~E(x7221,x7222)+E(f687(x7221,x7223,x7224),f687(x7222,x7223,x7224))
% 192.24/192.23 [723]~E(x7231,x7232)+E(f687(x7233,x7231,x7234),f687(x7233,x7232,x7234))
% 192.24/192.23 [724]~E(x7241,x7242)+E(f687(x7243,x7244,x7241),f687(x7243,x7244,x7242))
% 192.24/192.23 [725]~E(x7251,x7252)+E(f794(x7251,x7253,x7254),f794(x7252,x7253,x7254))
% 192.24/192.23 [726]~E(x7261,x7262)+E(f794(x7263,x7261,x7264),f794(x7263,x7262,x7264))
% 192.24/192.23 [727]~E(x7271,x7272)+E(f794(x7273,x7274,x7271),f794(x7273,x7274,x7272))
% 192.24/192.23 [728]~E(x7281,x7282)+E(f555(x7281,x7283,x7284,x7285,x7286,x7287,x7288,x7289),f555(x7282,x7283,x7284,x7285,x7286,x7287,x7288,x7289))
% 192.24/192.23 [729]~E(x7291,x7292)+E(f555(x7293,x7291,x7294,x7295,x7296,x7297,x7298,x7299),f555(x7293,x7292,x7294,x7295,x7296,x7297,x7298,x7299))
% 192.24/192.23 [730]~E(x7301,x7302)+E(f555(x7303,x7304,x7301,x7305,x7306,x7307,x7308,x7309),f555(x7303,x7304,x7302,x7305,x7306,x7307,x7308,x7309))
% 192.24/192.23 [731]~E(x7311,x7312)+E(f555(x7313,x7314,x7315,x7311,x7316,x7317,x7318,x7319),f555(x7313,x7314,x7315,x7312,x7316,x7317,x7318,x7319))
% 192.24/192.23 [732]~E(x7321,x7322)+E(f555(x7323,x7324,x7325,x7326,x7321,x7327,x7328,x7329),f555(x7323,x7324,x7325,x7326,x7322,x7327,x7328,x7329))
% 192.24/192.23 [733]~E(x7331,x7332)+E(f555(x7333,x7334,x7335,x7336,x7337,x7331,x7338,x7339),f555(x7333,x7334,x7335,x7336,x7337,x7332,x7338,x7339))
% 192.24/192.23 [734]~E(x7341,x7342)+E(f555(x7343,x7344,x7345,x7346,x7347,x7348,x7341,x7349),f555(x7343,x7344,x7345,x7346,x7347,x7348,x7342,x7349))
% 192.24/192.23 [735]~E(x7351,x7352)+E(f555(x7353,x7354,x7355,x7356,x7357,x7358,x7359,x7351),f555(x7353,x7354,x7355,x7356,x7357,x7358,x7359,x7352))
% 192.24/192.23 [736]~E(x7361,x7362)+E(f760(x7361,x7363),f760(x7362,x7363))
% 192.24/192.23 [737]~E(x7371,x7372)+E(f760(x7373,x7371),f760(x7373,x7372))
% 192.24/192.23 [738]~E(x7381,x7382)+E(f566(x7381,x7383,x7384,x7385),f566(x7382,x7383,x7384,x7385))
% 192.24/192.23 [739]~E(x7391,x7392)+E(f566(x7393,x7391,x7394,x7395),f566(x7393,x7392,x7394,x7395))
% 192.24/192.23 [740]~E(x7401,x7402)+E(f566(x7403,x7404,x7401,x7405),f566(x7403,x7404,x7402,x7405))
% 192.24/192.23 [741]~E(x7411,x7412)+E(f566(x7413,x7414,x7415,x7411),f566(x7413,x7414,x7415,x7412))
% 192.24/192.23 [742]~E(x7421,x7422)+E(f372(x7421,x7423,x7424),f372(x7422,x7423,x7424))
% 192.24/192.23 [743]~E(x7431,x7432)+E(f372(x7433,x7431,x7434),f372(x7433,x7432,x7434))
% 192.24/192.23 [744]~E(x7441,x7442)+E(f372(x7443,x7444,x7441),f372(x7443,x7444,x7442))
% 192.24/192.23 [745]~E(x7451,x7452)+E(f640(x7451,x7453,x7454),f640(x7452,x7453,x7454))
% 192.24/192.23 [746]~E(x7461,x7462)+E(f640(x7463,x7461,x7464),f640(x7463,x7462,x7464))
% 192.24/192.23 [747]~E(x7471,x7472)+E(f640(x7473,x7474,x7471),f640(x7473,x7474,x7472))
% 192.24/192.23 [748]~E(x7481,x7482)+E(f548(x7481,x7483,x7484,x7485,x7486,x7487),f548(x7482,x7483,x7484,x7485,x7486,x7487))
% 192.24/192.23 [749]~E(x7491,x7492)+E(f548(x7493,x7491,x7494,x7495,x7496,x7497),f548(x7493,x7492,x7494,x7495,x7496,x7497))
% 192.24/192.23 [750]~E(x7501,x7502)+E(f548(x7503,x7504,x7501,x7505,x7506,x7507),f548(x7503,x7504,x7502,x7505,x7506,x7507))
% 192.24/192.23 [751]~E(x7511,x7512)+E(f548(x7513,x7514,x7515,x7511,x7516,x7517),f548(x7513,x7514,x7515,x7512,x7516,x7517))
% 192.24/192.23 [752]~E(x7521,x7522)+E(f548(x7523,x7524,x7525,x7526,x7521,x7527),f548(x7523,x7524,x7525,x7526,x7522,x7527))
% 192.24/192.23 [753]~E(x7531,x7532)+E(f548(x7533,x7534,x7535,x7536,x7537,x7531),f548(x7533,x7534,x7535,x7536,x7537,x7532))
% 192.24/192.23 [754]~E(x7541,x7542)+E(f243(x7541,x7543),f243(x7542,x7543))
% 192.24/192.23 [755]~E(x7551,x7552)+E(f243(x7553,x7551),f243(x7553,x7552))
% 192.24/192.23 [756]~E(x7561,x7562)+E(f711(x7561,x7563,x7564,x7565,x7566),f711(x7562,x7563,x7564,x7565,x7566))
% 192.24/192.23 [757]~E(x7571,x7572)+E(f711(x7573,x7571,x7574,x7575,x7576),f711(x7573,x7572,x7574,x7575,x7576))
% 192.24/192.23 [758]~E(x7581,x7582)+E(f711(x7583,x7584,x7581,x7585,x7586),f711(x7583,x7584,x7582,x7585,x7586))
% 192.24/192.23 [759]~E(x7591,x7592)+E(f711(x7593,x7594,x7595,x7591,x7596),f711(x7593,x7594,x7595,x7592,x7596))
% 192.24/192.23 [760]~E(x7601,x7602)+E(f711(x7603,x7604,x7605,x7606,x7601),f711(x7603,x7604,x7605,x7606,x7602))
% 192.24/192.23 [761]~E(x7611,x7612)+E(f390(x7611,x7613),f390(x7612,x7613))
% 192.24/192.23 [762]~E(x7621,x7622)+E(f390(x7623,x7621),f390(x7623,x7622))
% 192.24/192.23 [763]~E(x7631,x7632)+E(f854(x7631,x7633,x7634),f854(x7632,x7633,x7634))
% 192.24/192.23 [764]~E(x7641,x7642)+E(f854(x7643,x7641,x7644),f854(x7643,x7642,x7644))
% 192.24/192.23 [765]~E(x7651,x7652)+E(f854(x7653,x7654,x7651),f854(x7653,x7654,x7652))
% 192.24/192.23 [766]~E(x7661,x7662)+E(f393(x7661,x7663,x7664,x7665),f393(x7662,x7663,x7664,x7665))
% 192.24/192.23 [767]~E(x7671,x7672)+E(f393(x7673,x7671,x7674,x7675),f393(x7673,x7672,x7674,x7675))
% 192.24/192.23 [768]~E(x7681,x7682)+E(f393(x7683,x7684,x7681,x7685),f393(x7683,x7684,x7682,x7685))
% 192.24/192.23 [769]~E(x7691,x7692)+E(f393(x7693,x7694,x7695,x7691),f393(x7693,x7694,x7695,x7692))
% 192.24/192.23 [770]~E(x7701,x7702)+E(f704(x7701,x7703,x7704,x7705,x7706),f704(x7702,x7703,x7704,x7705,x7706))
% 192.24/192.23 [771]~E(x7711,x7712)+E(f704(x7713,x7711,x7714,x7715,x7716),f704(x7713,x7712,x7714,x7715,x7716))
% 192.24/192.23 [772]~E(x7721,x7722)+E(f704(x7723,x7724,x7721,x7725,x7726),f704(x7723,x7724,x7722,x7725,x7726))
% 192.24/192.23 [773]~E(x7731,x7732)+E(f704(x7733,x7734,x7735,x7731,x7736),f704(x7733,x7734,x7735,x7732,x7736))
% 192.24/192.23 [774]~E(x7741,x7742)+E(f704(x7743,x7744,x7745,x7746,x7741),f704(x7743,x7744,x7745,x7746,x7742))
% 192.24/192.23 [775]~E(x7751,x7752)+E(f793(x7751,x7753,x7754),f793(x7752,x7753,x7754))
% 192.24/192.23 [776]~E(x7761,x7762)+E(f793(x7763,x7761,x7764),f793(x7763,x7762,x7764))
% 192.24/192.23 [777]~E(x7771,x7772)+E(f793(x7773,x7774,x7771),f793(x7773,x7774,x7772))
% 192.24/192.23 [778]~E(x7781,x7782)+E(f438(x7781,x7783,x7784,x7785,x7786),f438(x7782,x7783,x7784,x7785,x7786))
% 192.24/192.23 [779]~E(x7791,x7792)+E(f438(x7793,x7791,x7794,x7795,x7796),f438(x7793,x7792,x7794,x7795,x7796))
% 192.24/192.23 [780]~E(x7801,x7802)+E(f438(x7803,x7804,x7801,x7805,x7806),f438(x7803,x7804,x7802,x7805,x7806))
% 192.24/192.23 [781]~E(x7811,x7812)+E(f438(x7813,x7814,x7815,x7811,x7816),f438(x7813,x7814,x7815,x7812,x7816))
% 192.24/192.23 [782]~E(x7821,x7822)+E(f438(x7823,x7824,x7825,x7826,x7821),f438(x7823,x7824,x7825,x7826,x7822))
% 192.24/192.23 [783]~E(x7831,x7832)+E(f146(x7831,x7833),f146(x7832,x7833))
% 192.24/192.23 [784]~E(x7841,x7842)+E(f146(x7843,x7841),f146(x7843,x7842))
% 192.24/192.23 [785]~E(x7851,x7852)+E(f798(x7851,x7853,x7854),f798(x7852,x7853,x7854))
% 192.24/192.23 [786]~E(x7861,x7862)+E(f798(x7863,x7861,x7864),f798(x7863,x7862,x7864))
% 192.24/192.23 [787]~E(x7871,x7872)+E(f798(x7873,x7874,x7871),f798(x7873,x7874,x7872))
% 192.24/192.23 [788]~E(x7881,x7882)+E(f352(x7881,x7883,x7884),f352(x7882,x7883,x7884))
% 192.24/192.23 [789]~E(x7891,x7892)+E(f352(x7893,x7891,x7894),f352(x7893,x7892,x7894))
% 192.24/192.23 [790]~E(x7901,x7902)+E(f352(x7903,x7904,x7901),f352(x7903,x7904,x7902))
% 192.24/192.23 [791]~E(x7911,x7912)+E(f528(x7911,x7913,x7914,x7915,x7916),f528(x7912,x7913,x7914,x7915,x7916))
% 192.24/192.23 [792]~E(x7921,x7922)+E(f528(x7923,x7921,x7924,x7925,x7926),f528(x7923,x7922,x7924,x7925,x7926))
% 192.24/192.23 [793]~E(x7931,x7932)+E(f528(x7933,x7934,x7931,x7935,x7936),f528(x7933,x7934,x7932,x7935,x7936))
% 192.24/192.23 [794]~E(x7941,x7942)+E(f528(x7943,x7944,x7945,x7941,x7946),f528(x7943,x7944,x7945,x7942,x7946))
% 192.24/192.23 [795]~E(x7951,x7952)+E(f528(x7953,x7954,x7955,x7956,x7951),f528(x7953,x7954,x7955,x7956,x7952))
% 192.24/192.23 [796]~E(x7961,x7962)+E(f260(x7961,x7963,x7964,x7965),f260(x7962,x7963,x7964,x7965))
% 192.24/192.23 [797]~E(x7971,x7972)+E(f260(x7973,x7971,x7974,x7975),f260(x7973,x7972,x7974,x7975))
% 192.24/192.23 [798]~E(x7981,x7982)+E(f260(x7983,x7984,x7981,x7985),f260(x7983,x7984,x7982,x7985))
% 192.24/192.23 [799]~E(x7991,x7992)+E(f260(x7993,x7994,x7995,x7991),f260(x7993,x7994,x7995,x7992))
% 192.24/192.23 [800]~E(x8001,x8002)+E(f821(x8001,x8003,x8004),f821(x8002,x8003,x8004))
% 192.24/192.23 [801]~E(x8011,x8012)+E(f821(x8013,x8011,x8014),f821(x8013,x8012,x8014))
% 192.24/192.23 [802]~E(x8021,x8022)+E(f821(x8023,x8024,x8021),f821(x8023,x8024,x8022))
% 192.24/192.23 [803]~E(x8031,x8032)+E(f809(x8031,x8033,x8034,x8035),f809(x8032,x8033,x8034,x8035))
% 192.24/192.23 [804]~E(x8041,x8042)+E(f809(x8043,x8041,x8044,x8045),f809(x8043,x8042,x8044,x8045))
% 192.24/192.23 [805]~E(x8051,x8052)+E(f809(x8053,x8054,x8051,x8055),f809(x8053,x8054,x8052,x8055))
% 192.24/192.23 [806]~E(x8061,x8062)+E(f809(x8063,x8064,x8065,x8061),f809(x8063,x8064,x8065,x8062))
% 192.24/192.23 [807]~E(x8071,x8072)+E(f395(x8071,x8073),f395(x8072,x8073))
% 192.24/192.23 [808]~E(x8081,x8082)+E(f395(x8083,x8081),f395(x8083,x8082))
% 192.24/192.23 [809]~E(x8091,x8092)+E(f342(x8091),f342(x8092))
% 192.24/192.23 [810]~E(x8101,x8102)+E(f177(x8101,x8103,x8104),f177(x8102,x8103,x8104))
% 192.24/192.23 [811]~E(x8111,x8112)+E(f177(x8113,x8111,x8114),f177(x8113,x8112,x8114))
% 192.24/192.23 [812]~E(x8121,x8122)+E(f177(x8123,x8124,x8121),f177(x8123,x8124,x8122))
% 192.24/192.23 [813]~E(x8131,x8132)+E(f212(x8131,x8133,x8134,x8135,x8136,x8137,x8138),f212(x8132,x8133,x8134,x8135,x8136,x8137,x8138))
% 192.24/192.23 [814]~E(x8141,x8142)+E(f212(x8143,x8141,x8144,x8145,x8146,x8147,x8148),f212(x8143,x8142,x8144,x8145,x8146,x8147,x8148))
% 192.24/192.23 [815]~E(x8151,x8152)+E(f212(x8153,x8154,x8151,x8155,x8156,x8157,x8158),f212(x8153,x8154,x8152,x8155,x8156,x8157,x8158))
% 192.24/192.23 [816]~E(x8161,x8162)+E(f212(x8163,x8164,x8165,x8161,x8166,x8167,x8168),f212(x8163,x8164,x8165,x8162,x8166,x8167,x8168))
% 192.24/192.23 [817]~E(x8171,x8172)+E(f212(x8173,x8174,x8175,x8176,x8171,x8177,x8178),f212(x8173,x8174,x8175,x8176,x8172,x8177,x8178))
% 192.24/192.23 [818]~E(x8181,x8182)+E(f212(x8183,x8184,x8185,x8186,x8187,x8181,x8188),f212(x8183,x8184,x8185,x8186,x8187,x8182,x8188))
% 192.24/192.23 [819]~E(x8191,x8192)+E(f212(x8193,x8194,x8195,x8196,x8197,x8198,x8191),f212(x8193,x8194,x8195,x8196,x8197,x8198,x8192))
% 192.24/192.23 [820]~E(x8201,x8202)+E(f123(x8201,x8203,x8204),f123(x8202,x8203,x8204))
% 192.24/192.23 [821]~E(x8211,x8212)+E(f123(x8213,x8211,x8214),f123(x8213,x8212,x8214))
% 192.24/192.23 [822]~E(x8221,x8222)+E(f123(x8223,x8224,x8221),f123(x8223,x8224,x8222))
% 192.24/192.23 [823]~E(x8231,x8232)+E(f621(x8231,x8233,x8234,x8235,x8236),f621(x8232,x8233,x8234,x8235,x8236))
% 192.24/192.23 [824]~E(x8241,x8242)+E(f621(x8243,x8241,x8244,x8245,x8246),f621(x8243,x8242,x8244,x8245,x8246))
% 192.24/192.23 [825]~E(x8251,x8252)+E(f621(x8253,x8254,x8251,x8255,x8256),f621(x8253,x8254,x8252,x8255,x8256))
% 192.24/192.23 [826]~E(x8261,x8262)+E(f621(x8263,x8264,x8265,x8261,x8266),f621(x8263,x8264,x8265,x8262,x8266))
% 192.24/192.23 [827]~E(x8271,x8272)+E(f621(x8273,x8274,x8275,x8276,x8271),f621(x8273,x8274,x8275,x8276,x8272))
% 192.24/192.23 [828]~E(x8281,x8282)+E(f637(x8281,x8283,x8284),f637(x8282,x8283,x8284))
% 192.24/192.23 [829]~E(x8291,x8292)+E(f637(x8293,x8291,x8294),f637(x8293,x8292,x8294))
% 192.24/192.23 [830]~E(x8301,x8302)+E(f637(x8303,x8304,x8301),f637(x8303,x8304,x8302))
% 192.24/192.23 [831]~E(x8311,x8312)+E(f669(x8311,x8313,x8314,x8315,x8316),f669(x8312,x8313,x8314,x8315,x8316))
% 192.24/192.23 [832]~E(x8321,x8322)+E(f669(x8323,x8321,x8324,x8325,x8326),f669(x8323,x8322,x8324,x8325,x8326))
% 192.24/192.23 [833]~E(x8331,x8332)+E(f669(x8333,x8334,x8331,x8335,x8336),f669(x8333,x8334,x8332,x8335,x8336))
% 192.24/192.23 [834]~E(x8341,x8342)+E(f669(x8343,x8344,x8345,x8341,x8346),f669(x8343,x8344,x8345,x8342,x8346))
% 192.24/192.23 [835]~E(x8351,x8352)+E(f669(x8353,x8354,x8355,x8356,x8351),f669(x8353,x8354,x8355,x8356,x8352))
% 192.24/192.23 [836]~E(x8361,x8362)+E(f228(x8361,x8363,x8364,x8365,x8366),f228(x8362,x8363,x8364,x8365,x8366))
% 192.24/192.23 [837]~E(x8371,x8372)+E(f228(x8373,x8371,x8374,x8375,x8376),f228(x8373,x8372,x8374,x8375,x8376))
% 192.24/192.23 [838]~E(x8381,x8382)+E(f228(x8383,x8384,x8381,x8385,x8386),f228(x8383,x8384,x8382,x8385,x8386))
% 192.24/192.23 [839]~E(x8391,x8392)+E(f228(x8393,x8394,x8395,x8391,x8396),f228(x8393,x8394,x8395,x8392,x8396))
% 192.24/192.23 [840]~E(x8401,x8402)+E(f228(x8403,x8404,x8405,x8406,x8401),f228(x8403,x8404,x8405,x8406,x8402))
% 192.24/192.23 [841]~E(x8411,x8412)+E(f601(x8411,x8413),f601(x8412,x8413))
% 192.24/192.23 [842]~E(x8421,x8422)+E(f601(x8423,x8421),f601(x8423,x8422))
% 192.24/192.23 [843]~E(x8431,x8432)+E(f147(x8431,x8433),f147(x8432,x8433))
% 192.24/192.23 [844]~E(x8441,x8442)+E(f147(x8443,x8441),f147(x8443,x8442))
% 192.24/192.23 [845]~E(x8451,x8452)+E(f284(x8451),f284(x8452))
% 192.24/192.23 [846]~E(x8461,x8462)+E(f641(x8461,x8463,x8464),f641(x8462,x8463,x8464))
% 192.24/192.23 [847]~E(x8471,x8472)+E(f641(x8473,x8471,x8474),f641(x8473,x8472,x8474))
% 192.24/192.23 [848]~E(x8481,x8482)+E(f641(x8483,x8484,x8481),f641(x8483,x8484,x8482))
% 192.24/192.23 [849]~E(x8491,x8492)+E(f515(x8491,x8493,x8494,x8495,x8496,x8497,x8498),f515(x8492,x8493,x8494,x8495,x8496,x8497,x8498))
% 192.24/192.23 [850]~E(x8501,x8502)+E(f515(x8503,x8501,x8504,x8505,x8506,x8507,x8508),f515(x8503,x8502,x8504,x8505,x8506,x8507,x8508))
% 192.24/192.23 [851]~E(x8511,x8512)+E(f515(x8513,x8514,x8511,x8515,x8516,x8517,x8518),f515(x8513,x8514,x8512,x8515,x8516,x8517,x8518))
% 192.24/192.23 [852]~E(x8521,x8522)+E(f515(x8523,x8524,x8525,x8521,x8526,x8527,x8528),f515(x8523,x8524,x8525,x8522,x8526,x8527,x8528))
% 192.24/192.23 [853]~E(x8531,x8532)+E(f515(x8533,x8534,x8535,x8536,x8531,x8537,x8538),f515(x8533,x8534,x8535,x8536,x8532,x8537,x8538))
% 192.24/192.23 [854]~E(x8541,x8542)+E(f515(x8543,x8544,x8545,x8546,x8547,x8541,x8548),f515(x8543,x8544,x8545,x8546,x8547,x8542,x8548))
% 192.24/192.23 [855]~E(x8551,x8552)+E(f515(x8553,x8554,x8555,x8556,x8557,x8558,x8551),f515(x8553,x8554,x8555,x8556,x8557,x8558,x8552))
% 192.24/192.23 [856]~E(x8561,x8562)+E(f841(x8561,x8563,x8564,x8565,x8566,x8567),f841(x8562,x8563,x8564,x8565,x8566,x8567))
% 192.24/192.23 [857]~E(x8571,x8572)+E(f841(x8573,x8571,x8574,x8575,x8576,x8577),f841(x8573,x8572,x8574,x8575,x8576,x8577))
% 192.24/192.23 [858]~E(x8581,x8582)+E(f841(x8583,x8584,x8581,x8585,x8586,x8587),f841(x8583,x8584,x8582,x8585,x8586,x8587))
% 192.24/192.23 [859]~E(x8591,x8592)+E(f841(x8593,x8594,x8595,x8591,x8596,x8597),f841(x8593,x8594,x8595,x8592,x8596,x8597))
% 192.24/192.23 [860]~E(x8601,x8602)+E(f841(x8603,x8604,x8605,x8606,x8601,x8607),f841(x8603,x8604,x8605,x8606,x8602,x8607))
% 192.24/192.23 [861]~E(x8611,x8612)+E(f841(x8613,x8614,x8615,x8616,x8617,x8611),f841(x8613,x8614,x8615,x8616,x8617,x8612))
% 192.24/192.23 [862]~E(x8621,x8622)+E(f591(x8621,x8623,x8624,x8625),f591(x8622,x8623,x8624,x8625))
% 192.24/192.23 [863]~E(x8631,x8632)+E(f591(x8633,x8631,x8634,x8635),f591(x8633,x8632,x8634,x8635))
% 192.24/192.23 [864]~E(x8641,x8642)+E(f591(x8643,x8644,x8641,x8645),f591(x8643,x8644,x8642,x8645))
% 192.24/192.23 [865]~E(x8651,x8652)+E(f591(x8653,x8654,x8655,x8651),f591(x8653,x8654,x8655,x8652))
% 192.24/192.23 [866]~E(x8661,x8662)+E(f485(x8661,x8663,x8664,x8665,x8666,x8667,x8668,x8669),f485(x8662,x8663,x8664,x8665,x8666,x8667,x8668,x8669))
% 192.24/192.23 [867]~E(x8671,x8672)+E(f485(x8673,x8671,x8674,x8675,x8676,x8677,x8678,x8679),f485(x8673,x8672,x8674,x8675,x8676,x8677,x8678,x8679))
% 192.24/192.23 [868]~E(x8681,x8682)+E(f485(x8683,x8684,x8681,x8685,x8686,x8687,x8688,x8689),f485(x8683,x8684,x8682,x8685,x8686,x8687,x8688,x8689))
% 192.24/192.23 [869]~E(x8691,x8692)+E(f485(x8693,x8694,x8695,x8691,x8696,x8697,x8698,x8699),f485(x8693,x8694,x8695,x8692,x8696,x8697,x8698,x8699))
% 192.24/192.23 [870]~E(x8701,x8702)+E(f485(x8703,x8704,x8705,x8706,x8701,x8707,x8708,x8709),f485(x8703,x8704,x8705,x8706,x8702,x8707,x8708,x8709))
% 192.24/192.23 [871]~E(x8711,x8712)+E(f485(x8713,x8714,x8715,x8716,x8717,x8711,x8718,x8719),f485(x8713,x8714,x8715,x8716,x8717,x8712,x8718,x8719))
% 192.24/192.23 [872]~E(x8721,x8722)+E(f485(x8723,x8724,x8725,x8726,x8727,x8728,x8721,x8729),f485(x8723,x8724,x8725,x8726,x8727,x8728,x8722,x8729))
% 192.24/192.23 [873]~E(x8731,x8732)+E(f485(x8733,x8734,x8735,x8736,x8737,x8738,x8739,x8731),f485(x8733,x8734,x8735,x8736,x8737,x8738,x8739,x8732))
% 192.24/192.23 [874]~E(x8741,x8742)+E(f236(x8741),f236(x8742))
% 192.24/192.23 [875]~E(x8751,x8752)+E(f559(x8751,x8753),f559(x8752,x8753))
% 192.24/192.23 [876]~E(x8761,x8762)+E(f559(x8763,x8761),f559(x8763,x8762))
% 192.24/192.23 [877]~E(x8771,x8772)+E(f21(x8771,x8773),f21(x8772,x8773))
% 192.24/192.23 [878]~E(x8781,x8782)+E(f21(x8783,x8781),f21(x8783,x8782))
% 192.24/192.23 [879]~E(x8791,x8792)+E(f745(x8791,x8793,x8794,x8795),f745(x8792,x8793,x8794,x8795))
% 192.24/192.23 [880]~E(x8801,x8802)+E(f745(x8803,x8801,x8804,x8805),f745(x8803,x8802,x8804,x8805))
% 192.24/192.23 [881]~E(x8811,x8812)+E(f745(x8813,x8814,x8811,x8815),f745(x8813,x8814,x8812,x8815))
% 192.24/192.23 [882]~E(x8821,x8822)+E(f745(x8823,x8824,x8825,x8821),f745(x8823,x8824,x8825,x8822))
% 192.24/192.23 [883]~E(x8831,x8832)+E(f880(x8831,x8833,x8834,x8835),f880(x8832,x8833,x8834,x8835))
% 192.24/192.23 [884]~E(x8841,x8842)+E(f880(x8843,x8841,x8844,x8845),f880(x8843,x8842,x8844,x8845))
% 192.24/192.23 [885]~E(x8851,x8852)+E(f880(x8853,x8854,x8851,x8855),f880(x8853,x8854,x8852,x8855))
% 192.24/192.23 [886]~E(x8861,x8862)+E(f880(x8863,x8864,x8865,x8861),f880(x8863,x8864,x8865,x8862))
% 192.24/192.23 [887]~E(x8871,x8872)+E(f599(x8871,x8873,x8874),f599(x8872,x8873,x8874))
% 192.24/192.23 [888]~E(x8881,x8882)+E(f599(x8883,x8881,x8884),f599(x8883,x8882,x8884))
% 192.24/192.23 [889]~E(x8891,x8892)+E(f599(x8893,x8894,x8891),f599(x8893,x8894,x8892))
% 192.24/192.23 [890]~E(x8901,x8902)+E(f499(x8901,x8903,x8904),f499(x8902,x8903,x8904))
% 192.24/192.23 [891]~E(x8911,x8912)+E(f499(x8913,x8911,x8914),f499(x8913,x8912,x8914))
% 192.24/192.23 [892]~E(x8921,x8922)+E(f499(x8923,x8924,x8921),f499(x8923,x8924,x8922))
% 192.24/192.23 [893]~E(x8931,x8932)+E(f523(x8931,x8933,x8934,x8935),f523(x8932,x8933,x8934,x8935))
% 192.24/192.23 [894]~E(x8941,x8942)+E(f523(x8943,x8941,x8944,x8945),f523(x8943,x8942,x8944,x8945))
% 192.24/192.23 [895]~E(x8951,x8952)+E(f523(x8953,x8954,x8951,x8955),f523(x8953,x8954,x8952,x8955))
% 192.24/192.23 [896]~E(x8961,x8962)+E(f523(x8963,x8964,x8965,x8961),f523(x8963,x8964,x8965,x8962))
% 192.24/192.23 [897]~E(x8971,x8972)+E(f271(x8971,x8973),f271(x8972,x8973))
% 192.24/192.23 [898]~E(x8981,x8982)+E(f271(x8983,x8981),f271(x8983,x8982))
% 192.24/192.23 [899]~E(x8991,x8992)+E(f603(x8991,x8993,x8994),f603(x8992,x8993,x8994))
% 192.24/192.23 [900]~E(x9001,x9002)+E(f603(x9003,x9001,x9004),f603(x9003,x9002,x9004))
% 192.24/192.23 [901]~E(x9011,x9012)+E(f603(x9013,x9014,x9011),f603(x9013,x9014,x9012))
% 192.24/192.23 [902]~E(x9021,x9022)+E(f543(x9021,x9023,x9024,x9025),f543(x9022,x9023,x9024,x9025))
% 192.24/192.23 [903]~E(x9031,x9032)+E(f543(x9033,x9031,x9034,x9035),f543(x9033,x9032,x9034,x9035))
% 192.24/192.23 [904]~E(x9041,x9042)+E(f543(x9043,x9044,x9041,x9045),f543(x9043,x9044,x9042,x9045))
% 192.24/192.23 [905]~E(x9051,x9052)+E(f543(x9053,x9054,x9055,x9051),f543(x9053,x9054,x9055,x9052))
% 192.24/192.23 [906]~E(x9061,x9062)+E(f582(x9061,x9063,x9064,x9065,x9066,x9067),f582(x9062,x9063,x9064,x9065,x9066,x9067))
% 192.24/192.23 [907]~E(x9071,x9072)+E(f582(x9073,x9071,x9074,x9075,x9076,x9077),f582(x9073,x9072,x9074,x9075,x9076,x9077))
% 192.24/192.23 [908]~E(x9081,x9082)+E(f582(x9083,x9084,x9081,x9085,x9086,x9087),f582(x9083,x9084,x9082,x9085,x9086,x9087))
% 192.24/192.23 [909]~E(x9091,x9092)+E(f582(x9093,x9094,x9095,x9091,x9096,x9097),f582(x9093,x9094,x9095,x9092,x9096,x9097))
% 192.24/192.23 [910]~E(x9101,x9102)+E(f582(x9103,x9104,x9105,x9106,x9101,x9107),f582(x9103,x9104,x9105,x9106,x9102,x9107))
% 192.24/192.23 [911]~E(x9111,x9112)+E(f582(x9113,x9114,x9115,x9116,x9117,x9111),f582(x9113,x9114,x9115,x9116,x9117,x9112))
% 192.24/192.23 [912]~E(x9121,x9122)+E(f638(x9121,x9123,x9124),f638(x9122,x9123,x9124))
% 192.24/192.23 [913]~E(x9131,x9132)+E(f638(x9133,x9131,x9134),f638(x9133,x9132,x9134))
% 192.24/192.23 [914]~E(x9141,x9142)+E(f638(x9143,x9144,x9141),f638(x9143,x9144,x9142))
% 192.24/192.23 [915]~E(x9151,x9152)+E(f386(x9151,x9153,x9154,x9155),f386(x9152,x9153,x9154,x9155))
% 192.24/192.23 [916]~E(x9161,x9162)+E(f386(x9163,x9161,x9164,x9165),f386(x9163,x9162,x9164,x9165))
% 192.24/192.23 [917]~E(x9171,x9172)+E(f386(x9173,x9174,x9171,x9175),f386(x9173,x9174,x9172,x9175))
% 192.24/192.23 [918]~E(x9181,x9182)+E(f386(x9183,x9184,x9185,x9181),f386(x9183,x9184,x9185,x9182))
% 192.24/192.23 [919]~E(x9191,x9192)+E(f493(x9191,x9193,x9194),f493(x9192,x9193,x9194))
% 192.24/192.23 [920]~E(x9201,x9202)+E(f493(x9203,x9201,x9204),f493(x9203,x9202,x9204))
% 192.24/192.23 [921]~E(x9211,x9212)+E(f493(x9213,x9214,x9211),f493(x9213,x9214,x9212))
% 192.24/192.23 [922]~E(x9221,x9222)+E(f195(x9221,x9223),f195(x9222,x9223))
% 192.24/192.23 [923]~E(x9231,x9232)+E(f195(x9233,x9231),f195(x9233,x9232))
% 192.24/192.23 [924]~E(x9241,x9242)+E(f47(x9241,x9243),f47(x9242,x9243))
% 192.24/192.23 [925]~E(x9251,x9252)+E(f47(x9253,x9251),f47(x9253,x9252))
% 192.24/192.23 [926]~E(x9261,x9262)+E(f125(x9261,x9263),f125(x9262,x9263))
% 192.24/192.23 [927]~E(x9271,x9272)+E(f125(x9273,x9271),f125(x9273,x9272))
% 192.24/192.23 [928]~E(x9281,x9282)+E(f406(x9281,x9283,x9284),f406(x9282,x9283,x9284))
% 192.24/192.23 [929]~E(x9291,x9292)+E(f406(x9293,x9291,x9294),f406(x9293,x9292,x9294))
% 192.24/192.23 [930]~E(x9301,x9302)+E(f406(x9303,x9304,x9301),f406(x9303,x9304,x9302))
% 192.24/192.23 [931]~E(x9311,x9312)+E(f153(x9311,x9313,x9314,x9315),f153(x9312,x9313,x9314,x9315))
% 192.24/192.23 [932]~E(x9321,x9322)+E(f153(x9323,x9321,x9324,x9325),f153(x9323,x9322,x9324,x9325))
% 192.24/192.23 [933]~E(x9331,x9332)+E(f153(x9333,x9334,x9331,x9335),f153(x9333,x9334,x9332,x9335))
% 192.24/192.23 [934]~E(x9341,x9342)+E(f153(x9343,x9344,x9345,x9341),f153(x9343,x9344,x9345,x9342))
% 192.24/192.23 [935]~E(x9351,x9352)+E(f505(x9351),f505(x9352))
% 192.24/192.23 [936]~E(x9361,x9362)+E(f374(x9361,x9363,x9364),f374(x9362,x9363,x9364))
% 192.24/192.23 [937]~E(x9371,x9372)+E(f374(x9373,x9371,x9374),f374(x9373,x9372,x9374))
% 192.24/192.23 [938]~E(x9381,x9382)+E(f374(x9383,x9384,x9381),f374(x9383,x9384,x9382))
% 192.24/192.23 [939]~E(x9391,x9392)+E(f483(x9391,x9393,x9394,x9395,x9396),f483(x9392,x9393,x9394,x9395,x9396))
% 192.24/192.23 [940]~E(x9401,x9402)+E(f483(x9403,x9401,x9404,x9405,x9406),f483(x9403,x9402,x9404,x9405,x9406))
% 192.24/192.23 [941]~E(x9411,x9412)+E(f483(x9413,x9414,x9411,x9415,x9416),f483(x9413,x9414,x9412,x9415,x9416))
% 192.24/192.23 [942]~E(x9421,x9422)+E(f483(x9423,x9424,x9425,x9421,x9426),f483(x9423,x9424,x9425,x9422,x9426))
% 192.24/192.23 [943]~E(x9431,x9432)+E(f483(x9433,x9434,x9435,x9436,x9431),f483(x9433,x9434,x9435,x9436,x9432))
% 192.24/192.23 [944]~E(x9441,x9442)+E(f730(x9441,x9443),f730(x9442,x9443))
% 192.24/192.23 [945]~E(x9451,x9452)+E(f730(x9453,x9451),f730(x9453,x9452))
% 192.24/192.23 [946]~E(x9461,x9462)+E(f751(x9461,x9463,x9464,x9465),f751(x9462,x9463,x9464,x9465))
% 192.24/192.23 [947]~E(x9471,x9472)+E(f751(x9473,x9471,x9474,x9475),f751(x9473,x9472,x9474,x9475))
% 192.24/192.23 [948]~E(x9481,x9482)+E(f751(x9483,x9484,x9481,x9485),f751(x9483,x9484,x9482,x9485))
% 192.24/192.23 [949]~E(x9491,x9492)+E(f751(x9493,x9494,x9495,x9491),f751(x9493,x9494,x9495,x9492))
% 192.24/192.23 [950]~E(x9501,x9502)+E(f752(x9501,x9503),f752(x9502,x9503))
% 192.24/192.23 [951]~E(x9511,x9512)+E(f752(x9513,x9511),f752(x9513,x9512))
% 192.24/192.23 [952]~E(x9521,x9522)+E(f768(x9521,x9523,x9524,x9525,x9526),f768(x9522,x9523,x9524,x9525,x9526))
% 192.24/192.23 [953]~E(x9531,x9532)+E(f768(x9533,x9531,x9534,x9535,x9536),f768(x9533,x9532,x9534,x9535,x9536))
% 192.24/192.23 [954]~E(x9541,x9542)+E(f768(x9543,x9544,x9541,x9545,x9546),f768(x9543,x9544,x9542,x9545,x9546))
% 192.24/192.23 [955]~E(x9551,x9552)+E(f768(x9553,x9554,x9555,x9551,x9556),f768(x9553,x9554,x9555,x9552,x9556))
% 192.24/192.23 [956]~E(x9561,x9562)+E(f768(x9563,x9564,x9565,x9566,x9561),f768(x9563,x9564,x9565,x9566,x9562))
% 192.24/192.23 [957]~E(x9571,x9572)+E(f128(x9571),f128(x9572))
% 192.24/192.23 [958]~E(x9581,x9582)+E(f208(x9581),f208(x9582))
% 192.24/192.23 [959]~E(x9591,x9592)+E(f160(x9591,x9593),f160(x9592,x9593))
% 192.24/192.23 [960]~E(x9601,x9602)+E(f160(x9603,x9601),f160(x9603,x9602))
% 192.24/192.23 [961]~E(x9611,x9612)+E(f802(x9611,x9613,x9614,x9615),f802(x9612,x9613,x9614,x9615))
% 192.24/192.23 [962]~E(x9621,x9622)+E(f802(x9623,x9621,x9624,x9625),f802(x9623,x9622,x9624,x9625))
% 192.24/192.23 [963]~E(x9631,x9632)+E(f802(x9633,x9634,x9631,x9635),f802(x9633,x9634,x9632,x9635))
% 192.24/192.23 [964]~E(x9641,x9642)+E(f802(x9643,x9644,x9645,x9641),f802(x9643,x9644,x9645,x9642))
% 192.24/192.23 [965]~E(x9651,x9652)+E(f699(x9651,x9653,x9654,x9655,x9656),f699(x9652,x9653,x9654,x9655,x9656))
% 192.24/192.23 [966]~E(x9661,x9662)+E(f699(x9663,x9661,x9664,x9665,x9666),f699(x9663,x9662,x9664,x9665,x9666))
% 192.24/192.23 [967]~E(x9671,x9672)+E(f699(x9673,x9674,x9671,x9675,x9676),f699(x9673,x9674,x9672,x9675,x9676))
% 192.24/192.23 [968]~E(x9681,x9682)+E(f699(x9683,x9684,x9685,x9681,x9686),f699(x9683,x9684,x9685,x9682,x9686))
% 192.24/192.23 [969]~E(x9691,x9692)+E(f699(x9693,x9694,x9695,x9696,x9691),f699(x9693,x9694,x9695,x9696,x9692))
% 192.24/192.23 [970]~E(x9701,x9702)+E(f712(x9701,x9703,x9704),f712(x9702,x9703,x9704))
% 192.24/192.23 [971]~E(x9711,x9712)+E(f712(x9713,x9711,x9714),f712(x9713,x9712,x9714))
% 192.24/192.23 [972]~E(x9721,x9722)+E(f712(x9723,x9724,x9721),f712(x9723,x9724,x9722))
% 192.24/192.23 [973]~E(x9731,x9732)+E(f506(x9731,x9733,x9734,x9735),f506(x9732,x9733,x9734,x9735))
% 192.24/192.23 [974]~E(x9741,x9742)+E(f506(x9743,x9741,x9744,x9745),f506(x9743,x9742,x9744,x9745))
% 192.24/192.23 [975]~E(x9751,x9752)+E(f506(x9753,x9754,x9751,x9755),f506(x9753,x9754,x9752,x9755))
% 192.24/192.23 [976]~E(x9761,x9762)+E(f506(x9763,x9764,x9765,x9761),f506(x9763,x9764,x9765,x9762))
% 192.24/192.23 [977]~E(x9771,x9772)+E(f690(x9771,x9773),f690(x9772,x9773))
% 192.24/192.23 [978]~E(x9781,x9782)+E(f690(x9783,x9781),f690(x9783,x9782))
% 192.24/192.23 [979]~E(x9791,x9792)+E(f202(x9791,x9793,x9794,x9795),f202(x9792,x9793,x9794,x9795))
% 192.24/192.23 [980]~E(x9801,x9802)+E(f202(x9803,x9801,x9804,x9805),f202(x9803,x9802,x9804,x9805))
% 192.24/192.23 [981]~E(x9811,x9812)+E(f202(x9813,x9814,x9811,x9815),f202(x9813,x9814,x9812,x9815))
% 192.24/192.23 [982]~E(x9821,x9822)+E(f202(x9823,x9824,x9825,x9821),f202(x9823,x9824,x9825,x9822))
% 192.24/192.23 [983]~E(x9831,x9832)+E(f544(x9831,x9833,x9834,x9835,x9836),f544(x9832,x9833,x9834,x9835,x9836))
% 192.24/192.23 [984]~E(x9841,x9842)+E(f544(x9843,x9841,x9844,x9845,x9846),f544(x9843,x9842,x9844,x9845,x9846))
% 192.24/192.23 [985]~E(x9851,x9852)+E(f544(x9853,x9854,x9851,x9855,x9856),f544(x9853,x9854,x9852,x9855,x9856))
% 192.24/192.23 [986]~E(x9861,x9862)+E(f544(x9863,x9864,x9865,x9861,x9866),f544(x9863,x9864,x9865,x9862,x9866))
% 192.24/192.23 [987]~E(x9871,x9872)+E(f544(x9873,x9874,x9875,x9876,x9871),f544(x9873,x9874,x9875,x9876,x9872))
% 192.24/192.23 [988]~E(x9881,x9882)+E(f619(x9881,x9883,x9884,x9885),f619(x9882,x9883,x9884,x9885))
% 192.24/192.23 [989]~E(x9891,x9892)+E(f619(x9893,x9891,x9894,x9895),f619(x9893,x9892,x9894,x9895))
% 192.24/192.23 [990]~E(x9901,x9902)+E(f619(x9903,x9904,x9901,x9905),f619(x9903,x9904,x9902,x9905))
% 192.24/192.23 [991]~E(x9911,x9912)+E(f619(x9913,x9914,x9915,x9911),f619(x9913,x9914,x9915,x9912))
% 192.24/192.23 [992]~E(x9921,x9922)+E(f440(x9921,x9923,x9924,x9925,x9926),f440(x9922,x9923,x9924,x9925,x9926))
% 192.24/192.23 [993]~E(x9931,x9932)+E(f440(x9933,x9931,x9934,x9935,x9936),f440(x9933,x9932,x9934,x9935,x9936))
% 192.24/192.23 [994]~E(x9941,x9942)+E(f440(x9943,x9944,x9941,x9945,x9946),f440(x9943,x9944,x9942,x9945,x9946))
% 192.24/192.23 [995]~E(x9951,x9952)+E(f440(x9953,x9954,x9955,x9951,x9956),f440(x9953,x9954,x9955,x9952,x9956))
% 192.24/192.23 [996]~E(x9961,x9962)+E(f440(x9963,x9964,x9965,x9966,x9961),f440(x9963,x9964,x9965,x9966,x9962))
% 192.24/192.23 [997]~E(x9971,x9972)+E(f826(x9971),f826(x9972))
% 192.24/192.23 [998]~E(x9981,x9982)+E(f593(x9981,x9983,x9984,x9985,x9986,x9987,x9988,x9989,x99810),f593(x9982,x9983,x9984,x9985,x9986,x9987,x9988,x9989,x99810))
% 192.24/192.23 [999]~E(x9991,x9992)+E(f593(x9993,x9991,x9994,x9995,x9996,x9997,x9998,x9999,x99910),f593(x9993,x9992,x9994,x9995,x9996,x9997,x9998,x9999,x99910))
% 192.24/192.23 [1000]~E(x10001,x10002)+E(f593(x10003,x10004,x10001,x10005,x10006,x10007,x10008,x10009,x100010),f593(x10003,x10004,x10002,x10005,x10006,x10007,x10008,x10009,x100010))
% 192.24/192.23 [1001]~E(x10011,x10012)+E(f593(x10013,x10014,x10015,x10011,x10016,x10017,x10018,x10019,x100110),f593(x10013,x10014,x10015,x10012,x10016,x10017,x10018,x10019,x100110))
% 192.24/192.23 [1002]~E(x10021,x10022)+E(f593(x10023,x10024,x10025,x10026,x10021,x10027,x10028,x10029,x100210),f593(x10023,x10024,x10025,x10026,x10022,x10027,x10028,x10029,x100210))
% 192.24/192.23 [1003]~E(x10031,x10032)+E(f593(x10033,x10034,x10035,x10036,x10037,x10031,x10038,x10039,x100310),f593(x10033,x10034,x10035,x10036,x10037,x10032,x10038,x10039,x100310))
% 192.24/192.23 [1004]~E(x10041,x10042)+E(f593(x10043,x10044,x10045,x10046,x10047,x10048,x10041,x10049,x100410),f593(x10043,x10044,x10045,x10046,x10047,x10048,x10042,x10049,x100410))
% 192.24/192.23 [1005]~E(x10051,x10052)+E(f593(x10053,x10054,x10055,x10056,x10057,x10058,x10059,x10051,x100510),f593(x10053,x10054,x10055,x10056,x10057,x10058,x10059,x10052,x100510))
% 192.24/192.23 [1006]~E(x10061,x10062)+E(f593(x10063,x10064,x10065,x10066,x10067,x10068,x10069,x100610,x10061),f593(x10063,x10064,x10065,x10066,x10067,x10068,x10069,x100610,x10062))
% 192.24/192.23 [1007]~E(x10071,x10072)+E(f864(x10071,x10073,x10074),f864(x10072,x10073,x10074))
% 192.24/192.23 [1008]~E(x10081,x10082)+E(f864(x10083,x10081,x10084),f864(x10083,x10082,x10084))
% 192.24/192.23 [1009]~E(x10091,x10092)+E(f864(x10093,x10094,x10091),f864(x10093,x10094,x10092))
% 192.24/192.23 [1010]~E(x10101,x10102)+E(f695(x10101,x10103,x10104),f695(x10102,x10103,x10104))
% 192.24/192.23 [1011]~E(x10111,x10112)+E(f695(x10113,x10111,x10114),f695(x10113,x10112,x10114))
% 192.24/192.23 [1012]~E(x10121,x10122)+E(f695(x10123,x10124,x10121),f695(x10123,x10124,x10122))
% 192.24/192.23 [1013]~E(x10131,x10132)+E(f253(x10131,x10133),f253(x10132,x10133))
% 192.24/192.23 [1014]~E(x10141,x10142)+E(f253(x10143,x10141),f253(x10143,x10142))
% 192.24/192.23 [1015]~E(x10151,x10152)+E(f869(x10151,x10153,x10154,x10155,x10156),f869(x10152,x10153,x10154,x10155,x10156))
% 192.24/192.23 [1016]~E(x10161,x10162)+E(f869(x10163,x10161,x10164,x10165,x10166),f869(x10163,x10162,x10164,x10165,x10166))
% 192.24/192.23 [1017]~E(x10171,x10172)+E(f869(x10173,x10174,x10171,x10175,x10176),f869(x10173,x10174,x10172,x10175,x10176))
% 192.24/192.23 [1018]~E(x10181,x10182)+E(f869(x10183,x10184,x10185,x10181,x10186),f869(x10183,x10184,x10185,x10182,x10186))
% 192.24/192.23 [1019]~E(x10191,x10192)+E(f869(x10193,x10194,x10195,x10196,x10191),f869(x10193,x10194,x10195,x10196,x10192))
% 192.24/192.23 [1020]~E(x10201,x10202)+E(f540(x10201,x10203),f540(x10202,x10203))
% 192.24/192.23 [1021]~E(x10211,x10212)+E(f540(x10213,x10211),f540(x10213,x10212))
% 192.24/192.23 [1022]~E(x10221,x10222)+E(f649(x10221,x10223,x10224),f649(x10222,x10223,x10224))
% 192.24/192.23 [1023]~E(x10231,x10232)+E(f649(x10233,x10231,x10234),f649(x10233,x10232,x10234))
% 192.24/192.23 [1024]~E(x10241,x10242)+E(f649(x10243,x10244,x10241),f649(x10243,x10244,x10242))
% 192.24/192.23 [1025]~E(x10251,x10252)+E(f832(x10251),f832(x10252))
% 192.24/192.23 [1026]~E(x10261,x10262)+E(f659(x10261,x10263,x10264),f659(x10262,x10263,x10264))
% 192.24/192.23 [1027]~E(x10271,x10272)+E(f659(x10273,x10271,x10274),f659(x10273,x10272,x10274))
% 192.24/192.23 [1028]~E(x10281,x10282)+E(f659(x10283,x10284,x10281),f659(x10283,x10284,x10282))
% 192.24/192.23 [1029]~E(x10291,x10292)+E(f546(x10291,x10293,x10294,x10295,x10296,x10297),f546(x10292,x10293,x10294,x10295,x10296,x10297))
% 192.24/192.23 [1030]~E(x10301,x10302)+E(f546(x10303,x10301,x10304,x10305,x10306,x10307),f546(x10303,x10302,x10304,x10305,x10306,x10307))
% 192.24/192.23 [1031]~E(x10311,x10312)+E(f546(x10313,x10314,x10311,x10315,x10316,x10317),f546(x10313,x10314,x10312,x10315,x10316,x10317))
% 192.24/192.23 [1032]~E(x10321,x10322)+E(f546(x10323,x10324,x10325,x10321,x10326,x10327),f546(x10323,x10324,x10325,x10322,x10326,x10327))
% 192.24/192.23 [1033]~E(x10331,x10332)+E(f546(x10333,x10334,x10335,x10336,x10331,x10337),f546(x10333,x10334,x10335,x10336,x10332,x10337))
% 192.24/192.23 [1034]~E(x10341,x10342)+E(f546(x10343,x10344,x10345,x10346,x10347,x10341),f546(x10343,x10344,x10345,x10346,x10347,x10342))
% 192.24/192.23 [1035]~E(x10351,x10352)+E(f600(x10351,x10353,x10354),f600(x10352,x10353,x10354))
% 192.24/192.23 [1036]~E(x10361,x10362)+E(f600(x10363,x10361,x10364),f600(x10363,x10362,x10364))
% 192.24/192.23 [1037]~E(x10371,x10372)+E(f600(x10373,x10374,x10371),f600(x10373,x10374,x10372))
% 192.24/192.23 [1038]~E(x10381,x10382)+E(f409(x10381,x10383,x10384),f409(x10382,x10383,x10384))
% 192.24/192.23 [1039]~E(x10391,x10392)+E(f409(x10393,x10391,x10394),f409(x10393,x10392,x10394))
% 192.24/192.23 [1040]~E(x10401,x10402)+E(f409(x10403,x10404,x10401),f409(x10403,x10404,x10402))
% 192.24/192.23 [1041]~E(x10411,x10412)+E(f396(x10411,x10413),f396(x10412,x10413))
% 192.24/192.23 [1042]~E(x10421,x10422)+E(f396(x10423,x10421),f396(x10423,x10422))
% 192.24/192.23 [1043]~E(x10431,x10432)+E(f337(x10431),f337(x10432))
% 192.24/192.23 [1044]~E(x10441,x10442)+E(f767(x10441,x10443,x10444,x10445,x10446),f767(x10442,x10443,x10444,x10445,x10446))
% 192.24/192.23 [1045]~E(x10451,x10452)+E(f767(x10453,x10451,x10454,x10455,x10456),f767(x10453,x10452,x10454,x10455,x10456))
% 192.24/192.23 [1046]~E(x10461,x10462)+E(f767(x10463,x10464,x10461,x10465,x10466),f767(x10463,x10464,x10462,x10465,x10466))
% 192.24/192.23 [1047]~E(x10471,x10472)+E(f767(x10473,x10474,x10475,x10471,x10476),f767(x10473,x10474,x10475,x10472,x10476))
% 192.24/192.23 [1048]~E(x10481,x10482)+E(f767(x10483,x10484,x10485,x10486,x10481),f767(x10483,x10484,x10485,x10486,x10482))
% 192.24/192.23 [1049]~E(x10491,x10492)+E(f58(x10491),f58(x10492))
% 192.24/192.23 [1050]~E(x10501,x10502)+E(f471(x10501,x10503,x10504,x10505,x10506,x10507),f471(x10502,x10503,x10504,x10505,x10506,x10507))
% 192.24/192.23 [1051]~E(x10511,x10512)+E(f471(x10513,x10511,x10514,x10515,x10516,x10517),f471(x10513,x10512,x10514,x10515,x10516,x10517))
% 192.24/192.23 [1052]~E(x10521,x10522)+E(f471(x10523,x10524,x10521,x10525,x10526,x10527),f471(x10523,x10524,x10522,x10525,x10526,x10527))
% 192.24/192.23 [1053]~E(x10531,x10532)+E(f471(x10533,x10534,x10535,x10531,x10536,x10537),f471(x10533,x10534,x10535,x10532,x10536,x10537))
% 192.24/192.23 [1054]~E(x10541,x10542)+E(f471(x10543,x10544,x10545,x10546,x10541,x10547),f471(x10543,x10544,x10545,x10546,x10542,x10547))
% 192.24/192.23 [1055]~E(x10551,x10552)+E(f471(x10553,x10554,x10555,x10556,x10557,x10551),f471(x10553,x10554,x10555,x10556,x10557,x10552))
% 192.24/192.23 [1056]~E(x10561,x10562)+E(f547(x10561,x10563,x10564,x10565),f547(x10562,x10563,x10564,x10565))
% 192.24/192.23 [1057]~E(x10571,x10572)+E(f547(x10573,x10571,x10574,x10575),f547(x10573,x10572,x10574,x10575))
% 192.24/192.23 [1058]~E(x10581,x10582)+E(f547(x10583,x10584,x10581,x10585),f547(x10583,x10584,x10582,x10585))
% 192.24/192.23 [1059]~E(x10591,x10592)+E(f547(x10593,x10594,x10595,x10591),f547(x10593,x10594,x10595,x10592))
% 192.24/192.23 [1060]~E(x10601,x10602)+E(f631(x10601,x10603,x10604,x10605,x10606),f631(x10602,x10603,x10604,x10605,x10606))
% 192.24/192.23 [1061]~E(x10611,x10612)+E(f631(x10613,x10611,x10614,x10615,x10616),f631(x10613,x10612,x10614,x10615,x10616))
% 192.24/192.23 [1062]~E(x10621,x10622)+E(f631(x10623,x10624,x10621,x10625,x10626),f631(x10623,x10624,x10622,x10625,x10626))
% 192.24/192.23 [1063]~E(x10631,x10632)+E(f631(x10633,x10634,x10635,x10631,x10636),f631(x10633,x10634,x10635,x10632,x10636))
% 192.24/192.23 [1064]~E(x10641,x10642)+E(f631(x10643,x10644,x10645,x10646,x10641),f631(x10643,x10644,x10645,x10646,x10642))
% 192.24/192.23 [1065]~E(x10651,x10652)+E(f496(x10651,x10653,x10654),f496(x10652,x10653,x10654))
% 192.24/192.23 [1066]~E(x10661,x10662)+E(f496(x10663,x10661,x10664),f496(x10663,x10662,x10664))
% 192.24/192.23 [1067]~E(x10671,x10672)+E(f496(x10673,x10674,x10671),f496(x10673,x10674,x10672))
% 192.24/192.23 [1068]~E(x10681,x10682)+E(f382(x10681,x10683,x10684,x10685),f382(x10682,x10683,x10684,x10685))
% 192.24/192.23 [1069]~E(x10691,x10692)+E(f382(x10693,x10691,x10694,x10695),f382(x10693,x10692,x10694,x10695))
% 192.24/192.23 [1070]~E(x10701,x10702)+E(f382(x10703,x10704,x10701,x10705),f382(x10703,x10704,x10702,x10705))
% 192.24/192.23 [1071]~E(x10711,x10712)+E(f382(x10713,x10714,x10715,x10711),f382(x10713,x10714,x10715,x10712))
% 192.24/192.23 [1072]~E(x10721,x10722)+E(f530(x10721,x10723,x10724,x10725,x10726,x10727,x10728,x10729),f530(x10722,x10723,x10724,x10725,x10726,x10727,x10728,x10729))
% 192.24/192.23 [1073]~E(x10731,x10732)+E(f530(x10733,x10731,x10734,x10735,x10736,x10737,x10738,x10739),f530(x10733,x10732,x10734,x10735,x10736,x10737,x10738,x10739))
% 192.24/192.23 [1074]~E(x10741,x10742)+E(f530(x10743,x10744,x10741,x10745,x10746,x10747,x10748,x10749),f530(x10743,x10744,x10742,x10745,x10746,x10747,x10748,x10749))
% 192.24/192.23 [1075]~E(x10751,x10752)+E(f530(x10753,x10754,x10755,x10751,x10756,x10757,x10758,x10759),f530(x10753,x10754,x10755,x10752,x10756,x10757,x10758,x10759))
% 192.24/192.23 [1076]~E(x10761,x10762)+E(f530(x10763,x10764,x10765,x10766,x10761,x10767,x10768,x10769),f530(x10763,x10764,x10765,x10766,x10762,x10767,x10768,x10769))
% 192.24/192.23 [1077]~E(x10771,x10772)+E(f530(x10773,x10774,x10775,x10776,x10777,x10771,x10778,x10779),f530(x10773,x10774,x10775,x10776,x10777,x10772,x10778,x10779))
% 192.24/192.23 [1078]~E(x10781,x10782)+E(f530(x10783,x10784,x10785,x10786,x10787,x10788,x10781,x10789),f530(x10783,x10784,x10785,x10786,x10787,x10788,x10782,x10789))
% 192.24/192.23 [1079]~E(x10791,x10792)+E(f530(x10793,x10794,x10795,x10796,x10797,x10798,x10799,x10791),f530(x10793,x10794,x10795,x10796,x10797,x10798,x10799,x10792))
% 192.24/192.23 [1080]~E(x10801,x10802)+E(f615(x10801,x10803,x10804,x10805),f615(x10802,x10803,x10804,x10805))
% 192.24/192.23 [1081]~E(x10811,x10812)+E(f615(x10813,x10811,x10814,x10815),f615(x10813,x10812,x10814,x10815))
% 192.24/192.23 [1082]~E(x10821,x10822)+E(f615(x10823,x10824,x10821,x10825),f615(x10823,x10824,x10822,x10825))
% 192.24/192.23 [1083]~E(x10831,x10832)+E(f615(x10833,x10834,x10835,x10831),f615(x10833,x10834,x10835,x10832))
% 192.24/192.23 [1084]~E(x10841,x10842)+E(f224(x10841,x10843,x10844,x10845),f224(x10842,x10843,x10844,x10845))
% 192.24/192.23 [1085]~E(x10851,x10852)+E(f224(x10853,x10851,x10854,x10855),f224(x10853,x10852,x10854,x10855))
% 192.24/192.23 [1086]~E(x10861,x10862)+E(f224(x10863,x10864,x10861,x10865),f224(x10863,x10864,x10862,x10865))
% 192.24/192.23 [1087]~E(x10871,x10872)+E(f224(x10873,x10874,x10875,x10871),f224(x10873,x10874,x10875,x10872))
% 192.24/192.23 [1088]~E(x10881,x10882)+E(f165(x10881,x10883),f165(x10882,x10883))
% 192.24/192.23 [1089]~E(x10891,x10892)+E(f165(x10893,x10891),f165(x10893,x10892))
% 192.24/192.23 [1090]~E(x10901,x10902)+E(f710(x10901,x10903,x10904,x10905),f710(x10902,x10903,x10904,x10905))
% 192.24/192.23 [1091]~E(x10911,x10912)+E(f710(x10913,x10911,x10914,x10915),f710(x10913,x10912,x10914,x10915))
% 192.24/192.23 [1092]~E(x10921,x10922)+E(f710(x10923,x10924,x10921,x10925),f710(x10923,x10924,x10922,x10925))
% 192.24/192.23 [1093]~E(x10931,x10932)+E(f710(x10933,x10934,x10935,x10931),f710(x10933,x10934,x10935,x10932))
% 192.24/192.23 [1094]~E(x10941,x10942)+E(f250(x10941,x10943,x10944),f250(x10942,x10943,x10944))
% 192.24/192.23 [1095]~E(x10951,x10952)+E(f250(x10953,x10951,x10954),f250(x10953,x10952,x10954))
% 192.24/192.23 [1096]~E(x10961,x10962)+E(f250(x10963,x10964,x10961),f250(x10963,x10964,x10962))
% 192.24/192.23 [1097]~E(x10971,x10972)+E(f888(x10971,x10973,x10974,x10975,x10976),f888(x10972,x10973,x10974,x10975,x10976))
% 192.24/192.23 [1098]~E(x10981,x10982)+E(f888(x10983,x10981,x10984,x10985,x10986),f888(x10983,x10982,x10984,x10985,x10986))
% 192.24/192.23 [1099]~E(x10991,x10992)+E(f888(x10993,x10994,x10991,x10995,x10996),f888(x10993,x10994,x10992,x10995,x10996))
% 192.24/192.23 [1100]~E(x11001,x11002)+E(f888(x11003,x11004,x11005,x11001,x11006),f888(x11003,x11004,x11005,x11002,x11006))
% 192.24/192.23 [1101]~E(x11011,x11012)+E(f888(x11013,x11014,x11015,x11016,x11011),f888(x11013,x11014,x11015,x11016,x11012))
% 192.24/192.23 [1102]~E(x11021,x11022)+E(f418(x11021,x11023,x11024),f418(x11022,x11023,x11024))
% 192.24/192.23 [1103]~E(x11031,x11032)+E(f418(x11033,x11031,x11034),f418(x11033,x11032,x11034))
% 192.24/192.23 [1104]~E(x11041,x11042)+E(f418(x11043,x11044,x11041),f418(x11043,x11044,x11042))
% 192.24/192.23 [1105]~E(x11051,x11052)+E(f817(x11051,x11053),f817(x11052,x11053))
% 192.24/192.23 [1106]~E(x11061,x11062)+E(f817(x11063,x11061),f817(x11063,x11062))
% 192.24/192.23 [1107]~E(x11071,x11072)+E(f642(x11071,x11073,x11074,x11075,x11076,x11077,x11078,x11079),f642(x11072,x11073,x11074,x11075,x11076,x11077,x11078,x11079))
% 192.24/192.23 [1108]~E(x11081,x11082)+E(f642(x11083,x11081,x11084,x11085,x11086,x11087,x11088,x11089),f642(x11083,x11082,x11084,x11085,x11086,x11087,x11088,x11089))
% 192.24/192.23 [1109]~E(x11091,x11092)+E(f642(x11093,x11094,x11091,x11095,x11096,x11097,x11098,x11099),f642(x11093,x11094,x11092,x11095,x11096,x11097,x11098,x11099))
% 192.24/192.23 [1110]~E(x11101,x11102)+E(f642(x11103,x11104,x11105,x11101,x11106,x11107,x11108,x11109),f642(x11103,x11104,x11105,x11102,x11106,x11107,x11108,x11109))
% 192.24/192.23 [1111]~E(x11111,x11112)+E(f642(x11113,x11114,x11115,x11116,x11111,x11117,x11118,x11119),f642(x11113,x11114,x11115,x11116,x11112,x11117,x11118,x11119))
% 192.24/192.23 [1112]~E(x11121,x11122)+E(f642(x11123,x11124,x11125,x11126,x11127,x11121,x11128,x11129),f642(x11123,x11124,x11125,x11126,x11127,x11122,x11128,x11129))
% 192.24/192.23 [1113]~E(x11131,x11132)+E(f642(x11133,x11134,x11135,x11136,x11137,x11138,x11131,x11139),f642(x11133,x11134,x11135,x11136,x11137,x11138,x11132,x11139))
% 192.24/192.23 [1114]~E(x11141,x11142)+E(f642(x11143,x11144,x11145,x11146,x11147,x11148,x11149,x11141),f642(x11143,x11144,x11145,x11146,x11147,x11148,x11149,x11142))
% 192.24/192.23 [1115]~E(x11151,x11152)+E(f881(x11151,x11153,x11154,x11155),f881(x11152,x11153,x11154,x11155))
% 192.24/192.23 [1116]~E(x11161,x11162)+E(f881(x11163,x11161,x11164,x11165),f881(x11163,x11162,x11164,x11165))
% 192.24/192.23 [1117]~E(x11171,x11172)+E(f881(x11173,x11174,x11171,x11175),f881(x11173,x11174,x11172,x11175))
% 192.24/192.23 [1118]~E(x11181,x11182)+E(f881(x11183,x11184,x11185,x11181),f881(x11183,x11184,x11185,x11182))
% 192.24/192.23 [1119]~E(x11191,x11192)+E(f705(x11191,x11193,x11194,x11195,x11196),f705(x11192,x11193,x11194,x11195,x11196))
% 192.24/192.23 [1120]~E(x11201,x11202)+E(f705(x11203,x11201,x11204,x11205,x11206),f705(x11203,x11202,x11204,x11205,x11206))
% 192.24/192.23 [1121]~E(x11211,x11212)+E(f705(x11213,x11214,x11211,x11215,x11216),f705(x11213,x11214,x11212,x11215,x11216))
% 192.24/192.23 [1122]~E(x11221,x11222)+E(f705(x11223,x11224,x11225,x11221,x11226),f705(x11223,x11224,x11225,x11222,x11226))
% 192.24/192.23 [1123]~E(x11231,x11232)+E(f705(x11233,x11234,x11235,x11236,x11231),f705(x11233,x11234,x11235,x11236,x11232))
% 192.24/192.23 [1124]~E(x11241,x11242)+E(f290(x11241,x11243),f290(x11242,x11243))
% 192.24/192.23 [1125]~E(x11251,x11252)+E(f290(x11253,x11251),f290(x11253,x11252))
% 192.24/192.23 [1126]~E(x11261,x11262)+E(f231(x11261,x11263),f231(x11262,x11263))
% 192.24/192.23 [1127]~E(x11271,x11272)+E(f231(x11273,x11271),f231(x11273,x11272))
% 192.24/192.23 [1128]~E(x11281,x11282)+E(f790(x11281,x11283,x11284),f790(x11282,x11283,x11284))
% 192.24/192.23 [1129]~E(x11291,x11292)+E(f790(x11293,x11291,x11294),f790(x11293,x11292,x11294))
% 192.24/192.23 [1130]~E(x11301,x11302)+E(f790(x11303,x11304,x11301),f790(x11303,x11304,x11302))
% 192.24/192.23 [1131]~E(x11311,x11312)+E(f728(x11311,x11313),f728(x11312,x11313))
% 192.24/192.23 [1132]~E(x11321,x11322)+E(f728(x11323,x11321),f728(x11323,x11322))
% 192.24/192.23 [1133]~E(x11331,x11332)+E(f719(x11331,x11333,x11334),f719(x11332,x11333,x11334))
% 192.24/192.23 [1134]~E(x11341,x11342)+E(f719(x11343,x11341,x11344),f719(x11343,x11342,x11344))
% 192.24/192.23 [1135]~E(x11351,x11352)+E(f719(x11353,x11354,x11351),f719(x11353,x11354,x11352))
% 192.24/192.23 [1136]~E(x11361,x11362)+E(f718(x11361,x11363,x11364,x11365,x11366),f718(x11362,x11363,x11364,x11365,x11366))
% 192.24/192.23 [1137]~E(x11371,x11372)+E(f718(x11373,x11371,x11374,x11375,x11376),f718(x11373,x11372,x11374,x11375,x11376))
% 192.24/192.23 [1138]~E(x11381,x11382)+E(f718(x11383,x11384,x11381,x11385,x11386),f718(x11383,x11384,x11382,x11385,x11386))
% 192.24/192.23 [1139]~E(x11391,x11392)+E(f718(x11393,x11394,x11395,x11391,x11396),f718(x11393,x11394,x11395,x11392,x11396))
% 192.24/192.23 [1140]~E(x11401,x11402)+E(f718(x11403,x11404,x11405,x11406,x11401),f718(x11403,x11404,x11405,x11406,x11402))
% 192.24/192.23 [1141]~E(x11411,x11412)+E(f706(x11411,x11413,x11414,x11415,x11416),f706(x11412,x11413,x11414,x11415,x11416))
% 192.24/192.23 [1142]~E(x11421,x11422)+E(f706(x11423,x11421,x11424,x11425,x11426),f706(x11423,x11422,x11424,x11425,x11426))
% 192.24/192.23 [1143]~E(x11431,x11432)+E(f706(x11433,x11434,x11431,x11435,x11436),f706(x11433,x11434,x11432,x11435,x11436))
% 192.24/192.23 [1144]~E(x11441,x11442)+E(f706(x11443,x11444,x11445,x11441,x11446),f706(x11443,x11444,x11445,x11442,x11446))
% 192.24/192.23 [1145]~E(x11451,x11452)+E(f706(x11453,x11454,x11455,x11456,x11451),f706(x11453,x11454,x11455,x11456,x11452))
% 192.24/192.23 [1146]~E(x11461,x11462)+E(f843(x11461,x11463,x11464),f843(x11462,x11463,x11464))
% 192.24/192.23 [1147]~E(x11471,x11472)+E(f843(x11473,x11471,x11474),f843(x11473,x11472,x11474))
% 192.24/192.23 [1148]~E(x11481,x11482)+E(f843(x11483,x11484,x11481),f843(x11483,x11484,x11482))
% 192.24/192.23 [1149]~E(x11491,x11492)+E(f132(x11491,x11493),f132(x11492,x11493))
% 192.24/192.23 [1150]~E(x11501,x11502)+E(f132(x11503,x11501),f132(x11503,x11502))
% 192.24/192.23 [1151]~E(x11511,x11512)+E(f378(x11511,x11513,x11514,x11515),f378(x11512,x11513,x11514,x11515))
% 192.24/192.23 [1152]~E(x11521,x11522)+E(f378(x11523,x11521,x11524,x11525),f378(x11523,x11522,x11524,x11525))
% 192.24/192.23 [1153]~E(x11531,x11532)+E(f378(x11533,x11534,x11531,x11535),f378(x11533,x11534,x11532,x11535))
% 192.24/192.23 [1154]~E(x11541,x11542)+E(f378(x11543,x11544,x11545,x11541),f378(x11543,x11544,x11545,x11542))
% 192.24/192.23 [1155]~E(x11551,x11552)+E(f173(x11551,x11553,x11554),f173(x11552,x11553,x11554))
% 192.24/192.23 [1156]~E(x11561,x11562)+E(f173(x11563,x11561,x11564),f173(x11563,x11562,x11564))
% 192.24/192.23 [1157]~E(x11571,x11572)+E(f173(x11573,x11574,x11571),f173(x11573,x11574,x11572))
% 192.24/192.23 [1158]~E(x11581,x11582)+E(f792(x11581,x11583,x11584),f792(x11582,x11583,x11584))
% 192.24/192.23 [1159]~E(x11591,x11592)+E(f792(x11593,x11591,x11594),f792(x11593,x11592,x11594))
% 192.24/192.23 [1160]~E(x11601,x11602)+E(f792(x11603,x11604,x11601),f792(x11603,x11604,x11602))
% 192.24/192.23 [1161]~E(x11611,x11612)+E(f883(x11611,x11613,x11614,x11615,x11616),f883(x11612,x11613,x11614,x11615,x11616))
% 192.24/192.23 [1162]~E(x11621,x11622)+E(f883(x11623,x11621,x11624,x11625,x11626),f883(x11623,x11622,x11624,x11625,x11626))
% 192.24/192.23 [1163]~E(x11631,x11632)+E(f883(x11633,x11634,x11631,x11635,x11636),f883(x11633,x11634,x11632,x11635,x11636))
% 192.24/192.23 [1164]~E(x11641,x11642)+E(f883(x11643,x11644,x11645,x11641,x11646),f883(x11643,x11644,x11645,x11642,x11646))
% 192.24/192.23 [1165]~E(x11651,x11652)+E(f883(x11653,x11654,x11655,x11656,x11651),f883(x11653,x11654,x11655,x11656,x11652))
% 192.24/192.23 [1166]~E(x11661,x11662)+E(f537(x11661,x11663,x11664,x11665),f537(x11662,x11663,x11664,x11665))
% 192.24/192.23 [1167]~E(x11671,x11672)+E(f537(x11673,x11671,x11674,x11675),f537(x11673,x11672,x11674,x11675))
% 192.24/192.23 [1168]~E(x11681,x11682)+E(f537(x11683,x11684,x11681,x11685),f537(x11683,x11684,x11682,x11685))
% 192.24/192.23 [1169]~E(x11691,x11692)+E(f537(x11693,x11694,x11695,x11691),f537(x11693,x11694,x11695,x11692))
% 192.24/192.23 [1170]~E(x11701,x11702)+E(f404(x11701,x11703,x11704,x11705,x11706),f404(x11702,x11703,x11704,x11705,x11706))
% 192.24/192.23 [1171]~E(x11711,x11712)+E(f404(x11713,x11711,x11714,x11715,x11716),f404(x11713,x11712,x11714,x11715,x11716))
% 192.24/192.23 [1172]~E(x11721,x11722)+E(f404(x11723,x11724,x11721,x11725,x11726),f404(x11723,x11724,x11722,x11725,x11726))
% 192.24/192.23 [1173]~E(x11731,x11732)+E(f404(x11733,x11734,x11735,x11731,x11736),f404(x11733,x11734,x11735,x11732,x11736))
% 192.24/192.23 [1174]~E(x11741,x11742)+E(f404(x11743,x11744,x11745,x11746,x11741),f404(x11743,x11744,x11745,x11746,x11742))
% 192.24/192.23 [1175]~E(x11751,x11752)+E(f57(x11751),f57(x11752))
% 192.24/192.23 [1176]~E(x11761,x11762)+E(f335(x11761),f335(x11762))
% 192.24/192.23 [1177]~E(x11771,x11772)+E(f402(x11771,x11773,x11774),f402(x11772,x11773,x11774))
% 192.24/192.23 [1178]~E(x11781,x11782)+E(f402(x11783,x11781,x11784),f402(x11783,x11782,x11784))
% 192.24/192.23 [1179]~E(x11791,x11792)+E(f402(x11793,x11794,x11791),f402(x11793,x11794,x11792))
% 192.24/192.23 [1180]~E(x11801,x11802)+E(f639(x11801,x11803,x11804),f639(x11802,x11803,x11804))
% 192.24/192.23 [1181]~E(x11811,x11812)+E(f639(x11813,x11811,x11814),f639(x11813,x11812,x11814))
% 192.24/192.23 [1182]~E(x11821,x11822)+E(f639(x11823,x11824,x11821),f639(x11823,x11824,x11822))
% 192.24/192.23 [1183]~E(x11831,x11832)+E(f474(x11831,x11833,x11834),f474(x11832,x11833,x11834))
% 192.24/192.23 [1184]~E(x11841,x11842)+E(f474(x11843,x11841,x11844),f474(x11843,x11842,x11844))
% 192.24/192.23 [1185]~E(x11851,x11852)+E(f474(x11853,x11854,x11851),f474(x11853,x11854,x11852))
% 192.24/192.23 [1186]~E(x11861,x11862)+E(f363(x11861,x11863,x11864),f363(x11862,x11863,x11864))
% 192.24/192.23 [1187]~E(x11871,x11872)+E(f363(x11873,x11871,x11874),f363(x11873,x11872,x11874))
% 192.24/192.23 [1188]~E(x11881,x11882)+E(f363(x11883,x11884,x11881),f363(x11883,x11884,x11882))
% 192.24/192.23 [1189]~E(x11891,x11892)+E(f343(x11891),f343(x11892))
% 192.24/192.23 [1190]~E(x11901,x11902)+E(f203(x11901,x11903),f203(x11902,x11903))
% 192.24/192.23 [1191]~E(x11911,x11912)+E(f203(x11913,x11911),f203(x11913,x11912))
% 192.24/192.23 [1192]~E(x11921,x11922)+E(f98(x11921,x11923,x11924,x11925),f98(x11922,x11923,x11924,x11925))
% 192.24/192.23 [1193]~E(x11931,x11932)+E(f98(x11933,x11931,x11934,x11935),f98(x11933,x11932,x11934,x11935))
% 192.24/192.23 [1194]~E(x11941,x11942)+E(f98(x11943,x11944,x11941,x11945),f98(x11943,x11944,x11942,x11945))
% 192.24/192.23 [1195]~E(x11951,x11952)+E(f98(x11953,x11954,x11955,x11951),f98(x11953,x11954,x11955,x11952))
% 192.24/192.23 [1196]~E(x11961,x11962)+E(f133(x11961),f133(x11962))
% 192.24/192.23 [1197]~E(x11971,x11972)+E(f461(x11971,x11973),f461(x11972,x11973))
% 192.24/192.23 [1198]~E(x11981,x11982)+E(f461(x11983,x11981),f461(x11983,x11982))
% 192.24/192.23 [1199]~E(x11991,x11992)+E(f825(x11991,x11993,x11994,x11995,x11996),f825(x11992,x11993,x11994,x11995,x11996))
% 192.24/192.23 [1200]~E(x12001,x12002)+E(f825(x12003,x12001,x12004,x12005,x12006),f825(x12003,x12002,x12004,x12005,x12006))
% 192.24/192.23 [1201]~E(x12011,x12012)+E(f825(x12013,x12014,x12011,x12015,x12016),f825(x12013,x12014,x12012,x12015,x12016))
% 192.24/192.23 [1202]~E(x12021,x12022)+E(f825(x12023,x12024,x12025,x12021,x12026),f825(x12023,x12024,x12025,x12022,x12026))
% 192.24/192.23 [1203]~E(x12031,x12032)+E(f825(x12033,x12034,x12035,x12036,x12031),f825(x12033,x12034,x12035,x12036,x12032))
% 192.24/192.23 [1204]~E(x12041,x12042)+E(f398(x12041,x12043,x12044,x12045),f398(x12042,x12043,x12044,x12045))
% 192.24/192.23 [1205]~E(x12051,x12052)+E(f398(x12053,x12051,x12054,x12055),f398(x12053,x12052,x12054,x12055))
% 192.24/192.23 [1206]~E(x12061,x12062)+E(f398(x12063,x12064,x12061,x12065),f398(x12063,x12064,x12062,x12065))
% 192.24/192.23 [1207]~E(x12071,x12072)+E(f398(x12073,x12074,x12075,x12071),f398(x12073,x12074,x12075,x12072))
% 192.24/192.23 [1208]~E(x12081,x12082)+E(f439(x12081,x12083,x12084,x12085,x12086),f439(x12082,x12083,x12084,x12085,x12086))
% 192.24/192.23 [1209]~E(x12091,x12092)+E(f439(x12093,x12091,x12094,x12095,x12096),f439(x12093,x12092,x12094,x12095,x12096))
% 192.24/192.23 [1210]~E(x12101,x12102)+E(f439(x12103,x12104,x12101,x12105,x12106),f439(x12103,x12104,x12102,x12105,x12106))
% 192.24/192.23 [1211]~E(x12111,x12112)+E(f439(x12113,x12114,x12115,x12111,x12116),f439(x12113,x12114,x12115,x12112,x12116))
% 192.24/192.23 [1212]~E(x12121,x12122)+E(f439(x12123,x12124,x12125,x12126,x12121),f439(x12123,x12124,x12125,x12126,x12122))
% 192.24/192.23 [1213]~E(x12131,x12132)+E(f713(x12131,x12133,x12134),f713(x12132,x12133,x12134))
% 192.24/192.23 [1214]~E(x12141,x12142)+E(f713(x12143,x12141,x12144),f713(x12143,x12142,x12144))
% 192.24/192.23 [1215]~E(x12151,x12152)+E(f713(x12153,x12154,x12151),f713(x12153,x12154,x12152))
% 192.24/192.23 [1216]~E(x12161,x12162)+E(f43(x12161),f43(x12162))
% 192.24/192.23 [1217]~E(x12171,x12172)+E(f807(x12171,x12173,x12174,x12175),f807(x12172,x12173,x12174,x12175))
% 192.24/192.23 [1218]~E(x12181,x12182)+E(f807(x12183,x12181,x12184,x12185),f807(x12183,x12182,x12184,x12185))
% 192.24/192.23 [1219]~E(x12191,x12192)+E(f807(x12193,x12194,x12191,x12195),f807(x12193,x12194,x12192,x12195))
% 192.24/192.23 [1220]~E(x12201,x12202)+E(f807(x12203,x12204,x12205,x12201),f807(x12203,x12204,x12205,x12202))
% 192.24/192.23 [1221]~E(x12211,x12212)+E(f788(x12211,x12213,x12214),f788(x12212,x12213,x12214))
% 192.24/192.23 [1222]~E(x12221,x12222)+E(f788(x12223,x12221,x12224),f788(x12223,x12222,x12224))
% 192.24/192.23 [1223]~E(x12231,x12232)+E(f788(x12233,x12234,x12231),f788(x12233,x12234,x12232))
% 192.24/192.23 [1224]~E(x12241,x12242)+E(f665(x12241,x12243,x12244,x12245),f665(x12242,x12243,x12244,x12245))
% 192.24/192.23 [1225]~E(x12251,x12252)+E(f665(x12253,x12251,x12254,x12255),f665(x12253,x12252,x12254,x12255))
% 192.24/192.23 [1226]~E(x12261,x12262)+E(f665(x12263,x12264,x12261,x12265),f665(x12263,x12264,x12262,x12265))
% 192.24/192.23 [1227]~E(x12271,x12272)+E(f665(x12273,x12274,x12275,x12271),f665(x12273,x12274,x12275,x12272))
% 192.24/192.23 [1228]~E(x12281,x12282)+E(f844(x12281,x12283),f844(x12282,x12283))
% 192.24/192.23 [1229]~E(x12291,x12292)+E(f844(x12293,x12291),f844(x12293,x12292))
% 192.24/192.23 [1230]~E(x12301,x12302)+E(f494(x12301,x12303,x12304),f494(x12302,x12303,x12304))
% 192.24/192.23 [1231]~E(x12311,x12312)+E(f494(x12313,x12311,x12314),f494(x12313,x12312,x12314))
% 192.24/192.23 [1232]~E(x12321,x12322)+E(f494(x12323,x12324,x12321),f494(x12323,x12324,x12322))
% 192.24/192.23 [1233]~E(x12331,x12332)+E(f281(x12331),f281(x12332))
% 192.24/192.23 [1234]~E(x12341,x12342)+E(f661(x12341,x12343,x12344),f661(x12342,x12343,x12344))
% 192.24/192.23 [1235]~E(x12351,x12352)+E(f661(x12353,x12351,x12354),f661(x12353,x12352,x12354))
% 192.24/192.23 [1236]~E(x12361,x12362)+E(f661(x12363,x12364,x12361),f661(x12363,x12364,x12362))
% 192.24/192.23 [1237]~E(x12371,x12372)+E(f188(x12371,x12373,x12374,x12375),f188(x12372,x12373,x12374,x12375))
% 192.24/192.23 [1238]~E(x12381,x12382)+E(f188(x12383,x12381,x12384,x12385),f188(x12383,x12382,x12384,x12385))
% 192.24/192.23 [1239]~E(x12391,x12392)+E(f188(x12393,x12394,x12391,x12395),f188(x12393,x12394,x12392,x12395))
% 192.24/192.23 [1240]~E(x12401,x12402)+E(f188(x12403,x12404,x12405,x12401),f188(x12403,x12404,x12405,x12402))
% 192.24/192.23 [1241]~E(x12411,x12412)+E(f654(x12411,x12413,x12414,x12415),f654(x12412,x12413,x12414,x12415))
% 192.24/192.23 [1242]~E(x12421,x12422)+E(f654(x12423,x12421,x12424,x12425),f654(x12423,x12422,x12424,x12425))
% 192.24/192.23 [1243]~E(x12431,x12432)+E(f654(x12433,x12434,x12431,x12435),f654(x12433,x12434,x12432,x12435))
% 192.24/192.23 [1244]~E(x12441,x12442)+E(f654(x12443,x12444,x12445,x12441),f654(x12443,x12444,x12445,x12442))
% 192.24/192.23 [1245]~E(x12451,x12452)+E(f121(x12451,x12453,x12454),f121(x12452,x12453,x12454))
% 192.24/192.23 [1246]~E(x12461,x12462)+E(f121(x12463,x12461,x12464),f121(x12463,x12462,x12464))
% 192.24/192.23 [1247]~E(x12471,x12472)+E(f121(x12473,x12474,x12471),f121(x12473,x12474,x12472))
% 192.24/192.23 [1248]~E(x12481,x12482)+E(f541(x12481,x12483),f541(x12482,x12483))
% 192.24/192.23 [1249]~E(x12491,x12492)+E(f541(x12493,x12491),f541(x12493,x12492))
% 192.24/192.23 [1250]~E(x12501,x12502)+E(f862(x12501,x12503,x12504),f862(x12502,x12503,x12504))
% 192.24/192.23 [1251]~E(x12511,x12512)+E(f862(x12513,x12511,x12514),f862(x12513,x12512,x12514))
% 192.24/192.23 [1252]~E(x12521,x12522)+E(f862(x12523,x12524,x12521),f862(x12523,x12524,x12522))
% 192.24/192.23 [1253]~E(x12531,x12532)+E(f258(x12531,x12533,x12534,x12535,x12536),f258(x12532,x12533,x12534,x12535,x12536))
% 192.24/192.23 [1254]~E(x12541,x12542)+E(f258(x12543,x12541,x12544,x12545,x12546),f258(x12543,x12542,x12544,x12545,x12546))
% 192.24/192.23 [1255]~E(x12551,x12552)+E(f258(x12553,x12554,x12551,x12555,x12556),f258(x12553,x12554,x12552,x12555,x12556))
% 192.24/192.23 [1256]~E(x12561,x12562)+E(f258(x12563,x12564,x12565,x12561,x12566),f258(x12563,x12564,x12565,x12562,x12566))
% 192.24/192.23 [1257]~E(x12571,x12572)+E(f258(x12573,x12574,x12575,x12576,x12571),f258(x12573,x12574,x12575,x12576,x12572))
% 192.24/192.23 [1258]~E(x12581,x12582)+E(f55(x12581,x12583),f55(x12582,x12583))
% 192.24/192.23 [1259]~E(x12591,x12592)+E(f55(x12593,x12591),f55(x12593,x12592))
% 192.24/192.23 [1260]~E(x12601,x12602)+E(f44(x12601),f44(x12602))
% 192.24/192.23 [1261]~E(x12611,x12612)+E(f729(x12611,x12613),f729(x12612,x12613))
% 192.24/192.23 [1262]~E(x12621,x12622)+E(f729(x12623,x12621),f729(x12623,x12622))
% 192.24/192.23 [1263]~E(x12631,x12632)+E(f456(x12631,x12633),f456(x12632,x12633))
% 192.24/192.23 [1264]~E(x12641,x12642)+E(f456(x12643,x12641),f456(x12643,x12642))
% 192.24/192.23 [1265]~E(x12651,x12652)+E(f595(x12651,x12653,x12654,x12655,x12656,x12657,x12658,x12659),f595(x12652,x12653,x12654,x12655,x12656,x12657,x12658,x12659))
% 192.24/192.23 [1266]~E(x12661,x12662)+E(f595(x12663,x12661,x12664,x12665,x12666,x12667,x12668,x12669),f595(x12663,x12662,x12664,x12665,x12666,x12667,x12668,x12669))
% 192.24/192.23 [1267]~E(x12671,x12672)+E(f595(x12673,x12674,x12671,x12675,x12676,x12677,x12678,x12679),f595(x12673,x12674,x12672,x12675,x12676,x12677,x12678,x12679))
% 192.24/192.23 [1268]~E(x12681,x12682)+E(f595(x12683,x12684,x12685,x12681,x12686,x12687,x12688,x12689),f595(x12683,x12684,x12685,x12682,x12686,x12687,x12688,x12689))
% 192.24/192.23 [1269]~E(x12691,x12692)+E(f595(x12693,x12694,x12695,x12696,x12691,x12697,x12698,x12699),f595(x12693,x12694,x12695,x12696,x12692,x12697,x12698,x12699))
% 192.24/192.23 [1270]~E(x12701,x12702)+E(f595(x12703,x12704,x12705,x12706,x12707,x12701,x12708,x12709),f595(x12703,x12704,x12705,x12706,x12707,x12702,x12708,x12709))
% 192.24/192.23 [1271]~E(x12711,x12712)+E(f595(x12713,x12714,x12715,x12716,x12717,x12718,x12711,x12719),f595(x12713,x12714,x12715,x12716,x12717,x12718,x12712,x12719))
% 192.24/192.23 [1272]~E(x12721,x12722)+E(f595(x12723,x12724,x12725,x12726,x12727,x12728,x12729,x12721),f595(x12723,x12724,x12725,x12726,x12727,x12728,x12729,x12722))
% 192.24/192.23 [1273]~E(x12731,x12732)+E(f611(x12731,x12733),f611(x12732,x12733))
% 192.24/192.23 [1274]~E(x12741,x12742)+E(f611(x12743,x12741),f611(x12743,x12742))
% 192.24/192.23 [1275]~E(x12751,x12752)+E(f845(x12751,x12753),f845(x12752,x12753))
% 192.24/192.23 [1276]~E(x12761,x12762)+E(f845(x12763,x12761),f845(x12763,x12762))
% 192.24/192.23 [1277]~E(x12771,x12772)+E(f341(x12771,x12773),f341(x12772,x12773))
% 192.24/192.23 [1278]~E(x12781,x12782)+E(f341(x12783,x12781),f341(x12783,x12782))
% 192.24/192.23 [1279]~E(x12791,x12792)+E(f840(x12791,x12793,x12794,x12795,x12796,x12797),f840(x12792,x12793,x12794,x12795,x12796,x12797))
% 192.24/192.23 [1280]~E(x12801,x12802)+E(f840(x12803,x12801,x12804,x12805,x12806,x12807),f840(x12803,x12802,x12804,x12805,x12806,x12807))
% 192.24/192.23 [1281]~E(x12811,x12812)+E(f840(x12813,x12814,x12811,x12815,x12816,x12817),f840(x12813,x12814,x12812,x12815,x12816,x12817))
% 192.24/192.23 [1282]~E(x12821,x12822)+E(f840(x12823,x12824,x12825,x12821,x12826,x12827),f840(x12823,x12824,x12825,x12822,x12826,x12827))
% 192.24/192.23 [1283]~E(x12831,x12832)+E(f840(x12833,x12834,x12835,x12836,x12831,x12837),f840(x12833,x12834,x12835,x12836,x12832,x12837))
% 192.24/192.23 [1284]~E(x12841,x12842)+E(f840(x12843,x12844,x12845,x12846,x12847,x12841),f840(x12843,x12844,x12845,x12846,x12847,x12842))
% 192.24/192.23 [1285]~E(x12851,x12852)+E(f764(x12851,x12853,x12854,x12855),f764(x12852,x12853,x12854,x12855))
% 192.24/192.23 [1286]~E(x12861,x12862)+E(f764(x12863,x12861,x12864,x12865),f764(x12863,x12862,x12864,x12865))
% 192.24/192.23 [1287]~E(x12871,x12872)+E(f764(x12873,x12874,x12871,x12875),f764(x12873,x12874,x12872,x12875))
% 192.24/192.23 [1288]~E(x12881,x12882)+E(f764(x12883,x12884,x12885,x12881),f764(x12883,x12884,x12885,x12882))
% 192.24/192.23 [1289]~E(x12891,x12892)+E(f512(x12891,x12893,x12894),f512(x12892,x12893,x12894))
% 192.24/192.23 [1290]~E(x12901,x12902)+E(f512(x12903,x12901,x12904),f512(x12903,x12902,x12904))
% 192.24/192.23 [1291]~E(x12911,x12912)+E(f512(x12913,x12914,x12911),f512(x12913,x12914,x12912))
% 192.24/192.23 [1292]~E(x12921,x12922)+E(f166(x12921,x12923,x12924,x12925),f166(x12922,x12923,x12924,x12925))
% 192.24/192.23 [1293]~E(x12931,x12932)+E(f166(x12933,x12931,x12934,x12935),f166(x12933,x12932,x12934,x12935))
% 192.24/192.23 [1294]~E(x12941,x12942)+E(f166(x12943,x12944,x12941,x12945),f166(x12943,x12944,x12942,x12945))
% 192.24/192.23 [1295]~E(x12951,x12952)+E(f166(x12953,x12954,x12955,x12951),f166(x12953,x12954,x12955,x12952))
% 192.24/192.23 [1296]~E(x12961,x12962)+E(f743(x12961,x12963),f743(x12962,x12963))
% 192.24/192.23 [1297]~E(x12971,x12972)+E(f743(x12973,x12971),f743(x12973,x12972))
% 192.24/192.23 [1298]~E(x12981,x12982)+E(f513(x12981,x12983,x12984,x12985),f513(x12982,x12983,x12984,x12985))
% 192.24/192.23 [1299]~E(x12991,x12992)+E(f513(x12993,x12991,x12994,x12995),f513(x12993,x12992,x12994,x12995))
% 192.24/192.23 [1300]~E(x13001,x13002)+E(f513(x13003,x13004,x13001,x13005),f513(x13003,x13004,x13002,x13005))
% 192.24/192.23 [1301]~E(x13011,x13012)+E(f513(x13013,x13014,x13015,x13011),f513(x13013,x13014,x13015,x13012))
% 192.24/192.23 [1302]~E(x13021,x13022)+E(f389(x13021,x13023,x13024,x13025),f389(x13022,x13023,x13024,x13025))
% 192.24/192.23 [1303]~E(x13031,x13032)+E(f389(x13033,x13031,x13034,x13035),f389(x13033,x13032,x13034,x13035))
% 192.24/192.23 [1304]~E(x13041,x13042)+E(f389(x13043,x13044,x13041,x13045),f389(x13043,x13044,x13042,x13045))
% 192.24/192.23 [1305]~E(x13051,x13052)+E(f389(x13053,x13054,x13055,x13051),f389(x13053,x13054,x13055,x13052))
% 192.24/192.23 [1306]~E(x13061,x13062)+E(f810(x13061,x13063,x13064,x13065),f810(x13062,x13063,x13064,x13065))
% 192.24/192.23 [1307]~E(x13071,x13072)+E(f810(x13073,x13071,x13074,x13075),f810(x13073,x13072,x13074,x13075))
% 192.24/192.23 [1308]~E(x13081,x13082)+E(f810(x13083,x13084,x13081,x13085),f810(x13083,x13084,x13082,x13085))
% 192.24/192.23 [1309]~E(x13091,x13092)+E(f810(x13093,x13094,x13095,x13091),f810(x13093,x13094,x13095,x13092))
% 192.24/192.23 [1310]~E(x13101,x13102)+E(f359(x13101),f359(x13102))
% 192.24/192.23 [1311]~E(x13111,x13112)+E(f273(x13111,x13113),f273(x13112,x13113))
% 192.24/192.23 [1312]~E(x13121,x13122)+E(f273(x13123,x13121),f273(x13123,x13122))
% 192.24/192.23 [1313]~E(x13131,x13132)+E(f205(x13131),f205(x13132))
% 192.24/192.23 [1314]~E(x13141,x13142)+E(f362(x13141,x13143),f362(x13142,x13143))
% 192.24/192.23 [1315]~E(x13151,x13152)+E(f362(x13153,x13151),f362(x13153,x13152))
% 192.24/192.23 [1316]~E(x13161,x13162)+E(f796(x13161,x13163,x13164,x13165),f796(x13162,x13163,x13164,x13165))
% 192.24/192.23 [1317]~E(x13171,x13172)+E(f796(x13173,x13171,x13174,x13175),f796(x13173,x13172,x13174,x13175))
% 192.24/192.23 [1318]~E(x13181,x13182)+E(f796(x13183,x13184,x13181,x13185),f796(x13183,x13184,x13182,x13185))
% 192.24/192.23 [1319]~E(x13191,x13192)+E(f796(x13193,x13194,x13195,x13191),f796(x13193,x13194,x13195,x13192))
% 192.24/192.23 [1320]~E(x13201,x13202)+E(f492(x13201,x13203,x13204),f492(x13202,x13203,x13204))
% 192.24/192.23 [1321]~E(x13211,x13212)+E(f492(x13213,x13211,x13214),f492(x13213,x13212,x13214))
% 192.24/192.23 [1322]~E(x13221,x13222)+E(f492(x13223,x13224,x13221),f492(x13223,x13224,x13222))
% 192.24/192.23 [1323]~E(x13231,x13232)+E(f558(x13231,x13233,x13234),f558(x13232,x13233,x13234))
% 192.24/192.23 [1324]~E(x13241,x13242)+E(f558(x13243,x13241,x13244),f558(x13243,x13242,x13244))
% 192.24/192.23 [1325]~E(x13251,x13252)+E(f558(x13253,x13254,x13251),f558(x13253,x13254,x13252))
% 192.24/192.23 [1326]~E(x13261,x13262)+E(f791(x13261,x13263,x13264),f791(x13262,x13263,x13264))
% 192.24/192.23 [1327]~E(x13271,x13272)+E(f791(x13273,x13271,x13274),f791(x13273,x13272,x13274))
% 192.24/192.23 [1328]~E(x13281,x13282)+E(f791(x13283,x13284,x13281),f791(x13283,x13284,x13282))
% 192.24/192.23 [1329]~E(x13291,x13292)+E(f627(x13291,x13293,x13294,x13295),f627(x13292,x13293,x13294,x13295))
% 192.24/192.23 [1330]~E(x13301,x13302)+E(f627(x13303,x13301,x13304,x13305),f627(x13303,x13302,x13304,x13305))
% 192.24/192.23 [1331]~E(x13311,x13312)+E(f627(x13313,x13314,x13311,x13315),f627(x13313,x13314,x13312,x13315))
% 192.24/192.23 [1332]~E(x13321,x13322)+E(f627(x13323,x13324,x13325,x13321),f627(x13323,x13324,x13325,x13322))
% 192.24/192.23 [1333]~E(x13331,x13332)+E(f509(x13331),f509(x13332))
% 192.24/192.23 [1334]~E(x13341,x13342)+E(f586(x13341,x13343,x13344),f586(x13342,x13343,x13344))
% 192.24/192.23 [1335]~E(x13351,x13352)+E(f586(x13353,x13351,x13354),f586(x13353,x13352,x13354))
% 192.24/192.23 [1336]~E(x13361,x13362)+E(f586(x13363,x13364,x13361),f586(x13363,x13364,x13362))
% 192.24/192.23 [1337]~E(x13371,x13372)+E(f130(x13371,x13373,x13374),f130(x13372,x13373,x13374))
% 192.24/192.23 [1338]~E(x13381,x13382)+E(f130(x13383,x13381,x13384),f130(x13383,x13382,x13384))
% 192.24/192.23 [1339]~E(x13391,x13392)+E(f130(x13393,x13394,x13391),f130(x13393,x13394,x13392))
% 192.24/192.23 [1340]~E(x13401,x13402)+E(f434(x13401,x13403,x13404,x13405),f434(x13402,x13403,x13404,x13405))
% 192.24/192.23 [1341]~E(x13411,x13412)+E(f434(x13413,x13411,x13414,x13415),f434(x13413,x13412,x13414,x13415))
% 192.24/192.23 [1342]~E(x13421,x13422)+E(f434(x13423,x13424,x13421,x13425),f434(x13423,x13424,x13422,x13425))
% 192.24/192.23 [1343]~E(x13431,x13432)+E(f434(x13433,x13434,x13435,x13431),f434(x13433,x13434,x13435,x13432))
% 192.24/192.23 [1344]~E(x13441,x13442)+E(f556(x13441,x13443,x13444,x13445),f556(x13442,x13443,x13444,x13445))
% 192.24/192.23 [1345]~E(x13451,x13452)+E(f556(x13453,x13451,x13454,x13455),f556(x13453,x13452,x13454,x13455))
% 192.24/192.23 [1346]~E(x13461,x13462)+E(f556(x13463,x13464,x13461,x13465),f556(x13463,x13464,x13462,x13465))
% 192.24/192.23 [1347]~E(x13471,x13472)+E(f556(x13473,x13474,x13475,x13471),f556(x13473,x13474,x13475,x13472))
% 192.24/192.23 [1348]~E(x13481,x13482)+E(f407(x13481,x13483,x13484),f407(x13482,x13483,x13484))
% 192.24/192.23 [1349]~E(x13491,x13492)+E(f407(x13493,x13491,x13494),f407(x13493,x13492,x13494))
% 192.24/192.23 [1350]~E(x13501,x13502)+E(f407(x13503,x13504,x13501),f407(x13503,x13504,x13502))
% 192.24/192.23 [1351]~E(x13511,x13512)+E(f573(x13511,x13513,x13514,x13515),f573(x13512,x13513,x13514,x13515))
% 192.24/192.23 [1352]~E(x13521,x13522)+E(f573(x13523,x13521,x13524,x13525),f573(x13523,x13522,x13524,x13525))
% 192.24/192.23 [1353]~E(x13531,x13532)+E(f573(x13533,x13534,x13531,x13535),f573(x13533,x13534,x13532,x13535))
% 192.24/192.23 [1354]~E(x13541,x13542)+E(f573(x13543,x13544,x13545,x13541),f573(x13543,x13544,x13545,x13542))
% 192.24/192.23 [1355]~E(x13551,x13552)+E(f822(x13551,x13553,x13554),f822(x13552,x13553,x13554))
% 192.24/192.23 [1356]~E(x13561,x13562)+E(f822(x13563,x13561,x13564),f822(x13563,x13562,x13564))
% 192.24/192.23 [1357]~E(x13571,x13572)+E(f822(x13573,x13574,x13571),f822(x13573,x13574,x13572))
% 192.24/192.23 [1358]~E(x13581,x13582)+E(f707(x13581,x13583,x13584,x13585),f707(x13582,x13583,x13584,x13585))
% 192.24/192.23 [1359]~E(x13591,x13592)+E(f707(x13593,x13591,x13594,x13595),f707(x13593,x13592,x13594,x13595))
% 192.24/192.23 [1360]~E(x13601,x13602)+E(f707(x13603,x13604,x13601,x13605),f707(x13603,x13604,x13602,x13605))
% 192.24/192.23 [1361]~E(x13611,x13612)+E(f707(x13613,x13614,x13615,x13611),f707(x13613,x13614,x13615,x13612))
% 192.24/192.23 [1362]~E(x13621,x13622)+E(f200(x13621,x13623,x13624,x13625),f200(x13622,x13623,x13624,x13625))
% 192.24/192.23 [1363]~E(x13631,x13632)+E(f200(x13633,x13631,x13634,x13635),f200(x13633,x13632,x13634,x13635))
% 192.24/192.23 [1364]~E(x13641,x13642)+E(f200(x13643,x13644,x13641,x13645),f200(x13643,x13644,x13642,x13645))
% 192.24/192.23 [1365]~E(x13651,x13652)+E(f200(x13653,x13654,x13655,x13651),f200(x13653,x13654,x13655,x13652))
% 192.24/192.23 [1366]~E(x13661,x13662)+E(f652(x13661,x13663,x13664,x13665,x13666,x13667),f652(x13662,x13663,x13664,x13665,x13666,x13667))
% 192.24/192.23 [1367]~E(x13671,x13672)+E(f652(x13673,x13671,x13674,x13675,x13676,x13677),f652(x13673,x13672,x13674,x13675,x13676,x13677))
% 192.24/192.23 [1368]~E(x13681,x13682)+E(f652(x13683,x13684,x13681,x13685,x13686,x13687),f652(x13683,x13684,x13682,x13685,x13686,x13687))
% 192.24/192.23 [1369]~E(x13691,x13692)+E(f652(x13693,x13694,x13695,x13691,x13696,x13697),f652(x13693,x13694,x13695,x13692,x13696,x13697))
% 192.24/192.23 [1370]~E(x13701,x13702)+E(f652(x13703,x13704,x13705,x13706,x13701,x13707),f652(x13703,x13704,x13705,x13706,x13702,x13707))
% 192.24/192.23 [1371]~E(x13711,x13712)+E(f652(x13713,x13714,x13715,x13716,x13717,x13711),f652(x13713,x13714,x13715,x13716,x13717,x13712))
% 192.24/192.23 [1372]~E(x13721,x13722)+E(f531(x13721,x13723,x13724,x13725),f531(x13722,x13723,x13724,x13725))
% 192.24/192.23 [1373]~E(x13731,x13732)+E(f531(x13733,x13731,x13734,x13735),f531(x13733,x13732,x13734,x13735))
% 192.24/192.23 [1374]~E(x13741,x13742)+E(f531(x13743,x13744,x13741,x13745),f531(x13743,x13744,x13742,x13745))
% 192.24/192.23 [1375]~E(x13751,x13752)+E(f531(x13753,x13754,x13755,x13751),f531(x13753,x13754,x13755,x13752))
% 192.24/192.23 [1376]~E(x13761,x13762)+E(f550(x13761,x13763,x13764,x13765,x13766),f550(x13762,x13763,x13764,x13765,x13766))
% 192.24/192.23 [1377]~E(x13771,x13772)+E(f550(x13773,x13771,x13774,x13775,x13776),f550(x13773,x13772,x13774,x13775,x13776))
% 192.24/192.23 [1378]~E(x13781,x13782)+E(f550(x13783,x13784,x13781,x13785,x13786),f550(x13783,x13784,x13782,x13785,x13786))
% 192.24/192.23 [1379]~E(x13791,x13792)+E(f550(x13793,x13794,x13795,x13791,x13796),f550(x13793,x13794,x13795,x13792,x13796))
% 192.24/192.23 [1380]~E(x13801,x13802)+E(f550(x13803,x13804,x13805,x13806,x13801),f550(x13803,x13804,x13805,x13806,x13802))
% 192.24/192.23 [1381]~E(x13811,x13812)+E(f391(x13811,x13813,x13814,x13815),f391(x13812,x13813,x13814,x13815))
% 192.24/192.23 [1382]~E(x13821,x13822)+E(f391(x13823,x13821,x13824,x13825),f391(x13823,x13822,x13824,x13825))
% 192.24/192.23 [1383]~E(x13831,x13832)+E(f391(x13833,x13834,x13831,x13835),f391(x13833,x13834,x13832,x13835))
% 192.24/192.23 [1384]~E(x13841,x13842)+E(f391(x13843,x13844,x13845,x13841),f391(x13843,x13844,x13845,x13842))
% 192.24/192.23 [1385]~E(x13851,x13852)+E(f143(x13851,x13853,x13854),f143(x13852,x13853,x13854))
% 192.24/192.23 [1386]~E(x13861,x13862)+E(f143(x13863,x13861,x13864),f143(x13863,x13862,x13864))
% 192.24/192.23 [1387]~E(x13871,x13872)+E(f143(x13873,x13874,x13871),f143(x13873,x13874,x13872))
% 192.24/192.23 [1388]~E(x13881,x13882)+E(f646(x13881,x13883,x13884),f646(x13882,x13883,x13884))
% 192.24/192.23 [1389]~E(x13891,x13892)+E(f646(x13893,x13891,x13894),f646(x13893,x13892,x13894))
% 192.24/192.23 [1390]~E(x13901,x13902)+E(f646(x13903,x13904,x13901),f646(x13903,x13904,x13902))
% 192.24/192.23 [1391]~E(x13911,x13912)+E(f293(x13911,x13913),f293(x13912,x13913))
% 192.24/192.23 [1392]~E(x13921,x13922)+E(f293(x13923,x13921),f293(x13923,x13922))
% 192.24/192.23 [1393]~E(x13931,x13932)+E(f417(x13931,x13933,x13934,x13935,x13936),f417(x13932,x13933,x13934,x13935,x13936))
% 192.24/192.23 [1394]~E(x13941,x13942)+E(f417(x13943,x13941,x13944,x13945,x13946),f417(x13943,x13942,x13944,x13945,x13946))
% 192.24/192.23 [1395]~E(x13951,x13952)+E(f417(x13953,x13954,x13951,x13955,x13956),f417(x13953,x13954,x13952,x13955,x13956))
% 192.24/192.23 [1396]~E(x13961,x13962)+E(f417(x13963,x13964,x13965,x13961,x13966),f417(x13963,x13964,x13965,x13962,x13966))
% 192.24/192.23 [1397]~E(x13971,x13972)+E(f417(x13973,x13974,x13975,x13976,x13971),f417(x13973,x13974,x13975,x13976,x13972))
% 192.24/192.23 [1398]~E(x13981,x13982)+E(f158(x13981,x13983,x13984),f158(x13982,x13983,x13984))
% 192.24/192.23 [1399]~E(x13991,x13992)+E(f158(x13993,x13991,x13994),f158(x13993,x13992,x13994))
% 192.24/192.23 [1400]~E(x14001,x14002)+E(f158(x14003,x14004,x14001),f158(x14003,x14004,x14002))
% 192.24/192.23 [1401]~E(x14011,x14012)+E(f479(x14011,x14013,x14014,x14015),f479(x14012,x14013,x14014,x14015))
% 192.24/192.23 [1402]~E(x14021,x14022)+E(f479(x14023,x14021,x14024,x14025),f479(x14023,x14022,x14024,x14025))
% 192.24/192.23 [1403]~E(x14031,x14032)+E(f479(x14033,x14034,x14031,x14035),f479(x14033,x14034,x14032,x14035))
% 192.24/192.23 [1404]~E(x14041,x14042)+E(f479(x14043,x14044,x14045,x14041),f479(x14043,x14044,x14045,x14042))
% 192.24/192.23 [1405]~E(x14051,x14052)+E(f759(x14051,x14053,x14054,x14055,x14056),f759(x14052,x14053,x14054,x14055,x14056))
% 192.24/192.23 [1406]~E(x14061,x14062)+E(f759(x14063,x14061,x14064,x14065,x14066),f759(x14063,x14062,x14064,x14065,x14066))
% 192.24/192.23 [1407]~E(x14071,x14072)+E(f759(x14073,x14074,x14071,x14075,x14076),f759(x14073,x14074,x14072,x14075,x14076))
% 192.24/192.23 [1408]~E(x14081,x14082)+E(f759(x14083,x14084,x14085,x14081,x14086),f759(x14083,x14084,x14085,x14082,x14086))
% 192.24/192.23 [1409]~E(x14091,x14092)+E(f759(x14093,x14094,x14095,x14096,x14091),f759(x14093,x14094,x14095,x14096,x14092))
% 192.24/192.23 [1410]~E(x14101,x14102)+E(f653(x14101,x14103,x14104,x14105,x14106,x14107,x14108),f653(x14102,x14103,x14104,x14105,x14106,x14107,x14108))
% 192.24/192.23 [1411]~E(x14111,x14112)+E(f653(x14113,x14111,x14114,x14115,x14116,x14117,x14118),f653(x14113,x14112,x14114,x14115,x14116,x14117,x14118))
% 192.24/192.23 [1412]~E(x14121,x14122)+E(f653(x14123,x14124,x14121,x14125,x14126,x14127,x14128),f653(x14123,x14124,x14122,x14125,x14126,x14127,x14128))
% 192.24/192.23 [1413]~E(x14131,x14132)+E(f653(x14133,x14134,x14135,x14131,x14136,x14137,x14138),f653(x14133,x14134,x14135,x14132,x14136,x14137,x14138))
% 192.24/192.23 [1414]~E(x14141,x14142)+E(f653(x14143,x14144,x14145,x14146,x14141,x14147,x14148),f653(x14143,x14144,x14145,x14146,x14142,x14147,x14148))
% 192.24/192.23 [1415]~E(x14151,x14152)+E(f653(x14153,x14154,x14155,x14156,x14157,x14151,x14158),f653(x14153,x14154,x14155,x14156,x14157,x14152,x14158))
% 192.24/192.23 [1416]~E(x14161,x14162)+E(f653(x14163,x14164,x14165,x14166,x14167,x14168,x14161),f653(x14163,x14164,x14165,x14166,x14167,x14168,x14162))
% 192.24/192.23 [1417]~E(x14171,x14172)+E(f533(x14171,x14173,x14174,x14175),f533(x14172,x14173,x14174,x14175))
% 192.24/192.23 [1418]~E(x14181,x14182)+E(f533(x14183,x14181,x14184,x14185),f533(x14183,x14182,x14184,x14185))
% 192.24/192.23 [1419]~E(x14191,x14192)+E(f533(x14193,x14194,x14191,x14195),f533(x14193,x14194,x14192,x14195))
% 192.24/192.23 [1420]~E(x14201,x14202)+E(f533(x14203,x14204,x14205,x14201),f533(x14203,x14204,x14205,x14202))
% 192.24/192.23 [1421]~E(x14211,x14212)+E(f678(x14211,x14213,x14214,x14215,x14216),f678(x14212,x14213,x14214,x14215,x14216))
% 192.24/192.23 [1422]~E(x14221,x14222)+E(f678(x14223,x14221,x14224,x14225,x14226),f678(x14223,x14222,x14224,x14225,x14226))
% 192.24/192.23 [1423]~E(x14231,x14232)+E(f678(x14233,x14234,x14231,x14235,x14236),f678(x14233,x14234,x14232,x14235,x14236))
% 192.24/192.23 [1424]~E(x14241,x14242)+E(f678(x14243,x14244,x14245,x14241,x14246),f678(x14243,x14244,x14245,x14242,x14246))
% 192.24/192.23 [1425]~E(x14251,x14252)+E(f678(x14253,x14254,x14255,x14256,x14251),f678(x14253,x14254,x14255,x14256,x14252))
% 192.24/192.23 [1426]~E(x14261,x14262)+E(f321(x14261,x14263,x14264,x14265),f321(x14262,x14263,x14264,x14265))
% 192.24/192.23 [1427]~E(x14271,x14272)+E(f321(x14273,x14271,x14274,x14275),f321(x14273,x14272,x14274,x14275))
% 192.24/192.23 [1428]~E(x14281,x14282)+E(f321(x14283,x14284,x14281,x14285),f321(x14283,x14284,x14282,x14285))
% 192.24/192.23 [1429]~E(x14291,x14292)+E(f321(x14293,x14294,x14295,x14291),f321(x14293,x14294,x14295,x14292))
% 192.24/192.23 [1430]~E(x14301,x14302)+E(f432(x14301,x14303,x14304,x14305,x14306,x14307),f432(x14302,x14303,x14304,x14305,x14306,x14307))
% 192.24/192.23 [1431]~E(x14311,x14312)+E(f432(x14313,x14311,x14314,x14315,x14316,x14317),f432(x14313,x14312,x14314,x14315,x14316,x14317))
% 192.24/192.23 [1432]~E(x14321,x14322)+E(f432(x14323,x14324,x14321,x14325,x14326,x14327),f432(x14323,x14324,x14322,x14325,x14326,x14327))
% 192.24/192.23 [1433]~E(x14331,x14332)+E(f432(x14333,x14334,x14335,x14331,x14336,x14337),f432(x14333,x14334,x14335,x14332,x14336,x14337))
% 192.24/192.23 [1434]~E(x14341,x14342)+E(f432(x14343,x14344,x14345,x14346,x14341,x14347),f432(x14343,x14344,x14345,x14346,x14342,x14347))
% 192.24/192.23 [1435]~E(x14351,x14352)+E(f432(x14353,x14354,x14355,x14356,x14357,x14351),f432(x14353,x14354,x14355,x14356,x14357,x14352))
% 192.24/192.23 [1436]~E(x14361,x14362)+E(f598(x14361,x14363,x14364),f598(x14362,x14363,x14364))
% 192.24/192.23 [1437]~E(x14371,x14372)+E(f598(x14373,x14371,x14374),f598(x14373,x14372,x14374))
% 192.24/192.23 [1438]~E(x14381,x14382)+E(f598(x14383,x14384,x14381),f598(x14383,x14384,x14382))
% 192.24/192.23 [1439]~E(x14391,x14392)+E(f623(x14391,x14393,x14394,x14395,x14396),f623(x14392,x14393,x14394,x14395,x14396))
% 192.24/192.23 [1440]~E(x14401,x14402)+E(f623(x14403,x14401,x14404,x14405,x14406),f623(x14403,x14402,x14404,x14405,x14406))
% 192.24/192.23 [1441]~E(x14411,x14412)+E(f623(x14413,x14414,x14411,x14415,x14416),f623(x14413,x14414,x14412,x14415,x14416))
% 192.24/192.23 [1442]~E(x14421,x14422)+E(f623(x14423,x14424,x14425,x14421,x14426),f623(x14423,x14424,x14425,x14422,x14426))
% 192.24/192.23 [1443]~E(x14431,x14432)+E(f623(x14433,x14434,x14435,x14436,x14431),f623(x14433,x14434,x14435,x14436,x14432))
% 192.24/192.23 [1444]~E(x14441,x14442)+E(f872(x14441,x14443,x14444,x14445,x14446),f872(x14442,x14443,x14444,x14445,x14446))
% 192.24/192.23 [1445]~E(x14451,x14452)+E(f872(x14453,x14451,x14454,x14455,x14456),f872(x14453,x14452,x14454,x14455,x14456))
% 192.24/192.23 [1446]~E(x14461,x14462)+E(f872(x14463,x14464,x14461,x14465,x14466),f872(x14463,x14464,x14462,x14465,x14466))
% 192.24/192.23 [1447]~E(x14471,x14472)+E(f872(x14473,x14474,x14475,x14471,x14476),f872(x14473,x14474,x14475,x14472,x14476))
% 192.24/192.23 [1448]~E(x14481,x14482)+E(f872(x14483,x14484,x14485,x14486,x14481),f872(x14483,x14484,x14485,x14486,x14482))
% 192.24/192.23 [1449]~E(x14491,x14492)+E(f384(x14491,x14493,x14494,x14495),f384(x14492,x14493,x14494,x14495))
% 192.24/192.23 [1450]~E(x14501,x14502)+E(f384(x14503,x14501,x14504,x14505),f384(x14503,x14502,x14504,x14505))
% 192.24/192.23 [1451]~E(x14511,x14512)+E(f384(x14513,x14514,x14511,x14515),f384(x14513,x14514,x14512,x14515))
% 192.24/192.23 [1452]~E(x14521,x14522)+E(f384(x14523,x14524,x14525,x14521),f384(x14523,x14524,x14525,x14522))
% 192.24/192.23 [1453]~E(x14531,x14532)+E(f149(x14531,x14533),f149(x14532,x14533))
% 192.24/192.23 [1454]~E(x14541,x14542)+E(f149(x14543,x14541),f149(x14543,x14542))
% 192.24/192.23 [1455]~E(x14551,x14552)+E(f412(x14551,x14553,x14554,x14555,x14556),f412(x14552,x14553,x14554,x14555,x14556))
% 192.24/192.23 [1456]~E(x14561,x14562)+E(f412(x14563,x14561,x14564,x14565,x14566),f412(x14563,x14562,x14564,x14565,x14566))
% 192.24/192.23 [1457]~E(x14571,x14572)+E(f412(x14573,x14574,x14571,x14575,x14576),f412(x14573,x14574,x14572,x14575,x14576))
% 192.24/192.23 [1458]~E(x14581,x14582)+E(f412(x14583,x14584,x14585,x14581,x14586),f412(x14583,x14584,x14585,x14582,x14586))
% 192.24/192.23 [1459]~E(x14591,x14592)+E(f412(x14593,x14594,x14595,x14596,x14591),f412(x14593,x14594,x14595,x14596,x14592))
% 192.24/192.23 [1460]~E(x14601,x14602)+E(f839(x14601,x14603,x14604,x14605,x14606,x14607),f839(x14602,x14603,x14604,x14605,x14606,x14607))
% 192.24/192.23 [1461]~E(x14611,x14612)+E(f839(x14613,x14611,x14614,x14615,x14616,x14617),f839(x14613,x14612,x14614,x14615,x14616,x14617))
% 192.24/192.23 [1462]~E(x14621,x14622)+E(f839(x14623,x14624,x14621,x14625,x14626,x14627),f839(x14623,x14624,x14622,x14625,x14626,x14627))
% 192.24/192.23 [1463]~E(x14631,x14632)+E(f839(x14633,x14634,x14635,x14631,x14636,x14637),f839(x14633,x14634,x14635,x14632,x14636,x14637))
% 192.24/192.23 [1464]~E(x14641,x14642)+E(f839(x14643,x14644,x14645,x14646,x14641,x14647),f839(x14643,x14644,x14645,x14646,x14642,x14647))
% 192.24/192.23 [1465]~E(x14651,x14652)+E(f839(x14653,x14654,x14655,x14656,x14657,x14651),f839(x14653,x14654,x14655,x14656,x14657,x14652))
% 192.24/192.23 [1466]~E(x14661,x14662)+E(f842(x14661,x14663),f842(x14662,x14663))
% 192.24/192.23 [1467]~E(x14671,x14672)+E(f842(x14673,x14671),f842(x14673,x14672))
% 192.24/192.23 [1468]~E(x14681,x14682)+E(f410(x14681,x14683,x14684,x14685,x14686),f410(x14682,x14683,x14684,x14685,x14686))
% 192.24/192.23 [1469]~E(x14691,x14692)+E(f410(x14693,x14691,x14694,x14695,x14696),f410(x14693,x14692,x14694,x14695,x14696))
% 192.24/192.23 [1470]~E(x14701,x14702)+E(f410(x14703,x14704,x14701,x14705,x14706),f410(x14703,x14704,x14702,x14705,x14706))
% 192.24/192.23 [1471]~E(x14711,x14712)+E(f410(x14713,x14714,x14715,x14711,x14716),f410(x14713,x14714,x14715,x14712,x14716))
% 192.24/192.23 [1472]~E(x14721,x14722)+E(f410(x14723,x14724,x14725,x14726,x14721),f410(x14723,x14724,x14725,x14726,x14722))
% 192.24/192.23 [1473]~E(x14731,x14732)+E(f482(x14731,x14733,x14734,x14735,x14736,x14737),f482(x14732,x14733,x14734,x14735,x14736,x14737))
% 192.24/192.23 [1474]~E(x14741,x14742)+E(f482(x14743,x14741,x14744,x14745,x14746,x14747),f482(x14743,x14742,x14744,x14745,x14746,x14747))
% 192.24/192.23 [1475]~E(x14751,x14752)+E(f482(x14753,x14754,x14751,x14755,x14756,x14757),f482(x14753,x14754,x14752,x14755,x14756,x14757))
% 192.24/192.23 [1476]~E(x14761,x14762)+E(f482(x14763,x14764,x14765,x14761,x14766,x14767),f482(x14763,x14764,x14765,x14762,x14766,x14767))
% 192.24/192.23 [1477]~E(x14771,x14772)+E(f482(x14773,x14774,x14775,x14776,x14771,x14777),f482(x14773,x14774,x14775,x14776,x14772,x14777))
% 192.24/192.23 [1478]~E(x14781,x14782)+E(f482(x14783,x14784,x14785,x14786,x14787,x14781),f482(x14783,x14784,x14785,x14786,x14787,x14782))
% 192.24/192.23 [1479]~E(x14791,x14792)+E(f198(x14791,x14793),f198(x14792,x14793))
% 192.24/192.23 [1480]~E(x14801,x14802)+E(f198(x14803,x14801),f198(x14803,x14802))
% 192.24/192.23 [1481]~E(x14811,x14812)+E(f458(x14811,x14813,x14814,x14815),f458(x14812,x14813,x14814,x14815))
% 192.24/192.23 [1482]~E(x14821,x14822)+E(f458(x14823,x14821,x14824,x14825),f458(x14823,x14822,x14824,x14825))
% 192.24/192.23 [1483]~E(x14831,x14832)+E(f458(x14833,x14834,x14831,x14835),f458(x14833,x14834,x14832,x14835))
% 192.24/192.23 [1484]~E(x14841,x14842)+E(f458(x14843,x14844,x14845,x14841),f458(x14843,x14844,x14845,x14842))
% 192.24/192.23 [1485]~E(x14851,x14852)+E(f664(x14851,x14853,x14854,x14855),f664(x14852,x14853,x14854,x14855))
% 192.24/192.23 [1486]~E(x14861,x14862)+E(f664(x14863,x14861,x14864,x14865),f664(x14863,x14862,x14864,x14865))
% 192.24/192.23 [1487]~E(x14871,x14872)+E(f664(x14873,x14874,x14871,x14875),f664(x14873,x14874,x14872,x14875))
% 192.24/192.23 [1488]~E(x14881,x14882)+E(f664(x14883,x14884,x14885,x14881),f664(x14883,x14884,x14885,x14882))
% 192.24/192.23 [1489]~E(x14891,x14892)+E(f836(x14891,x14893,x14894),f836(x14892,x14893,x14894))
% 192.24/192.23 [1490]~E(x14901,x14902)+E(f836(x14903,x14901,x14904),f836(x14903,x14902,x14904))
% 192.24/192.23 [1491]~E(x14911,x14912)+E(f836(x14913,x14914,x14911),f836(x14913,x14914,x14912))
% 192.24/192.23 [1492]~E(x14921,x14922)+E(f554(x14921,x14923,x14924,x14925,x14926,x14927,x14928,x14929),f554(x14922,x14923,x14924,x14925,x14926,x14927,x14928,x14929))
% 192.24/192.23 [1493]~E(x14931,x14932)+E(f554(x14933,x14931,x14934,x14935,x14936,x14937,x14938,x14939),f554(x14933,x14932,x14934,x14935,x14936,x14937,x14938,x14939))
% 192.24/192.23 [1494]~E(x14941,x14942)+E(f554(x14943,x14944,x14941,x14945,x14946,x14947,x14948,x14949),f554(x14943,x14944,x14942,x14945,x14946,x14947,x14948,x14949))
% 192.24/192.23 [1495]~E(x14951,x14952)+E(f554(x14953,x14954,x14955,x14951,x14956,x14957,x14958,x14959),f554(x14953,x14954,x14955,x14952,x14956,x14957,x14958,x14959))
% 192.24/192.23 [1496]~E(x14961,x14962)+E(f554(x14963,x14964,x14965,x14966,x14961,x14967,x14968,x14969),f554(x14963,x14964,x14965,x14966,x14962,x14967,x14968,x14969))
% 192.24/192.23 [1497]~E(x14971,x14972)+E(f554(x14973,x14974,x14975,x14976,x14977,x14971,x14978,x14979),f554(x14973,x14974,x14975,x14976,x14977,x14972,x14978,x14979))
% 192.24/192.23 [1498]~E(x14981,x14982)+E(f554(x14983,x14984,x14985,x14986,x14987,x14988,x14981,x14989),f554(x14983,x14984,x14985,x14986,x14987,x14988,x14982,x14989))
% 192.24/192.23 [1499]~E(x14991,x14992)+E(f554(x14993,x14994,x14995,x14996,x14997,x14998,x14999,x14991),f554(x14993,x14994,x14995,x14996,x14997,x14998,x14999,x14992))
% 192.24/192.23 [1500]~E(x15001,x15002)+E(f498(x15001,x15003,x15004),f498(x15002,x15003,x15004))
% 192.24/192.23 [1501]~E(x15011,x15012)+E(f498(x15013,x15011,x15014),f498(x15013,x15012,x15014))
% 192.24/192.23 [1502]~E(x15021,x15022)+E(f498(x15023,x15024,x15021),f498(x15023,x15024,x15022))
% 192.24/192.23 [1503]~E(x15031,x15032)+E(f189(x15031),f189(x15032))
% 192.24/192.23 [1504]~E(x15041,x15042)+E(f414(x15041,x15043,x15044,x15045,x15046),f414(x15042,x15043,x15044,x15045,x15046))
% 192.24/192.23 [1505]~E(x15051,x15052)+E(f414(x15053,x15051,x15054,x15055,x15056),f414(x15053,x15052,x15054,x15055,x15056))
% 192.24/192.23 [1506]~E(x15061,x15062)+E(f414(x15063,x15064,x15061,x15065,x15066),f414(x15063,x15064,x15062,x15065,x15066))
% 192.24/192.23 [1507]~E(x15071,x15072)+E(f414(x15073,x15074,x15075,x15071,x15076),f414(x15073,x15074,x15075,x15072,x15076))
% 192.24/192.23 [1508]~E(x15081,x15082)+E(f414(x15083,x15084,x15085,x15086,x15081),f414(x15083,x15084,x15085,x15086,x15082))
% 192.24/192.23 [1509]~E(x15091,x15092)+E(f502(x15091,x15093,x15094,x15095,x15096),f502(x15092,x15093,x15094,x15095,x15096))
% 192.24/192.23 [1510]~E(x15101,x15102)+E(f502(x15103,x15101,x15104,x15105,x15106),f502(x15103,x15102,x15104,x15105,x15106))
% 192.24/192.23 [1511]~E(x15111,x15112)+E(f502(x15113,x15114,x15111,x15115,x15116),f502(x15113,x15114,x15112,x15115,x15116))
% 192.24/192.23 [1512]~E(x15121,x15122)+E(f502(x15123,x15124,x15125,x15121,x15126),f502(x15123,x15124,x15125,x15122,x15126))
% 192.24/192.23 [1513]~E(x15131,x15132)+E(f502(x15133,x15134,x15135,x15136,x15131),f502(x15133,x15134,x15135,x15136,x15132))
% 192.24/192.23 [1514]~E(x15141,x15142)+E(f314(x15141,x15143),f314(x15142,x15143))
% 192.24/192.23 [1515]~E(x15151,x15152)+E(f314(x15153,x15151),f314(x15153,x15152))
% 192.24/192.23 [1516]~E(x15161,x15162)+E(f709(x15161,x15163,x15164,x15165),f709(x15162,x15163,x15164,x15165))
% 192.24/192.23 [1517]~E(x15171,x15172)+E(f709(x15173,x15171,x15174,x15175),f709(x15173,x15172,x15174,x15175))
% 192.24/192.23 [1518]~E(x15181,x15182)+E(f709(x15183,x15184,x15181,x15185),f709(x15183,x15184,x15182,x15185))
% 192.24/192.23 [1519]~E(x15191,x15192)+E(f709(x15193,x15194,x15195,x15191),f709(x15193,x15194,x15195,x15192))
% 192.24/192.23 [1520]~E(x15201,x15202)+E(f744(x15201,x15203,x15204),f744(x15202,x15203,x15204))
% 192.24/192.23 [1521]~E(x15211,x15212)+E(f744(x15213,x15211,x15214),f744(x15213,x15212,x15214))
% 192.24/192.23 [1522]~E(x15221,x15222)+E(f744(x15223,x15224,x15221),f744(x15223,x15224,x15222))
% 192.24/192.23 [1523]~E(x15231,x15232)+E(f219(x15231,x15233),f219(x15232,x15233))
% 192.24/192.23 [1524]~E(x15241,x15242)+E(f219(x15243,x15241),f219(x15243,x15242))
% 192.24/192.23 [1525]~E(x15251,x15252)+E(f884(x15251,x15253,x15254,x15255,x15256),f884(x15252,x15253,x15254,x15255,x15256))
% 192.24/192.23 [1526]~E(x15261,x15262)+E(f884(x15263,x15261,x15264,x15265,x15266),f884(x15263,x15262,x15264,x15265,x15266))
% 192.24/192.23 [1527]~E(x15271,x15272)+E(f884(x15273,x15274,x15271,x15275,x15276),f884(x15273,x15274,x15272,x15275,x15276))
% 192.24/192.23 [1528]~E(x15281,x15282)+E(f884(x15283,x15284,x15285,x15281,x15286),f884(x15283,x15284,x15285,x15282,x15286))
% 192.24/192.23 [1529]~E(x15291,x15292)+E(f884(x15293,x15294,x15295,x15296,x15291),f884(x15293,x15294,x15295,x15296,x15292))
% 192.24/192.23 [1530]~E(x15301,x15302)+E(f466(x15301,x15303,x15304),f466(x15302,x15303,x15304))
% 192.24/192.23 [1531]~E(x15311,x15312)+E(f466(x15313,x15311,x15314),f466(x15313,x15312,x15314))
% 192.24/192.23 [1532]~E(x15321,x15322)+E(f466(x15323,x15324,x15321),f466(x15323,x15324,x15322))
% 192.24/192.23 [1533]~E(x15331,x15332)+E(f350(x15331,x15333,x15334),f350(x15332,x15333,x15334))
% 192.24/192.23 [1534]~E(x15341,x15342)+E(f350(x15343,x15341,x15344),f350(x15343,x15342,x15344))
% 192.24/192.23 [1535]~E(x15351,x15352)+E(f350(x15353,x15354,x15351),f350(x15353,x15354,x15352))
% 192.24/192.23 [1536]~E(x15361,x15362)+E(f727(x15361,x15363,x15364),f727(x15362,x15363,x15364))
% 192.24/192.23 [1537]~E(x15371,x15372)+E(f727(x15373,x15371,x15374),f727(x15373,x15372,x15374))
% 192.24/192.23 [1538]~E(x15381,x15382)+E(f727(x15383,x15384,x15381),f727(x15383,x15384,x15382))
% 192.24/192.23 [1539]~E(x15391,x15392)+E(f635(x15391,x15393,x15394),f635(x15392,x15393,x15394))
% 192.24/192.23 [1540]~E(x15401,x15402)+E(f635(x15403,x15401,x15404),f635(x15403,x15402,x15404))
% 192.24/192.23 [1541]~E(x15411,x15412)+E(f635(x15413,x15414,x15411),f635(x15413,x15414,x15412))
% 192.24/192.23 [1542]~E(x15421,x15422)+E(f676(x15421,x15423,x15424,x15425),f676(x15422,x15423,x15424,x15425))
% 192.24/192.23 [1543]~E(x15431,x15432)+E(f676(x15433,x15431,x15434,x15435),f676(x15433,x15432,x15434,x15435))
% 192.24/192.23 [1544]~E(x15441,x15442)+E(f676(x15443,x15444,x15441,x15445),f676(x15443,x15444,x15442,x15445))
% 192.24/192.23 [1545]~E(x15451,x15452)+E(f676(x15453,x15454,x15455,x15451),f676(x15453,x15454,x15455,x15452))
% 192.24/192.23 [1546]~E(x15461,x15462)+E(f380(x15461,x15463,x15464,x15465),f380(x15462,x15463,x15464,x15465))
% 192.24/192.23 [1547]~E(x15471,x15472)+E(f380(x15473,x15471,x15474,x15475),f380(x15473,x15472,x15474,x15475))
% 192.24/192.23 [1548]~E(x15481,x15482)+E(f380(x15483,x15484,x15481,x15485),f380(x15483,x15484,x15482,x15485))
% 192.24/192.23 [1549]~E(x15491,x15492)+E(f380(x15493,x15494,x15495,x15491),f380(x15493,x15494,x15495,x15492))
% 192.24/192.23 [1550]~E(x15501,x15502)+E(f618(x15501,x15503,x15504,x15505,x15506),f618(x15502,x15503,x15504,x15505,x15506))
% 192.24/192.23 [1551]~E(x15511,x15512)+E(f618(x15513,x15511,x15514,x15515,x15516),f618(x15513,x15512,x15514,x15515,x15516))
% 192.24/192.23 [1552]~E(x15521,x15522)+E(f618(x15523,x15524,x15521,x15525,x15526),f618(x15523,x15524,x15522,x15525,x15526))
% 192.24/192.23 [1553]~E(x15531,x15532)+E(f618(x15533,x15534,x15535,x15531,x15536),f618(x15533,x15534,x15535,x15532,x15536))
% 192.24/192.23 [1554]~E(x15541,x15542)+E(f618(x15543,x15544,x15545,x15546,x15541),f618(x15543,x15544,x15545,x15546,x15542))
% 192.24/192.23 [1555]~E(x15551,x15552)+E(f587(x15551,x15553,x15554),f587(x15552,x15553,x15554))
% 192.24/192.23 [1556]~E(x15561,x15562)+E(f587(x15563,x15561,x15564),f587(x15563,x15562,x15564))
% 192.24/192.23 [1557]~E(x15571,x15572)+E(f587(x15573,x15574,x15571),f587(x15573,x15574,x15572))
% 192.24/192.23 [1558]~E(x15581,x15582)+E(f90(x15581),f90(x15582))
% 192.24/192.23 [1559]~E(x15591,x15592)+E(f698(x15591,x15593,x15594),f698(x15592,x15593,x15594))
% 192.24/192.23 [1560]~E(x15601,x15602)+E(f698(x15603,x15601,x15604),f698(x15603,x15602,x15604))
% 192.24/192.23 [1561]~E(x15611,x15612)+E(f698(x15613,x15614,x15611),f698(x15613,x15614,x15612))
% 192.24/192.23 [1562]~E(x15621,x15622)+E(f721(x15621,x15623,x15624,x15625,x15626),f721(x15622,x15623,x15624,x15625,x15626))
% 192.24/192.23 [1563]~E(x15631,x15632)+E(f721(x15633,x15631,x15634,x15635,x15636),f721(x15633,x15632,x15634,x15635,x15636))
% 192.24/192.23 [1564]~E(x15641,x15642)+E(f721(x15643,x15644,x15641,x15645,x15646),f721(x15643,x15644,x15642,x15645,x15646))
% 192.24/192.23 [1565]~E(x15651,x15652)+E(f721(x15653,x15654,x15655,x15651,x15656),f721(x15653,x15654,x15655,x15652,x15656))
% 192.24/192.23 [1566]~E(x15661,x15662)+E(f721(x15663,x15664,x15665,x15666,x15661),f721(x15663,x15664,x15665,x15666,x15662))
% 192.24/192.23 [1567]~E(x15671,x15672)+E(f734(x15671,x15673,x15674),f734(x15672,x15673,x15674))
% 192.24/192.23 [1568]~E(x15681,x15682)+E(f734(x15683,x15681,x15684),f734(x15683,x15682,x15684))
% 192.24/192.23 [1569]~E(x15691,x15692)+E(f734(x15693,x15694,x15691),f734(x15693,x15694,x15692))
% 192.24/192.23 [1570]~E(x15701,x15702)+E(f808(x15701,x15703,x15704,x15705),f808(x15702,x15703,x15704,x15705))
% 192.24/192.23 [1571]~E(x15711,x15712)+E(f808(x15713,x15711,x15714,x15715),f808(x15713,x15712,x15714,x15715))
% 192.24/192.23 [1572]~E(x15721,x15722)+E(f808(x15723,x15724,x15721,x15725),f808(x15723,x15724,x15722,x15725))
% 192.24/192.23 [1573]~E(x15731,x15732)+E(f808(x15733,x15734,x15735,x15731),f808(x15733,x15734,x15735,x15732))
% 192.24/192.23 [1574]~E(x15741,x15742)+E(f361(x15741,x15743),f361(x15742,x15743))
% 192.24/192.23 [1575]~E(x15751,x15752)+E(f361(x15753,x15751),f361(x15753,x15752))
% 192.24/192.23 [1576]~E(x15761,x15762)+E(f468(x15761,x15763,x15764),f468(x15762,x15763,x15764))
% 192.24/192.23 [1577]~E(x15771,x15772)+E(f468(x15773,x15771,x15774),f468(x15773,x15772,x15774))
% 192.24/192.23 [1578]~E(x15781,x15782)+E(f468(x15783,x15784,x15781),f468(x15783,x15784,x15782))
% 192.24/192.23 [1579]~E(x15791,x15792)+E(f588(x15791,x15793,x15794),f588(x15792,x15793,x15794))
% 192.24/192.23 [1580]~E(x15801,x15802)+E(f588(x15803,x15801,x15804),f588(x15803,x15802,x15804))
% 192.24/192.23 [1581]~E(x15811,x15812)+E(f588(x15813,x15814,x15811),f588(x15813,x15814,x15812))
% 192.24/192.23 [1582]~E(x15821,x15822)+E(f275(x15821,x15823),f275(x15822,x15823))
% 192.24/192.23 [1583]~E(x15831,x15832)+E(f275(x15833,x15831),f275(x15833,x15832))
% 192.24/192.23 [1584]~E(x15841,x15842)+E(f408(x15841,x15843,x15844),f408(x15842,x15843,x15844))
% 192.24/192.23 [1585]~E(x15851,x15852)+E(f408(x15853,x15851,x15854),f408(x15853,x15852,x15854))
% 192.24/192.23 [1586]~E(x15861,x15862)+E(f408(x15863,x15864,x15861),f408(x15863,x15864,x15862))
% 192.24/192.23 [1587]~E(x15871,x15872)+E(f606(x15871,x15873,x15874,x15875,x15876),f606(x15872,x15873,x15874,x15875,x15876))
% 192.24/192.23 [1588]~E(x15881,x15882)+E(f606(x15883,x15881,x15884,x15885,x15886),f606(x15883,x15882,x15884,x15885,x15886))
% 192.24/192.23 [1589]~E(x15891,x15892)+E(f606(x15893,x15894,x15891,x15895,x15896),f606(x15893,x15894,x15892,x15895,x15896))
% 192.24/192.23 [1590]~E(x15901,x15902)+E(f606(x15903,x15904,x15905,x15901,x15906),f606(x15903,x15904,x15905,x15902,x15906))
% 192.24/192.23 [1591]~E(x15911,x15912)+E(f606(x15913,x15914,x15915,x15916,x15911),f606(x15913,x15914,x15915,x15916,x15912))
% 192.24/192.23 [1592]~E(x15921,x15922)+E(f122(x15921,x15923,x15924),f122(x15922,x15923,x15924))
% 192.24/192.23 [1593]~E(x15931,x15932)+E(f122(x15933,x15931,x15934),f122(x15933,x15932,x15934))
% 192.24/192.23 [1594]~E(x15941,x15942)+E(f122(x15943,x15944,x15941),f122(x15943,x15944,x15942))
% 192.24/192.23 [1595]~E(x15951,x15952)+E(f663(x15951,x15953,x15954,x15955,x15956),f663(x15952,x15953,x15954,x15955,x15956))
% 192.24/192.23 [1596]~E(x15961,x15962)+E(f663(x15963,x15961,x15964,x15965,x15966),f663(x15963,x15962,x15964,x15965,x15966))
% 192.24/192.23 [1597]~E(x15971,x15972)+E(f663(x15973,x15974,x15971,x15975,x15976),f663(x15973,x15974,x15972,x15975,x15976))
% 192.24/192.23 [1598]~E(x15981,x15982)+E(f663(x15983,x15984,x15985,x15981,x15986),f663(x15983,x15984,x15985,x15982,x15986))
% 192.24/192.23 [1599]~E(x15991,x15992)+E(f663(x15993,x15994,x15995,x15996,x15991),f663(x15993,x15994,x15995,x15996,x15992))
% 192.24/192.23 [1600]~E(x16001,x16002)+E(f381(x16001,x16003,x16004,x16005),f381(x16002,x16003,x16004,x16005))
% 192.24/192.23 [1601]~E(x16011,x16012)+E(f381(x16013,x16011,x16014,x16015),f381(x16013,x16012,x16014,x16015))
% 192.24/192.23 [1602]~E(x16021,x16022)+E(f381(x16023,x16024,x16021,x16025),f381(x16023,x16024,x16022,x16025))
% 192.24/192.23 [1603]~E(x16031,x16032)+E(f381(x16033,x16034,x16035,x16031),f381(x16033,x16034,x16035,x16032))
% 192.24/192.23 [1604]~E(x16041,x16042)+E(f736(x16041,x16043,x16044),f736(x16042,x16043,x16044))
% 192.24/192.23 [1605]~E(x16051,x16052)+E(f736(x16053,x16051,x16054),f736(x16053,x16052,x16054))
% 192.24/192.23 [1606]~E(x16061,x16062)+E(f736(x16063,x16064,x16061),f736(x16063,x16064,x16062))
% 192.24/192.23 [1607]~E(x16071,x16072)+E(f138(x16071),f138(x16072))
% 192.24/192.23 [1608]~E(x16081,x16082)+E(f899(x16081,x16083),f899(x16082,x16083))
% 192.24/192.23 [1609]~E(x16091,x16092)+E(f899(x16093,x16091),f899(x16093,x16092))
% 192.24/192.23 [1610]~E(x16101,x16102)+E(f209(x16101),f209(x16102))
% 192.24/192.23 [1611]~E(x16111,x16112)+E(f617(x16111,x16113),f617(x16112,x16113))
% 192.24/192.23 [1612]~E(x16121,x16122)+E(f617(x16123,x16121),f617(x16123,x16122))
% 192.24/192.23 [1613]~E(x16131,x16132)+E(f782(x16131,x16133,x16134),f782(x16132,x16133,x16134))
% 192.24/192.23 [1614]~E(x16141,x16142)+E(f782(x16143,x16141,x16144),f782(x16143,x16142,x16144))
% 192.24/192.23 [1615]~E(x16151,x16152)+E(f782(x16153,x16154,x16151),f782(x16153,x16154,x16152))
% 192.24/192.23 [1616]~E(x16161,x16162)+E(f694(x16161,x16163),f694(x16162,x16163))
% 192.24/192.23 [1617]~E(x16171,x16172)+E(f694(x16173,x16171),f694(x16173,x16172))
% 192.24/192.23 [1618]~E(x16181,x16182)+E(f354(x16181,x16183,x16184,x16185,x16186),f354(x16182,x16183,x16184,x16185,x16186))
% 192.24/192.23 [1619]~E(x16191,x16192)+E(f354(x16193,x16191,x16194,x16195,x16196),f354(x16193,x16192,x16194,x16195,x16196))
% 192.24/192.23 [1620]~E(x16201,x16202)+E(f354(x16203,x16204,x16201,x16205,x16206),f354(x16203,x16204,x16202,x16205,x16206))
% 192.24/192.23 [1621]~E(x16211,x16212)+E(f354(x16213,x16214,x16215,x16211,x16216),f354(x16213,x16214,x16215,x16212,x16216))
% 192.24/192.23 [1622]~E(x16221,x16222)+E(f354(x16223,x16224,x16225,x16226,x16221),f354(x16223,x16224,x16225,x16226,x16222))
% 192.24/192.23 [1623]~E(x16231,x16232)+E(f484(x16231,x16233,x16234),f484(x16232,x16233,x16234))
% 192.24/192.23 [1624]~E(x16241,x16242)+E(f484(x16243,x16241,x16244),f484(x16243,x16242,x16244))
% 192.24/192.23 [1625]~E(x16251,x16252)+E(f484(x16253,x16254,x16251),f484(x16253,x16254,x16252))
% 192.24/192.23 [1626]~E(x16261,x16262)+E(f824(x16261,x16263,x16264,x16265),f824(x16262,x16263,x16264,x16265))
% 192.24/192.23 [1627]~E(x16271,x16272)+E(f824(x16273,x16271,x16274,x16275),f824(x16273,x16272,x16274,x16275))
% 192.24/192.23 [1628]~E(x16281,x16282)+E(f824(x16283,x16284,x16281,x16285),f824(x16283,x16284,x16282,x16285))
% 192.24/192.23 [1629]~E(x16291,x16292)+E(f824(x16293,x16294,x16295,x16291),f824(x16293,x16294,x16295,x16292))
% 192.24/192.23 [1630]~E(x16301,x16302)+E(f455(x16301,x16303),f455(x16302,x16303))
% 192.24/192.23 [1631]~E(x16311,x16312)+E(f455(x16313,x16311),f455(x16313,x16312))
% 192.24/192.23 [1632]~E(x16321,x16322)+E(f614(x16321,x16323,x16324,x16325),f614(x16322,x16323,x16324,x16325))
% 192.24/192.23 [1633]~E(x16331,x16332)+E(f614(x16333,x16331,x16334,x16335),f614(x16333,x16332,x16334,x16335))
% 192.24/192.23 [1634]~E(x16341,x16342)+E(f614(x16343,x16344,x16341,x16345),f614(x16343,x16344,x16342,x16345))
% 192.24/192.23 [1635]~E(x16351,x16352)+E(f614(x16353,x16354,x16355,x16351),f614(x16353,x16354,x16355,x16352))
% 192.24/192.23 [1636]~E(x16361,x16362)+E(f364(x16361,x16363,x16364),f364(x16362,x16363,x16364))
% 192.24/192.23 [1637]~E(x16371,x16372)+E(f364(x16373,x16371,x16374),f364(x16373,x16372,x16374))
% 192.24/192.23 [1638]~E(x16381,x16382)+E(f364(x16383,x16384,x16381),f364(x16383,x16384,x16382))
% 192.24/192.23 [1639]~E(x16391,x16392)+E(f444(x16391,x16393,x16394,x16395,x16396),f444(x16392,x16393,x16394,x16395,x16396))
% 192.24/192.23 [1640]~E(x16401,x16402)+E(f444(x16403,x16401,x16404,x16405,x16406),f444(x16403,x16402,x16404,x16405,x16406))
% 192.24/192.23 [1641]~E(x16411,x16412)+E(f444(x16413,x16414,x16411,x16415,x16416),f444(x16413,x16414,x16412,x16415,x16416))
% 192.24/192.23 [1642]~E(x16421,x16422)+E(f444(x16423,x16424,x16425,x16421,x16426),f444(x16423,x16424,x16425,x16422,x16426))
% 192.24/192.23 [1643]~E(x16431,x16432)+E(f444(x16433,x16434,x16435,x16436,x16431),f444(x16433,x16434,x16435,x16436,x16432))
% 192.24/192.23 [1644]~E(x16441,x16442)+E(f300(x16441,x16443,x16444),f300(x16442,x16443,x16444))
% 192.24/192.23 [1645]~E(x16451,x16452)+E(f300(x16453,x16451,x16454),f300(x16453,x16452,x16454))
% 192.24/192.23 [1646]~E(x16461,x16462)+E(f300(x16463,x16464,x16461),f300(x16463,x16464,x16462))
% 192.24/192.23 [1647]~E(x16471,x16472)+E(f702(x16471,x16473,x16474),f702(x16472,x16473,x16474))
% 192.24/192.23 [1648]~E(x16481,x16482)+E(f702(x16483,x16481,x16484),f702(x16483,x16482,x16484))
% 192.24/192.23 [1649]~E(x16491,x16492)+E(f702(x16493,x16494,x16491),f702(x16493,x16494,x16492))
% 192.24/192.23 [1650]~E(x16501,x16502)+E(f867(x16501,x16503,x16504,x16505),f867(x16502,x16503,x16504,x16505))
% 192.24/192.23 [1651]~E(x16511,x16512)+E(f867(x16513,x16511,x16514,x16515),f867(x16513,x16512,x16514,x16515))
% 192.24/192.23 [1652]~E(x16521,x16522)+E(f867(x16523,x16524,x16521,x16525),f867(x16523,x16524,x16522,x16525))
% 192.24/192.23 [1653]~E(x16531,x16532)+E(f867(x16533,x16534,x16535,x16531),f867(x16533,x16534,x16535,x16532))
% 192.24/192.23 [1654]~E(x16541,x16542)+E(f837(x16541,x16543),f837(x16542,x16543))
% 192.24/192.23 [1655]~E(x16551,x16552)+E(f837(x16553,x16551),f837(x16553,x16552))
% 192.24/192.23 [1656]~E(x16561,x16562)+E(f882(x16561,x16563,x16564,x16565,x16566),f882(x16562,x16563,x16564,x16565,x16566))
% 192.24/192.23 [1657]~E(x16571,x16572)+E(f882(x16573,x16571,x16574,x16575,x16576),f882(x16573,x16572,x16574,x16575,x16576))
% 192.24/192.23 [1658]~E(x16581,x16582)+E(f882(x16583,x16584,x16581,x16585,x16586),f882(x16583,x16584,x16582,x16585,x16586))
% 192.24/192.23 [1659]~E(x16591,x16592)+E(f882(x16593,x16594,x16595,x16591,x16596),f882(x16593,x16594,x16595,x16592,x16596))
% 192.24/192.23 [1660]~E(x16601,x16602)+E(f882(x16603,x16604,x16605,x16606,x16601),f882(x16603,x16604,x16605,x16606,x16602))
% 192.24/192.23 [1661]~E(x16611,x16612)+E(f774(x16611,x16613,x16614),f774(x16612,x16613,x16614))
% 192.24/192.23 [1662]~E(x16621,x16622)+E(f774(x16623,x16621,x16624),f774(x16623,x16622,x16624))
% 192.24/192.23 [1663]~E(x16631,x16632)+E(f774(x16633,x16634,x16631),f774(x16633,x16634,x16632))
% 192.24/192.23 [1664]~E(x16641,x16642)+E(f738(x16641,x16643,x16644,x16645,x16646,x16647,x16648),f738(x16642,x16643,x16644,x16645,x16646,x16647,x16648))
% 192.24/192.23 [1665]~E(x16651,x16652)+E(f738(x16653,x16651,x16654,x16655,x16656,x16657,x16658),f738(x16653,x16652,x16654,x16655,x16656,x16657,x16658))
% 192.24/192.23 [1666]~E(x16661,x16662)+E(f738(x16663,x16664,x16661,x16665,x16666,x16667,x16668),f738(x16663,x16664,x16662,x16665,x16666,x16667,x16668))
% 192.24/192.23 [1667]~E(x16671,x16672)+E(f738(x16673,x16674,x16675,x16671,x16676,x16677,x16678),f738(x16673,x16674,x16675,x16672,x16676,x16677,x16678))
% 192.24/192.23 [1668]~E(x16681,x16682)+E(f738(x16683,x16684,x16685,x16686,x16681,x16687,x16688),f738(x16683,x16684,x16685,x16686,x16682,x16687,x16688))
% 192.24/192.23 [1669]~E(x16691,x16692)+E(f738(x16693,x16694,x16695,x16696,x16697,x16691,x16698),f738(x16693,x16694,x16695,x16696,x16697,x16692,x16698))
% 192.24/192.23 [1670]~E(x16701,x16702)+E(f738(x16703,x16704,x16705,x16706,x16707,x16708,x16701),f738(x16703,x16704,x16705,x16706,x16707,x16708,x16702))
% 192.24/192.23 [1671]~E(x16711,x16712)+E(f865(x16711,x16713,x16714,x16715),f865(x16712,x16713,x16714,x16715))
% 192.24/192.23 [1672]~E(x16721,x16722)+E(f865(x16723,x16721,x16724,x16725),f865(x16723,x16722,x16724,x16725))
% 192.24/192.23 [1673]~E(x16731,x16732)+E(f865(x16733,x16734,x16731,x16735),f865(x16733,x16734,x16732,x16735))
% 192.24/192.23 [1674]~E(x16741,x16742)+E(f865(x16743,x16744,x16745,x16741),f865(x16743,x16744,x16745,x16742))
% 192.24/192.23 [1675]~E(x16751,x16752)+E(f299(x16751,x16753,x16754,x16755,x16756),f299(x16752,x16753,x16754,x16755,x16756))
% 192.24/192.23 [1676]~E(x16761,x16762)+E(f299(x16763,x16761,x16764,x16765,x16766),f299(x16763,x16762,x16764,x16765,x16766))
% 192.24/192.23 [1677]~E(x16771,x16772)+E(f299(x16773,x16774,x16771,x16775,x16776),f299(x16773,x16774,x16772,x16775,x16776))
% 192.24/192.23 [1678]~E(x16781,x16782)+E(f299(x16783,x16784,x16785,x16781,x16786),f299(x16783,x16784,x16785,x16782,x16786))
% 192.24/192.23 [1679]~E(x16791,x16792)+E(f299(x16793,x16794,x16795,x16796,x16791),f299(x16793,x16794,x16795,x16796,x16792))
% 192.24/192.23 [1680]~E(x16801,x16802)+E(f218(x16801,x16803),f218(x16802,x16803))
% 192.24/192.23 [1681]~E(x16811,x16812)+E(f218(x16813,x16811),f218(x16813,x16812))
% 192.24/192.23 [1682]~E(x16821,x16822)+E(f522(x16821,x16823,x16824,x16825,x16826),f522(x16822,x16823,x16824,x16825,x16826))
% 192.24/192.23 [1683]~E(x16831,x16832)+E(f522(x16833,x16831,x16834,x16835,x16836),f522(x16833,x16832,x16834,x16835,x16836))
% 192.24/192.23 [1684]~E(x16841,x16842)+E(f522(x16843,x16844,x16841,x16845,x16846),f522(x16843,x16844,x16842,x16845,x16846))
% 192.24/192.23 [1685]~E(x16851,x16852)+E(f522(x16853,x16854,x16855,x16851,x16856),f522(x16853,x16854,x16855,x16852,x16856))
% 192.24/192.23 [1686]~E(x16861,x16862)+E(f522(x16863,x16864,x16865,x16866,x16861),f522(x16863,x16864,x16865,x16866,x16862))
% 192.24/192.23 [1687]~E(x16871,x16872)+E(f594(x16871,x16873,x16874),f594(x16872,x16873,x16874))
% 192.24/192.23 [1688]~E(x16881,x16882)+E(f594(x16883,x16881,x16884),f594(x16883,x16882,x16884))
% 192.24/192.23 [1689]~E(x16891,x16892)+E(f594(x16893,x16894,x16891),f594(x16893,x16894,x16892))
% 192.24/192.23 [1690]~E(x16901,x16902)+E(f465(x16901,x16903),f465(x16902,x16903))
% 192.24/192.23 [1691]~E(x16911,x16912)+E(f465(x16913,x16911),f465(x16913,x16912))
% 192.24/192.23 [1692]~E(x16921,x16922)+E(f755(x16921,x16923,x16924,x16925,x16926,x16927,x16928,x16929),f755(x16922,x16923,x16924,x16925,x16926,x16927,x16928,x16929))
% 192.24/192.23 [1693]~E(x16931,x16932)+E(f755(x16933,x16931,x16934,x16935,x16936,x16937,x16938,x16939),f755(x16933,x16932,x16934,x16935,x16936,x16937,x16938,x16939))
% 192.24/192.23 [1694]~E(x16941,x16942)+E(f755(x16943,x16944,x16941,x16945,x16946,x16947,x16948,x16949),f755(x16943,x16944,x16942,x16945,x16946,x16947,x16948,x16949))
% 192.24/192.23 [1695]~E(x16951,x16952)+E(f755(x16953,x16954,x16955,x16951,x16956,x16957,x16958,x16959),f755(x16953,x16954,x16955,x16952,x16956,x16957,x16958,x16959))
% 192.24/192.23 [1696]~E(x16961,x16962)+E(f755(x16963,x16964,x16965,x16966,x16961,x16967,x16968,x16969),f755(x16963,x16964,x16965,x16966,x16962,x16967,x16968,x16969))
% 192.24/192.23 [1697]~E(x16971,x16972)+E(f755(x16973,x16974,x16975,x16976,x16977,x16971,x16978,x16979),f755(x16973,x16974,x16975,x16976,x16977,x16972,x16978,x16979))
% 192.24/192.23 [1698]~E(x16981,x16982)+E(f755(x16983,x16984,x16985,x16986,x16987,x16988,x16981,x16989),f755(x16983,x16984,x16985,x16986,x16987,x16988,x16982,x16989))
% 192.24/192.23 [1699]~E(x16991,x16992)+E(f755(x16993,x16994,x16995,x16996,x16997,x16998,x16999,x16991),f755(x16993,x16994,x16995,x16996,x16997,x16998,x16999,x16992))
% 192.24/192.23 [1700]~E(x17001,x17002)+E(f500(x17001,x17003,x17004,x17005,x17006,x17007,x17008),f500(x17002,x17003,x17004,x17005,x17006,x17007,x17008))
% 192.24/192.23 [1701]~E(x17011,x17012)+E(f500(x17013,x17011,x17014,x17015,x17016,x17017,x17018),f500(x17013,x17012,x17014,x17015,x17016,x17017,x17018))
% 192.24/192.23 [1702]~E(x17021,x17022)+E(f500(x17023,x17024,x17021,x17025,x17026,x17027,x17028),f500(x17023,x17024,x17022,x17025,x17026,x17027,x17028))
% 192.24/192.23 [1703]~E(x17031,x17032)+E(f500(x17033,x17034,x17035,x17031,x17036,x17037,x17038),f500(x17033,x17034,x17035,x17032,x17036,x17037,x17038))
% 192.24/192.23 [1704]~E(x17041,x17042)+E(f500(x17043,x17044,x17045,x17046,x17041,x17047,x17048),f500(x17043,x17044,x17045,x17046,x17042,x17047,x17048))
% 192.24/192.23 [1705]~E(x17051,x17052)+E(f500(x17053,x17054,x17055,x17056,x17057,x17051,x17058),f500(x17053,x17054,x17055,x17056,x17057,x17052,x17058))
% 192.24/192.23 [1706]~E(x17061,x17062)+E(f500(x17063,x17064,x17065,x17066,x17067,x17068,x17061),f500(x17063,x17064,x17065,x17066,x17067,x17068,x17062))
% 192.24/192.23 [1707]~E(x17071,x17072)+E(f828(x17071,x17073),f828(x17072,x17073))
% 192.24/192.23 [1708]~E(x17081,x17082)+E(f828(x17083,x17081),f828(x17083,x17082))
% 192.24/192.23 [1709]~E(x17091,x17092)+E(f519(x17091,x17093,x17094,x17095),f519(x17092,x17093,x17094,x17095))
% 192.24/192.23 [1710]~E(x17101,x17102)+E(f519(x17103,x17101,x17104,x17105),f519(x17103,x17102,x17104,x17105))
% 192.24/192.23 [1711]~E(x17111,x17112)+E(f519(x17113,x17114,x17111,x17115),f519(x17113,x17114,x17112,x17115))
% 192.24/192.23 [1712]~E(x17121,x17122)+E(f519(x17123,x17124,x17125,x17121),f519(x17123,x17124,x17125,x17122))
% 192.24/192.23 [1713]~E(x17131,x17132)+E(f423(x17131,x17133,x17134),f423(x17132,x17133,x17134))
% 192.24/192.23 [1714]~E(x17141,x17142)+E(f423(x17143,x17141,x17144),f423(x17143,x17142,x17144))
% 192.24/192.23 [1715]~E(x17151,x17152)+E(f423(x17153,x17154,x17151),f423(x17153,x17154,x17152))
% 192.24/192.23 [1716]~E(x17161,x17162)+E(f431(x17161,x17163,x17164,x17165,x17166,x17167),f431(x17162,x17163,x17164,x17165,x17166,x17167))
% 192.24/192.23 [1717]~E(x17171,x17172)+E(f431(x17173,x17171,x17174,x17175,x17176,x17177),f431(x17173,x17172,x17174,x17175,x17176,x17177))
% 192.24/192.23 [1718]~E(x17181,x17182)+E(f431(x17183,x17184,x17181,x17185,x17186,x17187),f431(x17183,x17184,x17182,x17185,x17186,x17187))
% 192.24/192.23 [1719]~E(x17191,x17192)+E(f431(x17193,x17194,x17195,x17191,x17196,x17197),f431(x17193,x17194,x17195,x17192,x17196,x17197))
% 192.24/192.23 [1720]~E(x17201,x17202)+E(f431(x17203,x17204,x17205,x17206,x17201,x17207),f431(x17203,x17204,x17205,x17206,x17202,x17207))
% 192.24/192.23 [1721]~E(x17211,x17212)+E(f431(x17213,x17214,x17215,x17216,x17217,x17211),f431(x17213,x17214,x17215,x17216,x17217,x17212))
% 192.24/192.23 [1722]~E(x17221,x17222)+E(f17(x17221,x17223,x17224,x17225),f17(x17222,x17223,x17224,x17225))
% 192.24/192.23 [1723]~E(x17231,x17232)+E(f17(x17233,x17231,x17234,x17235),f17(x17233,x17232,x17234,x17235))
% 192.24/192.23 [1724]~E(x17241,x17242)+E(f17(x17243,x17244,x17241,x17245),f17(x17243,x17244,x17242,x17245))
% 192.24/192.23 [1725]~E(x17251,x17252)+E(f17(x17253,x17254,x17255,x17251),f17(x17253,x17254,x17255,x17252))
% 192.24/192.23 [1726]~E(x17261,x17262)+E(f467(x17261,x17263,x17264,x17265),f467(x17262,x17263,x17264,x17265))
% 192.24/192.23 [1727]~E(x17271,x17272)+E(f467(x17273,x17271,x17274,x17275),f467(x17273,x17272,x17274,x17275))
% 192.24/192.23 [1728]~E(x17281,x17282)+E(f467(x17283,x17284,x17281,x17285),f467(x17283,x17284,x17282,x17285))
% 192.24/192.23 [1729]~E(x17291,x17292)+E(f467(x17293,x17294,x17295,x17291),f467(x17293,x17294,x17295,x17292))
% 192.24/192.23 [1730]~E(x17301,x17302)+E(f441(x17301,x17303,x17304,x17305,x17306),f441(x17302,x17303,x17304,x17305,x17306))
% 192.24/192.23 [1731]~E(x17311,x17312)+E(f441(x17313,x17311,x17314,x17315,x17316),f441(x17313,x17312,x17314,x17315,x17316))
% 192.24/192.23 [1732]~E(x17321,x17322)+E(f441(x17323,x17324,x17321,x17325,x17326),f441(x17323,x17324,x17322,x17325,x17326))
% 192.24/192.23 [1733]~E(x17331,x17332)+E(f441(x17333,x17334,x17335,x17331,x17336),f441(x17333,x17334,x17335,x17332,x17336))
% 192.24/192.23 [1734]~E(x17341,x17342)+E(f441(x17343,x17344,x17345,x17346,x17341),f441(x17343,x17344,x17345,x17346,x17342))
% 192.24/192.23 [1735]~E(x17351,x17352)+E(f629(x17351,x17353,x17354,x17355,x17356),f629(x17352,x17353,x17354,x17355,x17356))
% 192.24/192.23 [1736]~E(x17361,x17362)+E(f629(x17363,x17361,x17364,x17365,x17366),f629(x17363,x17362,x17364,x17365,x17366))
% 192.24/192.23 [1737]~E(x17371,x17372)+E(f629(x17373,x17374,x17371,x17375,x17376),f629(x17373,x17374,x17372,x17375,x17376))
% 192.24/192.23 [1738]~E(x17381,x17382)+E(f629(x17383,x17384,x17385,x17381,x17386),f629(x17383,x17384,x17385,x17382,x17386))
% 192.24/192.23 [1739]~E(x17391,x17392)+E(f629(x17393,x17394,x17395,x17396,x17391),f629(x17393,x17394,x17395,x17396,x17392))
% 192.24/192.23 [1740]~E(x17401,x17402)+E(f575(x17401,x17403,x17404,x17405),f575(x17402,x17403,x17404,x17405))
% 192.24/192.23 [1741]~E(x17411,x17412)+E(f575(x17413,x17411,x17414,x17415),f575(x17413,x17412,x17414,x17415))
% 192.24/192.23 [1742]~E(x17421,x17422)+E(f575(x17423,x17424,x17421,x17425),f575(x17423,x17424,x17422,x17425))
% 192.24/192.23 [1743]~E(x17431,x17432)+E(f575(x17433,x17434,x17435,x17431),f575(x17433,x17434,x17435,x17432))
% 192.24/192.23 [1744]~E(x17441,x17442)+E(f419(x17441,x17443,x17444),f419(x17442,x17443,x17444))
% 192.24/192.23 [1745]~E(x17451,x17452)+E(f419(x17453,x17451,x17454),f419(x17453,x17452,x17454))
% 192.24/192.23 [1746]~E(x17461,x17462)+E(f419(x17463,x17464,x17461),f419(x17463,x17464,x17462))
% 192.24/192.23 [1747]~E(x17471,x17472)+E(f394(x17471,x17473,x17474,x17475),f394(x17472,x17473,x17474,x17475))
% 192.24/192.23 [1748]~E(x17481,x17482)+E(f394(x17483,x17481,x17484,x17485),f394(x17483,x17482,x17484,x17485))
% 192.24/192.23 [1749]~E(x17491,x17492)+E(f394(x17493,x17494,x17491,x17495),f394(x17493,x17494,x17492,x17495))
% 192.24/192.23 [1750]~E(x17501,x17502)+E(f394(x17503,x17504,x17505,x17501),f394(x17503,x17504,x17505,x17502))
% 192.24/192.23 [1751]~E(x17511,x17512)+E(f478(x17511,x17513,x17514),f478(x17512,x17513,x17514))
% 192.24/192.23 [1752]~E(x17521,x17522)+E(f478(x17523,x17521,x17524),f478(x17523,x17522,x17524))
% 192.24/192.23 [1753]~E(x17531,x17532)+E(f478(x17533,x17534,x17531),f478(x17533,x17534,x17532))
% 192.24/192.23 [1754]~E(x17541,x17542)+E(f765(x17541,x17543,x17544,x17545,x17546),f765(x17542,x17543,x17544,x17545,x17546))
% 192.24/192.23 [1755]~E(x17551,x17552)+E(f765(x17553,x17551,x17554,x17555,x17556),f765(x17553,x17552,x17554,x17555,x17556))
% 192.24/192.23 [1756]~E(x17561,x17562)+E(f765(x17563,x17564,x17561,x17565,x17566),f765(x17563,x17564,x17562,x17565,x17566))
% 192.24/192.23 [1757]~E(x17571,x17572)+E(f765(x17573,x17574,x17575,x17571,x17576),f765(x17573,x17574,x17575,x17572,x17576))
% 192.24/192.23 [1758]~E(x17581,x17582)+E(f765(x17583,x17584,x17585,x17586,x17581),f765(x17583,x17584,x17585,x17586,x17582))
% 192.24/192.23 [1759]~E(x17591,x17592)+E(f448(x17591,x17593,x17594),f448(x17592,x17593,x17594))
% 192.24/192.23 [1760]~E(x17601,x17602)+E(f448(x17603,x17601,x17604),f448(x17603,x17602,x17604))
% 192.24/192.23 [1761]~E(x17611,x17612)+E(f448(x17613,x17614,x17611),f448(x17613,x17614,x17612))
% 192.24/192.23 [1762]~E(x17621,x17622)+E(f473(x17621,x17623,x17624),f473(x17622,x17623,x17624))
% 192.24/192.23 [1763]~E(x17631,x17632)+E(f473(x17633,x17631,x17634),f473(x17633,x17632,x17634))
% 192.24/192.23 [1764]~E(x17641,x17642)+E(f473(x17643,x17644,x17641),f473(x17643,x17644,x17642))
% 192.24/192.23 [1765]~E(x17651,x17652)+E(f525(x17651,x17653,x17654),f525(x17652,x17653,x17654))
% 192.24/192.23 [1766]~E(x17661,x17662)+E(f525(x17663,x17661,x17664),f525(x17663,x17662,x17664))
% 192.24/192.23 [1767]~E(x17671,x17672)+E(f525(x17673,x17674,x17671),f525(x17673,x17674,x17672))
% 192.24/192.23 [1768]~E(x17681,x17682)+E(f428(x17681,x17683),f428(x17682,x17683))
% 192.24/192.23 [1769]~E(x17691,x17692)+E(f428(x17693,x17691),f428(x17693,x17692))
% 192.24/192.23 [1770]~E(x17701,x17702)+E(f597(x17701,x17703,x17704,x17705,x17706),f597(x17702,x17703,x17704,x17705,x17706))
% 192.24/192.23 [1771]~E(x17711,x17712)+E(f597(x17713,x17711,x17714,x17715,x17716),f597(x17713,x17712,x17714,x17715,x17716))
% 192.24/192.23 [1772]~E(x17721,x17722)+E(f597(x17723,x17724,x17721,x17725,x17726),f597(x17723,x17724,x17722,x17725,x17726))
% 192.24/192.23 [1773]~E(x17731,x17732)+E(f597(x17733,x17734,x17735,x17731,x17736),f597(x17733,x17734,x17735,x17732,x17736))
% 192.24/192.23 [1774]~E(x17741,x17742)+E(f597(x17743,x17744,x17745,x17746,x17741),f597(x17743,x17744,x17745,x17746,x17742))
% 192.24/192.23 [1775]~E(x17751,x17752)+E(f411(x17751,x17753,x17754),f411(x17752,x17753,x17754))
% 192.24/192.23 [1776]~E(x17761,x17762)+E(f411(x17763,x17761,x17764),f411(x17763,x17762,x17764))
% 192.24/192.23 [1777]~E(x17771,x17772)+E(f411(x17773,x17774,x17771),f411(x17773,x17774,x17772))
% 192.24/192.23 [1778]~E(x17781,x17782)+E(f812(x17781,x17783,x17784,x17785,x17786,x17787,x17788),f812(x17782,x17783,x17784,x17785,x17786,x17787,x17788))
% 192.24/192.23 [1779]~E(x17791,x17792)+E(f812(x17793,x17791,x17794,x17795,x17796,x17797,x17798),f812(x17793,x17792,x17794,x17795,x17796,x17797,x17798))
% 192.24/192.23 [1780]~E(x17801,x17802)+E(f812(x17803,x17804,x17801,x17805,x17806,x17807,x17808),f812(x17803,x17804,x17802,x17805,x17806,x17807,x17808))
% 192.24/192.23 [1781]~E(x17811,x17812)+E(f812(x17813,x17814,x17815,x17811,x17816,x17817,x17818),f812(x17813,x17814,x17815,x17812,x17816,x17817,x17818))
% 192.24/192.23 [1782]~E(x17821,x17822)+E(f812(x17823,x17824,x17825,x17826,x17821,x17827,x17828),f812(x17823,x17824,x17825,x17826,x17822,x17827,x17828))
% 192.24/192.23 [1783]~E(x17831,x17832)+E(f812(x17833,x17834,x17835,x17836,x17837,x17831,x17838),f812(x17833,x17834,x17835,x17836,x17837,x17832,x17838))
% 192.24/192.23 [1784]~E(x17841,x17842)+E(f812(x17843,x17844,x17845,x17846,x17847,x17848,x17841),f812(x17843,x17844,x17845,x17846,x17847,x17848,x17842))
% 192.24/192.23 [1785]~E(x17851,x17852)+E(f753(x17851,x17853),f753(x17852,x17853))
% 192.24/192.23 [1786]~E(x17861,x17862)+E(f753(x17863,x17861),f753(x17863,x17862))
% 192.24/192.23 [1787]~E(x17871,x17872)+E(f521(x17871,x17873,x17874,x17875),f521(x17872,x17873,x17874,x17875))
% 192.24/192.23 [1788]~E(x17881,x17882)+E(f521(x17883,x17881,x17884,x17885),f521(x17883,x17882,x17884,x17885))
% 192.24/192.23 [1789]~E(x17891,x17892)+E(f521(x17893,x17894,x17891,x17895),f521(x17893,x17894,x17892,x17895))
% 192.24/192.23 [1790]~E(x17901,x17902)+E(f521(x17903,x17904,x17905,x17901),f521(x17903,x17904,x17905,x17902))
% 192.24/192.23 [1791]~E(x17911,x17912)+E(f242(x17911,x17913),f242(x17912,x17913))
% 192.24/192.23 [1792]~E(x17921,x17922)+E(f242(x17923,x17921),f242(x17923,x17922))
% 192.24/192.23 [1793]~E(x17931,x17932)+E(f898(x17931,x17933),f898(x17932,x17933))
% 192.24/192.23 [1794]~E(x17941,x17942)+E(f898(x17943,x17941),f898(x17943,x17942))
% 192.24/192.23 [1795]~E(x17951,x17952)+E(f749(x17951,x17953),f749(x17952,x17953))
% 192.24/192.23 [1796]~E(x17961,x17962)+E(f749(x17963,x17961),f749(x17963,x17962))
% 192.24/192.23 [1797]~E(x17971,x17972)+E(f56(x17971,x17973,x17974),f56(x17972,x17973,x17974))
% 192.24/192.23 [1798]~E(x17981,x17982)+E(f56(x17983,x17981,x17984),f56(x17983,x17982,x17984))
% 192.24/192.23 [1799]~E(x17991,x17992)+E(f56(x17993,x17994,x17991),f56(x17993,x17994,x17992))
% 192.24/192.23 [1800]~E(x18001,x18002)+E(f280(x18001,x18003,x18004,x18005),f280(x18002,x18003,x18004,x18005))
% 192.24/192.23 [1801]~E(x18011,x18012)+E(f280(x18013,x18011,x18014,x18015),f280(x18013,x18012,x18014,x18015))
% 192.24/192.23 [1802]~E(x18021,x18022)+E(f280(x18023,x18024,x18021,x18025),f280(x18023,x18024,x18022,x18025))
% 192.24/192.23 [1803]~E(x18031,x18032)+E(f280(x18033,x18034,x18035,x18031),f280(x18033,x18034,x18035,x18032))
% 192.24/192.23 [1804]~E(x18041,x18042)+E(f486(x18041,x18043,x18044),f486(x18042,x18043,x18044))
% 192.24/192.23 [1805]~E(x18051,x18052)+E(f486(x18053,x18051,x18054),f486(x18053,x18052,x18054))
% 192.24/192.23 [1806]~E(x18061,x18062)+E(f486(x18063,x18064,x18061),f486(x18063,x18064,x18062))
% 192.24/192.23 [1807]~E(x18071,x18072)+E(f608(x18071,x18073,x18074,x18075,x18076),f608(x18072,x18073,x18074,x18075,x18076))
% 192.24/192.23 [1808]~E(x18081,x18082)+E(f608(x18083,x18081,x18084,x18085,x18086),f608(x18083,x18082,x18084,x18085,x18086))
% 192.24/192.23 [1809]~E(x18091,x18092)+E(f608(x18093,x18094,x18091,x18095,x18096),f608(x18093,x18094,x18092,x18095,x18096))
% 192.24/192.23 [1810]~E(x18101,x18102)+E(f608(x18103,x18104,x18105,x18101,x18106),f608(x18103,x18104,x18105,x18102,x18106))
% 192.24/192.23 [1811]~E(x18111,x18112)+E(f608(x18113,x18114,x18115,x18116,x18111),f608(x18113,x18114,x18115,x18116,x18112))
% 192.24/192.23 [1812]~E(x18121,x18122)+E(f771(x18121,x18123,x18124,x18125,x18126,x18127,x18128),f771(x18122,x18123,x18124,x18125,x18126,x18127,x18128))
% 192.24/192.23 [1813]~E(x18131,x18132)+E(f771(x18133,x18131,x18134,x18135,x18136,x18137,x18138),f771(x18133,x18132,x18134,x18135,x18136,x18137,x18138))
% 192.24/192.23 [1814]~E(x18141,x18142)+E(f771(x18143,x18144,x18141,x18145,x18146,x18147,x18148),f771(x18143,x18144,x18142,x18145,x18146,x18147,x18148))
% 192.24/192.23 [1815]~E(x18151,x18152)+E(f771(x18153,x18154,x18155,x18151,x18156,x18157,x18158),f771(x18153,x18154,x18155,x18152,x18156,x18157,x18158))
% 192.24/192.23 [1816]~E(x18161,x18162)+E(f771(x18163,x18164,x18165,x18166,x18161,x18167,x18168),f771(x18163,x18164,x18165,x18166,x18162,x18167,x18168))
% 192.24/192.23 [1817]~E(x18171,x18172)+E(f771(x18173,x18174,x18175,x18176,x18177,x18171,x18178),f771(x18173,x18174,x18175,x18176,x18177,x18172,x18178))
% 192.24/192.23 [1818]~E(x18181,x18182)+E(f771(x18183,x18184,x18185,x18186,x18187,x18188,x18181),f771(x18183,x18184,x18185,x18186,x18187,x18188,x18182))
% 192.24/192.23 [1819]~E(x18191,x18192)+E(f283(x18191,x18193,x18194,x18195),f283(x18192,x18193,x18194,x18195))
% 192.24/192.23 [1820]~E(x18201,x18202)+E(f283(x18203,x18201,x18204,x18205),f283(x18203,x18202,x18204,x18205))
% 192.24/192.23 [1821]~E(x18211,x18212)+E(f283(x18213,x18214,x18211,x18215),f283(x18213,x18214,x18212,x18215))
% 192.24/192.23 [1822]~E(x18221,x18222)+E(f283(x18223,x18224,x18225,x18221),f283(x18223,x18224,x18225,x18222))
% 192.24/192.23 [1823]~E(x18231,x18232)+E(f459(x18231,x18233,x18234,x18235,x18236,x18237,x18238),f459(x18232,x18233,x18234,x18235,x18236,x18237,x18238))
% 192.24/192.23 [1824]~E(x18241,x18242)+E(f459(x18243,x18241,x18244,x18245,x18246,x18247,x18248),f459(x18243,x18242,x18244,x18245,x18246,x18247,x18248))
% 192.24/192.23 [1825]~E(x18251,x18252)+E(f459(x18253,x18254,x18251,x18255,x18256,x18257,x18258),f459(x18253,x18254,x18252,x18255,x18256,x18257,x18258))
% 192.24/192.23 [1826]~E(x18261,x18262)+E(f459(x18263,x18264,x18265,x18261,x18266,x18267,x18268),f459(x18263,x18264,x18265,x18262,x18266,x18267,x18268))
% 192.24/192.23 [1827]~E(x18271,x18272)+E(f459(x18273,x18274,x18275,x18276,x18271,x18277,x18278),f459(x18273,x18274,x18275,x18276,x18272,x18277,x18278))
% 192.24/192.23 [1828]~E(x18281,x18282)+E(f459(x18283,x18284,x18285,x18286,x18287,x18281,x18288),f459(x18283,x18284,x18285,x18286,x18287,x18282,x18288))
% 192.24/192.23 [1829]~E(x18291,x18292)+E(f459(x18293,x18294,x18295,x18296,x18297,x18298,x18291),f459(x18293,x18294,x18295,x18296,x18297,x18298,x18292))
% 192.24/192.23 [1830]~E(x18301,x18302)+E(f277(x18301,x18303,x18304),f277(x18302,x18303,x18304))
% 192.24/192.23 [1831]~E(x18311,x18312)+E(f277(x18313,x18311,x18314),f277(x18313,x18312,x18314))
% 192.24/192.23 [1832]~E(x18321,x18322)+E(f277(x18323,x18324,x18321),f277(x18323,x18324,x18322))
% 192.24/192.23 [1833]~E(x18331,x18332)+E(f295(x18331,x18333,x18334),f295(x18332,x18333,x18334))
% 192.24/192.23 [1834]~E(x18341,x18342)+E(f295(x18343,x18341,x18344),f295(x18343,x18342,x18344))
% 192.24/192.23 [1835]~E(x18351,x18352)+E(f295(x18353,x18354,x18351),f295(x18353,x18354,x18352))
% 192.24/192.23 [1836]~E(x18361,x18362)+E(f772(x18361,x18363),f772(x18362,x18363))
% 192.24/192.23 [1837]~E(x18371,x18372)+E(f772(x18373,x18371),f772(x18373,x18372))
% 192.24/192.23 [1838]~E(x18381,x18382)+E(f234(x18381,x18383,x18384),f234(x18382,x18383,x18384))
% 192.24/192.23 [1839]~E(x18391,x18392)+E(f234(x18393,x18391,x18394),f234(x18393,x18392,x18394))
% 192.24/192.23 [1840]~E(x18401,x18402)+E(f234(x18403,x18404,x18401),f234(x18403,x18404,x18402))
% 192.24/192.23 [1841]~E(x18411,x18412)+E(f666(x18411,x18413,x18414,x18415),f666(x18412,x18413,x18414,x18415))
% 192.24/192.23 [1842]~E(x18421,x18422)+E(f666(x18423,x18421,x18424,x18425),f666(x18423,x18422,x18424,x18425))
% 192.24/192.23 [1843]~E(x18431,x18432)+E(f666(x18433,x18434,x18431,x18435),f666(x18433,x18434,x18432,x18435))
% 192.24/192.23 [1844]~E(x18441,x18442)+E(f666(x18443,x18444,x18445,x18441),f666(x18443,x18444,x18445,x18442))
% 192.24/192.23 [1845]~E(x18451,x18452)+E(f536(x18451,x18453,x18454),f536(x18452,x18453,x18454))
% 192.24/192.23 [1846]~E(x18461,x18462)+E(f536(x18463,x18461,x18464),f536(x18463,x18462,x18464))
% 192.24/192.23 [1847]~E(x18471,x18472)+E(f536(x18473,x18474,x18471),f536(x18473,x18474,x18472))
% 192.24/192.23 [1848]~E(x18481,x18482)+E(f870(x18481,x18483,x18484,x18485,x18486),f870(x18482,x18483,x18484,x18485,x18486))
% 192.24/192.23 [1849]~E(x18491,x18492)+E(f870(x18493,x18491,x18494,x18495,x18496),f870(x18493,x18492,x18494,x18495,x18496))
% 192.24/192.23 [1850]~E(x18501,x18502)+E(f870(x18503,x18504,x18501,x18505,x18506),f870(x18503,x18504,x18502,x18505,x18506))
% 192.24/192.23 [1851]~E(x18511,x18512)+E(f870(x18513,x18514,x18515,x18511,x18516),f870(x18513,x18514,x18515,x18512,x18516))
% 192.24/192.23 [1852]~E(x18521,x18522)+E(f870(x18523,x18524,x18525,x18526,x18521),f870(x18523,x18524,x18525,x18526,x18522))
% 192.24/192.23 [1853]~E(x18531,x18532)+E(f811(x18531,x18533,x18534,x18535,x18536,x18537,x18538),f811(x18532,x18533,x18534,x18535,x18536,x18537,x18538))
% 192.24/192.23 [1854]~E(x18541,x18542)+E(f811(x18543,x18541,x18544,x18545,x18546,x18547,x18548),f811(x18543,x18542,x18544,x18545,x18546,x18547,x18548))
% 192.24/192.23 [1855]~E(x18551,x18552)+E(f811(x18553,x18554,x18551,x18555,x18556,x18557,x18558),f811(x18553,x18554,x18552,x18555,x18556,x18557,x18558))
% 192.24/192.23 [1856]~E(x18561,x18562)+E(f811(x18563,x18564,x18565,x18561,x18566,x18567,x18568),f811(x18563,x18564,x18565,x18562,x18566,x18567,x18568))
% 192.24/192.23 [1857]~E(x18571,x18572)+E(f811(x18573,x18574,x18575,x18576,x18571,x18577,x18578),f811(x18573,x18574,x18575,x18576,x18572,x18577,x18578))
% 192.24/192.23 [1858]~E(x18581,x18582)+E(f811(x18583,x18584,x18585,x18586,x18587,x18581,x18588),f811(x18583,x18584,x18585,x18586,x18587,x18582,x18588))
% 192.24/192.23 [1859]~E(x18591,x18592)+E(f811(x18593,x18594,x18595,x18596,x18597,x18598,x18591),f811(x18593,x18594,x18595,x18596,x18597,x18598,x18592))
% 192.24/192.23 [1860]~E(x18601,x18602)+E(f581(x18601,x18603,x18604,x18605,x18606,x18607),f581(x18602,x18603,x18604,x18605,x18606,x18607))
% 192.24/192.23 [1861]~E(x18611,x18612)+E(f581(x18613,x18611,x18614,x18615,x18616,x18617),f581(x18613,x18612,x18614,x18615,x18616,x18617))
% 192.24/192.23 [1862]~E(x18621,x18622)+E(f581(x18623,x18624,x18621,x18625,x18626,x18627),f581(x18623,x18624,x18622,x18625,x18626,x18627))
% 192.24/192.23 [1863]~E(x18631,x18632)+E(f581(x18633,x18634,x18635,x18631,x18636,x18637),f581(x18633,x18634,x18635,x18632,x18636,x18637))
% 192.24/192.23 [1864]~E(x18641,x18642)+E(f581(x18643,x18644,x18645,x18646,x18641,x18647),f581(x18643,x18644,x18645,x18646,x18642,x18647))
% 192.24/192.23 [1865]~E(x18651,x18652)+E(f581(x18653,x18654,x18655,x18656,x18657,x18651),f581(x18653,x18654,x18655,x18656,x18657,x18652))
% 192.24/192.23 [1866]~E(x18661,x18662)+E(f193(x18661,x18663,x18664,x18665),f193(x18662,x18663,x18664,x18665))
% 192.24/192.23 [1867]~E(x18671,x18672)+E(f193(x18673,x18671,x18674,x18675),f193(x18673,x18672,x18674,x18675))
% 192.24/192.23 [1868]~E(x18681,x18682)+E(f193(x18683,x18684,x18681,x18685),f193(x18683,x18684,x18682,x18685))
% 192.24/192.23 [1869]~E(x18691,x18692)+E(f193(x18693,x18694,x18695,x18691),f193(x18693,x18694,x18695,x18692))
% 192.24/192.23 [1870]~E(x18701,x18702)+E(f452(x18701,x18703,x18704),f452(x18702,x18703,x18704))
% 192.24/192.23 [1871]~E(x18711,x18712)+E(f452(x18713,x18711,x18714),f452(x18713,x18712,x18714))
% 192.24/192.23 [1872]~E(x18721,x18722)+E(f452(x18723,x18724,x18721),f452(x18723,x18724,x18722))
% 192.24/192.23 [1873]~E(x18731,x18732)+E(f681(x18731,x18733,x18734,x18735,x18736),f681(x18732,x18733,x18734,x18735,x18736))
% 192.24/192.23 [1874]~E(x18741,x18742)+E(f681(x18743,x18741,x18744,x18745,x18746),f681(x18743,x18742,x18744,x18745,x18746))
% 192.24/192.23 [1875]~E(x18751,x18752)+E(f681(x18753,x18754,x18751,x18755,x18756),f681(x18753,x18754,x18752,x18755,x18756))
% 192.24/192.23 [1876]~E(x18761,x18762)+E(f681(x18763,x18764,x18765,x18761,x18766),f681(x18763,x18764,x18765,x18762,x18766))
% 192.24/192.23 [1877]~E(x18771,x18772)+E(f681(x18773,x18774,x18775,x18776,x18771),f681(x18773,x18774,x18775,x18776,x18772))
% 192.24/192.23 [1878]~E(x18781,x18782)+E(f604(x18781,x18783,x18784),f604(x18782,x18783,x18784))
% 192.24/192.23 [1879]~E(x18791,x18792)+E(f604(x18793,x18791,x18794),f604(x18793,x18792,x18794))
% 192.24/192.23 [1880]~E(x18801,x18802)+E(f604(x18803,x18804,x18801),f604(x18803,x18804,x18802))
% 192.24/192.23 [1881]~E(x18811,x18812)+E(f723(x18811,x18813,x18814,x18815,x18816),f723(x18812,x18813,x18814,x18815,x18816))
% 192.24/192.23 [1882]~E(x18821,x18822)+E(f723(x18823,x18821,x18824,x18825,x18826),f723(x18823,x18822,x18824,x18825,x18826))
% 192.24/192.23 [1883]~E(x18831,x18832)+E(f723(x18833,x18834,x18831,x18835,x18836),f723(x18833,x18834,x18832,x18835,x18836))
% 192.24/192.23 [1884]~E(x18841,x18842)+E(f723(x18843,x18844,x18845,x18841,x18846),f723(x18843,x18844,x18845,x18842,x18846))
% 192.24/192.23 [1885]~E(x18851,x18852)+E(f723(x18853,x18854,x18855,x18856,x18851),f723(x18853,x18854,x18855,x18856,x18852))
% 192.24/192.23 [1886]~E(x18861,x18862)+E(f282(x18861,x18863,x18864,x18865),f282(x18862,x18863,x18864,x18865))
% 192.24/192.23 [1887]~E(x18871,x18872)+E(f282(x18873,x18871,x18874,x18875),f282(x18873,x18872,x18874,x18875))
% 192.24/192.23 [1888]~E(x18881,x18882)+E(f282(x18883,x18884,x18881,x18885),f282(x18883,x18884,x18882,x18885))
% 192.24/192.23 [1889]~E(x18891,x18892)+E(f282(x18893,x18894,x18895,x18891),f282(x18893,x18894,x18895,x18892))
% 192.24/192.23 [1890]~E(x18901,x18902)+E(f272(x18901),f272(x18902))
% 192.24/192.23 [1891]~E(x18911,x18912)+E(f501(x18911,x18913),f501(x18912,x18913))
% 192.24/192.23 [1892]~E(x18921,x18922)+E(f501(x18923,x18921),f501(x18923,x18922))
% 192.24/192.23 [1893]~E(x18931,x18932)+E(f215(x18931,x18933,x18934,x18935,x18936,x18937,x18938),f215(x18932,x18933,x18934,x18935,x18936,x18937,x18938))
% 192.24/192.23 [1894]~E(x18941,x18942)+E(f215(x18943,x18941,x18944,x18945,x18946,x18947,x18948),f215(x18943,x18942,x18944,x18945,x18946,x18947,x18948))
% 192.24/192.23 [1895]~E(x18951,x18952)+E(f215(x18953,x18954,x18951,x18955,x18956,x18957,x18958),f215(x18953,x18954,x18952,x18955,x18956,x18957,x18958))
% 192.24/192.23 [1896]~E(x18961,x18962)+E(f215(x18963,x18964,x18965,x18961,x18966,x18967,x18968),f215(x18963,x18964,x18965,x18962,x18966,x18967,x18968))
% 192.24/192.23 [1897]~E(x18971,x18972)+E(f215(x18973,x18974,x18975,x18976,x18971,x18977,x18978),f215(x18973,x18974,x18975,x18976,x18972,x18977,x18978))
% 192.24/192.23 [1898]~E(x18981,x18982)+E(f215(x18983,x18984,x18985,x18986,x18987,x18981,x18988),f215(x18983,x18984,x18985,x18986,x18987,x18982,x18988))
% 192.24/192.23 [1899]~E(x18991,x18992)+E(f215(x18993,x18994,x18995,x18996,x18997,x18998,x18991),f215(x18993,x18994,x18995,x18996,x18997,x18998,x18992))
% 192.24/192.23 [1900]~E(x19001,x19002)+E(f552(x19001,x19003,x19004,x19005,x19006),f552(x19002,x19003,x19004,x19005,x19006))
% 192.24/192.23 [1901]~E(x19011,x19012)+E(f552(x19013,x19011,x19014,x19015,x19016),f552(x19013,x19012,x19014,x19015,x19016))
% 192.24/192.23 [1902]~E(x19021,x19022)+E(f552(x19023,x19024,x19021,x19025,x19026),f552(x19023,x19024,x19022,x19025,x19026))
% 192.24/192.23 [1903]~E(x19031,x19032)+E(f552(x19033,x19034,x19035,x19031,x19036),f552(x19033,x19034,x19035,x19032,x19036))
% 192.24/192.23 [1904]~E(x19041,x19042)+E(f552(x19043,x19044,x19045,x19046,x19041),f552(x19043,x19044,x19045,x19046,x19042))
% 192.24/192.23 [1905]~E(x19051,x19052)+E(f634(x19051,x19053,x19054,x19055,x19056,x19057,x19058),f634(x19052,x19053,x19054,x19055,x19056,x19057,x19058))
% 192.24/192.23 [1906]~E(x19061,x19062)+E(f634(x19063,x19061,x19064,x19065,x19066,x19067,x19068),f634(x19063,x19062,x19064,x19065,x19066,x19067,x19068))
% 192.24/192.23 [1907]~E(x19071,x19072)+E(f634(x19073,x19074,x19071,x19075,x19076,x19077,x19078),f634(x19073,x19074,x19072,x19075,x19076,x19077,x19078))
% 192.24/192.23 [1908]~E(x19081,x19082)+E(f634(x19083,x19084,x19085,x19081,x19086,x19087,x19088),f634(x19083,x19084,x19085,x19082,x19086,x19087,x19088))
% 192.24/192.23 [1909]~E(x19091,x19092)+E(f634(x19093,x19094,x19095,x19096,x19091,x19097,x19098),f634(x19093,x19094,x19095,x19096,x19092,x19097,x19098))
% 192.24/192.23 [1910]~E(x19101,x19102)+E(f634(x19103,x19104,x19105,x19106,x19107,x19101,x19108),f634(x19103,x19104,x19105,x19106,x19107,x19102,x19108))
% 192.24/192.23 [1911]~E(x19111,x19112)+E(f634(x19113,x19114,x19115,x19116,x19117,x19118,x19111),f634(x19113,x19114,x19115,x19116,x19117,x19118,x19112))
% 192.24/192.23 [1912]~E(x19121,x19122)+E(f801(x19121,x19123,x19124,x19125),f801(x19122,x19123,x19124,x19125))
% 192.24/192.23 [1913]~E(x19131,x19132)+E(f801(x19133,x19131,x19134,x19135),f801(x19133,x19132,x19134,x19135))
% 192.24/192.23 [1914]~E(x19141,x19142)+E(f801(x19143,x19144,x19141,x19145),f801(x19143,x19144,x19142,x19145))
% 192.24/192.23 [1915]~E(x19151,x19152)+E(f801(x19153,x19154,x19155,x19151),f801(x19153,x19154,x19155,x19152))
% 192.24/192.23 [1916]~E(x19161,x19162)+E(f385(x19161,x19163,x19164,x19165),f385(x19162,x19163,x19164,x19165))
% 192.24/192.23 [1917]~E(x19171,x19172)+E(f385(x19173,x19171,x19174,x19175),f385(x19173,x19172,x19174,x19175))
% 192.24/192.23 [1918]~E(x19181,x19182)+E(f385(x19183,x19184,x19181,x19185),f385(x19183,x19184,x19182,x19185))
% 192.24/192.23 [1919]~E(x19191,x19192)+E(f385(x19193,x19194,x19195,x19191),f385(x19193,x19194,x19195,x19192))
% 192.24/192.23 [1920]~E(x19201,x19202)+E(f78(x19201,x19203,x19204,x19205,x19206),f78(x19202,x19203,x19204,x19205,x19206))
% 192.24/192.23 [1921]~E(x19211,x19212)+E(f78(x19213,x19211,x19214,x19215,x19216),f78(x19213,x19212,x19214,x19215,x19216))
% 192.24/192.23 [1922]~E(x19221,x19222)+E(f78(x19223,x19224,x19221,x19225,x19226),f78(x19223,x19224,x19222,x19225,x19226))
% 192.24/192.23 [1923]~E(x19231,x19232)+E(f78(x19233,x19234,x19235,x19231,x19236),f78(x19233,x19234,x19235,x19232,x19236))
% 192.24/192.23 [1924]~E(x19241,x19242)+E(f78(x19243,x19244,x19245,x19246,x19241),f78(x19243,x19244,x19245,x19246,x19242))
% 192.24/192.23 [1925]~E(x19251,x19252)+E(f737(x19251,x19253,x19254),f737(x19252,x19253,x19254))
% 192.24/192.23 [1926]~E(x19261,x19262)+E(f737(x19263,x19261,x19264),f737(x19263,x19262,x19264))
% 192.24/192.23 [1927]~E(x19271,x19272)+E(f737(x19273,x19274,x19271),f737(x19273,x19274,x19272))
% 192.24/192.23 [1928]~E(x19281,x19282)+E(f96(x19281,x19283,x19284),f96(x19282,x19283,x19284))
% 192.24/192.23 [1929]~E(x19291,x19292)+E(f96(x19293,x19291,x19294),f96(x19293,x19292,x19294))
% 192.24/192.23 [1930]~E(x19301,x19302)+E(f96(x19303,x19304,x19301),f96(x19303,x19304,x19302))
% 192.24/192.23 [1931]~E(x19311,x19312)+E(f294(x19311,x19313),f294(x19312,x19313))
% 192.24/192.23 [1932]~E(x19321,x19322)+E(f294(x19323,x19321),f294(x19323,x19322))
% 192.24/192.23 [1933]~E(x19331,x19332)+E(f889(x19331,x19333,x19334,x19335),f889(x19332,x19333,x19334,x19335))
% 192.24/192.23 [1934]~E(x19341,x19342)+E(f889(x19343,x19341,x19344,x19345),f889(x19343,x19342,x19344,x19345))
% 192.24/192.23 [1935]~E(x19351,x19352)+E(f889(x19353,x19354,x19351,x19355),f889(x19353,x19354,x19352,x19355))
% 192.24/192.23 [1936]~E(x19361,x19362)+E(f889(x19363,x19364,x19365,x19361),f889(x19363,x19364,x19365,x19362))
% 192.24/192.23 [1937]~E(x19371,x19372)+E(f425(x19371,x19373,x19374,x19375,x19376),f425(x19372,x19373,x19374,x19375,x19376))
% 192.24/192.23 [1938]~E(x19381,x19382)+E(f425(x19383,x19381,x19384,x19385,x19386),f425(x19383,x19382,x19384,x19385,x19386))
% 192.24/192.23 [1939]~E(x19391,x19392)+E(f425(x19393,x19394,x19391,x19395,x19396),f425(x19393,x19394,x19392,x19395,x19396))
% 192.24/192.23 [1940]~E(x19401,x19402)+E(f425(x19403,x19404,x19405,x19401,x19406),f425(x19403,x19404,x19405,x19402,x19406))
% 192.24/192.23 [1941]~E(x19411,x19412)+E(f425(x19413,x19414,x19415,x19416,x19411),f425(x19413,x19414,x19415,x19416,x19412))
% 192.24/192.23 [1942]~E(x19421,x19422)+E(f349(x19421,x19423),f349(x19422,x19423))
% 192.24/192.23 [1943]~E(x19431,x19432)+E(f349(x19433,x19431),f349(x19433,x19432))
% 192.24/192.23 [1944]~E(x19441,x19442)+E(f403(x19441,x19443,x19444),f403(x19442,x19443,x19444))
% 192.24/192.23 [1945]~E(x19451,x19452)+E(f403(x19453,x19451,x19454),f403(x19453,x19452,x19454))
% 192.24/192.23 [1946]~E(x19461,x19462)+E(f403(x19463,x19464,x19461),f403(x19463,x19464,x19462))
% 192.24/192.23 [1947]~E(x19471,x19472)+E(f206(x19471,x19473),f206(x19472,x19473))
% 192.24/192.23 [1948]~E(x19481,x19482)+E(f206(x19483,x19481),f206(x19483,x19482))
% 192.24/192.23 [1949]~E(x19491,x19492)+E(f725(x19491,x19493),f725(x19492,x19493))
% 192.24/192.23 [1950]~E(x19501,x19502)+E(f725(x19503,x19501),f725(x19503,x19502))
% 192.24/192.23 [1951]~E(x19511,x19512)+E(f656(x19511,x19513,x19514),f656(x19512,x19513,x19514))
% 192.24/192.23 [1952]~E(x19521,x19522)+E(f656(x19523,x19521,x19524),f656(x19523,x19522,x19524))
% 192.24/192.23 [1953]~E(x19531,x19532)+E(f656(x19533,x19534,x19531),f656(x19533,x19534,x19532))
% 192.24/192.23 [1954]~E(x19541,x19542)+E(f644(x19541,x19543,x19544),f644(x19542,x19543,x19544))
% 192.24/192.23 [1955]~E(x19551,x19552)+E(f644(x19553,x19551,x19554),f644(x19553,x19552,x19554))
% 192.24/192.23 [1956]~E(x19561,x19562)+E(f644(x19563,x19564,x19561),f644(x19563,x19564,x19562))
% 192.24/192.23 [1957]~E(x19571,x19572)+E(f885(x19571,x19573),f885(x19572,x19573))
% 192.24/192.23 [1958]~E(x19581,x19582)+E(f885(x19583,x19581),f885(x19583,x19582))
% 192.24/192.23 [1959]~E(x19591,x19592)+E(f451(x19591,x19593,x19594),f451(x19592,x19593,x19594))
% 192.24/192.23 [1960]~E(x19601,x19602)+E(f451(x19603,x19601,x19604),f451(x19603,x19602,x19604))
% 192.24/192.23 [1961]~E(x19611,x19612)+E(f451(x19613,x19614,x19611),f451(x19613,x19614,x19612))
% 192.24/192.23 [1962]~E(x19621,x19622)+E(f896(x19621,x19623,x19624),f896(x19622,x19623,x19624))
% 192.24/192.23 [1963]~E(x19631,x19632)+E(f896(x19633,x19631,x19634),f896(x19633,x19632,x19634))
% 192.24/192.23 [1964]~E(x19641,x19642)+E(f896(x19643,x19644,x19641),f896(x19643,x19644,x19642))
% 192.24/192.23 [1965]~E(x19651,x19652)+E(f561(x19651),f561(x19652))
% 192.24/192.23 [1966]~E(x19661,x19662)+E(f516(x19661,x19663,x19664,x19665,x19666,x19667,x19668),f516(x19662,x19663,x19664,x19665,x19666,x19667,x19668))
% 192.24/192.23 [1967]~E(x19671,x19672)+E(f516(x19673,x19671,x19674,x19675,x19676,x19677,x19678),f516(x19673,x19672,x19674,x19675,x19676,x19677,x19678))
% 192.24/192.23 [1968]~E(x19681,x19682)+E(f516(x19683,x19684,x19681,x19685,x19686,x19687,x19688),f516(x19683,x19684,x19682,x19685,x19686,x19687,x19688))
% 192.24/192.23 [1969]~E(x19691,x19692)+E(f516(x19693,x19694,x19695,x19691,x19696,x19697,x19698),f516(x19693,x19694,x19695,x19692,x19696,x19697,x19698))
% 192.24/192.23 [1970]~E(x19701,x19702)+E(f516(x19703,x19704,x19705,x19706,x19701,x19707,x19708),f516(x19703,x19704,x19705,x19706,x19702,x19707,x19708))
% 192.24/192.23 [1971]~E(x19711,x19712)+E(f516(x19713,x19714,x19715,x19716,x19717,x19711,x19718),f516(x19713,x19714,x19715,x19716,x19717,x19712,x19718))
% 192.24/192.23 [1972]~E(x19721,x19722)+E(f516(x19723,x19724,x19725,x19726,x19727,x19728,x19721),f516(x19723,x19724,x19725,x19726,x19727,x19728,x19722))
% 192.24/192.23 [1973]~E(x19731,x19732)+E(f835(x19731,x19733),f835(x19732,x19733))
% 192.24/192.23 [1974]~E(x19741,x19742)+E(f835(x19743,x19741),f835(x19743,x19742))
% 192.24/192.23 [1975]~E(x19751,x19752)+E(f355(x19751,x19753,x19754),f355(x19752,x19753,x19754))
% 192.24/192.23 [1976]~E(x19761,x19762)+E(f355(x19763,x19761,x19764),f355(x19763,x19762,x19764))
% 192.24/192.23 [1977]~E(x19771,x19772)+E(f355(x19773,x19774,x19771),f355(x19773,x19774,x19772))
% 192.24/192.23 [1978]~E(x19781,x19782)+E(f860(x19781,x19783),f860(x19782,x19783))
% 192.24/192.23 [1979]~E(x19791,x19792)+E(f860(x19793,x19791),f860(x19793,x19792))
% 192.24/192.23 [1980]~E(x19801,x19802)+E(f226(x19801,x19803,x19804),f226(x19802,x19803,x19804))
% 192.24/192.23 [1981]~E(x19811,x19812)+E(f226(x19813,x19811,x19814),f226(x19813,x19812,x19814))
% 192.24/192.23 [1982]~E(x19821,x19822)+E(f226(x19823,x19824,x19821),f226(x19823,x19824,x19822))
% 192.24/192.23 [1983]~E(x19831,x19832)+E(f585(x19831,x19833,x19834),f585(x19832,x19833,x19834))
% 192.24/192.23 [1984]~E(x19841,x19842)+E(f585(x19843,x19841,x19844),f585(x19843,x19842,x19844))
% 192.24/192.23 [1985]~E(x19851,x19852)+E(f585(x19853,x19854,x19851),f585(x19853,x19854,x19852))
% 192.24/192.23 [1986]~E(x19861,x19862)+E(f804(x19861,x19863),f804(x19862,x19863))
% 192.24/192.23 [1987]~E(x19871,x19872)+E(f804(x19873,x19871),f804(x19873,x19872))
% 192.24/192.23 [1988]~E(x19881,x19882)+E(f463(x19881,x19883,x19884,x19885,x19886,x19887),f463(x19882,x19883,x19884,x19885,x19886,x19887))
% 192.24/192.23 [1989]~E(x19891,x19892)+E(f463(x19893,x19891,x19894,x19895,x19896,x19897),f463(x19893,x19892,x19894,x19895,x19896,x19897))
% 192.24/192.23 [1990]~E(x19901,x19902)+E(f463(x19903,x19904,x19901,x19905,x19906,x19907),f463(x19903,x19904,x19902,x19905,x19906,x19907))
% 192.24/192.23 [1991]~E(x19911,x19912)+E(f463(x19913,x19914,x19915,x19911,x19916,x19917),f463(x19913,x19914,x19915,x19912,x19916,x19917))
% 192.24/192.23 [1992]~E(x19921,x19922)+E(f463(x19923,x19924,x19925,x19926,x19921,x19927),f463(x19923,x19924,x19925,x19926,x19922,x19927))
% 192.24/192.23 [1993]~E(x19931,x19932)+E(f463(x19933,x19934,x19935,x19936,x19937,x19931),f463(x19933,x19934,x19935,x19936,x19937,x19932))
% 192.24/192.23 [1994]~E(x19941,x19942)+E(f254(x19941,x19943,x19944),f254(x19942,x19943,x19944))
% 192.24/192.23 [1995]~E(x19951,x19952)+E(f254(x19953,x19951,x19954),f254(x19953,x19952,x19954))
% 192.24/192.23 [1996]~E(x19961,x19962)+E(f254(x19963,x19964,x19961),f254(x19963,x19964,x19962))
% 192.24/192.23 [1997]~E(x19971,x19972)+E(f568(x19971),f568(x19972))
% 192.24/192.23 [1998]~E(x19981,x19982)+E(f487(x19981,x19983),f487(x19982,x19983))
% 192.24/192.23 [1999]~E(x19991,x19992)+E(f487(x19993,x19991),f487(x19993,x19992))
% 192.24/192.23 [2000]~E(x20001,x20002)+E(f457(x20001,x20003),f457(x20002,x20003))
% 192.24/192.23 [2001]~E(x20011,x20012)+E(f457(x20013,x20011),f457(x20013,x20012))
% 192.24/192.23 [2002]~E(x20021,x20022)+E(f831(x20021),f831(x20022))
% 192.24/192.23 [2003]~E(x20031,x20032)+E(f630(x20031,x20033,x20034,x20035,x20036),f630(x20032,x20033,x20034,x20035,x20036))
% 192.24/192.23 [2004]~E(x20041,x20042)+E(f630(x20043,x20041,x20044,x20045,x20046),f630(x20043,x20042,x20044,x20045,x20046))
% 192.24/192.23 [2005]~E(x20051,x20052)+E(f630(x20053,x20054,x20051,x20055,x20056),f630(x20053,x20054,x20052,x20055,x20056))
% 192.24/192.23 [2006]~E(x20061,x20062)+E(f630(x20063,x20064,x20065,x20061,x20066),f630(x20063,x20064,x20065,x20062,x20066))
% 192.24/192.23 [2007]~E(x20071,x20072)+E(f630(x20073,x20074,x20075,x20076,x20071),f630(x20073,x20074,x20075,x20076,x20072))
% 192.24/192.23 [2008]~E(x20081,x20082)+E(f589(x20081,x20083,x20084,x20085),f589(x20082,x20083,x20084,x20085))
% 192.24/192.23 [2009]~E(x20091,x20092)+E(f589(x20093,x20091,x20094,x20095),f589(x20093,x20092,x20094,x20095))
% 192.24/192.23 [2010]~E(x20101,x20102)+E(f589(x20103,x20104,x20101,x20105),f589(x20103,x20104,x20102,x20105))
% 192.24/192.23 [2011]~E(x20111,x20112)+E(f589(x20113,x20114,x20115,x20111),f589(x20113,x20114,x20115,x20112))
% 192.24/192.23 [2012]~E(x20121,x20122)+E(f400(x20121,x20123,x20124,x20125),f400(x20122,x20123,x20124,x20125))
% 192.24/192.23 [2013]~E(x20131,x20132)+E(f400(x20133,x20131,x20134,x20135),f400(x20133,x20132,x20134,x20135))
% 192.24/192.23 [2014]~E(x20141,x20142)+E(f400(x20143,x20144,x20141,x20145),f400(x20143,x20144,x20142,x20145))
% 192.24/192.23 [2015]~E(x20151,x20152)+E(f400(x20153,x20154,x20155,x20151),f400(x20153,x20154,x20155,x20152))
% 192.24/192.23 [2016]~E(x20161,x20162)+E(f152(x20161,x20163,x20164,x20165,x20166),f152(x20162,x20163,x20164,x20165,x20166))
% 192.24/192.23 [2017]~E(x20171,x20172)+E(f152(x20173,x20171,x20174,x20175,x20176),f152(x20173,x20172,x20174,x20175,x20176))
% 192.24/192.23 [2018]~E(x20181,x20182)+E(f152(x20183,x20184,x20181,x20185,x20186),f152(x20183,x20184,x20182,x20185,x20186))
% 192.24/192.23 [2019]~E(x20191,x20192)+E(f152(x20193,x20194,x20195,x20191,x20196),f152(x20193,x20194,x20195,x20192,x20196))
% 192.24/192.23 [2020]~E(x20201,x20202)+E(f152(x20203,x20204,x20205,x20206,x20201),f152(x20203,x20204,x20205,x20206,x20202))
% 192.24/192.23 [2021]~E(x20211,x20212)+E(f388(x20211,x20213,x20214,x20215),f388(x20212,x20213,x20214,x20215))
% 192.24/192.23 [2022]~E(x20221,x20222)+E(f388(x20223,x20221,x20224,x20225),f388(x20223,x20222,x20224,x20225))
% 192.24/192.23 [2023]~E(x20231,x20232)+E(f388(x20233,x20234,x20231,x20235),f388(x20233,x20234,x20232,x20235))
% 192.24/192.23 [2024]~E(x20241,x20242)+E(f388(x20243,x20244,x20245,x20241),f388(x20243,x20244,x20245,x20242))
% 192.24/192.23 [2025]~E(x20251,x20252)+E(f97(x20251,x20253,x20254,x20255),f97(x20252,x20253,x20254,x20255))
% 192.24/192.23 [2026]~E(x20261,x20262)+E(f97(x20263,x20261,x20264,x20265),f97(x20263,x20262,x20264,x20265))
% 192.24/192.23 [2027]~E(x20271,x20272)+E(f97(x20273,x20274,x20271,x20275),f97(x20273,x20274,x20272,x20275))
% 192.24/192.23 [2028]~E(x20281,x20282)+E(f97(x20283,x20284,x20285,x20281),f97(x20283,x20284,x20285,x20282))
% 192.24/192.23 [2029]~E(x20291,x20292)+E(f733(x20291,x20293,x20294),f733(x20292,x20293,x20294))
% 192.24/192.23 [2030]~E(x20301,x20302)+E(f733(x20303,x20301,x20304),f733(x20303,x20302,x20304))
% 192.24/192.23 [2031]~E(x20311,x20312)+E(f733(x20313,x20314,x20311),f733(x20313,x20314,x20312))
% 192.24/192.23 [2032]~E(x20321,x20322)+E(f514(x20321,x20323,x20324,x20325,x20326,x20327,x20328),f514(x20322,x20323,x20324,x20325,x20326,x20327,x20328))
% 192.24/192.23 [2033]~E(x20331,x20332)+E(f514(x20333,x20331,x20334,x20335,x20336,x20337,x20338),f514(x20333,x20332,x20334,x20335,x20336,x20337,x20338))
% 192.24/192.23 [2034]~E(x20341,x20342)+E(f514(x20343,x20344,x20341,x20345,x20346,x20347,x20348),f514(x20343,x20344,x20342,x20345,x20346,x20347,x20348))
% 192.24/192.23 [2035]~E(x20351,x20352)+E(f514(x20353,x20354,x20355,x20351,x20356,x20357,x20358),f514(x20353,x20354,x20355,x20352,x20356,x20357,x20358))
% 192.24/192.23 [2036]~E(x20361,x20362)+E(f514(x20363,x20364,x20365,x20366,x20361,x20367,x20368),f514(x20363,x20364,x20365,x20366,x20362,x20367,x20368))
% 192.24/192.23 [2037]~E(x20371,x20372)+E(f514(x20373,x20374,x20375,x20376,x20377,x20371,x20378),f514(x20373,x20374,x20375,x20376,x20377,x20372,x20378))
% 192.24/192.23 [2038]~E(x20381,x20382)+E(f514(x20383,x20384,x20385,x20386,x20387,x20388,x20381),f514(x20383,x20384,x20385,x20386,x20387,x20388,x20382))
% 192.24/192.23 [2039]~E(x20391,x20392)+E(f529(x20391,x20393,x20394,x20395,x20396),f529(x20392,x20393,x20394,x20395,x20396))
% 192.24/192.23 [2040]~E(x20401,x20402)+E(f529(x20403,x20401,x20404,x20405,x20406),f529(x20403,x20402,x20404,x20405,x20406))
% 192.24/192.23 [2041]~E(x20411,x20412)+E(f529(x20413,x20414,x20411,x20415,x20416),f529(x20413,x20414,x20412,x20415,x20416))
% 192.24/192.23 [2042]~E(x20421,x20422)+E(f529(x20423,x20424,x20425,x20421,x20426),f529(x20423,x20424,x20425,x20422,x20426))
% 192.24/192.23 [2043]~E(x20431,x20432)+E(f529(x20433,x20434,x20435,x20436,x20431),f529(x20433,x20434,x20435,x20436,x20432))
% 192.24/192.23 [2044]~E(x20441,x20442)+E(f511(x20441,x20443,x20444),f511(x20442,x20443,x20444))
% 192.24/192.23 [2045]~E(x20451,x20452)+E(f511(x20453,x20451,x20454),f511(x20453,x20452,x20454))
% 192.24/192.23 [2046]~E(x20461,x20462)+E(f511(x20463,x20464,x20461),f511(x20463,x20464,x20462))
% 192.24/192.23 [2047]~E(x20471,x20472)+E(f241(x20471,x20473),f241(x20472,x20473))
% 192.24/192.23 [2048]~E(x20481,x20482)+E(f241(x20483,x20481),f241(x20483,x20482))
% 192.24/192.23 [2049]~E(x20491,x20492)+E(f658(x20491,x20493,x20494),f658(x20492,x20493,x20494))
% 192.24/192.23 [2050]~E(x20501,x20502)+E(f658(x20503,x20501,x20504),f658(x20503,x20502,x20504))
% 192.24/192.23 [2051]~E(x20511,x20512)+E(f658(x20513,x20514,x20511),f658(x20513,x20514,x20512))
% 192.24/192.23 [2052]~E(x20521,x20522)+E(f340(x20521),f340(x20522))
% 192.24/192.23 [2053]~E(x20531,x20532)+E(f443(x20531,x20533,x20534,x20535),f443(x20532,x20533,x20534,x20535))
% 192.24/192.23 [2054]~E(x20541,x20542)+E(f443(x20543,x20541,x20544,x20545),f443(x20543,x20542,x20544,x20545))
% 192.24/192.23 [2055]~E(x20551,x20552)+E(f443(x20553,x20554,x20551,x20555),f443(x20553,x20554,x20552,x20555))
% 192.24/192.23 [2056]~E(x20561,x20562)+E(f443(x20563,x20564,x20565,x20561),f443(x20563,x20564,x20565,x20562))
% 192.24/192.23 [2057]~E(x20571,x20572)+E(f134(x20571,x20573,x20574,x20575),f134(x20572,x20573,x20574,x20575))
% 192.24/192.23 [2058]~E(x20581,x20582)+E(f134(x20583,x20581,x20584,x20585),f134(x20583,x20582,x20584,x20585))
% 192.24/192.23 [2059]~E(x20591,x20592)+E(f134(x20593,x20594,x20591,x20595),f134(x20593,x20594,x20592,x20595))
% 192.24/192.23 [2060]~E(x20601,x20602)+E(f134(x20603,x20604,x20605,x20601),f134(x20603,x20604,x20605,x20602))
% 192.24/192.23 [2061]~E(x20611,x20612)+E(f270(x20611,x20613,x20614),f270(x20612,x20613,x20614))
% 192.24/192.23 [2062]~E(x20621,x20622)+E(f270(x20623,x20621,x20624),f270(x20623,x20622,x20624))
% 192.24/192.23 [2063]~E(x20631,x20632)+E(f270(x20633,x20634,x20631),f270(x20633,x20634,x20632))
% 192.24/192.23 [2064]~E(x20641,x20642)+E(f803(x20641,x20643,x20644),f803(x20642,x20643,x20644))
% 192.24/192.23 [2065]~E(x20651,x20652)+E(f803(x20653,x20651,x20654),f803(x20653,x20652,x20654))
% 192.24/192.23 [2066]~E(x20661,x20662)+E(f803(x20663,x20664,x20661),f803(x20663,x20664,x20662))
% 192.24/192.23 [2067]~E(x20671,x20672)+E(f813(x20671),f813(x20672))
% 192.24/192.23 [2068]~E(x20681,x20682)+E(f488(x20681,x20683,x20684),f488(x20682,x20683,x20684))
% 192.24/192.23 [2069]~E(x20691,x20692)+E(f488(x20693,x20691,x20694),f488(x20693,x20692,x20694))
% 192.24/192.23 [2070]~E(x20701,x20702)+E(f488(x20703,x20704,x20701),f488(x20703,x20704,x20702))
% 192.24/192.23 [2071]~E(x20711,x20712)+E(f633(x20711,x20713,x20714,x20715,x20716),f633(x20712,x20713,x20714,x20715,x20716))
% 192.24/192.23 [2072]~E(x20721,x20722)+E(f633(x20723,x20721,x20724,x20725,x20726),f633(x20723,x20722,x20724,x20725,x20726))
% 192.24/192.23 [2073]~E(x20731,x20732)+E(f633(x20733,x20734,x20731,x20735,x20736),f633(x20733,x20734,x20732,x20735,x20736))
% 192.24/192.23 [2074]~E(x20741,x20742)+E(f633(x20743,x20744,x20745,x20741,x20746),f633(x20743,x20744,x20745,x20742,x20746))
% 192.24/192.23 [2075]~E(x20751,x20752)+E(f633(x20753,x20754,x20755,x20756,x20751),f633(x20753,x20754,x20755,x20756,x20752))
% 192.24/192.23 [2076]~E(x20761,x20762)+E(f420(x20761,x20763,x20764),f420(x20762,x20763,x20764))
% 192.24/192.23 [2077]~E(x20771,x20772)+E(f420(x20773,x20771,x20774),f420(x20773,x20772,x20774))
% 192.24/192.23 [2078]~E(x20781,x20782)+E(f420(x20783,x20784,x20781),f420(x20783,x20784,x20782))
% 192.24/192.23 [2079]~E(x20791,x20792)+E(f445(x20791,x20793,x20794,x20795,x20796,x20797),f445(x20792,x20793,x20794,x20795,x20796,x20797))
% 192.24/192.23 [2080]~E(x20801,x20802)+E(f445(x20803,x20801,x20804,x20805,x20806,x20807),f445(x20803,x20802,x20804,x20805,x20806,x20807))
% 192.24/192.23 [2081]~E(x20811,x20812)+E(f445(x20813,x20814,x20811,x20815,x20816,x20817),f445(x20813,x20814,x20812,x20815,x20816,x20817))
% 192.24/192.23 [2082]~E(x20821,x20822)+E(f445(x20823,x20824,x20825,x20821,x20826,x20827),f445(x20823,x20824,x20825,x20822,x20826,x20827))
% 192.24/192.23 [2083]~E(x20831,x20832)+E(f445(x20833,x20834,x20835,x20836,x20831,x20837),f445(x20833,x20834,x20835,x20836,x20832,x20837))
% 192.24/192.23 [2084]~E(x20841,x20842)+E(f445(x20843,x20844,x20845,x20846,x20847,x20841),f445(x20843,x20844,x20845,x20846,x20847,x20842))
% 192.24/192.23 [2085]~E(x20851,x20852)+E(f620(x20851,x20853,x20854,x20855,x20856),f620(x20852,x20853,x20854,x20855,x20856))
% 192.24/192.23 [2086]~E(x20861,x20862)+E(f620(x20863,x20861,x20864,x20865,x20866),f620(x20863,x20862,x20864,x20865,x20866))
% 192.24/192.23 [2087]~E(x20871,x20872)+E(f620(x20873,x20874,x20871,x20875,x20876),f620(x20873,x20874,x20872,x20875,x20876))
% 192.24/192.23 [2088]~E(x20881,x20882)+E(f620(x20883,x20884,x20885,x20881,x20886),f620(x20883,x20884,x20885,x20882,x20886))
% 192.24/192.23 [2089]~E(x20891,x20892)+E(f620(x20893,x20894,x20895,x20896,x20891),f620(x20893,x20894,x20895,x20896,x20892))
% 192.24/192.23 [2090]~E(x20901,x20902)+E(f871(x20901,x20903,x20904,x20905,x20906),f871(x20902,x20903,x20904,x20905,x20906))
% 192.24/192.23 [2091]~E(x20911,x20912)+E(f871(x20913,x20911,x20914,x20915,x20916),f871(x20913,x20912,x20914,x20915,x20916))
% 192.24/192.23 [2092]~E(x20921,x20922)+E(f871(x20923,x20924,x20921,x20925,x20926),f871(x20923,x20924,x20922,x20925,x20926))
% 192.24/192.23 [2093]~E(x20931,x20932)+E(f871(x20933,x20934,x20935,x20931,x20936),f871(x20933,x20934,x20935,x20932,x20936))
% 192.24/192.23 [2094]~E(x20941,x20942)+E(f871(x20943,x20944,x20945,x20946,x20941),f871(x20943,x20944,x20945,x20946,x20942))
% 192.24/192.23 [2095]~E(x20951,x20952)+E(f833(x20951,x20953,x20954),f833(x20952,x20953,x20954))
% 192.24/192.23 [2096]~E(x20961,x20962)+E(f833(x20963,x20961,x20964),f833(x20963,x20962,x20964))
% 192.24/192.23 [2097]~E(x20971,x20972)+E(f833(x20973,x20974,x20971),f833(x20973,x20974,x20972))
% 192.24/192.23 [2098]~E(x20981,x20982)+E(f421(x20981,x20983,x20984),f421(x20982,x20983,x20984))
% 192.24/192.23 [2099]~E(x20991,x20992)+E(f421(x20993,x20991,x20994),f421(x20993,x20992,x20994))
% 192.24/192.23 [2100]~E(x21001,x21002)+E(f421(x21003,x21004,x21001),f421(x21003,x21004,x21002))
% 192.24/192.23 [2101]~E(x21011,x21012)+E(f527(x21011,x21013,x21014,x21015),f527(x21012,x21013,x21014,x21015))
% 192.24/192.23 [2102]~E(x21021,x21022)+E(f527(x21023,x21021,x21024,x21025),f527(x21023,x21022,x21024,x21025))
% 192.24/192.23 [2103]~E(x21031,x21032)+E(f527(x21033,x21034,x21031,x21035),f527(x21033,x21034,x21032,x21035))
% 192.24/192.23 [2104]~E(x21041,x21042)+E(f527(x21043,x21044,x21045,x21041),f527(x21043,x21044,x21045,x21042))
% 192.24/192.23 [2105]~E(x21051,x21052)+E(f858(x21051,x21053,x21054,x21055),f858(x21052,x21053,x21054,x21055))
% 192.24/192.23 [2106]~E(x21061,x21062)+E(f858(x21063,x21061,x21064,x21065),f858(x21063,x21062,x21064,x21065))
% 192.24/192.23 [2107]~E(x21071,x21072)+E(f858(x21073,x21074,x21071,x21075),f858(x21073,x21074,x21072,x21075))
% 192.24/192.23 [2108]~E(x21081,x21082)+E(f858(x21083,x21084,x21085,x21081),f858(x21083,x21084,x21085,x21082))
% 192.24/192.23 [2109]~E(x21091,x21092)+E(f766(x21091,x21093,x21094,x21095,x21096),f766(x21092,x21093,x21094,x21095,x21096))
% 192.24/192.23 [2110]~E(x21101,x21102)+E(f766(x21103,x21101,x21104,x21105,x21106),f766(x21103,x21102,x21104,x21105,x21106))
% 192.24/192.23 [2111]~E(x21111,x21112)+E(f766(x21113,x21114,x21111,x21115,x21116),f766(x21113,x21114,x21112,x21115,x21116))
% 192.24/192.23 [2112]~E(x21121,x21122)+E(f766(x21123,x21124,x21125,x21121,x21126),f766(x21123,x21124,x21125,x21122,x21126))
% 192.24/192.23 [2113]~E(x21131,x21132)+E(f766(x21133,x21134,x21135,x21136,x21131),f766(x21133,x21134,x21135,x21136,x21132))
% 192.24/192.23 [2114]~E(x21141,x21142)+E(f800(x21141,x21143,x21144,x21145,x21146),f800(x21142,x21143,x21144,x21145,x21146))
% 192.24/192.23 [2115]~E(x21151,x21152)+E(f800(x21153,x21151,x21154,x21155,x21156),f800(x21153,x21152,x21154,x21155,x21156))
% 192.24/192.23 [2116]~E(x21161,x21162)+E(f800(x21163,x21164,x21161,x21165,x21166),f800(x21163,x21164,x21162,x21165,x21166))
% 192.24/192.23 [2117]~E(x21171,x21172)+E(f800(x21173,x21174,x21175,x21171,x21176),f800(x21173,x21174,x21175,x21172,x21176))
% 192.24/192.23 [2118]~E(x21181,x21182)+E(f800(x21183,x21184,x21185,x21186,x21181),f800(x21183,x21184,x21185,x21186,x21182))
% 192.24/192.23 [2119]~E(x21191,x21192)+E(f507(x21191,x21193,x21194,x21195,x21196,x21197),f507(x21192,x21193,x21194,x21195,x21196,x21197))
% 192.24/192.23 [2120]~E(x21201,x21202)+E(f507(x21203,x21201,x21204,x21205,x21206,x21207),f507(x21203,x21202,x21204,x21205,x21206,x21207))
% 192.24/192.23 [2121]~E(x21211,x21212)+E(f507(x21213,x21214,x21211,x21215,x21216,x21217),f507(x21213,x21214,x21212,x21215,x21216,x21217))
% 192.24/192.23 [2122]~E(x21221,x21222)+E(f507(x21223,x21224,x21225,x21221,x21226,x21227),f507(x21223,x21224,x21225,x21222,x21226,x21227))
% 192.24/192.23 [2123]~E(x21231,x21232)+E(f507(x21233,x21234,x21235,x21236,x21231,x21237),f507(x21233,x21234,x21235,x21236,x21232,x21237))
% 192.24/192.23 [2124]~E(x21241,x21242)+E(f507(x21243,x21244,x21245,x21246,x21247,x21241),f507(x21243,x21244,x21245,x21246,x21247,x21242))
% 192.24/192.23 [2125]~E(x21251,x21252)+E(f829(x21251,x21253),f829(x21252,x21253))
% 192.24/192.23 [2126]~E(x21261,x21262)+E(f829(x21263,x21261),f829(x21263,x21262))
% 192.24/192.23 [2127]~E(x21271,x21272)+E(f785(x21271,x21273,x21274,x21275),f785(x21272,x21273,x21274,x21275))
% 192.24/192.23 [2128]~E(x21281,x21282)+E(f785(x21283,x21281,x21284,x21285),f785(x21283,x21282,x21284,x21285))
% 192.24/192.23 [2129]~E(x21291,x21292)+E(f785(x21293,x21294,x21291,x21295),f785(x21293,x21294,x21292,x21295))
% 192.24/192.23 [2130]~E(x21301,x21302)+E(f785(x21303,x21304,x21305,x21301),f785(x21303,x21304,x21305,x21302))
% 192.24/192.23 [2131]~E(x21311,x21312)+E(f851(x21311),f851(x21312))
% 192.24/192.23 [2132]~E(x21321,x21322)+E(f708(x21321,x21323,x21324,x21325),f708(x21322,x21323,x21324,x21325))
% 192.24/192.23 [2133]~E(x21331,x21332)+E(f708(x21333,x21331,x21334,x21335),f708(x21333,x21332,x21334,x21335))
% 192.24/192.23 [2134]~E(x21341,x21342)+E(f708(x21343,x21344,x21341,x21345),f708(x21343,x21344,x21342,x21345))
% 192.24/192.23 [2135]~E(x21351,x21352)+E(f708(x21353,x21354,x21355,x21351),f708(x21353,x21354,x21355,x21352))
% 192.24/192.23 [2136]~E(x21361,x21362)+E(f405(x21361,x21363,x21364,x21365,x21366),f405(x21362,x21363,x21364,x21365,x21366))
% 192.24/192.23 [2137]~E(x21371,x21372)+E(f405(x21373,x21371,x21374,x21375,x21376),f405(x21373,x21372,x21374,x21375,x21376))
% 192.24/192.23 [2138]~E(x21381,x21382)+E(f405(x21383,x21384,x21381,x21385,x21386),f405(x21383,x21384,x21382,x21385,x21386))
% 192.24/192.23 [2139]~E(x21391,x21392)+E(f405(x21393,x21394,x21395,x21391,x21396),f405(x21393,x21394,x21395,x21392,x21396))
% 192.24/192.23 [2140]~E(x21401,x21402)+E(f405(x21403,x21404,x21405,x21406,x21401),f405(x21403,x21404,x21405,x21406,x21402))
% 192.24/192.23 [2141]~E(x21411,x21412)+E(f648(x21411,x21413,x21414,x21415),f648(x21412,x21413,x21414,x21415))
% 192.24/192.23 [2142]~E(x21421,x21422)+E(f648(x21423,x21421,x21424,x21425),f648(x21423,x21422,x21424,x21425))
% 192.24/192.23 [2143]~E(x21431,x21432)+E(f648(x21433,x21434,x21431,x21435),f648(x21433,x21434,x21432,x21435))
% 192.24/192.23 [2144]~E(x21441,x21442)+E(f648(x21443,x21444,x21445,x21441),f648(x21443,x21444,x21445,x21442))
% 192.24/192.23 [2145]~E(x21451,x21452)+E(f446(x21451),f446(x21452))
% 192.24/192.23 [2146]~E(x21461,x21462)+E(f211(x21461,x21463,x21464,x21465),f211(x21462,x21463,x21464,x21465))
% 192.24/192.23 [2147]~E(x21471,x21472)+E(f211(x21473,x21471,x21474,x21475),f211(x21473,x21472,x21474,x21475))
% 192.24/192.23 [2148]~E(x21481,x21482)+E(f211(x21483,x21484,x21481,x21485),f211(x21483,x21484,x21482,x21485))
% 192.24/192.23 [2149]~E(x21491,x21492)+E(f211(x21493,x21494,x21495,x21491),f211(x21493,x21494,x21495,x21492))
% 192.24/192.23 [2150]~E(x21501,x21502)+E(f366(x21501,x21503,x21504),f366(x21502,x21503,x21504))
% 192.24/192.23 [2151]~E(x21511,x21512)+E(f366(x21513,x21511,x21514),f366(x21513,x21512,x21514))
% 192.24/192.23 [2152]~E(x21521,x21522)+E(f366(x21523,x21524,x21521),f366(x21523,x21524,x21522))
% 192.24/192.23 [2153]~E(x21531,x21532)+E(f251(x21531,x21533,x21534,x21535,x21536,x21537),f251(x21532,x21533,x21534,x21535,x21536,x21537))
% 192.24/192.23 [2154]~E(x21541,x21542)+E(f251(x21543,x21541,x21544,x21545,x21546,x21547),f251(x21543,x21542,x21544,x21545,x21546,x21547))
% 192.24/192.23 [2155]~E(x21551,x21552)+E(f251(x21553,x21554,x21551,x21555,x21556,x21557),f251(x21553,x21554,x21552,x21555,x21556,x21557))
% 192.24/192.23 [2156]~E(x21561,x21562)+E(f251(x21563,x21564,x21565,x21561,x21566,x21567),f251(x21563,x21564,x21565,x21562,x21566,x21567))
% 192.24/192.23 [2157]~E(x21571,x21572)+E(f251(x21573,x21574,x21575,x21576,x21571,x21577),f251(x21573,x21574,x21575,x21576,x21572,x21577))
% 192.24/192.23 [2158]~E(x21581,x21582)+E(f251(x21583,x21584,x21585,x21586,x21587,x21581),f251(x21583,x21584,x21585,x21586,x21587,x21582))
% 192.24/192.23 [2159]~E(x21591,x21592)+E(f875(x21591,x21593,x21594,x21595,x21596,x21597),f875(x21592,x21593,x21594,x21595,x21596,x21597))
% 192.24/192.23 [2160]~E(x21601,x21602)+E(f875(x21603,x21601,x21604,x21605,x21606,x21607),f875(x21603,x21602,x21604,x21605,x21606,x21607))
% 192.24/192.23 [2161]~E(x21611,x21612)+E(f875(x21613,x21614,x21611,x21615,x21616,x21617),f875(x21613,x21614,x21612,x21615,x21616,x21617))
% 192.24/192.23 [2162]~E(x21621,x21622)+E(f875(x21623,x21624,x21625,x21621,x21626,x21627),f875(x21623,x21624,x21625,x21622,x21626,x21627))
% 192.24/192.23 [2163]~E(x21631,x21632)+E(f875(x21633,x21634,x21635,x21636,x21631,x21637),f875(x21633,x21634,x21635,x21636,x21632,x21637))
% 192.24/192.23 [2164]~E(x21641,x21642)+E(f875(x21643,x21644,x21645,x21646,x21647,x21641),f875(x21643,x21644,x21645,x21646,x21647,x21642))
% 192.24/192.23 [2165]~E(x21651,x21652)+E(f426(x21651,x21653),f426(x21652,x21653))
% 192.24/192.23 [2166]~E(x21661,x21662)+E(f426(x21663,x21661),f426(x21663,x21662))
% 192.24/192.23 [2167]~E(x21671,x21672)+E(f892(x21671,x21673,x21674,x21675),f892(x21672,x21673,x21674,x21675))
% 192.24/192.23 [2168]~E(x21681,x21682)+E(f892(x21683,x21681,x21684,x21685),f892(x21683,x21682,x21684,x21685))
% 192.24/192.23 [2169]~E(x21691,x21692)+E(f892(x21693,x21694,x21691,x21695),f892(x21693,x21694,x21692,x21695))
% 192.24/192.23 [2170]~E(x21701,x21702)+E(f892(x21703,x21704,x21705,x21701),f892(x21703,x21704,x21705,x21702))
% 192.24/192.23 [2171]~E(x21711,x21712)+E(f726(x21711,x21713,x21714),f726(x21712,x21713,x21714))
% 192.24/192.23 [2172]~E(x21721,x21722)+E(f726(x21723,x21721,x21724),f726(x21723,x21722,x21724))
% 192.24/192.23 [2173]~E(x21731,x21732)+E(f726(x21733,x21734,x21731),f726(x21733,x21734,x21732))
% 192.24/192.23 [2174]~E(x21741,x21742)+E(f797(x21741,x21743,x21744,x21745),f797(x21742,x21743,x21744,x21745))
% 192.24/192.23 [2175]~E(x21751,x21752)+E(f797(x21753,x21751,x21754,x21755),f797(x21753,x21752,x21754,x21755))
% 192.24/192.23 [2176]~E(x21761,x21762)+E(f797(x21763,x21764,x21761,x21765),f797(x21763,x21764,x21762,x21765))
% 192.24/192.23 [2177]~E(x21771,x21772)+E(f797(x21773,x21774,x21775,x21771),f797(x21773,x21774,x21775,x21772))
% 192.24/192.23 [2178]~E(x21781,x21782)+E(f675(x21781,x21783),f675(x21782,x21783))
% 192.24/192.23 [2179]~E(x21791,x21792)+E(f675(x21793,x21791),f675(x21793,x21792))
% 192.24/192.23 [2180]~E(x21801,x21802)+E(f673(x21801,x21803,x21804,x21805),f673(x21802,x21803,x21804,x21805))
% 192.24/192.23 [2181]~E(x21811,x21812)+E(f673(x21813,x21811,x21814,x21815),f673(x21813,x21812,x21814,x21815))
% 192.24/192.23 [2182]~E(x21821,x21822)+E(f673(x21823,x21824,x21821,x21825),f673(x21823,x21824,x21822,x21825))
% 192.24/192.23 [2183]~E(x21831,x21832)+E(f673(x21833,x21834,x21835,x21831),f673(x21833,x21834,x21835,x21832))
% 192.24/192.23 [2184]~E(x21841,x21842)+E(f351(x21841),f351(x21842))
% 192.24/192.23 [2185]~E(x21851,x21852)+E(f345(x21851,x21853),f345(x21852,x21853))
% 192.24/192.23 [2186]~E(x21861,x21862)+E(f345(x21863,x21861),f345(x21863,x21862))
% 192.24/192.23 [2187]~E(x21871,x21872)+E(f890(x21871,x21873,x21874,x21875),f890(x21872,x21873,x21874,x21875))
% 192.24/192.23 [2188]~E(x21881,x21882)+E(f890(x21883,x21881,x21884,x21885),f890(x21883,x21882,x21884,x21885))
% 192.24/192.23 [2189]~E(x21891,x21892)+E(f890(x21893,x21894,x21891,x21895),f890(x21893,x21894,x21892,x21895))
% 192.24/192.23 [2190]~E(x21901,x21902)+E(f890(x21903,x21904,x21905,x21901),f890(x21903,x21904,x21905,x21902))
% 192.24/192.23 [2191]~E(x21911,x21912)+E(f383(x21911,x21913,x21914,x21915),f383(x21912,x21913,x21914,x21915))
% 192.24/192.23 [2192]~E(x21921,x21922)+E(f383(x21923,x21921,x21924,x21925),f383(x21923,x21922,x21924,x21925))
% 192.24/192.23 [2193]~E(x21931,x21932)+E(f383(x21933,x21934,x21931,x21935),f383(x21933,x21934,x21932,x21935))
% 192.24/192.23 [2194]~E(x21941,x21942)+E(f383(x21943,x21944,x21945,x21941),f383(x21943,x21944,x21945,x21942))
% 192.24/192.23 [2195]~E(x21951,x21952)+E(f579(x21951,x21953,x21954,x21955,x21956,x21957),f579(x21952,x21953,x21954,x21955,x21956,x21957))
% 192.24/192.23 [2196]~E(x21961,x21962)+E(f579(x21963,x21961,x21964,x21965,x21966,x21967),f579(x21963,x21962,x21964,x21965,x21966,x21967))
% 192.24/192.23 [2197]~E(x21971,x21972)+E(f579(x21973,x21974,x21971,x21975,x21976,x21977),f579(x21973,x21974,x21972,x21975,x21976,x21977))
% 192.24/192.23 [2198]~E(x21981,x21982)+E(f579(x21983,x21984,x21985,x21981,x21986,x21987),f579(x21983,x21984,x21985,x21982,x21986,x21987))
% 192.24/192.23 [2199]~E(x21991,x21992)+E(f579(x21993,x21994,x21995,x21996,x21991,x21997),f579(x21993,x21994,x21995,x21996,x21992,x21997))
% 192.24/192.23 [2200]~E(x22001,x22002)+E(f579(x22003,x22004,x22005,x22006,x22007,x22001),f579(x22003,x22004,x22005,x22006,x22007,x22002))
% 192.24/192.23 [2201]~E(x22011,x22012)+E(f334(x22011),f334(x22012))
% 192.24/192.23 [2202]~E(x22021,x22022)+E(f508(x22021,x22023,x22024,x22025,x22026,x22027),f508(x22022,x22023,x22024,x22025,x22026,x22027))
% 192.24/192.23 [2203]~E(x22031,x22032)+E(f508(x22033,x22031,x22034,x22035,x22036,x22037),f508(x22033,x22032,x22034,x22035,x22036,x22037))
% 192.24/192.23 [2204]~E(x22041,x22042)+E(f508(x22043,x22044,x22041,x22045,x22046,x22047),f508(x22043,x22044,x22042,x22045,x22046,x22047))
% 192.24/192.23 [2205]~E(x22051,x22052)+E(f508(x22053,x22054,x22055,x22051,x22056,x22057),f508(x22053,x22054,x22055,x22052,x22056,x22057))
% 192.24/192.23 [2206]~E(x22061,x22062)+E(f508(x22063,x22064,x22065,x22066,x22061,x22067),f508(x22063,x22064,x22065,x22066,x22062,x22067))
% 192.24/192.23 [2207]~E(x22071,x22072)+E(f508(x22073,x22074,x22075,x22076,x22077,x22071),f508(x22073,x22074,x22075,x22076,x22077,x22072))
% 192.24/192.23 [2208]~E(x22081,x22082)+E(f762(x22081,x22083),f762(x22082,x22083))
% 192.24/192.23 [2209]~E(x22091,x22092)+E(f762(x22093,x22091),f762(x22093,x22092))
% 192.24/192.23 [2210]~E(x22101,x22102)+E(f365(x22101,x22103,x22104),f365(x22102,x22103,x22104))
% 192.24/192.23 [2211]~E(x22111,x22112)+E(f365(x22113,x22111,x22114),f365(x22113,x22112,x22114))
% 192.24/192.23 [2212]~E(x22121,x22122)+E(f365(x22123,x22124,x22121),f365(x22123,x22124,x22122))
% 192.24/192.23 [2213]~E(x22131,x22132)+E(f742(x22131,x22133,x22134,x22135,x22136),f742(x22132,x22133,x22134,x22135,x22136))
% 192.24/192.23 [2214]~E(x22141,x22142)+E(f742(x22143,x22141,x22144,x22145,x22146),f742(x22143,x22142,x22144,x22145,x22146))
% 192.24/192.23 [2215]~E(x22151,x22152)+E(f742(x22153,x22154,x22151,x22155,x22156),f742(x22153,x22154,x22152,x22155,x22156))
% 192.24/192.23 [2216]~E(x22161,x22162)+E(f742(x22163,x22164,x22165,x22161,x22166),f742(x22163,x22164,x22165,x22162,x22166))
% 192.24/192.23 [2217]~E(x22171,x22172)+E(f742(x22173,x22174,x22175,x22176,x22171),f742(x22173,x22174,x22175,x22176,x22172))
% 192.24/192.23 [2218]~E(x22181,x22182)+E(f376(x22181,x22183,x22184,x22185),f376(x22182,x22183,x22184,x22185))
% 192.24/192.23 [2219]~E(x22191,x22192)+E(f376(x22193,x22191,x22194,x22195),f376(x22193,x22192,x22194,x22195))
% 192.24/192.23 [2220]~E(x22201,x22202)+E(f376(x22203,x22204,x22201,x22205),f376(x22203,x22204,x22202,x22205))
% 192.24/192.23 [2221]~E(x22211,x22212)+E(f376(x22213,x22214,x22215,x22211),f376(x22213,x22214,x22215,x22212))
% 192.24/192.23 [2222]~E(x22221,x22222)+E(f746(x22221,x22223),f746(x22222,x22223))
% 192.24/192.23 [2223]~E(x22231,x22232)+E(f746(x22233,x22231),f746(x22233,x22232))
% 192.24/192.23 [2224]~E(x22241,x22242)+E(f769(x22241,x22243,x22244,x22245,x22246,x22247,x22248),f769(x22242,x22243,x22244,x22245,x22246,x22247,x22248))
% 192.24/192.23 [2225]~E(x22251,x22252)+E(f769(x22253,x22251,x22254,x22255,x22256,x22257,x22258),f769(x22253,x22252,x22254,x22255,x22256,x22257,x22258))
% 192.24/192.23 [2226]~E(x22261,x22262)+E(f769(x22263,x22264,x22261,x22265,x22266,x22267,x22268),f769(x22263,x22264,x22262,x22265,x22266,x22267,x22268))
% 192.24/192.23 [2227]~E(x22271,x22272)+E(f769(x22273,x22274,x22275,x22271,x22276,x22277,x22278),f769(x22273,x22274,x22275,x22272,x22276,x22277,x22278))
% 192.24/192.23 [2228]~E(x22281,x22282)+E(f769(x22283,x22284,x22285,x22286,x22281,x22287,x22288),f769(x22283,x22284,x22285,x22286,x22282,x22287,x22288))
% 192.24/192.23 [2229]~E(x22291,x22292)+E(f769(x22293,x22294,x22295,x22296,x22297,x22291,x22298),f769(x22293,x22294,x22295,x22296,x22297,x22292,x22298))
% 192.24/192.23 [2230]~E(x22301,x22302)+E(f769(x22303,x22304,x22305,x22306,x22307,x22308,x22301),f769(x22303,x22304,x22305,x22306,x22307,x22308,x22302))
% 192.24/192.23 [2231]~E(x22311,x22312)+E(f266(x22311,x22313,x22314,x22315,x22316),f266(x22312,x22313,x22314,x22315,x22316))
% 192.24/192.23 [2232]~E(x22321,x22322)+E(f266(x22323,x22321,x22324,x22325,x22326),f266(x22323,x22322,x22324,x22325,x22326))
% 192.24/192.23 [2233]~E(x22331,x22332)+E(f266(x22333,x22334,x22331,x22335,x22336),f266(x22333,x22334,x22332,x22335,x22336))
% 192.24/192.23 [2234]~E(x22341,x22342)+E(f266(x22343,x22344,x22345,x22341,x22346),f266(x22343,x22344,x22345,x22342,x22346))
% 192.24/192.23 [2235]~E(x22351,x22352)+E(f266(x22353,x22354,x22355,x22356,x22351),f266(x22353,x22354,x22355,x22356,x22352))
% 192.24/192.23 [2236]~E(x22361,x22362)+E(f691(x22361,x22363,x22364,x22365),f691(x22362,x22363,x22364,x22365))
% 192.24/192.23 [2237]~E(x22371,x22372)+E(f691(x22373,x22371,x22374,x22375),f691(x22373,x22372,x22374,x22375))
% 192.24/192.23 [2238]~E(x22381,x22382)+E(f691(x22383,x22384,x22381,x22385),f691(x22383,x22384,x22382,x22385))
% 192.24/192.23 [2239]~E(x22391,x22392)+E(f691(x22393,x22394,x22395,x22391),f691(x22393,x22394,x22395,x22392))
% 192.24/192.23 [2240]~E(x22401,x22402)+E(f893(x22401,x22403),f893(x22402,x22403))
% 192.24/192.23 [2241]~E(x22411,x22412)+E(f893(x22413,x22411),f893(x22413,x22412))
% 192.24/192.23 [2242]~E(x22421,x22422)+E(f430(x22421,x22423,x22424,x22425),f430(x22422,x22423,x22424,x22425))
% 192.24/192.23 [2243]~E(x22431,x22432)+E(f430(x22433,x22431,x22434,x22435),f430(x22433,x22432,x22434,x22435))
% 192.24/192.23 [2244]~E(x22441,x22442)+E(f430(x22443,x22444,x22441,x22445),f430(x22443,x22444,x22442,x22445))
% 192.24/192.23 [2245]~E(x22451,x22452)+E(f430(x22453,x22454,x22455,x22451),f430(x22453,x22454,x22455,x22452))
% 192.24/192.23 [2246]~E(x22461,x22462)+E(f819(x22461,x22463,x22464,x22465),f819(x22462,x22463,x22464,x22465))
% 192.24/192.23 [2247]~E(x22471,x22472)+E(f819(x22473,x22471,x22474,x22475),f819(x22473,x22472,x22474,x22475))
% 192.24/192.23 [2248]~E(x22481,x22482)+E(f819(x22483,x22484,x22481,x22485),f819(x22483,x22484,x22482,x22485))
% 192.24/192.23 [2249]~E(x22491,x22492)+E(f819(x22493,x22494,x22495,x22491),f819(x22493,x22494,x22495,x22492))
% 192.24/192.23 [2250]~E(x22501,x22502)+E(f866(x22501,x22503,x22504,x22505),f866(x22502,x22503,x22504,x22505))
% 192.24/192.23 [2251]~E(x22511,x22512)+E(f866(x22513,x22511,x22514,x22515),f866(x22513,x22512,x22514,x22515))
% 192.24/192.23 [2252]~E(x22521,x22522)+E(f866(x22523,x22524,x22521,x22525),f866(x22523,x22524,x22522,x22525))
% 192.24/192.23 [2253]~E(x22531,x22532)+E(f866(x22533,x22534,x22535,x22531),f866(x22533,x22534,x22535,x22532))
% 192.24/192.23 [2254]~E(x22541,x22542)+E(f874(x22541,x22543,x22544,x22545,x22546,x22547),f874(x22542,x22543,x22544,x22545,x22546,x22547))
% 192.24/192.23 [2255]~E(x22551,x22552)+E(f874(x22553,x22551,x22554,x22555,x22556,x22557),f874(x22553,x22552,x22554,x22555,x22556,x22557))
% 192.24/192.23 [2256]~E(x22561,x22562)+E(f874(x22563,x22564,x22561,x22565,x22566,x22567),f874(x22563,x22564,x22562,x22565,x22566,x22567))
% 192.24/192.23 [2257]~E(x22571,x22572)+E(f874(x22573,x22574,x22575,x22571,x22576,x22577),f874(x22573,x22574,x22575,x22572,x22576,x22577))
% 192.24/192.23 [2258]~E(x22581,x22582)+E(f874(x22583,x22584,x22585,x22586,x22581,x22587),f874(x22583,x22584,x22585,x22586,x22582,x22587))
% 192.24/192.23 [2259]~E(x22591,x22592)+E(f874(x22593,x22594,x22595,x22596,x22597,x22591),f874(x22593,x22594,x22595,x22596,x22597,x22592))
% 192.24/192.23 [2260]~E(x22601,x22602)+E(f369(x22601),f369(x22602))
% 192.24/192.23 [2261]~E(x22611,x22612)+E(f210(x22611,x22613,x22614,x22615),f210(x22612,x22613,x22614,x22615))
% 192.24/192.23 [2262]~E(x22621,x22622)+E(f210(x22623,x22621,x22624,x22625),f210(x22623,x22622,x22624,x22625))
% 192.24/192.23 [2263]~E(x22631,x22632)+E(f210(x22633,x22634,x22631,x22635),f210(x22633,x22634,x22632,x22635))
% 192.24/192.23 [2264]~E(x22641,x22642)+E(f210(x22643,x22644,x22645,x22641),f210(x22643,x22644,x22645,x22642))
% 192.24/192.23 [2265]~E(x22651,x22652)+E(f480(x22651,x22653,x22654,x22655,x22656),f480(x22652,x22653,x22654,x22655,x22656))
% 192.24/192.23 [2266]~E(x22661,x22662)+E(f480(x22663,x22661,x22664,x22665,x22666),f480(x22663,x22662,x22664,x22665,x22666))
% 192.24/192.23 [2267]~E(x22671,x22672)+E(f480(x22673,x22674,x22671,x22675,x22676),f480(x22673,x22674,x22672,x22675,x22676))
% 192.24/192.23 [2268]~E(x22681,x22682)+E(f480(x22683,x22684,x22685,x22681,x22686),f480(x22683,x22684,x22685,x22682,x22686))
% 192.24/192.23 [2269]~E(x22691,x22692)+E(f480(x22693,x22694,x22695,x22696,x22691),f480(x22693,x22694,x22695,x22696,x22692))
% 192.24/192.23 [2270]~E(x22701,x22702)+E(f686(x22701,x22703,x22704),f686(x22702,x22703,x22704))
% 192.24/192.23 [2271]~E(x22711,x22712)+E(f686(x22713,x22711,x22714),f686(x22713,x22712,x22714))
% 192.24/192.23 [2272]~E(x22721,x22722)+E(f686(x22723,x22724,x22721),f686(x22723,x22724,x22722))
% 192.24/192.23 [2273]~E(x22731,x22732)+E(f859(x22731,x22733,x22734,x22735),f859(x22732,x22733,x22734,x22735))
% 192.24/192.23 [2274]~E(x22741,x22742)+E(f859(x22743,x22741,x22744,x22745),f859(x22743,x22742,x22744,x22745))
% 192.24/192.23 [2275]~E(x22751,x22752)+E(f859(x22753,x22754,x22751,x22755),f859(x22753,x22754,x22752,x22755))
% 192.24/192.23 [2276]~E(x22761,x22762)+E(f859(x22763,x22764,x22765,x22761),f859(x22763,x22764,x22765,x22762))
% 192.24/192.23 [2277]~E(x22771,x22772)+E(f777(x22771,x22773,x22774),f777(x22772,x22773,x22774))
% 192.24/192.23 [2278]~E(x22781,x22782)+E(f777(x22783,x22781,x22784),f777(x22783,x22782,x22784))
% 192.24/192.23 [2279]~E(x22791,x22792)+E(f777(x22793,x22794,x22791),f777(x22793,x22794,x22792))
% 192.24/192.23 [2280]~E(x22801,x22802)+E(f689(x22801,x22803),f689(x22802,x22803))
% 192.24/192.23 [2281]~E(x22811,x22812)+E(f689(x22813,x22811),f689(x22813,x22812))
% 192.24/192.23 [2282]~E(x22821,x22822)+E(f655(x22821,x22823,x22824,x22825),f655(x22822,x22823,x22824,x22825))
% 192.24/192.23 [2283]~E(x22831,x22832)+E(f655(x22833,x22831,x22834,x22835),f655(x22833,x22832,x22834,x22835))
% 192.24/192.23 [2284]~E(x22841,x22842)+E(f655(x22843,x22844,x22841,x22845),f655(x22843,x22844,x22842,x22845))
% 192.24/192.23 [2285]~E(x22851,x22852)+E(f655(x22853,x22854,x22855,x22851),f655(x22853,x22854,x22855,x22852))
% 192.24/192.23 [2286]~E(x22861,x22862)+E(f895(x22861,x22863),f895(x22862,x22863))
% 192.24/192.23 [2287]~E(x22871,x22872)+E(f895(x22873,x22871),f895(x22873,x22872))
% 192.24/192.23 [2288]~E(x22881,x22882)+E(f435(x22881,x22883,x22884,x22885,x22886),f435(x22882,x22883,x22884,x22885,x22886))
% 192.24/192.23 [2289]~E(x22891,x22892)+E(f435(x22893,x22891,x22894,x22895,x22896),f435(x22893,x22892,x22894,x22895,x22896))
% 192.24/192.23 [2290]~E(x22901,x22902)+E(f435(x22903,x22904,x22901,x22905,x22906),f435(x22903,x22904,x22902,x22905,x22906))
% 192.24/192.23 [2291]~E(x22911,x22912)+E(f435(x22913,x22914,x22915,x22911,x22916),f435(x22913,x22914,x22915,x22912,x22916))
% 192.24/192.23 [2292]~E(x22921,x22922)+E(f435(x22923,x22924,x22925,x22926,x22921),f435(x22923,x22924,x22925,x22926,x22922))
% 192.24/192.23 [2293]~E(x22931,x22932)+E(f442(x22931,x22933,x22934,x22935,x22936),f442(x22932,x22933,x22934,x22935,x22936))
% 192.24/192.23 [2294]~E(x22941,x22942)+E(f442(x22943,x22941,x22944,x22945,x22946),f442(x22943,x22942,x22944,x22945,x22946))
% 192.24/192.23 [2295]~E(x22951,x22952)+E(f442(x22953,x22954,x22951,x22955,x22956),f442(x22953,x22954,x22952,x22955,x22956))
% 192.24/192.23 [2296]~E(x22961,x22962)+E(f442(x22963,x22964,x22965,x22961,x22966),f442(x22963,x22964,x22965,x22962,x22966))
% 192.24/192.23 [2297]~E(x22971,x22972)+E(f442(x22973,x22974,x22975,x22976,x22971),f442(x22973,x22974,x22975,x22976,x22972))
% 192.24/192.23 [2298]~E(x22981,x22982)+E(f278(x22981,x22983),f278(x22982,x22983))
% 192.24/192.23 [2299]~E(x22991,x22992)+E(f278(x22993,x22991),f278(x22993,x22992))
% 192.24/192.23 [2300]~E(x23001,x23002)+E(f510(x23001,x23003),f510(x23002,x23003))
% 192.24/192.23 [2301]~E(x23011,x23012)+E(f510(x23013,x23011),f510(x23013,x23012))
% 192.24/192.23 [2302]~E(x23021,x23022)+E(f131(x23021,x23023,x23024,x23025,x23026),f131(x23022,x23023,x23024,x23025,x23026))
% 192.24/192.23 [2303]~E(x23031,x23032)+E(f131(x23033,x23031,x23034,x23035,x23036),f131(x23033,x23032,x23034,x23035,x23036))
% 192.24/192.23 [2304]~E(x23041,x23042)+E(f131(x23043,x23044,x23041,x23045,x23046),f131(x23043,x23044,x23042,x23045,x23046))
% 192.24/192.23 [2305]~E(x23051,x23052)+E(f131(x23053,x23054,x23055,x23051,x23056),f131(x23053,x23054,x23055,x23052,x23056))
% 192.24/192.23 [2306]~E(x23061,x23062)+E(f131(x23063,x23064,x23065,x23066,x23061),f131(x23063,x23064,x23065,x23066,x23062))
% 192.24/192.23 [2307]~E(x23071,x23072)+E(f722(x23071,x23073,x23074,x23075,x23076),f722(x23072,x23073,x23074,x23075,x23076))
% 192.24/192.23 [2308]~E(x23081,x23082)+E(f722(x23083,x23081,x23084,x23085,x23086),f722(x23083,x23082,x23084,x23085,x23086))
% 192.24/192.23 [2309]~E(x23091,x23092)+E(f722(x23093,x23094,x23091,x23095,x23096),f722(x23093,x23094,x23092,x23095,x23096))
% 192.24/192.23 [2310]~E(x23101,x23102)+E(f722(x23103,x23104,x23105,x23101,x23106),f722(x23103,x23104,x23105,x23102,x23106))
% 192.24/192.23 [2311]~E(x23111,x23112)+E(f722(x23113,x23114,x23115,x23116,x23111),f722(x23113,x23114,x23115,x23116,x23112))
% 192.24/192.23 [2312]~E(x23121,x23122)+E(f773(x23121,x23123,x23124),f773(x23122,x23123,x23124))
% 192.24/192.23 [2313]~E(x23131,x23132)+E(f773(x23133,x23131,x23134),f773(x23133,x23132,x23134))
% 192.24/192.23 [2314]~E(x23141,x23142)+E(f773(x23143,x23144,x23141),f773(x23143,x23144,x23142))
% 192.24/192.23 [2315]~E(x23151,x23152)+E(f227(x23151,x23153,x23154,x23155,x23156),f227(x23152,x23153,x23154,x23155,x23156))
% 192.24/192.23 [2316]~E(x23161,x23162)+E(f227(x23163,x23161,x23164,x23165,x23166),f227(x23163,x23162,x23164,x23165,x23166))
% 192.24/192.23 [2317]~E(x23171,x23172)+E(f227(x23173,x23174,x23171,x23175,x23176),f227(x23173,x23174,x23172,x23175,x23176))
% 192.24/192.23 [2318]~E(x23181,x23182)+E(f227(x23183,x23184,x23185,x23181,x23186),f227(x23183,x23184,x23185,x23182,x23186))
% 192.24/192.23 [2319]~E(x23191,x23192)+E(f227(x23193,x23194,x23195,x23196,x23191),f227(x23193,x23194,x23195,x23196,x23192))
% 192.24/192.23 [2320]~E(x23201,x23202)+E(f795(x23201,x23203,x23204,x23205),f795(x23202,x23203,x23204,x23205))
% 192.24/192.23 [2321]~E(x23211,x23212)+E(f795(x23213,x23211,x23214,x23215),f795(x23213,x23212,x23214,x23215))
% 192.24/192.23 [2322]~E(x23221,x23222)+E(f795(x23223,x23224,x23221,x23225),f795(x23223,x23224,x23222,x23225))
% 192.24/192.23 [2323]~E(x23231,x23232)+E(f795(x23233,x23234,x23235,x23231),f795(x23233,x23234,x23235,x23232))
% 192.24/192.23 [2324]~E(x23241,x23242)+E(f688(x23241,x23243,x23244,x23245),f688(x23242,x23243,x23244,x23245))
% 192.24/192.23 [2325]~E(x23251,x23252)+E(f688(x23253,x23251,x23254,x23255),f688(x23253,x23252,x23254,x23255))
% 192.24/192.23 [2326]~E(x23261,x23262)+E(f688(x23263,x23264,x23261,x23265),f688(x23263,x23264,x23262,x23265))
% 192.24/192.23 [2327]~E(x23271,x23272)+E(f688(x23273,x23274,x23275,x23271),f688(x23273,x23274,x23275,x23272))
% 192.24/192.23 [2328]~E(x23281,x23282)+E(f716(x23281,x23283,x23284),f716(x23282,x23283,x23284))
% 192.24/192.23 [2329]~E(x23291,x23292)+E(f716(x23293,x23291,x23294),f716(x23293,x23292,x23294))
% 192.24/192.23 [2330]~E(x23301,x23302)+E(f716(x23303,x23304,x23301),f716(x23303,x23304,x23302))
% 192.24/192.23 [2331]~E(x23311,x23312)+E(f643(x23311,x23313,x23314),f643(x23312,x23313,x23314))
% 192.24/192.23 [2332]~E(x23321,x23322)+E(f643(x23323,x23321,x23324),f643(x23323,x23322,x23324))
% 192.24/192.23 [2333]~E(x23331,x23332)+E(f643(x23333,x23334,x23331),f643(x23333,x23334,x23332))
% 192.24/192.23 [2334]~E(x23341,x23342)+E(f489(x23341,x23343,x23344),f489(x23342,x23343,x23344))
% 192.24/192.23 [2335]~E(x23351,x23352)+E(f489(x23353,x23351,x23354),f489(x23353,x23352,x23354))
% 192.24/192.23 [2336]~E(x23361,x23362)+E(f489(x23363,x23364,x23361),f489(x23363,x23364,x23362))
% 192.24/192.23 [2337]~E(x23371,x23372)+E(f787(x23371,x23373,x23374),f787(x23372,x23373,x23374))
% 192.24/192.23 [2338]~E(x23381,x23382)+E(f787(x23383,x23381,x23384),f787(x23383,x23382,x23384))
% 192.24/192.23 [2339]~E(x23391,x23392)+E(f787(x23393,x23394,x23391),f787(x23393,x23394,x23392))
% 192.24/192.23 [2340]~E(x23401,x23402)+E(f45(x23401),f45(x23402))
% 192.24/192.23 [2341]~E(x23411,x23412)+E(f69(x23411,x23413,x23414),f69(x23412,x23413,x23414))
% 192.24/192.23 [2342]~E(x23421,x23422)+E(f69(x23423,x23421,x23424),f69(x23423,x23422,x23424))
% 192.24/192.23 [2343]~E(x23431,x23432)+E(f69(x23433,x23434,x23431),f69(x23433,x23434,x23432))
% 192.24/192.23 [2344]~E(x23441,x23442)+E(f902(x23441,x23443,x23444,x23445,x23446),f902(x23442,x23443,x23444,x23445,x23446))
% 192.24/192.23 [2345]~E(x23451,x23452)+E(f902(x23453,x23451,x23454,x23455,x23456),f902(x23453,x23452,x23454,x23455,x23456))
% 192.24/192.23 [2346]~E(x23461,x23462)+E(f902(x23463,x23464,x23461,x23465,x23466),f902(x23463,x23464,x23462,x23465,x23466))
% 192.24/192.23 [2347]~E(x23471,x23472)+E(f902(x23473,x23474,x23475,x23471,x23476),f902(x23473,x23474,x23475,x23472,x23476))
% 192.24/192.23 [2348]~E(x23481,x23482)+E(f902(x23483,x23484,x23485,x23486,x23481),f902(x23483,x23484,x23485,x23486,x23482))
% 192.24/192.23 [2349]~E(x23491,x23492)+E(f674(x23491,x23493,x23494,x23495),f674(x23492,x23493,x23494,x23495))
% 192.24/192.23 [2350]~E(x23501,x23502)+E(f674(x23503,x23501,x23504,x23505),f674(x23503,x23502,x23504,x23505))
% 192.24/192.23 [2351]~E(x23511,x23512)+E(f674(x23513,x23514,x23511,x23515),f674(x23513,x23514,x23512,x23515))
% 192.24/192.23 [2352]~E(x23521,x23522)+E(f674(x23523,x23524,x23525,x23521),f674(x23523,x23524,x23525,x23522))
% 192.24/192.23 [2353]~E(x23531,x23532)+E(f19(x23531,x23533,x23534,x23535),f19(x23532,x23533,x23534,x23535))
% 192.24/192.23 [2354]~E(x23541,x23542)+E(f19(x23543,x23541,x23544,x23545),f19(x23543,x23542,x23544,x23545))
% 192.24/192.23 [2355]~E(x23551,x23552)+E(f19(x23553,x23554,x23551,x23555),f19(x23553,x23554,x23552,x23555))
% 192.24/192.23 [2356]~E(x23561,x23562)+E(f19(x23563,x23564,x23565,x23561),f19(x23563,x23564,x23565,x23562))
% 192.24/192.23 [2357]~E(x23571,x23572)+E(f602(x23571,x23573),f602(x23572,x23573))
% 192.24/192.23 [2358]~E(x23581,x23582)+E(f602(x23583,x23581),f602(x23583,x23582))
% 192.24/192.23 [2359]~E(x23591,x23592)+E(f891(x23591,x23593,x23594),f891(x23592,x23593,x23594))
% 192.24/192.23 [2360]~E(x23601,x23602)+E(f891(x23603,x23601,x23604),f891(x23603,x23602,x23604))
% 192.24/192.23 [2361]~E(x23611,x23612)+E(f891(x23613,x23614,x23611),f891(x23613,x23614,x23612))
% 192.24/192.23 [2362]~E(x23621,x23622)+E(f647(x23621,x23623,x23624),f647(x23622,x23623,x23624))
% 192.24/192.23 [2363]~E(x23631,x23632)+E(f647(x23633,x23631,x23634),f647(x23633,x23632,x23634))
% 192.24/192.23 [2364]~E(x23641,x23642)+E(f647(x23643,x23644,x23641),f647(x23643,x23644,x23642))
% 192.24/192.23 [2365]~E(x23651,x23652)+E(f693(x23651,x23653,x23654,x23655),f693(x23652,x23653,x23654,x23655))
% 192.24/192.23 [2366]~E(x23661,x23662)+E(f693(x23663,x23661,x23664,x23665),f693(x23663,x23662,x23664,x23665))
% 192.24/192.23 [2367]~E(x23671,x23672)+E(f693(x23673,x23674,x23671,x23675),f693(x23673,x23674,x23672,x23675))
% 192.24/192.23 [2368]~E(x23681,x23682)+E(f693(x23683,x23684,x23685,x23681),f693(x23683,x23684,x23685,x23682))
% 192.24/192.23 [2369]~E(x23691,x23692)+E(f609(x23691,x23693),f609(x23692,x23693))
% 192.24/192.23 [2370]~E(x23701,x23702)+E(f609(x23703,x23701),f609(x23703,x23702))
% 192.24/192.23 [2371]~E(x23711,x23712)+E(f584(x23711,x23713,x23714,x23715,x23716,x23717),f584(x23712,x23713,x23714,x23715,x23716,x23717))
% 192.24/192.23 [2372]~E(x23721,x23722)+E(f584(x23723,x23721,x23724,x23725,x23726,x23727),f584(x23723,x23722,x23724,x23725,x23726,x23727))
% 192.24/192.23 [2373]~E(x23731,x23732)+E(f584(x23733,x23734,x23731,x23735,x23736,x23737),f584(x23733,x23734,x23732,x23735,x23736,x23737))
% 192.24/192.23 [2374]~E(x23741,x23742)+E(f584(x23743,x23744,x23745,x23741,x23746,x23747),f584(x23743,x23744,x23745,x23742,x23746,x23747))
% 192.24/192.23 [2375]~E(x23751,x23752)+E(f584(x23753,x23754,x23755,x23756,x23751,x23757),f584(x23753,x23754,x23755,x23756,x23752,x23757))
% 192.24/192.23 [2376]~E(x23761,x23762)+E(f584(x23763,x23764,x23765,x23766,x23767,x23761),f584(x23763,x23764,x23765,x23766,x23767,x23762))
% 192.24/192.23 [2377]~E(x23771,x23772)+E(f763(x23771,x23773,x23774),f763(x23772,x23773,x23774))
% 192.24/192.23 [2378]~E(x23781,x23782)+E(f763(x23783,x23781,x23784),f763(x23783,x23782,x23784))
% 192.24/192.23 [2379]~E(x23791,x23792)+E(f763(x23793,x23794,x23791),f763(x23793,x23794,x23792))
% 192.24/192.23 [2380]~E(x23801,x23802)+E(f857(x23801,x23803,x23804),f857(x23802,x23803,x23804))
% 192.24/192.23 [2381]~E(x23811,x23812)+E(f857(x23813,x23811,x23814),f857(x23813,x23812,x23814))
% 192.24/192.23 [2382]~E(x23821,x23822)+E(f857(x23823,x23824,x23821),f857(x23823,x23824,x23822))
% 192.24/192.23 [2383]~E(x23831,x23832)+E(f370(x23831,x23833,x23834,x23835),f370(x23832,x23833,x23834,x23835))
% 192.24/192.23 [2384]~E(x23841,x23842)+E(f370(x23843,x23841,x23844,x23845),f370(x23843,x23842,x23844,x23845))
% 192.24/192.23 [2385]~E(x23851,x23852)+E(f370(x23853,x23854,x23851,x23855),f370(x23853,x23854,x23852,x23855))
% 192.24/192.23 [2386]~E(x23861,x23862)+E(f370(x23863,x23864,x23865,x23861),f370(x23863,x23864,x23865,x23862))
% 192.24/192.23 [2387]~E(x23871,x23872)+E(f357(x23871,x23873),f357(x23872,x23873))
% 192.24/192.23 [2388]~E(x23881,x23882)+E(f357(x23883,x23881),f357(x23883,x23882))
% 192.24/192.23 [2389]~E(x23891,x23892)+E(f371(x23891,x23893,x23894),f371(x23892,x23893,x23894))
% 192.24/192.23 [2390]~E(x23901,x23902)+E(f371(x23903,x23901,x23904),f371(x23903,x23902,x23904))
% 192.24/192.23 [2391]~E(x23911,x23912)+E(f371(x23913,x23914,x23911),f371(x23913,x23914,x23912))
% 192.24/192.23 [2392]~E(x23921,x23922)+E(f358(x23921,x23923),f358(x23922,x23923))
% 192.24/192.23 [2393]~E(x23931,x23932)+E(f358(x23933,x23931),f358(x23933,x23932))
% 192.24/192.23 [2394]~E(x23941,x23942)+E(f265(x23941,x23943,x23944,x23945,x23946),f265(x23942,x23943,x23944,x23945,x23946))
% 192.24/192.23 [2395]~E(x23951,x23952)+E(f265(x23953,x23951,x23954,x23955,x23956),f265(x23953,x23952,x23954,x23955,x23956))
% 192.24/192.23 [2396]~E(x23961,x23962)+E(f265(x23963,x23964,x23961,x23965,x23966),f265(x23963,x23964,x23962,x23965,x23966))
% 192.24/192.23 [2397]~E(x23971,x23972)+E(f265(x23973,x23974,x23975,x23971,x23976),f265(x23973,x23974,x23975,x23972,x23976))
% 192.24/192.23 [2398]~E(x23981,x23982)+E(f265(x23983,x23984,x23985,x23986,x23981),f265(x23983,x23984,x23985,x23986,x23982))
% 192.24/192.23 [2399]~E(x23991,x23992)+E(f632(x23991,x23993,x23994,x23995,x23996),f632(x23992,x23993,x23994,x23995,x23996))
% 192.24/192.23 [2400]~E(x24001,x24002)+E(f632(x24003,x24001,x24004,x24005,x24006),f632(x24003,x24002,x24004,x24005,x24006))
% 192.24/192.23 [2401]~E(x24011,x24012)+E(f632(x24013,x24014,x24011,x24015,x24016),f632(x24013,x24014,x24012,x24015,x24016))
% 192.24/192.23 [2402]~E(x24021,x24022)+E(f632(x24023,x24024,x24025,x24021,x24026),f632(x24023,x24024,x24025,x24022,x24026))
% 192.24/192.23 [2403]~E(x24031,x24032)+E(f632(x24033,x24034,x24035,x24036,x24031),f632(x24033,x24034,x24035,x24036,x24032))
% 192.24/192.23 [2404]~E(x24041,x24042)+E(f569(x24041,x24043),f569(x24042,x24043))
% 192.24/192.23 [2405]~E(x24051,x24052)+E(f569(x24053,x24051),f569(x24053,x24052))
% 192.24/192.23 [2406]~E(x24061,x24062)+E(f475(x24061,x24063,x24064),f475(x24062,x24063,x24064))
% 192.24/192.23 [2407]~E(x24071,x24072)+E(f475(x24073,x24071,x24074),f475(x24073,x24072,x24074))
% 192.24/192.23 [2408]~E(x24081,x24082)+E(f475(x24083,x24084,x24081),f475(x24083,x24084,x24082))
% 192.24/192.23 [2409]~E(x24091,x24092)+E(f757(x24091,x24093),f757(x24092,x24093))
% 192.24/192.23 [2410]~E(x24101,x24102)+E(f757(x24103,x24101),f757(x24103,x24102))
% 192.24/192.23 [2411]~E(x24111,x24112)+E(f436(x24111,x24113,x24114,x24115,x24116,x24117),f436(x24112,x24113,x24114,x24115,x24116,x24117))
% 192.24/192.23 [2412]~E(x24121,x24122)+E(f436(x24123,x24121,x24124,x24125,x24126,x24127),f436(x24123,x24122,x24124,x24125,x24126,x24127))
% 192.24/192.23 [2413]~E(x24131,x24132)+E(f436(x24133,x24134,x24131,x24135,x24136,x24137),f436(x24133,x24134,x24132,x24135,x24136,x24137))
% 192.24/192.23 [2414]~E(x24141,x24142)+E(f436(x24143,x24144,x24145,x24141,x24146,x24147),f436(x24143,x24144,x24145,x24142,x24146,x24147))
% 192.24/192.23 [2415]~E(x24151,x24152)+E(f436(x24153,x24154,x24155,x24156,x24151,x24157),f436(x24153,x24154,x24155,x24156,x24152,x24157))
% 192.24/192.23 [2416]~E(x24161,x24162)+E(f436(x24163,x24164,x24165,x24166,x24167,x24161),f436(x24163,x24164,x24165,x24166,x24167,x24162))
% 192.24/192.23 [2417]~E(x24171,x24172)+E(f731(x24171,x24173),f731(x24172,x24173))
% 192.24/192.23 [2418]~E(x24181,x24182)+E(f731(x24183,x24181),f731(x24183,x24182))
% 192.24/192.23 [2419]~E(x24191,x24192)+E(f447(x24191,x24193,x24194),f447(x24192,x24193,x24194))
% 192.24/192.23 [2420]~E(x24201,x24202)+E(f447(x24203,x24201,x24204),f447(x24203,x24202,x24204))
% 192.24/192.23 [2421]~E(x24211,x24212)+E(f447(x24213,x24214,x24211),f447(x24213,x24214,x24212))
% 192.24/192.23 [2422]~E(x24221,x24222)+E(f553(x24221,x24223,x24224,x24225),f553(x24222,x24223,x24224,x24225))
% 192.24/192.23 [2423]~E(x24231,x24232)+E(f553(x24233,x24231,x24234,x24235),f553(x24233,x24232,x24234,x24235))
% 192.24/192.23 [2424]~E(x24241,x24242)+E(f553(x24243,x24244,x24241,x24245),f553(x24243,x24244,x24242,x24245))
% 192.24/192.23 [2425]~E(x24251,x24252)+E(f553(x24253,x24254,x24255,x24251),f553(x24253,x24254,x24255,x24252))
% 192.24/192.23 [2426]~E(x24261,x24262)+E(f863(x24261,x24263,x24264),f863(x24262,x24263,x24264))
% 192.24/192.23 [2427]~E(x24271,x24272)+E(f863(x24273,x24271,x24274),f863(x24273,x24272,x24274))
% 192.24/192.23 [2428]~E(x24281,x24282)+E(f863(x24283,x24284,x24281),f863(x24283,x24284,x24282))
% 192.24/192.23 [2429]~E(x24291,x24292)+E(f816(x24291,x24293,x24294,x24295,x24296,x24297,x24298),f816(x24292,x24293,x24294,x24295,x24296,x24297,x24298))
% 192.24/192.23 [2430]~E(x24301,x24302)+E(f816(x24303,x24301,x24304,x24305,x24306,x24307,x24308),f816(x24303,x24302,x24304,x24305,x24306,x24307,x24308))
% 192.24/192.23 [2431]~E(x24311,x24312)+E(f816(x24313,x24314,x24311,x24315,x24316,x24317,x24318),f816(x24313,x24314,x24312,x24315,x24316,x24317,x24318))
% 192.24/192.23 [2432]~E(x24321,x24322)+E(f816(x24323,x24324,x24325,x24321,x24326,x24327,x24328),f816(x24323,x24324,x24325,x24322,x24326,x24327,x24328))
% 192.24/192.23 [2433]~E(x24331,x24332)+E(f816(x24333,x24334,x24335,x24336,x24331,x24337,x24338),f816(x24333,x24334,x24335,x24336,x24332,x24337,x24338))
% 192.24/192.23 [2434]~E(x24341,x24342)+E(f816(x24343,x24344,x24345,x24346,x24347,x24341,x24348),f816(x24343,x24344,x24345,x24346,x24347,x24342,x24348))
% 192.24/192.23 [2435]~E(x24351,x24352)+E(f816(x24353,x24354,x24355,x24356,x24357,x24358,x24351),f816(x24353,x24354,x24355,x24356,x24357,x24358,x24352))
% 192.24/192.23 [2436]~E(x24361,x24362)+E(f339(x24361),f339(x24362))
% 192.24/192.23 [2437]~E(x24371,x24372)+E(f503(x24371,x24373,x24374,x24375,x24376,x24377,x24378),f503(x24372,x24373,x24374,x24375,x24376,x24377,x24378))
% 192.24/192.23 [2438]~E(x24381,x24382)+E(f503(x24383,x24381,x24384,x24385,x24386,x24387,x24388),f503(x24383,x24382,x24384,x24385,x24386,x24387,x24388))
% 192.24/192.23 [2439]~E(x24391,x24392)+E(f503(x24393,x24394,x24391,x24395,x24396,x24397,x24398),f503(x24393,x24394,x24392,x24395,x24396,x24397,x24398))
% 192.24/192.23 [2440]~E(x24401,x24402)+E(f503(x24403,x24404,x24405,x24401,x24406,x24407,x24408),f503(x24403,x24404,x24405,x24402,x24406,x24407,x24408))
% 192.24/192.23 [2441]~E(x24411,x24412)+E(f503(x24413,x24414,x24415,x24416,x24411,x24417,x24418),f503(x24413,x24414,x24415,x24416,x24412,x24417,x24418))
% 192.24/192.23 [2442]~E(x24421,x24422)+E(f503(x24423,x24424,x24425,x24426,x24427,x24421,x24428),f503(x24423,x24424,x24425,x24426,x24427,x24422,x24428))
% 192.24/192.23 [2443]~E(x24431,x24432)+E(f503(x24433,x24434,x24435,x24436,x24437,x24438,x24431),f503(x24433,x24434,x24435,x24436,x24437,x24438,x24432))
% 192.24/192.23 [2444]~E(x24441,x24442)+E(f779(x24441,x24443,x24444),f779(x24442,x24443,x24444))
% 192.24/192.23 [2445]~E(x24451,x24452)+E(f779(x24453,x24451,x24454),f779(x24453,x24452,x24454))
% 192.24/192.23 [2446]~E(x24461,x24462)+E(f779(x24463,x24464,x24461),f779(x24463,x24464,x24462))
% 192.24/192.23 [2447]~E(x24471,x24472)+E(f818(x24471,x24473),f818(x24472,x24473))
% 192.24/192.23 [2448]~E(x24481,x24482)+E(f818(x24483,x24481),f818(x24483,x24482))
% 192.24/192.23 [2449]~E(x24491,x24492)+E(f454(x24491,x24493,x24494),f454(x24492,x24493,x24494))
% 192.24/192.23 [2450]~E(x24501,x24502)+E(f454(x24503,x24501,x24504),f454(x24503,x24502,x24504))
% 192.24/192.23 [2451]~E(x24511,x24512)+E(f454(x24513,x24514,x24511),f454(x24513,x24514,x24512))
% 192.24/192.23 [2452]~E(x24521,x24522)+E(f183(x24521),f183(x24522))
% 192.24/192.23 [2453]~E(x24531,x24532)+E(f613(x24531,x24533,x24534),f613(x24532,x24533,x24534))
% 192.24/192.23 [2454]~E(x24541,x24542)+E(f613(x24543,x24541,x24544),f613(x24543,x24542,x24544))
% 192.24/192.23 [2455]~E(x24551,x24552)+E(f613(x24553,x24554,x24551),f613(x24553,x24554,x24552))
% 192.24/192.23 [2456]~E(x24561,x24562)+E(f235(x24561,x24563,x24564,x24565),f235(x24562,x24563,x24564,x24565))
% 192.24/192.23 [2457]~E(x24571,x24572)+E(f235(x24573,x24571,x24574,x24575),f235(x24573,x24572,x24574,x24575))
% 192.24/192.23 [2458]~E(x24581,x24582)+E(f235(x24583,x24584,x24581,x24585),f235(x24583,x24584,x24582,x24585))
% 192.24/192.23 [2459]~E(x24591,x24592)+E(f235(x24593,x24594,x24595,x24591),f235(x24593,x24594,x24595,x24592))
% 192.24/192.23 [2460]~E(x24601,x24602)+E(f464(x24601,x24603),f464(x24602,x24603))
% 192.24/192.23 [2461]~E(x24611,x24612)+E(f464(x24613,x24611),f464(x24613,x24612))
% 192.24/192.23 [2462]~E(x24621,x24622)+E(f897(x24621,x24623,x24624,x24625,x24626),f897(x24622,x24623,x24624,x24625,x24626))
% 192.24/192.23 [2463]~E(x24631,x24632)+E(f897(x24633,x24631,x24634,x24635,x24636),f897(x24633,x24632,x24634,x24635,x24636))
% 192.24/192.23 [2464]~E(x24641,x24642)+E(f897(x24643,x24644,x24641,x24645,x24646),f897(x24643,x24644,x24642,x24645,x24646))
% 192.24/192.23 [2465]~E(x24651,x24652)+E(f897(x24653,x24654,x24655,x24651,x24656),f897(x24653,x24654,x24655,x24652,x24656))
% 192.24/192.23 [2466]~E(x24661,x24662)+E(f897(x24663,x24664,x24665,x24666,x24661),f897(x24663,x24664,x24665,x24666,x24662))
% 192.24/192.23 [2467]~E(x24671,x24672)+E(f616(x24671,x24673),f616(x24672,x24673))
% 192.24/192.23 [2468]~E(x24681,x24682)+E(f616(x24683,x24681),f616(x24683,x24682))
% 192.24/192.23 [2469]~E(x24691,x24692)+E(f815(x24691,x24693,x24694,x24695,x24696,x24697,x24698),f815(x24692,x24693,x24694,x24695,x24696,x24697,x24698))
% 192.24/192.23 [2470]~E(x24701,x24702)+E(f815(x24703,x24701,x24704,x24705,x24706,x24707,x24708),f815(x24703,x24702,x24704,x24705,x24706,x24707,x24708))
% 192.24/192.23 [2471]~E(x24711,x24712)+E(f815(x24713,x24714,x24711,x24715,x24716,x24717,x24718),f815(x24713,x24714,x24712,x24715,x24716,x24717,x24718))
% 192.24/192.23 [2472]~E(x24721,x24722)+E(f815(x24723,x24724,x24725,x24721,x24726,x24727,x24728),f815(x24723,x24724,x24725,x24722,x24726,x24727,x24728))
% 192.24/192.23 [2473]~E(x24731,x24732)+E(f815(x24733,x24734,x24735,x24736,x24731,x24737,x24738),f815(x24733,x24734,x24735,x24736,x24732,x24737,x24738))
% 192.24/192.23 [2474]~E(x24741,x24742)+E(f815(x24743,x24744,x24745,x24746,x24747,x24741,x24748),f815(x24743,x24744,x24745,x24746,x24747,x24742,x24748))
% 192.24/192.23 [2475]~E(x24751,x24752)+E(f815(x24753,x24754,x24755,x24756,x24757,x24758,x24751),f815(x24753,x24754,x24755,x24756,x24757,x24758,x24752))
% 192.24/192.23 [2476]~E(x24761,x24762)+E(f379(x24761,x24763,x24764,x24765),f379(x24762,x24763,x24764,x24765))
% 192.24/192.23 [2477]~E(x24771,x24772)+E(f379(x24773,x24771,x24774,x24775),f379(x24773,x24772,x24774,x24775))
% 192.24/192.23 [2478]~E(x24781,x24782)+E(f379(x24783,x24784,x24781,x24785),f379(x24783,x24784,x24782,x24785))
% 192.24/192.23 [2479]~E(x24791,x24792)+E(f379(x24793,x24794,x24795,x24791),f379(x24793,x24794,x24795,x24792))
% 192.24/192.23 [2480]~E(x24801,x24802)+E(f834(x24801),f834(x24802))
% 192.24/192.23 [2481]~E(x24811,x24812)+E(f353(x24811,x24813,x24814),f353(x24812,x24813,x24814))
% 192.24/192.23 [2482]~E(x24821,x24822)+E(f353(x24823,x24821,x24824),f353(x24823,x24822,x24824))
% 192.24/192.23 [2483]~E(x24831,x24832)+E(f353(x24833,x24834,x24831),f353(x24833,x24834,x24832))
% 192.24/192.23 [2484]~E(x24841,x24842)+E(f770(x24841,x24843,x24844,x24845,x24846),f770(x24842,x24843,x24844,x24845,x24846))
% 192.24/192.23 [2485]~E(x24851,x24852)+E(f770(x24853,x24851,x24854,x24855,x24856),f770(x24853,x24852,x24854,x24855,x24856))
% 192.24/192.23 [2486]~E(x24861,x24862)+E(f770(x24863,x24864,x24861,x24865,x24866),f770(x24863,x24864,x24862,x24865,x24866))
% 192.24/192.23 [2487]~E(x24871,x24872)+E(f770(x24873,x24874,x24875,x24871,x24876),f770(x24873,x24874,x24875,x24872,x24876))
% 192.24/192.23 [2488]~E(x24881,x24882)+E(f770(x24883,x24884,x24885,x24886,x24881),f770(x24883,x24884,x24885,x24886,x24882))
% 192.24/192.23 [2489]~E(x24891,x24892)+E(f684(x24891,x24893,x24894),f684(x24892,x24893,x24894))
% 192.24/192.23 [2490]~E(x24901,x24902)+E(f684(x24903,x24901,x24904),f684(x24903,x24902,x24904))
% 192.24/192.23 [2491]~E(x24911,x24912)+E(f684(x24913,x24914,x24911),f684(x24913,x24914,x24912))
% 192.24/192.23 [2492]~E(x24921,x24922)+E(f338(x24921),f338(x24922))
% 192.24/192.23 [2493]~E(x24931,x24932)+E(f612(x24931,x24933,x24934),f612(x24932,x24933,x24934))
% 192.24/192.23 [2494]~E(x24941,x24942)+E(f612(x24943,x24941,x24944),f612(x24943,x24942,x24944))
% 192.24/192.23 [2495]~E(x24951,x24952)+E(f612(x24953,x24954,x24951),f612(x24953,x24954,x24952))
% 192.24/192.23 [2496]~E(x24961,x24962)+E(f683(x24961,x24963,x24964),f683(x24962,x24963,x24964))
% 192.24/192.23 [2497]~E(x24971,x24972)+E(f683(x24973,x24971,x24974),f683(x24973,x24972,x24974))
% 192.24/192.23 [2498]~E(x24981,x24982)+E(f683(x24983,x24984,x24981),f683(x24983,x24984,x24982))
% 192.24/192.23 [2499]~E(x24991,x24992)+E(f397(x24991,x24993),f397(x24992,x24993))
% 192.24/192.23 [2500]~E(x25001,x25002)+E(f397(x25003,x25001),f397(x25003,x25002))
% 192.24/192.23 [2501]~E(x25011,x25012)+E(f846(x25011,x25013),f846(x25012,x25013))
% 192.24/192.23 [2502]~E(x25021,x25022)+E(f846(x25023,x25021),f846(x25023,x25022))
% 192.24/192.23 [2503]~E(x25031,x25032)+E(f296(x25031,x25033,x25034),f296(x25032,x25033,x25034))
% 192.24/192.23 [2504]~E(x25041,x25042)+E(f296(x25043,x25041,x25044),f296(x25043,x25042,x25044))
% 192.24/192.23 [2505]~E(x25051,x25052)+E(f296(x25053,x25054,x25051),f296(x25053,x25054,x25052))
% 192.24/192.23 [2506]~E(x25061,x25062)+E(f657(x25061,x25063,x25064),f657(x25062,x25063,x25064))
% 192.24/192.23 [2507]~E(x25071,x25072)+E(f657(x25073,x25071,x25074),f657(x25073,x25072,x25074))
% 192.24/192.23 [2508]~E(x25081,x25082)+E(f657(x25083,x25084,x25081),f657(x25083,x25084,x25082))
% 192.24/192.23 [2509]~E(x25091,x25092)+E(f740(x25091,x25093,x25094),f740(x25092,x25093,x25094))
% 192.24/192.23 [2510]~E(x25101,x25102)+E(f740(x25103,x25101,x25104),f740(x25103,x25102,x25104))
% 192.24/192.23 [2511]~E(x25111,x25112)+E(f740(x25113,x25114,x25111),f740(x25113,x25114,x25112))
% 192.24/192.23 [2512]~E(x25121,x25122)+E(f557(x25121,x25123),f557(x25122,x25123))
% 192.24/192.23 [2513]~E(x25131,x25132)+E(f557(x25133,x25131),f557(x25133,x25132))
% 192.24/192.23 [2514]~E(x25141,x25142)+E(f229(x25141,x25143,x25144,x25145,x25146),f229(x25142,x25143,x25144,x25145,x25146))
% 192.24/192.23 [2515]~E(x25151,x25152)+E(f229(x25153,x25151,x25154,x25155,x25156),f229(x25153,x25152,x25154,x25155,x25156))
% 192.24/192.23 [2516]~E(x25161,x25162)+E(f229(x25163,x25164,x25161,x25165,x25166),f229(x25163,x25164,x25162,x25165,x25166))
% 192.24/192.23 [2517]~E(x25171,x25172)+E(f229(x25173,x25174,x25175,x25171,x25176),f229(x25173,x25174,x25175,x25172,x25176))
% 192.24/192.23 [2518]~E(x25181,x25182)+E(f229(x25183,x25184,x25185,x25186,x25181),f229(x25183,x25184,x25185,x25186,x25182))
% 192.24/192.23 [2519]~E(x25191,x25192)+E(f805(x25191,x25193,x25194),f805(x25192,x25193,x25194))
% 192.24/192.23 [2520]~E(x25201,x25202)+E(f805(x25203,x25201,x25204),f805(x25203,x25202,x25204))
% 192.24/192.23 [2521]~E(x25211,x25212)+E(f805(x25213,x25214,x25211),f805(x25213,x25214,x25212))
% 192.24/192.23 [2522]~E(x25221,x25222)+E(f715(x25221,x25223,x25224),f715(x25222,x25223,x25224))
% 192.24/192.23 [2523]~E(x25231,x25232)+E(f715(x25233,x25231,x25234),f715(x25233,x25232,x25234))
% 192.24/192.23 [2524]~E(x25241,x25242)+E(f715(x25243,x25244,x25241),f715(x25243,x25244,x25242))
% 192.24/192.23 [2525]~E(x25251,x25252)+E(f720(x25251,x25253,x25254,x25255),f720(x25252,x25253,x25254,x25255))
% 192.24/192.23 [2526]~E(x25261,x25262)+E(f720(x25263,x25261,x25264,x25265),f720(x25263,x25262,x25264,x25265))
% 192.24/192.23 [2527]~E(x25271,x25272)+E(f720(x25273,x25274,x25271,x25275),f720(x25273,x25274,x25272,x25275))
% 192.24/192.23 [2528]~E(x25281,x25282)+E(f720(x25283,x25284,x25285,x25281),f720(x25283,x25284,x25285,x25282))
% 192.24/192.23 [2529]~E(x25291,x25292)+E(f199(x25291,x25293,x25294,x25295),f199(x25292,x25293,x25294,x25295))
% 192.24/192.23 [2530]~E(x25301,x25302)+E(f199(x25303,x25301,x25304,x25305),f199(x25303,x25302,x25304,x25305))
% 192.24/192.23 [2531]~E(x25311,x25312)+E(f199(x25313,x25314,x25311,x25315),f199(x25313,x25314,x25312,x25315))
% 192.24/192.23 [2532]~E(x25321,x25322)+E(f199(x25323,x25324,x25325,x25321),f199(x25323,x25324,x25325,x25322))
% 192.24/192.23 [2533]~E(x25331,x25332)+E(f539(x25331,x25333),f539(x25332,x25333))
% 192.24/192.23 [2534]~E(x25341,x25342)+E(f539(x25343,x25341),f539(x25343,x25342))
% 192.24/192.23 [2535]~E(x25351,x25352)+E(f660(x25351,x25353,x25354),f660(x25352,x25353,x25354))
% 192.24/192.23 [2536]~E(x25361,x25362)+E(f660(x25363,x25361,x25364),f660(x25363,x25362,x25364))
% 192.24/192.23 [2537]~E(x25371,x25372)+E(f660(x25373,x25374,x25371),f660(x25373,x25374,x25372))
% 192.24/192.23 [2538]~E(x25381,x25382)+E(f416(x25381,x25383,x25384,x25385,x25386),f416(x25382,x25383,x25384,x25385,x25386))
% 192.24/192.23 [2539]~E(x25391,x25392)+E(f416(x25393,x25391,x25394,x25395,x25396),f416(x25393,x25392,x25394,x25395,x25396))
% 192.24/192.23 [2540]~E(x25401,x25402)+E(f416(x25403,x25404,x25401,x25405,x25406),f416(x25403,x25404,x25402,x25405,x25406))
% 192.24/192.23 [2541]~E(x25411,x25412)+E(f416(x25413,x25414,x25415,x25411,x25416),f416(x25413,x25414,x25415,x25412,x25416))
% 192.24/192.23 [2542]~E(x25421,x25422)+E(f416(x25423,x25424,x25425,x25426,x25421),f416(x25423,x25424,x25425,x25426,x25422))
% 192.24/192.23 [2543]~E(x25431,x25432)+E(f545(x25431,x25433,x25434,x25435,x25436,x25437),f545(x25432,x25433,x25434,x25435,x25436,x25437))
% 192.24/192.23 [2544]~E(x25441,x25442)+E(f545(x25443,x25441,x25444,x25445,x25446,x25447),f545(x25443,x25442,x25444,x25445,x25446,x25447))
% 192.24/192.23 [2545]~E(x25451,x25452)+E(f545(x25453,x25454,x25451,x25455,x25456,x25457),f545(x25453,x25454,x25452,x25455,x25456,x25457))
% 192.24/192.23 [2546]~E(x25461,x25462)+E(f545(x25463,x25464,x25465,x25461,x25466,x25467),f545(x25463,x25464,x25465,x25462,x25466,x25467))
% 192.24/192.23 [2547]~E(x25471,x25472)+E(f545(x25473,x25474,x25475,x25476,x25471,x25477),f545(x25473,x25474,x25475,x25476,x25472,x25477))
% 192.24/192.23 [2548]~E(x25481,x25482)+E(f545(x25483,x25484,x25485,x25486,x25487,x25481),f545(x25483,x25484,x25485,x25486,x25487,x25482))
% 192.24/192.23 [2549]~E(x25491,x25492)+E(f747(x25491,x25493,x25494,x25495),f747(x25492,x25493,x25494,x25495))
% 192.24/192.23 [2550]~E(x25501,x25502)+E(f747(x25503,x25501,x25504,x25505),f747(x25503,x25502,x25504,x25505))
% 192.24/192.23 [2551]~E(x25511,x25512)+E(f747(x25513,x25514,x25511,x25515),f747(x25513,x25514,x25512,x25515))
% 192.24/192.23 [2552]~E(x25521,x25522)+E(f747(x25523,x25524,x25525,x25521),f747(x25523,x25524,x25525,x25522))
% 192.24/192.23 [2553]~E(x25531,x25532)+E(f392(x25531,x25533,x25534,x25535),f392(x25532,x25533,x25534,x25535))
% 192.24/192.23 [2554]~E(x25541,x25542)+E(f392(x25543,x25541,x25544,x25545),f392(x25543,x25542,x25544,x25545))
% 192.24/192.23 [2555]~E(x25551,x25552)+E(f392(x25553,x25554,x25551,x25555),f392(x25553,x25554,x25552,x25555))
% 192.24/192.23 [2556]~E(x25561,x25562)+E(f392(x25563,x25564,x25565,x25561),f392(x25563,x25564,x25565,x25562))
% 192.24/192.23 [2557]~E(x25571,x25572)+E(f532(x25571,x25573,x25574,x25575),f532(x25572,x25573,x25574,x25575))
% 192.24/192.23 [2558]~E(x25581,x25582)+E(f532(x25583,x25581,x25584,x25585),f532(x25583,x25582,x25584,x25585))
% 192.24/192.23 [2559]~E(x25591,x25592)+E(f532(x25593,x25594,x25591,x25595),f532(x25593,x25594,x25592,x25595))
% 192.24/192.23 [2560]~E(x25601,x25602)+E(f532(x25603,x25604,x25605,x25601),f532(x25603,x25604,x25605,x25602))
% 192.24/192.23 [2561]~E(x25611,x25612)+E(f373(x25611,x25613,x25614),f373(x25612,x25613,x25614))
% 192.24/192.23 [2562]~E(x25621,x25622)+E(f373(x25623,x25621,x25624),f373(x25623,x25622,x25624))
% 192.24/192.23 [2563]~E(x25631,x25632)+E(f373(x25633,x25634,x25631),f373(x25633,x25634,x25632))
% 192.24/192.23 [2564]~E(x25641,x25642)+E(f276(x25641,x25643,x25644,x25645),f276(x25642,x25643,x25644,x25645))
% 192.24/192.23 [2565]~E(x25651,x25652)+E(f276(x25653,x25651,x25654,x25655),f276(x25653,x25652,x25654,x25655))
% 192.24/192.23 [2566]~E(x25661,x25662)+E(f276(x25663,x25664,x25661,x25665),f276(x25663,x25664,x25662,x25665))
% 192.24/192.23 [2567]~E(x25671,x25672)+E(f276(x25673,x25674,x25675,x25671),f276(x25673,x25674,x25675,x25672))
% 192.24/192.23 [2568]~E(x25681,x25682)+E(f823(x25681,x25683,x25684,x25685),f823(x25682,x25683,x25684,x25685))
% 192.24/192.23 [2569]~E(x25691,x25692)+E(f823(x25693,x25691,x25694,x25695),f823(x25693,x25692,x25694,x25695))
% 192.24/192.23 [2570]~E(x25701,x25702)+E(f823(x25703,x25704,x25701,x25705),f823(x25703,x25704,x25702,x25705))
% 192.24/192.23 [2571]~E(x25711,x25712)+E(f823(x25713,x25714,x25715,x25711),f823(x25713,x25714,x25715,x25712))
% 192.24/192.23 [2572]~E(x25721,x25722)+E(f827(x25721,x25723),f827(x25722,x25723))
% 192.24/192.23 [2573]~E(x25731,x25732)+E(f827(x25733,x25731),f827(x25733,x25732))
% 192.24/192.23 [2574]~E(x25741,x25742)+E(f201(x25741,x25743,x25744,x25745),f201(x25742,x25743,x25744,x25745))
% 192.24/192.23 [2575]~E(x25751,x25752)+E(f201(x25753,x25751,x25754,x25755),f201(x25753,x25752,x25754,x25755))
% 192.24/192.23 [2576]~E(x25761,x25762)+E(f201(x25763,x25764,x25761,x25765),f201(x25763,x25764,x25762,x25765))
% 192.24/192.23 [2577]~E(x25771,x25772)+E(f201(x25773,x25774,x25775,x25771),f201(x25773,x25774,x25775,x25772))
% 192.24/192.23 [2578]~E(x25781,x25782)+E(f520(x25781,x25783,x25784,x25785),f520(x25782,x25783,x25784,x25785))
% 192.24/192.23 [2579]~E(x25791,x25792)+E(f520(x25793,x25791,x25794,x25795),f520(x25793,x25792,x25794,x25795))
% 192.24/192.23 [2580]~E(x25801,x25802)+E(f520(x25803,x25804,x25801,x25805),f520(x25803,x25804,x25802,x25805))
% 192.24/192.23 [2581]~E(x25811,x25812)+E(f520(x25813,x25814,x25815,x25811),f520(x25813,x25814,x25815,x25812))
% 192.24/192.23 [2582]~E(x25821,x25822)+E(f650(x25821,x25823,x25824,x25825),f650(x25822,x25823,x25824,x25825))
% 192.24/192.23 [2583]~E(x25831,x25832)+E(f650(x25833,x25831,x25834,x25835),f650(x25833,x25832,x25834,x25835))
% 192.24/192.23 [2584]~E(x25841,x25842)+E(f650(x25843,x25844,x25841,x25845),f650(x25843,x25844,x25842,x25845))
% 192.24/192.23 [2585]~E(x25851,x25852)+E(f650(x25853,x25854,x25855,x25851),f650(x25853,x25854,x25855,x25852))
% 192.24/192.23 [2586]~E(x25861,x25862)+E(f645(x25861,x25863,x25864),f645(x25862,x25863,x25864))
% 192.24/192.23 [2587]~E(x25871,x25872)+E(f645(x25873,x25871,x25874),f645(x25873,x25872,x25874))
% 192.24/192.23 [2588]~E(x25881,x25882)+E(f645(x25883,x25884,x25881),f645(x25883,x25884,x25882))
% 192.24/192.23 [2589]~E(x25891,x25892)+E(f806(x25891,x25893),f806(x25892,x25893))
% 192.24/192.23 [2590]~E(x25901,x25902)+E(f806(x25903,x25901),f806(x25903,x25902))
% 192.24/192.23 [2591]~E(x25911,x25912)+E(f274(x25911,x25913),f274(x25912,x25913))
% 192.24/192.23 [2592]~E(x25921,x25922)+E(f274(x25923,x25921),f274(x25923,x25922))
% 192.24/192.23 [2593]~E(x25931,x25932)+E(f497(x25931,x25933,x25934),f497(x25932,x25933,x25934))
% 192.24/192.23 [2594]~E(x25941,x25942)+E(f497(x25943,x25941,x25944),f497(x25943,x25942,x25944))
% 192.24/192.23 [2595]~E(x25951,x25952)+E(f497(x25953,x25954,x25951),f497(x25953,x25954,x25952))
% 192.24/192.23 [2596]~E(x25961,x25962)+E(f230(x25961,x25963,x25964,x25965,x25966),f230(x25962,x25963,x25964,x25965,x25966))
% 192.24/192.23 [2597]~E(x25971,x25972)+E(f230(x25973,x25971,x25974,x25975,x25976),f230(x25973,x25972,x25974,x25975,x25976))
% 192.24/192.23 [2598]~E(x25981,x25982)+E(f230(x25983,x25984,x25981,x25985,x25986),f230(x25983,x25984,x25982,x25985,x25986))
% 192.24/192.23 [2599]~E(x25991,x25992)+E(f230(x25993,x25994,x25995,x25991,x25996),f230(x25993,x25994,x25995,x25992,x25996))
% 192.24/192.23 [2600]~E(x26001,x26002)+E(f230(x26003,x26004,x26005,x26006,x26001),f230(x26003,x26004,x26005,x26006,x26002))
% 192.24/192.23 [2601]~E(x26011,x26012)+E(f562(x26011,x26013,x26014),f562(x26012,x26013,x26014))
% 192.24/192.23 [2602]~E(x26021,x26022)+E(f562(x26023,x26021,x26024),f562(x26023,x26022,x26024))
% 192.24/192.23 [2603]~E(x26031,x26032)+E(f562(x26033,x26034,x26031),f562(x26033,x26034,x26032))
% 192.24/192.23 [2604]~E(x26041,x26042)+E(f401(x26041,x26043,x26044,x26045),f401(x26042,x26043,x26044,x26045))
% 192.24/192.23 [2605]~E(x26051,x26052)+E(f401(x26053,x26051,x26054,x26055),f401(x26053,x26052,x26054,x26055))
% 192.24/192.23 [2606]~E(x26061,x26062)+E(f401(x26063,x26064,x26061,x26065),f401(x26063,x26064,x26062,x26065))
% 192.24/192.23 [2607]~E(x26071,x26072)+E(f401(x26073,x26074,x26075,x26071),f401(x26073,x26074,x26075,x26072))
% 192.24/192.23 [2608]~E(x26081,x26082)+E(f301(x26081,x26083,x26084,x26085),f301(x26082,x26083,x26084,x26085))
% 192.24/192.23 [2609]~E(x26091,x26092)+E(f301(x26093,x26091,x26094,x26095),f301(x26093,x26092,x26094,x26095))
% 192.24/192.23 [2610]~E(x26101,x26102)+E(f301(x26103,x26104,x26101,x26105),f301(x26103,x26104,x26102,x26105))
% 192.24/192.23 [2611]~E(x26111,x26112)+E(f301(x26113,x26114,x26115,x26111),f301(x26113,x26114,x26115,x26112))
% 192.24/192.23 [2612]~E(x26121,x26122)+E(f346(x26121,x26123),f346(x26122,x26123))
% 192.24/192.23 [2613]~E(x26131,x26132)+E(f346(x26133,x26131),f346(x26133,x26132))
% 192.24/192.23 [2614]~E(x26141,x26142)+E(f878(x26141),f878(x26142))
% 192.24/192.23 [2615]~E(x26151,x26152)+E(f297(x26151,x26153,x26154),f297(x26152,x26153,x26154))
% 192.24/192.23 [2616]~E(x26161,x26162)+E(f297(x26163,x26161,x26164),f297(x26163,x26162,x26164))
% 192.24/192.23 [2617]~E(x26171,x26172)+E(f297(x26173,x26174,x26171),f297(x26173,x26174,x26172))
% 192.24/192.23 [2618]~E(x26181,x26182)+E(f126(x26181,x26183,x26184,x26185),f126(x26182,x26183,x26184,x26185))
% 192.24/192.23 [2619]~E(x26191,x26192)+E(f126(x26193,x26191,x26194,x26195),f126(x26193,x26192,x26194,x26195))
% 192.24/192.23 [2620]~E(x26201,x26202)+E(f126(x26203,x26204,x26201,x26205),f126(x26203,x26204,x26202,x26205))
% 192.24/192.23 [2621]~E(x26211,x26212)+E(f126(x26213,x26214,x26215,x26211),f126(x26213,x26214,x26215,x26212))
% 192.24/192.23 [2622]~E(x26221,x26222)+E(f415(x26221,x26223,x26224,x26225,x26226),f415(x26222,x26223,x26224,x26225,x26226))
% 192.24/192.23 [2623]~E(x26231,x26232)+E(f415(x26233,x26231,x26234,x26235,x26236),f415(x26233,x26232,x26234,x26235,x26236))
% 192.24/192.23 [2624]~E(x26241,x26242)+E(f415(x26243,x26244,x26241,x26245,x26246),f415(x26243,x26244,x26242,x26245,x26246))
% 192.24/192.23 [2625]~E(x26251,x26252)+E(f415(x26253,x26254,x26255,x26251,x26256),f415(x26253,x26254,x26255,x26252,x26256))
% 192.24/192.23 [2626]~E(x26261,x26262)+E(f415(x26263,x26264,x26265,x26266,x26261),f415(x26263,x26264,x26265,x26266,x26262))
% 192.24/192.23 [2627]~E(x26271,x26272)+E(f504(x26271),f504(x26272))
% 192.24/192.23 [2628]~E(x26281,x26282)+E(f580(x26281,x26283,x26284,x26285,x26286,x26287),f580(x26282,x26283,x26284,x26285,x26286,x26287))
% 192.24/192.23 [2629]~E(x26291,x26292)+E(f580(x26293,x26291,x26294,x26295,x26296,x26297),f580(x26293,x26292,x26294,x26295,x26296,x26297))
% 192.24/192.23 [2630]~E(x26301,x26302)+E(f580(x26303,x26304,x26301,x26305,x26306,x26307),f580(x26303,x26304,x26302,x26305,x26306,x26307))
% 192.24/192.23 [2631]~E(x26311,x26312)+E(f580(x26313,x26314,x26315,x26311,x26316,x26317),f580(x26313,x26314,x26315,x26312,x26316,x26317))
% 192.24/192.23 [2632]~E(x26321,x26322)+E(f580(x26323,x26324,x26325,x26326,x26321,x26327),f580(x26323,x26324,x26325,x26326,x26322,x26327))
% 192.24/192.23 [2633]~E(x26331,x26332)+E(f580(x26333,x26334,x26335,x26336,x26337,x26331),f580(x26333,x26334,x26335,x26336,x26337,x26332))
% 192.24/192.23 [2634]~E(x26341,x26342)+E(f775(x26341,x26343,x26344,x26345),f775(x26342,x26343,x26344,x26345))
% 192.24/192.23 [2635]~E(x26351,x26352)+E(f775(x26353,x26351,x26354,x26355),f775(x26353,x26352,x26354,x26355))
% 192.24/192.23 [2636]~E(x26361,x26362)+E(f775(x26363,x26364,x26361,x26365),f775(x26363,x26364,x26362,x26365))
% 192.24/192.23 [2637]~E(x26371,x26372)+E(f775(x26373,x26374,x26375,x26371),f775(x26373,x26374,x26375,x26372))
% 192.24/192.23 [2638]~E(x26381,x26382)+E(f549(x26381,x26383,x26384,x26385),f549(x26382,x26383,x26384,x26385))
% 192.24/192.23 [2639]~E(x26391,x26392)+E(f549(x26393,x26391,x26394,x26395),f549(x26393,x26392,x26394,x26395))
% 192.24/192.23 [2640]~E(x26401,x26402)+E(f549(x26403,x26404,x26401,x26405),f549(x26403,x26404,x26402,x26405))
% 192.24/192.23 [2641]~E(x26411,x26412)+E(f549(x26413,x26414,x26415,x26411),f549(x26413,x26414,x26415,x26412))
% 192.24/192.23 [2642]~E(x26421,x26422)+E(f703(x26421,x26423),f703(x26422,x26423))
% 192.24/192.23 [2643]~E(x26431,x26432)+E(f703(x26433,x26431),f703(x26433,x26432))
% 192.24/192.23 [2644]~E(x26441,x26442)+E(f491(x26441,x26443,x26444,x26445,x26446),f491(x26442,x26443,x26444,x26445,x26446))
% 192.24/192.23 [2645]~E(x26451,x26452)+E(f491(x26453,x26451,x26454,x26455,x26456),f491(x26453,x26452,x26454,x26455,x26456))
% 192.24/192.23 [2646]~E(x26461,x26462)+E(f491(x26463,x26464,x26461,x26465,x26466),f491(x26463,x26464,x26462,x26465,x26466))
% 192.24/192.23 [2647]~E(x26471,x26472)+E(f491(x26473,x26474,x26475,x26471,x26476),f491(x26473,x26474,x26475,x26472,x26476))
% 192.24/192.23 [2648]~E(x26481,x26482)+E(f491(x26483,x26484,x26485,x26486,x26481),f491(x26483,x26484,x26485,x26486,x26482))
% 192.24/192.23 [2649]~E(x26491,x26492)+E(f701(x26491,x26493,x26494),f701(x26492,x26493,x26494))
% 192.24/192.23 [2650]~E(x26501,x26502)+E(f701(x26503,x26501,x26504),f701(x26503,x26502,x26504))
% 192.24/192.23 [2651]~E(x26511,x26512)+E(f701(x26513,x26514,x26511),f701(x26513,x26514,x26512))
% 192.24/192.23 [2652]~E(x26521,x26522)+E(f873(x26521,x26523,x26524,x26525,x26526),f873(x26522,x26523,x26524,x26525,x26526))
% 192.24/192.23 [2653]~E(x26531,x26532)+E(f873(x26533,x26531,x26534,x26535,x26536),f873(x26533,x26532,x26534,x26535,x26536))
% 192.24/192.23 [2654]~E(x26541,x26542)+E(f873(x26543,x26544,x26541,x26545,x26546),f873(x26543,x26544,x26542,x26545,x26546))
% 192.24/192.23 [2655]~E(x26551,x26552)+E(f873(x26553,x26554,x26555,x26551,x26556),f873(x26553,x26554,x26555,x26552,x26556))
% 192.24/192.23 [2656]~E(x26561,x26562)+E(f873(x26563,x26564,x26565,x26566,x26561),f873(x26563,x26564,x26565,x26566,x26562))
% 192.24/192.23 [2657]~E(x26571,x26572)+E(f784(x26571,x26573,x26574),f784(x26572,x26573,x26574))
% 192.24/192.23 [2658]~E(x26581,x26582)+E(f784(x26583,x26581,x26584),f784(x26583,x26582,x26584))
% 192.24/192.23 [2659]~E(x26591,x26592)+E(f784(x26593,x26594,x26591),f784(x26593,x26594,x26592))
% 192.24/192.23 [2660]~E(x26601,x26602)+E(f583(x26601,x26603),f583(x26602,x26603))
% 192.24/192.23 [2661]~E(x26611,x26612)+E(f583(x26613,x26611),f583(x26613,x26612))
% 192.24/192.23 [2662]~E(x26621,x26622)+E(f472(x26621,x26623,x26624),f472(x26622,x26623,x26624))
% 192.24/192.23 [2663]~E(x26631,x26632)+E(f472(x26633,x26631,x26634),f472(x26633,x26632,x26634))
% 192.24/192.23 [2664]~E(x26641,x26642)+E(f472(x26643,x26644,x26641),f472(x26643,x26644,x26642))
% 192.24/192.23 [2665]~E(x26651,x26652)+E(f336(x26651),f336(x26652))
% 192.24/192.23 [2666]~E(x26661,x26662)+E(f900(x26661,x26663,x26664,x26665,x26666),f900(x26662,x26663,x26664,x26665,x26666))
% 192.24/192.23 [2667]~E(x26671,x26672)+E(f900(x26673,x26671,x26674,x26675,x26676),f900(x26673,x26672,x26674,x26675,x26676))
% 192.24/192.23 [2668]~E(x26681,x26682)+E(f900(x26683,x26684,x26681,x26685,x26686),f900(x26683,x26684,x26682,x26685,x26686))
% 192.24/192.23 [2669]~E(x26691,x26692)+E(f900(x26693,x26694,x26695,x26691,x26696),f900(x26693,x26694,x26695,x26692,x26696))
% 192.24/192.23 [2670]~E(x26701,x26702)+E(f900(x26703,x26704,x26705,x26706,x26701),f900(x26703,x26704,x26705,x26706,x26702))
% 192.24/192.23 [2671]~E(x26711,x26712)+E(f368(x26711,x26713),f368(x26712,x26713))
% 192.24/192.23 [2672]~E(x26721,x26722)+E(f368(x26723,x26721),f368(x26723,x26722))
% 192.24/192.23 [2673]~E(x26731,x26732)+E(f367(x26731,x26733),f367(x26732,x26733))
% 192.24/192.23 [2674]~E(x26741,x26742)+E(f367(x26743,x26741),f367(x26743,x26742))
% 192.24/192.23 [2675]~E(x26751,x26752)+E(f820(x26751),f820(x26752))
% 192.24/192.23 [2676]~E(x26761,x26762)+E(f576(x26761,x26763,x26764),f576(x26762,x26763,x26764))
% 192.24/192.23 [2677]~E(x26771,x26772)+E(f576(x26773,x26771,x26774),f576(x26773,x26772,x26774))
% 192.24/192.23 [2678]~E(x26781,x26782)+E(f576(x26783,x26784,x26781),f576(x26783,x26784,x26782))
% 192.24/192.23 [2679]~E(x26791,x26792)+E(f624(x26791,x26793,x26794,x26795,x26796),f624(x26792,x26793,x26794,x26795,x26796))
% 192.24/192.23 [2680]~E(x26801,x26802)+E(f624(x26803,x26801,x26804,x26805,x26806),f624(x26803,x26802,x26804,x26805,x26806))
% 192.24/192.23 [2681]~E(x26811,x26812)+E(f624(x26813,x26814,x26811,x26815,x26816),f624(x26813,x26814,x26812,x26815,x26816))
% 192.24/192.23 [2682]~E(x26821,x26822)+E(f624(x26823,x26824,x26825,x26821,x26826),f624(x26823,x26824,x26825,x26822,x26826))
% 192.24/192.23 [2683]~E(x26831,x26832)+E(f624(x26833,x26834,x26835,x26836,x26831),f624(x26833,x26834,x26835,x26836,x26832))
% 192.24/192.23 [2684]~E(x26841,x26842)+E(f636(x26841,x26843,x26844,x26845),f636(x26842,x26843,x26844,x26845))
% 192.24/192.23 [2685]~E(x26851,x26852)+E(f636(x26853,x26851,x26854,x26855),f636(x26853,x26852,x26854,x26855))
% 192.24/192.23 [2686]~E(x26861,x26862)+E(f636(x26863,x26864,x26861,x26865),f636(x26863,x26864,x26862,x26865))
% 192.24/192.23 [2687]~E(x26871,x26872)+E(f636(x26873,x26874,x26875,x26871),f636(x26873,x26874,x26875,x26872))
% 192.24/192.23 [2688]~E(x26881,x26882)+E(f427(x26881,x26883,x26884,x26885),f427(x26882,x26883,x26884,x26885))
% 192.24/192.23 [2689]~E(x26891,x26892)+E(f427(x26893,x26891,x26894,x26895),f427(x26893,x26892,x26894,x26895))
% 192.24/192.23 [2690]~E(x26901,x26902)+E(f427(x26903,x26904,x26901,x26905),f427(x26903,x26904,x26902,x26905))
% 192.24/192.23 [2691]~E(x26911,x26912)+E(f427(x26913,x26914,x26915,x26911),f427(x26913,x26914,x26915,x26912))
% 192.24/192.23 [2692]~E(x26921,x26922)+E(f786(x26921,x26923,x26924),f786(x26922,x26923,x26924))
% 192.24/192.23 [2693]~E(x26931,x26932)+E(f786(x26933,x26931,x26934),f786(x26933,x26932,x26934))
% 192.24/192.23 [2694]~E(x26941,x26942)+E(f786(x26943,x26944,x26941),f786(x26943,x26944,x26942))
% 192.24/192.23 [2695]~E(x26951,x26952)+E(f127(x26951),f127(x26952))
% 192.24/192.23 [2696]~E(x26961,x26962)+E(f495(x26961,x26963,x26964),f495(x26962,x26963,x26964))
% 192.24/192.23 [2697]~E(x26971,x26972)+E(f495(x26973,x26971,x26974),f495(x26973,x26972,x26974))
% 192.24/192.23 [2698]~E(x26981,x26982)+E(f495(x26983,x26984,x26981),f495(x26983,x26984,x26982))
% 192.24/192.23 [2699]~E(x26991,x26992)+E(f783(x26991,x26993,x26994),f783(x26992,x26993,x26994))
% 192.24/192.23 [2700]~E(x27001,x27002)+E(f783(x27003,x27001,x27004),f783(x27003,x27002,x27004))
% 192.24/192.23 [2701]~E(x27011,x27012)+E(f783(x27013,x27014,x27011),f783(x27013,x27014,x27012))
% 192.24/192.23 [2702]~E(x27021,x27022)+E(f714(x27021,x27023,x27024),f714(x27022,x27023,x27024))
% 192.24/192.23 [2703]~E(x27031,x27032)+E(f714(x27033,x27031,x27034),f714(x27033,x27032,x27034))
% 192.24/192.23 [2704]~E(x27041,x27042)+E(f714(x27043,x27044,x27041),f714(x27043,x27044,x27042))
% 192.24/192.23 [2705]~E(x27051,x27052)+E(f204(x27051),f204(x27052))
% 192.24/192.23 [2706]~E(x27061,x27062)+E(f344(x27061),f344(x27062))
% 192.24/192.23 [2707]~E(x27071,x27072)+E(f626(x27071,x27073,x27074,x27075),f626(x27072,x27073,x27074,x27075))
% 192.24/192.23 [2708]~E(x27081,x27082)+E(f626(x27083,x27081,x27084,x27085),f626(x27083,x27082,x27084,x27085))
% 192.24/192.23 [2709]~E(x27091,x27092)+E(f626(x27093,x27094,x27091,x27095),f626(x27093,x27094,x27092,x27095))
% 192.24/192.23 [2710]~E(x27101,x27102)+E(f626(x27103,x27104,x27105,x27101),f626(x27103,x27104,x27105,x27102))
% 192.24/192.23 [2711]~E(x27111,x27112)+E(f781(x27111,x27113,x27114),f781(x27112,x27113,x27114))
% 192.24/192.23 [2712]~E(x27121,x27122)+E(f781(x27123,x27121,x27124),f781(x27123,x27122,x27124))
% 192.24/192.23 [2713]~E(x27131,x27132)+E(f781(x27133,x27134,x27131),f781(x27133,x27134,x27132))
% 192.24/192.23 [2714]~E(x27141,x27142)+E(f776(x27141,x27143,x27144),f776(x27142,x27143,x27144))
% 192.24/192.23 [2715]~E(x27151,x27152)+E(f776(x27153,x27151,x27154),f776(x27153,x27152,x27154))
% 192.24/192.23 [2716]~E(x27161,x27162)+E(f776(x27163,x27164,x27161),f776(x27163,x27164,x27162))
% 192.24/192.23 [2717]~E(x27171,x27172)+E(f214(x27171,x27173,x27174,x27175),f214(x27172,x27173,x27174,x27175))
% 192.24/192.23 [2718]~E(x27181,x27182)+E(f214(x27183,x27181,x27184,x27185),f214(x27183,x27182,x27184,x27185))
% 192.24/192.23 [2719]~E(x27191,x27192)+E(f214(x27193,x27194,x27191,x27195),f214(x27193,x27194,x27192,x27195))
% 192.24/192.23 [2720]~E(x27201,x27202)+E(f214(x27203,x27204,x27205,x27201),f214(x27203,x27204,x27205,x27202))
% 192.24/192.23 [2721]~E(x27211,x27212)+E(f538(x27211,x27213,x27214,x27215),f538(x27212,x27213,x27214,x27215))
% 192.24/192.23 [2722]~E(x27221,x27222)+E(f538(x27223,x27221,x27224,x27225),f538(x27223,x27222,x27224,x27225))
% 192.24/192.23 [2723]~E(x27231,x27232)+E(f538(x27233,x27234,x27231,x27235),f538(x27233,x27234,x27232,x27235))
% 192.24/192.23 [2724]~E(x27241,x27242)+E(f538(x27243,x27244,x27245,x27241),f538(x27243,x27244,x27245,x27242))
% 192.24/192.23 [2725]~E(x27251,x27252)+E(f207(x27251,x27253,x27254),f207(x27252,x27253,x27254))
% 192.24/192.23 [2726]~E(x27261,x27262)+E(f207(x27263,x27261,x27264),f207(x27263,x27262,x27264))
% 192.24/192.23 [2727]~E(x27271,x27272)+E(f207(x27273,x27274,x27271),f207(x27273,x27274,x27272))
% 192.24/192.23 [2728]~E(x27281,x27282)+E(f894(x27281),f894(x27282))
% 192.24/192.23 [2729]~E(x27291,x27292)+E(f524(x27291,x27293,x27294,x27295),f524(x27292,x27293,x27294,x27295))
% 192.24/192.23 [2730]~E(x27301,x27302)+E(f524(x27303,x27301,x27304,x27305),f524(x27303,x27302,x27304,x27305))
% 192.24/192.23 [2731]~E(x27311,x27312)+E(f524(x27313,x27314,x27311,x27315),f524(x27313,x27314,x27312,x27315))
% 192.24/192.23 [2732]~E(x27321,x27322)+E(f524(x27323,x27324,x27325,x27321),f524(x27323,x27324,x27325,x27322))
% 192.24/192.23 [2733]~E(x27331,x27332)+E(f677(x27331,x27333,x27334,x27335,x27336),f677(x27332,x27333,x27334,x27335,x27336))
% 192.24/192.23 [2734]~E(x27341,x27342)+E(f677(x27343,x27341,x27344,x27345,x27346),f677(x27343,x27342,x27344,x27345,x27346))
% 192.24/192.23 [2735]~E(x27351,x27352)+E(f677(x27353,x27354,x27351,x27355,x27356),f677(x27353,x27354,x27352,x27355,x27356))
% 192.24/192.23 [2736]~E(x27361,x27362)+E(f677(x27363,x27364,x27365,x27361,x27366),f677(x27363,x27364,x27365,x27362,x27366))
% 192.24/192.23 [2737]~E(x27371,x27372)+E(f677(x27373,x27374,x27375,x27376,x27371),f677(x27373,x27374,x27375,x27376,x27372))
% 192.24/192.23 [2738]~E(x27381,x27382)+E(f756(x27381,x27383),f756(x27382,x27383))
% 192.24/192.23 [2739]~E(x27391,x27392)+E(f756(x27393,x27391),f756(x27393,x27392))
% 192.24/192.23 [2740]~E(x27401,x27402)+E(f778(x27401,x27403,x27404),f778(x27402,x27403,x27404))
% 192.24/192.23 [2741]~E(x27411,x27412)+E(f778(x27413,x27411,x27414),f778(x27413,x27412,x27414))
% 192.24/192.23 [2742]~E(x27421,x27422)+E(f778(x27423,x27424,x27421),f778(x27423,x27424,x27422))
% 192.24/192.23 [2743]~E(x27431,x27432)+E(f551(x27431,x27433,x27434,x27435),f551(x27432,x27433,x27434,x27435))
% 192.24/192.23 [2744]~E(x27441,x27442)+E(f551(x27443,x27441,x27444,x27445),f551(x27443,x27442,x27444,x27445))
% 192.24/192.23 [2745]~E(x27451,x27452)+E(f551(x27453,x27454,x27451,x27455),f551(x27453,x27454,x27452,x27455))
% 192.24/192.23 [2746]~E(x27461,x27462)+E(f551(x27463,x27464,x27465,x27461),f551(x27463,x27464,x27465,x27462))
% 192.24/192.23 [2747]~E(x27471,x27472)+E(f233(x27471,x27473,x27474,x27475),f233(x27472,x27473,x27474,x27475))
% 192.24/192.23 [2748]~E(x27481,x27482)+E(f233(x27483,x27481,x27484,x27485),f233(x27483,x27482,x27484,x27485))
% 192.24/192.23 [2749]~E(x27491,x27492)+E(f233(x27493,x27494,x27491,x27495),f233(x27493,x27494,x27492,x27495))
% 192.24/192.23 [2750]~E(x27501,x27502)+E(f233(x27503,x27504,x27505,x27501),f233(x27503,x27504,x27505,x27502))
% 192.24/192.23 [2751]~E(x27511,x27512)+E(f279(x27511,x27513,x27514,x27515),f279(x27512,x27513,x27514,x27515))
% 192.24/192.23 [2752]~E(x27521,x27522)+E(f279(x27523,x27521,x27524,x27525),f279(x27523,x27522,x27524,x27525))
% 192.24/192.23 [2753]~E(x27531,x27532)+E(f279(x27533,x27534,x27531,x27535),f279(x27533,x27534,x27532,x27535))
% 192.24/192.23 [2754]~E(x27541,x27542)+E(f279(x27543,x27544,x27545,x27541),f279(x27543,x27544,x27545,x27542))
% 192.24/192.23 [2755]~P1(x27551)+P1(x27552)+~E(x27551,x27552)
% 192.24/192.23 [2756]~P2(x27561)+P2(x27562)+~E(x27561,x27562)
% 192.24/192.23 [2757]~P112(x27571)+P112(x27572)+~E(x27571,x27572)
% 192.24/192.23 [2758]~P104(x27581)+P104(x27582)+~E(x27581,x27582)
% 192.24/192.23 [2759]~P103(x27591)+P103(x27592)+~E(x27591,x27592)
% 192.24/192.23 [2760]~P9(x27601)+P9(x27602)+~E(x27601,x27602)
% 192.24/192.23 [2761]~P120(x27611)+P120(x27612)+~E(x27611,x27612)
% 192.24/192.23 [2762]~P3(x27621)+P3(x27622)+~E(x27621,x27622)
% 192.24/192.23 [2763]~P105(x27631)+P105(x27632)+~E(x27631,x27632)
% 192.24/192.23 [2764]~P11(x27641)+P11(x27642)+~E(x27641,x27642)
% 192.24/192.23 [2765]~P109(x27651)+P109(x27652)+~E(x27651,x27652)
% 192.24/192.23 [2766]~P116(x27661)+P116(x27662)+~E(x27661,x27662)
% 192.24/192.23 [2767]~P78(x27671)+P78(x27672)+~E(x27671,x27672)
% 192.24/192.23 [2768]~P110(x27681)+P110(x27682)+~E(x27681,x27682)
% 192.24/192.23 [2769]~P4(x27691)+P4(x27692)+~E(x27691,x27692)
% 192.24/192.23 [2770]~P96(x27701)+P96(x27702)+~E(x27701,x27702)
% 192.24/192.23 [2771]P24(x27712,x27713,x27714)+~E(x27711,x27712)+~P24(x27711,x27713,x27714)
% 192.24/192.23 [2772]P24(x27723,x27722,x27724)+~E(x27721,x27722)+~P24(x27723,x27721,x27724)
% 192.24/192.23 [2773]P24(x27733,x27734,x27732)+~E(x27731,x27732)+~P24(x27733,x27734,x27731)
% 192.24/192.23 [2774]~P70(x27741)+P70(x27742)+~E(x27741,x27742)
% 192.24/192.23 [2775]P39(x27752,x27753,x27754,x27755)+~E(x27751,x27752)+~P39(x27751,x27753,x27754,x27755)
% 192.24/192.23 [2776]P39(x27763,x27762,x27764,x27765)+~E(x27761,x27762)+~P39(x27763,x27761,x27764,x27765)
% 192.24/192.23 [2777]P39(x27773,x27774,x27772,x27775)+~E(x27771,x27772)+~P39(x27773,x27774,x27771,x27775)
% 192.24/192.23 [2778]P39(x27783,x27784,x27785,x27782)+~E(x27781,x27782)+~P39(x27783,x27784,x27785,x27781)
% 192.24/192.23 [2779]P148(x27792,x27793,x27794)+~E(x27791,x27792)+~P148(x27791,x27793,x27794)
% 192.24/192.23 [2780]P148(x27803,x27802,x27804)+~E(x27801,x27802)+~P148(x27803,x27801,x27804)
% 192.24/192.23 [2781]P148(x27813,x27814,x27812)+~E(x27811,x27812)+~P148(x27813,x27814,x27811)
% 192.24/192.23 [2782]~P83(x27821)+P83(x27822)+~E(x27821,x27822)
% 192.24/192.23 [2783]~P72(x27831)+P72(x27832)+~E(x27831,x27832)
% 192.24/192.23 [2784]~P73(x27841)+P73(x27842)+~E(x27841,x27842)
% 192.24/192.23 [2785]~P5(x27851)+P5(x27852)+~E(x27851,x27852)
% 192.24/192.23 [2786]~P128(x27861)+P128(x27862)+~E(x27861,x27862)
% 192.24/192.23 [2787]P20(x27872,x27873,x27874)+~E(x27871,x27872)+~P20(x27871,x27873,x27874)
% 192.24/192.23 [2788]P20(x27883,x27882,x27884)+~E(x27881,x27882)+~P20(x27883,x27881,x27884)
% 192.24/192.23 [2789]P20(x27893,x27894,x27892)+~E(x27891,x27892)+~P20(x27893,x27894,x27891)
% 192.24/192.23 [2790]~P6(x27901)+P6(x27902)+~E(x27901,x27902)
% 192.24/192.23 [2791]~P87(x27911)+P87(x27912)+~E(x27911,x27912)
% 192.24/192.23 [2792]~P91(x27921)+P91(x27922)+~E(x27921,x27922)
% 192.24/192.23 [2793]~P7(x27931)+P7(x27932)+~E(x27931,x27932)
% 192.24/192.23 [2794]~P71(x27941)+P71(x27942)+~E(x27941,x27942)
% 192.24/192.23 [2795]~P95(x27951)+P95(x27952)+~E(x27951,x27952)
% 192.24/192.23 [2796]~P8(x27961)+P8(x27962)+~E(x27961,x27962)
% 192.24/192.23 [2797]P21(x27972,x27973)+~E(x27971,x27972)+~P21(x27971,x27973)
% 192.24/192.23 [2798]P21(x27983,x27982)+~E(x27981,x27982)+~P21(x27983,x27981)
% 192.24/192.23 [2799]~P146(x27991)+P146(x27992)+~E(x27991,x27992)
% 192.24/192.23 [2800]P25(x28002,x28003,x28004,x28005)+~E(x28001,x28002)+~P25(x28001,x28003,x28004,x28005)
% 192.24/192.23 [2801]P25(x28013,x28012,x28014,x28015)+~E(x28011,x28012)+~P25(x28013,x28011,x28014,x28015)
% 192.24/192.23 [2802]P25(x28023,x28024,x28022,x28025)+~E(x28021,x28022)+~P25(x28023,x28024,x28021,x28025)
% 192.24/192.23 [2803]P25(x28033,x28034,x28035,x28032)+~E(x28031,x28032)+~P25(x28033,x28034,x28035,x28031)
% 192.24/192.23 [2804]~P77(x28041)+P77(x28042)+~E(x28041,x28042)
% 192.24/192.23 [2805]~P136(x28051)+P136(x28052)+~E(x28051,x28052)
% 192.24/192.23 [2806]P149(x28062,x28063,x28064)+~E(x28061,x28062)+~P149(x28061,x28063,x28064)
% 192.24/192.23 [2807]P149(x28073,x28072,x28074)+~E(x28071,x28072)+~P149(x28073,x28071,x28074)
% 192.24/192.23 [2808]P149(x28083,x28084,x28082)+~E(x28081,x28082)+~P149(x28083,x28084,x28081)
% 192.24/192.23 [2809]~P114(x28091)+P114(x28092)+~E(x28091,x28092)
% 192.24/192.23 [2810]P30(x28102,x28103,x28104)+~E(x28101,x28102)+~P30(x28101,x28103,x28104)
% 192.24/192.23 [2811]P30(x28113,x28112,x28114)+~E(x28111,x28112)+~P30(x28113,x28111,x28114)
% 192.24/192.23 [2812]P30(x28123,x28124,x28122)+~E(x28121,x28122)+~P30(x28123,x28124,x28121)
% 192.24/192.23 [2813]~P107(x28131)+P107(x28132)+~E(x28131,x28132)
% 192.24/192.23 [2814]~P69(x28141)+P69(x28142)+~E(x28141,x28142)
% 192.24/192.23 [2815]~P81(x28151)+P81(x28152)+~E(x28151,x28152)
% 192.24/192.23 [2816]P31(x28162,x28163,x28164,x28165)+~E(x28161,x28162)+~P31(x28161,x28163,x28164,x28165)
% 192.24/192.23 [2817]P31(x28173,x28172,x28174,x28175)+~E(x28171,x28172)+~P31(x28173,x28171,x28174,x28175)
% 192.24/192.23 [2818]P31(x28183,x28184,x28182,x28185)+~E(x28181,x28182)+~P31(x28183,x28184,x28181,x28185)
% 192.24/192.23 [2819]P31(x28193,x28194,x28195,x28192)+~E(x28191,x28192)+~P31(x28193,x28194,x28195,x28191)
% 192.24/192.23 [2820]P36(x28202,x28203)+~E(x28201,x28202)+~P36(x28201,x28203)
% 192.24/192.23 [2821]P36(x28213,x28212)+~E(x28211,x28212)+~P36(x28213,x28211)
% 192.24/192.23 [2822]P44(x28222,x28223)+~E(x28221,x28222)+~P44(x28221,x28223)
% 192.24/192.23 [2823]P44(x28233,x28232)+~E(x28231,x28232)+~P44(x28233,x28231)
% 192.24/192.23 [2824]~P74(x28241)+P74(x28242)+~E(x28241,x28242)
% 192.24/192.23 [2825]~P79(x28251)+P79(x28252)+~E(x28251,x28252)
% 192.24/192.23 [2826]~P101(x28261)+P101(x28262)+~E(x28261,x28262)
% 192.24/192.23 [2827]~P48(x28271)+P48(x28272)+~E(x28271,x28272)
% 192.24/192.23 [2828]P49(x28282,x28283,x28284,x28285)+~E(x28281,x28282)+~P49(x28281,x28283,x28284,x28285)
% 192.24/192.23 [2829]P49(x28293,x28292,x28294,x28295)+~E(x28291,x28292)+~P49(x28293,x28291,x28294,x28295)
% 192.24/192.23 [2830]P49(x28303,x28304,x28302,x28305)+~E(x28301,x28302)+~P49(x28303,x28304,x28301,x28305)
% 192.24/192.23 [2831]P49(x28313,x28314,x28315,x28312)+~E(x28311,x28312)+~P49(x28313,x28314,x28315,x28311)
% 192.24/192.23 [2832]~P111(x28321)+P111(x28322)+~E(x28321,x28322)
% 192.24/192.23 [2833]~P130(x28331)+P130(x28332)+~E(x28331,x28332)
% 192.24/192.23 [2834]~P97(x28341)+P97(x28342)+~E(x28341,x28342)
% 192.24/192.23 [2835]~P126(x28351)+P126(x28352)+~E(x28351,x28352)
% 192.24/192.23 [2836]P19(x28362,x28363)+~E(x28361,x28362)+~P19(x28361,x28363)
% 192.24/192.23 [2837]P19(x28373,x28372)+~E(x28371,x28372)+~P19(x28373,x28371)
% 192.24/192.23 [2838]~P43(x28381)+P43(x28382)+~E(x28381,x28382)
% 192.24/192.23 [2839]~P113(x28391)+P113(x28392)+~E(x28391,x28392)
% 192.24/192.23 [2840]~P98(x28401)+P98(x28402)+~E(x28401,x28402)
% 192.24/192.23 [2841]P66(x28412,x28413)+~E(x28411,x28412)+~P66(x28411,x28413)
% 192.24/192.23 [2842]P66(x28423,x28422)+~E(x28421,x28422)+~P66(x28423,x28421)
% 192.24/192.23 [2843]P33(x28432,x28433)+~E(x28431,x28432)+~P33(x28431,x28433)
% 192.24/192.23 [2844]P33(x28443,x28442)+~E(x28441,x28442)+~P33(x28443,x28441)
% 192.24/192.23 [2845]~P138(x28451)+P138(x28452)+~E(x28451,x28452)
% 192.24/192.23 [2846]P45(x28462,x28463)+~E(x28461,x28462)+~P45(x28461,x28463)
% 192.24/192.23 [2847]P45(x28473,x28472)+~E(x28471,x28472)+~P45(x28473,x28471)
% 192.24/192.23 [2848]~P80(x28481)+P80(x28482)+~E(x28481,x28482)
% 192.24/192.23 [2849]P14(x28492,x28493,x28494)+~E(x28491,x28492)+~P14(x28491,x28493,x28494)
% 192.24/192.23 [2850]P14(x28503,x28502,x28504)+~E(x28501,x28502)+~P14(x28503,x28501,x28504)
% 192.24/192.23 [2851]P14(x28513,x28514,x28512)+~E(x28511,x28512)+~P14(x28513,x28514,x28511)
% 192.24/192.23 [2852]~P89(x28521)+P89(x28522)+~E(x28521,x28522)
% 192.24/192.23 [2853]~P84(x28531)+P84(x28532)+~E(x28531,x28532)
% 192.24/192.23 [2854]P63(x28542,x28543,x28544)+~E(x28541,x28542)+~P63(x28541,x28543,x28544)
% 192.24/192.23 [2855]P63(x28553,x28552,x28554)+~E(x28551,x28552)+~P63(x28553,x28551,x28554)
% 192.24/192.23 [2856]P63(x28563,x28564,x28562)+~E(x28561,x28562)+~P63(x28563,x28564,x28561)
% 192.24/192.23 [2857]P38(x28572,x28573,x28574)+~E(x28571,x28572)+~P38(x28571,x28573,x28574)
% 192.24/192.23 [2858]P38(x28583,x28582,x28584)+~E(x28581,x28582)+~P38(x28583,x28581,x28584)
% 192.24/192.23 [2859]P38(x28593,x28594,x28592)+~E(x28591,x28592)+~P38(x28593,x28594,x28591)
% 192.24/192.23 [2860]~P86(x28601)+P86(x28602)+~E(x28601,x28602)
% 192.24/192.23 [2861]P41(x28612,x28613,x28614,x28615,x28616)+~E(x28611,x28612)+~P41(x28611,x28613,x28614,x28615,x28616)
% 192.24/192.23 [2862]P41(x28623,x28622,x28624,x28625,x28626)+~E(x28621,x28622)+~P41(x28623,x28621,x28624,x28625,x28626)
% 192.24/192.23 [2863]P41(x28633,x28634,x28632,x28635,x28636)+~E(x28631,x28632)+~P41(x28633,x28634,x28631,x28635,x28636)
% 192.24/192.23 [2864]P41(x28643,x28644,x28645,x28642,x28646)+~E(x28641,x28642)+~P41(x28643,x28644,x28645,x28641,x28646)
% 192.24/192.23 [2865]P41(x28653,x28654,x28655,x28656,x28652)+~E(x28651,x28652)+~P41(x28653,x28654,x28655,x28656,x28651)
% 192.24/192.23 [2866]~P132(x28661)+P132(x28662)+~E(x28661,x28662)
% 192.24/192.23 [2867]~P90(x28671)+P90(x28672)+~E(x28671,x28672)
% 192.24/192.23 [2868]~P140(x28681)+P140(x28682)+~E(x28681,x28682)
% 192.24/192.23 [2869]~P53(x28691)+P53(x28692)+~E(x28691,x28692)
% 192.24/192.23 [2870]P23(x28702,x28703,x28704)+~E(x28701,x28702)+~P23(x28701,x28703,x28704)
% 192.24/192.23 [2871]P23(x28713,x28712,x28714)+~E(x28711,x28712)+~P23(x28713,x28711,x28714)
% 192.24/192.23 [2872]P23(x28723,x28724,x28722)+~E(x28721,x28722)+~P23(x28723,x28724,x28721)
% 192.24/192.23 [2873]P67(x28732,x28733,x28734,x28735)+~E(x28731,x28732)+~P67(x28731,x28733,x28734,x28735)
% 192.24/192.23 [2874]P67(x28743,x28742,x28744,x28745)+~E(x28741,x28742)+~P67(x28743,x28741,x28744,x28745)
% 192.24/192.23 [2875]P67(x28753,x28754,x28752,x28755)+~E(x28751,x28752)+~P67(x28753,x28754,x28751,x28755)
% 192.24/192.23 [2876]P67(x28763,x28764,x28765,x28762)+~E(x28761,x28762)+~P67(x28763,x28764,x28765,x28761)
% 192.24/192.23 [2877]P40(x28772,x28773,x28774)+~E(x28771,x28772)+~P40(x28771,x28773,x28774)
% 192.24/192.23 [2878]P40(x28783,x28782,x28784)+~E(x28781,x28782)+~P40(x28783,x28781,x28784)
% 192.24/192.23 [2879]P40(x28793,x28794,x28792)+~E(x28791,x28792)+~P40(x28793,x28794,x28791)
% 192.24/192.23 [2880]P47(x28802,x28803,x28804)+~E(x28801,x28802)+~P47(x28801,x28803,x28804)
% 192.24/192.23 [2881]P47(x28813,x28812,x28814)+~E(x28811,x28812)+~P47(x28813,x28811,x28814)
% 192.24/192.23 [2882]P47(x28823,x28824,x28822)+~E(x28821,x28822)+~P47(x28823,x28824,x28821)
% 192.24/192.23 [2883]P65(x28832,x28833,x28834,x28835,x28836)+~E(x28831,x28832)+~P65(x28831,x28833,x28834,x28835,x28836)
% 192.24/192.23 [2884]P65(x28843,x28842,x28844,x28845,x28846)+~E(x28841,x28842)+~P65(x28843,x28841,x28844,x28845,x28846)
% 192.24/192.23 [2885]P65(x28853,x28854,x28852,x28855,x28856)+~E(x28851,x28852)+~P65(x28853,x28854,x28851,x28855,x28856)
% 192.24/192.23 [2886]P65(x28863,x28864,x28865,x28862,x28866)+~E(x28861,x28862)+~P65(x28863,x28864,x28865,x28861,x28866)
% 192.24/192.23 [2887]P65(x28873,x28874,x28875,x28876,x28872)+~E(x28871,x28872)+~P65(x28873,x28874,x28875,x28876,x28871)
% 192.24/192.23 [2888]P61(x28882,x28883,x28884)+~E(x28881,x28882)+~P61(x28881,x28883,x28884)
% 192.24/192.23 [2889]P61(x28893,x28892,x28894)+~E(x28891,x28892)+~P61(x28893,x28891,x28894)
% 192.24/192.23 [2890]P61(x28903,x28904,x28902)+~E(x28901,x28902)+~P61(x28903,x28904,x28901)
% 192.24/192.23 [2891]P60(x28912,x28913)+~E(x28911,x28912)+~P60(x28911,x28913)
% 192.24/192.23 [2892]P60(x28923,x28922)+~E(x28921,x28922)+~P60(x28923,x28921)
% 192.24/192.23 [2893]~P131(x28931)+P131(x28932)+~E(x28931,x28932)
% 192.24/192.23 [2894]~P129(x28941)+P129(x28942)+~E(x28941,x28942)
% 192.24/192.23 [2895]~P85(x28951)+P85(x28952)+~E(x28951,x28952)
% 192.24/192.23 [2896]~P147(x28961)+P147(x28962)+~E(x28961,x28962)
% 192.24/192.23 [2897]P34(x28972,x28973,x28974)+~E(x28971,x28972)+~P34(x28971,x28973,x28974)
% 192.24/192.23 [2898]P34(x28983,x28982,x28984)+~E(x28981,x28982)+~P34(x28983,x28981,x28984)
% 192.24/192.23 [2899]P34(x28993,x28994,x28992)+~E(x28991,x28992)+~P34(x28993,x28994,x28991)
% 192.24/192.23 [2900]P32(x29002,x29003,x29004,x29005,x29006)+~E(x29001,x29002)+~P32(x29001,x29003,x29004,x29005,x29006)
% 192.24/192.23 [2901]P32(x29013,x29012,x29014,x29015,x29016)+~E(x29011,x29012)+~P32(x29013,x29011,x29014,x29015,x29016)
% 192.24/192.23 [2902]P32(x29023,x29024,x29022,x29025,x29026)+~E(x29021,x29022)+~P32(x29023,x29024,x29021,x29025,x29026)
% 192.24/192.23 [2903]P32(x29033,x29034,x29035,x29032,x29036)+~E(x29031,x29032)+~P32(x29033,x29034,x29035,x29031,x29036)
% 192.24/192.23 [2904]P32(x29043,x29044,x29045,x29046,x29042)+~E(x29041,x29042)+~P32(x29043,x29044,x29045,x29046,x29041)
% 192.24/192.23 [2905]~P99(x29051)+P99(x29052)+~E(x29051,x29052)
% 192.24/192.23 [2906]P22(x29062,x29063,x29064)+~E(x29061,x29062)+~P22(x29061,x29063,x29064)
% 192.24/192.23 [2907]P22(x29073,x29072,x29074)+~E(x29071,x29072)+~P22(x29073,x29071,x29074)
% 192.24/192.23 [2908]P22(x29083,x29084,x29082)+~E(x29081,x29082)+~P22(x29083,x29084,x29081)
% 192.24/192.23 [2909]~P75(x29091)+P75(x29092)+~E(x29091,x29092)
% 192.24/192.23 [2910]~P12(x29101)+P12(x29102)+~E(x29101,x29102)
% 192.24/192.23 [2911]~P127(x29111)+P127(x29112)+~E(x29111,x29112)
% 192.24/192.23 [2912]P56(x29122,x29123,x29124)+~E(x29121,x29122)+~P56(x29121,x29123,x29124)
% 192.24/192.23 [2913]P56(x29133,x29132,x29134)+~E(x29131,x29132)+~P56(x29133,x29131,x29134)
% 192.24/192.23 [2914]P56(x29143,x29144,x29142)+~E(x29141,x29142)+~P56(x29143,x29144,x29141)
% 192.24/192.23 [2915]P68(x29152,x29153)+~E(x29151,x29152)+~P68(x29151,x29153)
% 192.24/192.23 [2916]P68(x29163,x29162)+~E(x29161,x29162)+~P68(x29163,x29161)
% 192.24/192.23 [2917]~P137(x29171)+P137(x29172)+~E(x29171,x29172)
% 192.24/192.23 [2918]P13(x29182,x29183)+~E(x29181,x29182)+~P13(x29181,x29183)
% 192.24/192.23 [2919]P13(x29193,x29192)+~E(x29191,x29192)+~P13(x29193,x29191)
% 192.24/192.23 [2920]P64(x29202,x29203,x29204)+~E(x29201,x29202)+~P64(x29201,x29203,x29204)
% 192.24/192.23 [2921]P64(x29213,x29212,x29214)+~E(x29211,x29212)+~P64(x29213,x29211,x29214)
% 192.24/192.23 [2922]P64(x29223,x29224,x29222)+~E(x29221,x29222)+~P64(x29223,x29224,x29221)
% 192.24/192.23 [2923]~P122(x29231)+P122(x29232)+~E(x29231,x29232)
% 192.24/192.23 [2924]P42(x29242,x29243,x29244)+~E(x29241,x29242)+~P42(x29241,x29243,x29244)
% 192.24/192.23 [2925]P42(x29253,x29252,x29254)+~E(x29251,x29252)+~P42(x29253,x29251,x29254)
% 192.24/192.23 [2926]P42(x29263,x29264,x29262)+~E(x29261,x29262)+~P42(x29263,x29264,x29261)
% 192.24/192.23 [2927]~P123(x29271)+P123(x29272)+~E(x29271,x29272)
% 192.24/192.23 [2928]~P139(x29281)+P139(x29282)+~E(x29281,x29282)
% 192.24/192.23 [2929]P46(x29292,x29293)+~E(x29291,x29292)+~P46(x29291,x29293)
% 192.24/192.23 [2930]P46(x29303,x29302)+~E(x29301,x29302)+~P46(x29303,x29301)
% 192.24/192.23 [2931]~P133(x29311)+P133(x29312)+~E(x29311,x29312)
% 192.24/192.23 [2932]~P142(x29321)+P142(x29322)+~E(x29321,x29322)
% 192.24/192.23 [2933]~P93(x29331)+P93(x29332)+~E(x29331,x29332)
% 192.24/192.23 [2934]P35(x29342,x29343,x29344)+~E(x29341,x29342)+~P35(x29341,x29343,x29344)
% 192.24/192.23 [2935]P35(x29353,x29352,x29354)+~E(x29351,x29352)+~P35(x29353,x29351,x29354)
% 192.24/192.23 [2936]P35(x29363,x29364,x29362)+~E(x29361,x29362)+~P35(x29363,x29364,x29361)
% 192.24/192.23 [2937]P59(x29372,x29373)+~E(x29371,x29372)+~P59(x29371,x29373)
% 192.24/192.23 [2938]P59(x29383,x29382)+~E(x29381,x29382)+~P59(x29383,x29381)
% 192.24/192.23 [2939]~P100(x29391)+P100(x29392)+~E(x29391,x29392)
% 192.24/192.23 [2940]~P102(x29401)+P102(x29402)+~E(x29401,x29402)
% 192.24/192.23 [2941]P51(x29412,x29413,x29414,x29415,x29416,x29417)+~E(x29411,x29412)+~P51(x29411,x29413,x29414,x29415,x29416,x29417)
% 192.24/192.23 [2942]P51(x29423,x29422,x29424,x29425,x29426,x29427)+~E(x29421,x29422)+~P51(x29423,x29421,x29424,x29425,x29426,x29427)
% 192.24/192.23 [2943]P51(x29433,x29434,x29432,x29435,x29436,x29437)+~E(x29431,x29432)+~P51(x29433,x29434,x29431,x29435,x29436,x29437)
% 192.24/192.23 [2944]P51(x29443,x29444,x29445,x29442,x29446,x29447)+~E(x29441,x29442)+~P51(x29443,x29444,x29445,x29441,x29446,x29447)
% 192.24/192.23 [2945]P51(x29453,x29454,x29455,x29456,x29452,x29457)+~E(x29451,x29452)+~P51(x29453,x29454,x29455,x29456,x29451,x29457)
% 192.24/192.23 [2946]P51(x29463,x29464,x29465,x29466,x29467,x29462)+~E(x29461,x29462)+~P51(x29463,x29464,x29465,x29466,x29467,x29461)
% 192.24/192.23 [2947]P58(x29472,x29473)+~E(x29471,x29472)+~P58(x29471,x29473)
% 192.24/192.23 [2948]P58(x29483,x29482)+~E(x29481,x29482)+~P58(x29483,x29481)
% 192.24/192.23 [2949]P57(x29492,x29493)+~E(x29491,x29492)+~P57(x29491,x29493)
% 192.24/192.23 [2950]P57(x29503,x29502)+~E(x29501,x29502)+~P57(x29503,x29501)
% 192.24/192.23 [2951]~P118(x29511)+P118(x29512)+~E(x29511,x29512)
% 192.24/192.23 [2952]~P144(x29521)+P144(x29522)+~E(x29521,x29522)
% 192.24/192.23 [2953]P28(x29532,x29533,x29534,x29535,x29536,x29537)+~E(x29531,x29532)+~P28(x29531,x29533,x29534,x29535,x29536,x29537)
% 192.24/192.23 [2954]P28(x29543,x29542,x29544,x29545,x29546,x29547)+~E(x29541,x29542)+~P28(x29543,x29541,x29544,x29545,x29546,x29547)
% 192.24/192.23 [2955]P28(x29553,x29554,x29552,x29555,x29556,x29557)+~E(x29551,x29552)+~P28(x29553,x29554,x29551,x29555,x29556,x29557)
% 192.24/192.23 [2956]P28(x29563,x29564,x29565,x29562,x29566,x29567)+~E(x29561,x29562)+~P28(x29563,x29564,x29565,x29561,x29566,x29567)
% 192.24/192.23 [2957]P28(x29573,x29574,x29575,x29576,x29572,x29577)+~E(x29571,x29572)+~P28(x29573,x29574,x29575,x29576,x29571,x29577)
% 192.24/192.23 [2958]P28(x29583,x29584,x29585,x29586,x29587,x29582)+~E(x29581,x29582)+~P28(x29583,x29584,x29585,x29586,x29587,x29581)
% 192.24/192.23 [2959]~P92(x29591)+P92(x29592)+~E(x29591,x29592)
% 192.24/192.23 [2960]~P115(x29601)+P115(x29602)+~E(x29601,x29602)
% 192.24/192.23 [2961]P29(x29612,x29613,x29614,x29615,x29616,x29617)+~E(x29611,x29612)+~P29(x29611,x29613,x29614,x29615,x29616,x29617)
% 192.24/192.23 [2962]P29(x29623,x29622,x29624,x29625,x29626,x29627)+~E(x29621,x29622)+~P29(x29623,x29621,x29624,x29625,x29626,x29627)
% 192.24/192.23 [2963]P29(x29633,x29634,x29632,x29635,x29636,x29637)+~E(x29631,x29632)+~P29(x29633,x29634,x29631,x29635,x29636,x29637)
% 192.24/192.23 [2964]P29(x29643,x29644,x29645,x29642,x29646,x29647)+~E(x29641,x29642)+~P29(x29643,x29644,x29645,x29641,x29646,x29647)
% 192.24/192.23 [2965]P29(x29653,x29654,x29655,x29656,x29652,x29657)+~E(x29651,x29652)+~P29(x29653,x29654,x29655,x29656,x29651,x29657)
% 192.24/192.23 [2966]P29(x29663,x29664,x29665,x29666,x29667,x29662)+~E(x29661,x29662)+~P29(x29663,x29664,x29665,x29666,x29667,x29661)
% 192.24/192.23 [2967]~P143(x29671)+P143(x29672)+~E(x29671,x29672)
% 192.24/192.23 [2968]P37(x29682,x29683,x29684)+~E(x29681,x29682)+~P37(x29681,x29683,x29684)
% 192.24/192.23 [2969]P37(x29693,x29692,x29694)+~E(x29691,x29692)+~P37(x29693,x29691,x29694)
% 192.24/192.23 [2970]P37(x29703,x29704,x29702)+~E(x29701,x29702)+~P37(x29703,x29704,x29701)
% 192.24/192.23 [2971]~P10(x29711)+P10(x29712)+~E(x29711,x29712)
% 192.24/192.23 [2972]~P134(x29721)+P134(x29722)+~E(x29721,x29722)
% 192.24/192.23 [2973]~P145(x29731)+P145(x29732)+~E(x29731,x29732)
% 192.24/192.23 [2974]P18(x29742,x29743,x29744,x29745,x29746,x29747)+~E(x29741,x29742)+~P18(x29741,x29743,x29744,x29745,x29746,x29747)
% 192.24/192.23 [2975]P18(x29753,x29752,x29754,x29755,x29756,x29757)+~E(x29751,x29752)+~P18(x29753,x29751,x29754,x29755,x29756,x29757)
% 192.24/192.23 [2976]P18(x29763,x29764,x29762,x29765,x29766,x29767)+~E(x29761,x29762)+~P18(x29763,x29764,x29761,x29765,x29766,x29767)
% 192.24/192.23 [2977]P18(x29773,x29774,x29775,x29772,x29776,x29777)+~E(x29771,x29772)+~P18(x29773,x29774,x29775,x29771,x29776,x29777)
% 192.24/192.23 [2978]P18(x29783,x29784,x29785,x29786,x29782,x29787)+~E(x29781,x29782)+~P18(x29783,x29784,x29785,x29786,x29781,x29787)
% 192.24/192.23 [2979]P18(x29793,x29794,x29795,x29796,x29797,x29792)+~E(x29791,x29792)+~P18(x29793,x29794,x29795,x29796,x29797,x29791)
% 192.24/192.23 [2980]~P88(x29801)+P88(x29802)+~E(x29801,x29802)
% 192.24/192.23 [2981]~P117(x29811)+P117(x29812)+~E(x29811,x29812)
% 192.24/192.23 [2982]P54(x29822,x29823)+~E(x29821,x29822)+~P54(x29821,x29823)
% 192.24/192.23 [2983]P54(x29833,x29832)+~E(x29831,x29832)+~P54(x29833,x29831)
% 192.24/192.23 [2984]P17(x29842,x29843,x29844,x29845)+~E(x29841,x29842)+~P17(x29841,x29843,x29844,x29845)
% 192.24/192.23 [2985]P17(x29853,x29852,x29854,x29855)+~E(x29851,x29852)+~P17(x29853,x29851,x29854,x29855)
% 192.24/192.23 [2986]P17(x29863,x29864,x29862,x29865)+~E(x29861,x29862)+~P17(x29863,x29864,x29861,x29865)
% 192.24/192.23 [2987]P17(x29873,x29874,x29875,x29872)+~E(x29871,x29872)+~P17(x29873,x29874,x29875,x29871)
% 192.24/192.23 [2988]P62(x29882,x29883)+~E(x29881,x29882)+~P62(x29881,x29883)
% 192.24/192.23 [2989]P62(x29893,x29892)+~E(x29891,x29892)+~P62(x29893,x29891)
% 192.24/192.23 [2990]~P82(x29901)+P82(x29902)+~E(x29901,x29902)
% 192.24/192.23 [2991]~P141(x29911)+P141(x29912)+~E(x29911,x29912)
% 192.24/192.23 [2992]P26(x29922,x29923,x29924,x29925)+~E(x29921,x29922)+~P26(x29921,x29923,x29924,x29925)
% 192.24/192.23 [2993]P26(x29933,x29932,x29934,x29935)+~E(x29931,x29932)+~P26(x29933,x29931,x29934,x29935)
% 192.24/192.23 [2994]P26(x29943,x29944,x29942,x29945)+~E(x29941,x29942)+~P26(x29943,x29944,x29941,x29945)
% 192.24/192.23 [2995]P26(x29953,x29954,x29955,x29952)+~E(x29951,x29952)+~P26(x29953,x29954,x29955,x29951)
% 192.24/192.23 [2996]P52(x29962,x29963)+~E(x29961,x29962)+~P52(x29961,x29963)
% 192.24/192.23 [2997]P52(x29973,x29972)+~E(x29971,x29972)+~P52(x29973,x29971)
% 192.24/192.23 [2998]~P119(x29981)+P119(x29982)+~E(x29981,x29982)
% 192.24/192.23 [2999]~P124(x29991)+P124(x29992)+~E(x29991,x29992)
% 192.24/192.23 [3000]~P135(x30001)+P135(x30002)+~E(x30001,x30002)
% 192.24/192.23 [3001]~P121(x30011)+P121(x30012)+~E(x30011,x30012)
% 192.24/192.23 [3002]~P108(x30021)+P108(x30022)+~E(x30021,x30022)
% 192.24/192.23 [3003]~P76(x30031)+P76(x30032)+~E(x30031,x30032)
% 192.24/192.23 [3004]~P106(x30041)+P106(x30042)+~E(x30041,x30042)
% 192.24/192.23 [3005]P55(x30052,x30053,x30054)+~E(x30051,x30052)+~P55(x30051,x30053,x30054)
% 192.24/192.23 [3006]P55(x30063,x30062,x30064)+~E(x30061,x30062)+~P55(x30063,x30061,x30064)
% 192.24/192.23 [3007]P55(x30073,x30074,x30072)+~E(x30071,x30072)+~P55(x30073,x30074,x30071)
% 192.24/192.23 [3008]P50(x30082,x30083,x30084,x30085)+~E(x30081,x30082)+~P50(x30081,x30083,x30084,x30085)
% 192.24/192.23 [3009]P50(x30093,x30092,x30094,x30095)+~E(x30091,x30092)+~P50(x30093,x30091,x30094,x30095)
% 192.24/192.23 [3010]P50(x30103,x30104,x30102,x30105)+~E(x30101,x30102)+~P50(x30103,x30104,x30101,x30105)
% 192.24/192.23 [3011]P50(x30113,x30114,x30115,x30112)+~E(x30111,x30112)+~P50(x30113,x30114,x30115,x30111)
% 192.24/192.23 [3012]P27(x30122,x30123,x30124,x30125,x30126)+~E(x30121,x30122)+~P27(x30121,x30123,x30124,x30125,x30126)
% 192.24/192.23 [3013]P27(x30133,x30132,x30134,x30135,x30136)+~E(x30131,x30132)+~P27(x30133,x30131,x30134,x30135,x30136)
% 192.24/192.23 [3014]P27(x30143,x30144,x30142,x30145,x30146)+~E(x30141,x30142)+~P27(x30143,x30144,x30141,x30145,x30146)
% 192.24/192.23 [3015]P27(x30153,x30154,x30155,x30152,x30156)+~E(x30151,x30152)+~P27(x30153,x30154,x30155,x30151,x30156)
% 192.24/192.23 [3016]P27(x30163,x30164,x30165,x30166,x30162)+~E(x30161,x30162)+~P27(x30163,x30164,x30165,x30166,x30161)
% 192.24/192.23 [3017]~P94(x30171)+P94(x30172)+~E(x30171,x30172)
% 192.24/192.23 [3018]P16(x30182,x30183,x30184,x30185,x30186)+~E(x30181,x30182)+~P16(x30181,x30183,x30184,x30185,x30186)
% 192.24/192.23 [3019]P16(x30193,x30192,x30194,x30195,x30196)+~E(x30191,x30192)+~P16(x30193,x30191,x30194,x30195,x30196)
% 192.24/192.23 [3020]P16(x30203,x30204,x30202,x30205,x30206)+~E(x30201,x30202)+~P16(x30203,x30204,x30201,x30205,x30206)
% 192.24/192.23 [3021]P16(x30213,x30214,x30215,x30212,x30216)+~E(x30211,x30212)+~P16(x30213,x30214,x30215,x30211,x30216)
% 192.24/192.23 [3022]P16(x30223,x30224,x30225,x30226,x30222)+~E(x30221,x30222)+~P16(x30223,x30224,x30225,x30226,x30221)
% 192.24/192.23 [3023]P15(x30232,x30233,x30234)+~E(x30231,x30232)+~P15(x30231,x30233,x30234)
% 192.24/192.23 [3024]P15(x30243,x30242,x30244)+~E(x30241,x30242)+~P15(x30243,x30241,x30244)
% 192.24/192.23 [3025]P15(x30253,x30254,x30252)+~E(x30251,x30252)+~P15(x30253,x30254,x30251)
% 192.24/192.23 [3026]~P125(x30261)+P125(x30262)+~E(x30261,x30262)
% 192.24/192.23
% 192.24/192.23 %-------------------------------------------
% 192.29/192.29 cnf(10384,plain,
% 192.29/192.29 (~E(f329(a117,x103841),x103841)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10394,plain,
% 192.29/192.29 (~E(f329(a117,x103941),x103941)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10407,plain,
% 192.29/192.29 (~E(f329(a117,x104071),x104071)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10412,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x104121),f118(x104121)),x104122))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10415,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x104151),f118(x104151)),x104152))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10418,plain,
% 192.29/192.29 (~E(f329(a117,x104181),x104181)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10421,plain,
% 192.29/192.29 (~E(f329(a117,x104211),x104211)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10424,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x104241),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(10427,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x104271),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(10444,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x104441)),x104441))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(10447,plain,
% 192.29/192.29 (~E(f329(f329(f154(x104471),x104472),x104473),x104473)),
% 192.29/192.29 inference(rename_variables,[],[4602])).
% 192.29/192.29 cnf(10453,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x104531),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(10456,plain,
% 192.29/192.29 (E(f329(f287(x104561,x104561),f268(x104561,x104562)),x104562)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(10459,plain,
% 192.29/192.29 (E(f329(f287(x104591,x104591),f268(x104591,x104592)),x104592)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(10464,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x104641),x104641))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(10469,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x104691),x104692)),x104692))),
% 192.29/192.29 inference(rename_variables,[],[4662])).
% 192.29/192.29 cnf(10472,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x104721),x104722)),x104722))),
% 192.29/192.29 inference(rename_variables,[],[4662])).
% 192.29/192.29 cnf(10479,plain,
% 192.29/192.29 (~E(x104791,f329(a117,x104791))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,3216,3384,10456,3258,3323,3254,3282,3265,4602,3493,3408,4642,10424,10427,4639,4597,4647,10412,4638,4648,4242,4645,3400,4634,4664,4662,10469,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285])).
% 192.29/192.29 cnf(10493,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x104931),x104931))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(10496,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f46(a909,x104961,x104962)),x104961))),
% 192.29/192.29 inference(rename_variables,[],[3880])).
% 192.29/192.29 cnf(10517,plain,
% 192.29/192.29 (E(f329(f36(a909),f329(f285(a909),x105171)),x105171)),
% 192.29/192.29 inference(rename_variables,[],[3318])).
% 192.29/192.29 cnf(10525,plain,
% 192.29/192.29 (~E(f329(a117,x105251),x105251)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10528,plain,
% 192.29/192.29 (~E(f329(a117,x105281),x105281)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10531,plain,
% 192.29/192.29 (~E(f329(a117,x105311),x105311)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10533,plain,
% 192.29/192.29 (P1(f329(a196,a102))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,3216,3384,10456,3258,3323,3254,3282,3265,3354,4602,3318,4668,3339,3493,3408,4642,10424,10427,4008,3428,4639,4597,4647,10412,4638,10464,10493,3518,3943,3880,4648,10444,4242,4645,4630,3400,4634,4664,4662,10469,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428])).
% 192.29/192.29 cnf(10536,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x105361),f329(a117,x105361)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(10545,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x105451),x105451))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(10552,plain,
% 192.29/192.29 (E(f329(f287(x105521,x105521),f268(x105521,x105522)),x105522)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(10555,plain,
% 192.29/192.29 (E(f329(f287(x105551,x105551),f268(x105551,x105552)),x105552)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(10578,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x105781),f118(x105781)),x105782))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10607,plain,
% 192.29/192.29 (~E(f329(f329(f154(x106071),x106072),x106073),x106073)),
% 192.29/192.29 inference(rename_variables,[],[4602])).
% 192.29/192.29 cnf(10610,plain,
% 192.29/192.29 (~E(f329(a26,x106101),f32(x106102,x106103))),
% 192.29/192.29 inference(rename_variables,[],[4592])).
% 192.29/192.29 cnf(10623,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x106231),x106231))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(10626,plain,
% 192.29/192.29 (~E(f329(a117,x106261),x106261)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10629,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x106291,f917(x106292,a904))),x106293),x106294))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(10636,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x106361),x106361))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(10649,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x106491),f329(a117,x106491)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(10670,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x106701),f118(x106701)),x106702))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10689,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x106891),f118(x106891)),x106892))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10696,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x106961),f118(x106961)),x106962))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10709,plain,
% 192.29/192.29 (~E(f329(a26,x107091),f32(x107092,x107093))),
% 192.29/192.29 inference(rename_variables,[],[4592])).
% 192.29/192.29 cnf(10714,plain,
% 192.29/192.29 (P1(f329(f329(f331(x107141),x107142),f247(f917(x107141,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(10721,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x107211),f118(x107211)),x107212))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10726,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x107261),f329(a117,x107261)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(10729,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x107291),f118(x107291)),x107292))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10732,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x107321),f118(x107321)),x107322))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10735,plain,
% 192.29/192.29 (~P1(f329(f63(x107351,x107352,f191(f917(x107351,a904))),x107353))),
% 192.29/192.29 inference(rename_variables,[],[4661])).
% 192.29/192.29 cnf(10738,plain,
% 192.29/192.29 (~P1(f329(f63(x107381,x107382,f191(f917(x107381,a904))),x107383))),
% 192.29/192.29 inference(rename_variables,[],[4661])).
% 192.29/192.29 cnf(10741,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x107411,f917(x107412,a904))),x107413),x107414))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(10746,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x107461),f118(x107461)),x107462))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10757,plain,
% 192.29/192.29 (~E(f329(a117,x107571),x107571)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(10771,plain,
% 192.29/192.29 (P1(f329(f329(f240(a104),f329(a3,x107711)),f329(a3,f329(a117,x107711))))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,4592,10610,3216,3384,10456,10459,10552,3258,3323,3254,3282,3265,3894,3354,4602,10447,3318,4201,4668,3339,3787,3493,10536,10649,10726,3875,3408,4642,10424,10427,10453,4655,3863,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,4151,3425,10545,3426,3427,4638,10464,10493,3578,3518,3943,3880,10496,4648,10444,4242,4645,4630,3400,3402,4631,4634,4661,10735,4664,4666,10629,3903,4662,10469,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203])).
% 192.29/192.29 cnf(10782,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x107821),x107821))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(10785,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x107851),f329(a117,f329(f329(f82(a909),x107852),x107851))))),
% 192.29/192.29 inference(rename_variables,[],[3873])).
% 192.29/192.29 cnf(10788,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x107881),f329(f329(f83(a909),x107881),x107881)))),
% 192.29/192.29 inference(rename_variables,[],[3688])).
% 192.29/192.29 cnf(10791,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x107911),f329(f329(f83(a909),x107911),x107911)))),
% 192.29/192.29 inference(rename_variables,[],[3688])).
% 192.29/192.29 cnf(10796,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x107961),f329(a117,x107961)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(10799,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x107991),f329(a117,x107991)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(10802,plain,
% 192.29/192.29 (P1(f329(f329(f331(x108021),x108022),f247(f917(x108021,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(10821,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x108211),x108212)),x108212))),
% 192.29/192.29 inference(rename_variables,[],[4662])).
% 192.29/192.29 cnf(10824,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x108241),x108242)),x108242))),
% 192.29/192.29 inference(rename_variables,[],[4662])).
% 192.29/192.29 cnf(10827,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x108271)),x108271))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(10830,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x108301)),x108301))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(10833,plain,
% 192.29/192.29 (P1(f329(f247(f917(x108331,a904)),x108332))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(10836,plain,
% 192.29/192.29 (E(f329(f36(a909),f329(f285(a909),x108361)),x108361)),
% 192.29/192.29 inference(rename_variables,[],[3318])).
% 192.29/192.29 cnf(10839,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x108391),f329(a117,x108391)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(10846,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x108461),x108461))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(10851,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x108511),x108511))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(10860,plain,
% 192.29/192.29 (E(f329(f287(x108601,x108601),f268(x108601,x108602)),x108602)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(10863,plain,
% 192.29/192.29 (P1(f329(f247(f917(x108631,a904)),x108632))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(10866,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x108661))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(10868,plain,
% 192.29/192.29 (P38(x108681,f329(f239(f917(x108682,a904)),f191(f917(x108682,a904))),x108683)),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,4592,10610,3216,3384,10456,10459,10552,10555,3258,3323,3254,3282,3265,3894,3354,4602,10447,3318,10517,4201,4668,3339,3787,3724,3493,10536,10649,10726,10796,10799,3875,3408,4642,10424,10427,10453,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,4151,3425,10545,10636,10782,3426,3427,10623,4638,10464,10493,3578,10714,3486,10833,3518,3943,3880,10496,4648,10444,10827,3446,4242,4645,4630,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,4664,4666,10629,3903,4662,10469,10472,10821,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431])).
% 192.29/192.29 cnf(10869,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x108691,a904)),f191(f917(x108691,a904))),x108692))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(10872,plain,
% 192.29/192.29 (P1(f329(f247(f917(x108721,a904)),x108722))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(10875,plain,
% 192.29/192.29 (P1(f329(f247(f917(x108751,a904)),x108752))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(10877,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(f329(f83(a909),f329(a117,x108771)),f329(a117,x108771))),x108771))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,4592,10610,3216,3384,10456,10459,10552,10555,3258,3323,3254,3282,3265,3894,3354,4602,10447,3318,10517,4201,4668,3339,3787,3724,3493,10536,10649,10726,10796,10799,3875,3408,4642,10424,10427,10453,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,4151,3425,10545,10636,10782,3426,3427,10623,4638,10464,10493,3578,10714,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,3446,4242,4645,4630,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,4664,4666,10629,3903,4662,10469,10472,10821,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440])).
% 192.29/192.29 cnf(10878,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x108781),f329(f329(f83(a909),x108781),x108781)))),
% 192.29/192.29 inference(rename_variables,[],[3688])).
% 192.29/192.29 cnf(10882,plain,
% 192.29/192.29 (E(f329(f171(x108821),f176(x108822,f329(f329(f137(x108821),f329(f171(x108821),x108823)),f329(f329(f154(x108821),x108824),f118(x108821))),f118(x108822))),f329(f329(f154(x108821),x108824),x108823))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,4592,10610,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3354,4602,10447,3318,10517,4201,4668,3339,3787,3724,3493,10536,10649,10726,10796,10799,3875,3408,4642,10424,10427,10453,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,4151,3425,10545,10636,10782,3426,3427,10623,4638,10464,10493,3578,10714,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,3446,4242,4645,4630,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,4664,4666,10629,3903,4662,10469,10472,10821,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479])).
% 192.29/192.29 cnf(10895,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,f329(a117,f329(f329(f82(a909),x108951),x108952)))),f329(a117,x108952)))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,4592,10610,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3354,4602,10447,3318,10517,4201,4668,3339,3787,3724,3493,10536,10649,10726,10796,10799,10839,3875,3408,4642,10424,10427,10453,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,4151,3425,10545,10636,10782,3426,3427,10623,4638,10464,10493,3578,10714,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,3446,4242,4645,4630,4632,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,4664,4666,10629,3903,4662,10469,10472,10821,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488])).
% 192.29/192.29 cnf(10918,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x109181),x109181))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(10929,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x109291),f118(x109291)),x109292))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(10938,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x109381),f329(a117,x109381)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(10940,plain,
% 192.29/192.29 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x109401),f80(a1))),x109401))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,4592,10610,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3354,4602,10447,3318,10517,4201,4059,4668,3339,3787,3724,3493,10536,10649,10726,10796,10799,10839,3875,3408,4642,10424,10427,10453,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,4151,3425,10545,10636,10782,3426,10918,3427,10623,10851,4638,10464,10493,3578,10714,4651,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,4242,4645,4630,4632,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,4664,4666,10629,3903,4662,10469,10472,10821,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749])).
% 192.29/192.29 cnf(10941,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x109411),x109411))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(10946,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x109461),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(10959,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x109591),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(10962,plain,
% 192.29/192.29 (~P1(f329(f329(f240(f917(x109621,a904)),x109622),f191(f917(x109621,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4659])).
% 192.29/192.29 cnf(10965,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x109651),x109651))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(10968,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x109681),x109681))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(10982,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x109821),f329(f329(f23(a909),x109821),x109822)))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,4592,10610,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3354,4602,10447,3318,10517,4201,4059,4668,3339,3787,3724,3493,10536,10649,10726,10796,10799,10839,3875,3408,4642,10424,10427,10453,10946,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,4163,4151,4659,3425,10545,10636,10782,3426,10918,10965,10968,3427,10623,10851,4638,10464,10493,3578,10714,4651,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,4242,4645,4630,4632,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,4664,4666,10629,3903,4662,10469,10472,10821,3873,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911])).
% 192.29/192.29 cnf(10983,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x109831),x109831))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(10992,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x109921),x109922),f191(f917(x109921,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(10999,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x109991),x109991))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(11002,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x110021),x110022),f191(f917(x110021,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11005,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x110051,a904)),f329(f312(x110052,x110051,x110053),f329(f313(x110052,x110051,x110053),x110054))),x110054))),
% 192.29/192.29 inference(rename_variables,[],[4297])).
% 192.29/192.29 cnf(11012,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x110121,a904)),f329(f175(x110121),f329(f139(x110121,x110122),x110123))),f329(f175(x110121),x110123)))),
% 192.29/192.29 inference(rename_variables,[],[4068])).
% 192.29/192.29 cnf(11015,plain,
% 192.29/192.29 (E(f329(f312(x110151,x110151,f5(x110151)),x110152),x110152)),
% 192.29/192.29 inference(rename_variables,[],[3482])).
% 192.29/192.29 cnf(11018,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x110181))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(11021,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x110211),x110211))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(11024,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x110241),x110241))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(11033,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x110331),x110331))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(11044,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x110441),f329(a117,f329(f329(f82(a909),x110442),x110441))))),
% 192.29/192.29 inference(rename_variables,[],[3873])).
% 192.29/192.29 cnf(11047,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x110471),f329(f329(f83(a909),x110471),x110471)))),
% 192.29/192.29 inference(rename_variables,[],[3688])).
% 192.29/192.29 cnf(11057,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x110571),x110571))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(11060,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x110601),x110601))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(11063,plain,
% 192.29/192.29 (~E(f329(a117,x110631),x110631)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11068,plain,
% 192.29/192.29 (P1(f329(f329(f331(x110681),x110682),f247(f917(x110681,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(11073,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x110731),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(11084,plain,
% 192.29/192.29 (~E(f329(a117,x110841),f2(a909))),
% 192.29/192.29 inference(rename_variables,[],[4589])).
% 192.29/192.29 cnf(11091,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x110911))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(11098,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x110981),x110981))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(11107,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x111071),x111072),f191(f917(x111071,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11109,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x111091,a904)),f39(f917(x111091,a904),f329(f310(x111091),x111092))),x111092))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,4592,10610,4589,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3482,3354,4602,10447,3318,10517,4201,4059,4668,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,3875,3408,4642,10424,10427,10453,10946,10959,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,4163,4068,11012,3788,4151,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,4651,10992,11002,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902])).
% 192.29/192.29 cnf(11111,plain,
% 192.29/192.29 (E(f329(f329(f106(f917(x111111,a904)),f329(f329(f106(f917(x111111,a904)),x111112),f329(f81(f917(x111111,a904)),x111113))),x111113),f191(f917(x111111,a904)))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,4592,10610,4589,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3482,3354,4602,10447,3318,10517,4201,4059,4668,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,3875,3408,4642,10424,10427,10453,10946,10959,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,4163,4068,11012,3788,4151,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,4651,10992,11002,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904])).
% 192.29/192.29 cnf(11115,plain,
% 192.29/192.29 (P1(f329(f329(f331(x111151),x111152),f247(f917(x111151,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(11118,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x111181),f910(x111181))),f329(f329(f257(f910(x111181),f910(x111181)),x111182),f118(x111181))),f148(x111181,x111183)))),
% 192.29/192.29 inference(rename_variables,[],[4668])).
% 192.29/192.29 cnf(11124,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(x111241,x111241)),x111242),f268(x111241,f191(f917(x111241,a904)))))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,4592,10610,4589,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3482,3354,4602,10447,3318,10517,4201,4059,4668,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,3875,3408,4642,10424,10427,10453,10946,10959,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,4163,4068,11012,3788,4151,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,4651,10992,11002,11107,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053])).
% 192.29/192.29 cnf(11125,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x111251),x111252),f191(f917(x111251,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11127,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x111271),x111272),f329(f313(x111271,x111273,x111274),f191(f917(x111273,a904)))))),
% 192.29/192.29 inference(scs_inference,[],[4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,4592,10610,4589,3216,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3482,3354,4602,10447,3318,10517,4201,4059,4668,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,3875,3408,4642,10424,10427,10453,10946,10959,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,4163,4068,11012,3788,4151,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,4651,10992,11002,11107,11125,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,3872,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085])).
% 192.29/192.29 cnf(11128,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x111281),x111282),f191(f917(x111281,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11131,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x111311,a904)),x111312),f329(f329(f311(x111311),x111313),x111312)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(11134,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x111341),x111341))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(11137,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x111371,a904)),x111372),f329(f329(f311(x111371),x111373),x111372)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(11140,plain,
% 192.29/192.29 (E(f329(f312(x111401,x111401,f5(x111401)),x111402),x111402)),
% 192.29/192.29 inference(rename_variables,[],[3482])).
% 192.29/192.29 cnf(11153,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x111531,a904)),x111532),f329(f329(f311(x111531),x111533),x111532)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(11162,plain,
% 192.29/192.29 (~E(f329(a26,x111621),f32(x111622,x111623))),
% 192.29/192.29 inference(rename_variables,[],[4592])).
% 192.29/192.29 cnf(11165,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x111651),f118(x111651)),x111652))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(11169,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),f329(a117,x111691)),x111691)),f309(a909,a319)))),
% 192.29/192.29 inference(scs_inference,[],[4665,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,4592,10610,10709,4589,3216,3268,3384,10456,10459,10552,10555,3361,3258,3323,3254,3282,3265,3894,3482,11015,3354,4602,10447,3318,10517,4201,4059,4668,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,3875,3408,4642,10424,10427,10453,10946,10959,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,4163,4068,11012,3788,4151,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,4651,10992,11002,11107,11125,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,4026,3870,11131,11137,3872,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522])).
% 192.29/192.29 cnf(11178,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x111781),f329(a117,x111781)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(11188,plain,
% 192.29/192.29 (~E(f329(f312(x111881,f917(x111881,a904),x111882),x111883),f329(f310(x111881),x111883))),
% 192.29/192.29 inference(rename_variables,[],[4649])).
% 192.29/192.29 cnf(11191,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x111911),x111912),f191(f917(x111911,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11194,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x111941),x111942),f191(f917(x111941,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11197,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(x111971,x111971)),f329(f329(f257(x111971,x111971),x111972),x111973)),f156(x111971,f118(f917(x111971,a909)))))),
% 192.29/192.29 inference(rename_variables,[],[4667])).
% 192.29/192.29 cnf(11200,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(x112001,x112001)),f329(f329(f257(x112001,x112001),x112002),x112003)),f156(x112001,f118(f917(x112001,a909)))))),
% 192.29/192.29 inference(rename_variables,[],[4667])).
% 192.29/192.29 cnf(11205,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x112051),x112052),f191(f917(x112051,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11208,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x112081,x112081)),f329(f329(f257(x112081,x112081),x112082),x112082)),f309(x112081,x112083)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(11211,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x112111,a904)),f329(f175(x112111),f179(x112111,x112112,x112113))),f329(f175(x112111),x112112)))),
% 192.29/192.29 inference(rename_variables,[],[4117])).
% 192.29/192.29 cnf(11214,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x112141,a904)),x112142),f247(f917(x112141,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(11230,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x112301,a904)),f191(f917(x112301,a904))),x112302))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(11241,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x112411),f910(x112411))),f329(f329(f257(f910(x112411),f910(x112411)),x112412),f118(x112411))),f150(x112411,x112413)))),
% 192.29/192.29 inference(rename_variables,[],[4669])).
% 192.29/192.29 cnf(11252,plain,
% 192.29/192.29 (~E(f329(a117,x112521),x112521)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11255,plain,
% 192.29/192.29 (~E(f329(a117,x112551),x112551)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11259,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(f910(x112591),f910(x112591))),f329(f329(f257(f910(x112591),f910(x112591)),f118(x112591)),f118(x112591))),f329(f329(f291(f910(x112591),f910(x112591),f910(x112591)),f161(x112591,x112592)),f309(f910(x112591),f161(x112591,x112592)))))),
% 192.29/192.29 inference(scs_inference,[],[4665,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,3318,10517,4201,4059,11208,4668,11118,4669,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,4163,4068,11012,4117,3788,4151,3806,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,4651,10992,11002,11107,11125,11128,11191,11194,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,4026,3870,11131,11137,3872,10869,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760])).
% 192.29/192.29 cnf(11264,plain,
% 192.29/192.29 (E(f329(x112641,f329(f94(x112642,x112643,f247(f917(x112642,a904)),x112641),f329(x112641,x112644))),f329(x112641,x112644))),
% 192.29/192.29 inference(scs_inference,[],[4665,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,3318,10517,4201,4059,11208,4668,11118,4669,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,4163,4068,11012,4117,3788,4151,3806,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,4651,10992,11002,11107,11125,11128,11191,11194,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,4026,3870,11131,11137,3872,10869,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773])).
% 192.29/192.29 cnf(11267,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x112671,a904)),x112672),x112672))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(11274,plain,
% 192.29/192.29 (P31(x112741,x112741,f5(x112741),x112742)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(11279,plain,
% 192.29/192.29 (~E(f329(f312(x112791,f917(x112791,a904),x112792),x112793),f329(f310(x112791),x112793))),
% 192.29/192.29 inference(rename_variables,[],[4649])).
% 192.29/192.29 cnf(11284,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x112841,a904)),x112842),f247(f917(x112841,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(11298,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x112981),x112982),f191(f917(x112981,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11301,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x113011)),x113011))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(11306,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x113061),x113062),f191(f917(x113061,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11316,plain,
% 192.29/192.29 (~P1(f329(f329(f331(a909),f329(a117,f329(f145(a909,a909,f82(a909),f2(a909)),x113161))),f329(f175(a909),x113161)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,11188,3529,3318,10517,4201,4059,11208,4668,11118,4669,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,4163,4068,11012,4117,3788,4151,3806,11214,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,4026,3870,11131,11137,3720,3872,10869,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980])).
% 192.29/192.29 cnf(11317,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x113171)),x113171))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(11320,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x113201),x113202),f191(f917(x113201,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11328,plain,
% 192.29/192.29 (E(f329(f139(x113281,f247(f917(x113282,a904))),f765(x113283,x113284,f329(f329(f154(x113281),x113284),x113283),f247(f917(x113282,a904)),x113281)),x113283)),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,11188,3529,3318,10517,4201,4059,11208,4668,11118,4669,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,4163,4068,11012,4117,3788,4151,3806,11214,4659,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,4026,3870,11131,11137,3720,3872,10869,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063])).
% 192.29/192.29 cnf(11333,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x113331,x113331)),f329(f329(f257(x113331,x113331),x113332),x113332)),f309(x113331,x113333)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(11336,plain,
% 192.29/192.29 (P1(f329(f329(f331(x113361),x113362),f247(f917(x113361,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(11339,plain,
% 192.29/192.29 (P1(f329(f329(f331(x113391),x113392),f247(f917(x113391,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(11346,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x113461),f910(x113461))),f329(f329(f257(f910(x113461),f910(x113461)),x113462),f118(x113461))),f148(x113461,x113463)))),
% 192.29/192.29 inference(rename_variables,[],[4668])).
% 192.29/192.29 cnf(11349,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x113491),f910(x113491))),f329(f329(f257(f910(x113491),f910(x113491)),x113492),f118(x113491))),f150(x113491,x113493)))),
% 192.29/192.29 inference(rename_variables,[],[4669])).
% 192.29/192.29 cnf(11352,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x113521),f910(x113521))),f329(f329(f257(f910(x113521),f910(x113521)),x113522),f118(x113521))),f160(x113521,x113523)))),
% 192.29/192.29 inference(rename_variables,[],[4670])).
% 192.29/192.29 cnf(11357,plain,
% 192.29/192.29 (~P1(f329(f329(f240(f917(x113571,a904)),x113572),f191(f917(x113571,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4659])).
% 192.29/192.29 cnf(11359,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x113591),x113592),f329(f312(x113593,x113591,x113594),f191(f917(x113593,a904)))))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,11188,3529,3318,10517,4201,4059,11208,4668,11118,11346,4669,11241,4670,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,4163,4068,11012,4117,3788,4151,3806,11214,4659,10962,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,4026,3870,11131,11137,3720,3872,10869,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227])).
% 192.29/192.29 cnf(11360,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x113601),x113602),f191(f917(x113601,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11374,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x113741,a904)),x113742),f329(f329(f115(f917(x113741,a904)),x113743),f247(f917(x113741,a904)))))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,11188,3529,3318,10517,4201,4059,11208,4668,11118,11346,4669,11241,4670,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,4163,4068,11012,4117,3788,4151,3806,11214,11284,4659,10962,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,4026,3870,11131,11137,3720,3872,10869,3688,10788,10791,10878,11047,4664,4666,10629,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262])).
% 192.29/192.29 cnf(11375,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x113751,a904)),x113752),f247(f917(x113751,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(11378,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x113781,f917(x113782,a904))),x113783),x113784))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(11382,plain,
% 192.29/192.29 (~P1(f329(f329(f260(x113821,x113822,a904,f329(f175(x113823),f118(x113823))),x113824),x113825))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,11188,3529,3318,10517,4201,4059,11208,4668,11118,11346,4669,11241,4670,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,4163,4068,11012,4117,3788,4151,3806,11214,11284,4659,10962,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,4026,3870,11131,11137,3720,3872,10869,3688,10788,10791,10878,11047,4664,4666,10629,10741,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371])).
% 192.29/192.29 cnf(11383,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x113831),f118(x113831)),x113832))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(11388,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x113881),x113882),f191(f917(x113881,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11391,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(x113911,x113911)),f329(f329(f257(x113911,x113911),x113912),x113913)),f156(x113911,f118(f917(x113911,a909)))))),
% 192.29/192.29 inference(rename_variables,[],[4667])).
% 192.29/192.29 cnf(11394,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x113941,a904)),x113942),x113942))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(11397,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x113971),x113972),f191(f917(x113971,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11400,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x114001,a904)),f191(f917(x114001,a904))),x114002))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(11403,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x114031,x114031)),f329(f329(f257(x114031,x114031),x114032),x114032)),f309(x114031,x114033)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(11405,plain,
% 192.29/192.29 (~P41(x114051,x114052,x114053,f329(f329(f157(x114054,x114051),x114055),f329(a117,f118(x114054))),f118(x114052))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,11188,3529,3318,10517,4201,4059,11208,11333,4668,11118,11346,4669,11241,4670,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,4163,4068,11012,4117,3788,4151,3806,11214,11284,4659,10962,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,11200,4026,3870,11131,11137,3720,11267,3872,10869,11230,3688,10788,10791,10878,11047,4664,4666,10629,10741,4297,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443])).
% 192.29/192.29 cnf(11414,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x114141),f910(x114141))),f329(f329(f257(f910(x114141),f910(x114141)),x114142),f118(x114141))),f160(x114141,x114143)))),
% 192.29/192.29 inference(rename_variables,[],[4670])).
% 192.29/192.29 cnf(11421,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x114211),f910(x114211))),f329(f329(f257(f910(x114211),f910(x114211)),f118(x114211)),x114212)),f148(x114211,x114213)))),
% 192.29/192.29 inference(rename_variables,[],[4671])).
% 192.29/192.29 cnf(11429,plain,
% 192.29/192.29 (P1(f329(f329(f331(x114291),x114292),f247(f917(x114291,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(11434,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x114341,a904)),f191(f917(x114341,a904))),x114342))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(11437,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x114371),x114372),f191(f917(x114371,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11440,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x114401,a904)),x114402),f247(f917(x114401,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(11445,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x114451,a904)),f191(f917(x114451,a904))),x114452))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(11447,plain,
% 192.29/192.29 (~P1(f329(f67(a909,x114471,x114472,x114473,f247(f917(a909,a904))),x114474))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,4649,11188,3529,3318,10517,4201,4059,11208,11333,4668,11118,11346,4669,11241,4670,11352,4671,4672,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,11339,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,3486,10833,10863,10872,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,11200,4026,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,4666,10629,10741,4297,4205,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725])).
% 192.29/192.29 cnf(11458,plain,
% 192.29/192.29 (P1(f329(f247(f917(x114581,a904)),x114582))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(11466,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x114661),f910(x114661))),f329(f329(f257(f910(x114661),f910(x114661)),x114662),f118(x114661))),f148(x114661,x114663)))),
% 192.29/192.29 inference(rename_variables,[],[4668])).
% 192.29/192.29 cnf(11469,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x114691),f910(x114691))),f329(f329(f257(f910(x114691),f910(x114691)),x114692),f118(x114691))),f150(x114691,x114693)))),
% 192.29/192.29 inference(rename_variables,[],[4669])).
% 192.29/192.29 cnf(11472,plain,
% 192.29/192.29 (~E(f329(f329(f154(x114721),x114722),x114723),x114723)),
% 192.29/192.29 inference(rename_variables,[],[4602])).
% 192.29/192.29 cnf(11475,plain,
% 192.29/192.29 (~E(f329(a117,x114751),x114751)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11478,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x114781),x114782),f191(f917(x114781,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11483,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x114831),x114832),f191(f917(x114831,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11486,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(f910(x114861),f910(x114861))),f329(f329(f257(f910(x114861),f910(x114861)),x114862),x114862)),f161(x114861,f309(x114861,x114863))))),
% 192.29/192.29 inference(rename_variables,[],[4194])).
% 192.29/192.29 cnf(11489,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x114891),f910(x114891))),f329(f329(f257(f910(x114891),f910(x114891)),x114892),f118(x114891))),f148(x114891,x114893)))),
% 192.29/192.29 inference(rename_variables,[],[4668])).
% 192.29/192.29 cnf(11499,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x114991),x114992),f191(f917(x114991,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11502,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x115021),x115022),f191(f917(x115021,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11505,plain,
% 192.29/192.29 (P1(f329(f329(f331(x115051),x115052),f247(f917(x115051,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(11508,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x115081),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(11513,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(x115131,x115131)),f329(f329(f257(x115131,x115131),x115132),x115133)),f156(x115131,f118(f917(x115131,a909)))))),
% 192.29/192.29 inference(rename_variables,[],[4667])).
% 192.29/192.29 cnf(11516,plain,
% 192.29/192.29 (~E(f329(f312(x115161,f917(x115161,a904),x115162),x115163),f329(f310(x115161),x115163))),
% 192.29/192.29 inference(rename_variables,[],[4649])).
% 192.29/192.29 cnf(11519,plain,
% 192.29/192.29 (~E(f329(f312(x115191,f917(x115191,a904),x115192),x115193),f329(f310(x115191),x115193))),
% 192.29/192.29 inference(rename_variables,[],[4649])).
% 192.29/192.29 cnf(11521,plain,
% 192.29/192.29 (E(f329(f329(f257(a909,a909),f668(f309(a909,a319),a319,a909,f329(f329(f257(a909,a909),x115211),f329(a117,x115211)),a909,a909)),f671(f309(a909,a319),a319,a909,f329(f329(f257(a909,a909),x115211),f329(a117,x115211)),a909,a909)),f329(f329(f257(a909,a909),x115211),f329(a117,x115211)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,10607,4649,11188,11279,11516,3529,3318,10517,4201,4059,11208,11333,4668,11118,11346,11466,4669,11241,11349,4670,11352,4671,11421,4672,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4194,11486,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,11339,11429,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,3486,10833,10863,10872,10875,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,11200,11391,4026,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,4666,10629,10741,4297,4205,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078])).
% 192.29/192.29 cnf(11524,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x115241),f910(x115241))),f329(f329(f257(f910(x115241),f910(x115241)),x115242),f118(x115241))),f148(x115241,x115243)))),
% 192.29/192.29 inference(rename_variables,[],[4668])).
% 192.29/192.29 cnf(11527,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x115271),f910(x115271))),f329(f329(f257(f910(x115271),f910(x115271)),x115272),f118(x115271))),f150(x115271,x115273)))),
% 192.29/192.29 inference(rename_variables,[],[4669])).
% 192.29/192.29 cnf(11530,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x115301),f910(x115301))),f329(f329(f257(f910(x115301),f910(x115301)),x115302),f118(x115301))),f148(x115301,x115303)))),
% 192.29/192.29 inference(rename_variables,[],[4668])).
% 192.29/192.29 cnf(11533,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x115331),x115332),f191(f917(x115331,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11535,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x115351,x115352)),f329(f329(f257(x115351,x115352),f329(x115353,x115354)),f329(x115355,x115354))),f329(f312(f916(x115356,x115356),f916(x115351,x115352),f263(x115356,x115351,x115356,x115352,x115353,x115355)),f309(x115356,x115357))))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,4592,10610,10709,11162,4589,3216,3268,3384,10456,10459,10552,10555,3361,3882,3258,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,10607,4649,11188,11279,11516,3529,3318,10517,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,4669,11241,11349,11469,4670,11352,4671,11421,4672,3339,3620,3787,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,4642,10424,10427,10453,10946,10959,11073,4655,3863,3629,4008,3452,3454,3428,4639,4597,4194,11486,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,11339,11429,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,3486,10833,10863,10872,10875,3518,3943,3880,10496,4648,10444,10827,10830,11301,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4661,10735,4667,11197,11200,11391,4026,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,4666,10629,10741,4297,4205,3903,4662,10469,10472,10821,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204])).
% 192.29/192.29 cnf(11538,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x115381),x115382),f191(f917(x115381,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11541,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x115411),x115412),f191(f917(x115411,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11544,plain,
% 192.29/192.29 (P1(f329(f329(f331(x115441),f329(x115442,x115443)),f329(f312(x115444,x115441,x115442),f247(f917(x115444,a904)))))),
% 192.29/192.29 inference(rename_variables,[],[4026])).
% 192.29/192.29 cnf(11547,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(x115471,x115471)),f329(f329(f257(x115471,x115471),x115472),x115473)),f156(x115471,f118(f917(x115471,a909)))))),
% 192.29/192.29 inference(rename_variables,[],[4667])).
% 192.29/192.29 cnf(11555,plain,
% 192.29/192.29 (E(f119(x115551,f118(x115551)),f118(x115551))),
% 192.29/192.29 inference(rename_variables,[],[3268])).
% 192.29/192.29 cnf(11558,plain,
% 192.29/192.29 (~E(f329(a117,x115581),x115581)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11565,plain,
% 192.29/192.29 (~E(f329(a117,x115651),x115651)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11570,plain,
% 192.29/192.29 (E(f329(f287(x115701,x115701),f268(x115701,x115702)),x115702)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(11573,plain,
% 192.29/192.29 (E(f329(f287(x115731,x115731),f268(x115731,x115732)),x115732)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(11579,plain,
% 192.29/192.29 (~E(f329(a117,x115791),x115791)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11584,plain,
% 192.29/192.29 (~E(f329(f329(f82(a1),x115841),x115841),a102)),
% 192.29/192.29 inference(rename_variables,[],[4600])).
% 192.29/192.29 cnf(11591,plain,
% 192.29/192.29 (E(f329(f329(f23(a909),f2(a909)),x115911),f2(a909))),
% 192.29/192.29 inference(rename_variables,[],[3340])).
% 192.29/192.29 cnf(11594,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x115941),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(11601,plain,
% 192.29/192.29 (E(f329(f329(f82(a1),f329(f329(f83(a1),x116011),f329(f329(f37(a1),x116012),x116011))),f46(a1,x116012,x116011)),x116012)),
% 192.29/192.29 inference(rename_variables,[],[3975])).
% 192.29/192.29 cnf(11625,plain,
% 192.29/192.29 (~E(f329(a117,x116251),x116251)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11628,plain,
% 192.29/192.29 (~E(f329(a117,x116281),x116281)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11650,plain,
% 192.29/192.29 (~E(f329(a117,x116501),x116501)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11653,plain,
% 192.29/192.29 (~E(f329(f329(f154(x116531),x116532),x116533),x116533)),
% 192.29/192.29 inference(rename_variables,[],[4602])).
% 192.29/192.29 cnf(11660,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x116601),f118(x116601)),x116602))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(11666,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),f2(a909)),f329(a117,x116661)))),
% 192.29/192.29 inference(rename_variables,[],[3505])).
% 192.29/192.29 cnf(11667,plain,
% 192.29/192.29 (~E(f329(a117,x116671),x116671)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11670,plain,
% 192.29/192.29 (P1(f329(f329(f331(x116701),x116702),f247(f917(x116701,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(11682,plain,
% 192.29/192.29 (~E(f329(a117,x116821),x116821)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11685,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x116851),x116851))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(11692,plain,
% 192.29/192.29 (P1(f329(f67(x116921,x116922,x116923,x116924,f191(f917(x116921,a904))),x116924))),
% 192.29/192.29 inference(rename_variables,[],[4336])).
% 192.29/192.29 cnf(11693,plain,
% 192.29/192.29 (E(f329(f287(x116931,x116931),f268(x116931,x116932)),x116932)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(11706,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x117061),x117062)),x117062))),
% 192.29/192.29 inference(rename_variables,[],[4662])).
% 192.29/192.29 cnf(11709,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x117091)),f2(a1)))),
% 192.29/192.29 inference(rename_variables,[],[4655])).
% 192.29/192.29 cnf(11725,plain,
% 192.29/192.29 (~E(f329(f329(f106(a909),f329(a117,x117251)),x117251),f329(a117,x117251))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,4592,10610,10709,11162,3344,4589,3032,3035,3040,3041,3053,3064,3065,3066,3069,3071,3078,3084,3086,3090,3091,3110,3114,3119,3187,3195,3204,3315,3216,4575,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,3361,3882,3258,3975,11601,3323,3254,3282,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,4670,11352,4671,11421,4672,3339,3620,3787,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,3875,3408,3505,4642,10424,10427,10453,10946,10959,11073,11508,11594,4655,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,4638,10464,10493,10983,11024,3578,10714,10802,11068,11115,11336,11339,11429,11505,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,3486,10833,10863,10872,10875,3518,3943,3880,10496,4648,10444,10827,10830,11301,11317,3446,10866,11018,4242,4645,3951,4630,4632,3400,3402,4631,4634,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,4666,10629,10741,4297,4205,3903,4662,10469,10472,10821,10824,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475])).
% 192.29/192.29 cnf(11732,plain,
% 192.29/192.29 (E(f329(f287(x117321,x117321),f268(x117321,x117322)),x117322)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(11737,plain,
% 192.29/192.29 (E(f329(f287(x117371,x117371),f268(x117371,x117372)),x117372)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(11740,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x117401)),f2(a1)))),
% 192.29/192.29 inference(rename_variables,[],[4655])).
% 192.29/192.29 cnf(11745,plain,
% 192.29/192.29 (~E(f329(a117,x117451),x117451)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11754,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x117541),f118(x117541)),x117542))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(11775,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x117751)),f2(a1)))),
% 192.29/192.29 inference(rename_variables,[],[4655])).
% 192.29/192.29 cnf(11778,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x117781),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(11779,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x117791),f329(a117,x117791)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(11782,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x117821)),f2(a1)))),
% 192.29/192.29 inference(rename_variables,[],[4655])).
% 192.29/192.29 cnf(11785,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x117851),x117852),f191(f917(x117851,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11786,plain,
% 192.29/192.29 (P1(f329(f329(f331(f917(x117861,a904)),x117862),f329(f310(x117861),x117862)))),
% 192.29/192.29 inference(rename_variables,[],[3788])).
% 192.29/192.29 cnf(11799,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x117991),x117991))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(11802,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x118021)),x118021))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(11803,plain,
% 192.29/192.29 (~E(f329(a117,x118031),x118031)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11813,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x118131),x118132)),x118131))),
% 192.29/192.29 inference(rename_variables,[],[4663])).
% 192.29/192.29 cnf(11816,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x118161)),f2(a1)))),
% 192.29/192.29 inference(rename_variables,[],[4655])).
% 192.29/192.29 cnf(11819,plain,
% 192.29/192.29 (~E(f329(a117,x118191),x118191)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(11832,plain,
% 192.29/192.29 (P1(f329(f329(f331(x118321),x118322),f329(f329(f311(x118321),x118322),x118323)))),
% 192.29/192.29 inference(rename_variables,[],[3736])).
% 192.29/192.29 cnf(11833,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a1),f2(a1)),f329(f81(a1),f329(f105(a1),f329(a117,x118331)))))),
% 192.29/192.29 inference(rename_variables,[],[4664])).
% 192.29/192.29 cnf(11836,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),f329(f329(f23(a909),x118361),x118362)),f329(a117,x118361)))),
% 192.29/192.29 inference(rename_variables,[],[3875])).
% 192.29/192.29 cnf(11839,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f46(a909,x118391,x118392)),x118391))),
% 192.29/192.29 inference(rename_variables,[],[3880])).
% 192.29/192.29 cnf(11845,plain,
% 192.29/192.29 (E(f329(f287(x118451,x118451),f268(x118451,x118452)),x118452)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(11850,plain,
% 192.29/192.29 (E(f329(f329(f137(x118501),f172(x118501,x118502,x118503)),f172(x118501,x118504,x118503)),f329(f329(f137(x118501),f172(x118501,x118504,x118503)),f172(x118501,x118502,x118503)))),
% 192.29/192.29 inference(rename_variables,[],[3989])).
% 192.29/192.29 cnf(11855,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x118551)),x118551))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(11864,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x118641),x118641))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(11867,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f46(a909,x118671,x118672)),x118671))),
% 192.29/192.29 inference(rename_variables,[],[3880])).
% 192.29/192.29 cnf(11868,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x118681))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(11870,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a1),f80(a1)),f2(a1)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,4592,10610,10709,11162,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3110,3114,3119,3182,3187,3195,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,3361,3882,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,3875,3408,3505,4642,10424,10427,10453,10946,10959,11073,11508,11594,4655,11709,11740,11775,11782,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,11060,4638,10464,10493,10983,11024,11033,3578,10714,10802,11068,11115,11336,11339,11429,11505,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,4648,10444,10827,10830,11301,11317,11802,3446,10866,11018,11091,4242,4645,3951,4630,4632,3400,3402,4631,4634,3736,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,4666,10629,10741,4297,4205,3903,4662,10469,10472,10821,10824,4663,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916])).
% 192.29/192.29 cnf(11885,plain,
% 192.29/192.29 (E(f329(f287(x118851,x118851),f268(x118851,x118852)),x118852)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(11888,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x118881),x118881))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(11891,plain,
% 192.29/192.29 (P1(f329(f329(f331(x118911),f329(x118912,x118913)),f329(f312(x118914,x118911,x118912),f247(f917(x118914,a904)))))),
% 192.29/192.29 inference(rename_variables,[],[4026])).
% 192.29/192.29 cnf(11892,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x118921),x118922)),x118922))),
% 192.29/192.29 inference(rename_variables,[],[4662])).
% 192.29/192.29 cnf(11895,plain,
% 192.29/192.29 (P1(f329(f329(f331(x118951),f329(x118952,x118953)),f329(f312(x118954,x118951,x118952),f247(f917(x118954,a904)))))),
% 192.29/192.29 inference(rename_variables,[],[4026])).
% 192.29/192.29 cnf(11896,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x118961)),x118961))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(11901,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x119011),x119012)),x119011))),
% 192.29/192.29 inference(rename_variables,[],[4663])).
% 192.29/192.29 cnf(11904,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x119041),f118(x119041)),x119042))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(11907,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x119071),x119071))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(11913,plain,
% 192.29/192.29 (~P42(x119131,x119132,f118(x119131))),
% 192.29/192.29 inference(rename_variables,[],[4613])).
% 192.29/192.29 cnf(11916,plain,
% 192.29/192.29 (P1(f329(f329(f331(x119161),x119162),f329(f329(f311(x119161),x119162),x119163)))),
% 192.29/192.29 inference(rename_variables,[],[3736])).
% 192.29/192.29 cnf(11929,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x119291),x119292),f191(f917(x119291,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11932,plain,
% 192.29/192.29 (E(f329(f329(f16(x119321,x119322),x119323),x119324),x119323)),
% 192.29/192.29 inference(rename_variables,[],[3415])).
% 192.29/192.29 cnf(11935,plain,
% 192.29/192.29 (E(f329(f329(f16(x119351,x119352),x119353),x119354),x119353)),
% 192.29/192.29 inference(rename_variables,[],[3415])).
% 192.29/192.29 cnf(11947,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),f2(a909)),f329(a117,x119471)))),
% 192.29/192.29 inference(rename_variables,[],[3505])).
% 192.29/192.29 cnf(11950,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x119501),x119501))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(11953,plain,
% 192.29/192.29 (P1(f329(f62(x119531),f329(f175(x119531),x119532)))),
% 192.29/192.29 inference(rename_variables,[],[3465])).
% 192.29/192.29 cnf(11956,plain,
% 192.29/192.29 (P1(f329(f62(x119561),f329(f175(x119561),x119562)))),
% 192.29/192.29 inference(rename_variables,[],[3465])).
% 192.29/192.29 cnf(11959,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x119591))),f329(f105(a1),x119592)))),
% 192.29/192.29 inference(rename_variables,[],[3904])).
% 192.29/192.29 cnf(11962,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x119621),x119622),f191(f917(x119621,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(11972,plain,
% 192.29/192.29 (~P1(f329(f329(f331(a909),f2(a909)),f329(f306(a909),x119721)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4612,4613,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,4592,10610,10709,11162,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3094,3110,3114,3119,3182,3187,3195,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,3361,3882,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,3875,11836,3408,3505,11666,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,4655,11709,11740,11775,11782,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,11060,3501,4638,10464,10493,10983,11024,11033,11864,3578,10714,10802,11068,11115,11336,11339,11429,11505,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,4648,10444,10827,10830,11301,11317,11802,11855,3446,10866,11018,11091,3904,4242,4645,3951,4630,4632,3400,3402,4631,4634,3736,11832,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264])).
% 192.29/192.29 cnf(11974,plain,
% 192.29/192.29 (~P1(f329(f329(f331(a909),x119741),f329(f285(a909),f2(a909))))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4612,4613,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,4592,10610,10709,11162,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3094,3110,3114,3119,3182,3187,3195,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,3361,3882,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,3875,11836,3408,3505,11666,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,4655,11709,11740,11775,11782,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,11060,3501,4638,10464,10493,10983,11024,11033,11864,3578,10714,10802,11068,11115,11336,11339,11429,11505,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,4648,10444,10827,10830,11301,11317,11802,11855,3446,10866,11018,11091,3904,4242,4645,3951,4630,4632,3400,3402,4631,4634,3736,11832,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265])).
% 192.29/192.29 cnf(11981,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x119811),x119811))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(11984,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x119841),x119841))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(11993,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x119931),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(11996,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x119961),x119961))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12001,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x120011),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12010,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x120101))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(12011,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x120111)),x120111))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(12014,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x120141),f118(x120141)),x120142))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(12017,plain,
% 192.29/192.29 (~P1(f329(f329(f175(x120171),f118(x120171)),x120172))),
% 192.29/192.29 inference(rename_variables,[],[4647])).
% 192.29/192.29 cnf(12033,plain,
% 192.29/192.29 (P1(f329(f329(f240(a1),f329(f81(a1),f80(a1))),f2(a1)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4612,4613,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,4592,10610,10709,11162,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3094,3106,3110,3111,3114,3119,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,3361,3882,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,3875,11836,3408,3505,11666,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,11060,11799,11984,3501,4638,10464,10493,10983,11024,11033,11864,3578,10714,10802,11068,11115,11336,11339,11429,11505,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,3446,10866,11018,11091,11868,3904,4242,4645,3951,4630,4632,3400,3402,4631,4634,3736,11832,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570])).
% 192.29/192.29 cnf(12038,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x120381),x120381))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12041,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x120411),x120411))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12044,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x120441),x120441))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12047,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x120471),x120471))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12050,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x120501)),x120501))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(12053,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x120531)),x120531))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(12056,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x120561)),x120561))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(12059,plain,
% 192.29/192.29 (~P1(f329(f329(f239(a909),f329(a117,x120591)),x120591))),
% 192.29/192.29 inference(rename_variables,[],[4648])).
% 192.29/192.29 cnf(12075,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),f329(f329(f23(a909),x120751),f329(a117,x120751))),f2(a909)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4612,4613,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,4592,10610,10709,11162,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3094,3106,3110,3111,3114,3119,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,3361,3882,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,3875,11836,3408,3505,11666,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,4163,4068,11012,4117,3788,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,3426,10918,10965,10968,10999,11021,11057,11098,3427,10623,10851,10941,11060,11799,11984,3501,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,3578,10714,10802,11068,11115,11336,11339,11429,11505,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,3446,10866,11018,11091,11868,3904,4242,4645,3951,4630,4632,3400,3402,4631,4634,3736,11832,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,54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% 192.29/192.29 cnf(12076,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x120761),x120761))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(12082,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x120821),x120821))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12093,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x120931),x120931))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12096,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(f916(f910(x120961),f910(x120961)),a904)),f161(x120961,x120962)),f309(f910(x120961),f160(x120961,x120962))))),
% 192.29/192.29 inference(rename_variables,[],[4122])).
% 192.29/192.29 cnf(12103,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x121031),f329(a117,x121031)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12106,plain,
% 192.29/192.29 (P1(f329(f329(f331(f917(x121061,a904)),x121062),f329(f310(x121061),x121062)))),
% 192.29/192.29 inference(rename_variables,[],[3788])).
% 192.29/192.29 cnf(12107,plain,
% 192.29/192.29 (~E(f329(a117,x121071),x121071)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12114,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x121141),x121141))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12119,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x121191),x121191))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12128,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x121281,a904)),x121282),f329(f329(f311(x121281),x121283),x121282)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(12131,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x121311),x121311))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(12132,plain,
% 192.29/192.29 (~E(f329(a117,x121321),x121321)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12135,plain,
% 192.29/192.29 (P1(f329(f329(f331(x121351),x121352),f247(f917(x121351,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(12146,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x121461),x121461))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12147,plain,
% 192.29/192.29 (~E(f329(a117,x121471),x121471)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12150,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x121501),x121501))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12153,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x121531),x121531))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12156,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x121561),x121561))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12159,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x121591),x121591))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12161,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),f329(a109,f2(a1))),f329(a117,x121611)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4612,4613,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,4592,10610,10709,11162,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3094,3106,3110,3111,3114,3119,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,3361,3882,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,3875,11836,3408,3505,11666,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,4163,4122,4068,11012,4117,3788,11786,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,3501,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,3446,10866,11018,11091,11868,3904,4242,4645,3951,4630,4632,3400,3402,4631,4634,3736,11832,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,11153,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346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% 192.29/192.29 cnf(12162,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x121621),x121621))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12165,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x121651),x121651))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12168,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x121681),x121681))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12169,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x121691),f329(a117,x121691)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12176,plain,
% 192.29/192.29 (~E(f329(a117,x121761),x121761)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12181,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x121811),x121811))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12182,plain,
% 192.29/192.29 (~E(f329(a117,x121821),x121821)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12187,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x121871),x121871))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12202,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x122021),x122021))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12207,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x122071))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(12221,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x122211),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12224,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x122241),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12227,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x122271),x122272),f191(f917(x122271,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12230,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x122301),x122302),f191(f917(x122301,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12233,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x122331),x122331))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12235,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x122351),f329(f329(f106(a909),x122351),x122352)))),
% 192.29/192.29 inference(scs_inference,[],[4665,3662,4612,4613,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,4592,10610,10709,11162,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3094,3106,3110,3111,3114,3119,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,3361,3370,3882,4187,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,3875,11836,3408,3505,11666,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,4163,4122,4068,11012,4117,3788,11786,4151,3806,11214,11284,11375,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,3501,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,3904,4242,4645,3915,3951,4630,4632,3400,3402,4631,4634,3736,11832,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,11153,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138])).
% 192.29/192.29 cnf(12236,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x122361),x122361))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12239,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x122391),x122391))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12242,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x122421),x122421))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12245,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x122451),f329(a117,x122451)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12252,plain,
% 192.29/192.29 (P1(f329(f329(f331(f917(x122521,a904)),x122522),f329(f310(x122521),x122522)))),
% 192.29/192.29 inference(rename_variables,[],[3788])).
% 192.29/192.29 cnf(12257,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x122571,a904)),x122572),f329(f329(f311(x122571),x122573),x122572)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(12264,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x122641),x122642),f191(f917(x122641,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12273,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x122731,a904)),x122732),f247(f917(x122731,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(12274,plain,
% 192.29/192.29 (~E(f329(a117,x122741),x122741)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12277,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x122771,a904)),f329(f175(x122771),f329(f139(x122771,x122772),x122773))),f329(f175(x122771),x122773)))),
% 192.29/192.29 inference(rename_variables,[],[4068])).
% 192.29/192.29 cnf(12283,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x122831),f329(a117,x122831)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12292,plain,
% 192.29/192.29 (P49(a25,x122921,x122922,x122921)),
% 192.29/192.29 inference(rename_variables,[],[3638])).
% 192.29/192.29 cnf(12295,plain,
% 192.29/192.29 (E(f329(f287(x122951,x122951),f268(x122951,x122952)),x122952)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12306,plain,
% 192.29/192.29 (P1(f329(f62(x123061),f191(f917(x123061,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(12307,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x123071),x123072),f191(f917(x123071,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12310,plain,
% 192.29/192.29 (P49(a25,x123101,x123102,x123101)),
% 192.29/192.29 inference(rename_variables,[],[3638])).
% 192.29/192.29 cnf(12316,plain,
% 192.29/192.29 (~P49(f29(f329(f331(f916(f910(x123161),f910(x123161))),f329(f329(f257(f910(x123161),f910(x123161)),x123162),f118(x123161))),x123163,f32(x123164,f32(x123165,f32(f32(f329(a26,x123166),x123167),x123168)))),f150(x123161,x123169),f2(a909),x1231610)),
% 192.29/192.29 inference(scs_inference,[],[4665,3638,12292,3662,4612,4613,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,4592,10610,10709,11162,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3090,3091,3093,3094,3106,3110,3111,3114,3119,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,3361,3370,3882,4187,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3482,11015,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,4163,4122,4068,11012,4117,3788,11786,12106,4151,3806,11214,11284,11375,11440,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,3501,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,3904,4242,4645,3915,3951,4630,4632,3400,3402,4631,4634,3736,11832,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,11153,12128,3720,11267,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525])).
% 192.29/192.29 cnf(12319,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x123191,a904)),f329(f175(x123191),f179(x123191,x123192,x123193))),f329(f175(x123191),x123192)))),
% 192.29/192.29 inference(rename_variables,[],[4117])).
% 192.29/192.29 cnf(12322,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x123221),x123221))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(12325,plain,
% 192.29/192.29 (P31(x123251,x123251,f5(x123251),x123252)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12330,plain,
% 192.29/192.29 (P1(f329(f329(f331(f917(x123301,a904)),x123302),f329(f310(x123301),x123302)))),
% 192.29/192.29 inference(rename_variables,[],[3788])).
% 192.29/192.29 cnf(12335,plain,
% 192.29/192.29 (P1(f329(f329(f331(x123351),x123352),f329(f329(f311(x123351),x123352),x123353)))),
% 192.29/192.29 inference(rename_variables,[],[3736])).
% 192.29/192.29 cnf(12340,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x123401),x123401))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(12343,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x123431),x123432),f191(f917(x123431,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12346,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x123461,a904)),x123462),f329(f329(f311(x123461),x123463),x123462)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(12347,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x123471,a904)),x123472),f247(f917(x123471,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(12354,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x123541),f329(a117,x123541)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12357,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x123571),f329(a117,x123571)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12360,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x123601),x123601))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12363,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x123631),x123631))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12366,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x123661),x123661))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12369,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x123691),x123691))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12372,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x123721,a904)),x123722),x123722))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(12379,plain,
% 192.29/192.29 (P1(f329(f329(f331(f917(x123791,a904)),x123792),f329(f310(x123791),x123792)))),
% 192.29/192.29 inference(rename_variables,[],[3788])).
% 192.29/192.29 cnf(12388,plain,
% 192.29/192.29 (~E(f329(a117,x123881),x123881)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12389,plain,
% 192.29/192.29 (E(f329(f312(x123891,x123891,f5(x123891)),x123892),x123892)),
% 192.29/192.29 inference(rename_variables,[],[3482])).
% 192.29/192.29 cnf(12392,plain,
% 192.29/192.29 (P39(x123921,x123922,f118(x123921),f118(x123921))),
% 192.29/192.29 inference(rename_variables,[],[3670])).
% 192.29/192.29 cnf(12395,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x123951,a904)),f329(f175(x123951),f179(x123951,x123952,x123953))),f329(f175(x123951),x123952)))),
% 192.29/192.29 inference(rename_variables,[],[4117])).
% 192.29/192.29 cnf(12396,plain,
% 192.29/192.29 (P1(f329(f62(x123961),f329(f175(x123961),x123962)))),
% 192.29/192.29 inference(rename_variables,[],[3465])).
% 192.29/192.29 cnf(12407,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x124071),x124071))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12410,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x124101),x124101))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12419,plain,
% 192.29/192.29 (P19(a909,f329(f171(a909),f329(f329(f157(f910(x124191),a909),f192(f910(x124191))),f182(x124191,x124192))))),
% 192.29/192.29 inference(rename_variables,[],[3985])).
% 192.29/192.29 cnf(12422,plain,
% 192.29/192.29 (P31(x124221,x124221,f5(x124221),x124222)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12425,plain,
% 192.29/192.29 (P31(x124251,x124251,f5(x124251),x124252)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12428,plain,
% 192.29/192.29 (P1(f329(f329(f331(f910(x124281)),f118(x124281)),f164(x124281,x124282)))),
% 192.29/192.29 inference(rename_variables,[],[3620])).
% 192.29/192.29 cnf(12431,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x124311,f917(x124312,a904))),x124313),x124314))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(12436,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x124361),x124361))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12437,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x124371))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(12439,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),f2(a1)),f408(x124391,f191(f917(x124392,f917(x124393,a904))),f80(a1))))),
% 192.29/192.29 inference(scs_inference,[],[4665,3638,12292,3662,11274,12325,12422,3670,4612,4613,4611,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,4592,10610,10709,11162,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3106,3110,3111,3114,3119,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,3361,3370,3882,4187,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3301,3482,11015,11140,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,3787,4472,4473,4600,3724,3939,3985,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,11956,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,4163,4122,4068,11012,4117,11211,12319,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,3501,12306,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,3904,4242,4645,3915,3951,4630,4632,3400,3402,4631,4634,3736,11832,11916,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,11153,12128,12257,3720,11267,11394,3872,10869,11230,11400,11434,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,11378,12431,4297,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088])).
% 192.29/192.29 cnf(12440,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x124401,f917(x124402,a904))),x124403),x124404))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(12443,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(f916(f910(x124431),f910(x124431)),a904)),f161(x124431,x124432)),f309(f910(x124431),f160(x124431,x124432))))),
% 192.29/192.29 inference(rename_variables,[],[4122])).
% 192.29/192.29 cnf(12449,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124491,a904)),f329(f312(x124492,x124491,x124493),f329(f313(x124492,x124491,x124493),x124494))),x124494))),
% 192.29/192.29 inference(rename_variables,[],[4297])).
% 192.29/192.29 cnf(12452,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124521,a904)),f191(f917(x124521,a904))),x124522))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(12455,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124551,a904)),f329(f312(x124552,x124551,x124553),f329(f313(x124552,x124551,x124553),x124554))),x124554))),
% 192.29/192.29 inference(rename_variables,[],[4297])).
% 192.29/192.29 cnf(12458,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124581,a904)),f329(f175(x124581),f179(x124581,x124582,x124583))),f329(f175(x124581),x124582)))),
% 192.29/192.29 inference(rename_variables,[],[4117])).
% 192.29/192.29 cnf(12459,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124591,a904)),f329(f175(x124591),f329(f139(x124591,x124592),x124593))),f329(f175(x124591),x124593)))),
% 192.29/192.29 inference(rename_variables,[],[4068])).
% 192.29/192.29 cnf(12462,plain,
% 192.29/192.29 (P1(f329(f329(f197(a25),x124621),x124621))),
% 192.29/192.29 inference(rename_variables,[],[3425])).
% 192.29/192.29 cnf(12470,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124701,a904)),f329(f312(x124702,x124701,x124703),f329(f313(x124702,x124701,x124703),x124704))),x124704))),
% 192.29/192.29 inference(rename_variables,[],[4297])).
% 192.29/192.29 cnf(12475,plain,
% 192.29/192.29 (P1(f329(f329(f331(f910(x124751)),f118(x124751)),f164(x124751,x124752)))),
% 192.29/192.29 inference(rename_variables,[],[3620])).
% 192.29/192.29 cnf(12478,plain,
% 192.29/192.29 (~P1(f329(f329(f331(f916(f910(x124781),f910(x124781))),f329(f329(f257(f910(x124781),f910(x124781)),x124782),f118(x124781))),f148(x124781,x124783)))),
% 192.29/192.29 inference(rename_variables,[],[4668])).
% 192.29/192.29 cnf(12481,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x124811),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12483,plain,
% 192.29/192.29 (~P1(f329(f62(x124831),f247(f917(x124831,a904))))),
% 192.29/192.29 inference(scs_inference,[],[4665,3638,12292,3662,11274,12325,12422,3670,3679,3394,4612,4613,3291,3294,4611,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,4592,10610,10709,11162,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3106,3110,3111,3114,3119,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,3361,3370,3882,4187,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3301,3482,11015,11140,3354,4057,4602,10447,10607,11472,3415,11932,4649,11188,11279,11516,11519,3529,3318,10517,10836,3319,3582,3235,3340,11591,4201,4059,11208,11333,11403,4668,11118,11346,11466,11489,11524,11530,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,12428,12475,3787,4472,4473,4600,3724,3939,3985,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3613,4656,4194,11486,3746,3465,11953,11956,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,4163,4122,12096,12443,4068,11012,12277,4117,11211,12319,12395,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,3501,12306,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,3486,10833,10863,10872,10875,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,3904,4242,4645,3915,3951,4630,4632,3400,3402,4631,4634,3736,11832,11916,4336,4661,10735,10738,4667,11197,11200,11391,11513,4026,11544,11891,3870,11131,11137,11153,12128,12257,3720,11267,11394,12372,3872,10869,11230,11400,11434,11445,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,11378,12431,4297,11005,12449,12455,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309])).
% 192.29/192.29 cnf(12484,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124841,a904)),x124842),x124842))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(12487,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x124871),x124872),f191(f917(x124871,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12490,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x124901,f917(x124902,a904))),x124903),x124904))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(12493,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124931,a904)),f329(f312(x124932,x124931,x124933),f329(f313(x124932,x124931,x124933),x124934))),x124934))),
% 192.29/192.29 inference(rename_variables,[],[4297])).
% 192.29/192.29 cnf(12494,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x124941,a904)),x124942),x124942))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(12499,plain,
% 192.29/192.29 (E(f329(f287(x124991,x124991),f268(x124991,x124992)),x124992)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12502,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x125021,a904)),f329(f175(x125021),f179(x125021,x125022,x125023))),f329(f175(x125021),x125022)))),
% 192.29/192.29 inference(rename_variables,[],[4117])).
% 192.29/192.29 cnf(12503,plain,
% 192.29/192.29 (P1(f329(f62(x125031),f329(f175(x125031),x125032)))),
% 192.29/192.29 inference(rename_variables,[],[3465])).
% 192.29/192.29 cnf(12509,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x125091),x125091))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12512,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x125121),x125121))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12523,plain,
% 192.29/192.29 (P31(x125231,x125231,f5(x125231),x125232)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12528,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x125281),x125282),f191(f917(x125281,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12531,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x125311,x125311)),f329(f329(f257(x125311,x125311),x125312),x125312)),f309(x125311,x125313)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(12534,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x125341),x125342),f191(f917(x125341,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12537,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x125371,x125371)),f329(f329(f257(x125371,x125371),x125372),x125372)),f309(x125371,x125373)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(12547,plain,
% 192.29/192.29 (~E(f329(f329(f154(x125471),x125472),x125473),x125473)),
% 192.29/192.29 inference(rename_variables,[],[4602])).
% 192.29/192.29 cnf(12550,plain,
% 192.29/192.29 (P1(f329(f329(f331(x125501),x125502),f247(f917(x125501,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(12551,plain,
% 192.29/192.29 (~E(f329(a117,x125511),x125511)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12554,plain,
% 192.29/192.29 (P1(f329(f329(f331(f910(x125541)),f118(x125541)),f164(x125541,x125542)))),
% 192.29/192.29 inference(rename_variables,[],[3620])).
% 192.29/192.29 cnf(12555,plain,
% 192.29/192.29 (~E(f329(f329(f154(x125551),x125552),x125553),f118(x125551))),
% 192.29/192.29 inference(rename_variables,[],[4609])).
% 192.29/192.29 cnf(12558,plain,
% 192.29/192.29 (P31(x125581,x125581,f5(x125581),x125582)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12561,plain,
% 192.29/192.29 (P1(f329(f329(f331(x125611),f329(x125612,x125613)),f329(f312(x125614,x125611,x125612),f247(f917(x125614,a904)))))),
% 192.29/192.29 inference(rename_variables,[],[4026])).
% 192.29/192.29 cnf(12562,plain,
% 192.29/192.29 (P31(x125621,x125621,f5(x125621),x125622)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12565,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x125651,a904)),f191(f917(x125651,a904))),x125652))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(12566,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x125661,a904)),x125662),x125662))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(12569,plain,
% 192.29/192.29 (P1(f329(f329(f331(x125691),f329(x125692,x125693)),f329(f312(x125694,x125691,x125692),f247(f917(x125694,a904)))))),
% 192.29/192.29 inference(rename_variables,[],[4026])).
% 192.29/192.29 cnf(12570,plain,
% 192.29/192.29 (P31(x125701,x125701,f5(x125701),x125702)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12573,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(f910(x125731),f910(x125731))),f329(f329(f257(f910(x125731),f910(x125731)),f118(x125731)),f118(x125731))),f161(x125731,x125732)))),
% 192.29/192.29 inference(rename_variables,[],[4201])).
% 192.29/192.29 cnf(12577,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x125771),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12583,plain,
% 192.29/192.29 (P31(x125831,x125831,f5(x125831),x125832)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12586,plain,
% 192.29/192.29 (E(f329(f329(f137(x125861),x125862),f118(x125861)),x125862)),
% 192.29/192.29 inference(rename_variables,[],[3355])).
% 192.29/192.29 cnf(12587,plain,
% 192.29/192.29 (~E(f329(f329(f154(x125871),x125872),x125873),x125873)),
% 192.29/192.29 inference(rename_variables,[],[4602])).
% 192.29/192.29 cnf(12590,plain,
% 192.29/192.29 (E(f329(f329(f137(x125901),x125902),f118(x125901)),x125902)),
% 192.29/192.29 inference(rename_variables,[],[3355])).
% 192.29/192.29 cnf(12591,plain,
% 192.29/192.29 (~E(f329(f329(f154(x125911),x125912),x125913),x125913)),
% 192.29/192.29 inference(rename_variables,[],[4602])).
% 192.29/192.29 cnf(12594,plain,
% 192.29/192.29 (E(f329(f329(f137(x125941),x125942),f118(x125941)),x125942)),
% 192.29/192.29 inference(rename_variables,[],[3355])).
% 192.29/192.29 cnf(12601,plain,
% 192.29/192.29 (P60(x126011,f268(x126011,x126012))),
% 192.29/192.29 inference(rename_variables,[],[3295])).
% 192.29/192.29 cnf(12604,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126041,a904)),f329(f175(x126041),f329(f139(x126041,x126042),x126043))),f329(f175(x126041),x126043)))),
% 192.29/192.29 inference(rename_variables,[],[4068])).
% 192.29/192.29 cnf(12605,plain,
% 192.29/192.29 (E(f329(f312(x126051,x126051,f5(x126051)),x126052),x126052)),
% 192.29/192.29 inference(rename_variables,[],[3482])).
% 192.29/192.29 cnf(12610,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126101,a904)),x126102),f247(f917(x126101,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(12614,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x126141),x126141))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12615,plain,
% 192.29/192.29 (~E(f329(a117,x126151),x126151)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12618,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126181,a904)),f191(f917(x126181,a904))),x126182))),
% 192.29/192.29 inference(rename_variables,[],[3872])).
% 192.29/192.29 cnf(12621,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x126211),x126211))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12624,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126241,a904)),x126242),x126242))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(12629,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126291,a904)),x126292),f329(f329(f311(x126291),x126293),x126292)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(12632,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126321,a904)),x126322),x126322))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(12633,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x126331),x126332),f191(f917(x126331,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12636,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x126361),x126362),f191(f917(x126361,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12645,plain,
% 192.29/192.29 (P31(x126451,x126451,f5(x126451),x126452)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12648,plain,
% 192.29/192.29 (E(f329(f192(f910(x126481)),f172(x126481,x126482,x126483)),x126482)),
% 192.29/192.29 inference(rename_variables,[],[3492])).
% 192.29/192.29 cnf(12651,plain,
% 192.29/192.29 (P32(x126511,x126511,f33(x126511),x126512,x126512)),
% 192.29/192.29 inference(rename_variables,[],[4083])).
% 192.29/192.29 cnf(12654,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x126541),x126541))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12655,plain,
% 192.29/192.29 (P1(f329(f247(f917(x126551,a904)),x126552))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(12658,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x126581),x126582),f191(f917(x126581,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12661,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126611,a904)),x126612),f329(f329(f311(x126611),x126613),x126612)))),
% 192.29/192.29 inference(rename_variables,[],[3870])).
% 192.29/192.29 cnf(12664,plain,
% 192.29/192.29 (P1(f329(f329(f331(x126641),f329(x126642,x126643)),f329(f312(x126644,x126641,x126642),f247(f917(x126644,a904)))))),
% 192.29/192.29 inference(rename_variables,[],[4026])).
% 192.29/192.29 cnf(12665,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x126651,x126651)),f329(f329(f257(x126651,x126651),x126652),x126652)),f309(x126651,x126653)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(12668,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x126681,x126681)),f329(f329(f257(x126681,x126681),x126682),x126682)),f309(x126681,x126683)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(12670,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f329(f192(f910(x126701)),x126702)),f329(f192(f910(x126701)),f180(x126701,f247(f917(x126703,a904)),x126702))))),
% 192.29/192.29 inference(scs_inference,[],[4665,4083,3638,12292,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,4592,10610,10709,11162,3481,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3106,3110,3111,3114,3119,3122,3182,3187,3195,3197,3204,3315,3216,4575,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,3355,12586,12590,3361,3370,3882,4187,3492,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,4609,12555,3415,11932,4649,11188,11279,11516,11519,3529,4627,3318,10517,10836,3319,3582,3235,3340,11591,4201,12573,4059,11208,11333,11403,12531,12537,12665,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,4600,11584,3724,3939,3985,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3814,3613,4656,4194,11486,3746,3465,11953,11956,12396,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,4117,11211,12319,12395,12458,12502,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,3501,12306,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,3486,10833,10863,10872,10875,11458,12655,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,3904,4242,4645,3915,3951,4630,4632,3400,3402,4631,4634,3736,11832,11916,4336,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,3870,11131,11137,11153,12128,12257,12346,12629,3720,11267,11394,12372,12484,12494,12566,12624,3872,10869,11230,11400,11434,11445,12452,12565,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,11378,12431,12440,4297,11005,12449,12455,12470,4205,3903,3849,4662,10469,10472,10821,10824,11706,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309,8321,8339,8345,8367,8412,8444,8456,8475,8478,8505,8530,8596,8597,8600,8601,8710,8711,8712,8713,8739,8768,8797,8841,8859,8901,8917,8961,8964,8977,8984,9028,9051,9072,9073,9090,9091,9104,9224,9230,9234,9254,9272,9297,9299,9302,9308,9311,9312,9322,9323,9343,9349,9358,9365,9406,9424,9444,9479,9480,9486])).
% 192.29/192.29 cnf(12671,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x126711),x126711))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12672,plain,
% 192.29/192.29 (P1(f329(f247(f917(x126721,a904)),x126722))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(12675,plain,
% 192.29/192.29 (P1(f329(f62(x126751),f329(f175(x126751),x126752)))),
% 192.29/192.29 inference(rename_variables,[],[3465])).
% 192.29/192.29 cnf(12685,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x126851,f917(x126852,a904))),x126853),x126854))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(12688,plain,
% 192.29/192.29 (~P1(f329(f329(f191(f917(x126881,f917(x126882,a904))),x126883),x126884))),
% 192.29/192.29 inference(rename_variables,[],[4666])).
% 192.29/192.29 cnf(12691,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x126911,a904)),x126912),f247(f917(x126911,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(12694,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(x126941,x126941)),f329(f329(f257(x126941,x126941),x126942),x126942)),f309(x126941,x126943)))),
% 192.29/192.29 inference(rename_variables,[],[4059])).
% 192.29/192.29 cnf(12697,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),f329(f329(f82(a909),x126971),x126972)),x126972))),
% 192.29/192.29 inference(rename_variables,[],[4662])).
% 192.29/192.29 cnf(12698,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x126981),f329(a117,x126981)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12701,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x127011,a904)),x127012),f247(f917(x127011,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3806])).
% 192.29/192.29 cnf(12704,plain,
% 192.29/192.29 (E(f329(f287(x127041,x127041),f268(x127041,x127042)),x127042)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12715,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x127151),x127152),f191(f917(x127151,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12716,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(f910(x127161),f910(x127161))),f329(f329(f257(f910(x127161),f910(x127161)),f118(x127161)),f118(x127161))),f161(x127161,x127162)))),
% 192.29/192.29 inference(rename_variables,[],[4201])).
% 192.29/192.29 cnf(12718,plain,
% 192.29/192.29 (P1(f329(f329(f331(f916(a909,a909)),f329(f329(f257(a909,a909),f2(a909)),f329(a117,f2(a909)))),f329(f329(f291(a909,a909,a909),f309(a909,a319)),f309(a909,f309(a909,a319)))))),
% 192.29/192.29 inference(scs_inference,[],[4665,4083,3638,12292,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,3670,3679,3394,4612,4613,3291,3294,3295,4611,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,4592,10610,10709,11162,3481,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3106,3110,3111,3114,3119,3122,3182,3187,3195,3197,3204,3315,3216,4575,3760,3989,11850,3268,11555,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,3355,12586,12590,12594,3361,3370,3882,4187,3492,3258,3622,3975,11601,3323,3254,3282,3278,3265,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,4609,12555,3415,11932,4649,11188,11279,11516,11519,3529,4627,3318,10517,10836,3319,3582,3235,3340,11591,4201,12573,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,4600,11584,3724,3939,3985,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,4655,11709,11740,11775,11782,11816,3863,3629,4008,3452,3454,3428,4639,4597,3814,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,4117,11211,12319,12395,12458,12502,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,3501,12306,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,3486,10833,10863,10872,10875,11458,12655,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,3904,4242,4645,3915,3951,4630,4632,3400,3402,4631,4634,3736,11832,11916,4336,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,3870,11131,11137,11153,12128,12257,12346,12629,3720,11267,11394,12372,12484,12494,12566,12624,4199,3872,10869,11230,11400,11434,11445,12452,12565,3688,10788,10791,10878,11047,4664,11833,4666,10629,10741,11378,12431,12440,12490,12685,4297,11005,12449,12455,12470,4205,3903,3849,4662,10469,10472,10821,10824,11706,11892,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309,8321,8339,8345,8367,8412,8444,8456,8475,8478,8505,8530,8596,8597,8600,8601,8710,8711,8712,8713,8739,8768,8797,8841,8859,8901,8917,8961,8964,8977,8984,9028,9051,9072,9073,9090,9091,9104,9224,9230,9234,9254,9272,9297,9299,9302,9308,9311,9312,9322,9323,9343,9349,9358,9365,9406,9424,9444,9479,9480,9486,9547,9553,9593,9603,9606,9607,9609,9610,9623,9646,9660,9669,9670,9672,9674,9703])).
% 192.29/192.29 cnf(12721,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x127211),x127212),f191(f917(x127211,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12726,plain,
% 192.29/192.29 (P38(x127261,x127262,f118(x127261))),
% 192.29/192.29 inference(rename_variables,[],[3360])).
% 192.29/192.29 cnf(12729,plain,
% 192.29/192.29 (E(f329(f192(f910(x127291)),f172(x127291,x127292,x127293)),x127292)),
% 192.29/192.29 inference(rename_variables,[],[3492])).
% 192.29/192.29 cnf(12732,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x127321),x127322),f191(f917(x127321,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12738,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x127381),x127381))),
% 192.29/192.29 inference(rename_variables,[],[4638])).
% 192.29/192.29 cnf(12741,plain,
% 192.29/192.29 (P1(f329(f329(f331(x127411),x127412),f247(f917(x127411,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(12749,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x127491,a904)),x127492),x127492))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(12752,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x127521),x127522),f191(f917(x127521,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(12755,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),f2(a1)),f329(f329(f249(a1),f329(f77(a1),x127551)),x127552)))),
% 192.29/192.29 inference(rename_variables,[],[3903])).
% 192.29/192.29 cnf(12758,plain,
% 192.29/192.29 (~E(f329(a117,x127581),x127581)),
% 192.29/192.29 inference(rename_variables,[],[4579])).
% 192.29/192.29 cnf(12760,plain,
% 192.29/192.29 (E(f329(f287(x127601,x127601),f268(x127601,x127602)),x127602)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12762,plain,
% 192.29/192.29 (E(f329(f287(x127621,x127621),f268(x127621,x127622)),x127622)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12764,plain,
% 192.29/192.29 (E(f329(f287(x127641,x127641),f268(x127641,x127642)),x127642)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12766,plain,
% 192.29/192.29 (P39(x127661,x127662,f118(x127661),f118(x127661))),
% 192.29/192.29 inference(rename_variables,[],[3670])).
% 192.29/192.29 cnf(12768,plain,
% 192.29/192.29 (P39(x127681,x127682,f118(x127681),f118(x127681))),
% 192.29/192.29 inference(rename_variables,[],[3670])).
% 192.29/192.29 cnf(12775,plain,
% 192.29/192.29 (P20(x127751,f917(x127751,a904),f311(x127751))),
% 192.29/192.29 inference(rename_variables,[],[3397])).
% 192.29/192.29 cnf(12779,plain,
% 192.29/192.29 (E(f329(f287(x127791,x127791),f268(x127791,x127792)),x127792)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12781,plain,
% 192.29/192.29 (E(f329(f287(x127811,x127811),f268(x127811,x127812)),x127812)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12786,plain,
% 192.29/192.29 (P30(x127861,x127862,f191(f917(f908(x127861),a904)))),
% 192.29/192.29 inference(rename_variables,[],[3480])).
% 192.29/192.29 cnf(12791,plain,
% 192.29/192.29 (P31(x127911,x127911,f5(x127911),x127912)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12793,plain,
% 192.29/192.29 (P31(x127931,x127931,f5(x127931),x127932)),
% 192.29/192.29 inference(rename_variables,[],[3662])).
% 192.29/192.29 cnf(12796,plain,
% 192.29/192.29 (E(f329(f329(x127961,x127962),f329(f187(x127963,x127964,x127961),x127962)),f329(f187(x127963,x127964,x127961),f329(a117,x127962)))),
% 192.29/192.29 inference(rename_variables,[],[3823])).
% 192.29/192.29 cnf(12801,plain,
% 192.29/192.29 (P44(x128011,f156(x128011,x128012))),
% 192.29/192.29 inference(rename_variables,[],[3291])).
% 192.29/192.29 cnf(12805,plain,
% 192.29/192.29 (E(f329(f287(x128051,x128051),f268(x128051,x128052)),x128052)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12807,plain,
% 192.29/192.29 (E(f329(f287(x128071,x128071),f268(x128071,x128072)),x128072)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12809,plain,
% 192.29/192.29 (E(f329(f287(x128091,x128091),f268(x128091,x128092)),x128092)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12811,plain,
% 192.29/192.29 (P49(a25,x128111,x128112,x128111)),
% 192.29/192.29 inference(rename_variables,[],[3638])).
% 192.29/192.29 cnf(12813,plain,
% 192.29/192.29 (P49(a25,x128131,x128132,x128131)),
% 192.29/192.29 inference(rename_variables,[],[3638])).
% 192.29/192.29 cnf(12819,plain,
% 192.29/192.29 (P45(x128191,f268(x128191,x128192))),
% 192.29/192.29 inference(rename_variables,[],[3292])).
% 192.29/192.29 cnf(12824,plain,
% 192.29/192.29 (E(f191(f917(f916(x128241,x128241),a904)),f268(x128241,f191(f917(x128241,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3496])).
% 192.29/192.29 cnf(12826,plain,
% 192.29/192.29 (P63(x128261,x128261,f268(x128261,x128262))),
% 192.29/192.29 inference(rename_variables,[],[3394])).
% 192.29/192.29 cnf(12842,plain,
% 192.29/192.29 (P61(x128421,x128422,f268(x128421,x128422))),
% 192.29/192.29 inference(rename_variables,[],[3393])).
% 192.29/192.29 cnf(12844,plain,
% 192.29/192.29 (P61(x128441,x128442,f268(x128441,x128442))),
% 192.29/192.29 inference(rename_variables,[],[3393])).
% 192.29/192.29 cnf(12846,plain,
% 192.29/192.29 (P61(x128461,x128462,f268(x128461,x128462))),
% 192.29/192.29 inference(rename_variables,[],[3393])).
% 192.29/192.29 cnf(12848,plain,
% 192.29/192.29 (P60(x128481,f268(x128481,x128482))),
% 192.29/192.29 inference(rename_variables,[],[3295])).
% 192.29/192.29 cnf(12853,plain,
% 192.29/192.29 (P34(x128531,f2(a909),f329(f329(f329(f93(x128531),x128532),f329(a26,x128533)),x128534))),
% 192.29/192.29 inference(rename_variables,[],[3799])).
% 192.29/192.29 cnf(12859,plain,
% 192.29/192.29 (P32(x128591,x128591,f33(x128591),x128592,x128592)),
% 192.29/192.29 inference(rename_variables,[],[4083])).
% 192.29/192.29 cnf(12861,plain,
% 192.29/192.29 (P32(x128611,x128611,f33(x128611),x128612,x128612)),
% 192.29/192.29 inference(rename_variables,[],[4083])).
% 192.29/192.29 cnf(12863,plain,
% 192.29/192.29 (P32(x128631,x128631,f33(x128631),x128632,x128632)),
% 192.29/192.29 inference(rename_variables,[],[4083])).
% 192.29/192.29 cnf(12867,plain,
% 192.29/192.29 (E(f329(f287(x128671,x128671),f268(x128671,x128672)),x128672)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12873,plain,
% 192.29/192.29 (P64(x128731,f191(f917(x128731,a904)),x128732)),
% 192.29/192.29 inference(rename_variables,[],[3444])).
% 192.29/192.29 cnf(12887,plain,
% 192.29/192.29 (P51(x128871,x128872,x128873,x128874,f191(f917(x128871,a904)),x128874)),
% 192.29/192.29 inference(rename_variables,[],[4358])).
% 192.29/192.29 cnf(12894,plain,
% 192.29/192.29 (E(f329(f287(x128941,x128941),f268(x128941,x128942)),x128942)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(12911,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x129111),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12914,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x129141),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12921,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x129211)),f329(f81(a1),f329(f105(a1),x129212))))),
% 192.29/192.29 inference(rename_variables,[],[4660])).
% 192.29/192.29 cnf(12931,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x129311),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12934,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x129341),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12937,plain,
% 192.29/192.29 (P1(f329(f62(a909),f307(a909,x129371,x129372)))),
% 192.29/192.29 inference(rename_variables,[],[3630])).
% 192.29/192.29 cnf(12940,plain,
% 192.29/192.29 (P1(f329(f62(a909),f307(a909,x129401,x129402)))),
% 192.29/192.29 inference(rename_variables,[],[3630])).
% 192.29/192.29 cnf(12943,plain,
% 192.29/192.29 (P1(f329(f62(a909),f307(a909,x129431,x129432)))),
% 192.29/192.29 inference(rename_variables,[],[3630])).
% 192.29/192.29 cnf(12946,plain,
% 192.29/192.29 (P1(f329(f62(a909),f307(a909,x129461,x129462)))),
% 192.29/192.29 inference(rename_variables,[],[3630])).
% 192.29/192.29 cnf(12953,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),f329(f81(a1),f329(f105(a1),x129531))),f329(f105(a1),x129532)))),
% 192.29/192.29 inference(rename_variables,[],[3904])).
% 192.29/192.29 cnf(12956,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x129561),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(12957,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x129571),x129571))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12964,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x129641),f329(a117,x129641)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12966,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f2(a1)),f329(f108(a1),f2(a1))))),
% 192.29/192.29 inference(scs_inference,[],[4665,4083,12651,12859,12861,12863,3638,12292,12310,12811,12813,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,12645,12791,3670,12392,12766,12768,3679,3393,12842,12844,12846,3394,12826,3360,12726,4612,4613,11913,4358,12887,3397,12775,3234,3291,12801,3292,12819,3293,3294,3295,12601,12848,4611,3722,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,12615,4592,10610,10709,11162,3481,3444,12873,3628,3344,4589,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3077,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3106,3110,3111,3114,3119,3122,3182,3187,3195,3196,3197,3204,3315,4574,3216,3290,4575,3760,3989,11850,3268,11555,3406,3381,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,12704,12760,12762,12764,12779,12781,12805,12807,12809,12867,3355,12586,12590,12594,3361,3370,3882,4187,3492,12648,12729,3258,3622,3975,11601,3480,12786,3323,3254,3282,3799,12853,3278,4092,3983,3804,4560,3265,3244,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,12591,4609,12555,3415,11932,4016,4649,11188,11279,11516,11519,3823,12796,3529,3747,4627,3496,12824,3318,10517,10836,3319,3582,3311,3235,3340,11591,4201,12573,12716,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,3643,4600,11584,3764,3724,3766,3939,3985,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,12698,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,12577,12911,12914,12931,12934,4655,11709,11740,11775,11782,11816,3863,3629,3630,12937,12940,12943,4008,3452,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,4117,11211,12319,12395,12458,12502,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,12701,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,12671,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,3501,12306,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,12654,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,12550,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,12715,12721,12732,3486,10833,10863,10872,10875,11458,12655,3525,3518,3943,3880,10496,11839,11867,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,3904,11959,4242,3635,4645,3915,3951,4630,4632,4633,3400,3402,4631,4634,3736,11832,11916,4336,11692,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,3870,11131,11137,11153,12128,12257,12346,12629,3720,11267,11394,12372,12484,12494,12566,12624,12632,4199,3872,10869,11230,11400,11434,11445,12452,12565,3688,10788,10791,10878,11047,3687,4664,11833,4660,12921,4666,10629,10741,11378,12431,12440,12490,12685,12688,4297,11005,12449,12455,12470,4205,3903,3849,3850,4662,10469,10472,10821,10824,11706,11892,4663,11813,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309,8321,8339,8345,8367,8412,8444,8456,8475,8478,8505,8530,8596,8597,8600,8601,8710,8711,8712,8713,8739,8768,8797,8841,8859,8901,8917,8961,8964,8977,8984,9028,9051,9072,9073,9090,9091,9104,9224,9230,9234,9254,9272,9297,9299,9302,9308,9311,9312,9322,9323,9343,9349,9358,9365,9406,9424,9444,9479,9480,9486,9547,9553,9593,9603,9606,9607,9609,9610,9623,9646,9660,9669,9670,9672,9674,9703,9825,9826,9874,9875,9915,9953,10061,10117,10180,10266,10282,10287,3,2755,2761,2764,2775,2777,2778,2779,2780,2781,2787,2789,2791,2796,2806,2807,2808,2810,2811,2812,2816,2817,2818,2819,2821,2822,2823,2824,2825,2827,2828,2829,2831,2837,2846,2847,2849,2851,2854,2855,2856,2857,2858,2859,2861,2862,2864,2865,2885,2886,2888,2889,2890,2891,2892,2897,2898,2899,2900,2901,2903,2904,2910,2915,2919,2920,2921,2924,2925,2926,2929,2930,2934,2936,2941,2944,2945,2946,2960,2982,2984,2986,2988,2989,5394,5433,5577,5578,5579,5660,5759,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6138,6163,6198,6381])).
% 192.29/192.29 cnf(12969,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x129691),x129691))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(12972,plain,
% 192.29/192.29 (P1(f329(f62(a909),f307(a909,x129721,x129722)))),
% 192.29/192.29 inference(rename_variables,[],[3630])).
% 192.29/192.29 cnf(12975,plain,
% 192.29/192.29 (P1(f329(f62(a909),f307(a909,x129751,x129752)))),
% 192.29/192.29 inference(rename_variables,[],[3630])).
% 192.29/192.29 cnf(12978,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x129781),x129781))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(12991,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x129911),f329(a117,x129911)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(12996,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f46(a909,x129961,x129962)),x129961))),
% 192.29/192.29 inference(rename_variables,[],[3880])).
% 192.29/192.29 cnf(13003,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x130031),f329(a117,x130031)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(13004,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x130041),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(13013,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x130131)),f2(a1)))),
% 192.29/192.29 inference(rename_variables,[],[4655])).
% 192.29/192.29 cnf(13014,plain,
% 192.29/192.29 (P1(f329(f247(f917(x130141,a904)),x130142))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(13017,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a1),f329(f105(a1),x130171)),f2(a1)))),
% 192.29/192.29 inference(rename_variables,[],[4655])).
% 192.29/192.29 cnf(13018,plain,
% 192.29/192.29 (P1(f329(f247(f917(x130181,a904)),x130182))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(13021,plain,
% 192.29/192.29 (P1(f329(f247(f917(x130211,a904)),x130212))),
% 192.29/192.29 inference(rename_variables,[],[3486])).
% 192.29/192.29 cnf(13032,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x130321),x130322),f191(f917(x130321,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(13033,plain,
% 192.29/192.29 (P1(f329(f62(x130331),f191(f917(x130331,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(13042,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f2(a909)),x130421))),
% 192.29/192.29 inference(rename_variables,[],[3446])).
% 192.29/192.29 cnf(13045,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x130451),x130452),f191(f917(x130451,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(13048,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x130481),x130482),f191(f917(x130481,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(13051,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x130511),x130511))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13058,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x130581),x130581))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13062,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x130621),f329(a117,x130621)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(13065,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x130651),x130651))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13070,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x130701),x130701))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13073,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x130731),x130731))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13076,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x130761),x130761))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13079,plain,
% 192.29/192.29 (E(f329(f329(f23(f917(x130791,a904)),f191(f917(x130791,a904))),x130792),f191(f917(x130791,a904)))),
% 192.29/192.29 inference(rename_variables,[],[3691])).
% 192.29/192.29 cnf(13080,plain,
% 192.29/192.29 (P1(f329(f62(x130801),f191(f917(x130801,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(13083,plain,
% 192.29/192.29 (E(f329(f329(f23(f917(x130831,a904)),f191(f917(x130831,a904))),x130832),f191(f917(x130831,a904)))),
% 192.29/192.29 inference(rename_variables,[],[3691])).
% 192.29/192.29 cnf(13084,plain,
% 192.29/192.29 (P1(f329(f62(x130841),f191(f917(x130841,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(13087,plain,
% 192.29/192.29 (E(f329(f329(f23(f917(x130871,a904)),f191(f917(x130871,a904))),x130872),f191(f917(x130871,a904)))),
% 192.29/192.29 inference(rename_variables,[],[3691])).
% 192.29/192.29 cnf(13088,plain,
% 192.29/192.29 (P1(f329(f62(x130881),f191(f917(x130881,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(13091,plain,
% 192.29/192.29 (E(f329(f329(f23(f917(x130911,a904)),f191(f917(x130911,a904))),x130912),f191(f917(x130911,a904)))),
% 192.29/192.29 inference(rename_variables,[],[3691])).
% 192.29/192.29 cnf(13092,plain,
% 192.29/192.29 (P1(f329(f62(x130921),f191(f917(x130921,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(13096,plain,
% 192.29/192.29 (E(f329(f287(x130961,x130961),f268(x130961,x130962)),x130962)),
% 192.29/192.29 inference(rename_variables,[],[3384])).
% 192.29/192.29 cnf(13101,plain,
% 192.29/192.29 (E(f329(f329(f23(f917(x131011,a904)),f191(f917(x131011,a904))),x131012),f191(f917(x131011,a904)))),
% 192.29/192.29 inference(rename_variables,[],[3691])).
% 192.29/192.29 cnf(13102,plain,
% 192.29/192.29 (P1(f329(f62(x131021),f191(f917(x131021,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(13106,plain,
% 192.29/192.29 (P1(f329(f62(x131061),f191(f917(x131061,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3501])).
% 192.29/192.29 cnf(13109,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x131091),x131091))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13115,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x131151),x131151))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(13118,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x131181),f329(a117,x131181)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(13121,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x131211),x131211))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13124,plain,
% 192.29/192.29 (P1(f329(f329(f240(a909),x131241),f329(a117,x131241)))),
% 192.29/192.29 inference(rename_variables,[],[3493])).
% 192.29/192.29 cnf(13139,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x131391),x131391))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13142,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x131421),x131421))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(13145,plain,
% 192.29/192.29 (~P1(f329(f329(f331(x131451),x131452),f191(f917(x131451,a904))))),
% 192.29/192.29 inference(rename_variables,[],[4651])).
% 192.29/192.29 cnf(13156,plain,
% 192.29/192.29 (P1(f329(f329(f331(x131561),x131562),f247(f917(x131561,a904))))),
% 192.29/192.29 inference(rename_variables,[],[3578])).
% 192.29/192.29 cnf(13157,plain,
% 192.29/192.29 (E(f329(f195(x131571,x131572),x131573),f125(x131571,x131572))),
% 192.29/192.29 inference(rename_variables,[],[3338])).
% 192.29/192.29 cnf(13165,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x131651,a904)),x131652),x131652))),
% 192.29/192.29 inference(rename_variables,[],[3720])).
% 192.29/192.29 cnf(13171,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x131711),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(13172,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x131721),x131721))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(13176,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x131761),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(13177,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x131771),x131771))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(13182,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x131821),x131821))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13189,plain,
% 192.29/192.29 (E(f329(f329(f16(x131891,x131892),x131893),x131894),x131893)),
% 192.29/192.29 inference(rename_variables,[],[3415])).
% 192.29/192.29 cnf(13192,plain,
% 192.29/192.29 (P1(f329(f329(f239(f917(x131921,a904)),f329(f175(x131921),f179(x131921,x131922,x131923))),f329(f175(x131921),x131922)))),
% 192.29/192.29 inference(rename_variables,[],[4117])).
% 192.29/192.29 cnf(13194,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),f421(f329(x131941,f2(a909)),x131941,f2(a909))),f2(a909)))),
% 192.29/192.29 inference(scs_inference,[],[4665,4083,12651,12859,12861,12863,3638,12292,12310,12811,12813,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,12645,12791,3670,12392,12766,12768,3679,3393,12842,12844,12846,3394,12826,3360,12726,4612,4613,11913,4358,12887,3397,12775,3234,3291,12801,3292,12819,3293,3294,3295,12601,12848,4611,3722,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,12615,4592,10610,10709,11162,3481,3444,12873,3628,3344,4589,3031,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3077,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3103,3106,3107,3110,3111,3114,3119,3122,3124,3125,3126,3138,3142,3182,3183,3187,3195,3196,3197,3198,3204,3315,4574,3216,3290,4575,3760,3989,11850,3268,11555,3406,3381,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,12704,12760,12762,12764,12779,12781,12805,12807,12809,12867,12894,3355,12586,12590,12594,3361,3370,3882,4187,3338,13157,3492,12648,12729,3258,3622,3975,11601,3480,12786,3323,3254,3282,3799,12853,3278,4092,3983,3804,4560,3265,3244,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,12591,4609,12555,3415,11932,11935,4016,4649,11188,11279,11516,11519,3823,12796,3529,3747,4627,3496,12824,3318,10517,10836,3319,3582,3311,3235,3340,11591,4201,12573,12716,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,3643,4600,11584,3764,3724,3766,3939,3691,13079,13083,13087,13091,13101,3985,12419,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,12698,12964,12991,13003,13062,13118,13124,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,12577,12911,12914,12931,12934,12956,13004,13171,13176,4655,11709,11740,11775,11782,11816,13013,13017,3863,3629,3630,12937,12940,12943,12946,12972,4008,3452,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,12675,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,4117,11211,12319,12395,12458,12502,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,12701,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,12671,12957,12978,13051,13058,13065,13070,13073,13076,13109,13121,13139,13182,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,12202,12969,13115,13142,13172,13177,3501,12306,13033,13080,13084,13088,13092,13102,13106,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,12654,12738,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,12550,12741,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,12715,12721,12732,12752,13032,13045,13048,3486,10833,10863,10872,10875,11458,12655,12672,13014,13018,13021,3525,3518,3943,3880,10496,11839,11867,12996,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,12437,3904,11959,12953,4242,3635,4645,3915,3951,4630,4632,4633,3400,3402,4631,4634,3736,11832,11916,4336,11692,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,3870,11131,11137,11153,12128,12257,12346,12629,3720,11267,11394,12372,12484,12494,12566,12624,12632,12749,4199,3872,10869,11230,11400,11434,11445,12452,12565,3688,10788,10791,10878,11047,3687,4664,11833,4660,12921,4666,10629,10741,11378,12431,12440,12490,12685,12688,4297,11005,12449,12455,12470,4205,3903,12755,3849,3850,4662,10469,10472,10821,10824,11706,11892,12697,4663,11813,11901,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863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54])).
% 192.29/192.29 cnf(13196,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x131961),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(13197,plain,
% 192.29/192.29 (P1(f329(f329(f239(a1),x131971),x131971))),
% 192.29/192.29 inference(rename_variables,[],[3427])).
% 192.29/192.29 cnf(13201,plain,
% 192.29/192.29 (~P1(f329(f329(f240(a909),x132011),f2(a909)))),
% 192.29/192.29 inference(rename_variables,[],[4642])).
% 192.29/192.29 cnf(13206,plain,
% 192.29/192.29 (~P1(f329(f329(f240(f917(a909,a904)),f305(a909,f329(a117,x132061),f329(a117,x132061))),f305(a909,x132062,x132061)))),
% 192.29/192.29 inference(scs_inference,[],[4665,4083,12651,12859,12861,12863,3638,12292,12310,12811,12813,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,12645,12791,3670,12392,12766,12768,3679,3393,12842,12844,12846,3394,12826,3360,12726,4612,4613,11913,4358,12887,3397,12775,3234,3291,12801,3292,12819,3293,3294,3295,12601,12848,4611,3722,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,12615,4592,10610,10709,11162,3481,3444,12873,3628,3344,4589,3031,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3077,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3103,3106,3107,3110,3111,3114,3119,3122,3124,3125,3126,3138,3142,3182,3183,3187,3195,3196,3197,3198,3204,3315,4574,3216,3290,4575,3760,3989,11850,3268,11555,3406,3381,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,12704,12760,12762,12764,12779,12781,12805,12807,12809,12867,12894,3355,12586,12590,12594,3361,3370,3882,4187,3338,13157,3492,12648,12729,3258,3622,3975,11601,3480,12786,3323,3254,3282,3799,12853,3278,4092,3983,3804,4560,3265,3244,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,12591,4609,12555,3415,11932,11935,4016,4649,11188,11279,11516,11519,3823,12796,3529,3747,4627,3496,12824,3318,10517,10836,3319,3582,3311,3235,3340,11591,4201,12573,12716,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,3643,4600,11584,3764,3724,3766,3939,3691,13079,13083,13087,13091,13101,3985,12419,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,12698,12964,12991,13003,13062,13118,13124,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,12577,12911,12914,12931,12934,12956,13004,13171,13176,13196,4655,11709,11740,11775,11782,11816,13013,13017,3863,3629,3630,12937,12940,12943,12946,12972,4008,3452,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,12675,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,4117,11211,12319,12395,12458,12502,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,12701,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,12671,12957,12978,13051,13058,13065,13070,13073,13076,13109,13121,13139,13182,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,12202,12969,13115,13142,13172,13177,13197,3501,12306,13033,13080,13084,13088,13092,13102,13106,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,12654,12738,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,12550,12741,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,12715,12721,12732,12752,13032,13045,13048,3486,10833,10863,10872,10875,11458,12655,12672,13014,13018,13021,3525,3518,3943,3880,10496,11839,11867,12996,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,12437,3904,11959,12953,4242,3635,4645,3915,3951,4630,4632,4633,3400,3402,4631,4634,3736,11832,11916,4336,11692,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,3870,11131,11137,11153,12128,12257,12346,12629,3720,11267,11394,12372,12484,12494,12566,12624,12632,12749,4199,3872,10869,11230,11400,11434,11445,12452,12565,3688,10788,10791,10878,11047,3687,4664,11833,4660,12921,4666,10629,10741,11378,12431,12440,12490,12685,12688,4297,11005,12449,12455,12470,4205,3903,12755,3849,3850,4662,10469,10472,10821,10824,11706,11892,12697,4663,11813,11901,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309,8321,8339,8345,8367,8412,8444,8456,8475,8478,8505,8530,8596,8597,8600,8601,8710,8711,8712,8713,8739,8768,8797,8841,8859,8901,8917,8961,8964,8977,8984,9028,9051,9072,9073,9090,9091,9104,9224,9230,9234,9254,9272,9297,9299,9302,9308,9311,9312,9322,9323,9343,9349,9358,9365,9406,9424,9444,9479,9480,9486,9547,9553,9593,9603,9606,9607,9609,9610,9623,9646,9660,9669,9670,9672,9674,9703,9825,9826,9874,9875,9915,9953,10061,10117,10180,10266,10282,10287,3,2755,2761,2764,2775,2777,2778,2779,2780,2781,2787,2789,2791,2796,2806,2807,2808,2810,2811,2812,2816,2817,2818,2819,2821,2822,2823,2824,2825,2827,2828,2829,2831,2837,2846,2847,2849,2851,2854,2855,2856,2857,2858,2859,2861,2862,2864,2865,2885,2886,2888,2889,2890,2891,2892,2897,2898,2899,2900,2901,2903,2904,2910,2915,2919,2920,2921,2924,2925,2926,2929,2930,2934,2936,2941,2944,2945,2946,2960,2982,2984,2986,2988,2989,5394,5433,5577,5578,5579,5660,5759,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6138,6163,6198,6381,6388,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6706,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7149,7150,7152,7190,7234,7235,7332,7403,7404,7405,7406,7421,7459,7511,7512,7521,7528,7530,7542,7576,7577,7578,7579,7719,7720,7726,7727,7729,7731,7947,7949,7950,7966,8003,8004,8083,8128,8187,8209,8210,8284,8380,8454,8455,8457,8490,8554,8555,8631,8653])).
% 192.29/192.29 cnf(13207,plain,
% 192.29/192.29 (P1(f329(f329(f239(a909),x132071),x132071))),
% 192.29/192.29 inference(rename_variables,[],[3426])).
% 192.29/192.29 cnf(13209,plain,
% 192.29/192.29 (~P1(f329(f329(f239(f917(a909,a904)),f305(a909,f329(a117,x132091),f329(a117,x132091))),f305(a909,x132092,x132091)))),
% 192.29/192.30 inference(scs_inference,[],[4665,4083,12651,12859,12861,12863,3638,12292,12310,12811,12813,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,12645,12791,3670,12392,12766,12768,3679,3393,12842,12844,12846,3394,12826,3360,12726,4612,4613,11913,4358,12887,3397,12775,3234,3291,12801,3292,12819,3293,3294,3295,12601,12848,4611,3722,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,12615,4592,10610,10709,11162,3481,3444,12873,3628,3344,4589,3031,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3077,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3103,3106,3107,3110,3111,3114,3119,3122,3124,3125,3126,3138,3142,3182,3183,3187,3195,3196,3197,3198,3204,3315,4574,3216,3290,4575,3760,3989,11850,3268,11555,3406,3381,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,12704,12760,12762,12764,12779,12781,12805,12807,12809,12867,12894,3355,12586,12590,12594,3361,3370,3882,4187,3338,13157,3492,12648,12729,3258,3622,3975,11601,3480,12786,3323,3254,3282,3799,12853,3278,4092,3983,3804,4560,3265,3244,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,12591,4609,12555,3415,11932,11935,4016,4649,11188,11279,11516,11519,3823,12796,3529,3747,4627,3496,12824,3318,10517,10836,3319,3582,3311,3235,3340,11591,4201,12573,12716,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,3643,4600,11584,3764,3724,3766,3939,3691,13079,13083,13087,13091,13101,3985,12419,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,12698,12964,12991,13003,13062,13118,13124,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,12577,12911,12914,12931,12934,12956,13004,13171,13176,13196,4655,11709,11740,11775,11782,11816,13013,13017,3863,3629,3630,12937,12940,12943,12946,12972,4008,3452,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,12675,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,4117,11211,12319,12395,12458,12502,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,12701,4659,10962,11357,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,12671,12957,12978,13051,13058,13065,13070,13073,13076,13109,13121,13139,13182,13207,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,12202,12969,13115,13142,13172,13177,13197,3501,12306,13033,13080,13084,13088,13092,13102,13106,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,12654,12738,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,12550,12741,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,12715,12721,12732,12752,13032,13045,13048,3486,10833,10863,10872,10875,11458,12655,12672,13014,13018,13021,3525,3518,3943,3880,10496,11839,11867,12996,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,3446,10866,11018,11091,11868,12010,12207,12437,3904,11959,12953,4242,3635,4645,3915,3951,4630,4632,4633,3400,3402,4631,4634,3736,11832,11916,4336,11692,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,3870,11131,11137,11153,12128,12257,12346,12629,3720,11267,11394,12372,12484,12494,12566,12624,12632,12749,4199,3872,10869,11230,11400,11434,11445,12452,12565,3688,10788,10791,10878,11047,3687,4664,11833,4660,12921,4666,10629,10741,11378,12431,12440,12490,12685,12688,4297,11005,12449,12455,12470,4205,3903,12755,3849,3850,4662,10469,10472,10821,10824,11706,11892,12697,4663,11813,11901,3873,10785,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309,8321,8339,8345,8367,8412,8444,8456,8475,8478,8505,8530,8596,8597,8600,8601,8710,8711,8712,8713,8739,8768,8797,8841,8859,8901,8917,8961,8964,8977,8984,9028,9051,9072,9073,9090,9091,9104,9224,9230,9234,9254,9272,9297,9299,9302,9308,9311,9312,9322,9323,9343,9349,9358,9365,9406,9424,9444,9479,9480,9486,9547,9553,9593,9603,9606,9607,9609,9610,9623,9646,9660,9669,9670,9672,9674,9703,9825,9826,9874,9875,9915,9953,10061,10117,10180,10266,10282,10287,3,2755,2761,2764,2775,2777,2778,2779,2780,2781,2787,2789,2791,2796,2806,2807,2808,2810,2811,2812,2816,2817,2818,2819,2821,2822,2823,2824,2825,2827,2828,2829,2831,2837,2846,2847,2849,2851,2854,2855,2856,2857,2858,2859,2861,2862,2864,2865,2885,2886,2888,2889,2890,2891,2892,2897,2898,2899,2900,2901,2903,2904,2910,2915,2919,2920,2921,2924,2925,2926,2929,2930,2934,2936,2941,2944,2945,2946,2960,2982,2984,2986,2988,2989,5394,5433,5577,5578,5579,5660,5759,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6138,6163,6198,6381,6388,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6706,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7149,7150,7152,7190,7234,7235,7332,7403,7404,7405,7406,7421,7459,7511,7512,7521,7528,7530,7542,7576,7577,7578,7579,7719,7720,7726,7727,7729,7731,7947,7949,7950,7966,8003,8004,8083,8128,8187,8209,8210,8284,8380,8454,8455,8457,8490,8554,8555,8631,8653,8654])).
% 192.29/192.30 cnf(13210,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x132101),x132101))),
% 192.29/192.30 inference(rename_variables,[],[3426])).
% 192.29/192.30 cnf(13213,plain,
% 192.29/192.30 (~P1(f329(f329(f239(a909),f329(a117,x132131)),x132131))),
% 192.29/192.30 inference(rename_variables,[],[4648])).
% 192.29/192.30 cnf(13219,plain,
% 192.29/192.30 (P1(f329(f329(f331(x132191),f329(x132192,x132193)),f329(f312(x132194,x132191,x132192),f247(f917(x132194,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[4026])).
% 192.29/192.30 cnf(13220,plain,
% 192.29/192.30 (P31(x132201,x132201,f5(x132201),x132202)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13224,plain,
% 192.29/192.30 (P1(f329(f329(f331(x132241),x132242),f247(f917(x132241,a904))))),
% 192.29/192.30 inference(rename_variables,[],[3578])).
% 192.29/192.30 cnf(13225,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x132251),x132252),f191(f917(x132251,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13229,plain,
% 192.29/192.30 (P1(f329(f329(f239(f917(x132291,a904)),x132292),f247(f917(x132291,a904))))),
% 192.29/192.30 inference(rename_variables,[],[3806])).
% 192.29/192.30 cnf(13230,plain,
% 192.29/192.30 (P31(x132301,x132301,f5(x132301),x132302)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13234,plain,
% 192.29/192.30 (P1(f329(f329(f239(f917(x132341,a904)),x132342),f247(f917(x132341,a904))))),
% 192.29/192.30 inference(rename_variables,[],[3806])).
% 192.29/192.30 cnf(13235,plain,
% 192.29/192.30 (P31(x132351,x132351,f5(x132351),x132352)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13239,plain,
% 192.29/192.30 (P31(x132391,x132391,f5(x132391),x132392)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13242,plain,
% 192.29/192.30 (~P1(f329(f329(f240(f917(x132421,a904)),x132422),f191(f917(x132421,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4659])).
% 192.29/192.30 cnf(13245,plain,
% 192.29/192.30 (P31(x132451,x132451,f5(x132451),x132452)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13248,plain,
% 192.29/192.30 (P31(x132481,x132481,f5(x132481),x132482)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13259,plain,
% 192.29/192.30 (P1(f329(f329(f239(f917(x132591,a904)),f191(f917(x132591,a904))),x132592))),
% 192.29/192.30 inference(rename_variables,[],[3872])).
% 192.29/192.30 cnf(13263,plain,
% 192.29/192.30 (E(f329(f287(x132631,x132631),f268(x132631,x132632)),x132632)),
% 192.29/192.30 inference(rename_variables,[],[3384])).
% 192.29/192.30 cnf(13267,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x132671),x132672),f191(f917(x132671,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13272,plain,
% 192.29/192.30 (P31(x132721,x132721,f5(x132721),x132722)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13282,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x132821),x132822),f191(f917(x132821,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13285,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x132851),x132852),f191(f917(x132851,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13288,plain,
% 192.29/192.30 (P1(f329(f329(f240(a909),x132881),f329(a117,x132881)))),
% 192.29/192.30 inference(rename_variables,[],[3493])).
% 192.29/192.30 cnf(13289,plain,
% 192.29/192.30 (~E(f329(a117,x132891),x132891)),
% 192.29/192.30 inference(rename_variables,[],[4579])).
% 192.29/192.30 cnf(13292,plain,
% 192.29/192.30 (P1(f329(f329(f240(a909),x132921),f329(a117,f329(f329(f82(a909),x132922),x132921))))),
% 192.29/192.30 inference(rename_variables,[],[3873])).
% 192.29/192.30 cnf(13293,plain,
% 192.29/192.30 (P1(f329(f329(f240(a909),x132931),f329(a117,x132931)))),
% 192.29/192.30 inference(rename_variables,[],[3493])).
% 192.29/192.30 cnf(13295,plain,
% 192.29/192.30 (~E(f329(f329(f83(a909),f329(a117,f2(a909))),f124(x132951)),f329(f329(f83(a909),f329(a117,f2(a909))),f130(x132951,x132952,x132953)))),
% 192.29/192.30 inference(scs_inference,[],[4665,4083,12651,12859,12861,12863,3638,12292,12310,12811,12813,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,12645,12791,12793,13220,13230,13235,13239,13245,13248,3670,12392,12766,12768,3679,3393,12842,12844,12846,3394,12826,3360,12726,4612,4613,11913,4358,12887,3397,12775,3234,3291,12801,3292,12819,3293,3294,3295,12601,12848,4611,3722,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,12615,12758,13289,4592,10610,10709,11162,3481,3444,12873,3628,3344,4589,3031,3032,3035,3036,3040,3041,3053,3064,3065,3066,3069,3071,3072,3077,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3103,3106,3107,3110,3111,3114,3119,3122,3124,3125,3126,3138,3142,3182,3183,3187,3195,3196,3197,3198,3204,3315,4574,3216,3290,4575,3760,3989,11850,3268,11555,3406,3381,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,12704,12760,12762,12764,12779,12781,12805,12807,12809,12867,12894,13096,3355,12586,12590,12594,3361,3370,3882,4187,3338,13157,3492,12648,12729,3257,3258,3622,3975,11601,3480,12786,3323,3254,3282,3799,12853,3278,4092,3983,3302,3804,4560,3265,3244,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,12591,4609,12555,3415,11932,11935,4016,4649,11188,11279,11516,11519,3823,12796,3410,3529,3747,4627,3496,12824,3318,10517,10836,3319,4636,3582,3311,3235,3340,11591,4201,12573,12716,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,11414,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,3643,4600,11584,3764,3724,3766,3939,3691,13079,13083,13087,13091,13101,3985,12419,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,12698,12964,12991,13003,13062,13118,13124,13288,3875,11836,3408,3505,11666,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,12577,12911,12914,12931,12934,12956,13004,13171,13176,13196,4655,11709,11740,11775,11782,11816,13013,13017,3863,3629,3630,12937,12940,12943,12946,12972,4008,3452,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,12675,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,4117,11211,12319,12395,12458,12502,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,12701,13229,13234,4659,10962,11357,13242,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,12671,12957,12978,13051,13058,13065,13070,13073,13076,13109,13121,13139,13182,13207,13210,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,12202,12969,13115,13142,13172,13177,13197,3501,12306,13033,13080,13084,13088,13092,13102,13106,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,12654,12738,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,12550,12741,13156,13224,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,12715,12721,12732,12752,13032,13045,13048,13145,13225,13267,13282,3486,10833,10863,10872,10875,11458,12655,12672,13014,13018,13021,3525,3518,3943,3880,10496,11839,11867,12996,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,13213,3446,10866,11018,11091,11868,12010,12207,12437,3904,11959,12953,4242,3635,4645,3915,3951,4630,4632,4633,3400,3402,4631,4634,3736,11832,11916,12335,4336,11692,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,12664,13219,3870,11131,11137,11153,12128,12257,12346,12629,12661,3720,11267,11394,12372,12484,12494,12566,12624,12632,12749,4199,3872,10869,11230,11400,11434,11445,12452,12565,12618,3688,10788,10791,10878,11047,3687,4664,11833,4660,12921,4666,10629,10741,11378,12431,12440,12490,12685,12688,4297,11005,12449,12455,12470,12493,4205,3903,12755,3849,3850,4662,10469,10472,10821,10824,11706,11892,12697,4663,11813,11901,3873,10785,11044,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309,8321,8339,8345,8367,8412,8444,8456,8475,8478,8505,8530,8596,8597,8600,8601,8710,8711,8712,8713,8739,8768,8797,8841,8859,8901,8917,8961,8964,8977,8984,9028,9051,9072,9073,9090,9091,9104,9224,9230,9234,9254,9272,9297,9299,9302,9308,9311,9312,9322,9323,9343,9349,9358,9365,9406,9424,9444,9479,9480,9486,9547,9553,9593,9603,9606,9607,9609,9610,9623,9646,9660,9669,9670,9672,9674,9703,9825,9826,9874,9875,9915,9953,10061,10117,10180,10266,10282,10287,3,2755,2761,2764,2775,2777,2778,2779,2780,2781,2787,2789,2791,2796,2806,2807,2808,2810,2811,2812,2816,2817,2818,2819,2821,2822,2823,2824,2825,2827,2828,2829,2831,2837,2846,2847,2849,2851,2854,2855,2856,2857,2858,2859,2861,2862,2864,2865,2885,2886,2888,2889,2890,2891,2892,2897,2898,2899,2900,2901,2903,2904,2910,2915,2919,2920,2921,2924,2925,2926,2929,2930,2934,2936,2941,2944,2945,2946,2960,2982,2984,2986,2988,2989,5394,5433,5577,5578,5579,5660,5759,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6138,6163,6198,6381,6388,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6706,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7149,7150,7152,7190,7234,7235,7332,7403,7404,7405,7406,7421,7459,7511,7512,7521,7528,7530,7542,7576,7577,7578,7579,7719,7720,7726,7727,7729,7731,7947,7949,7950,7966,8003,8004,8083,8128,8187,8209,8210,8284,8380,8454,8455,8457,8490,8554,8555,8631,8653,8654,8655,8656,8800,9021,9047,9048,9119,9133,9189,9190,9319,9352,9376,9407,9449,9644,9911,10086,10142,10144,6531,6532,6621])).
% 192.29/192.30 cnf(13302,plain,
% 192.29/192.30 (P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x133021)))),
% 192.29/192.30 inference(rename_variables,[],[3525])).
% 192.29/192.30 cnf(13307,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),f2(a909)),x133071))),
% 192.29/192.30 inference(rename_variables,[],[3446])).
% 192.29/192.30 cnf(13308,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x133081),x133081))),
% 192.29/192.30 inference(rename_variables,[],[3426])).
% 192.29/192.30 cnf(13311,plain,
% 192.29/192.30 (~E(f329(a117,x133111),f2(a909))),
% 192.29/192.30 inference(rename_variables,[],[4589])).
% 192.29/192.30 cnf(13316,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x133161),x133162),f191(f917(x133161,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13319,plain,
% 192.29/192.30 (P1(f329(f62(a909),f307(a909,x133191,x133192)))),
% 192.29/192.30 inference(rename_variables,[],[3630])).
% 192.29/192.30 cnf(13320,plain,
% 192.29/192.30 (E(f329(f329(f237(a909),f329(a117,x133201)),f329(a117,x133202)),f329(a117,f329(f329(f237(a909),x133201),x133202)))),
% 192.29/192.30 inference(rename_variables,[],[3594])).
% 192.29/192.30 cnf(13323,plain,
% 192.29/192.30 (P1(f329(f62(a909),f307(a909,x133231,x133232)))),
% 192.29/192.30 inference(rename_variables,[],[3630])).
% 192.29/192.30 cnf(13324,plain,
% 192.29/192.30 (E(f329(f329(f238(a909),f329(a117,x133241)),f329(a117,x133242)),f329(a117,f329(f329(f238(a909),x133241),x133242)))),
% 192.29/192.30 inference(rename_variables,[],[3595])).
% 192.29/192.30 cnf(13327,plain,
% 192.29/192.30 (P1(f329(f62(a909),f307(a909,x133271,x133272)))),
% 192.29/192.30 inference(rename_variables,[],[3630])).
% 192.29/192.30 cnf(13336,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x133361),x133362),f191(f917(x133361,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13337,plain,
% 192.29/192.30 (E(f329(f329(f16(x133371,x133372),x133373),x133374),x133373)),
% 192.29/192.30 inference(rename_variables,[],[3415])).
% 192.29/192.30 cnf(13340,plain,
% 192.29/192.30 (P1(f329(f329(f239(f917(x133401,a904)),f329(f175(x133401),f329(f139(x133401,x133402),x133403))),f329(f175(x133401),x133403)))),
% 192.29/192.30 inference(rename_variables,[],[4068])).
% 192.29/192.30 cnf(13341,plain,
% 192.29/192.30 (E(f329(f329(f16(x133411,x133412),x133413),x133414),x133413)),
% 192.29/192.30 inference(rename_variables,[],[3415])).
% 192.29/192.30 cnf(13344,plain,
% 192.29/192.30 (P1(f329(f329(f239(f917(x133441,a904)),f329(f175(x133441),f329(f329(f178(x133441),x133442),x133443))),f329(f175(x133441),x133443)))),
% 192.29/192.30 inference(rename_variables,[],[4112])).
% 192.29/192.30 cnf(13345,plain,
% 192.29/192.30 (E(f329(f329(f16(x133451,x133452),x133453),x133454),x133453)),
% 192.29/192.30 inference(rename_variables,[],[3415])).
% 192.29/192.30 cnf(13349,plain,
% 192.29/192.30 (E(f329(f329(f16(x133491,x133492),x133493),x133494),x133493)),
% 192.29/192.30 inference(rename_variables,[],[3415])).
% 192.29/192.30 cnf(13362,plain,
% 192.29/192.30 (P1(f329(f329(f239(a1),f2(a1)),f329(f105(a1),x133621)))),
% 192.29/192.30 inference(rename_variables,[],[3525])).
% 192.29/192.30 cnf(13365,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x133651),x133652),f191(f917(x133651,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13366,plain,
% 192.29/192.30 (E(f329(f287(x133661,x133661),f268(x133661,x133662)),x133662)),
% 192.29/192.30 inference(rename_variables,[],[3384])).
% 192.29/192.30 cnf(13367,plain,
% 192.29/192.30 (P31(x133671,x133671,f5(x133671),x133672)),
% 192.29/192.30 inference(rename_variables,[],[3662])).
% 192.29/192.30 cnf(13371,plain,
% 192.29/192.30 (E(f329(f287(x133711,x133711),f268(x133711,x133712)),x133712)),
% 192.29/192.30 inference(rename_variables,[],[3384])).
% 192.29/192.30 cnf(13377,plain,
% 192.29/192.30 (P1(f329(f329(f240(a909),x133771),f329(a117,x133771)))),
% 192.29/192.30 inference(rename_variables,[],[3493])).
% 192.29/192.30 cnf(13379,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x133791),x133791))),
% 192.29/192.30 inference(rename_variables,[],[3426])).
% 192.29/192.30 cnf(13380,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),f2(a909)),x133801))),
% 192.29/192.30 inference(rename_variables,[],[3446])).
% 192.29/192.30 cnf(13383,plain,
% 192.29/192.30 (P1(f329(f329(f240(a909),x133831),f329(a117,x133831)))),
% 192.29/192.30 inference(rename_variables,[],[3493])).
% 192.29/192.30 cnf(13386,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),f2(a909)),x133861))),
% 192.29/192.30 inference(rename_variables,[],[3446])).
% 192.29/192.30 cnf(13390,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),f2(a909)),x133901))),
% 192.29/192.30 inference(rename_variables,[],[3446])).
% 192.29/192.30 cnf(13391,plain,
% 192.29/192.30 (P1(f329(f329(f240(a909),f2(a909)),f329(a117,x133911)))),
% 192.29/192.30 inference(rename_variables,[],[3505])).
% 192.29/192.30 cnf(13392,plain,
% 192.29/192.30 (E(f329(f287(x133921,x133921),f268(x133921,x133922)),x133922)),
% 192.29/192.30 inference(rename_variables,[],[3384])).
% 192.29/192.30 cnf(13411,plain,
% 192.29/192.30 (E(f329(f329(f82(a909),f2(a909)),f846(f329(a117,f2(a909)),f2(a909))),f2(a909))),
% 192.29/192.30 inference(scs_inference,[],[4665,4083,12651,12859,12861,12863,3638,12292,12310,12811,12813,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,12645,12791,12793,13220,13230,13235,13239,13245,13248,13272,13367,3670,12392,12766,12768,3679,3393,12842,12844,12846,3394,12826,3360,12726,4612,4613,11913,4358,12887,3397,12775,3234,3291,12801,3292,12819,3293,3294,3295,12601,12848,4611,3722,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,12615,12758,13289,4592,10610,10709,11162,3481,3444,12873,3628,3344,4589,11084,13311,3031,3032,3035,3036,3040,3041,3047,3053,3064,3065,3066,3067,3069,3071,3072,3077,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3103,3106,3107,3108,3110,3111,3114,3119,3122,3124,3125,3126,3138,3142,3147,3161,3182,3183,3187,3195,3196,3197,3198,3204,3315,4574,3216,3290,4575,3760,3989,11850,3268,11555,3406,3381,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,12704,12760,12762,12764,12779,12781,12805,12807,12809,12867,12894,13096,13263,13366,13371,13392,3355,12586,12590,12594,3361,3370,3882,4187,3338,13157,3492,12648,12729,3257,3258,3622,3975,11601,3480,12786,3323,3254,3282,3799,12853,3278,4092,3983,3302,3804,4560,3265,3244,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,12591,4609,12555,3415,11932,11935,13189,13337,13341,13345,13349,4016,4649,11188,11279,11516,11519,3823,12796,3410,3529,3747,3521,4627,3496,12824,3318,10517,10836,3319,4636,3582,3311,3235,3340,11591,4201,12573,12716,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,11414,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,3604,3643,4600,11584,3764,3724,3766,3939,3691,13079,13083,13087,13091,13101,3985,12419,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,12698,12964,12991,13003,13062,13118,13124,13288,13293,13377,13383,3875,11836,3408,3505,11666,11947,13391,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,12577,12911,12914,12931,12934,12956,13004,13171,13176,13196,13201,4655,11709,11740,11775,11782,11816,13013,13017,3863,3629,3630,12937,12940,12943,12946,12972,12975,13319,13323,13327,4008,3594,13320,3595,13324,3452,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,12675,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,12604,13340,4112,13344,4117,11211,12319,12395,12458,12502,13192,4118,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,12701,13229,13234,4659,10962,11357,13242,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,12671,12957,12978,13051,13058,13065,13070,13073,13076,13109,13121,13139,13182,13207,13210,13308,13379,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,12202,12969,13115,13142,13172,13177,13197,3501,12306,13033,13080,13084,13088,13092,13102,13106,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,12654,12738,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,12550,12741,13156,13224,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,12715,12721,12732,12752,13032,13045,13048,13145,13225,13267,13282,13285,13316,13336,13365,3486,10833,10863,10872,10875,11458,12655,12672,13014,13018,13021,3525,13302,13362,3518,3943,3880,10496,11839,11867,12996,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,13213,3446,10866,11018,11091,11868,12010,12207,12437,13042,13307,13380,13386,13390,3904,11959,12953,4242,3635,4645,3915,3951,4630,4632,4633,3400,3402,4631,3404,4634,4409,3736,11832,11916,12335,4336,11692,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,12664,13219,3870,11131,11137,11153,12128,12257,12346,12629,12661,3720,11267,11394,12372,12484,12494,12566,12624,12632,12749,13165,4199,3872,10869,11230,11400,11434,11445,12452,12565,12618,13259,3688,10788,10791,10878,11047,3687,4664,11833,4660,12921,4666,10629,10741,11378,12431,12440,12490,12685,12688,4297,11005,12449,12455,12470,12493,4205,3903,12755,3849,3850,4662,10469,10472,10821,10824,11706,11892,12697,4663,11813,11901,3873,10785,11044,13292,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5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,2945,2946,2960,2982,2984,2986,2988,2989,5394,5433,5577,5578,5579,5660,5759,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6138,6163,6198,6381,6388,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6706,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7149,7150,7152,7190,7234,7235,7332,7403,7404,7405,7406,7421,7459,7511,7512,7521,7528,7530,7542,7576,7577,7578,7579,7719,7720,7726,7727,7729,7731,7947,7949,7950,7966,8003,8004,8083,8128,8187,8209,8210,8284,8380,8454,8455,8457,8490,8554,8555,8631,8653,8654,8655,8656,8800,9021,9047,9048,9119,9133,9189,9190,9319,9352,9376,9407,9449,9644,9911,10086,10142,10144,6531,6532,6621,6641,6642,6698,7055,7270,8725,8955,9145,9146,9215,9216,9403,9496,9497,9498,9499,9706,9974,10341,10342,6601,8546,8547,9010,9029,9975,10340,4726,4758])).
% 192.29/192.30 cnf(13473,plain,
% 192.29/192.30 (P1(f329(f329(f240(a1),f2(a1)),f329(f77(a1),f80(a1))))),
% 192.29/192.30 inference(scs_inference,[],[4665,4083,12651,12859,12861,12863,3638,12292,12310,12811,12813,3662,11274,12325,12422,12425,12523,12558,12562,12570,12583,12645,12791,12793,13220,13230,13235,13239,13245,13248,13272,13367,3670,12392,12766,12768,3679,3393,12842,12844,12846,3394,12826,3360,12726,4612,4613,11913,4358,12887,3397,12775,3234,3291,12801,3292,12819,3293,3294,3295,12601,12848,4611,3722,4579,10384,10394,10407,10418,10421,10525,10528,10531,10626,10757,11063,11252,11255,11475,11558,11565,11579,11625,11628,11650,11667,11682,11745,11803,11819,12107,12132,12147,12176,12182,12274,12388,12551,12615,12758,13289,4592,10610,10709,11162,3481,3444,12873,3628,3344,4589,11084,13311,3031,3032,3035,3036,3040,3041,3047,3053,3064,3065,3066,3067,3069,3071,3072,3077,3078,3083,3084,3086,3087,3089,3090,3091,3093,3094,3100,3103,3106,3107,3108,3110,3111,3114,3119,3122,3124,3125,3126,3138,3142,3147,3161,3182,3183,3187,3195,3196,3197,3198,3204,3315,4574,3216,3290,4575,3760,3989,11850,3268,11555,3406,3381,3384,10456,10459,10552,10555,10860,11570,11573,11693,11732,11737,11845,11885,12295,12499,12704,12760,12762,12764,12779,12781,12805,12807,12809,12867,12894,13096,13263,13366,13371,13392,3355,12586,12590,12594,3361,3370,3882,4187,3338,13157,3492,12648,12729,3257,3258,3622,3975,11601,3480,12786,3323,3254,3282,3799,12853,3278,4092,3983,3302,3804,4560,3265,3244,3894,3301,3482,11015,11140,12389,12605,3354,4057,4602,10447,10607,11472,11653,12547,12587,12591,4609,12555,3415,11932,11935,13189,13337,13341,13345,13349,4016,4649,11188,11279,11516,11519,3823,12796,3410,3529,3747,3521,4627,3496,12824,3318,10517,10836,3319,4636,3582,3311,3235,3340,11591,4201,12573,12716,4059,11208,11333,11403,12531,12537,12665,12668,12694,4668,11118,11346,11466,11489,11524,11530,12478,4669,11241,11349,11469,11527,4670,11352,11414,4671,11421,4672,3339,3620,12428,12475,12554,3787,3571,4472,4473,3604,3643,4600,11584,3764,3724,3766,3939,3691,13079,13083,13087,13091,13101,3985,12419,3606,3865,3493,10536,10649,10726,10796,10799,10839,10938,11178,11779,12103,12169,12245,12283,12354,12357,12698,12964,12991,13003,13062,13118,13124,13288,13293,13377,13383,3875,11836,3408,3505,11666,11947,13391,3685,4642,10424,10427,10453,10946,10959,11073,11508,11594,11778,11993,12001,12221,12224,12481,12577,12911,12914,12931,12934,12956,13004,13171,13176,13196,13201,4655,11709,11740,11775,11782,11816,13013,13017,3863,3629,3630,12937,12940,12943,12946,12972,12975,13319,13323,13327,4008,3594,13320,3595,13324,3452,3454,3428,4639,3317,4597,3814,4123,3613,4656,4194,11486,3746,3465,11953,11956,12396,12503,12675,4647,10412,10415,10578,10670,10689,10696,10721,10729,10732,10746,10929,11165,11383,11660,11754,11904,12014,12017,4163,4122,12096,12443,4068,11012,12277,12459,12604,13340,4112,13344,4117,11211,12319,12395,12458,12502,13192,4118,3788,11786,12106,12252,12330,12379,4151,3806,11214,11284,11375,11440,12273,12347,12610,12691,12701,13229,13234,4659,10962,11357,13242,3425,10545,10636,10782,10846,11685,11907,11950,11981,12076,12131,12322,12340,12462,3426,10918,10965,10968,10999,11021,11057,11098,11134,12150,12153,12156,12159,12360,12363,12366,12369,12436,12621,12671,12957,12978,13051,13058,13065,13070,13073,13076,13109,13121,13139,13182,13207,13210,13308,13379,3427,10623,10851,10941,11060,11799,11984,11996,12082,12093,12114,12119,12162,12187,12202,12969,13115,13142,13172,13177,13197,3501,12306,13033,13080,13084,13088,13092,13102,13106,4638,10464,10493,10983,11024,11033,11864,11888,12038,12041,12044,12047,12146,12165,12168,12181,12233,12236,12239,12242,12407,12410,12509,12512,12614,12654,12738,3578,10714,10802,11068,11115,11336,11339,11429,11505,11670,12135,12550,12741,13156,13224,4651,10992,11002,11107,11125,11128,11191,11194,11205,11298,11306,11320,11360,11388,11397,11437,11478,11483,11499,11502,11533,11538,11541,11785,11929,11962,12227,12230,12264,12307,12343,12487,12528,12534,12633,12636,12658,12715,12721,12732,12752,13032,13045,13048,13145,13225,13267,13282,13285,13316,13336,13365,3486,10833,10863,10872,10875,11458,12655,12672,13014,13018,13021,3525,13302,13362,3518,3943,3880,10496,11839,11867,12996,4648,10444,10827,10830,11301,11317,11802,11855,11896,12011,12050,12053,12056,12059,13213,3446,10866,11018,11091,11868,12010,12207,12437,13042,13307,13380,13386,13390,3904,11959,12953,4242,3635,4645,3915,3951,4630,4632,4633,3400,3402,4631,3404,4634,4409,3736,11832,11916,12335,4336,11692,4661,10735,10738,4667,11197,11200,11391,11513,11547,4026,11544,11891,11895,12561,12569,12664,13219,3870,11131,11137,11153,12128,12257,12346,12629,12661,3720,11267,11394,12372,12484,12494,12566,12624,12632,12749,13165,4199,3872,10869,11230,11400,11434,11445,12452,12565,12618,13259,3688,10788,10791,10878,11047,3687,4664,11833,4660,12921,4666,10629,10741,11378,12431,12440,12490,12685,12688,4297,11005,12449,12455,12470,12493,4205,3903,12755,3849,3850,4662,10469,10472,10821,10824,11706,11892,12697,4663,11813,11901,3873,10785,11044,13292,4137,4679,4705,4761,4765,4793,4808,4815,4817,4853,4858,4887,4893,4979,5005,5006,5021,5043,5072,5073,5095,5096,5110,5113,5138,5144,5160,5163,5164,5165,5170,5171,5196,5222,5224,5225,5235,5240,5248,5285,5286,5294,5302,5306,5308,5322,5324,5330,5335,5336,5349,5355,5358,5359,5363,5397,5411,5420,5422,5423,5426,5427,5428,5438,5440,5446,5447,5448,5454,5458,5459,5460,5468,5472,5473,5478,5491,5499,5511,5513,5521,5525,5529,5555,5569,5570,5585,5597,5619,5625,5647,5648,5651,5670,5678,5679,5684,5685,5695,5697,5709,5713,5722,5723,5725,5726,5742,5746,5757,5758,5769,5776,5791,5795,5798,5804,5805,5806,5809,5814,5850,5851,5854,5856,5859,5860,5861,5863,5865,5867,5872,5879,5894,5908,5913,5914,5917,5928,5929,5936,5938,5942,5944,5949,5958,5993,6006,6015,6018,6027,6031,6032,6033,6034,6035,6043,6054,6060,6078,6081,6092,6123,6137,6164,6181,6182,6185,6201,6203,6204,6206,6221,6222,6225,6227,6230,6231,6246,6254,6255,6256,6258,6260,6294,6295,6300,6303,6310,6314,6348,6350,6352,6354,6363,6365,6367,6373,6375,6380,6383,6391,6399,6401,6402,6408,6429,6430,6431,6432,6434,6440,6445,6479,6480,6484,6485,6486,6487,6488,6489,6490,6499,6533,6534,6543,6565,6566,6586,6588,6599,6600,6608,6639,6640,6654,6675,6694,6696,6697,6749,6773,6817,6836,6845,6846,6847,6848,6866,6867,6874,6886,6889,6891,6893,6894,6895,6897,6911,6922,6923,6924,6937,6989,7000,7002,7006,7024,7025,7060,7073,7103,7188,7216,7271,7292,7301,7304,7367,7377,7441,7443,7458,7467,7470,7471,7487,7491,7493,7543,7553,7559,7574,7623,7624,7628,7669,7670,7688,7750,7757,7775,7799,7822,7834,7850,7860,7871,7872,7900,7902,7904,7914,7956,7968,7993,8053,8085,8120,8167,8183,8185,8200,8201,8276,8344,8368,8387,8414,8415,8497,8512,8514,8516,8522,8539,8543,8558,8582,8593,8595,8608,8613,8617,8618,8619,8620,8621,8622,8646,8660,8661,8678,8679,8684,8685,8686,8687,8688,8706,8707,8708,8717,8730,8733,8744,8748,8750,8751,8752,8753,8760,8765,8773,8776,8793,8794,8825,8838,8842,8860,8881,8882,8883,8884,8899,8900,8923,8932,8942,8943,8944,8947,8968,8969,8980,9031,9037,9043,9045,9063,9066,9076,9077,9078,9088,9155,9186,9187,9188,9202,9218,9227,9228,9256,9257,9258,9259,9260,9262,9310,9336,9371,9381,9382,9383,9393,9420,9436,9440,9443,9466,9467,9494,9556,9561,9564,9597,9598,9599,9624,9625,9641,9661,9667,9679,9704,9725,9734,9735,9736,9737,9754,9756,9761,9791,9792,9798,9799,9844,9845,9855,9879,9898,9900,9901,9910,9922,9947,9980,9982,9986,10034,10075,10076,10078,10087,10088,10108,10113,10204,10290,10291,10355,10370,2,8,9,4692,4693,4711,4753,4755,4756,4780,4786,4787,4797,4842,4844,4892,5022,5023,5036,5061,5116,5117,5123,5124,5126,5128,5137,5140,5141,5149,5161,5162,5168,5189,5190,5211,5216,5217,5218,5219,5223,5231,5234,5241,5242,5243,5299,5304,5305,5310,5316,5346,5356,5361,5377,5395,5396,5403,5404,5405,5416,5434,5436,5437,5444,5451,5452,5464,5465,5466,5467,5469,5470,5474,5475,5476,5477,5507,5508,5509,5517,5518,5519,5520,5564,5566,5568,5604,5606,5607,5609,5610,5612,5613,5615,5624,5629,5630,5631,5633,5635,5636,5637,5638,5639,5640,5649,5659,5662,5673,5689,5690,5693,5703,5705,5706,5707,5734,5744,5760,5761,5770,5771,5773,5775,5780,5816,5821,5823,5881,5915,5916,5921,5927,5930,5931,5932,5933,5945,5955,5959,5960,5969,5990,6019,6038,6041,6042,6044,6071,6072,6073,6076,6077,6094,6107,6108,6139,6140,6144,6166,6169,6172,6194,6195,6223,6226,6234,6245,6253,6257,6264,6265,6266,6267,6297,6315,6366,6403,6405,6426,6427,6433,6436,6437,6441,6456,6472,6492,6493,6500,6509,6511,6526,6546,6553,6555,6570,6571,6574,6575,6577,6579,6580,6581,6583,6585,6587,6593,6594,6595,6596,6602,6604,6648,6653,6669,6670,6671,6672,6708,6713,6715,6720,6721,6729,6733,6745,6769,6770,6771,6772,6784,6789,6808,6812,6830,6857,6860,6861,6862,6868,6882,6903,6905,6907,6909,6912,6918,6920,6934,6939,6940,6975,6978,6979,6992,6993,6994,6995,7014,7015,7033,7058,7081,7092,7094,7095,7097,7099,7131,7132,7135,7136,7137,7138,7140,7142,7170,7179,7180,7191,7201,7240,7250,7254,7261,7272,7277,7279,7286,7295,7308,7325,7346,7348,7365,7370,7423,7425,7426,7427,7434,7440,7442,7506,7525,7540,7556,7557,7573,7605,7608,7615,7631,7653,7671,7674,7675,7685,7704,7705,7707,7709,7711,7713,7739,7765,7766,7798,7800,7801,7802,7807,7828,7846,7851,7857,7859,7867,7879,7880,7882,7912,7939,8006,8007,8008,8056,8063,8064,8087,8088,8107,8108,8109,8175,8176,8177,8203,8204,8240,8246,8257,8268,8299,8303,8309,8321,8339,8345,8367,8412,8444,8456,8475,8478,8505,8530,8596,8597,8600,8601,8710,8711,8712,8713,8739,8768,8797,8841,8859,8901,8917,8961,8964,8977,8984,9028,9051,9072,9073,9090,9091,9104,9224,9230,9234,9254,9272,9297,9299,9302,9308,9311,9312,9322,9323,9343,9349,9358,9365,9406,9424,9444,9479,9480,9486,9547,9553,9593,9603,9606,9607,9609,9610,9623,9646,9660,9669,9670,9672,9674,9703,9825,9826,9874,9875,9915,9953,10061,10117,10180,10266,10282,10287,3,2755,2761,2764,2775,2777,2778,2779,2780,2781,2787,2789,2791,2796,2806,2807,2808,2810,2811,2812,2816,2817,2818,2819,2821,2822,2823,2824,2825,2827,2828,2829,2831,2837,2846,2847,2849,2851,2854,2855,2856,2857,2858,2859,2861,2862,2864,2865,2885,2886,2888,2889,2890,2891,2892,2897,2898,2899,2900,2901,2903,2904,2910,2915,2919,2920,2921,2924,2925,2926,2929,2930,2934,2936,2941,2944,2945,2946,2960,2982,2984,2986,2988,2989,5394,5433,5577,5578,5579,5660,5759,5790,5824,5840,5842,5848,5909,5910,5911,5912,5919,5957,6089,6138,6163,6198,6381,6388,6424,6425,6446,6449,6451,6458,6459,6460,6461,6462,6463,6464,6465,6548,6618,6619,6706,6740,6741,6781,6782,6919,6933,7003,7004,7011,7034,7065,7067,7113,7133,7134,7149,7150,7152,7190,7234,7235,7332,7403,7404,7405,7406,7421,7459,7511,7512,7521,7528,7530,7542,7576,7577,7578,7579,7719,7720,7726,7727,7729,7731,7947,7949,7950,7966,8003,8004,8083,8128,8187,8209,8210,8284,8380,8454,8455,8457,8490,8554,8555,8631,8653,8654,8655,8656,8800,9021,9047,9048,9119,9133,9189,9190,9319,9352,9376,9407,9449,9644,9911,10086,10142,10144,6531,6532,6621,6641,6642,6698,7055,7270,8725,8955,9145,9146,9215,9216,9403,9496,9497,9498,9499,9706,9974,10341,10342,6601,8546,8547,9010,9029,9975,10340,4726,4758,4759,4760,4763,4809,4813,4818,4956,4971,5003,5004,5035,5094,5097,5156,5273,5293,5331,5332,5334,5341,5342,5366,5410,5441,5463,5593,5665,5666,5667,5727,5786])).
% 192.29/192.30 cnf(13634,plain,
% 192.29/192.30 (E(f329(x136341,f329(f94(x136342,x136343,f247(f917(x136342,a904)),x136341),f329(x136341,x136344))),f329(x136341,x136344))),
% 192.29/192.30 inference(rename_variables,[],[11264])).
% 192.29/192.30 cnf(13639,plain,
% 192.29/192.30 (~P1(f329(f329(f331(f916(x136391,x136391)),x136392),f268(x136391,f191(f917(x136391,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[11124])).
% 192.29/192.30 cnf(13646,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x136461),x136462),f191(f917(x136461,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13652,plain,
% 192.29/192.30 (E(f329(x136521,f329(f94(x136522,x136523,f247(f917(x136522,a904)),x136521),f329(x136521,x136524))),f329(x136521,x136524))),
% 192.29/192.30 inference(rename_variables,[],[11264])).
% 192.29/192.30 cnf(13659,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x136591),x136592),f191(f917(x136591,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13666,plain,
% 192.29/192.30 (~P41(x136661,x136662,x136663,f329(f329(f157(x136664,x136661),x136665),f329(a117,f118(x136664))),f118(x136662))),
% 192.29/192.30 inference(rename_variables,[],[11405])).
% 192.29/192.30 cnf(13669,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x136691),x136692),f191(f917(x136691,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13674,plain,
% 192.29/192.30 (E(f329(x136741,f329(f94(x136742,x136743,f247(f917(x136742,a904)),x136741),f329(x136741,x136744))),f329(x136741,x136744))),
% 192.29/192.30 inference(rename_variables,[],[11264])).
% 192.29/192.30 cnf(13677,plain,
% 192.29/192.30 (~E(f329(f329(f154(x136771),x136772),x136773),x136773)),
% 192.29/192.30 inference(rename_variables,[],[4602])).
% 192.29/192.30 cnf(13682,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x136821),x136821))),
% 192.29/192.30 inference(rename_variables,[],[3426])).
% 192.29/192.30 cnf(13685,plain,
% 192.29/192.30 (P1(f329(f329(f331(x136851),f329(x136852,x136853)),f329(f312(x136854,x136851,x136852),f247(f917(x136854,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[4026])).
% 192.29/192.30 cnf(13690,plain,
% 192.29/192.30 (P1(f329(f329(f239(a1),x136901),x136901))),
% 192.29/192.30 inference(rename_variables,[],[3427])).
% 192.29/192.30 cnf(13695,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x136951),x136952),f191(f917(x136951,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13698,plain,
% 192.29/192.30 (~P1(f329(f329(f331(f916(x136981,x136981)),x136982),f268(x136981,f191(f917(x136981,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[11124])).
% 192.29/192.30 cnf(13705,plain,
% 192.29/192.30 (~P1(f329(f329(f331(a909),x137051),f329(f285(a909),f2(a909))))),
% 192.29/192.30 inference(rename_variables,[],[11974])).
% 192.29/192.30 cnf(13708,plain,
% 192.29/192.30 (E(f329(f287(x137081,x137081),f268(x137081,x137082)),x137082)),
% 192.29/192.30 inference(rename_variables,[],[3384])).
% 192.29/192.30 cnf(13720,plain,
% 192.29/192.30 (~P1(f329(f329(f331(a909),x137201),f329(f285(a909),f2(a909))))),
% 192.29/192.30 inference(rename_variables,[],[11974])).
% 192.29/192.30 cnf(13723,plain,
% 192.29/192.30 (E(f329(f312(x137231,x137231,f33(x137231)),x137232),x137232)),
% 192.29/192.30 inference(rename_variables,[],[3483])).
% 192.29/192.30 cnf(13726,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x137261),x137262),f191(f917(x137261,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13729,plain,
% 192.29/192.30 (~P1(f329(f329(f240(a909),x137291),x137291))),
% 192.29/192.30 inference(rename_variables,[],[4638])).
% 192.29/192.30 cnf(13738,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x137381),x137382),f329(f313(x137381,x137383,x137384),f191(f917(x137383,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[11127])).
% 192.29/192.30 cnf(13747,plain,
% 192.29/192.30 (~P1(f329(f329(f331(a909),x137471),f329(f285(a909),f2(a909))))),
% 192.29/192.30 inference(rename_variables,[],[11974])).
% 192.29/192.30 cnf(13750,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x137501),f329(f329(f82(a909),x137501),x137502)))),
% 192.29/192.30 inference(rename_variables,[],[3687])).
% 192.29/192.30 cnf(13753,plain,
% 192.29/192.30 (P1(f329(f329(f240(a1),f329(f329(f23(a1),x137531),f80(a1))),x137531))),
% 192.29/192.30 inference(rename_variables,[],[10940])).
% 192.29/192.30 cnf(13761,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),f46(a909,x137611,x137612)),x137611))),
% 192.29/192.30 inference(rename_variables,[],[3880])).
% 192.29/192.30 cnf(13793,plain,
% 192.29/192.30 (P1(f329(f329(f239(f917(x137931,a904)),f329(f175(x137931),f179(x137931,x137932,x137933))),f329(f175(x137931),x137932)))),
% 192.29/192.30 inference(rename_variables,[],[4117])).
% 192.29/192.30 cnf(13796,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x137961),f329(f329(f83(a909),x137961),x137961)))),
% 192.29/192.30 inference(rename_variables,[],[3688])).
% 192.29/192.30 cnf(13801,plain,
% 192.29/192.30 (~P1(f329(f329(f331(f916(x138011,x138011)),x138012),f268(x138011,f191(f917(x138011,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[11124])).
% 192.29/192.30 cnf(13807,plain,
% 192.29/192.30 (~P1(f329(f329(f239(a909),f329(f329(f83(a909),f329(a117,x138071)),f329(a117,x138071))),x138071))),
% 192.29/192.30 inference(rename_variables,[],[10877])).
% 192.29/192.30 cnf(13816,plain,
% 192.29/192.30 (~P1(f329(f329(f331(f916(x138161,x138161)),x138162),f268(x138161,f191(f917(x138161,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[11124])).
% 192.29/192.30 cnf(13822,plain,
% 192.29/192.30 (E(f329(f287(x138221,x138221),f268(x138221,x138222)),x138222)),
% 192.29/192.30 inference(rename_variables,[],[3384])).
% 192.29/192.30 cnf(13850,plain,
% 192.29/192.30 (E(f329(f329(f137(x138501),x138502),f118(x138501)),x138502)),
% 192.29/192.30 inference(rename_variables,[],[3355])).
% 192.29/192.30 cnf(13864,plain,
% 192.29/192.30 (P1(f329(f329(f239(f917(x138641,a904)),f329(f175(x138641),f179(x138641,x138642,x138643))),f329(f175(x138641),x138642)))),
% 192.29/192.30 inference(rename_variables,[],[4117])).
% 192.29/192.30 cnf(13871,plain,
% 192.29/192.30 (~P1(f329(f329(f331(f916(x138711,x138711)),x138712),f268(x138711,f191(f917(x138711,a904)))))),
% 192.29/192.30 inference(rename_variables,[],[11124])).
% 192.29/192.30 cnf(13885,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x138851),f329(f329(f83(a909),x138851),x138851)))),
% 192.29/192.30 inference(rename_variables,[],[3688])).
% 192.29/192.30 cnf(13899,plain,
% 192.29/192.30 (~P1(f329(f329(f331(a909),x138991),f329(f285(a909),f2(a909))))),
% 192.29/192.30 inference(rename_variables,[],[11974])).
% 192.29/192.30 cnf(13917,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),f2(a909)),x139171))),
% 192.29/192.30 inference(rename_variables,[],[3446])).
% 192.29/192.30 cnf(13920,plain,
% 192.29/192.30 (~E(f329(f329(f154(x139201),x139202),x139203),x139203)),
% 192.29/192.30 inference(rename_variables,[],[4602])).
% 192.29/192.30 cnf(13941,plain,
% 192.29/192.30 (P1(f329(f329(f239(a909),x139411),f329(f329(f83(a909),x139411),x139411)))),
% 192.29/192.30 inference(rename_variables,[],[3688])).
% 192.29/192.30 cnf(13957,plain,
% 192.29/192.30 (~P1(f329(f329(f331(x139571),x139572),f191(f917(x139571,a904))))),
% 192.29/192.30 inference(rename_variables,[],[4651])).
% 192.29/192.30 cnf(13963,plain,
% 192.29/192.30 (~E(f329(f329(f154(x139631),x139632),x139633),x139633)),
% 192.29/192.30 inference(rename_variables,[],[4602])).
% 192.29/192.30 cnf(14054,plain,
% 192.29/192.30 ($false),
% 192.29/192.30 inference(scs_inference,[],[3452,3863,4201,4008,3216,4664,3426,13682,3428,4059,4668,4639,4631,3518,3875,4026,13685,4651,13646,13659,13669,13695,13726,13957,4117,13793,13864,4592,4589,4602,13677,13920,13963,3408,3505,4194,3427,13690,3880,13761,3446,13917,3720,3872,3688,13796,13885,13941,3687,13750,4297,3873,3384,13708,13822,3355,13850,4638,13729,4661,4666,4662,4663,3628,11725,10479,13295,10533,12161,12033,12075,13194,11535,13473,12439,10771,11259,12718,11374,10940,13753,3790,11109,12670,11264,13634,13652,13674,13411,11111,11521,10882,3369,11328,11169,13206,13209,10895,11870,12483,11972,11974,13705,13720,13747,13899,12966,11316,11124,13639,13698,13801,13816,13871,11127,13738,11359,11447,10877,13807,10982,12235,11382,11405,13666,12316,10868,3062,3483,13723,8776,5875,5324,5667,5758,6164,6817,5410,8608,5358,5096,9982,6675,6533,9443,6867,6206,4760,5043,6137,5757,9440,5521,5713,6891,8860,9381,5021,5095,8923,8200,8620,8684,5913,6092,8053,8185,8717,5529,9310,8582,9382,5593,5854,5585,8943,6440,5861,6348,5665,6599,8753,6375,6911,7628,4956,5335,6182,2,5892,5570,5936,6260,7271,8733,7002,7000,10291,4763,6352,6485,7968,6845,9031,9076,4679,7491,6383,9258,9088,9734,5850,6303,6365,5094,5813,5156,5171,5856,7493,8707,9436,6499,8968,6006,5879,10370,5865,5648,5809,9599,8512,7850,9494,5355,5555,8415,8825,6937,6255,7471,5597,6924,7103,8514,9754,5423,4979,6033,8748,5438,8,6408,6488,7073,6886,9420,9737,6035,8980,10355,9598,9063,5426,5525,6043,7900,8167,9900,6773,8414,9910,10290,6295,8750,9,4893,6922,5222,7670,7060,7487,6847,8201,4809,5877,7024,9735,6543,8794,9761,5422,6258,9393,9228,10108,6202,5458,8708,8183,6608,6565,4793]),
% 192.29/192.30 ['proof']).
% 192.29/192.30 % SZS output end Proof
% 192.29/192.30 % Total time :163.830000s
%------------------------------------------------------------------------------